%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET158-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 08:56:28 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.44s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 13 unt; 0 nHn; 16 RR)
% Number of literals : 25 ( 8 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(complement1,axiom,
( ~ member(Z,X)
| ~ member(Z,complement(X)) ),
file('SET004-0.ax',complement1) ).
cnf(prove_corollary_to_complement_axiom_1,negated_conjecture,
member(y,x),
file('theBenchmark.p',prove_corollary_to_complement_axiom_1) ).
cnf(prove_corollary_to_complement_axiom_2,negated_conjecture,
member(z,complement(x)),
file('theBenchmark.p',prove_corollary_to_complement_axiom_2) ).
cnf(prove_corollary_to_complement_axiom_3,negated_conjecture,
y = z,
file('theBenchmark.p',prove_corollary_to_complement_axiom_3) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_39,axiom,
( member(Eq_y_0,Eq_y_1)
| ~ member(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(t1,plain,
( ~ member(z,x)
| ~ member(z,complement(x)) ),
inference(start,[status(thm),parent(0:0)],[complement1]) ).
cnf(t2,plain,
member(z,complement(x)),
inference(extension,[status(thm),parent(t1:1)],[prove_corollary_to_complement_axiom_2]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( x != x
| ~ member(y,x)
| y != z
| member(z,x) ),
inference(extension,[status(thm),parent(t1:2)],[equality_39]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
cnf(t6,plain,
y = z,
inference(extension,[status(thm),parent(t4:2)],[prove_corollary_to_complement_axiom_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
member(y,x),
inference(extension,[status(thm),parent(t4:3)],[prove_corollary_to_complement_axiom_1]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
x = x,
inference(extension,[status(thm),parent(t4:4)],[equality_1]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET158-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 19 21:50:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.44 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------