%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWW412-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 03:27:04 PM UTC 2026
% Result : Unsatisfiable 7.39s 1.59s
% Output : Proof 7.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 26 unt; 0 def)
% Number of atoms : 73 ( 34 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 27 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 24 !; 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(f1,axiom,
sep(lseg(X,X),Sigma) = Sigma,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normalization) ).
fof(f1_nnf,plain,
! [X,Sigma] : sep(lseg(X,X),Sigma) = Sigma,
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Sigma] : sep(lseg(X,X),Sigma) = Sigma,
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f7,axiom,
( heap(sep(lseg(X,Z),Sigma))
| X = Y
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_2) ).
fof(f7_nnf,plain,
! [X,Y,Z,Sigma] :
( heap(sep(lseg(X,Z),Sigma))
| X = Y
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,Y,Z,Sigma] :
( heap(sep(lseg(X,Z),Sigma))
| X = Y
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( heap(sep(lseg(X0,X2),X3))
| X0 = X1
| ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3))) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p47,plain,
( heap(sep(lseg(X0,X1),X2))
| X0 = X1
| ~ heap(sep(next(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c1,c7]) ).
cnf(p72,plain,
( heap(sep(lseg(X1,X2),sep(X0,X3)))
| X1 = X2
| ~ heap(sep(X0,sep(next(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c0,p47]) ).
cnf(p155,plain,
( heap(sep(lseg(X2,X3),sep(X0,sep(X1,X4))))
| X2 = X3
| ~ heap(sep(X0,sep(X1,sep(next(X2,X3),X4)))) ),
inference(superposition,[status(thm)],[c0,p72]) ).
cnf(f18,hypothesis,
heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),sep(next(x2,x3),emp))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).
fof(f18_nnf,plain,
heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),sep(next(x2,x3),emp))))),
inference(nnf_transformation,[status(thm)],[f18]) ).
cnf(c18,plain,
heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),sep(next(x2,x3),emp))))),
inference(cnf_transformation,[status(esa)],[f18_nnf]) ).
cnf(p293,plain,
( heap(sep(lseg(x1,x4),sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x2,x3),emp)))))
| x1 = x4 ),
inference(resolution,[status(thm)],[p155,c18]) ).
cnf(f8,axiom,
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_3) ).
fof(f8_nnf,plain,
! [X,Y,Sigma] :
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X,Y,Sigma] :
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( heap(sep(lseg(X0,nil),X2))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,nil),X2))) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p54,plain,
( heap(sep(lseg(X0,nil),sep(X2,X3)))
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X1,nil),X3)))) ),
inference(superposition,[status(thm)],[c0,c8]) ).
cnf(p295,plain,
( heap(sep(lseg(x1,nil),sep(lseg(x3,nil),sep(next(x2,x3),emp))))
| x1 = x4 ),
inference(resolution,[status(thm)],[p293,p54]) ).
cnf(p297,plain,
( heap(sep(lseg(x1,nil),sep(lseg(x2,x3),sep(lseg(x3,nil),emp))))
| x2 = x3
| x1 = x4 ),
inference(resolution,[status(thm)],[p295,p155]) ).
cnf(p102,plain,
( heap(sep(lseg(X1,nil),sep(X0,X3)))
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X2,nil),X3)))) ),
inference(superposition,[status(thm)],[c0,p54]) ).
cnf(p300,plain,
( heap(sep(lseg(x1,nil),sep(lseg(x2,nil),emp)))
| x2 = x3
| x1 = x4 ),
inference(resolution,[status(thm)],[p297,p102]) ).
cnf(f19,negated_conjecture,
~ heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
fof(f19_nnf,plain,
~ heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
~ heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
~ heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p20,plain,
~ heap(sep(lseg(x1,nil),sep(lseg(x2,nil),emp))),
inference(superposition,[status(thm)],[c0,c19]) ).
cnf(p301,plain,
( x2 = x3
| x1 = x4 ),
inference(resolution,[status(thm)],[p300,p20]) ).
cnf(f14,hypothesis,
x3 != x2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).
fof(f14_nnf,plain,
x3 != x2,
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
x3 != x2,
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
x3 != x2,
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p303,plain,
( x2 != x2
| x1 = x4 ),
inference(superposition,[status(thm)],[p301,c14]) ).
cnf(p312,plain,
x1 = x4,
inference(equality_resolution,[status(thm)],[p303]) ).
cnf(f16,hypothesis,
x1 != x4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_6) ).
fof(f16_nnf,plain,
x1 != x4,
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
x1 != x4,
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
x1 != x4,
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p313,plain,
$false,
inference(resolution,[status(thm)],[p312,c16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW412-1 : 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 : n018.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 22:20:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.39/1.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.39/1.59 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------