%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET064-7 : 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 : n001.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 08:56:10 AM UTC 2026
% Result : Unsatisfiable 0.66s 0.94s
% Output : Proof 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 9 unt; 2 nHn; 10 RR)
% Number of literals : 15 ( 4 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(equality1,axiom,
( member(not_subclass_element(Y,X),Y)
| member(not_subclass_element(X,Y),X)
| X = Y ),
file('theBenchmark.p',equality1) ).
cnf(existence_of_null_class,axiom,
~ member(Z,null_class),
file('theBenchmark.p',existence_of_null_class) ).
cnf(prove_null_class_is_unique_1,negated_conjecture,
z != null_class,
file('theBenchmark.p',prove_null_class_is_unique_1) ).
cnf(prove_null_class_is_unique_2,negated_conjecture,
~ member(not_subclass_element(z,null_class),z),
file('theBenchmark.p',prove_null_class_is_unique_2) ).
cnf(t1,plain,
~ member(not_subclass_element(null_class,z),null_class),
inference(start,[status(thm),parent(0:0)],[existence_of_null_class]) ).
cnf(t2,plain,
( member(not_subclass_element(z,null_class),z)
| z = null_class
| member(not_subclass_element(null_class,z),null_class) ),
inference(extension,[status(thm),parent(t1:1)],[equality1]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
z != null_class,
inference(extension,[status(thm),parent(t2:2)],[prove_null_class_is_unique_1]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
~ member(not_subclass_element(z,null_class),z),
inference(extension,[status(thm),parent(t2:3)],[prove_null_class_is_unique_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET064-7 : 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
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 19 21:42:11 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.66/0.94 % SZS status Unsatisfiable for theBenchmark
% 0.66/0.94 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------