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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KLE034+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/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 01:52:14 PM UTC 2026

% Result   : Theorem 3.30s 1.22s
% Output   : CNFRefutation 3.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  104 (  78 unt;  10 def)
%            Number of atoms       :  256 ( 101 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  111 (  41   ~;  30   |;  33   &)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   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  :   15 (  13 usr;  11 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :  107 (   0 sgn  97   !;  10   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).

fof(f2,axiom,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).

fof(f5,axiom,
    ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).

fof(f9,axiom,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).

fof(f11,axiom,
    ! [X0] : multiplication(zero,X0) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> addition(X0,X1) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',order) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( complement(X1,X0)
    <=> ( addition(X0,X1) = one
        & multiplication(X1,X0) = zero
        & multiplication(X0,X1) = zero ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( test(X0)
     => ( c(X0) = X1
      <=> complement(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).

fof(f17,conjecture,
    ! [X0,X1,X2,X3,X4] :
      ( ( leq(multiplication(multiplication(X3,X1),c(X4)),zero)
        & leq(multiplication(multiplication(X2,X0),c(X3)),zero)
        & test(X4)
        & test(X2)
        & test(X3) )
     => leq(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f18,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4] :
        ( ( leq(multiplication(multiplication(X3,X1),c(X4)),zero)
          & leq(multiplication(multiplication(X2,X0),c(X3)),zero)
          & test(X4)
          & test(X2)
          & test(X3) )
       => leq(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero) ),
    inference(negated_conjecture,[status(cth)],[f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ test(X0)
      | ( c(X0) = X1
      <=> complement(X0,X1) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f21,plain,
    ? [X0,X1,X2,X3,X4] :
      ( leq(multiplication(multiplication(X3,X1),c(X4)),zero)
      & leq(multiplication(multiplication(X2,X0),c(X3)),zero)
      & test(X4)
      & test(X2)
      & test(X3)
      & ~ leq(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f22,plain,
    ? [X0,X1,X2,X3,X4] :
      ( leq(multiplication(multiplication(X3,X1),c(X4)),zero)
      & leq(multiplication(multiplication(X2,X0),c(X3)),zero)
      & test(X4)
      & test(X2)
      & test(X3)
      & ~ leq(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero) ),
    inference(flattening,[],[f21]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( ~ leq(X0,X1)
        | addition(X0,X1) = X1 )
      & ( addition(X0,X1) != X1
        | leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( ~ complement(X1,X0)
        | ( addition(X0,X1) = one
          & multiplication(X1,X0) = zero
          & multiplication(X0,X1) = zero ) )
      & ( addition(X0,X1) != one
        | zero != multiplication(X1,X0)
        | zero != multiplication(X0,X1)
        | complement(X1,X0) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( ~ complement(X1,X0)
        | ( addition(X0,X1) = one
          & multiplication(X1,X0) = zero
          & multiplication(X0,X1) = zero ) )
      & ( addition(X0,X1) != one
        | zero != multiplication(X1,X0)
        | zero != multiplication(X0,X1)
        | complement(X1,X0) ) ),
    inference(flattening,[],[f27]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ test(X0)
      | ( ( c(X0) != X1
          | complement(X0,X1) )
        & ( ~ complement(X0,X1)
          | c(X0) = X1 ) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f30,plain,
    ( leq(multiplication(multiplication(sK4,sK2),c(sK5)),zero)
    & leq(multiplication(multiplication(sK3,sK1),c(sK4)),zero)
    & test(sK5)
    & test(sK3)
    & test(sK4)
    & ~ leq(multiplication(multiplication(multiplication(sK3,sK1),sK2),c(sK5)),zero) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5)],[f22]) ).

fof(f31,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f32,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f33,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f35,plain,
    ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f39,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f41,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f11]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | addition(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f23]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ complement(X1,X0)
      | addition(X0,X1) = one ),
    inference(cnf_transformation,[],[f28]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ test(X0)
      | c(X0) != X1
      | complement(X0,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f53,plain,
    leq(multiplication(multiplication(sK4,sK2),c(sK5)),zero),
    inference(cnf_transformation,[],[f30]) ).

fof(f54,plain,
    leq(multiplication(multiplication(sK3,sK1),c(sK4)),zero),
    inference(cnf_transformation,[],[f30]) ).

fof(f57,plain,
    test(sK4),
    inference(cnf_transformation,[],[f30]) ).

fof(f58,plain,
    ~ leq(multiplication(multiplication(multiplication(sK3,sK1),sK2),c(sK5)),zero),
    inference(cnf_transformation,[],[f30]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ test(X0)
      | complement(X0,c(X0)) ),
    inference(equality_resolution,[],[f50]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_51,plain,
    ! [X0: $i] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f33]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_55,plain,
    ! [X0: $i] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f37]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i] : addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_59,plain,
    ! [X0: $i] : multiplication(zero,X0) = zero,
    inference(cnf_transformation,[],[f41]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition(X0,X1) = X1 )
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition(X1,X0) = one )
      | ~ complement(X0,X1) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_69,plain,
    ! [X0: $i] :
      ( complement(X0,c(X0))
      | ~ test(X0) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_71,negated_conjecture,
    ~ leq(multiplication(multiplication(multiplication(sK3,sK1),sK2),c(sK5)),zero),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_72,negated_conjecture,
    test(sK4),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_75,negated_conjecture,
    leq(multiplication(multiplication(sK3,sK1),c(sK4)),zero),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_76,negated_conjecture,
    leq(multiplication(multiplication(sK4,sK2),c(sK5)),zero),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_96,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition(X0,X1) = X1 )
      | ~ leq(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_61]) ).

tcf(c_288,plain,
    ~ leq(multiplication(multiplication(sK3,multiplication(sK1,sK2)),c(sK5)),zero),
    inference(demodulation,[status(thm)],[c_71,c_53]) ).

tcf(c_289,plain,
    leq(multiplication(sK3,multiplication(sK1,c(sK4))),zero),
    inference(demodulation,[status(thm)],[c_75,c_53]) ).

tcf(c_290,plain,
    leq(multiplication(sK4,multiplication(sK2,c(sK5))),zero),
    inference(demodulation,[status(thm)],[c_76,c_53]) ).

tcf(c_291,plain,
    ~ leq(multiplication(sK3,multiplication(sK1,multiplication(sK2,c(sK5)))),zero),
    inference(demodulation,[status(thm)],[c_288,c_53]) ).

tcf(c_311,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition(X0,X1) = X1 )
      | ( X1 != zero )
      | ( multiplication(sK3,multiplication(sK1,c(sK4))) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_96,c_289]) ).

tcf(c_312,plain,
    addition(multiplication(sK3,multiplication(sK1,c(sK4))),zero) = zero,
    inference(unflattening,[status(thm)],[c_311]) ).

tcf(c_316,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition(X0,X1) = X1 )
      | ( X1 != zero )
      | ( multiplication(sK4,multiplication(sK2,c(sK5))) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_96,c_290]) ).

tcf(c_317,plain,
    addition(multiplication(sK4,multiplication(sK2,c(sK5))),zero) = zero,
    inference(unflattening,[status(thm)],[c_316]) ).

tcf(c_333,plain,
    ( ( zero != zero )
    | ( multiplication(sK3,multiplication(sK1,multiplication(sK2,c(sK5)))) != multiplication(sK4,multiplication(sK2,c(sK5))) ) ),
    inference(resolution_lifted,[status(thm)],[c_290,c_291]) ).

tcf(c_633,definition,
    iPr_def_10 = c(sK5),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_634,definition,
    iPr_def_11 = multiplication(sK2,iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_635,definition,
    iPr_def_12 = multiplication(sK1,iPr_def_11),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_636,definition,
    iPr_def_13 = multiplication(sK3,iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_637,definition,
    iPr_def_14 = multiplication(sK4,iPr_def_11),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_638,definition,
    iPr_def_15 = c(sK4),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_639,definition,
    iPr_def_16 = multiplication(sK1,iPr_def_15),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_640,definition,
    iPr_def_17 = multiplication(sK3,iPr_def_16),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_642,definition,
    iPr_def_19 = addition(iPr_def_14,zero),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_643,definition,
    iPr_def_20 = addition(iPr_def_17,zero),
    introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).

tcf(c_644,plain,
    ( ( iPr_def_13 != iPr_def_14 )
    | ( zero != zero ) ),
    inference(demodulation,[status(thm)],[c_333,c_637,c_633,c_634,c_635,c_636]) ).

tcf(c_647,plain,
    iPr_def_19 = zero,
    inference(demodulation,[status(thm)],[c_317,c_642]) ).

tcf(c_648,plain,
    iPr_def_20 = zero,
    inference(demodulation,[status(thm)],[c_312,c_643]) ).

tcf(c_651,negated_conjecture,
    test(sK4),
    inference(demodulation,[status(thm)],[c_72]) ).

tcf(c_948,plain,
    iPr_def_13 != iPr_def_14,
    inference(equality_resolution_simp,[status(thm)],[c_644]) ).

tcf(c_955,plain,
    iPr_def_19 = iPr_def_20,
    inference(light_normalisation,[status(thm)],[c_648,c_647]) ).

tcf(c_957,plain,
    ! [X0: $i] : addition(X0,iPr_def_19) = X0,
    inference(light_normalisation,[status(thm)],[c_51,c_647]) ).

tcf(c_959,plain,
    ! [X0: $i] : multiplication(iPr_def_19,X0) = iPr_def_19,
    inference(light_normalisation,[status(thm)],[c_59,c_647]) ).

tcf(c_973,plain,
    ! [X0: $i] : multiplication(sK1,multiplication(iPr_def_15,X0)) = multiplication(iPr_def_16,X0),
    inference(superposition,[status(thm)],[c_639,c_53]) ).

tcf(c_974,plain,
    ! [X0: $i] : multiplication(sK3,multiplication(iPr_def_16,X0)) = multiplication(iPr_def_17,X0),
    inference(superposition,[status(thm)],[c_640,c_53]) ).

tcf(c_990,plain,
    addition(iPr_def_14,iPr_def_19) = iPr_def_19,
    inference(light_normalisation,[status(thm)],[c_642,c_647]) ).

tcf(c_991,plain,
    iPr_def_14 = iPr_def_19,
    inference(demodulation,[status(thm)],[c_990,c_957]) ).

tcf(c_993,plain,
    ! [X0: $i] : multiplication(iPr_def_14,X0) = iPr_def_14,
    inference(demodulation,[status(thm)],[c_959,c_991]) ).

tcf(c_995,plain,
    ! [X0: $i] : addition(X0,iPr_def_14) = X0,
    inference(demodulation,[status(thm)],[c_957,c_991]) ).

tcf(c_996,plain,
    iPr_def_14 = iPr_def_20,
    inference(demodulation,[status(thm)],[c_955,c_991]) ).

tcf(c_997,plain,
    zero = iPr_def_14,
    inference(demodulation,[status(thm)],[c_647,c_991]) ).

tcf(c_1001,plain,
    addition(iPr_def_17,iPr_def_14) = iPr_def_14,
    inference(light_normalisation,[status(thm)],[c_643,c_996,c_997]) ).

tcf(c_1002,plain,
    iPr_def_14 = iPr_def_17,
    inference(demodulation,[status(thm)],[c_1001,c_995]) ).

tcf(c_1003,plain,
    multiplication(sK3,iPr_def_16) = iPr_def_14,
    inference(demodulation,[status(thm)],[c_640,c_1002]) ).

tcf(c_1015,plain,
    ( complement(sK4,iPr_def_15)
    | ~ test(sK4) ),
    inference(superposition,[status(thm)],[c_638,c_69]) ).

tcf(c_1019,plain,
    complement(sK4,iPr_def_15),
    inference(forward_subsumption_resolution,[status(thm)],[c_1015,c_651]) ).

tcf(c_1046,plain,
    ! [X0: $i] : addition(iPr_def_14,X0) = X0,
    inference(superposition,[status(thm)],[c_995,c_49]) ).

tcf(c_1085,plain,
    ! [X0: $i] : multiplication(sK3,multiplication(iPr_def_16,X0)) = multiplication(iPr_def_14,X0),
    inference(superposition,[status(thm)],[c_1003,c_53]) ).

tcf(c_1086,plain,
    ! [X0: $i] : multiplication(sK3,multiplication(iPr_def_16,X0)) = iPr_def_14,
    inference(light_normalisation,[status(thm)],[c_1085,c_974,c_993]) ).

tcf(c_1164,plain,
    addition(iPr_def_15,sK4) = one,
    inference(superposition,[status(thm)],[c_1019,c_67]) ).

tcf(c_1260,plain,
    ! [X0: $i] : addition(multiplication(iPr_def_15,X0),multiplication(sK4,X0)) = multiplication(one,X0),
    inference(superposition,[status(thm)],[c_1164,c_57]) ).

tcf(c_1261,plain,
    ! [X0: $i] : addition(multiplication(iPr_def_15,X0),multiplication(sK4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1260,c_55]) ).

tcf(c_1721,plain,
    addition(multiplication(iPr_def_15,iPr_def_11),iPr_def_14) = iPr_def_11,
    inference(superposition,[status(thm)],[c_637,c_1261]) ).

tcf(c_1731,plain,
    addition(iPr_def_14,multiplication(iPr_def_15,iPr_def_11)) = iPr_def_11,
    inference(theory_normalisation,[status(thm)],[c_1721,c_50,c_49]) ).

tcf(c_2225,plain,
    multiplication(iPr_def_15,iPr_def_11) = iPr_def_11,
    inference(demodulation,[status(thm)],[c_1731,c_1046]) ).

tcf(c_2944,plain,
    multiplication(sK1,iPr_def_11) = multiplication(iPr_def_16,iPr_def_11),
    inference(superposition,[status(thm)],[c_2225,c_973]) ).

tcf(c_2948,plain,
    multiplication(iPr_def_16,iPr_def_11) = iPr_def_12,
    inference(light_normalisation,[status(thm)],[c_2944,c_635]) ).

tcf(c_2994,plain,
    multiplication(sK3,iPr_def_12) = iPr_def_14,
    inference(superposition,[status(thm)],[c_2948,c_1086]) ).

tcf(c_2995,plain,
    iPr_def_13 = iPr_def_14,
    inference(light_normalisation,[status(thm)],[c_2994,c_636]) ).

tcf(c_2996,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2995,c_948]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KLE034+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38  % Computer : n009.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Wed Sep 23 18:42:44 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.43  
% 0.11/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43  
% 0.11/0.43  % Detected problem language: tptp
% 0.11/0.44  % Proving...
% 3.30/1.22  % SZS status Started for theBenchmark.p
% 3.30/1.22  % SZS status Theorem for theBenchmark.p
% 3.30/1.22  
% 3.30/1.22  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.30/1.22  
% 3.30/1.22  % ------  iProver source info
% 3.30/1.22  
% 3.30/1.22  % git: date: 2026-07-19 20:42:38 +0200
% 3.30/1.22  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.30/1.22  % git: non_committed_changes: false
% 3.30/1.22  
% 3.30/1.22  % ------ Parsing...
% 3.30/1.22  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.30/1.22  
% 3.30/1.22  % ------ Preprocessing... sup_sim: 4  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e % 
% 3.30/1.22  
% 3.30/1.22  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.30/1.22  
% 3.30/1.22  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.30/1.22  % ------ Proving...
% 3.30/1.22  % ------ Problem Properties 
% 3.30/1.22  
% 3.30/1.22  % 
% 3.30/1.22  % clauses                               39
% 3.30/1.22  % conjectures                           3
% 3.30/1.22  % EPR                                   9
% 3.30/1.22  % Horn                                  38
% 3.30/1.22  % unary                                 28
% 3.30/1.22  % binary                                9
% 3.30/1.22  % lits                                  53
% 3.30/1.22  % lits eq                               37
% 3.30/1.22  % fd_pure                               0
% 3.30/1.22  % fd_pseudo                             0
% 3.30/1.22  % fd_cond                               0
% 3.30/1.22  % fd_pseudo_cond                        1
% 3.30/1.22  % AC symbols                            1
% 3.30/1.22  
% 3.30/1.22  % ------ Schedule dynamic 5 is on 
% 3.30/1.22  
% 3.30/1.22  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.30/1.22  
% 3.30/1.22  
% 3.30/1.22  % ------ 
% 3.30/1.22  % Current options:
% 3.30/1.22  % ------ 
% 3.30/1.22  
% 3.30/1.22  
% 3.30/1.22  % 
% 3.30/1.22  
% 3.30/1.22  % ------ Proving...
% 3.30/1.22  % 
% 3.30/1.22  
% 3.30/1.22  % SZS status Theorem for theBenchmark.p
% 3.30/1.22  
% 3.30/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.30/1.23  
% 3.30/1.23  
%------------------------------------------------------------------------------