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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : PUZ030-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n011.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 02:32:45 PM UTC 2026

% Result   : Unsatisfiable 1.95s 6.25s
% Output   : CNFRefutation 1.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  125 (   2 unt;   0 def)
%            Number of atoms       :  320 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  371 ( 176   ~; 195   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   20 (   0 sgn  20   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( salt(X0)
      | ~ both(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both1) ).

fof(f2,axiom,
    ! [X0] :
      ( mustard(X0)
      | ~ both(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both2) ).

fof(f3,axiom,
    ! [X0] :
      ( both(X0)
      | ~ mustard(X0)
      | ~ salt(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both3) ).

fof(f4,axiom,
    ! [X0] :
      ( mustard(X0)
      | salt(X0)
      | ~ oneof(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof1) ).

fof(f5,axiom,
    ! [X0] :
      ( ~ both(X0)
      | ~ oneof(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof2) ).

fof(f7,axiom,
    ! [X0] :
      ( oneof(X0)
      | neither(X0)
      | both(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_condition_holds1) ).

fof(f8,axiom,
    ! [X0] :
      ( ~ mustard(X0)
      | ~ salt(X0)
      | ~ oneof(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof4) ).

fof(f10,axiom,
    ! [X0] :
      ( ~ salt(X0)
      | ~ neither(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither2) ).

fof(f11,axiom,
    ! [X0] :
      ( ~ mustard(X0)
      | ~ neither(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither3) ).

fof(f12,axiom,
    ! [X0] :
      ( neither(X0)
      | mustard(X0)
      | salt(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither4) ).

fof(f14,axiom,
    ( salt(barry)
    | ~ oneof(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_2) ).

fof(f15,axiom,
    ( salt(barry)
    | ~ oneof(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_3) ).

fof(f16,axiom,
    ( both(mill)
    | neither(dix)
    | ~ mustard(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_1) ).

fof(f17,axiom,
    ( mustard(barry)
    | ~ neither(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_2) ).

fof(f18,axiom,
    ( mustard(barry)
    | ~ both(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_3) ).

fof(f19,axiom,
    ( neither(mill)
    | oneof(barry)
    | ~ salt(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3_1) ).

fof(f21,axiom,
    ( salt(cole)
    | ~ neither(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3_3) ).

fof(f22,axiom,
    ( both(lang)
    | both(dix)
    | ~ mustard(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4_1) ).

fof(f24,axiom,
    ( mustard(cole)
    | ~ both(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4_3) ).

fof(f25,axiom,
    ( both(cole)
    | neither(barry)
    | ~ salt(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5_1) ).

fof(f27,axiom,
    ( salt(dix)
    | ~ both(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5_3) ).

fof(f28,axiom,
    ( neither(mill)
    | neither(lang)
    | ~ mustard(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_1) ).

fof(f29,axiom,
    ( mustard(dix)
    | ~ neither(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_2) ).

fof(f30,axiom,
    ( mustard(dix)
    | ~ neither(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_3) ).

fof(f32,axiom,
    ( salt(lang)
    | ~ oneof(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_2) ).

fof(f33,axiom,
    ( salt(lang)
    | ~ oneof(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_3) ).

fof(f34,axiom,
    ( neither(mill)
    | neither(cole)
    | ~ mustard(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_1) ).

fof(f35,axiom,
    ( mustard(lang)
    | ~ neither(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_2) ).

fof(f36,axiom,
    ( mustard(lang)
    | ~ neither(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_3) ).

fof(f37,axiom,
    ( both(lang)
    | both(barry)
    | ~ salt(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_1) ).

fof(f38,axiom,
    ( salt(mill)
    | ~ both(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_2) ).

fof(f39,axiom,
    ( mustard(mill)
    | ~ both(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_3) ).

fof(f40,axiom,
    ( oneof(dix)
    | oneof(cole)
    | ~ mustard(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10_1) ).

fof(f41,axiom,
    ( mustard(mill)
    | ~ oneof(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10_2) ).

fof(f43,negated_conjecture,
    ( ~ oneof(mill)
    | ~ mustard(lang)
    | ~ salt(mill)
    | ~ oneof(lang)
    | ~ both(barry)
    | ~ neither(dix)
    | ~ neither(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_who_takes_what) ).

tcf(c_93,plain,
    ( salt(barry)
    | ~ oneof(cole) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_94,plain,
    ( salt(barry)
    | ~ oneof(lang) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_95,plain,
    ( neither(dix)
    | both(mill)
    | ~ mustard(barry) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_96,plain,
    ( mustard(barry)
    | ~ neither(dix) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_97,plain,
    ( mustard(barry)
    | ~ both(mill) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_98,plain,
    ( neither(mill)
    | oneof(barry)
    | ~ salt(cole) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_100,plain,
    ( salt(cole)
    | ~ neither(mill) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_101,plain,
    ( both(dix)
    | both(lang)
    | ~ mustard(cole) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_103,plain,
    ( mustard(cole)
    | ~ both(lang) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_104,plain,
    ( neither(barry)
    | both(cole)
    | ~ salt(dix) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_106,plain,
    ( salt(dix)
    | ~ both(cole) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_107,plain,
    ( neither(mill)
    | neither(lang)
    | ~ mustard(dix) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_108,plain,
    ( mustard(dix)
    | ~ neither(lang) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_109,plain,
    ( mustard(dix)
    | ~ neither(mill) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_111,plain,
    ( salt(lang)
    | ~ oneof(barry) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_112,plain,
    ( salt(lang)
    | ~ oneof(dix) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_113,plain,
    ( neither(mill)
    | neither(cole)
    | ~ mustard(lang) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_114,plain,
    ( mustard(lang)
    | ~ neither(cole) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_115,plain,
    ( mustard(lang)
    | ~ neither(mill) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_116,plain,
    ( both(lang)
    | both(barry)
    | ~ salt(mill) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_117,plain,
    ( salt(mill)
    | ~ both(barry) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_118,plain,
    ( mustard(mill)
    | ~ both(lang) ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_119,plain,
    ( oneof(dix)
    | oneof(cole)
    | ~ mustard(mill) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_120,plain,
    ( mustard(mill)
    | ~ oneof(cole) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_122,negated_conjecture,
    ( ~ neither(dix)
    | ~ neither(cole)
    | ~ oneof(mill)
    | ~ oneof(lang)
    | ~ mustard(lang)
    | ~ salt(mill)
    | ~ both(barry) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_123,plain,
    ! [X0: $i] :
      ( neither(X0)
      | mustard(X0)
      | salt(X0) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_124,plain,
    ! [X0: $i] :
      ( ~ neither(X0)
      | ~ salt(X0) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_125,plain,
    ! [X0: $i] :
      ( ~ oneof(X0)
      | ~ mustard(X0)
      | ~ salt(X0) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_126,plain,
    ! [X0: $i] :
      ( mustard(X0)
      | salt(X0)
      | ~ oneof(X0) ),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_127,plain,
    ! [X0: $i] :
      ( both(X0)
      | ~ mustard(X0)
      | ~ salt(X0) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_128,plain,
    ! [X0: $i] :
      ( salt(X0)
      | ~ both(X0) ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_129,plain,
    ! [X0: $i] :
      ( neither(X0)
      | oneof(X0)
      | both(X0) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_131,plain,
    ! [X0: $i] :
      ( ~ oneof(X0)
      | ~ both(X0) ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_133,plain,
    ! [X0: $i] :
      ( mustard(X0)
      | ~ both(X0) ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_134,plain,
    ! [X0: $i] :
      ( ~ neither(X0)
      | ~ mustard(X0) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_135,plain,
    ( mustard(lang)
    | ~ both(lang) ),
    inference(instantiation,[status(thm)],[c_133]) ).

tcf(c_139,plain,
    ( ~ oneof(lang)
    | ~ both(lang) ),
    inference(instantiation,[status(thm)],[c_131]) ).

tcf(c_141,plain,
    ( neither(lang)
    | oneof(lang)
    | both(lang) ),
    inference(instantiation,[status(thm)],[c_129]) ).

tcf(c_142,plain,
    ( ~ neither(lang)
    | ~ salt(lang) ),
    inference(instantiation,[status(thm)],[c_124]) ).

tcf(c_145,plain,
    ( both(lang)
    | ~ mustard(lang)
    | ~ salt(lang) ),
    inference(instantiation,[status(thm)],[c_127]) ).

tcf(c_147,negated_conjecture,
    ( ~ neither(dix)
    | ~ neither(cole)
    | ~ oneof(mill)
    | ~ oneof(lang)
    | ~ salt(mill) ),
    inference(global_subsumption_just,[status(thm)],[c_122,c_114,c_139,c_116,c_122]) ).

tcf(c_378,plain,
    ( oneof(dix)
    | oneof(cole)
    | ~ both(lang) ),
    inference(resolution,[status(thm)],[c_118,c_119]) ).

tcf(c_414,plain,
    ( neither(dix)
    | both(mill)
    | ~ both(barry) ),
    inference(resolution,[status(thm)],[c_133,c_95]) ).

tcf(c_424,plain,
    ( ~ neither(barry)
    | ~ both(mill) ),
    inference(resolution,[status(thm)],[c_134,c_97]) ).

tcf(c_438,plain,
    ( ~ oneof(barry)
    | ~ salt(barry)
    | ~ both(mill) ),
    inference(resolution,[status(thm)],[c_125,c_97]) ).

tcf(c_448,plain,
    ( ~ neither(dix)
    | ~ oneof(barry)
    | ~ salt(barry) ),
    inference(resolution,[status(thm)],[c_125,c_96]) ).

tcf(c_468,plain,
    ( both(barry)
    | ~ neither(dix)
    | ~ salt(barry) ),
    inference(resolution,[status(thm)],[c_127,c_96]) ).

tcf(c_478,plain,
    ( neither(cole)
    | salt(cole)
    | both(dix)
    | both(lang) ),
    inference(resolution,[status(thm)],[c_123,c_101]) ).

tcf(c_479,plain,
    ( neither(cole)
    | salt(cole)
    | both(dix) ),
    inference(global_subsumption_just,[status(thm)],[c_478,c_135,c_100,c_113,c_478]) ).

tcf(c_490,plain,
    ( salt(cole)
    | both(dix)
    | both(lang)
    | ~ oneof(cole) ),
    inference(resolution,[status(thm)],[c_126,c_101]) ).

tcf(c_503,plain,
    ( both(dix)
    | both(lang)
    | ~ both(cole) ),
    inference(resolution,[status(thm)],[c_133,c_101]) ).

tcf(c_513,plain,
    ( ~ neither(cole)
    | ~ both(lang) ),
    inference(resolution,[status(thm)],[c_134,c_103]) ).

tcf(c_527,plain,
    ( ~ oneof(cole)
    | ~ salt(cole)
    | ~ both(lang) ),
    inference(resolution,[status(thm)],[c_125,c_103]) ).

tcf(c_528,plain,
    ( ~ oneof(cole)
    | ~ both(lang) ),
    inference(global_subsumption_just,[status(thm)],[c_527,c_135,c_100,c_113,c_513,c_527]) ).

tcf(c_537,plain,
    ( oneof(dix)
    | ~ both(lang) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_378,c_528]) ).

tcf(c_548,plain,
    ( both(cole)
    | ~ salt(cole)
    | ~ both(lang) ),
    inference(resolution,[status(thm)],[c_127,c_103]) ).

tcf(c_549,plain,
    ( both(cole)
    | ~ both(lang) ),
    inference(global_subsumption_just,[status(thm)],[c_548,c_135,c_100,c_113,c_513,c_548]) ).

tcf(c_567,plain,
    ( neither(mill)
    | neither(dix)
    | neither(lang)
    | salt(dix) ),
    inference(resolution,[status(thm)],[c_123,c_107]) ).

tcf(c_580,plain,
    ( neither(mill)
    | neither(lang)
    | salt(dix)
    | ~ oneof(dix) ),
    inference(resolution,[status(thm)],[c_126,c_107]) ).

tcf(c_581,plain,
    ( salt(dix)
    | ~ oneof(dix) ),
    inference(global_subsumption_just,[status(thm)],[c_580,c_115,c_112,c_106,c_142,c_145,c_549,c_580]) ).

tcf(c_589,plain,
    ( neither(mill)
    | neither(lang)
    | ~ both(dix) ),
    inference(resolution,[status(thm)],[c_133,c_107]) ).

tcf(c_599,plain,
    ( ~ neither(mill)
    | ~ neither(dix) ),
    inference(resolution,[status(thm)],[c_134,c_109]) ).

tcf(c_606,plain,
    ( ~ neither(dix)
    | ~ neither(lang) ),
    inference(resolution,[status(thm)],[c_134,c_108]) ).

tcf(c_613,plain,
    ( ~ neither(mill)
    | ~ oneof(dix)
    | ~ salt(dix) ),
    inference(resolution,[status(thm)],[c_125,c_109]) ).

tcf(c_614,plain,
    ( ~ neither(mill)
    | ~ oneof(dix) ),
    inference(global_subsumption_just,[status(thm)],[c_613,c_581,c_613]) ).

tcf(c_622,plain,
    ( ~ neither(lang)
    | ~ oneof(dix)
    | ~ salt(dix) ),
    inference(resolution,[status(thm)],[c_125,c_108]) ).

tcf(c_623,plain,
    ( ~ neither(lang)
    | ~ oneof(dix) ),
    inference(global_subsumption_just,[status(thm)],[c_622,c_112,c_142]) ).

tcf(c_676,plain,
    ( neither(mill)
    | neither(cole)
    | ~ both(lang) ),
    inference(resolution,[status(thm)],[c_133,c_113]) ).

tcf(c_677,plain,
    ~ both(lang),
    inference(global_subsumption_just,[status(thm)],[c_676,c_513,c_537,c_614,c_676]) ).

tcf(c_682,plain,
    ( both(dix)
    | ~ both(cole) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_503,c_677]) ).

tcf(c_683,plain,
    ( ~ neither(mill)
    | ~ neither(lang) ),
    inference(resolution,[status(thm)],[c_134,c_115]) ).

tcf(c_697,plain,
    ( ~ neither(mill)
    | ~ oneof(lang)
    | ~ salt(lang) ),
    inference(resolution,[status(thm)],[c_125,c_115]) ).

tcf(c_698,plain,
    ( ~ neither(mill)
    | ~ salt(lang) ),
    inference(global_subsumption_just,[status(thm)],[c_697,c_115,c_145,c_513,c_537,c_614,c_676]) ).

tcf(c_706,plain,
    ( ~ neither(cole)
    | ~ oneof(lang)
    | ~ salt(lang) ),
    inference(resolution,[status(thm)],[c_125,c_114]) ).

tcf(c_707,plain,
    ( ~ neither(cole)
    | ~ salt(lang) ),
    inference(global_subsumption_just,[status(thm)],[c_706,c_114,c_145,c_513,c_537,c_614,c_676]) ).

tcf(c_730,plain,
    ( oneof(dix)
    | oneof(cole)
    | salt(mill)
    | ~ oneof(mill) ),
    inference(resolution,[status(thm)],[c_126,c_119]) ).

tcf(c_743,plain,
    ( oneof(dix)
    | oneof(cole)
    | ~ both(mill) ),
    inference(resolution,[status(thm)],[c_133,c_119]) ).

tcf(c_744,plain,
    ( ~ both(mill)
    | oneof(cole) ),
    inference(global_subsumption_just,[status(thm)],[c_743,c_104,c_424,c_503,c_513,c_537,c_581,c_589,c_614,c_623,c_676,c_743]) ).

tcf(c_745,plain,
    ( oneof(cole)
    | ~ both(mill) ),
    inference(renaming,[status(thm)],[c_744]) ).

tcf(c_753,plain,
    ( ~ neither(mill)
    | ~ oneof(cole) ),
    inference(resolution,[status(thm)],[c_134,c_120]) ).

tcf(c_770,plain,
    ( ~ oneof(mill)
    | ~ oneof(cole)
    | ~ salt(mill) ),
    inference(resolution,[status(thm)],[c_125,c_120]) ).

tcf(c_771,plain,
    ( ~ oneof(mill)
    | ~ salt(mill) ),
    inference(global_subsumption_just,[status(thm)],[c_770,c_94,c_141,c_116,c_98,c_147,c_414,c_448,c_479,c_589,c_599,c_606,c_677,c_745,c_770]) ).

tcf(c_778,plain,
    ( oneof(dix)
    | oneof(cole)
    | ~ oneof(mill) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_730,c_771]) ).

tcf(c_894,plain,
    ( salt(dix)
    | ~ both(dix) ),
    inference(instantiation,[status(thm)],[c_128]) ).

tcf(c_895,plain,
    ( ~ neither(barry)
    | ~ salt(barry) ),
    inference(instantiation,[status(thm)],[c_124]) ).

tcf(c_898,plain,
    ( neither(mill)
    | oneof(mill)
    | both(mill) ),
    inference(instantiation,[status(thm)],[c_129]) ).

tcf(c_899,plain,
    ( neither(barry)
    | oneof(barry)
    | both(barry) ),
    inference(instantiation,[status(thm)],[c_129]) ).

tcf(c_900,plain,
    ( neither(cole)
    | oneof(cole)
    | both(cole) ),
    inference(instantiation,[status(thm)],[c_129]) ).

tcf(c_902,plain,
    ( ~ oneof(cole)
    | ~ both(cole) ),
    inference(instantiation,[status(thm)],[c_131]) ).

tcf(c_904,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_902,c_900,c_899,c_898,c_895,c_894,c_778,c_771,c_753,c_745,c_707,c_698,c_683,c_682,c_677,c_623,c_614,c_599,c_589,c_567,c_490,c_468,c_438,c_414,c_98,c_104,c_142,c_141,c_93,c_94,c_111,c_112,c_117]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : PUZ030-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.39  % Computer : n011.cluster.edu
% 0.12/5.39  % Model    : x86_64 x86_64
% 0.12/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39  % Memory   : 8046.5625MB
% 0.12/5.39  % OS       : Linux 6.8.0-71-generic
% 0.12/5.39  % CPULimit : 300
% 0.12/5.39  % WCLimit  : 300
% 0.12/5.39  % DateTime : Thu Sep 24 06:42:33 UTC 2026
% 0.12/5.40  % CPUTime  : 
% 0.15/5.40  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.43  Running EPR theorem proving
% 0.15/5.43  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.44  
% 0.15/5.44  % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.44  
% 0.15/5.44  % Detected problem language: tptp
% 0.15/5.46  % Proving...
% 1.95/6.25  % SZS status Started for theBenchmark.p
% 1.95/6.25  % SZS status Unsatisfiable for theBenchmark.p
% 1.95/6.25  
% 1.95/6.25  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.95/6.25  
% 1.95/6.25  % ------  iProver source info
% 1.95/6.25  
% 1.95/6.25  % git: date: 2026-07-19 20:42:38 +0200
% 1.95/6.25  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.95/6.25  % git: non_committed_changes: false
% 1.95/6.25  
% 1.95/6.25  % ------ Parsing...% successful
% 1.95/6.25  
% 1.95/6.25  
% 1.95/6.25  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 1.95/6.25  % 
% 1.95/6.25  
% 1.95/6.25  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe_e % 
% 1.95/6.25  
% 1.95/6.25  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 1.95/6.25   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.95/6.25  % ------ Proving...
% 1.95/6.25  % ------ Problem Properties 
% 1.95/6.25  
% 1.95/6.25  % 
% 1.95/6.25  % clauses                               58
% 1.95/6.25  % conjectures                           0
% 1.95/6.25  % EPR                                   58
% 1.95/6.25  % Horn                                  42
% 1.95/6.25  % unary                                 1
% 1.95/6.25  % binary                                33
% 1.95/6.25  % lits                                  145
% 1.95/6.25  % lits eq                               0
% 1.95/6.25  % fd_pure                               0
% 1.95/6.25  % fd_pseudo                             0
% 1.95/6.25  % fd_cond                               0
% 1.95/6.25  % fd_pseudo_cond                        0
% 1.95/6.25  % AC symbols                            0
% 1.95/6.25  
% 1.95/6.25  % ------ Schedule EPR non Horn non eq is on
% 1.95/6.25  
% 1.95/6.25  % ------ no conjectures: strip conj schedule 
% 1.95/6.25  
% 1.95/6.25  % ------ no equalities: superposition off 
% 1.95/6.25  
% 1.95/6.25  % ------ Input Options "--resolution_flag false" stripped conjectures Time Limit: 70.
% 1.95/6.25  
% 1.95/6.25  
% 1.95/6.25  % ------ 
% 1.95/6.25  % Current options:
% 1.95/6.25  % ------ 
% 1.95/6.25  
% 1.95/6.25  
% 1.95/6.25  % 
% 1.95/6.25  
% 1.95/6.25  % ------ Proving...
% 1.95/6.25  % 
% 1.95/6.25  
% 1.95/6.25  % SZS status Unsatisfiable for theBenchmark.p
% 1.95/6.25  
% 1.95/6.25  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.95/6.25  
% 1.95/6.25  
%------------------------------------------------------------------------------