%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET066-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n015.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 : Fri Sep 25 02:46:21 PM UTC 2026
% Result : Unsatisfiable 180.96s 33.95s
% Output : CNFRefutation 180.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 85 ( 17 unt; 0 def)
% Number of atoms : 220 ( 114 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 263 ( 128 ~; 135 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn 90 !; 0 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f6,axiom,
! [X0,X1] :
( subclass(X1,X0)
| X0 != X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( X0 = X2
| X0 = X1
| ~ member(X0,unordered_pair(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
fof(f101,negated_conjecture,
unordered_pair(x,y) != unordered_pair(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity_of_unordered_pair_1) ).
fof(f151,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f6]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_144,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_146,plain,
! [X0: $i] : subclass(X0,X0),
inference(cnf_transformation,[],[f151]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_216,negated_conjecture,
unordered_pair(x,y) != unordered_pair(y,x),
inference(cnf_transformation,[],[f101]) ).
tcf(c_217,plain,
subclass(universal_class,universal_class),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_243,plain,
( ( universal_class = universal_class )
| ~ subclass(universal_class,universal_class) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_303,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_305,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( unordered_pair(X0,X2) = unordered_pair(X1,X3) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X2)
| ~ member(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_342,plain,
( ( unordered_pair(x,y) = unordered_pair(y,x) )
| ~ subclass(unordered_pair(y,x),unordered_pair(x,y))
| ~ subclass(unordered_pair(x,y),unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_472,plain,
( subclass(unordered_pair(y,x),unordered_pair(x,y))
| member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_831,plain,
! [X0: $i,X1: $i] : unordered_pair(X0,X1) = unordered_pair(X0,X1),
inference(instantiation,[status(thm)],[c_303]) ).
tcf(c_1181,plain,
( subclass(unordered_pair(x,y),unordered_pair(y,x))
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_1285,plain,
! [X0: $i,X1: $i] :
( ( y = X0 )
| ( y != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_305]) ).
tcf(c_1291,plain,
y = y,
inference(instantiation,[status(thm)],[c_303]) ).
tcf(c_3569,plain,
subclass(unordered_pair(y,x),universal_class),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_3931,plain,
! [X0: $i,X1: $i] : subclass(unordered_pair(X0,X1),universal_class),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_5038,plain,
! [X0: $i] :
( ( y = X0 )
| ( y != y )
| ( X0 != y ) ),
inference(instantiation,[status(thm)],[c_1285]) ).
tcf(c_5070,plain,
! [X0: $i] :
( member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),X0)
| ~ subclass(unordered_pair(y,x),X0)
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_5071,plain,
( member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),universal_class)
| ~ subclass(unordered_pair(y,x),universal_class)
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_5070]) ).
tcf(c_8577,plain,
! [X0: $i] :
( member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),X0)
| ~ subclass(unordered_pair(x,y),X0)
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_8578,plain,
( member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),universal_class)
| ~ subclass(unordered_pair(x,y),universal_class)
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_8577]) ).
tcf(c_8601,plain,
unordered_pair(x,y) = unordered_pair(x,y),
inference(instantiation,[status(thm)],[c_831]) ).
tcf(c_11086,plain,
( subclass(unordered_pair(y,x),unordered_pair(x,y))
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_11131,plain,
subclass(unordered_pair(x,y),universal_class),
inference(instantiation,[status(thm)],[c_3931]) ).
tcf(c_11311,plain,
x = x,
inference(instantiation,[status(thm)],[c_303]) ).
tcf(c_11356,plain,
! [X0: $i,X1: $i] :
( ( X1 = not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) )
| ( X1 != X0 )
| ( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != X0 ) ),
inference(instantiation,[status(thm)],[c_305]) ).
tcf(c_20016,plain,
( ( y = not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) )
| ( y != y )
| ( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != y ) ),
inference(instantiation,[status(thm)],[c_5038]) ).
tcf(c_23115,plain,
! [X0: $i,X1: $i] :
( member(y,universal_class)
| ~ member(X0,X1)
| ( universal_class != X1 )
| ( y != X0 ) ),
inference(instantiation,[status(thm)],[c_308]) ).
tcf(c_35091,plain,
! [X0: $i] :
( ( x = not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) )
| ( x != X0 )
| ( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != X0 ) ),
inference(instantiation,[status(thm)],[c_11356]) ).
tcf(c_35107,plain,
! [X0: $i] :
( member(y,universal_class)
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),X0)
| ( universal_class != X0 )
| ( y != not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) ) ),
inference(instantiation,[status(thm)],[c_23115]) ).
tcf(c_35118,plain,
( member(y,universal_class)
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),universal_class)
| ( universal_class != universal_class )
| ( y != not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) ) ),
inference(instantiation,[status(thm)],[c_35107]) ).
tcf(c_37793,plain,
( ( x = not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) )
| ( x != x )
| ( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != x ) ),
inference(instantiation,[status(thm)],[c_35091]) ).
tcf(c_51066,plain,
( subclass(unordered_pair(x,y),unordered_pair(y,x))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_51075,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair(y,x) = unordered_pair(X1,X0) )
| ( y != X1 )
| ( x != X0 ) ),
inference(instantiation,[status(thm)],[c_306]) ).
tcf(c_52330,plain,
( ( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) = y )
| ( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) = x )
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_52351,plain,
! [X0: $i,X1: $i] :
( ( y = X0 )
| ( y != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_305]) ).
tcf(c_55367,plain,
! [X0: $i,X1: $i] :
( member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x))
| ~ member(X0,X1)
| ( unordered_pair(y,x) != X1 )
| ( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != X0 ) ),
inference(instantiation,[status(thm)],[c_308]) ).
tcf(c_56158,plain,
! [X0: $i] :
( ( unordered_pair(y,x) = unordered_pair(y,X0) )
| ( y != y )
| ( x != X0 ) ),
inference(instantiation,[status(thm)],[c_51075]) ).
tcf(c_56439,plain,
! [X0: $i,X1: $i] :
( ( X1 = not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) )
| ( X1 != X0 )
| ( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != X0 ) ),
inference(instantiation,[status(thm)],[c_305]) ).
tcf(c_56443,plain,
not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) = not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),
inference(instantiation,[status(thm)],[c_303]) ).
tcf(c_56459,plain,
! [X0: $i] :
( ( y = X0 )
| ( y != y )
| ( X0 != y ) ),
inference(instantiation,[status(thm)],[c_52351]) ).
tcf(c_60532,plain,
! [X0: $i] :
( member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),X0)
| ( unordered_pair(y,x) != X0 )
| ( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) ) ),
inference(instantiation,[status(thm)],[c_55367]) ).
tcf(c_62103,plain,
! [X0: $i] :
( ( X0 = not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) )
| ( X0 != x )
| ( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != x ) ),
inference(instantiation,[status(thm)],[c_56439]) ).
tcf(c_65507,plain,
( ( x = not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) )
| ( x != x )
| ( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != x ) ),
inference(instantiation,[status(thm)],[c_62103]) ).
tcf(c_66842,plain,
( ( unordered_pair(y,x) = unordered_pair(y,not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))) )
| ( y != y )
| ( x != not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) ) ),
inference(instantiation,[status(thm)],[c_56158]) ).
tcf(c_66972,plain,
! [X0: $i] :
( ( unordered_pair(y,x) = unordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),X0) )
| ( y != not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) )
| ( x != X0 ) ),
inference(instantiation,[status(thm)],[c_51075]) ).
tcf(c_67112,plain,
( ( y = not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) )
| ( y != y )
| ( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != y ) ),
inference(instantiation,[status(thm)],[c_56459]) ).
tcf(c_69617,plain,
! [X0: $i] :
( member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,X0))
| ( unordered_pair(y,x) != unordered_pair(y,X0) )
| ( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) ) ),
inference(instantiation,[status(thm)],[c_60532]) ).
tcf(c_72680,plain,
( member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))))
| ( unordered_pair(y,x) != unordered_pair(y,not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))) )
| ( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) ) ),
inference(instantiation,[status(thm)],[c_69617]) ).
tcf(c_72681,plain,
( member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),universal_class) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_73410,plain,
( ( unordered_pair(y,x) = unordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x) )
| ( y != not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) )
| ( x != x ) ),
inference(instantiation,[status(thm)],[c_66972]) ).
tcf(c_77000,plain,
! [X0: $i] :
( member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(X0,x))
| ( unordered_pair(y,x) != unordered_pair(X0,x) )
| ( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) ) ),
inference(instantiation,[status(thm)],[c_60532]) ).
tcf(c_85357,plain,
( member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x))
| ( unordered_pair(y,x) != unordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x) )
| ( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) ) ),
inference(instantiation,[status(thm)],[c_77000]) ).
tcf(c_85358,plain,
( member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),universal_class) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_184506,plain,
! [X0: $i,X1: $i] :
( member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(x,y))
| ~ member(X0,X1)
| ( unordered_pair(x,y) != X1 )
| ( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != X0 ) ),
inference(instantiation,[status(thm)],[c_308]) ).
tcf(c_187581,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),X2)
| ( X1 != X2 )
| ( X0 != not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) ) ),
inference(instantiation,[status(thm)],[c_308]) ).
tcf(c_187702,plain,
! [X0: $i,X1: $i] :
( ( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) = X1 )
| ( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) = X0 )
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(X0,X1)) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_205771,plain,
( ( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) = y )
| ( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) = x )
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_187702]) ).
tcf(c_215283,plain,
! [X0: $i] :
( member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(x,y))
| ~ member(X0,unordered_pair(x,y))
| ( unordered_pair(x,y) != unordered_pair(x,y) )
| ( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != X0 ) ),
inference(instantiation,[status(thm)],[c_184506]) ).
tcf(c_215472,plain,
( member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(x,y))
| ~ member(x,unordered_pair(x,y))
| ( unordered_pair(x,y) != unordered_pair(x,y) )
| ( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != x ) ),
inference(instantiation,[status(thm)],[c_215283]) ).
tcf(c_215473,plain,
( member(x,unordered_pair(x,y))
| ~ member(x,universal_class) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_215474,plain,
( member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(x,y))
| ~ member(y,unordered_pair(x,y))
| ( unordered_pair(x,y) != unordered_pair(x,y) )
| ( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != y ) ),
inference(instantiation,[status(thm)],[c_215283]) ).
tcf(c_215475,plain,
( member(y,unordered_pair(x,y))
| ~ member(y,universal_class) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_236684,plain,
! [X0: $i,X1: $i] :
( member(x,X0)
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),X1)
| ( x != not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_187581]) ).
tcf(c_236685,plain,
( member(x,universal_class)
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),universal_class)
| ( universal_class != universal_class )
| ( x != not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) ) ),
inference(instantiation,[status(thm)],[c_236684]) ).
tcf(c_236842,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_236685,c_215475,c_215474,c_215473,c_215472,c_205771,c_85358,c_85357,c_73410,c_72681,c_72680,c_67112,c_66842,c_65507,c_56443,c_52330,c_51066,c_37793,c_35118,c_20016,c_11311,c_11131,c_11086,c_8601,c_8578,c_5071,c_3569,c_1291,c_1181,c_472,c_342,c_243,c_216,c_217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET066-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/5.37 % Computer : n015.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Thu Sep 24 09:35:34 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.41 Running first-order theorem proving
% 0.12/5.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.42
% 0.12/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/5.42
% 0.12/5.42 % Detected problem language: tptp
% 0.12/5.43 % Proving...
% 180.96/33.95 % SZS status Started for theBenchmark.p
% 180.96/33.95 % SZS status Unsatisfiable for theBenchmark.p
% 180.96/33.95
% 180.96/33.95 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 180.96/33.95
% 180.96/33.95 % ------ iProver source info
% 180.96/33.95
% 180.96/33.95 % git: date: 2026-07-19 20:42:38 +0200
% 180.96/33.95 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 180.96/33.95 % git: non_committed_changes: false
% 180.96/33.95
% 180.96/33.95 % ------ Parsing...% successful
% 180.96/33.95
% 180.96/33.95
% 180.96/33.95 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 180.96/33.95
% 180.96/33.95 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 180.96/33.95
% 180.96/33.95 % ------ Preprocessing...%
% 180.96/33.95
% 180.96/33.95 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 180.96/33.95 % ------ Proving...
% 180.96/33.95 % ------ Problem Properties
% 180.96/33.95
% 180.96/33.95 %
% 180.96/33.95 % clauses 75
% 180.96/33.95 % conjectures 1
% 180.96/33.95 % EPR 15
% 180.96/33.95 % Horn 67
% 180.96/33.95 % unary 15
% 180.96/33.95 % binary 39
% 180.96/33.95 % lits 162
% 180.96/33.95 % lits eq 21
% 180.96/33.95 % fd_pure 0
% 180.96/33.95 % fd_pseudo 0
% 180.96/33.95 % fd_cond 3
% 180.96/33.95 % fd_pseudo_cond 3
% 180.96/33.95 % AC symbols 0
% 180.96/33.95
% 180.96/33.95 % ------ Input Options Time Limit: Unbounded
% 180.96/33.95
% 180.96/33.95
% 180.96/33.95 % ------
% 180.96/33.95 % Current options:
% 180.96/33.95 % ------
% 180.96/33.95
% 180.96/33.95
% 180.96/33.95 %
% 180.96/33.95
% 180.96/33.95 % ------ Proving...
% 180.96/33.95 %
% 180.96/33.95
% 180.96/33.95 % SZS status Unsatisfiable for theBenchmark.p
% 180.96/33.95
% 180.96/33.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 180.96/33.96
% 180.96/33.96
%------------------------------------------------------------------------------