## TSTP Solution File: SYN969+1 by Vampire---4.7

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Vampire---4.7
% Problem  : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n005.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 23:37:32 EDT 2022

% Result   : Theorem 0.21s 0.38s
% Output   : Refutation 0.21s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   32 (  10   ~;   6   |;   8   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   14 (  12   !;   2   ?)

%------------------------------------------------------------------------------
fof(f11,plain,
\$false,
inference(subsumption_resolution,[],[f10,f8]) ).

fof(f8,plain,
~ q(sK0),
inference(cnf_transformation,[],[f4]) ).

fof(f4,plain,
? [X0] :
( ~ q(X0)
& ! [X2] :
( p(X2)
| ~ r(X2) )
& r(X0)
& ! [X1] :
( q(X1)
| ~ p(X1) ) ),
inference(flattening,[],[f3]) ).

fof(f3,plain,
? [X0] :
( ~ q(X0)
& ! [X2] :
( p(X2)
| ~ r(X2) )
& r(X0)
& ! [X1] :
( q(X1)
| ~ p(X1) ) ),
inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
~ ! [X0] :
( ( r(X0)
& ! [X1] :
( p(X1)
=> q(X1) ) )
=> ( ! [X2] :
( r(X2)
=> p(X2) )
=> q(X0) ) ),
inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
! [X0] :
( ( r(X0)
& ! [X1] :
( p(X1)
=> q(X1) ) )
=> ( ! [X2] :
( r(X2)
=> p(X2) )
=> q(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f10,plain,
q(sK0),
inference(resolution,[],[f6,f9]) ).

fof(f9,plain,
p(sK0),
inference(resolution,[],[f5,f7]) ).

fof(f7,plain,
r(sK0),
inference(cnf_transformation,[],[f4]) ).

fof(f5,plain,
! [X2] :
( ~ r(X2)
| p(X2) ),
inference(cnf_transformation,[],[f4]) ).

fof(f6,plain,
! [X1] :
( ~ p(X1)
| q(X1) ),
inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Sep  5 09:45:03 EDT 2022
% 0.13/0.34  % CPUTime    :
% 0.13/0.34  This is a FOF_THM_EPR_NEQ problem
% 0.13/0.34  Running vampire --ignore_missing on --mode casc -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % (22751)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38  % (22758)dis+1_8_afp=4000:afq=1.1:amm=sco:gsp=on:nm=64:newcnf=on:nwc=4:sac=on:sp=occurrence:updr=off_191 on theBenchmark
% 0.21/0.38  % (22758)First to succeed.
% 0.21/0.38  % (22758)Refutation found. Thanks to Tanya!
% 0.21/0.38  % SZS status Theorem for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38  % (22758)------------------------------
% 0.21/0.38  % (22758)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
% 0.21/0.38  % (22758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.38  % (22758)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38  % (22758)Memory used [KB]: 5373
% 0.21/0.38  % (22758)Time elapsed: 0.002 s
% 0.21/0.38  % (22758)------------------------------
% 0.21/0.38  % (22758)------------------------------
% 0.21/0.38  % (22751)Success in time 0.036 s
%------------------------------------------------------------------------------
```