%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET081-7 : 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 : 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 08:56:15 AM UTC 2026
% Result : Unsatisfiable 25.67s 25.94s
% Output : Proof 25.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 11 unt; 2 nHn; 14 RR)
% Number of literals : 23 ( 6 equ; 8 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
file('SET004-0.ax',subclass_members) ).
cnf(unordered_pair_member,axiom,
( U = Y
| U = X
| ~ member(U,unordered_pair(X,Y)) ),
file('SET004-0.ax',unordered_pair_member) ).
cnf(singleton_in_unordered_pair2,axiom,
subclass(singleton(Y),unordered_pair(X,Y)),
file('theBenchmark.p',singleton_in_unordered_pair2) ).
cnf(prove_only_member_in_singleton_1,negated_conjecture,
member(y,singleton(x)),
file('theBenchmark.p',prove_only_member_in_singleton_1) ).
cnf(prove_only_member_in_singleton_2,negated_conjecture,
y != x,
file('theBenchmark.p',prove_only_member_in_singleton_2) ).
cnf(t1,plain,
y != x,
inference(start,[status(thm),parent(0:0)],[prove_only_member_in_singleton_2]) ).
cnf(t2,plain,
( y = x
| ~ member(y,unordered_pair(x,x))
| y = x ),
inference(extension,[status(thm),parent(t1:1)],[unordered_pair_member]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ member(y,singleton(x))
| ~ subclass(singleton(x),unordered_pair(x,x))
| member(y,unordered_pair(x,x)) ),
inference(extension,[status(thm),parent(t2:2)],[subclass_members]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
subclass(singleton(x),unordered_pair(x,x)),
inference(extension,[status(thm),parent(t4:2)],[singleton_in_unordered_pair2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
member(y,singleton(x)),
inference(extension,[status(thm),parent(t4:3)],[prove_only_member_in_singleton_1]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
$false,
inference(reduction,[status(thm),parent(t2:3)],[t2:3,t1:1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET081-7 : 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
% 0.08/0.34 % Computer : n003.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 19 21:39:43 UTC 2026
% 0.08/0.34 % CPUTime :
% 25.67/25.94 % SZS status Unsatisfiable for theBenchmark
% 25.67/25.94 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------