%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWW417-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 2.20s 0.78s
% Output : Proof 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 18 unt; 0 def)
% Number of atoms : 35 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 0 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(f7,axiom,
( heap(sep(lseg(X,Z),Sigma))
| X = Y
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) ),
file('/export/starexec/sandbox/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(p33,plain,
( heap(sep(lseg(X2,X1),X3))
| X2 = X0
| ~ heap(sep(lseg(X0,X1),sep(next(X2,X0),X3))) ),
inference(superposition,[status(thm)],[c0,c7]) ).
cnf(f13,hypothesis,
heap(sep(lseg(x2,nil),sep(next(x1,x2),emp))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).
fof(f13_nnf,plain,
heap(sep(lseg(x2,nil),sep(next(x1,x2),emp))),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
heap(sep(lseg(x2,nil),sep(next(x1,x2),emp))),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(p83,plain,
( heap(sep(lseg(x1,nil),emp))
| x1 = x2 ),
inference(resolution,[status(thm)],[p33,c13]) ).
cnf(f14,negated_conjecture,
~ heap(sep(lseg(x1,nil),emp)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).
fof(f14_nnf,plain,
~ heap(sep(lseg(x1,nil),emp)),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
~ heap(sep(lseg(x1,nil),emp)),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
~ heap(sep(lseg(x1,nil),emp)),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p84,plain,
x1 = x2,
inference(resolution,[status(thm)],[p83,c14]) ).
cnf(f12,hypothesis,
x2 != x1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
fof(f12_nnf,plain,
x2 != x1,
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
x2 != x1,
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
x2 != x1,
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p85,plain,
x1 != x1,
inference(superposition,[status(thm)],[p84,c12]) ).
cnf(p88,plain,
$false,
inference(equality_resolution,[status(thm)],[p85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW417-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/0.35 % Computer : n010.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Thu Sep 24 22:19:28 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.12/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.20/0.78 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.20/0.78 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------