%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWW400-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : 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 03:27:02 PM UTC 2026
% Result : Unsatisfiable 4.64s 1.11s
% Output : Proof 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 18 unt; 0 def)
% Number of atoms : 45 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 39 ( 0 sgn 18 !; 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(f13,hypothesis,
heap(sep(next(x2,nil),sep(lseg(x1,x2),emp))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).
fof(f13_nnf,plain,
heap(sep(next(x2,nil),sep(lseg(x1,x2),emp))),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
heap(sep(next(x2,nil),sep(lseg(x1,x2),emp))),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(p74,plain,
( heap(sep(lseg(x1,x2),sep(lseg(x2,nil),emp)))
| x2 = nil ),
inference(resolution,[status(thm)],[p35,c13]) ).
cnf(f8,axiom,
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) ),
file('/export/starexec/sandbox/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(p75,plain,
( heap(sep(lseg(x1,nil),emp))
| x2 = nil ),
inference(resolution,[status(thm)],[p74,c8]) ).
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(p76,plain,
x2 = nil,
inference(resolution,[status(thm)],[p75,c14]) ).
cnf(f12,hypothesis,
nil != x2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
fof(f12_nnf,plain,
nil != x2,
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
nil != x2,
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
nil != x2,
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p77,plain,
nil != nil,
inference(demodulation,[status(thm)],[p76,c12]) ).
cnf(p82,plain,
$false,
inference(equality_resolution,[status(thm)],[p77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW400-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 22:12:02 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.64/1.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.64/1.11 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------