%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWW427-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:27:05 PM UTC 2026
% Result : Unsatisfiable 41.13s 5.66s
% Output : Proof 41.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 45 ( 24 unt; 0 def)
% Number of atoms : 78 ( 61 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 26 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 65 ( 21 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f0,axiom,
sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_commutative) ).
fof(f0_nnf,plain,
! [S,T,Sigma] : sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [S,T,Sigma] : sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(f6,axiom,
( X = Z
| X = Y
| ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wellformedness_5) ).
fof(f6_nnf,plain,
! [X,Y,Z,Sigma] :
( X = Z
| X = Y
| ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y,Z,Sigma] :
( X = Z
| X = Y
| ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( X0 = X2
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p39,plain,
( X0 = X3
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X3),X4)))) ),
inference(superposition,[status(thm)],[c0,c6]) ).
cnf(p87,plain,
( X1 = X3
| X1 = X2
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))) ),
inference(superposition,[status(thm)],[c0,p39]) ).
cnf(p126,plain,
( X1 = X4
| X1 = X2
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(lseg(X1,X4),X5))))) ),
inference(superposition,[status(thm)],[c0,p87]) ).
cnf(p238,plain,
( X2 = X4
| X2 = X3
| ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(lseg(X2,X4),X5))))) ),
inference(superposition,[status(thm)],[c0,p126]) ).
cnf(p295,plain,
( X2 = X5
| X2 = X3
| ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(X4,sep(lseg(X2,X5),X6)))))) ),
inference(superposition,[status(thm)],[c0,p238]) ).
cnf(p377,plain,
( X2 = X6
| X2 = X3
| ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(X4,sep(X5,sep(lseg(X2,X6),X7))))))) ),
inference(superposition,[status(thm)],[c0,p295]) ).
cnf(f20,hypothesis,
heap(sep(lseg(x10,x1),sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_10) ).
fof(f20_nnf,plain,
heap(sep(lseg(x10,x1),sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(nnf_transformation,[status(thm)],[f20]) ).
cnf(c20,plain,
heap(sep(lseg(x10,x1),sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(cnf_transformation,[status(esa)],[f20_nnf]) ).
cnf(p77,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp)))))))))),
inference(superposition,[status(thm)],[c0,c20]) ).
cnf(p296,plain,
( x11 = x7
| x11 = x9 ),
inference(resolution,[status(thm)],[p238,p77]) ).
cnf(p302,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x10),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x10,x1),emp))))))))))
| x11 = x9 ),
inference(superposition,[status(thm)],[p296,c20]) ).
cnf(p936,plain,
( x11 = x9
| x11 = x10
| x11 = x9 ),
inference(resolution,[status(thm)],[p377,p302]) ).
cnf(p939,plain,
( x11 = x10
| x11 = x9 ),
inference(factoring,[status(thm)],[p936]) ).
cnf(p942,plain,
( heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x1),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),emp))))))))))
| x11 = x9 ),
inference(superposition,[status(thm)],[p939,c20]) ).
cnf(p2006,plain,
( x11 = x1
| x11 = x9
| x11 = x9 ),
inference(resolution,[status(thm)],[p942,p238]) ).
cnf(p2014,plain,
( x11 = x1
| x11 = x9 ),
inference(factoring,[status(thm)],[p2006]) ).
cnf(f12,hypothesis,
x1 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
fof(f12_nnf,plain,
x1 != x11,
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
x1 != x11,
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
x1 != x11,
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p2017,plain,
( x1 != x1
| x11 = x9 ),
inference(superposition,[status(thm)],[p2014,c12]) ).
cnf(p2132,plain,
x11 = x9,
inference(equality_resolution,[status(thm)],[p2017]) ).
cnf(p127,plain,
( x9 = x7
| x9 = x2 ),
inference(resolution,[status(thm)],[p87,c20]) ).
cnf(f19,hypothesis,
x2 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_9) ).
fof(f19_nnf,plain,
x2 != x11,
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
x2 != x11,
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
x2 != x11,
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p130,plain,
( x9 != x11
| x9 = x7 ),
inference(superposition,[status(thm)],[p127,c19]) ).
cnf(p2138,plain,
( x9 != x9
| x9 = x7 ),
inference(demodulation,[status(thm)],[p2132,p130]) ).
cnf(p2228,plain,
x9 = x7,
inference(equality_resolution,[status(thm)],[p2138]) ).
cnf(f18,hypothesis,
x7 != x9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_8) ).
fof(f18_nnf,plain,
x7 != x9,
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
x7 != x9,
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
x7 != x9,
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p2230,plain,
x9 != x9,
inference(superposition,[status(thm)],[p2228,c18]) ).
cnf(p2234,plain,
$false,
inference(equality_resolution,[status(thm)],[p2230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW427-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/0.41 % Computer : n004.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Thu Sep 24 22:21:06 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 41.13/5.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 41.13/5.66 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------