%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWW431-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.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 03:27:06 PM UTC 2026
% Result : Unsatisfiable 34.61s 4.88s
% Output : Proof 34.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 19 unt; 0 def)
% Number of atoms : 69 ( 45 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 24 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 105 ( 45 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(p92,plain,
( X1 = X3
| X1 = X2
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))) ),
inference(superposition,[status(thm)],[c0,p39]) ).
cnf(p132,plain,
( X1 = X4
| X1 = X2
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(lseg(X1,X4),X5))))) ),
inference(superposition,[status(thm)],[c0,p92]) ).
cnf(p262,plain,
( X2 = X4
| X2 = X3
| ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(lseg(X2,X4),X5))))) ),
inference(superposition,[status(thm)],[c0,p132]) ).
cnf(p305,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,p262]) ).
cnf(p351,plain,
( X3 = X5
| X3 = X4
| ~ heap(sep(X0,sep(X1,sep(X2,sep(lseg(X3,X4),sep(lseg(X3,X5),X6)))))) ),
inference(superposition,[status(thm)],[c0,p305]) ).
cnf(p366,plain,
( X3 = X6
| X3 = X4
| ~ heap(sep(X0,sep(X1,sep(X2,sep(lseg(X3,X4),sep(X5,sep(lseg(X3,X6),X7))))))) ),
inference(superposition,[status(thm)],[c0,p351]) ).
cnf(p667,plain,
( X4 = X6
| X4 = X5
| ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(lseg(X4,X5),sep(lseg(X4,X6),X7))))))) ),
inference(superposition,[status(thm)],[c0,p366]) ).
cnf(f23,hypothesis,
heap(sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x2,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_13) ).
fof(f23_nnf,plain,
heap(sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x2,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(nnf_transformation,[status(thm)],[f23]) ).
cnf(c23,plain,
heap(sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x2,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(cnf_transformation,[status(esa)],[f23_nnf]) ).
cnf(p76,plain,
heap(sep(lseg(x12,x7),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x7,x10),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(superposition,[status(thm)],[c0,c23]) ).
cnf(p166,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x11),sep(lseg(x11,x1),sep(lseg(x4,x9),emp))))))))))))),
inference(superposition,[status(thm)],[c0,p76]) ).
cnf(p685,plain,
( x11 = x7
| x11 = x12 ),
inference(resolution,[status(thm)],[p667,p166]) ).
cnf(f17,hypothesis,
x7 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_7) ).
fof(f17_nnf,plain,
x7 != x11,
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
x7 != x11,
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
x7 != x11,
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p690,plain,
( x7 != x7
| x11 = x12 ),
inference(superposition,[status(thm)],[p685,c17]) ).
cnf(p786,plain,
x11 = x12,
inference(equality_resolution,[status(thm)],[p690]) ).
cnf(p797,plain,
heap(sep(lseg(x12,x7),sep(lseg(x7,x10),sep(lseg(x13,x8),sep(lseg(x5,x3),sep(lseg(x12,x12),sep(lseg(x12,x7),sep(lseg(x10,x8),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x1,x12),sep(lseg(x12,x1),sep(lseg(x4,x9),emp))))))))))))),
inference(demodulation,[status(thm)],[p786,p166]) ).
cnf(p36,plain,
( X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X1),X2))) ),
inference(factoring,[status(thm)],[c6]) ).
cnf(p48,plain,
( X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X1),X3)))) ),
inference(superposition,[status(thm)],[c0,p36]) ).
cnf(p65,plain,
( X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(X3,sep(lseg(X0,X1),X4))))) ),
inference(superposition,[status(thm)],[c0,p48]) ).
cnf(p97,plain,
( X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(X3,sep(X4,sep(lseg(X0,X1),X5)))))) ),
inference(superposition,[status(thm)],[c0,p65]) ).
cnf(p139,plain,
( X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(X3,sep(X4,sep(X5,sep(lseg(X0,X1),X6))))))) ),
inference(superposition,[status(thm)],[c0,p97]) ).
cnf(p1592,plain,
x12 = x7,
inference(resolution,[status(thm)],[p797,p139]) ).
cnf(p787,plain,
x7 != x12,
inference(demodulation,[status(thm)],[p786,c17]) ).
cnf(p1597,plain,
x12 != x12,
inference(superposition,[status(thm)],[p1592,p787]) ).
cnf(p1615,plain,
$false,
inference(equality_resolution,[status(thm)],[p1597]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW431-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 22:26:45 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 34.61/4.88 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.61/4.88 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------