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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET069-7 : 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 : n001.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 27.14s 6.10s
% Output   : CNFRefutation 36.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  100 (  25 unt;   2 def)
%            Number of atoms       :  330 (  77 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  195 (  88   ~; 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   :  119 (   0 sgn 119   !;   0   ?;  85   :)

% 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(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( member(X0,X1)
      | ~ member(X0,intersection(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).

fof(f22,axiom,
    ! [X2,X0,X1] :
      ( member(X0,X2)
      | ~ member(X0,intersection(X1,X2)) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).

fof(f24,axiom,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | ~ member(X0,complement(X1)) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).

fof(f67,axiom,
    ! [X0] :
      ( member(regular(X0),X0)
      | X0 = null_class ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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(f121,negated_conjecture,
    ~ member(y,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_equals_singleton1_1) ).

fof(f122,negated_conjecture,
    unordered_pair(x,y) != singleton(x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_equals_singleton1_2) ).

fof(f175,plain,
    unordered_pair(x,y) != unordered_pair(x,x),
    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_251,negated_conjecture,
    ~ member(y,universal_class),
    inference(cnf_transformation,[],[f121]) ).

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

tcf(c_2937,definition,
    iPr_def_10 = unordered_pair(x,y),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_2938,definition,
    iPr_def_11 = unordered_pair(x,x),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_2939,negated_conjecture,
    iPr_def_10 != iPr_def_11,
    inference(demodulation,[status(thm)],[c_252,c_2938,c_2937]) ).

tcf(c_2940,negated_conjecture,
    ~ member(y,universal_class),
    inference(demodulation,[status(thm)],[c_251]) ).

tcf(c_2941,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_2943,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_2945,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( member(X0,X2)
      | ~ member(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_3907,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_3928,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_3993,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,universal_class)
      | ~ member(X0,X1) ),
    inference(superposition,[status(thm)],[c_162,c_159]) ).

tcf(c_4052,plain,
    ! [X0: $i] :
      ( member(not_subclass_element(X0,null_class),universal_class)
      | ( X0 = null_class ) ),
    inference(superposition,[status(thm)],[c_248,c_3993]) ).

tcf(c_4058,plain,
    ! [X0: $i] :
      ( member(regular(X0),universal_class)
      | ( X0 = null_class ) ),
    inference(superposition,[status(thm)],[c_211,c_3993]) ).

tcf(c_4534,plain,
    ! [X0: $i] :
      ( ( X0 = x )
      | ( X0 = y )
      | ~ member(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_2937,c_166]) ).

tcf(c_4535,plain,
    ! [X0: $i] :
      ( ( X0 = x )
      | ~ member(X0,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_2938,c_166]) ).

tcf(c_4663,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_11,X0) = null_class )
      | ( regular(intersection(iPr_def_11,X0)) = x ) ),
    inference(superposition,[status(thm)],[c_3907,c_4535]) ).

tcf(c_4831,plain,
    ! [X0: $i] :
      ( member(x,universal_class)
      | ( intersection(iPr_def_11,X0) = null_class ) ),
    inference(superposition,[status(thm)],[c_4663,c_4058]) ).

tcf(c_4832,plain,
    ! [X0: $i] :
      ( member(x,intersection(iPr_def_11,X0))
      | ( intersection(iPr_def_11,X0) = null_class ) ),
    inference(superposition,[status(thm)],[c_4663,c_211]) ).

tcf(c_5028,plain,
    ! [X0: $i] :
      ( member(x,X0)
      | ( intersection(iPr_def_11,X0) = null_class ) ),
    inference(superposition,[status(thm)],[c_4832,c_178]) ).

tcf(c_5044,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_11,complement(X0)) = null_class )
      | ~ member(x,X0) ),
    inference(superposition,[status(thm)],[c_5028,c_180]) ).

tcf(c_5309,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_11 )
      | ( iPr_def_11 != X0 )
      | ( iPr_def_10 != X0 ) ),
    inference(instantiation,[status(thm)],[c_2943]) ).

tcf(c_5312,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_5339,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_2945]) ).

tcf(c_5434,plain,
    ( ( iPr_def_10 = iPr_def_11 )
    | ( iPr_def_11 != iPr_def_10 )
    | ( iPr_def_10 != iPr_def_10 ) ),
    inference(instantiation,[status(thm)],[c_5309]) ).

tcf(c_5435,plain,
    iPr_def_10 = iPr_def_10,
    inference(instantiation,[status(thm)],[c_2941]) ).

tcf(c_5545,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_11,complement(unordered_pair(x,X0))) = null_class )
      | ~ member(x,universal_class) ),
    inference(superposition,[status(thm)],[c_167,c_5044]) ).

tcf(c_9033,plain,
    ( ( null_class = iPr_def_10 )
    | ( not_subclass_element(iPr_def_10,null_class) = x )
    | ( not_subclass_element(iPr_def_10,null_class) = y ) ),
    inference(superposition,[status(thm)],[c_248,c_4534]) ).

tcf(c_9039,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_10,X0) = null_class )
      | ( regular(intersection(iPr_def_10,X0)) = x )
      | ( regular(intersection(iPr_def_10,X0)) = y ) ),
    inference(superposition,[status(thm)],[c_3907,c_4534]) ).

tcf(c_11376,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_16408,plain,
    ! [X0: $i] : intersection(iPr_def_11,complement(unordered_pair(x,X0))) = null_class,
    inference(forward_subsumption_resolution,[status(thm)],[c_5545,c_4831]) ).

tcf(c_16412,plain,
    intersection(iPr_def_11,complement(iPr_def_10)) = null_class,
    inference(superposition,[status(thm)],[c_2937,c_16408]) ).

tcf(c_16423,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,null_class)
      | ~ member(X0,iPr_def_11)
      | ~ member(X0,complement(unordered_pair(x,X1))) ),
    inference(superposition,[status(thm)],[c_16408,c_179]) ).

tcf(c_16435,plain,
    ! [X0: $i,X1: $i] :
      ( ~ member(X0,iPr_def_11)
      | ~ member(X0,complement(unordered_pair(x,X1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16423,c_245]) ).

tcf(c_16457,plain,
    ! [X0: $i] :
      ( member(X0,null_class)
      | ~ member(X0,iPr_def_11)
      | ~ member(X0,complement(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_16412,c_179]) ).

tcf(c_16469,plain,
    ! [X0: $i] :
      ( ~ member(X0,iPr_def_11)
      | ~ member(X0,complement(iPr_def_10)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16457,c_245]) ).

tcf(c_16551,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_10)
      | ~ member(X0,iPr_def_11)
      | ~ member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_181,c_16469]) ).

tcf(c_17041,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_10)
      | ~ member(X0,iPr_def_11) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16551,c_3993]) ).

tcf(c_17049,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_17041]) ).

tcf(c_17218,plain,
    subclass(iPr_def_11,iPr_def_10),
    inference(superposition,[status(thm)],[c_17049,c_161]) ).

tcf(c_17241,plain,
    ( ( iPr_def_10 = iPr_def_11 )
    | ~ subclass(iPr_def_10,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_17218,c_165]) ).

tcf(c_17246,plain,
    ~ subclass(iPr_def_10,iPr_def_11),
    inference(forward_subsumption_resolution,[status(thm)],[c_17241,c_2939]) ).

tcf(c_17666,plain,
    ( member(y,universal_class)
    | ( null_class = iPr_def_10 )
    | ( not_subclass_element(iPr_def_10,null_class) = x ) ),
    inference(superposition,[status(thm)],[c_9033,c_4052]) ).

tcf(c_17671,plain,
    ( ( null_class = iPr_def_10 )
    | ( not_subclass_element(iPr_def_10,null_class) = x ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17666,c_2940]) ).

tcf(c_18180,plain,
    ( member(x,universal_class)
    | ( null_class = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_17671,c_4052]) ).

tcf(c_19932,plain,
    ! [X0: $i] :
      ( member(y,universal_class)
      | ( intersection(iPr_def_10,X0) = null_class )
      | ( regular(intersection(iPr_def_10,X0)) = x ) ),
    inference(superposition,[status(thm)],[c_9039,c_4058]) ).

tcf(c_19948,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_10,X0) = null_class )
      | ( regular(intersection(iPr_def_10,X0)) = x ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_19932,c_2940]) ).

tcf(c_21015,plain,
    ! [X0: $i] :
      ( member(x,X0)
      | ( intersection(iPr_def_10,X0) = null_class ) ),
    inference(superposition,[status(thm)],[c_19948,c_3928]) ).

tcf(c_21122,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_10,complement(X0)) = null_class )
      | ~ member(x,X0) ),
    inference(superposition,[status(thm)],[c_21015,c_180]) ).

tcf(c_21153,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_10,complement(unordered_pair(x,X0))) = null_class )
      | ~ member(x,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_21015,c_16435]) ).

tcf(c_23431,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_10,complement(unordered_pair(x,X0))) = null_class )
      | ~ member(x,universal_class) ),
    inference(superposition,[status(thm)],[c_167,c_21122]) ).

tcf(c_25161,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_5339]) ).

tcf(c_27625,plain,
    ~ member(not_subclass_element(iPr_def_10,iPr_def_11),null_class),
    inference(instantiation,[status(thm)],[c_245]) ).

tcf(c_34988,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_25161]) ).

tcf(c_34989,plain,
    not_subclass_element(iPr_def_10,iPr_def_11) = not_subclass_element(iPr_def_10,iPr_def_11),
    inference(instantiation,[status(thm)],[c_2941]) ).

tcf(c_36652,plain,
    ! [X0: $i] : intersection(iPr_def_10,complement(unordered_pair(x,X0))) = null_class,
    inference(global_subsumption_just,[status(thm)],[c_21153,c_2939,c_5312,c_5434,c_5435,c_11376,c_17218,c_18180,c_23431,c_27625,c_34988,c_34989]) ).

tcf(c_36669,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,null_class)
      | ~ member(X0,iPr_def_10)
      | ~ member(X0,complement(unordered_pair(x,X1))) ),
    inference(superposition,[status(thm)],[c_36652,c_179]) ).

tcf(c_36680,plain,
    ! [X0: $i,X1: $i] :
      ( ~ member(X0,iPr_def_10)
      | ~ member(X0,complement(unordered_pair(x,X1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_36669,c_245]) ).

tcf(c_37016,plain,
    ! [X0: $i] :
      ( ~ member(X0,iPr_def_10)
      | ~ member(X0,complement(iPr_def_11)) ),
    inference(superposition,[status(thm)],[c_2938,c_36680]) ).

tcf(c_37099,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_11)
      | ~ member(X0,iPr_def_10)
      | ~ member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_181,c_37016]) ).

tcf(c_37903,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_11)
      | ~ member(X0,iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_37099,c_3993]) ).

tcf(c_37911,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_37903]) ).

tcf(c_37985,plain,
    subclass(iPr_def_10,iPr_def_11),
    inference(superposition,[status(thm)],[c_37911,c_161]) ).

tcf(c_37999,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_37985,c_17246]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET069-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.42  % Computer : n001.cluster.edu
% 0.16/0.42  % Model    : x86_64 x86_64
% 0.16/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42  % Memory   : 8046.5625MB
% 0.16/0.42  % OS       : Linux 6.8.0-71-generic
% 0.16/0.42  % CPULimit : 300
% 0.16/0.42  % WCLimit  : 300
% 0.16/0.42  % DateTime : Thu Sep 24 09:40:09 UTC 2026
% 0.16/0.43  % CPUTime  : 
% 0.16/0.43  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.49  Running first-order theorem proving
% 0.16/0.49  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
% 0.24/0.51  
% 0.24/0.51  % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.51  
% 0.24/0.51  % Detected problem language: tptp
% 0.24/0.53  % Proving...
% 27.14/6.10  % SZS status Started for theBenchmark.p
% 27.14/6.10  % SZS status Unsatisfiable for theBenchmark.p
% 27.14/6.10  
% 27.14/6.10  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 27.14/6.10  
% 27.14/6.10  % ------  iProver source info
% 27.14/6.10  
% 27.14/6.10  % git: date: 2026-07-19 20:42:38 +0200
% 27.14/6.10  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 27.14/6.10  % git: non_committed_changes: false
% 27.14/6.10  
% 27.14/6.10  % ------ Parsing...% successful
% 27.14/6.10  
% 27.14/6.10  
% 27.14/6.10  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 27.14/6.10  
% 27.14/6.10  % ------ 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 % 
% 27.14/6.10  
% 27.14/6.10  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 27.14/6.10  
% 27.14/6.10  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 27.14/6.10  % ------ Proving...
% 27.14/6.10  % ------ Problem Properties 
% 27.14/6.10  
% 27.14/6.10  % 
% 27.14/6.10  % clauses                               86
% 27.14/6.10  % conjectures                           2
% 27.14/6.10  % EPR                                   19
% 27.14/6.10  % Horn                                  75
% 27.14/6.10  % unary                                 24
% 27.14/6.10  % binary                                38
% 27.14/6.10  % lits                                  178
% 27.14/6.10  % lits eq                               29
% 27.14/6.10  % fd_pure                               0
% 27.14/6.10  % fd_pseudo                             0
% 27.14/6.10  % fd_cond                               5
% 27.14/6.10  % fd_pseudo_cond                        6
% 27.14/6.10  % AC symbols                            0
% 27.14/6.10  
% 27.14/6.10  % ------ Schedule dynamic 5 is on 
% 27.14/6.10  
% 27.14/6.10  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 27.14/6.10  
% 27.14/6.10  
% 27.14/6.10  % ------ 
% 27.14/6.10  % Current options:
% 27.14/6.10  % ------ 
% 27.14/6.10  
% 27.14/6.10  
% 27.14/6.10  % 
% 27.14/6.10  
% 27.14/6.10  % ------ Proving...
% 27.14/6.10  % 
% 27.14/6.10  
% 27.14/6.10  % SZS status Unsatisfiable for theBenchmark.p
% 27.14/6.10  
% 27.14/6.10  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 36.63/6.10  
% 36.63/6.10  
%------------------------------------------------------------------------------