%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWW399-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n003.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 03:27:02 PM UTC 2026
% Result : Unsatisfiable 4.31s 1.12s
% Output : Proof 4.31s
% 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,axiom,
sep(lseg(X,X),Sigma) = Sigma,
file('/export/starexec/sandbox/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/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(p35,plain,
( heap(sep(lseg(X0,X1),X2))
| X0 = X1
| ~ heap(sep(next(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c1,c7]) ).
cnf(f12,hypothesis,
heap(sep(next(x1,nil),emp)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
fof(f12_nnf,plain,
heap(sep(next(x1,nil),emp)),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
heap(sep(next(x1,nil),emp)),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(p69,plain,
( heap(sep(lseg(x1,nil),emp))
| x1 = nil ),
inference(resolution,[status(thm)],[p35,c12]) ).
cnf(f13,negated_conjecture,
~ heap(sep(lseg(x1,nil),emp)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).
fof(f13_nnf,plain,
~ heap(sep(lseg(x1,nil),emp)),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
~ heap(sep(lseg(x1,nil),emp)),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
~ heap(sep(lseg(x1,nil),emp)),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p71,plain,
x1 = nil,
inference(resolution,[status(thm)],[p69,c13]) ).
cnf(f11,hypothesis,
nil != x1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).
fof(f11_nnf,plain,
nil != x1,
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
nil != x1,
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
nil != x1,
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p72,plain,
nil != nil,
inference(demodulation,[status(thm)],[p71,c11]) ).
cnf(p76,plain,
$false,
inference(equality_resolution,[status(thm)],[p72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW399-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/0.35 % Computer : n003.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 22:18:22 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.31/1.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.31/1.12 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------