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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUM217-1 : 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 02:23:30 PM UTC 2026

% Result   : Unsatisfiable 25.01s 4.21s
% Output   : CNFRefutation 25.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   91 (  29 unt;   1 def)
%            Number of atoms       :  196 (  51 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  135 (  66   ~;  69   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 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  :    6 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   4 con; 0-3 aty)
%            Number of variables   :  127 (   0 sgn 127   !;   0   ?;  70   :)

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

fof(f13,axiom,
    ! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).

fof(f14,axiom,
    ! [X2,X3,X0,X1] :
      ( member(X0,X2)
      | ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).

fof(f17,axiom,
    ! [X2,X0,X1] :
      ( ordered_pair(first(X0),second(X0)) = X0
      | ~ member(X0,cross_product(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).

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(f24,axiom,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | ~ member(X0,complement(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

fof(f28,axiom,
    ! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( ~ member(X1,domain_of(X0))
      | restrict(X0,singleton(X1),universal_class) != null_class ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',domain1) ).

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(f156,axiom,
    ! [X0] : subclass(rest_of(X0),cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM004-0.ax',rest_of1) ).

fof(f157,axiom,
    ! [X2,X0,X1] :
      ( member(X0,domain_of(X2))
      | ~ member(ordered_pair(X0,X1),rest_of(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM004-0.ax',rest_of2) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( rest_of(X0) = X1
      | ~ member(ordered_pair(X0,X1),rest_relation) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM004-0.ax',rest_relation2) ).

fof(f162,axiom,
    ! [X0] :
      ( member(ordered_pair(X0,rest_of(X0)),rest_relation)
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM004-0.ax',rest_relation3) ).

fof(f176,negated_conjecture,
    rest_of(null_class) != null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_rest_defn_1) ).

fof(f177,plain,
    null_class != rest_of(null_class),
    inference(reorient_equations,[],[f176]) ).

fof(f178,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
    inference(definition_unfolding,[],[f13,f12,f12]) ).

fof(f195,plain,
    ! [X2,X3,X0,X1] :
      ( member(X0,X2)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
    inference(definition_unfolding,[],[f14,f178]) ).

fof(f198,plain,
    ! [X2,X0,X1] :
      ( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
      | ~ member(X0,cross_product(X1,X2)) ),
    inference(definition_unfolding,[],[f17,f178]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( ~ member(X1,domain_of(X0))
      | null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)) ),
    inference(definition_unfolding,[],[f30,f28,f12]) ).

fof(f261,plain,
    ! [X2,X0,X1] :
      ( member(X0,domain_of(X2))
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),rest_of(X2)) ),
    inference(definition_unfolding,[],[f157,f178]) ).

fof(f264,plain,
    ! [X0,X1] :
      ( rest_of(X0) = X1
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),rest_relation) ),
    inference(definition_unfolding,[],[f161,f178]) ).

fof(f265,plain,
    ! [X0] :
      ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(rest_of(X0),rest_of(X0)))),rest_relation)
      | ~ member(X0,universal_class) ),
    inference(definition_unfolding,[],[f162,f178]) ).

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_219,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( member(X0,X2)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_222,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 )
      | ~ member(X0,cross_product(X1,X2)) ),
    inference(cnf_transformation,[],[f198]) ).

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

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

tcf(c_232,plain,
    ! [X0: $i,X1: $i] :
      ( ~ member(X1,domain_of(X0))
      | ( intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)) != null_class ) ),
    inference(cnf_transformation,[],[f202]) ).

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_326,plain,
    ! [X0: $i] : subclass(rest_of(X0),cross_product(universal_class,universal_class)),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_327,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,domain_of(X2))
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),rest_of(X2)) ),
    inference(cnf_transformation,[],[f261]) ).

tcf(c_331,plain,
    ! [X0: $i,X1: $i] :
      ( ( rest_of(X0) = X1 )
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),rest_relation) ),
    inference(cnf_transformation,[],[f264]) ).

tcf(c_332,plain,
    ! [X0: $i] :
      ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(rest_of(X0),rest_of(X0)))),rest_relation)
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f265]) ).

tcf(c_343,negated_conjecture,
    rest_of(null_class) != null_class,
    inference(cnf_transformation,[],[f177]) ).

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

tcf(c_2174,plain,
    ! [X0: $i] :
      ( member(null_class,X0)
      | ( X0 != omega ) ),
    inference(resolution_lifted,[status(thm)],[c_564,c_246]) ).

tcf(c_2175,plain,
    member(null_class,omega),
    inference(unflattening,[status(thm)],[c_2174]) ).

tcf(c_4623,definition,
    iPr_def_10 = rest_of(null_class),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_4624,negated_conjecture,
    iPr_def_10 != null_class,
    inference(demodulation,[status(thm)],[c_343,c_4623]) ).

tcf(c_4625,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_4627,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_5806,plain,
    subclass(iPr_def_10,cross_product(universal_class,universal_class)),
    inference(superposition,[status(thm)],[c_4623,c_326]) ).

tcf(c_5930,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subclass(intersection(X0,X1),X2)
      | member(not_subclass_element(intersection(X0,X1),X2),X0) ),
    inference(superposition,[status(thm)],[c_209,c_226]) ).

tcf(c_6028,plain,
    ! [X0: $i,X1: $i] :
      ( subclass(complement(X0),X1)
      | ~ member(not_subclass_element(complement(X0),X1),X0) ),
    inference(superposition,[status(thm)],[c_209,c_229]) ).

tcf(c_6029,plain,
    ! [X0: $i] :
      ( ( complement(X0) = null_class )
      | ~ member(regular(complement(X0)),X0) ),
    inference(superposition,[status(thm)],[c_260,c_229]) ).

tcf(c_6041,plain,
    ( ( complement(universal_class) = null_class )
    | ~ member(regular(complement(universal_class)),universal_class) ),
    inference(instantiation,[status(thm)],[c_6029]) ).

tcf(c_6193,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,cross_product(universal_class,universal_class))
      | ~ member(X0,rest_of(X1)) ),
    inference(superposition,[status(thm)],[c_326,c_208]) ).

tcf(c_6200,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,universal_class)
      | ~ member(X0,X1) ),
    inference(superposition,[status(thm)],[c_211,c_208]) ).

tcf(c_6208,plain,
    ! [X0: $i] :
      ( member(X0,cross_product(universal_class,universal_class))
      | ~ member(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_5806,c_208]) ).

tcf(c_6359,plain,
    ! [X0: $i,X1: $i] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),universal_class) ),
    inference(superposition,[status(thm)],[c_209,c_6200]) ).

tcf(c_6367,plain,
    member(null_class,universal_class),
    inference(superposition,[status(thm)],[c_2175,c_6200]) ).

tcf(c_6538,plain,
    ( member(regular(iPr_def_10),iPr_def_10)
    | ( iPr_def_10 = null_class ) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_6645,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = null_class )
      | ( iPr_def_10 != X0 )
      | ( null_class != X0 ) ),
    inference(instantiation,[status(thm)],[c_4627]) ).

tcf(c_6741,plain,
    ! [X0: $i] :
      ( member(regular(rest_of(X0)),cross_product(universal_class,universal_class))
      | ( rest_of(X0) = null_class ) ),
    inference(superposition,[status(thm)],[c_260,c_6193]) ).

tcf(c_6830,plain,
    ! [X0: $i] : subclass(complement(universal_class),X0),
    inference(superposition,[status(thm)],[c_6359,c_6028]) ).

tcf(c_6880,plain,
    ! [X0: $i] :
      ( ( complement(universal_class) = X0 )
      | ~ subclass(X0,complement(universal_class)) ),
    inference(superposition,[status(thm)],[c_6830,c_214]) ).

tcf(c_6881,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,X1)
      | ~ member(X0,complement(universal_class)) ),
    inference(superposition,[status(thm)],[c_6830,c_208]) ).

tcf(c_6894,plain,
    ! [X0: $i] :
      ( member(regular(complement(universal_class)),X0)
      | ( complement(universal_class) = null_class ) ),
    inference(superposition,[status(thm)],[c_260,c_6881]) ).

tcf(c_6897,plain,
    ( member(regular(complement(universal_class)),universal_class)
    | ( complement(universal_class) = null_class ) ),
    inference(instantiation,[status(thm)],[c_6894]) ).

tcf(c_6931,plain,
    complement(universal_class) = null_class,
    inference(global_subsumption_just,[status(thm)],[c_6894,c_6041,c_6897]) ).

tcf(c_6934,plain,
    ! [X0: $i] :
      ( ( X0 = null_class )
      | ~ subclass(X0,null_class) ),
    inference(demodulation,[status(thm)],[c_6880,c_6931]) ).

tcf(c_7056,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,universal_class)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_6208,c_219]) ).

tcf(c_7408,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,domain_of(null_class))
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_4623,c_327]) ).

tcf(c_7623,plain,
    ( member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(iPr_def_10,iPr_def_10))),rest_relation)
    | ~ member(null_class,universal_class) ),
    inference(superposition,[status(thm)],[c_4623,c_332]) ).

tcf(c_7627,plain,
    member(unordered_pair(unordered_pair(null_class,null_class),unordered_pair(null_class,unordered_pair(iPr_def_10,iPr_def_10))),rest_relation),
    inference(forward_subsumption_resolution,[status(thm)],[c_7623,c_6367]) ).

tcf(c_7672,plain,
    rest_of(null_class) = iPr_def_10,
    inference(superposition,[status(thm)],[c_7627,c_331]) ).

tcf(c_7693,plain,
    ! [X0: $i,X1: $i] : subclass(intersection(X0,X1),X0),
    inference(superposition,[status(thm)],[c_5930,c_210]) ).

tcf(c_7865,plain,
    ! [X0: $i] : intersection(null_class,X0) = null_class,
    inference(superposition,[status(thm)],[c_7693,c_6934]) ).

tcf(c_7887,plain,
    ! [X0: $i] : ~ member(X0,domain_of(null_class)),
    inference(superposition,[status(thm)],[c_7865,c_232]) ).

tcf(c_11142,plain,
    ( member(regular(iPr_def_10),cross_product(universal_class,universal_class))
    | ( rest_of(null_class) = null_class ) ),
    inference(superposition,[status(thm)],[c_7672,c_6741]) ).

tcf(c_11150,plain,
    ( member(regular(iPr_def_10),cross_product(universal_class,universal_class))
    | ( null_class = iPr_def_10 ) ),
    inference(light_normalisation,[status(thm)],[c_11142,c_7672]) ).

tcf(c_11167,plain,
    ( ( null_class = iPr_def_10 )
    | ( unordered_pair(unordered_pair(first(regular(iPr_def_10)),first(regular(iPr_def_10))),unordered_pair(first(regular(iPr_def_10)),unordered_pair(second(regular(iPr_def_10)),second(regular(iPr_def_10))))) = regular(iPr_def_10) ) ),
    inference(superposition,[status(thm)],[c_11150,c_222]) ).

tcf(c_17664,plain,
    iPr_def_10 = iPr_def_10,
    inference(instantiation,[status(thm)],[c_4625]) ).

tcf(c_31973,plain,
    ( ( iPr_def_10 = null_class )
    | ( iPr_def_10 != iPr_def_10 )
    | ( null_class != iPr_def_10 ) ),
    inference(instantiation,[status(thm)],[c_6645]) ).

tcf(c_51540,plain,
    ! [X0: $i,X1: $i] : ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),iPr_def_10),
    inference(global_subsumption_just,[status(thm)],[c_7056,c_7408,c_7887]) ).

tcf(c_51548,plain,
    ( ( null_class = iPr_def_10 )
    | ~ member(regular(iPr_def_10),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_11167,c_51540]) ).

tcf(c_51571,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_51548,c_31973,c_17664,c_6538,c_4624]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM217-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n012.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Thu Sep 24 03:14:06 UTC 2026
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.39  Running first-order theorem proving
% 0.14/0.39  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
% 0.14/0.40  
% 0.14/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40  
% 0.14/0.40  % Detected problem language: tptp
% 0.14/0.41  % Proving...
% 25.01/4.21  % SZS status Started for theBenchmark.p
% 25.01/4.21  % SZS status Unsatisfiable for theBenchmark.p
% 25.01/4.21  
% 25.01/4.21  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 25.01/4.21  
% 25.01/4.21  % ------  iProver source info
% 25.01/4.21  
% 25.01/4.21  % git: date: 2026-07-19 20:42:38 +0200
% 25.01/4.21  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 25.01/4.21  % git: non_committed_changes: false
% 25.01/4.21  
% 25.01/4.21  % ------ Parsing...% successful
% 25.01/4.21  
% 25.01/4.21  
% 25.01/4.21  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 25.01/4.21  
% 25.01/4.21  % ------ 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 % 
% 25.01/4.21  
% 25.01/4.21  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 25.01/4.21  
% 25.01/4.21  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 25.01/4.21  % ------ Proving...
% 25.01/4.21  % ------ Problem Properties 
% 25.01/4.21  
% 25.01/4.21  % 
% 25.01/4.21  % clauses                               116
% 25.01/4.21  % conjectures                           1
% 25.01/4.21  % EPR                                   15
% 25.01/4.21  % Horn                                  104
% 25.01/4.21  % unary                                 27
% 25.01/4.21  % binary                                58
% 25.01/4.21  % lits                                  250
% 25.01/4.21  % lits eq                               41
% 25.01/4.21  % fd_pure                               0
% 25.01/4.21  % fd_pseudo                             0
% 25.01/4.21  % fd_cond                               5
% 25.01/4.21  % fd_pseudo_cond                        10
% 25.01/4.21  % AC symbols                            0
% 25.01/4.21  
% 25.01/4.21  % ------ Schedule dynamic 5 is on 
% 25.01/4.21  
% 25.01/4.21  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 25.01/4.21  
% 25.01/4.21  
% 25.01/4.21  % ------ 
% 25.01/4.21  % Current options:
% 25.01/4.21  % ------ 
% 25.01/4.21  
% 25.01/4.21  
% 25.01/4.21  % 
% 25.01/4.21  
% 25.01/4.21  % ------ Proving...
% 25.01/4.21  % 
% 25.01/4.21  
% 25.01/4.21  % SZS status Unsatisfiable for theBenchmark.p
% 25.01/4.21  
% 25.01/4.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.01/4.21  
% 25.01/4.21  
%------------------------------------------------------------------------------