%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET059-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 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 : n005.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 08:56:07 AM UTC 2026
% Result : Unsatisfiable 4.64s 4.97s
% Output : Proof 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 11 unt; 0 nHn; 16 RR)
% Number of literals : 23 ( 4 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_subclass_members2,axiom,
( subclass(X,Y)
| ~ member(not_subclass_element(X,Y),Y) ),
file('SET004-0.ax',not_subclass_members2) ).
cnf(subclass_implies_equal,axiom,
( X = Y
| ~ subclass(Y,X)
| ~ subclass(X,Y) ),
file('SET004-0.ax',subclass_implies_equal) ).
cnf(prove_equality4_1,negated_conjecture,
member(not_subclass_element(x,y),y),
file('theBenchmark.p',prove_equality4_1) ).
cnf(prove_equality4_2,negated_conjecture,
member(not_subclass_element(y,x),x),
file('theBenchmark.p',prove_equality4_2) ).
cnf(prove_equality4_3,negated_conjecture,
x != y,
file('theBenchmark.p',prove_equality4_3) ).
cnf(t1,plain,
x != y,
inference(start,[status(thm),parent(0:0)],[prove_equality4_3]) ).
cnf(t2,plain,
( ~ subclass(y,x)
| ~ subclass(x,y)
| x = y ),
inference(extension,[status(thm),parent(t1:1)],[subclass_implies_equal]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ member(not_subclass_element(x,y),y)
| subclass(x,y) ),
inference(extension,[status(thm),parent(t2:2)],[not_subclass_members2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
member(not_subclass_element(x,y),y),
inference(extension,[status(thm),parent(t4:2)],[prove_equality4_1]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ member(not_subclass_element(y,x),x)
| subclass(y,x) ),
inference(extension,[status(thm),parent(t2:3)],[not_subclass_members2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
member(not_subclass_element(y,x),x),
inference(extension,[status(thm),parent(t8:2)],[prove_equality4_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET059-7 : 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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 19 21:35:34 UTC 2026
% 0.10/0.38 % CPUTime :
% 4.64/4.97 % SZS status Unsatisfiable for theBenchmark
% 4.64/4.97 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------