## TSTP Solution File: LCL666+1.001 by Vampire-SAT---4.7

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.7
% Problem  : LCL666+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode casc_sat --cores 8 -t %d %s

% Computer : n026.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 : Sun Sep 18 04:52:24 EDT 2022

% Result   : Theorem 0.21s 0.42s
% Output   : Refutation 0.21s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   53 (  30   ~;  13   |;  10   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   13 (   8   !;   5   ?)

%------------------------------------------------------------------------------
fof(f13,plain,
\$false,
inference(subsumption_resolution,[],[f12,f9]) ).

fof(f9,plain,
p101(sK0),
inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
? [X0] :
( p101(X0)
& p201(X0)
& ! [X1] :
( ~ p101(X1)
| ~ p201(X1)
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f5]) ).

fof(f5,plain,
? [X0] :
( p101(X0)
& p201(X0)
& ! [X1] :
( ~ p101(X1)
| ~ p201(X1)
| ~ r1(X0,X1) ) ),
inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
? [X0] :
~ ( ~ ( p101(X0)
& p201(X0) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p201(X1) )
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f3]) ).

fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p101(X0)
& p201(X0) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p201(X1) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f2]) ).

fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( p101(X0)
& p201(X0) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p201(X1) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

fof(f12,plain,
~ p101(sK0),
inference(subsumption_resolution,[],[f11,f8]) ).

fof(f8,plain,
p201(sK0),
inference(cnf_transformation,[],[f6]) ).

fof(f11,plain,
( ~ p201(sK0)
| ~ p101(sK0) ),
inference(resolution,[],[f7,f10]) ).

fof(f10,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

fof(f7,plain,
! [X1] :
( ~ r1(sK0,X1)
| ~ p201(X1)
| ~ p101(X1) ),
inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : LCL666+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14  % Command    : vampire --ignore_missing on --mode casc_sat --cores 8 -t %d %s
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Thu Sep  1 23:52:08 EDT 2022
% 0.15/0.36  % CPUTime    :
% 0.15/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.36  % (11874)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (11878)dis+1_3_av=off:cond=on:nm=64:newcnf=on:nwc=1_87 on theBenchmark
% 0.21/0.42  % (11880)ott+2_5_afp=4000:afq=2.0:anc=none:bce=on:fsr=off:gsp=on:lma=on:nm=32:nwc=1:sp=reverse_arity_315 on theBenchmark
% 0.21/0.42  % (11879)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
% 0.21/0.42  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
% 0.21/0.42  % (11878)First to succeed.
% 0.21/0.42  % (11881)fmb+10_1_av=off:bce=on:fmbes=smt:fmbsr=1.4:fde=none:ile=on:updr=off_600 on theBenchmark
% 0.21/0.42  % (11880)Also succeeded, but the first one will report.
% 0.21/0.42  % (11877)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
% 0.21/0.42  % (11878)Refutation found. Thanks to Tanya!
% 0.21/0.42  % SZS status Theorem for theBenchmark
% 0.21/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42  % (11878)------------------------------
% 0.21/0.42  % (11878)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
% 0.21/0.42  % (11878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.42  % (11878)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42  % (11878)Memory used [KB]: 1023
% 0.21/0.42  % (11878)Time elapsed: 0.003 s
% 0.21/0.42  % (11878)------------------------------
% 0.21/0.42  % (11878)------------------------------
% 0.21/0.42  % (11874)Success in time 0.062 s
%------------------------------------------------------------------------------
```