%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET066-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.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 52.42s 9.47s
% Output : CNFRefutation 52.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 16
% Syntax : Number of formulae : 115 ( 18 unt; 2 def)
% Number of atoms : 697 ( 151 equ)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 262 ( 68 ~; 194 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 69 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
fof(f107,axiom,
! [X0,X1] :
( member(not_subclass_element(X1,X0),X1)
| member(not_subclass_element(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality1) ).
fof(f109,axiom,
! [X0,X1] :
( member(not_subclass_element(X1,X0),X1)
| X1 = X0
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality3) ).
fof(f110,plain,
! [X0,X1] :
( member(not_subclass_element(X1,X0),X1)
| X0 = X1
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(reorient_equations,[],[f109]) ).
fof(f111,axiom,
! [X0,X1] :
( X0 = X1
| ~ member(not_subclass_element(X1,X0),X0)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality4) ).
fof(f120,negated_conjecture,
unordered_pair(x,y) != unordered_pair(y,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity_of_unordered_pair_1) ).
tcf(c_157,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ subclass(X1,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_160,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i] :
( member(not_subclass_element(X1,X0),X1)
| member(not_subclass_element(X0,X1),X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i] :
( member(not_subclass_element(X1,X0),X1)
| ( X0 = X1 )
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_241,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(not_subclass_element(X1,X0),X0)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_248,negated_conjecture,
unordered_pair(x,y) != unordered_pair(y,x),
inference(cnf_transformation,[],[f120]) ).
tcf(c_2922,definition,
iPr_def_10 = unordered_pair(x,y),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2923,definition,
iPr_def_11 = unordered_pair(y,x),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2924,negated_conjecture,
iPr_def_10 != iPr_def_11,
inference(demodulation,[status(thm)],[c_248,c_2923,c_2922]) ).
tcf(c_2925,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_2927,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3853,plain,
( member(x,iPr_def_10)
| ~ member(x,universal_class) ),
inference(superposition,[status(thm)],[c_2922,c_165]) ).
tcf(c_3854,plain,
( member(y,iPr_def_11)
| ~ member(y,universal_class) ),
inference(superposition,[status(thm)],[c_2923,c_165]) ).
tcf(c_3871,plain,
( member(y,iPr_def_10)
| ~ member(y,universal_class) ),
inference(superposition,[status(thm)],[c_2922,c_166]) ).
tcf(c_3872,plain,
( member(x,iPr_def_11)
| ~ member(x,universal_class) ),
inference(superposition,[status(thm)],[c_2923,c_166]) ).
tcf(c_5164,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_11 )
| ( iPr_def_11 != X0 )
| ( iPr_def_10 != X0 ) ),
inference(instantiation,[status(thm)],[c_2927]) ).
tcf(c_5310,plain,
( ( iPr_def_10 = iPr_def_11 )
| ( iPr_def_11 != iPr_def_10 )
| ( iPr_def_10 != iPr_def_10 ) ),
inference(instantiation,[status(thm)],[c_5164]) ).
tcf(c_5311,plain,
iPr_def_10 = iPr_def_10,
inference(instantiation,[status(thm)],[c_2925]) ).
tcf(c_11713,plain,
( subclass(iPr_def_11,iPr_def_10)
| ~ member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_10) ),
inference(instantiation,[status(thm)],[c_159]) ).
tcf(c_11915,plain,
! [X0: $i] :
( ( iPr_def_11 = X0 )
| ~ subclass(iPr_def_11,X0)
| ~ subclass(X0,iPr_def_11) ),
inference(instantiation,[status(thm)],[c_163]) ).
tcf(c_30476,plain,
( ( iPr_def_11 = iPr_def_10 )
| ~ subclass(iPr_def_11,iPr_def_10)
| ~ subclass(iPr_def_10,iPr_def_11) ),
inference(instantiation,[status(thm)],[c_11915]) ).
tcf(c_46129,plain,
( member(x,iPr_def_10)
| ~ member(x,universal_class) ),
inference(superposition,[status(thm)],[c_2922,c_165]) ).
tcf(c_46266,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_160,c_157]) ).
tcf(c_46294,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_158,c_46266]) ).
tcf(c_46698,plain,
! [X0: $i] :
( ( X0 = y )
| ( X0 = x )
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2922,c_164]) ).
tcf(c_46699,plain,
! [X0: $i] :
( ( X0 = y )
| ( X0 = x )
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2923,c_164]) ).
tcf(c_46727,plain,
! [X0: $i,X1: $i] :
( member(not_subclass_element(X1,X0),universal_class)
| member(not_subclass_element(X0,X1),X0)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_238,c_46266]) ).
tcf(c_46736,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(not_subclass_element(X2,unordered_pair(X0,X1)),X2)
| ( unordered_pair(X0,X1) = X2 )
| ( not_subclass_element(unordered_pair(X0,X1),X2) = X1 )
| ( not_subclass_element(unordered_pair(X0,X1),X2) = X0 ) ),
inference(superposition,[status(thm)],[c_238,c_164]) ).
tcf(c_50437,plain,
! [X0: $i] :
( member(not_subclass_element(X0,iPr_def_10),X0)
| ( unordered_pair(x,y) = X0 )
| ( not_subclass_element(unordered_pair(x,y),X0) = y )
| ( not_subclass_element(unordered_pair(x,y),X0) = x ) ),
inference(superposition,[status(thm)],[c_2922,c_46736]) ).
tcf(c_50438,plain,
! [X0: $i] :
( member(not_subclass_element(X0,iPr_def_11),X0)
| ( unordered_pair(y,x) = X0 )
| ( not_subclass_element(unordered_pair(y,x),X0) = y )
| ( not_subclass_element(unordered_pair(y,x),X0) = x ) ),
inference(superposition,[status(thm)],[c_2923,c_46736]) ).
tcf(c_50466,plain,
! [X0: $i] :
( member(not_subclass_element(X0,iPr_def_11),X0)
| ( X0 = iPr_def_11 )
| ( not_subclass_element(iPr_def_11,X0) = y )
| ( not_subclass_element(iPr_def_11,X0) = x ) ),
inference(light_normalisation,[status(thm)],[c_50438,c_2923]) ).
tcf(c_50471,plain,
! [X0: $i] :
( member(not_subclass_element(X0,iPr_def_10),X0)
| ( X0 = iPr_def_10 )
| ( not_subclass_element(iPr_def_10,X0) = y )
| ( not_subclass_element(iPr_def_10,X0) = x ) ),
inference(light_normalisation,[status(thm)],[c_50437,c_2922]) ).
tcf(c_87591,plain,
( ( iPr_def_10 = iPr_def_11 )
| ( not_subclass_element(iPr_def_11,iPr_def_10) = y )
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = y )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(superposition,[status(thm)],[c_50466,c_46698]) ).
tcf(c_87607,plain,
( ( not_subclass_element(iPr_def_11,iPr_def_10) = y )
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = y )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87591,c_2924]) ).
tcf(c_88929,plain,
( member(not_subclass_element(iPr_def_10,iPr_def_11),iPr_def_10)
| ( iPr_def_10 = iPr_def_11 )
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = y )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x )
| ~ member(y,iPr_def_10) ),
inference(superposition,[status(thm)],[c_87607,c_240]) ).
tcf(c_88937,plain,
( member(y,iPr_def_11)
| ( iPr_def_10 = iPr_def_11 )
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = y )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(superposition,[status(thm)],[c_87607,c_50471]) ).
tcf(c_88948,plain,
( member(y,iPr_def_11)
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = y )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88937,c_2924]) ).
tcf(c_88982,plain,
( member(not_subclass_element(iPr_def_10,iPr_def_11),iPr_def_10)
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = y )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x )
| ~ member(y,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88929,c_2924]) ).
tcf(c_89303,plain,
( member(y,universal_class)
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = y )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(superposition,[status(thm)],[c_88948,c_46266]) ).
tcf(c_89465,plain,
( member(not_subclass_element(iPr_def_10,iPr_def_11),iPr_def_10)
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = y )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(global_subsumption_just,[status(thm)],[c_88982,c_3871,c_88982,c_89303]) ).
tcf(c_89471,plain,
( ( not_subclass_element(iPr_def_11,iPr_def_10) = x )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = y )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89465,c_46698]) ).
tcf(c_89485,plain,
( member(not_subclass_element(iPr_def_10,iPr_def_11),iPr_def_10)
| ( iPr_def_10 = iPr_def_11 )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = y )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x )
| ~ member(x,iPr_def_10) ),
inference(superposition,[status(thm)],[c_89471,c_240]) ).
tcf(c_89493,plain,
( member(x,iPr_def_11)
| ( iPr_def_10 = iPr_def_11 )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = y )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(superposition,[status(thm)],[c_89471,c_50471]) ).
tcf(c_89502,plain,
( member(x,iPr_def_11)
| ( not_subclass_element(iPr_def_10,iPr_def_11) = y )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89493,c_2924]) ).
tcf(c_89530,plain,
( member(not_subclass_element(iPr_def_10,iPr_def_11),iPr_def_10)
| ( not_subclass_element(iPr_def_10,iPr_def_11) = y )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x )
| ~ member(x,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89485,c_2924]) ).
tcf(c_89554,plain,
( member(x,universal_class)
| ( not_subclass_element(iPr_def_10,iPr_def_11) = y )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(superposition,[status(thm)],[c_89502,c_46266]) ).
tcf(c_93724,plain,
( member(not_subclass_element(iPr_def_10,iPr_def_11),iPr_def_10)
| ( not_subclass_element(iPr_def_10,iPr_def_11) = y )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(global_subsumption_just,[status(thm)],[c_89530,c_3853,c_89530,c_89554]) ).
tcf(c_93729,plain,
( ( not_subclass_element(iPr_def_10,iPr_def_11) = y )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93724,c_46698]) ).
tcf(c_93739,plain,
( ( iPr_def_10 = iPr_def_11 )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x )
| ~ member(y,iPr_def_11)
| ~ member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_93729,c_241]) ).
tcf(c_93740,plain,
( member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_11)
| ( iPr_def_10 = iPr_def_11 )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x )
| ~ member(y,iPr_def_11) ),
inference(superposition,[status(thm)],[c_93729,c_240]) ).
tcf(c_93742,plain,
( subclass(iPr_def_10,iPr_def_11)
| member(y,universal_class)
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(superposition,[status(thm)],[c_93729,c_46294]) ).
tcf(c_93743,plain,
( subclass(iPr_def_10,iPr_def_11)
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x )
| ~ member(y,iPr_def_11) ),
inference(superposition,[status(thm)],[c_93729,c_159]) ).
tcf(c_93746,plain,
( member(y,universal_class)
| member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_11)
| ( iPr_def_10 = iPr_def_11 )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(superposition,[status(thm)],[c_93729,c_46727]) ).
tcf(c_93747,plain,
( member(y,iPr_def_10)
| member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_11)
| ( iPr_def_10 = iPr_def_11 )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(superposition,[status(thm)],[c_93729,c_238]) ).
tcf(c_93762,plain,
( member(y,iPr_def_10)
| member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_11)
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93747,c_2924]) ).
tcf(c_93766,plain,
( member(y,universal_class)
| member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_11)
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93746,c_2924]) ).
tcf(c_93774,plain,
( member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_11)
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x )
| ~ member(y,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93740,c_2924]) ).
tcf(c_93778,plain,
( ( not_subclass_element(iPr_def_10,iPr_def_11) = x )
| ~ member(y,iPr_def_11)
| ~ member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93739,c_2924]) ).
tcf(c_93787,plain,
( ( not_subclass_element(iPr_def_10,iPr_def_11) = x )
| member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_11) ),
inference(global_subsumption_just,[status(thm)],[c_93762,c_3854,c_93766,c_93774]) ).
tcf(c_93788,plain,
( member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_11)
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(renaming,[status(thm)],[c_93787]) ).
tcf(c_93801,plain,
( member(not_subclass_element(iPr_def_11,iPr_def_10),universal_class)
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(superposition,[status(thm)],[c_93788,c_46266]) ).
tcf(c_93802,plain,
( ( not_subclass_element(iPr_def_11,iPr_def_10) = y )
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(superposition,[status(thm)],[c_93788,c_46699]) ).
tcf(c_94588,plain,
( ( not_subclass_element(iPr_def_10,iPr_def_11) = x )
| ~ member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_10) ),
inference(global_subsumption_just,[status(thm)],[c_93778,c_2924,c_3854,c_5310,c_5311,c_11713,c_30476,c_93742,c_93743]) ).
tcf(c_106970,plain,
( member(y,iPr_def_11)
| member(not_subclass_element(iPr_def_10,iPr_def_11),iPr_def_10)
| ( iPr_def_10 = iPr_def_11 )
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(superposition,[status(thm)],[c_93802,c_238]) ).
tcf(c_106977,plain,
( member(y,universal_class)
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(superposition,[status(thm)],[c_93802,c_93801]) ).
tcf(c_106978,plain,
( ( not_subclass_element(iPr_def_11,iPr_def_10) = x )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x )
| ~ member(y,iPr_def_10) ),
inference(superposition,[status(thm)],[c_93802,c_94588]) ).
tcf(c_107009,plain,
( member(y,iPr_def_11)
| member(not_subclass_element(iPr_def_10,iPr_def_11),iPr_def_10)
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106970,c_2924]) ).
tcf(c_107781,plain,
( ( not_subclass_element(iPr_def_11,iPr_def_10) = x )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(global_subsumption_just,[status(thm)],[c_107009,c_3871,c_106977,c_106978]) ).
tcf(c_107798,plain,
( member(x,iPr_def_11)
| member(not_subclass_element(iPr_def_10,iPr_def_11),iPr_def_10)
| ( iPr_def_10 = iPr_def_11 )
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(superposition,[status(thm)],[c_107781,c_238]) ).
tcf(c_107805,plain,
( member(x,universal_class)
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(superposition,[status(thm)],[c_107781,c_93801]) ).
tcf(c_107806,plain,
( ( not_subclass_element(iPr_def_10,iPr_def_11) = x )
| ~ member(x,iPr_def_10) ),
inference(superposition,[status(thm)],[c_107781,c_94588]) ).
tcf(c_107828,plain,
( member(x,iPr_def_11)
| member(not_subclass_element(iPr_def_10,iPr_def_11),iPr_def_10)
| ( not_subclass_element(iPr_def_10,iPr_def_11) = x ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107798,c_2924]) ).
tcf(c_107841,plain,
not_subclass_element(iPr_def_10,iPr_def_11) = x,
inference(global_subsumption_just,[status(thm)],[c_107828,c_3853,c_107805,c_107806]) ).
tcf(c_107850,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ member(x,iPr_def_11)
| ~ member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_107841,c_241]) ).
tcf(c_107851,plain,
( member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_11)
| ( iPr_def_10 = iPr_def_11 )
| ~ member(x,iPr_def_11) ),
inference(superposition,[status(thm)],[c_107841,c_240]) ).
tcf(c_107853,plain,
( subclass(iPr_def_10,iPr_def_11)
| member(x,universal_class) ),
inference(superposition,[status(thm)],[c_107841,c_46294]) ).
tcf(c_107857,plain,
( member(x,universal_class)
| member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_11)
| ( iPr_def_10 = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_107841,c_46727]) ).
tcf(c_107858,plain,
( member(x,iPr_def_10)
| member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_11)
| ( iPr_def_10 = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_107841,c_238]) ).
tcf(c_107869,plain,
( member(x,iPr_def_10)
| member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107858,c_2924]) ).
tcf(c_107872,plain,
( member(x,universal_class)
| member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107857,c_2924]) ).
tcf(c_107878,plain,
( member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_11)
| ~ member(x,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107851,c_2924]) ).
tcf(c_107881,plain,
( ~ member(x,iPr_def_11)
| ~ member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107850,c_2924]) ).
tcf(c_107888,plain,
member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_107869,c_3872,c_107872,c_107878]) ).
tcf(c_107898,plain,
member(not_subclass_element(iPr_def_11,iPr_def_10),universal_class),
inference(superposition,[status(thm)],[c_107888,c_46266]) ).
tcf(c_107899,plain,
( ( not_subclass_element(iPr_def_11,iPr_def_10) = y )
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x ) ),
inference(superposition,[status(thm)],[c_107888,c_46699]) ).
tcf(c_107913,plain,
~ member(not_subclass_element(iPr_def_11,iPr_def_10),iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_107881,c_2924,c_3872,c_5310,c_5311,c_11713,c_30476,c_107853,c_107881]) ).
tcf(c_118083,plain,
( member(y,iPr_def_11)
| member(not_subclass_element(iPr_def_10,iPr_def_11),iPr_def_10)
| ( iPr_def_10 = iPr_def_11 )
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x ) ),
inference(superposition,[status(thm)],[c_107899,c_238]) ).
tcf(c_118090,plain,
( member(y,universal_class)
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x ) ),
inference(superposition,[status(thm)],[c_107899,c_107898]) ).
tcf(c_118091,plain,
( ( not_subclass_element(iPr_def_11,iPr_def_10) = x )
| ~ member(y,iPr_def_10) ),
inference(superposition,[status(thm)],[c_107899,c_107913]) ).
tcf(c_118113,plain,
( member(y,iPr_def_11)
| member(x,iPr_def_10)
| ( iPr_def_10 = iPr_def_11 )
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x ) ),
inference(light_normalisation,[status(thm)],[c_118083,c_107841]) ).
tcf(c_118114,plain,
( member(y,iPr_def_11)
| member(x,iPr_def_10)
| ( not_subclass_element(iPr_def_11,iPr_def_10) = x ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118113,c_2924]) ).
tcf(c_118148,plain,
not_subclass_element(iPr_def_11,iPr_def_10) = x,
inference(global_subsumption_just,[status(thm)],[c_118114,c_3871,c_118090,c_118091]) ).
tcf(c_118157,plain,
member(x,universal_class),
inference(demodulation,[status(thm)],[c_107898,c_118148]) ).
tcf(c_118158,plain,
~ member(x,iPr_def_10),
inference(demodulation,[status(thm)],[c_107913,c_118148]) ).
tcf(c_118166,plain,
member(x,iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_46129,c_118157]) ).
tcf(c_118169,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_118166,c_118158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET066-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Thu Sep 24 09:35:04 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.46 % Proving...
% 52.42/9.47 % SZS status Started for theBenchmark.p
% 52.42/9.47 % SZS status Unsatisfiable for theBenchmark.p
% 52.42/9.47
% 52.42/9.47 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 52.42/9.47
% 52.42/9.47 % ------ iProver source info
% 52.42/9.47
% 52.42/9.47 % git: date: 2026-07-19 20:42:38 +0200
% 52.42/9.47 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 52.42/9.47 % git: non_committed_changes: false
% 52.42/9.47
% 52.42/9.47 % ------ Parsing...% successful
% 52.42/9.47
% 52.42/9.47
% 52.42/9.47 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 52.42/9.47
% 52.42/9.47 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 52.42/9.47
% 52.42/9.47 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 52.42/9.47
% 52.42/9.47 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 52.42/9.47 % ------ Proving...
% 52.42/9.47 % ------ Problem Properties
% 52.42/9.47
% 52.42/9.47 %
% 52.42/9.47 % clauses 84
% 52.42/9.47 % conjectures 1
% 52.42/9.47 % EPR 18
% 52.42/9.47 % Horn 73
% 52.42/9.47 % unary 22
% 52.42/9.47 % binary 38
% 52.42/9.47 % lits 176
% 52.42/9.47 % lits eq 28
% 52.42/9.47 % fd_pure 0
% 52.42/9.47 % fd_pseudo 0
% 52.42/9.47 % fd_cond 5
% 52.42/9.47 % fd_pseudo_cond 6
% 52.42/9.47 % AC symbols 0
% 52.42/9.47
% 52.42/9.47 % ------ Schedule dynamic 5 is on
% 52.42/9.47
% 52.42/9.47 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 52.42/9.47
% 52.42/9.47
% 52.42/9.47 % ------
% 52.42/9.47 % Current options:
% 52.42/9.47 % ------
% 52.42/9.47
% 52.42/9.47
% 52.42/9.47 %
% 52.42/9.47
% 52.42/9.47 % ------ Proving...
% 52.42/9.47 %
% 52.42/9.47
% 52.42/9.47 % SZS status Unsatisfiable for theBenchmark.p
% 52.42/9.47
% 52.42/9.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 52.42/9.48
% 52.42/9.48
%------------------------------------------------------------------------------