%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWW425-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n011.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 17.20s 2.67s
% Output : Proof 17.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 6
% Syntax : Number of formulae : 62 ( 26 unt; 0 def)
% Number of atoms : 129 ( 112 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 93 ( 26 ~; 67 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 57 ( 16 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(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(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(p89,plain,
( X1 = X3
| X1 = X2
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))) ),
inference(superposition,[status(thm)],[c0,p39]) ).
cnf(p129,plain,
( X1 = X4
| X1 = X2
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(lseg(X1,X4),X5))))) ),
inference(superposition,[status(thm)],[c0,p89]) ).
cnf(f22,hypothesis,
heap(sep(lseg(x5,x7),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x2,x1),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x6,x9),emp))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_12) ).
fof(f22_nnf,plain,
heap(sep(lseg(x5,x7),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x2,x1),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x6,x9),emp))))))))),
inference(nnf_transformation,[status(thm)],[f22]) ).
cnf(c22,plain,
heap(sep(lseg(x5,x7),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x2,x1),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x6,x9),emp))))))))),
inference(cnf_transformation,[status(esa)],[f22_nnf]) ).
cnf(p255,plain,
( x2 = x1
| x2 = x5 ),
inference(resolution,[status(thm)],[p129,c22]) ).
cnf(p258,plain,
( heap(sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x3,x10),sep(lseg(x2,x7),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x6,x9),emp)))))))))
| x2 = x1 ),
inference(superposition,[status(thm)],[p255,c22]) ).
cnf(p253,plain,
( X2 = X4
| X2 = X3
| ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(lseg(X2,X4),X5))))) ),
inference(superposition,[status(thm)],[c0,p129]) ).
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,p253]) ).
cnf(p702,plain,
( x2 = x7
| x2 = x1
| x2 = x1 ),
inference(resolution,[status(thm)],[p258,p305]) ).
cnf(p705,plain,
( x2 = x7
| x2 = x1 ),
inference(factoring,[status(thm)],[p702]) ).
cnf(f21,hypothesis,
x2 != x7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_11) ).
fof(f21_nnf,plain,
x2 != x7,
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
x2 != x7,
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
x2 != x7,
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p709,plain,
x2 = x1,
inference(resolution,[status(thm)],[p705,c21]) ).
cnf(p306,plain,
( x2 = x1
| x2 = x10 ),
inference(resolution,[status(thm)],[p253,c22]) ).
cnf(p317,plain,
( x2 = x1
| x10 = x5
| x2 = x1 ),
inference(superposition,[status(thm)],[p306,p255]) ).
cnf(p319,plain,
( x10 = x5
| x2 = x1 ),
inference(factoring,[status(thm)],[p317]) ).
cnf(p130,plain,
( x2 = x10
| x2 = x5 ),
inference(resolution,[status(thm)],[p89,c22]) ).
cnf(p324,plain,
( x2 = x10
| x1 = x5
| x10 = x5 ),
inference(superposition,[status(thm)],[p319,p130]) ).
cnf(p350,plain,
( x10 = x5
| x10 = x1
| x1 = x5
| x10 = x5 ),
inference(superposition,[status(thm)],[p324,p319]) ).
cnf(p356,plain,
( x10 = x1
| x1 = x5
| x10 = x5 ),
inference(factoring,[status(thm)],[p350]) ).
cnf(p131,plain,
( x5 != x10
| x2 = x5 ),
inference(equality_factoring,[status(thm)],[p130]) ).
cnf(p363,plain,
( x10 != x10
| x2 = x5
| x10 = x1
| x1 = x5 ),
inference(superposition,[status(thm)],[p356,p131]) ).
cnf(p414,plain,
( x2 = x5
| x10 = x1
| x1 = x5 ),
inference(equality_resolution,[status(thm)],[p363]) ).
cnf(p422,plain,
( x10 = x1
| x1 = x5
| x10 = x2
| x10 = x1
| x1 = x5 ),
inference(superposition,[status(thm)],[p414,p356]) ).
cnf(p463,plain,
( x10 = x1
| x10 = x2
| x10 = x1
| x1 = x5 ),
inference(factoring,[status(thm)],[p422]) ).
cnf(p466,plain,
( x10 = x2
| x10 = x1
| x1 = x5 ),
inference(factoring,[status(thm)],[p463]) ).
cnf(p468,plain,
( x2 != x1
| x10 = x2
| x1 = x5 ),
inference(equality_factoring,[status(thm)],[p466]) ).
cnf(p470,plain,
( x10 = x5
| x10 = x2
| x1 = x5 ),
inference(resolution,[status(thm)],[p468,p319]) ).
cnf(p475,plain,
( x2 != x5
| x10 = x2
| x1 = x5 ),
inference(equality_factoring,[status(thm)],[p470]) ).
cnf(p487,plain,
( x2 = x1
| x10 = x2
| x1 = x5 ),
inference(resolution,[status(thm)],[p475,p255]) ).
cnf(p514,plain,
( x10 = x2
| x1 = x5
| x10 = x2
| x1 = x5 ),
inference(resolution,[status(thm)],[p487,p468]) ).
cnf(p526,plain,
( x10 = x2
| x10 = x2
| x1 = x5 ),
inference(factoring,[status(thm)],[p514]) ).
cnf(p530,plain,
( x10 = x2
| x1 = x5 ),
inference(factoring,[status(thm)],[p526]) ).
cnf(p764,plain,
( x10 = x1
| x1 = x5 ),
inference(demodulation,[status(thm)],[p709,p530]) ).
cnf(f13,hypothesis,
x1 != x10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
fof(f13_nnf,plain,
x1 != x10,
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
x1 != x10,
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
x1 != x10,
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p778,plain,
( x1 != x1
| x1 = x5 ),
inference(superposition,[status(thm)],[p764,c13]) ).
cnf(p781,plain,
x1 = x5,
inference(equality_resolution,[status(thm)],[p778]) ).
cnf(p711,plain,
heap(sep(lseg(x5,x7),sep(lseg(x1,x5),sep(lseg(x1,x10),sep(lseg(x1,x1),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x6,x9),emp))))))))),
inference(demodulation,[status(thm)],[p709,c22]) ).
cnf(p1190,plain,
heap(sep(lseg(x1,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x5,x7),emp))))))),
inference(superposition,[status(thm)],[p781,p711]) ).
cnf(p1191,plain,
heap(sep(lseg(x1,x7),sep(lseg(x1,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x3,x10),emp))))))),
inference(superposition,[status(thm)],[p781,p1190]) ).
cnf(p1193,plain,
( x1 = x10
| x1 = x7 ),
inference(resolution,[status(thm)],[p1191,c6]) ).
cnf(p1196,plain,
x1 = x7,
inference(resolution,[status(thm)],[p1193,c13]) ).
cnf(f12,hypothesis,
x1 != x7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(f12_nnf,plain,
x1 != x7,
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
x1 != x7,
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
x1 != x7,
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p1197,plain,
$false,
inference(resolution,[status(thm)],[p1196,c12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW425-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n011.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 22:20:59 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.20/2.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.20/2.67 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------