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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET070-7 : 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 : 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 02:46:23 PM UTC 2026

% Result   : Unsatisfiable 40.38s 6.61s
% Output   : CNFRefutation 40.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  103 (  28 unt;   2 def)
%            Number of atoms       :  333 (  80 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  196 (  89   ~; 107   |;   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  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :  123 (   0 sgn 123   !;   0   ?;  87   :)

% 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(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(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( member(X0,X1)
      | ~ member(X0,intersection(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).

fof(f22,axiom,
    ! [X2,X0,X1] :
      ( member(X0,X2)
      | ~ member(X0,intersection(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( member(X0,intersection(X1,X2))
      | ~ member(X0,X2)
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).

fof(f24,axiom,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | ~ member(X0,complement(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( member(X0,X1)
      | member(X0,complement(X1))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).

fof(f67,axiom,
    ! [X0] :
      ( member(regular(X0),X0)
      | X0 = null_class ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).

fof(f68,plain,
    ! [X0] :
      ( member(regular(X0),X0)
      | null_class = X0 ),
    inference(reorient_equations,[],[f67]) ).

fof(f113,axiom,
    ! [X0] : ~ member(X0,null_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_null_class) ).

fof(f117,axiom,
    ! [X0] :
      ( member(not_subclass_element(X0,null_class),X0)
      | X0 = null_class ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_unique) ).

fof(f118,plain,
    ! [X0] :
      ( member(not_subclass_element(X0,null_class),X0)
      | null_class = X0 ),
    inference(reorient_equations,[],[f117]) ).

fof(f120,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).

fof(f121,negated_conjecture,
    ~ member(x,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unordered_pair_equals_singleton2_1) ).

fof(f122,negated_conjecture,
    unordered_pair(x,y) != singleton(y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unordered_pair_equals_singleton2_2) ).

fof(f175,plain,
    unordered_pair(x,y) != unordered_pair(y,y),
    inference(definition_unfolding,[],[f122,f12]) ).

tcf(c_159,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X2)
      | ~ subclass(X1,X2)
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_160,plain,
    ! [X0: $i,X1: $i] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_161,plain,
    ! [X0: $i,X1: $i] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_162,plain,
    ! [X0: $i] : subclass(X0,universal_class),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_165,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ subclass(X1,X0)
      | ~ subclass(X0,X1) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_166,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X2 )
      | ( X0 = X1 )
      | ~ member(X0,unordered_pair(X1,X2)) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_167,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_177,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X1)
      | ~ member(X0,intersection(X1,X2)) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_178,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X2)
      | ~ member(X0,intersection(X1,X2)) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_179,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,intersection(X1,X2))
      | ~ member(X0,X2)
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_180,plain,
    ! [X0: $i,X1: $i] :
      ( ~ member(X0,X1)
      | ~ member(X0,complement(X1)) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_181,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,X1)
      | member(X0,complement(X1))
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_211,plain,
    ! [X0: $i] :
      ( member(regular(X0),X0)
      | ( X0 = null_class ) ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_245,plain,
    ! [X0: $i] : ~ member(X0,null_class),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_248,plain,
    ! [X0: $i] :
      ( member(not_subclass_element(X0,null_class),X0)
      | ( X0 = null_class ) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_250,plain,
    ! [X0: $i,X1: $i] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_251,negated_conjecture,
    ~ member(x,universal_class),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_252,negated_conjecture,
    unordered_pair(x,y) != unordered_pair(y,y),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_1063,plain,
    unordered_pair(y,x) != unordered_pair(y,y),
    inference(demodulation,[status(thm)],[c_252,c_250]) ).

tcf(c_2938,definition,
    iPr_def_10 = unordered_pair(y,x),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_2939,definition,
    iPr_def_11 = unordered_pair(y,y),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_2940,plain,
    iPr_def_10 != iPr_def_11,
    inference(demodulation,[status(thm)],[c_1063,c_2939,c_2938]) ).

tcf(c_2941,negated_conjecture,
    ~ member(x,universal_class),
    inference(demodulation,[status(thm)],[c_251]) ).

tcf(c_2942,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_2944,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_2946,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( member(X0,X2)
      | ~ member(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_3908,plain,
    ! [X0: $i,X1: $i] :
      ( member(regular(intersection(X0,X1)),X0)
      | ( intersection(X0,X1) = null_class ) ),
    inference(superposition,[status(thm)],[c_211,c_177]) ).

tcf(c_3929,plain,
    ! [X0: $i,X1: $i] :
      ( member(regular(intersection(X0,X1)),X1)
      | ( intersection(X0,X1) = null_class ) ),
    inference(superposition,[status(thm)],[c_211,c_178]) ).

tcf(c_3994,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,universal_class)
      | ~ member(X0,X1) ),
    inference(superposition,[status(thm)],[c_162,c_159]) ).

tcf(c_4053,plain,
    ! [X0: $i] :
      ( member(not_subclass_element(X0,null_class),universal_class)
      | ( X0 = null_class ) ),
    inference(superposition,[status(thm)],[c_248,c_3994]) ).

tcf(c_4059,plain,
    ! [X0: $i] :
      ( member(regular(X0),universal_class)
      | ( X0 = null_class ) ),
    inference(superposition,[status(thm)],[c_211,c_3994]) ).

tcf(c_4535,plain,
    ! [X0: $i] :
      ( ( X0 = y )
      | ~ member(X0,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_2939,c_166]) ).

tcf(c_4536,plain,
    ! [X0: $i] :
      ( ( X0 = y )
      | ( X0 = x )
      | ~ member(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_2938,c_166]) ).

tcf(c_4664,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_11,X0) = null_class )
      | ( regular(intersection(iPr_def_11,X0)) = y ) ),
    inference(superposition,[status(thm)],[c_3908,c_4535]) ).

tcf(c_4832,plain,
    ! [X0: $i] :
      ( member(y,universal_class)
      | ( intersection(iPr_def_11,X0) = null_class ) ),
    inference(superposition,[status(thm)],[c_4664,c_4059]) ).

tcf(c_4833,plain,
    ! [X0: $i] :
      ( member(y,intersection(iPr_def_11,X0))
      | ( intersection(iPr_def_11,X0) = null_class ) ),
    inference(superposition,[status(thm)],[c_4664,c_211]) ).

tcf(c_5029,plain,
    ! [X0: $i] :
      ( member(y,X0)
      | ( intersection(iPr_def_11,X0) = null_class ) ),
    inference(superposition,[status(thm)],[c_4833,c_178]) ).

tcf(c_5045,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_11,complement(X0)) = null_class )
      | ~ member(y,X0) ),
    inference(superposition,[status(thm)],[c_5029,c_180]) ).

tcf(c_5310,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_11 )
      | ( iPr_def_11 != X0 )
      | ( iPr_def_10 != X0 ) ),
    inference(instantiation,[status(thm)],[c_2944]) ).

tcf(c_5313,plain,
    ( subclass(iPr_def_10,iPr_def_11)
    | member(not_subclass_element(iPr_def_10,iPr_def_11),iPr_def_10) ),
    inference(instantiation,[status(thm)],[c_160]) ).

tcf(c_5340,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,X1)
      | ~ member(not_subclass_element(iPr_def_10,iPr_def_11),iPr_def_10)
      | ( X1 != iPr_def_10 )
      | ( X0 != not_subclass_element(iPr_def_10,iPr_def_11) ) ),
    inference(instantiation,[status(thm)],[c_2946]) ).

tcf(c_5435,plain,
    ( ( iPr_def_10 = iPr_def_11 )
    | ( iPr_def_11 != iPr_def_10 )
    | ( iPr_def_10 != iPr_def_10 ) ),
    inference(instantiation,[status(thm)],[c_5310]) ).

tcf(c_5436,plain,
    iPr_def_10 = iPr_def_10,
    inference(instantiation,[status(thm)],[c_2942]) ).

tcf(c_5546,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_11,complement(unordered_pair(y,X0))) = null_class )
      | ~ member(y,universal_class) ),
    inference(superposition,[status(thm)],[c_167,c_5045]) ).

tcf(c_9034,plain,
    ( ( null_class = iPr_def_10 )
    | ( not_subclass_element(iPr_def_10,null_class) = y )
    | ( not_subclass_element(iPr_def_10,null_class) = x ) ),
    inference(superposition,[status(thm)],[c_248,c_4536]) ).

tcf(c_9040,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_10,X0) = null_class )
      | ( regular(intersection(iPr_def_10,X0)) = y )
      | ( regular(intersection(iPr_def_10,X0)) = x ) ),
    inference(superposition,[status(thm)],[c_3908,c_4536]) ).

tcf(c_11377,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_165]) ).

tcf(c_16409,plain,
    ! [X0: $i] : intersection(iPr_def_11,complement(unordered_pair(y,X0))) = null_class,
    inference(forward_subsumption_resolution,[status(thm)],[c_5546,c_4832]) ).

tcf(c_16414,plain,
    intersection(iPr_def_11,complement(iPr_def_10)) = null_class,
    inference(superposition,[status(thm)],[c_2938,c_16409]) ).

tcf(c_16424,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,null_class)
      | ~ member(X0,iPr_def_11)
      | ~ member(X0,complement(unordered_pair(y,X1))) ),
    inference(superposition,[status(thm)],[c_16409,c_179]) ).

tcf(c_16436,plain,
    ! [X0: $i,X1: $i] :
      ( ~ member(X0,iPr_def_11)
      | ~ member(X0,complement(unordered_pair(y,X1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16424,c_245]) ).

tcf(c_16488,plain,
    ! [X0: $i] :
      ( member(X0,null_class)
      | ~ member(X0,iPr_def_11)
      | ~ member(X0,complement(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_16414,c_179]) ).

tcf(c_16500,plain,
    ! [X0: $i] :
      ( ~ member(X0,iPr_def_11)
      | ~ member(X0,complement(iPr_def_10)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16488,c_245]) ).

tcf(c_16552,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_10)
      | ~ member(X0,iPr_def_11)
      | ~ member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_181,c_16500]) ).

tcf(c_17042,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_10)
      | ~ member(X0,iPr_def_11) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16552,c_3994]) ).

tcf(c_17050,plain,
    ! [X0: $i] :
      ( subclass(iPr_def_11,X0)
      | member(not_subclass_element(iPr_def_11,X0),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_160,c_17042]) ).

tcf(c_17219,plain,
    subclass(iPr_def_11,iPr_def_10),
    inference(superposition,[status(thm)],[c_17050,c_161]) ).

tcf(c_17242,plain,
    ( ( iPr_def_10 = iPr_def_11 )
    | ~ subclass(iPr_def_10,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_17219,c_165]) ).

tcf(c_17247,plain,
    ~ subclass(iPr_def_10,iPr_def_11),
    inference(forward_subsumption_resolution,[status(thm)],[c_17242,c_2940]) ).

tcf(c_17667,plain,
    ( member(x,universal_class)
    | ( null_class = iPr_def_10 )
    | ( not_subclass_element(iPr_def_10,null_class) = y ) ),
    inference(superposition,[status(thm)],[c_9034,c_4053]) ).

tcf(c_17672,plain,
    ( ( null_class = iPr_def_10 )
    | ( not_subclass_element(iPr_def_10,null_class) = y ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17667,c_2941]) ).

tcf(c_18181,plain,
    ( member(y,universal_class)
    | ( null_class = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_17672,c_4053]) ).

tcf(c_19933,plain,
    ! [X0: $i] :
      ( member(x,universal_class)
      | ( intersection(iPr_def_10,X0) = null_class )
      | ( regular(intersection(iPr_def_10,X0)) = y ) ),
    inference(superposition,[status(thm)],[c_9040,c_4059]) ).

tcf(c_19949,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_10,X0) = null_class )
      | ( regular(intersection(iPr_def_10,X0)) = y ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_19933,c_2941]) ).

tcf(c_21016,plain,
    ! [X0: $i] :
      ( member(y,X0)
      | ( intersection(iPr_def_10,X0) = null_class ) ),
    inference(superposition,[status(thm)],[c_19949,c_3929]) ).

tcf(c_21123,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_10,complement(X0)) = null_class )
      | ~ member(y,X0) ),
    inference(superposition,[status(thm)],[c_21016,c_180]) ).

tcf(c_21154,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_10,complement(unordered_pair(y,X0))) = null_class )
      | ~ member(y,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_21016,c_16436]) ).

tcf(c_23432,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_10,complement(unordered_pair(y,X0))) = null_class )
      | ~ member(y,universal_class) ),
    inference(superposition,[status(thm)],[c_167,c_21123]) ).

tcf(c_25162,plain,
    ! [X0: $i] :
      ( member(X0,null_class)
      | ~ member(not_subclass_element(iPr_def_10,iPr_def_11),iPr_def_10)
      | ( null_class != iPr_def_10 )
      | ( X0 != not_subclass_element(iPr_def_10,iPr_def_11) ) ),
    inference(instantiation,[status(thm)],[c_5340]) ).

tcf(c_27900,plain,
    ~ member(not_subclass_element(iPr_def_10,iPr_def_11),null_class),
    inference(instantiation,[status(thm)],[c_245]) ).

tcf(c_33813,plain,
    ( member(not_subclass_element(iPr_def_10,iPr_def_11),null_class)
    | ~ member(not_subclass_element(iPr_def_10,iPr_def_11),iPr_def_10)
    | ( null_class != iPr_def_10 )
    | ( not_subclass_element(iPr_def_10,iPr_def_11) != not_subclass_element(iPr_def_10,iPr_def_11) ) ),
    inference(instantiation,[status(thm)],[c_25162]) ).

tcf(c_33814,plain,
    not_subclass_element(iPr_def_10,iPr_def_11) = not_subclass_element(iPr_def_10,iPr_def_11),
    inference(instantiation,[status(thm)],[c_2942]) ).

tcf(c_35082,plain,
    ! [X0: $i] : intersection(iPr_def_10,complement(unordered_pair(y,X0))) = null_class,
    inference(global_subsumption_just,[status(thm)],[c_21154,c_2940,c_5313,c_5435,c_5436,c_11377,c_17219,c_18181,c_23432,c_27900,c_33813,c_33814]) ).

tcf(c_35098,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,null_class)
      | ~ member(X0,iPr_def_10)
      | ~ member(X0,complement(unordered_pair(y,X1))) ),
    inference(superposition,[status(thm)],[c_35082,c_179]) ).

tcf(c_35109,plain,
    ! [X0: $i,X1: $i] :
      ( ~ member(X0,iPr_def_10)
      | ~ member(X0,complement(unordered_pair(y,X1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_35098,c_245]) ).

tcf(c_35288,plain,
    ! [X0: $i] :
      ( ~ member(X0,iPr_def_10)
      | ~ member(X0,complement(iPr_def_11)) ),
    inference(superposition,[status(thm)],[c_2939,c_35109]) ).

tcf(c_35372,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_11)
      | ~ member(X0,iPr_def_10)
      | ~ member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_181,c_35288]) ).

tcf(c_35804,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_11)
      | ~ member(X0,iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_35372,c_3994]) ).

tcf(c_35812,plain,
    ! [X0: $i] :
      ( subclass(iPr_def_10,X0)
      | member(not_subclass_element(iPr_def_10,X0),iPr_def_11) ),
    inference(superposition,[status(thm)],[c_160,c_35804]) ).

tcf(c_35886,plain,
    subclass(iPr_def_10,iPr_def_11),
    inference(superposition,[status(thm)],[c_35812,c_161]) ).

tcf(c_35900,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_35886,c_17247]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SET070-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.44  % Computer : n018.cluster.edu
% 0.16/0.44  % Model    : x86_64 x86_64
% 0.16/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44  % Memory   : 8046.5625MB
% 0.16/0.44  % OS       : Linux 6.8.0-71-generic
% 0.16/0.44  % CPULimit : 300
% 0.16/0.44  % WCLimit  : 300
% 0.16/0.44  % DateTime : Thu Sep 24 09:37:19 UTC 2026
% 0.16/0.45  % CPUTime  : 
% 0.16/0.45  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.50  Running first-order theorem proving
% 0.16/0.50  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
% 0.25/0.51  
% 0.25/0.51  % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.51  
% 0.25/0.52  % Detected problem language: tptp
% 0.25/0.54  % Proving...
% 40.38/6.61  % SZS status Started for theBenchmark.p
% 40.38/6.61  % SZS status Unsatisfiable for theBenchmark.p
% 40.38/6.61  
% 40.38/6.61  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 40.38/6.61  
% 40.38/6.61  % ------  iProver source info
% 40.38/6.61  
% 40.38/6.61  % git: date: 2026-07-19 20:42:38 +0200
% 40.38/6.61  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 40.38/6.61  % git: non_committed_changes: false
% 40.38/6.61  
% 40.38/6.61  % ------ Parsing...% successful
% 40.38/6.61  
% 40.38/6.61  
% 40.38/6.61  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 40.38/6.61  
% 40.38/6.61  % ------ Preprocessing... sup_sim: 1  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 % 
% 40.38/6.61  
% 40.38/6.61  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 40.38/6.61  
% 40.38/6.61  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 40.38/6.61  % ------ Proving...
% 40.38/6.61  % ------ Problem Properties 
% 40.38/6.61  
% 40.38/6.61  % 
% 40.38/6.61  % clauses                               86
% 40.38/6.61  % conjectures                           1
% 40.38/6.61  % EPR                                   19
% 40.38/6.61  % Horn                                  75
% 40.38/6.61  % unary                                 24
% 40.38/6.61  % binary                                38
% 40.38/6.61  % lits                                  178
% 40.38/6.61  % lits eq                               29
% 40.38/6.61  % fd_pure                               0
% 40.38/6.61  % fd_pseudo                             0
% 40.38/6.61  % fd_cond                               5
% 40.38/6.61  % fd_pseudo_cond                        6
% 40.38/6.61  % AC symbols                            0
% 40.38/6.61  
% 40.38/6.61  % ------ Schedule dynamic 5 is on 
% 40.38/6.61  
% 40.38/6.61  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 40.38/6.61  
% 40.38/6.61  
% 40.38/6.61  % ------ 
% 40.38/6.61  % Current options:
% 40.38/6.61  % ------ 
% 40.38/6.61  
% 40.38/6.61  
% 40.38/6.61  % 
% 40.38/6.61  
% 40.38/6.61  % ------ Proving...
% 40.38/6.61  % 
% 40.38/6.61  
% 40.38/6.61  % SZS status Unsatisfiable for theBenchmark.p
% 40.38/6.61  
% 40.38/6.61  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 40.38/6.61  
% 40.38/6.61  
%------------------------------------------------------------------------------