%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET018-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 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 : n006.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 08:55:56 AM UTC 2026
% Result : Unsatisfiable 3.56s 14.10s
% Output : Proof 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 11 RR)
% Number of literals : 15 ( 8 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 4 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ordered_pair_determines_components2,axiom,
( X = Z
| ~ member(X,universal_class)
| ordered_pair(W,X) != ordered_pair(Y,Z) ),
file('theBenchmark.p',ordered_pair_determines_components2) ).
cnf(prove_ordered_pair_determines_components2_1,negated_conjecture,
ordered_pair(w,x) = ordered_pair(y,z),
file('theBenchmark.p',prove_ordered_pair_determines_components2_1) ).
cnf(prove_ordered_pair_determines_components2_2,negated_conjecture,
member(x,universal_class),
file('theBenchmark.p',prove_ordered_pair_determines_components2_2) ).
cnf(prove_ordered_pair_determines_components2_3,negated_conjecture,
x != z,
file('theBenchmark.p',prove_ordered_pair_determines_components2_3) ).
cnf(t1,plain,
x != z,
inference(start,[status(thm),parent(0:0)],[prove_ordered_pair_determines_components2_3]) ).
cnf(t2,plain,
( ~ member(x,universal_class)
| ordered_pair(w,x) != ordered_pair(y,z)
| x = z ),
inference(extension,[status(thm),parent(t1:1)],[ordered_pair_determines_components2]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
ordered_pair(w,x) = ordered_pair(y,z),
inference(extension,[status(thm),parent(t2:2)],[prove_ordered_pair_determines_components2_1]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
member(x,universal_class),
inference(extension,[status(thm),parent(t2:3)],[prove_ordered_pair_determines_components2_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET018-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 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
% 0.10/10.59 % Computer : n006.cluster.edu
% 0.10/10.59 % Model : x86_64 x86_64
% 0.10/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.59 % Memory : 8046.5625MB
% 0.10/10.59 % OS : Linux 6.8.0-71-generic
% 0.10/10.59 % CPULimit : 300
% 0.10/10.59 % WCLimit : 300
% 0.10/10.59 % DateTime : Sat Sep 19 21:27:42 UTC 2026
% 0.10/10.59 % CPUTime :
% 3.56/14.10 % SZS status Unsatisfiable for theBenchmark
% 3.56/14.10 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------