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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU257+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n009.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 02:56:23 PM UTC 2026

% Result   : Theorem 2.29s 16.33s
% Output   : CNFRefutation 2.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :  103 (  25 unt;   1 def)
%            Number of atoms       :  328 (   7 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  358 ( 165   ~; 151   |;  24   &)
%                                         (   2 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   8 usr;   2 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   88 (   0 sgn  84   !;   4   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0] :
      ( relation(X0)
     => ( well_ordering(X0)
      <=> ( well_founded_relation(X0)
          & connected(X0)
          & antisymmetric(X0)
          & transitive(X0)
          & reflexive(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_restriction(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_wellord1) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ( reflexive(X1)
       => reflexive(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_wellord1) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ( connected(X1)
       => connected(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_wellord1) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ( transitive(X1)
       => transitive(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_wellord1) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ( antisymmetric(X1)
       => antisymmetric(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_wellord1) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ( well_founded_relation(X1)
       => well_founded_relation(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_wellord1) ).

fof(f13,conjecture,
    ! [X0,X1] :
      ( relation(X1)
     => ( well_ordering(X1)
       => well_ordering(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_wellord1) ).

fof(f14,negated_conjecture,
    ~ ! [X0,X1] :
        ( relation(X1)
       => ( well_ordering(X1)
         => well_ordering(relation_restriction(X1,X0)) ) ),
    inference(negated_conjecture,[status(cth)],[f13]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ( well_ordering(X0)
      <=> ( well_founded_relation(X0)
          & connected(X0)
          & antisymmetric(X0)
          & transitive(X0)
          & reflexive(X0) ) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation(relation_restriction(X0,X1)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ reflexive(X1)
      | reflexive(relation_restriction(X1,X0)) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ reflexive(X1)
      | reflexive(relation_restriction(X1,X0)) ),
    inference(flattening,[],[f19]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ connected(X1)
      | connected(relation_restriction(X1,X0)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ connected(X1)
      | connected(relation_restriction(X1,X0)) ),
    inference(flattening,[],[f21]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ transitive(X1)
      | transitive(relation_restriction(X1,X0)) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ transitive(X1)
      | transitive(relation_restriction(X1,X0)) ),
    inference(flattening,[],[f23]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ antisymmetric(X1)
      | antisymmetric(relation_restriction(X1,X0)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ antisymmetric(X1)
      | antisymmetric(relation_restriction(X1,X0)) ),
    inference(flattening,[],[f25]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ well_founded_relation(X1)
      | well_founded_relation(relation_restriction(X1,X0)) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ well_founded_relation(X1)
      | well_founded_relation(relation_restriction(X1,X0)) ),
    inference(flattening,[],[f27]) ).

fof(f29,plain,
    ? [X0,X1] :
      ( relation(X1)
      & well_ordering(X1)
      & ~ well_ordering(relation_restriction(X1,X0)) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f30,plain,
    ? [X0,X1] :
      ( relation(X1)
      & well_ordering(X1)
      & ~ well_ordering(relation_restriction(X1,X0)) ),
    inference(flattening,[],[f29]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ( ( ~ well_ordering(X0)
          | ( well_founded_relation(X0)
            & connected(X0)
            & antisymmetric(X0)
            & transitive(X0)
            & reflexive(X0) ) )
        & ( ~ well_founded_relation(X0)
          | ~ connected(X0)
          | ~ antisymmetric(X0)
          | ~ transitive(X0)
          | ~ reflexive(X0)
          | well_ordering(X0) ) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ( ( ~ well_ordering(X0)
          | ( well_founded_relation(X0)
            & connected(X0)
            & antisymmetric(X0)
            & transitive(X0)
            & reflexive(X0) ) )
        & ( ~ well_founded_relation(X0)
          | ~ connected(X0)
          | ~ antisymmetric(X0)
          | ~ transitive(X0)
          | ~ reflexive(X0)
          | well_ordering(X0) ) ) ),
    inference(flattening,[],[f31]) ).

fof(f33,plain,
    ( relation(sK1)
    & well_ordering(sK1)
    & ~ well_ordering(relation_restriction(sK1,sK0)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f30]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ well_ordering(X0)
      | well_founded_relation(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ well_ordering(X0)
      | connected(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f37,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ well_ordering(X0)
      | antisymmetric(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f38,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ well_ordering(X0)
      | transitive(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ well_ordering(X0)
      | reflexive(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f40,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ well_founded_relation(X0)
      | ~ connected(X0)
      | ~ antisymmetric(X0)
      | ~ transitive(X0)
      | ~ reflexive(X0)
      | well_ordering(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation(relation_restriction(X0,X1)) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ reflexive(X1)
      | reflexive(relation_restriction(X1,X0)) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ connected(X1)
      | connected(relation_restriction(X1,X0)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ transitive(X1)
      | transitive(relation_restriction(X1,X0)) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ antisymmetric(X1)
      | antisymmetric(relation_restriction(X1,X0)) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ well_founded_relation(X1)
      | well_founded_relation(relation_restriction(X1,X0)) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f49,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f33]) ).

fof(f50,plain,
    well_ordering(sK1),
    inference(cnf_transformation,[],[f33]) ).

fof(f51,plain,
    ~ well_ordering(relation_restriction(sK1,sK0)),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_50,plain,
    ! [X0: $i] :
      ( well_ordering(X0)
      | ~ relation(X0)
      | ~ well_founded_relation(X0)
      | ~ connected(X0)
      | ~ antisymmetric(X0)
      | ~ transitive(X0)
      | ~ reflexive(X0) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_51,plain,
    ! [X0: $i] :
      ( reflexive(X0)
      | ~ relation(X0)
      | ~ well_ordering(X0) ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_52,plain,
    ! [X0: $i] :
      ( transitive(X0)
      | ~ relation(X0)
      | ~ well_ordering(X0) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_53,plain,
    ! [X0: $i] :
      ( antisymmetric(X0)
      | ~ relation(X0)
      | ~ well_ordering(X0) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_54,plain,
    ! [X0: $i] :
      ( connected(X0)
      | ~ relation(X0)
      | ~ well_ordering(X0) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_55,plain,
    ! [X0: $i] :
      ( well_founded_relation(X0)
      | ~ relation(X0)
      | ~ well_ordering(X0) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] :
      ( relation(relation_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i] :
      ( reflexive(relation_restriction(X0,X1))
      | ~ relation(X0)
      | ~ reflexive(X0) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i] :
      ( connected(relation_restriction(X0,X1))
      | ~ relation(X0)
      | ~ connected(X0) ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i] :
      ( transitive(relation_restriction(X0,X1))
      | ~ relation(X0)
      | ~ transitive(X0) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i] :
      ( antisymmetric(relation_restriction(X0,X1))
      | ~ relation(X0)
      | ~ antisymmetric(X0) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( well_founded_relation(relation_restriction(X0,X1))
      | ~ relation(X0)
      | ~ well_founded_relation(X0) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_64,negated_conjecture,
    ~ well_ordering(relation_restriction(sK1,sK0)),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_65,negated_conjecture,
    well_ordering(sK1),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_66,negated_conjecture,
    relation(sK1),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_69,plain,
    ( well_founded_relation(sK1)
    | ~ relation(sK1)
    | ~ well_ordering(sK1) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_70,plain,
    ( connected(sK1)
    | ~ relation(sK1)
    | ~ well_ordering(sK1) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_71,plain,
    ( antisymmetric(sK1)
    | ~ relation(sK1)
    | ~ well_ordering(sK1) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_72,plain,
    ( transitive(sK1)
    | ~ relation(sK1)
    | ~ well_ordering(sK1) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_73,plain,
    ( reflexive(sK1)
    | ~ relation(sK1)
    | ~ well_ordering(sK1) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_275,plain,
    ! [X0: $i] :
      ( ~ relation(X0)
      | ~ well_founded_relation(X0)
      | ~ connected(X0)
      | ~ antisymmetric(X0)
      | ~ transitive(X0)
      | ~ reflexive(X0)
      | ( relation_restriction(sK1,sK0) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_64]) ).

tcf(c_276,plain,
    ( ~ relation(relation_restriction(sK1,sK0))
    | ~ well_founded_relation(relation_restriction(sK1,sK0))
    | ~ connected(relation_restriction(sK1,sK0))
    | ~ antisymmetric(relation_restriction(sK1,sK0))
    | ~ transitive(relation_restriction(sK1,sK0))
    | ~ reflexive(relation_restriction(sK1,sK0)) ),
    inference(unflattening,[status(thm)],[c_275]) ).

tcf(c_295,plain,
    ! [X0: $i] :
      ( well_founded_relation(X0)
      | ~ relation(X0)
      | ( X0 != sK1 ) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_65]) ).

tcf(c_296,plain,
    ( well_founded_relation(sK1)
    | ~ relation(sK1) ),
    inference(unflattening,[status(thm)],[c_295]) ).

tcf(c_297,plain,
    well_founded_relation(sK1),
    inference(global_subsumption_just,[status(thm)],[c_296,c_66,c_65,c_69]) ).

tcf(c_302,plain,
    ! [X0: $i] :
      ( connected(X0)
      | ~ relation(X0)
      | ( X0 != sK1 ) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_65]) ).

tcf(c_303,plain,
    ( connected(sK1)
    | ~ relation(sK1) ),
    inference(unflattening,[status(thm)],[c_302]) ).

tcf(c_304,plain,
    connected(sK1),
    inference(global_subsumption_just,[status(thm)],[c_303,c_66,c_65,c_70]) ).

tcf(c_309,plain,
    ! [X0: $i] :
      ( antisymmetric(X0)
      | ~ relation(X0)
      | ( X0 != sK1 ) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_65]) ).

tcf(c_310,plain,
    ( antisymmetric(sK1)
    | ~ relation(sK1) ),
    inference(unflattening,[status(thm)],[c_309]) ).

tcf(c_311,plain,
    antisymmetric(sK1),
    inference(global_subsumption_just,[status(thm)],[c_310,c_66,c_65,c_71]) ).

tcf(c_316,plain,
    ! [X0: $i] :
      ( transitive(X0)
      | ~ relation(X0)
      | ( X0 != sK1 ) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_65]) ).

tcf(c_317,plain,
    ( transitive(sK1)
    | ~ relation(sK1) ),
    inference(unflattening,[status(thm)],[c_316]) ).

tcf(c_318,plain,
    transitive(sK1),
    inference(global_subsumption_just,[status(thm)],[c_317,c_66,c_65,c_72]) ).

tcf(c_323,plain,
    ! [X0: $i] :
      ( reflexive(X0)
      | ~ relation(X0)
      | ( X0 != sK1 ) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_65]) ).

tcf(c_324,plain,
    ( reflexive(sK1)
    | ~ relation(sK1) ),
    inference(unflattening,[status(thm)],[c_323]) ).

tcf(c_325,plain,
    reflexive(sK1),
    inference(global_subsumption_just,[status(thm)],[c_324,c_66,c_65,c_73]) ).

tcf(c_473,definition,
    iPr_def_10 = relation_restriction(sK1,sK0),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_475,plain,
    reflexive(sK1),
    inference(demodulation,[status(thm)],[c_325]) ).

tcf(c_476,plain,
    transitive(sK1),
    inference(demodulation,[status(thm)],[c_318]) ).

tcf(c_477,plain,
    antisymmetric(sK1),
    inference(demodulation,[status(thm)],[c_311]) ).

tcf(c_478,plain,
    connected(sK1),
    inference(demodulation,[status(thm)],[c_304]) ).

tcf(c_479,plain,
    well_founded_relation(sK1),
    inference(demodulation,[status(thm)],[c_297]) ).

tcf(c_480,plain,
    ( ~ relation(iPr_def_10)
    | ~ well_founded_relation(iPr_def_10)
    | ~ connected(iPr_def_10)
    | ~ antisymmetric(iPr_def_10)
    | ~ transitive(iPr_def_10)
    | ~ reflexive(iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_276]) ).

tcf(c_481,negated_conjecture,
    relation(sK1),
    inference(demodulation,[status(thm)],[c_66]) ).

tcf(c_756,plain,
    ( relation(iPr_def_10)
    | ~ relation(sK1) ),
    inference(superposition,[status(thm)],[c_473,c_57]) ).

tcf(c_757,plain,
    relation(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_756,c_481]) ).

tcf(c_758,plain,
    ( ~ well_founded_relation(iPr_def_10)
    | ~ connected(iPr_def_10)
    | ~ antisymmetric(iPr_def_10)
    | ~ transitive(iPr_def_10)
    | ~ reflexive(iPr_def_10) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_480,c_757]) ).

tcf(c_770,plain,
    ( reflexive(iPr_def_10)
    | ~ relation(sK1)
    | ~ reflexive(sK1) ),
    inference(superposition,[status(thm)],[c_473,c_59]) ).

tcf(c_771,plain,
    reflexive(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_770,c_481,c_475]) ).

tcf(c_778,plain,
    ( connected(iPr_def_10)
    | ~ relation(sK1)
    | ~ connected(sK1) ),
    inference(superposition,[status(thm)],[c_473,c_60]) ).

tcf(c_779,plain,
    connected(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_778,c_481,c_478]) ).

tcf(c_780,plain,
    ( ~ well_founded_relation(iPr_def_10)
    | ~ transitive(iPr_def_10)
    | ~ antisymmetric(iPr_def_10) ),
    inference(global_subsumption_just,[status(thm)],[c_758,c_480,c_757,c_771,c_779]) ).

tcf(c_781,plain,
    ( ~ well_founded_relation(iPr_def_10)
    | ~ antisymmetric(iPr_def_10)
    | ~ transitive(iPr_def_10) ),
    inference(renaming,[status(thm)],[c_780]) ).

tcf(c_794,plain,
    ( transitive(iPr_def_10)
    | ~ relation(sK1)
    | ~ transitive(sK1) ),
    inference(superposition,[status(thm)],[c_473,c_61]) ).

tcf(c_795,plain,
    transitive(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_794,c_481,c_476]) ).

tcf(c_796,plain,
    ( ~ well_founded_relation(iPr_def_10)
    | ~ antisymmetric(iPr_def_10) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_781,c_795]) ).

tcf(c_809,plain,
    ( antisymmetric(iPr_def_10)
    | ~ relation(sK1)
    | ~ antisymmetric(sK1) ),
    inference(superposition,[status(thm)],[c_473,c_62]) ).

tcf(c_810,plain,
    antisymmetric(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_809,c_481,c_477]) ).

tcf(c_811,plain,
    ~ well_founded_relation(iPr_def_10),
    inference(backward_subsumption_resolution,[status(thm)],[c_796,c_810]) ).

tcf(c_818,plain,
    ( well_founded_relation(iPr_def_10)
    | ~ relation(sK1)
    | ~ well_founded_relation(sK1) ),
    inference(superposition,[status(thm)],[c_473,c_63]) ).

tcf(c_819,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_818,c_811,c_481,c_479]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU257+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/15.39  % Computer : n009.cluster.edu
% 0.12/15.39  % Model    : x86_64 x86_64
% 0.12/15.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.39  % Memory   : 8046.5625MB
% 0.12/15.39  % OS       : Linux 6.8.0-71-generic
% 0.12/15.39  % CPULimit : 300
% 0.12/15.39  % WCLimit  : 300
% 0.12/15.39  % DateTime : Thu Sep 24 13:26:15 UTC 2026
% 0.12/15.39  % CPUTime  : 
% 0.12/15.39  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/15.43  Running first-order theorem proving
% 0.16/15.44  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
% 0.16/15.45  
% 0.16/15.45  % ======== iProver multi-core TPTP/SMT =========
% 0.16/15.45  
% 0.16/15.45  % Detected problem language: tptp
% 0.16/15.46  % Proving...
% 2.29/16.33  % SZS status Started for theBenchmark.p
% 2.29/16.33  % SZS status Theorem for theBenchmark.p
% 2.29/16.33  
% 2.29/16.33  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.29/16.33  
% 2.29/16.33  % ------  iProver source info
% 2.29/16.33  
% 2.29/16.33  % git: date: 2026-07-19 20:42:38 +0200
% 2.29/16.33  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.29/16.33  % git: non_committed_changes: false
% 2.29/16.33  
% 2.29/16.33  % ------ Parsing...
% 2.29/16.33  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.29/16.33  
% 2.29/16.33  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 2.29/16.33  
% 2.29/16.33  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.29/16.33  
% 2.29/16.33  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.29/16.33  % ------ Proving...
% 2.29/16.33  % ------ Problem Properties 
% 2.29/16.33  
% 2.29/16.33  % 
% 2.29/16.33  % clauses                               18
% 2.29/16.33  % conjectures                           1
% 2.29/16.33  % EPR                                   8
% 2.29/16.33  % Horn                                  18
% 2.29/16.33  % unary                                 10
% 2.29/16.33  % binary                                2
% 2.29/16.33  % lits                                  35
% 2.29/16.33  % lits eq                               5
% 2.29/16.33  % fd_pure                               0
% 2.29/16.33  % fd_pseudo                             0
% 2.29/16.33  % fd_cond                               0
% 2.29/16.33  % fd_pseudo_cond                        0
% 2.29/16.33  % AC symbols                            0
% 2.29/16.33  
% 2.29/16.33  % ------ Schedule dynamic 5 is on 
% 2.29/16.33  
% 2.29/16.33  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.29/16.33  
% 2.29/16.33  
% 2.29/16.33  % ------ 
% 2.29/16.33  % Current options:
% 2.29/16.33  % ------ 
% 2.29/16.33  
% 2.29/16.33  
% 2.29/16.33  % 
% 2.29/16.33  
% 2.29/16.33  % ------ Proving...
% 2.29/16.33  % 
% 2.29/16.33  
% 2.29/16.33  % SZS status Theorem for theBenchmark.p
% 2.29/16.33  
% 2.29/16.33  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.29/16.33  
% 2.29/16.33  
%------------------------------------------------------------------------------