## TSTP Solution File: SYN721+1 by Vampire-SAT---4.7

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.7
% Problem  : SYN721+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode casc_sat --cores 8 -t %d %s

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 29 23:44:51 EDT 2022

% Result   : Theorem 0.22s 0.42s
% Output   : Refutation 0.22s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   48 (  15   ~;   9   |;  15   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   37 (  31   !;   6   ?)

%------------------------------------------------------------------------------
fof(f14,plain,
\$false,
inference(resolution,[],[f12,f11]) ).

fof(f11,plain,
~ r(b,a),
inference(resolution,[],[f10,f6]) ).

fof(f6,plain,
! [X5] :
( ~ q(X5,a)
| ~ r(b,X5) ),
inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
( ! [X5] :
( ~ q(X5,a)
| ~ r(b,X5) )
& ! [X0,X1] :
( ! [X2] : r(X2,X1)
| ~ q(X0,X1) )
& ! [X3] :
( q(X3,X3)
| ! [X4] : ~ r(X3,X4) )
& r(a,b) ),
inference(flattening,[],[f4]) ).

fof(f4,plain,
( ! [X5] :
( ~ q(X5,a)
| ~ r(b,X5) )
& ! [X0,X1] :
( ! [X2] : r(X2,X1)
| ~ q(X0,X1) )
& ! [X3] :
( q(X3,X3)
| ! [X4] : ~ r(X3,X4) )
& r(a,b) ),
inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
~ ( ( ! [X0,X1] :
( q(X0,X1)
=> ! [X2] : r(X2,X1) )
& ! [X3] :
( ? [X4] : r(X3,X4)
=> q(X3,X3) )
& r(a,b) )
=> ? [X5] :
( q(X5,a)
& r(b,X5) ) ),
inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
~ ( ( ! [X2,X3] :
( q(X2,X3)
=> ! [X4] : r(X4,X3) )
& ! [X0] :
( ? [X1] : r(X0,X1)
=> q(X0,X0) )
& r(a,b) )
=> ? [X5] :
( q(X5,a)
& r(b,X5) ) ),
inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
( ( ! [X2,X3] :
( q(X2,X3)
=> ! [X4] : r(X4,X3) )
& ! [X0] :
( ? [X1] : r(X0,X1)
=> q(X0,X0) )
& r(a,b) )
=> ? [X5] :
( q(X5,a)
& r(b,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1) ).

fof(f10,plain,
q(a,a),
inference(resolution,[],[f8,f9]) ).

fof(f9,plain,
r(a,b),
inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
! [X3,X4] :
( ~ r(X3,X4)
| q(X3,X3) ),
inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
! [X0] : r(X0,a),
inference(resolution,[],[f10,f7]) ).

fof(f7,plain,
! [X2,X0,X1] :
( ~ q(X0,X1)
| r(X2,X1) ),
inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN721+1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.14  % Command    : vampire --ignore_missing on --mode casc_sat --cores 8 -t %d %s
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Sep  5 06:57:33 EDT 2022
% 0.14/0.35  % CPUTime    :
% 0.14/0.35  This is a FOF_THM_EPR_NEQ problem
% 0.14/0.36  % (28556)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  WARNING Broken Constraint: if avatar(off) has been set then saturation_algorithm(fmb) is equal to lrs or saturation_algorithm(fmb) is equal to otter or saturation_algorithm(fmb) is equal to discount
% 0.22/0.42  % (28560)dis+1_3_av=off:cond=on:nm=64:newcnf=on:nwc=1_87 on theBenchmark
% 0.22/0.42  % (28564)fmb+10_1_av=off:bce=on:fmbsr=1.3:nm=2:newcnf=on_1200 on theBenchmark
% 0.22/0.42  WARNING Broken Constraint: if avatar(off) has been set then saturation_algorithm(fmb) is equal to lrs or saturation_algorithm(fmb) is equal to otter or saturation_algorithm(fmb) is equal to discount
% 0.22/0.42  % (28563)fmb+10_1_av=off:bce=on:fmbes=smt:fmbsr=1.4:fde=none:ile=on:updr=off_600 on theBenchmark
% 0.22/0.42  % (28559)dis+10_3_add=large:afp=10000:afq=2.0:amm=sco:anc=none:cond=on:fsr=off:gsp=on:lma=on:nm=16:nwc=1:sac=on:updr=off_197 on theBenchmark
% 0.22/0.42  Detected maximum model sizes of [2]
% 0.22/0.42  TRYING [1]
% 0.22/0.42  % (28561)ott-3_5_awrs=decay:awrsf=128:afr=on:afp=40000:afq=1.0:amm=off:anc=none:bce=on:cond=fast:lma=on:nm=64:newcnf=on:nwc=1.1:sas=z3:sp=frequency:updr=off_146 on theBenchmark
% 0.22/0.42  % (28560)First to succeed.
% 0.22/0.42  TRYING [2]
% 0.22/0.42  % (28564)Also succeeded, but the first one will report.
% 0.22/0.42  % (28560)Refutation found. Thanks to Tanya!
% 0.22/0.42  % SZS status Theorem for theBenchmark
% 0.22/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.42  % (28560)------------------------------
% 0.22/0.42  % (28560)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
% 0.22/0.42  % (28560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.42  % (28560)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42  % (28560)Memory used [KB]: 1023
% 0.22/0.42  % (28560)Time elapsed: 0.003 s
% 0.22/0.42  % (28560)------------------------------
% 0.22/0.42  % (28560)------------------------------
% 0.22/0.42  % (28556)Success in time 0.062 s
%------------------------------------------------------------------------------
```