%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWW413-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 : Thu Sep 24 09:07:48 AM UTC 2026
% Result : Unsatisfiable 14.88s 15.15s
% Output : Proof 14.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 14 unt; 2 nHn; 19 RR)
% Number of literals : 30 ( 12 equ; 12 neg)
% Maximal clause size : 3 ( 1 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 : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associative_commutative,axiom,
sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
file('SWV013-0.ax',associative_commutative) ).
cnf(unfolding_2,axiom,
( heap(sep(lseg(X,Z),Sigma))
| X = Y
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) ),
file('SWV013-0.ax',unfolding_2) ).
cnf(premise_3,hypothesis,
x3 != x2,
file('theBenchmark.p',premise_3) ).
cnf(premise_7,hypothesis,
heap(sep(lseg(x3,nil),sep(next(x2,x3),emp))),
file('theBenchmark.p',premise_7) ).
cnf(conclusion_1,negated_conjecture,
~ heap(sep(lseg(x2,nil),emp)),
file('theBenchmark.p',conclusion_1) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_7,axiom,
( heap(Eq_y_0)
| ~ heap(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(t1,plain,
~ heap(sep(lseg(x2,nil),emp)),
inference(start,[status(thm),parent(0:0)],[conclusion_1]) ).
cnf(t2,plain,
( x2 = x3
| ~ heap(sep(next(x2,x3),sep(lseg(x3,nil),emp)))
| heap(sep(lseg(x2,nil),emp)) ),
inference(extension,[status(thm),parent(t1:1)],[unfolding_2]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ heap(sep(lseg(x3,nil),sep(next(x2,x3),emp)))
| sep(lseg(x3,nil),sep(next(x2,x3),emp)) != sep(next(x2,x3),sep(lseg(x3,nil),emp))
| heap(sep(next(x2,x3),sep(lseg(x3,nil),emp))) ),
inference(extension,[status(thm),parent(t2:2)],[equality_7]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
sep(lseg(x3,nil),sep(next(x2,x3),emp)) = sep(next(x2,x3),sep(lseg(x3,nil),emp)),
inference(extension,[status(thm),parent(t4:2)],[associative_commutative]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
heap(sep(lseg(x3,nil),sep(next(x2,x3),emp))),
inference(extension,[status(thm),parent(t4:3)],[premise_7]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
( x3 = x2
| x2 != x3 ),
inference(extension,[status(thm),parent(t2:3)],[equality_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:3]) ).
cnf(t12,plain,
x3 != x2,
inference(extension,[status(thm),parent(t10:2)],[premise_3]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW413-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 05:35:34 UTC 2026
% 0.11/0.38 % CPUTime :
% 14.88/15.15 % SZS status Unsatisfiable for theBenchmark
% 14.88/15.15 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------