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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET135-6 : 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 : n007.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 02:46:43 PM UTC 2026

% Result   : Unsatisfiable 10.59s 22.32s
% Output   : CNFRefutation 10.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  108 (  48 unt;  15 def)
%            Number of atoms       :  313 (  56 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  124 (  52   ~;  72   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  17 usr;  16 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-2 aty)
%            Number of variables   :   93 (   0 sgn  93   !;   0   ?;  62   :)

% Comments : 
%------------------------------------------------------------------------------
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(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(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).

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(f101,axiom,
    ! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_set_builder) ).

fof(f102,negated_conjecture,
    member(u,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_3_to_member_of_triple_1) ).

fof(f103,negated_conjecture,
    set_builder(x,set_builder(u,set_builder(z,null_class))) = null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_3_to_member_of_triple_2) ).

fof(f104,plain,
    null_class = set_builder(x,set_builder(u,set_builder(z,null_class))),
    inference(reorient_equations,[],[f103]) ).

fof(f110,plain,
    ! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
    inference(definition_unfolding,[],[f101,f26,f12]) ).

fof(f154,plain,
    null_class = complement(intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),
    inference(definition_unfolding,[],[f104,f110,f110,f110]) ).

tcf(c_144,plain,
    ! [X0: $i,X1: $i] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_145,plain,
    ! [X0: $i,X1: $i] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_146,plain,
    ! [X0: $i] : subclass(X0,universal_class),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_149,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ subclass(X1,X0)
      | ~ subclass(X0,X1) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_150,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X2 )
      | ( X0 = X1 )
      | ~ member(X0,unordered_pair(X1,X2)) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_151,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_161,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X1)
      | ~ member(X0,intersection(X1,X2)) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_162,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X2)
      | ~ member(X0,intersection(X1,X2)) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_164,plain,
    ! [X0: $i,X1: $i] :
      ( ~ member(X0,X1)
      | ~ member(X0,complement(X1)) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_165,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,X1)
      | member(X0,complement(X1))
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_195,plain,
    ! [X0: $i] :
      ( member(regular(X0),X0)
      | ( X0 = null_class ) ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_218,negated_conjecture,
    member(u,universal_class),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_219,negated_conjecture,
    complement(intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) = null_class,
    inference(cnf_transformation,[],[f154]) ).

tcf(c_2645,definition,
    iPr_def_10 = unordered_pair(x,x),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_2646,definition,
    iPr_def_11 = complement(iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_2647,definition,
    iPr_def_12 = unordered_pair(u,u),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_2648,definition,
    iPr_def_13 = complement(iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_2649,definition,
    iPr_def_14 = unordered_pair(z,z),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_2650,definition,
    iPr_def_15 = complement(iPr_def_14),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_2651,definition,
    iPr_def_16 = complement(null_class),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_2652,definition,
    iPr_def_17 = intersection(iPr_def_15,iPr_def_16),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_2653,definition,
    iPr_def_18 = complement(iPr_def_17),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_2654,definition,
    iPr_def_19 = complement(iPr_def_18),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_2655,definition,
    iPr_def_20 = intersection(iPr_def_13,iPr_def_19),
    introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).

tcf(c_2656,definition,
    iPr_def_21 = complement(iPr_def_20),
    introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).

tcf(c_2657,definition,
    iPr_def_22 = complement(iPr_def_21),
    introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).

tcf(c_2658,definition,
    iPr_def_23 = intersection(iPr_def_11,iPr_def_22),
    introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).

tcf(c_2659,definition,
    iPr_def_24 = complement(iPr_def_23),
    introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).

tcf(c_2660,negated_conjecture,
    iPr_def_24 = null_class,
    inference(demodulation,[status(thm)],[c_219,c_2651,c_2649,c_2650,c_2652,c_2653,c_2654,c_2647,c_2648,c_2655,c_2656,c_2657,c_2645,c_2646,c_2658,c_2659]) ).

tcf(c_2661,negated_conjecture,
    member(u,universal_class),
    inference(demodulation,[status(thm)],[c_218]) ).

tcf(c_3470,plain,
    complement(iPr_def_24) = iPr_def_16,
    inference(light_normalisation,[status(thm)],[c_2651,c_2660]) ).

tcf(c_3493,plain,
    ! [X0: $i] :
      ( member(regular(X0),X0)
      | ( X0 = iPr_def_24 ) ),
    inference(light_normalisation,[status(thm)],[c_195,c_2660]) ).

tcf(c_3510,plain,
    ( member(u,iPr_def_12)
    | ~ member(u,universal_class) ),
    inference(superposition,[status(thm)],[c_2647,c_151]) ).

tcf(c_3514,plain,
    member(u,iPr_def_12),
    inference(forward_subsumption_resolution,[status(thm)],[c_3510,c_2661]) ).

tcf(c_3537,plain,
    ! [X0: $i,X1: $i] :
      ( member(regular(intersection(X0,X1)),X0)
      | ( intersection(X0,X1) = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_3493,c_161]) ).

tcf(c_3538,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_15)
      | ~ member(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_2652,c_161]) ).

tcf(c_3539,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_13)
      | ~ member(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_2655,c_161]) ).

tcf(c_3561,plain,
    ! [X0: $i,X1: $i] :
      ( member(regular(intersection(X0,X1)),X1)
      | ( intersection(X0,X1) = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_3493,c_162]) ).

tcf(c_3562,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_16)
      | ~ member(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_2652,c_162]) ).

tcf(c_3563,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_19)
      | ~ member(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_2655,c_162]) ).

tcf(c_3564,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_22)
      | ~ member(X0,iPr_def_23) ),
    inference(superposition,[status(thm)],[c_2658,c_162]) ).

tcf(c_3585,plain,
    ! [X0: $i] :
      ( ~ member(X0,iPr_def_13)
      | ~ member(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_2648,c_164]) ).

tcf(c_3588,plain,
    ! [X0: $i] :
      ( ~ member(X0,iPr_def_19)
      | ~ member(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_2654,c_164]) ).

tcf(c_3590,plain,
    ! [X0: $i] :
      ( ~ member(X0,iPr_def_22)
      | ~ member(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_2657,c_164]) ).

tcf(c_3630,plain,
    ! [X0: $i] :
      ( subclass(iPr_def_17,X0)
      | member(not_subclass_element(iPr_def_17,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_144,c_3538]) ).

tcf(c_3663,plain,
    ! [X0: $i] :
      ( subclass(iPr_def_17,X0)
      | member(not_subclass_element(iPr_def_17,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_144,c_3562]) ).

tcf(c_3936,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_18)
      | member(X0,iPr_def_17)
      | ~ member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_2653,c_165]) ).

tcf(c_3938,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_21)
      | member(X0,iPr_def_20)
      | ~ member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_2656,c_165]) ).

tcf(c_3940,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_24)
      | member(X0,iPr_def_23)
      | ~ member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_2659,c_165]) ).

tcf(c_3941,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_24)
      | member(X0,iPr_def_16)
      | ~ member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_3470,c_165]) ).

tcf(c_4113,plain,
    ( member(u,iPr_def_24)
    | member(u,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_2661,c_3941]) ).

tcf(c_4346,plain,
    ! [X0: $i] :
      ( ( X0 = universal_class )
      | ~ subclass(universal_class,X0) ),
    inference(superposition,[status(thm)],[c_146,c_149]) ).

tcf(c_5069,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( intersection(unordered_pair(X0,X1),X2) = iPr_def_24 )
      | ( regular(intersection(unordered_pair(X0,X1),X2)) = X1 )
      | ( regular(intersection(unordered_pair(X0,X1),X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_3537,c_150]) ).

tcf(c_5582,plain,
    ! [X0: $i] :
      ( ( regular(intersection(iPr_def_12,X0)) = u )
      | ( intersection(unordered_pair(u,u),X0) = iPr_def_24 )
      | ( regular(intersection(unordered_pair(u,u),X0)) = u ) ),
    inference(superposition,[status(thm)],[c_2647,c_5069]) ).

tcf(c_5639,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_12,X0) = iPr_def_24 )
      | ( regular(intersection(iPr_def_12,X0)) = u ) ),
    inference(light_normalisation,[status(thm)],[c_5582,c_2647]) ).

tcf(c_6005,plain,
    subclass(iPr_def_17,iPr_def_15),
    inference(superposition,[status(thm)],[c_3630,c_145]) ).

tcf(c_6014,plain,
    ( ( iPr_def_15 = iPr_def_17 )
    | ~ subclass(iPr_def_15,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_6005,c_149]) ).

tcf(c_7331,plain,
    subclass(iPr_def_17,iPr_def_16),
    inference(superposition,[status(thm)],[c_3663,c_145]) ).

tcf(c_7344,plain,
    ( ( iPr_def_16 = iPr_def_17 )
    | ~ subclass(iPr_def_16,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_7331,c_149]) ).

tcf(c_16097,plain,
    ! [X0: $i] :
      ( member(u,X0)
      | ( intersection(iPr_def_12,X0) = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_5639,c_3561]) ).

tcf(c_19490,plain,
    ( ( intersection(iPr_def_12,iPr_def_13) = iPr_def_24 )
    | ~ member(u,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_16097,c_3585]) ).

tcf(c_19551,plain,
    intersection(iPr_def_12,iPr_def_13) = iPr_def_24,
    inference(forward_subsumption_resolution,[status(thm)],[c_19490,c_3514]) ).

tcf(c_19818,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_13)
      | ~ member(X0,iPr_def_24) ),
    inference(superposition,[status(thm)],[c_19551,c_162]) ).

tcf(c_19819,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_12)
      | ~ member(X0,iPr_def_24) ),
    inference(superposition,[status(thm)],[c_19551,c_161]) ).

tcf(c_19847,plain,
    ! [X0: $i] : ~ member(X0,iPr_def_24),
    inference(global_subsumption_just,[status(thm)],[c_19818,c_3585,c_19819,c_19818]) ).

tcf(c_19860,plain,
    member(u,iPr_def_16),
    inference(backward_subsumption_resolution,[status(thm)],[c_4113,c_19847]) ).

tcf(c_19861,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_16)
      | ~ member(X0,universal_class) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3941,c_19847]) ).

tcf(c_20107,plain,
    ! [X0: $i] :
      ( subclass(universal_class,X0)
      | member(not_subclass_element(universal_class,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_144,c_19861]) ).

tcf(c_21122,plain,
    subclass(universal_class,iPr_def_16),
    inference(superposition,[status(thm)],[c_20107,c_145]) ).

tcf(c_21173,plain,
    universal_class = iPr_def_16,
    inference(superposition,[status(thm)],[c_21122,c_4346]) ).

tcf(c_21312,plain,
    ! [X0: $i] : subclass(X0,iPr_def_16),
    inference(demodulation,[status(thm)],[c_146,c_21173]) ).

tcf(c_23438,plain,
    ! [X0: $i] :
      ( ~ member(X0,universal_class)
      | member(X0,iPr_def_17) ),
    inference(global_subsumption_just,[status(thm)],[c_3936,c_3564,c_3563,c_3590,c_3588,c_3585,c_3940,c_3938,c_3936,c_19819,c_19818]) ).

tcf(c_23439,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_17)
      | ~ member(X0,universal_class) ),
    inference(renaming,[status(thm)],[c_23438]) ).

tcf(c_23441,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_17)
      | ~ member(X0,iPr_def_16) ),
    inference(light_normalisation,[status(thm)],[c_23439,c_21173]) ).

tcf(c_23448,plain,
    ! [X0: $i] :
      ( subclass(iPr_def_16,X0)
      | member(not_subclass_element(iPr_def_16,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_144,c_23441]) ).

tcf(c_23578,plain,
    subclass(iPr_def_16,iPr_def_17),
    inference(superposition,[status(thm)],[c_23448,c_145]) ).

tcf(c_23589,plain,
    iPr_def_16 = iPr_def_17,
    inference(backward_subsumption_resolution,[status(thm)],[c_7344,c_23578]) ).

tcf(c_23598,plain,
    ( ( iPr_def_15 = iPr_def_16 )
    | ~ subclass(iPr_def_15,iPr_def_16) ),
    inference(demodulation,[status(thm)],[c_6014,c_23589]) ).

tcf(c_23997,plain,
    iPr_def_15 = iPr_def_16,
    inference(forward_subsumption_resolution,[status(thm)],[c_23598,c_21312]) ).

tcf(c_24005,plain,
    universal_class = iPr_def_15,
    inference(demodulation,[status(thm)],[c_21173,c_23997]) ).

tcf(c_24017,plain,
    member(u,iPr_def_15),
    inference(demodulation,[status(thm)],[c_19860,c_23997]) ).

tcf(c_24732,plain,
    ! [X0: $i] :
      ( ~ member(X0,universal_class)
      | member(X0,iPr_def_20) ),
    inference(global_subsumption_just,[status(thm)],[c_3938,c_3564,c_3590,c_3585,c_3940,c_3938,c_19819,c_19818]) ).

tcf(c_24733,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_20)
      | ~ member(X0,universal_class) ),
    inference(renaming,[status(thm)],[c_24732]) ).

tcf(c_24735,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_20)
      | ~ member(X0,iPr_def_15) ),
    inference(light_normalisation,[status(thm)],[c_24733,c_24005]) ).

tcf(c_24745,plain,
    member(u,iPr_def_20),
    inference(superposition,[status(thm)],[c_24017,c_24735]) ).

tcf(c_24934,plain,
    member(u,iPr_def_13),
    inference(superposition,[status(thm)],[c_24745,c_3539]) ).

tcf(c_25189,plain,
    ~ member(u,iPr_def_12),
    inference(superposition,[status(thm)],[c_24934,c_3585]) ).

tcf(c_25190,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_25189,c_3514]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET135-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/20.39  % Computer : n007.cluster.edu
% 0.10/20.39  % Model    : x86_64 x86_64
% 0.10/20.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/20.39  % Memory   : 8046.5625MB
% 0.10/20.39  % OS       : Linux 6.8.0-71-generic
% 0.10/20.39  % CPULimit : 300
% 0.10/20.39  % WCLimit  : 300
% 0.10/20.39  % DateTime : Thu Sep 24 09:57:28 UTC 2026
% 0.10/20.39  % CPUTime  : 
% 0.10/20.39  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/20.43  Running first-order theorem proving
% 0.15/20.43  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
% 0.15/20.45  
% 0.15/20.45  % ======== iProver multi-core TPTP/SMT =========
% 0.15/20.45  
% 0.15/20.45  % Detected problem language: tptp
% 0.15/20.47  % Proving...
% 10.59/22.32  % SZS status Started for theBenchmark.p
% 10.59/22.32  % SZS status Unsatisfiable for theBenchmark.p
% 10.59/22.32  
% 10.59/22.32  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.59/22.32  
% 10.59/22.32  % ------  iProver source info
% 10.59/22.32  
% 10.59/22.32  % git: date: 2026-07-19 20:42:38 +0200
% 10.59/22.32  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.59/22.32  % git: non_committed_changes: false
% 10.59/22.32  
% 10.59/22.32  % ------ Parsing...% successful
% 10.59/22.32  
% 10.59/22.32  
% 10.59/22.32  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 10.59/22.32  
% 10.59/22.32  % ------ 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 % 
% 10.59/22.32  
% 10.59/22.32  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 10.59/22.32  
% 10.59/22.32  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.59/22.32  % ------ Proving...
% 10.59/22.32  % ------ Problem Properties 
% 10.59/22.32  
% 10.59/22.32  % 
% 10.59/22.32  % clauses                               84
% 10.59/22.32  % conjectures                           2
% 10.59/22.32  % EPR                                   14
% 10.59/22.32  % Horn                                  76
% 10.59/22.32  % unary                                 32
% 10.59/22.32  % binary                                32
% 10.59/22.32  % lits                                  162
% 10.59/22.32  % lits eq                               36
% 10.59/22.32  % fd_pure                               0
% 10.59/22.32  % fd_pseudo                             0
% 10.59/22.32  % fd_cond                               3
% 10.59/22.32  % fd_pseudo_cond                        3
% 10.59/22.32  % AC symbols                            0
% 10.59/22.32  
% 10.59/22.32  % ------ Schedule dynamic 5 is on 
% 10.59/22.32  
% 10.59/22.32  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.59/22.32  
% 10.59/22.32  
% 10.59/22.32  % ------ 
% 10.59/22.32  % Current options:
% 10.59/22.32  % ------ 
% 10.59/22.32  
% 10.59/22.32  
% 10.59/22.32  % 
% 10.59/22.32  
% 10.59/22.32  % ------ Proving...
% 10.59/22.32  % 
% 10.59/22.32  
% 10.59/22.32  % SZS status Unsatisfiable for theBenchmark.p
% 10.59/22.32  
% 10.59/22.32  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.59/22.33  
% 10.59/22.33  
%------------------------------------------------------------------------------