%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWW407-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.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 03:27:03 PM UTC 2026
% Result : Unsatisfiable 6.16s 11.57s
% Output : Proof 6.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 22 unt; 0 def)
% Number of atoms : 53 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 70 ( 0 sgn 28 !; 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(f9,axiom,
( heap(sep(lseg(X,Z),sep(next(Z,W),Sigma)))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,Z),sep(next(Z,W),Sigma)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_4) ).
fof(f9_nnf,plain,
! [X,Y,Z,W,Sigma] :
( heap(sep(lseg(X,Z),sep(next(Z,W),Sigma)))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,Z),sep(next(Z,W),Sigma)))) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Y,Z,W,Sigma] :
( heap(sep(lseg(X,Z),sep(next(Z,W),Sigma)))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,Z),sep(next(Z,W),Sigma)))) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( heap(sep(lseg(X0,X2),sep(next(X2,X3),X4)))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(next(X2,X3),X4)))) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p61,plain,
( heap(sep(lseg(X2,X1),sep(next(X1,X3),X4)))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X2,X0),sep(next(X1,X3),X4)))) ),
inference(superposition,[status(thm)],[c0,c9]) ).
cnf(p111,plain,
( heap(sep(lseg(X2,X1),sep(next(X1,X4),sep(X3,X5))))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X2,X0),sep(X3,sep(next(X1,X4),X5))))) ),
inference(superposition,[status(thm)],[c0,p61]) ).
cnf(f19,hypothesis,
heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_9) ).
fof(f19_nnf,plain,
heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
inference(nnf_transformation,[status(thm)],[f19]) ).
cnf(c19,plain,
heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
inference(cnf_transformation,[status(esa)],[f19_nnf]) ).
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(p76,plain,
( heap(sep(lseg(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp)))))
| x1 = x2 ),
inference(resolution,[status(thm)],[c19,p47]) ).
cnf(p227,plain,
( x1 = x2
| heap(sep(lseg(x3,x2),sep(lseg(x4,nil),sep(next(x2,x4),emp)))) ),
inference(resolution,[status(thm)],[p111,p76]) ).
cnf(f20,negated_conjecture,
~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
fof(f20_nnf,plain,
~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p21,plain,
~ heap(sep(lseg(x3,x2),sep(lseg(x4,nil),sep(next(x2,x4),emp)))),
inference(superposition,[status(thm)],[c0,c20]) ).
cnf(p228,plain,
x1 = x2,
inference(resolution,[status(thm)],[p227,p21]) ).
cnf(f15,hypothesis,
x1 != x2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_5) ).
fof(f15_nnf,plain,
x1 != x2,
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
x1 != x2,
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
x1 != x2,
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p231,plain,
$false,
inference(resolution,[status(thm)],[p228,c15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW407-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/10.39 % Computer : n017.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Thu Sep 24 22:13:41 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.11/10.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.16/11.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.16/11.57 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------