%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWW437-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.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 97.46s 14.87s
% Output : Proof 97.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 19 unt; 0 def)
% Number of atoms : 60 ( 46 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 17 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 13 ( 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 : 44 ( 9 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f0,axiom,
sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
file('/export/starexec/sandbox2/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(f37,hypothesis,
heap(sep(lseg(x5,x1),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_27) ).
fof(f37_nnf,plain,
heap(sep(lseg(x5,x1),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(nnf_transformation,[status(thm)],[f37]) ).
cnf(c37,plain,
heap(sep(lseg(x5,x1),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(cnf_transformation,[status(esa)],[f37_nnf]) ).
cnf(p86,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(superposition,[status(thm)],[c0,c37]) ).
cnf(f6,axiom,
( X = Z
| X = Y
| ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ),
file('/export/starexec/sandbox2/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(p48,plain,
( X0 = X3
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X3),X4)))) ),
inference(superposition,[status(thm)],[c0,c6]) ).
cnf(p106,plain,
( X1 = X3
| X1 = X2
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))) ),
inference(superposition,[status(thm)],[c0,p48]) ).
cnf(p185,plain,
( x16 = x3
| x16 = x7 ),
inference(resolution,[status(thm)],[p86,p106]) ).
cnf(p196,plain,
( heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x12),sep(lseg(x16,x3),sep(lseg(x11,x8),sep(lseg(x12,x8),sep(lseg(x3,x16),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),emp))))))))))))
| x16 = x7 ),
inference(superposition,[status(thm)],[p185,p86]) ).
cnf(p422,plain,
( x16 = x12
| x16 = x7
| x16 = x7 ),
inference(resolution,[status(thm)],[p196,p106]) ).
cnf(p429,plain,
( x16 = x12
| x16 = x7 ),
inference(factoring,[status(thm)],[p422]) ).
cnf(p433,plain,
( heap(sep(lseg(x16,x7),sep(lseg(x7,x1),sep(lseg(x16,x3),sep(lseg(x16,x8),sep(lseg(x2,x6),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x5,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp))))))))))))
| x16 = x7 ),
inference(superposition,[status(thm)],[p429,c37]) ).
cnf(p107,plain,
( X0 = X4
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(X3,sep(lseg(X0,X4),X5))))) ),
inference(superposition,[status(thm)],[c0,p48]) ).
cnf(p1109,plain,
( x16 = x8
| x16 = x7
| x16 = x7 ),
inference(resolution,[status(thm)],[p433,p107]) ).
cnf(p1127,plain,
( x16 = x8
| x16 = x7 ),
inference(factoring,[status(thm)],[p1109]) ).
cnf(f16,hypothesis,
x3 != x8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_6) ).
fof(f16_nnf,plain,
x3 != x8,
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
x3 != x8,
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
x3 != x8,
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p189,plain,
( x16 != x8
| x16 = x7 ),
inference(superposition,[status(thm)],[p185,c16]) ).
cnf(p1138,plain,
( x16 = x7
| x16 = x7 ),
inference(resolution,[status(thm)],[p1127,p189]) ).
cnf(p1157,plain,
x16 = x7,
inference(factoring,[status(thm)],[p1138]) ).
cnf(f20,hypothesis,
x7 != x16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_10) ).
fof(f20_nnf,plain,
x7 != x16,
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
x7 != x16,
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
x7 != x16,
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p1159,plain,
x7 != x7,
inference(demodulation,[status(thm)],[p1157,c20]) ).
cnf(p1259,plain,
$false,
inference(equality_resolution,[status(thm)],[p1159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW437-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 22:23:08 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 97.46/14.87 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 97.46/14.87 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------