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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUM154-1 : 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 : n012.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 02:23:25 PM UTC 2026

% Result   : Unsatisfiable 10.13s 2.02s
% Output   : CNFRefutation 10.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  104 (  39 unt;   5 def)
%            Number of atoms       :  277 (  61 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  139 (  59   ~;  80   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :  111 (   0 sgn 111   !;   0   ?;  74   :)

% 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(f11,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).

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(f44,axiom,
    ! [X0] : union(X0,singleton(X0)) = successor(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',successor) ).

fof(f48,axiom,
    ! [X0] :
      ( member(null_class,X0)
      | ~ inductive(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',inductive1) ).

fof(f51,axiom,
    inductive(omega),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',omega_is_inductive1) ).

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(f69,axiom,
    ! [X0] :
      ( intersection(X0,regular(X0)) = null_class
      | X0 = null_class ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).

fof(f70,plain,
    ! [X0] :
      ( null_class = intersection(X0,regular(X0))
      | null_class = X0 ),
    inference(reorient_equations,[],[f69]) ).

fof(f176,negated_conjecture,
    successor(x) = null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_5_to_successor_property1_1) ).

fof(f177,plain,
    null_class = successor(x),
    inference(reorient_equations,[],[f176]) ).

fof(f183,plain,
    ! [X0] : successor(X0) = complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),
    inference(definition_unfolding,[],[f44,f26,f12]) ).

fof(f268,plain,
    null_class = complement(intersection(complement(x),complement(unordered_pair(x,x)))),
    inference(definition_unfolding,[],[f177,f183]) ).

tcf(c_208,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subclass(X0,X1) ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_209,plain,
    ! [X0: $i,X1: $i] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_210,plain,
    ! [X0: $i,X1: $i] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_211,plain,
    ! [X0: $i] : subclass(X0,universal_class),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_214,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ subclass(X1,X0)
      | ~ subclass(X0,X1) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_215,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X2 )
      | ( X0 = X1 )
      | ~ member(X0,unordered_pair(X1,X2)) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_216,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_218,plain,
    ! [X0: $i,X1: $i] : member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_226,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X1)
      | ~ member(X0,intersection(X1,X2)) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_227,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X2)
      | ~ member(X0,intersection(X1,X2)) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_229,plain,
    ! [X0: $i,X1: $i] :
      ( ~ member(X0,X1)
      | ~ member(X0,complement(X1)) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_230,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,X1)
      | member(X0,complement(X1))
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_243,plain,
    ! [X0: $i] :
      ( member(null_class,X0)
      | ~ inductive(X0) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_246,plain,
    inductive(omega),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_260,plain,
    ! [X0: $i] :
      ( member(regular(X0),X0)
      | ( X0 = null_class ) ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_261,plain,
    ! [X0: $i] :
      ( ( X0 = null_class )
      | ( intersection(X0,regular(X0)) = null_class ) ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_343,negated_conjecture,
    complement(intersection(complement(x),complement(unordered_pair(x,x)))) = null_class,
    inference(cnf_transformation,[],[f268]) ).

tcf(c_564,plain,
    ! [X0: $i] :
      ( member(null_class,X0)
      | ~ inductive(X0) ),
    inference(prop_impl_just,[status(thm)],[c_243]) ).

tcf(c_2173,plain,
    ! [X0: $i] :
      ( member(null_class,X0)
      | ( X0 != omega ) ),
    inference(resolution_lifted,[status(thm)],[c_564,c_246]) ).

tcf(c_2174,plain,
    member(null_class,omega),
    inference(unflattening,[status(thm)],[c_2173]) ).

tcf(c_4621,definition,
    iPr_def_10 = complement(x),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_4622,definition,
    iPr_def_11 = unordered_pair(x,x),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_4623,definition,
    iPr_def_12 = complement(iPr_def_11),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_4624,definition,
    iPr_def_13 = intersection(iPr_def_10,iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_4625,definition,
    iPr_def_14 = complement(iPr_def_13),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_4626,negated_conjecture,
    iPr_def_14 = null_class,
    inference(demodulation,[status(thm)],[c_343,c_4622,c_4623,c_4621,c_4624,c_4625]) ).

tcf(c_5812,plain,
    member(iPr_def_14,omega),
    inference(light_normalisation,[status(thm)],[c_2174,c_4626]) ).

tcf(c_5815,plain,
    member(iPr_def_11,universal_class),
    inference(superposition,[status(thm)],[c_4622,c_218]) ).

tcf(c_5868,plain,
    ! [X0: $i] :
      ( member(regular(X0),X0)
      | ( X0 = iPr_def_14 ) ),
    inference(light_normalisation,[status(thm)],[c_260,c_4626]) ).

tcf(c_5901,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_14 )
      | ( intersection(X0,regular(X0)) = iPr_def_14 ) ),
    inference(light_normalisation,[status(thm)],[c_261,c_4626]) ).

tcf(c_5928,plain,
    ( member(x,iPr_def_11)
    | ~ member(x,universal_class) ),
    inference(superposition,[status(thm)],[c_4622,c_216]) ).

tcf(c_5965,plain,
    ! [X0: $i,X1: $i] :
      ( member(regular(intersection(X0,X1)),X0)
      | ( intersection(X0,X1) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_5868,c_226]) ).

tcf(c_5970,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_10)
      | ~ member(X0,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_4624,c_226]) ).

tcf(c_6112,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,regular(X1))
      | ( X1 = iPr_def_14 )
      | ~ member(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_5901,c_227]) ).

tcf(c_6114,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_12)
      | ~ member(X0,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_4624,c_227]) ).

tcf(c_6148,plain,
    ! [X0: $i] :
      ( ( complement(X0) = iPr_def_14 )
      | ~ member(regular(complement(X0)),X0) ),
    inference(superposition,[status(thm)],[c_5868,c_229]) ).

tcf(c_6151,plain,
    ! [X0: $i] :
      ( ~ member(X0,iPr_def_10)
      | ~ member(X0,x) ),
    inference(superposition,[status(thm)],[c_4621,c_229]) ).

tcf(c_6152,plain,
    ! [X0: $i] :
      ( ~ member(X0,iPr_def_12)
      | ~ member(X0,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_4623,c_229]) ).

tcf(c_6466,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,universal_class)
      | ~ member(X0,X1) ),
    inference(superposition,[status(thm)],[c_211,c_208]) ).

tcf(c_6546,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_10)
      | member(X0,x)
      | ~ member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_4621,c_230]) ).

tcf(c_6547,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_12)
      | member(X0,iPr_def_11)
      | ~ member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_4623,c_230]) ).

tcf(c_6548,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_14)
      | member(X0,iPr_def_13)
      | ~ member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_4625,c_230]) ).

tcf(c_6644,plain,
    ! [X0: $i] :
      ( member(regular(X0),universal_class)
      | ( X0 = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_5868,c_6466]) ).

tcf(c_6645,plain,
    member(iPr_def_14,universal_class),
    inference(superposition,[status(thm)],[c_5812,c_6466]) ).

tcf(c_6650,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,universal_class)
      | ( X1 = iPr_def_14 )
      | ~ member(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_6112,c_6466]) ).

tcf(c_6701,plain,
    complement(universal_class) = iPr_def_14,
    inference(superposition,[status(thm)],[c_6644,c_6148]) ).

tcf(c_6739,plain,
    ! [X0: $i] :
      ( ~ member(X0,iPr_def_14)
      | ~ member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_6701,c_229]) ).

tcf(c_6788,plain,
    ! [X0: $i] :
      ( ( X0 = universal_class )
      | ~ subclass(universal_class,X0) ),
    inference(superposition,[status(thm)],[c_211,c_214]) ).

tcf(c_6964,plain,
    ! [X0: $i,X1: $i] :
      ( ~ member(X0,iPr_def_14)
      | ( X1 = iPr_def_14 ) ),
    inference(global_subsumption_just,[status(thm)],[c_6650,c_6650,c_6739]) ).

tcf(c_6965,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = iPr_def_14 )
      | ~ member(X0,iPr_def_14) ),
    inference(renaming,[status(thm)],[c_6964]) ).

tcf(c_6973,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = iPr_def_14 )
      | ( intersection(iPr_def_14,X0) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_5965,c_6965]) ).

tcf(c_7187,plain,
    ! [X0: $i] :
      ( ( intersection(iPr_def_14,X0) = iPr_def_14 )
      | ( iPr_def_14 != iPr_def_14 ) ),
    inference(equality_factoring,[status(thm)],[c_6973]) ).

tcf(c_7240,plain,
    ! [X0: $i] : intersection(iPr_def_14,X0) = iPr_def_14,
    inference(equality_resolution_simp,[status(thm)],[c_7187]) ).

tcf(c_7667,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,X1)
      | ~ member(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_7240,c_227]) ).

tcf(c_7688,plain,
    ! [X0: $i] : ~ member(X0,iPr_def_14),
    inference(global_subsumption_just,[status(thm)],[c_7667,c_6466,c_6739,c_7667]) ).

tcf(c_7841,plain,
    ! [X0: $i,X1: $i] :
      ( ( unordered_pair(X0,X1) = iPr_def_14 )
      | ( regular(unordered_pair(X0,X1)) = X1 )
      | ( regular(unordered_pair(X0,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_5868,c_215]) ).

tcf(c_7944,plain,
    ( ( regular(iPr_def_11) = x )
    | ( unordered_pair(x,x) = iPr_def_14 )
    | ( regular(unordered_pair(x,x)) = x ) ),
    inference(superposition,[status(thm)],[c_4622,c_7841]) ).

tcf(c_7977,plain,
    ( ( iPr_def_11 = iPr_def_14 )
    | ( regular(iPr_def_11) = x ) ),
    inference(light_normalisation,[status(thm)],[c_7944,c_4622]) ).

tcf(c_13364,plain,
    ( member(x,iPr_def_11)
    | ( iPr_def_11 = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_7977,c_5868]) ).

tcf(c_19142,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_10)
      | ~ member(X0,universal_class) ),
    inference(global_subsumption_just,[status(thm)],[c_6546,c_5970,c_6548,c_7688]) ).

tcf(c_19150,plain,
    ! [X0: $i] :
      ( subclass(universal_class,X0)
      | member(not_subclass_element(universal_class,X0),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209,c_19142]) ).

tcf(c_19160,plain,
    member(iPr_def_11,iPr_def_10),
    inference(superposition,[status(thm)],[c_5815,c_19142]) ).

tcf(c_19166,plain,
    member(iPr_def_14,iPr_def_10),
    inference(superposition,[status(thm)],[c_6645,c_19142]) ).

tcf(c_19560,plain,
    subclass(universal_class,iPr_def_10),
    inference(superposition,[status(thm)],[c_19150,c_210]) ).

tcf(c_19570,plain,
    universal_class = iPr_def_10,
    inference(superposition,[status(thm)],[c_19560,c_6788]) ).

tcf(c_19702,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,iPr_def_10)
      | ~ member(X0,X1) ),
    inference(demodulation,[status(thm)],[c_6466,c_19570]) ).

tcf(c_19706,plain,
    ( member(x,iPr_def_11)
    | ~ member(x,iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_5928,c_19570]) ).

tcf(c_20167,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_12)
      | ~ member(X0,universal_class) ),
    inference(global_subsumption_just,[status(thm)],[c_6547,c_6114,c_6466,c_6548,c_6739,c_7667]) ).

tcf(c_20170,plain,
    ! [X0: $i] :
      ( member(X0,iPr_def_12)
      | ~ member(X0,iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_20167,c_19570]) ).

tcf(c_20187,plain,
    member(iPr_def_14,iPr_def_12),
    inference(superposition,[status(thm)],[c_19166,c_20170]) ).

tcf(c_20216,plain,
    ~ member(iPr_def_14,iPr_def_11),
    inference(superposition,[status(thm)],[c_20187,c_6152]) ).

tcf(c_23007,plain,
    ! [X0: $i] : ~ member(X0,x),
    inference(backward_subsumption_resolution,[status(thm)],[c_6151,c_19702]) ).

tcf(c_23954,plain,
    x = iPr_def_14,
    inference(superposition,[status(thm)],[c_5868,c_23007]) ).

tcf(c_23973,plain,
    ( member(iPr_def_14,iPr_def_11)
    | ( iPr_def_11 = iPr_def_14 ) ),
    inference(demodulation,[status(thm)],[c_13364,c_23954]) ).

tcf(c_23992,plain,
    iPr_def_11 = iPr_def_14,
    inference(forward_subsumption_resolution,[status(thm)],[c_23973,c_20216]) ).

tcf(c_24085,plain,
    ! [X0: $i] : ~ member(X0,iPr_def_11),
    inference(demodulation,[status(thm)],[c_7688,c_23992]) ).

tcf(c_24492,plain,
    x = iPr_def_11,
    inference(light_normalisation,[status(thm)],[c_23954,c_23992]) ).

tcf(c_25008,plain,
    ( member(iPr_def_11,iPr_def_11)
    | ~ member(iPr_def_11,iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_19706,c_24492]) ).

tcf(c_25009,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_25008,c_24085,c_19160]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : NUM154-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.30  % Computer : n012.cluster.edu
% 0.02/0.30  % Model    : x86_64 x86_64
% 0.02/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30  % Memory   : 8046.5625MB
% 0.02/0.30  % OS       : Linux 6.8.0-71-generic
% 0.02/0.30  % CPULimit : 300
% 0.02/0.30  % WCLimit  : 300
% 0.02/0.30  % DateTime : Thu Sep 24 03:03:35 UTC 2026
% 0.02/0.30  % CPUTime  : 
% 0.02/0.30  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.32  Running first-order theorem proving
% 0.02/0.32  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
% 0.02/0.33  
% 0.02/0.33  % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.33  
% 0.02/0.33  % Detected problem language: tptp
% 0.06/0.33  % Proving...
% 10.13/2.02  % SZS status Started for theBenchmark.p
% 10.13/2.02  % SZS status Unsatisfiable for theBenchmark.p
% 10.13/2.02  
% 10.13/2.02  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.13/2.02  
% 10.13/2.02  % ------  iProver source info
% 10.13/2.02  
% 10.13/2.02  % git: date: 2026-07-19 20:42:38 +0200
% 10.13/2.02  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.13/2.02  % git: non_committed_changes: false
% 10.13/2.02  
% 10.13/2.02  % ------ Parsing...% successful
% 10.13/2.02  
% 10.13/2.02  
% 10.13/2.02  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 10.13/2.02  
% 10.13/2.02  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e % 
% 10.13/2.02  
% 10.13/2.02  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 10.13/2.02  
% 10.13/2.02  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.13/2.02  % ------ Proving...
% 10.13/2.02  % ------ Problem Properties 
% 10.13/2.02  
% 10.13/2.02  % 
% 10.13/2.02  % clauses                               120
% 10.13/2.02  % conjectures                           1
% 10.13/2.02  % EPR                                   15
% 10.13/2.02  % Horn                                  108
% 10.13/2.02  % unary                                 31
% 10.13/2.02  % binary                                58
% 10.13/2.02  % lits                                  254
% 10.13/2.02  % lits eq                               45
% 10.13/2.02  % fd_pure                               0
% 10.13/2.02  % fd_pseudo                             0
% 10.13/2.02  % fd_cond                               5
% 10.13/2.02  % fd_pseudo_cond                        10
% 10.13/2.02  % AC symbols                            0
% 10.13/2.02  
% 10.13/2.02  % ------ Schedule dynamic 5 is on 
% 10.13/2.02  
% 10.13/2.02  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.13/2.02  
% 10.13/2.02  
% 10.13/2.02  % ------ 
% 10.13/2.02  % Current options:
% 10.13/2.02  % ------ 
% 10.13/2.02  
% 10.13/2.02  
% 10.13/2.02  % 
% 10.13/2.02  
% 10.13/2.02  % ------ Proving...
% 10.13/2.02  % 
% 10.13/2.02  
% 10.13/2.02  % SZS status Unsatisfiable for theBenchmark.p
% 10.13/2.02  
% 10.13/2.02  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.13/2.02  
% 10.13/2.02  
%------------------------------------------------------------------------------