%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWW399-1 : 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 : 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 : Thu Sep 24 09:07:47 AM UTC 2026
% Result : Unsatisfiable 183.19s 193.54s
% Output : Proof 184.38s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(associative_commutative,axiom,
sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
file('SWV013-0.ax',associative_commutative) ).
cnf(normalization,axiom,
sep(lseg(X,X),Sigma) = Sigma,
file('SWV013-0.ax',normalization) ).
cnf(wellformedness_1,axiom,
~ heap(sep(next(nil,Y),Sigma)),
file('SWV013-0.ax',wellformedness_1) ).
cnf(wellformedness_2,axiom,
( Y = nil
| ~ heap(sep(lseg(nil,Y),Sigma)) ),
file('SWV013-0.ax',wellformedness_2) ).
cnf(wellformedness_3,axiom,
~ heap(sep(next(X,Y),sep(next(X,Z),Sigma))),
file('SWV013-0.ax',wellformedness_3) ).
cnf(wellformedness_4,axiom,
( X = Z
| ~ heap(sep(next(X,Y),sep(lseg(X,Z),Sigma))) ),
file('SWV013-0.ax',wellformedness_4) ).
cnf(wellformedness_5,axiom,
( X = Z
| X = Y
| ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ),
file('SWV013-0.ax',wellformedness_5) ).
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(unfolding_3,axiom,
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) ),
file('SWV013-0.ax',unfolding_3) ).
cnf(unfolding_4,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('SWV013-0.ax',unfolding_4) ).
cnf(unfolding_5,axiom,
( heap(sep(lseg(X,Z),sep(lseg(Z,W),Sigma)))
| Z = W
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,Z),sep(lseg(Z,W),Sigma)))) ),
file('SWV013-0.ax',unfolding_5) ).
cnf(premise_1,hypothesis,
nil != x1,
file('theBenchmark.p',premise_1) ).
cnf(premise_2,hypothesis,
heap(sep(next(x1,nil),emp)),
file('theBenchmark.p',premise_2) ).
cnf(conclusion_1,negated_conjecture,
~ heap(sep(lseg(x1,nil),emp)),
file('theBenchmark.p',conclusion_1) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( sep(Eq_x_0,Eq_x_1) = sep(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( lseg(Eq_x_0,Eq_x_1) = lseg(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( next(Eq_x_0,Eq_x_1) = next(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( heap(Eq_y_0)
| ~ heap(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW399-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.39 % Computer : n003.cluster.edu
% 0.09/10.39 % Model : x86_64 x86_64
% 0.09/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.39 % Memory : 8046.5625MB
% 0.09/10.39 % OS : Linux 6.8.0-71-generic
% 0.09/10.39 % CPULimit : 300
% 0.09/10.39 % WCLimit : 300
% 0.09/10.39 % DateTime : Sun Sep 20 05:31:55 UTC 2026
% 0.09/10.39 % CPUTime :
% 183.19/193.54 % SZS status Unsatisfiable for theBenchmark
% 183.19/193.54 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------