TSTP Solution File: KLE028+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : KLE028+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 01:55:28 EDT 2022

% Result   : Theorem 0.57s 62.75s
% Output   : CNFRefutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  150 ( 113 unt;   0 def)
%            Number of atoms       :  221 ( 137 equ)
%            Maximal formula atoms :   10 (   1 avg)
%            Number of connectives :  127 (  56   ~;  48   |;  15   &)
%                                         (   4 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :  169 (  12 sgn  77   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( test(X8)
        & test(X9) )
     => ( leq(addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7)))),addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))))
        & leq(addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))),addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7))))) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',goals) ).

fof(test_1,axiom,
    ! [X4] :
      ( test(X4)
    <=> ? [X5] : complement(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).

fof(test_3,axiom,
    ! [X4,X5] :
      ( test(X4)
     => ( c(X4) = X5
      <=> complement(X4,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).

fof(additive_associativity,axiom,
    ! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).

fof(additive_idempotence,axiom,
    ! [X1] : addition(X1,X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).

fof(test_2,axiom,
    ! [X4,X5] :
      ( complement(X5,X4)
    <=> ( multiplication(X4,X5) = zero
        & multiplication(X5,X4) = zero
        & addition(X4,X5) = one ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).

fof(additive_commutativity,axiom,
    ! [X1,X2] : addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).

fof(left_distributivity,axiom,
    ! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).

fof(multiplicative_left_identity,axiom,
    ! [X1] : multiplication(one,X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).

fof(test_deMorgan1,axiom,
    ! [X4,X5] :
      ( ( test(X4)
        & test(X5) )
     => c(addition(X4,X5)) = multiplication(c(X4),c(X5)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+2.ax',test_deMorgan1) ).

fof(right_distributivity,axiom,
    ! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).

fof(additive_identity,axiom,
    ! [X1] : addition(X1,zero) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).

fof(multiplicative_right_identity,axiom,
    ! [X1] : multiplication(X1,one) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).

fof(multiplicative_associativity,axiom,
    ! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).

fof(right_annihilation,axiom,
    ! [X1] : multiplication(X1,zero) = zero,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).

fof(left_annihilation,axiom,
    ! [X1] : multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).

fof(order,axiom,
    ! [X1,X2] :
      ( leq(X1,X2)
    <=> addition(X1,X2) = X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).

fof(c_0_17,negated_conjecture,
    ~ ! [X4,X5,X6,X7,X8,X9] :
        ( ( test(X8)
          & test(X9) )
       => ( leq(addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7)))),addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))))
          & leq(addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))),addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7))))) ) ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_18,plain,
    ! [X6,X6,X8] :
      ( ( ~ test(X6)
        | complement(esk1_1(X6),X6) )
      & ( ~ complement(X8,X6)
        | test(X6) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_1])])])])])]) ).

fof(c_0_19,negated_conjecture,
    ( test(esk6_0)
    & test(esk7_0)
    & ( ~ leq(addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))),addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))))
      | ~ leq(addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))),addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).

fof(c_0_20,plain,
    ! [X6,X7,X7] :
      ( ( c(X6) != X7
        | complement(X6,X7)
        | ~ test(X6) )
      & ( ~ complement(X6,X7)
        | c(X6) = X7
        | ~ test(X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_3])])])])]) ).

fof(c_0_21,plain,
    ! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
    inference(variable_rename,[status(thm)],[additive_associativity]) ).

fof(c_0_22,plain,
    ! [X2] : addition(X2,X2) = X2,
    inference(variable_rename,[status(thm)],[additive_idempotence]) ).

fof(c_0_23,plain,
    ! [X6,X7,X6,X7] :
      ( ( multiplication(X6,X7) = zero
        | ~ complement(X7,X6) )
      & ( multiplication(X7,X6) = zero
        | ~ complement(X7,X6) )
      & ( addition(X6,X7) = one
        | ~ complement(X7,X6) )
      & ( multiplication(X6,X7) != zero
        | multiplication(X7,X6) != zero
        | addition(X6,X7) != one
        | complement(X7,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_2])])])])]) ).

cnf(c_0_24,plain,
    ( complement(esk1_1(X1),X1)
    | ~ test(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    test(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,negated_conjecture,
    test(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27,plain,
    ( complement(X1,X2)
    | ~ test(X1)
    | c(X1) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_28,plain,
    addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_29,plain,
    addition(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,plain,
    ( addition(X2,X1) = one
    | ~ complement(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_31,negated_conjecture,
    complement(esk1_1(esk6_0),esk6_0),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

fof(c_0_32,plain,
    ! [X3,X4] : addition(X3,X4) = addition(X4,X3),
    inference(variable_rename,[status(thm)],[additive_commutativity]) ).

cnf(c_0_33,negated_conjecture,
    complement(esk1_1(esk7_0),esk7_0),
    inference(spm,[status(thm)],[c_0_24,c_0_26]) ).

cnf(c_0_34,plain,
    ( complement(X1,c(X1))
    | ~ test(X1) ),
    inference(er,[status(thm)],[c_0_27]) ).

fof(c_0_35,plain,
    ! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
    inference(variable_rename,[status(thm)],[left_distributivity]) ).

cnf(c_0_36,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_37,negated_conjecture,
    addition(esk6_0,esk1_1(esk6_0)) = one,
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_38,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_39,plain,
    ! [X2] : multiplication(one,X2) = X2,
    inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).

fof(c_0_40,plain,
    ! [X6,X7] :
      ( ~ test(X6)
      | ~ test(X7)
      | c(addition(X6,X7)) = multiplication(c(X6),c(X7)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_deMorgan1])]) ).

cnf(c_0_41,negated_conjecture,
    addition(esk7_0,esk1_1(esk7_0)) = one,
    inference(spm,[status(thm)],[c_0_30,c_0_33]) ).

cnf(c_0_42,negated_conjecture,
    complement(esk7_0,c(esk7_0)),
    inference(spm,[status(thm)],[c_0_34,c_0_26]) ).

fof(c_0_43,plain,
    ! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
    inference(variable_rename,[status(thm)],[right_distributivity]) ).

cnf(c_0_44,plain,
    multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_45,negated_conjecture,
    addition(one,esk6_0) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).

cnf(c_0_46,plain,
    multiplication(one,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

fof(c_0_47,plain,
    ! [X2] : addition(X2,zero) = X2,
    inference(variable_rename,[status(thm)],[additive_identity]) ).

cnf(c_0_48,plain,
    ( complement(X1,X2)
    | addition(X2,X1) != one
    | multiplication(X1,X2) != zero
    | multiplication(X2,X1) != zero ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_49,plain,
    ( multiplication(X1,X2) = zero
    | ~ complement(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_50,plain,
    ( multiplication(X2,X1) = zero
    | ~ complement(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_51,plain,
    ( c(addition(X1,X2)) = multiplication(c(X1),c(X2))
    | ~ test(X2)
    | ~ test(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_52,negated_conjecture,
    complement(esk6_0,c(esk6_0)),
    inference(spm,[status(thm)],[c_0_34,c_0_25]) ).

cnf(c_0_53,negated_conjecture,
    addition(one,esk7_0) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_41]),c_0_38]) ).

fof(c_0_54,plain,
    ! [X2] : multiplication(X2,one) = X2,
    inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).

cnf(c_0_55,negated_conjecture,
    addition(esk7_0,c(esk7_0)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_42]),c_0_38]) ).

cnf(c_0_56,plain,
    multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_57,negated_conjecture,
    addition(X1,multiplication(esk6_0,X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_46]) ).

cnf(c_0_58,plain,
    addition(X1,zero) = X1,
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_59,plain,
    ( complement(X1,X2)
    | addition(X1,X2) != one
    | multiplication(X2,X1) != zero
    | multiplication(X1,X2) != zero ),
    inference(pm,[status(thm)],[c_0_48,c_0_38]) ).

cnf(c_0_60,negated_conjecture,
    multiplication(esk1_1(esk6_0),esk6_0) = zero,
    inference(spm,[status(thm)],[c_0_49,c_0_31]) ).

cnf(c_0_61,negated_conjecture,
    multiplication(esk6_0,esk1_1(esk6_0)) = zero,
    inference(spm,[status(thm)],[c_0_50,c_0_31]) ).

fof(c_0_62,plain,
    ! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
    inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).

cnf(c_0_63,negated_conjecture,
    ( multiplication(c(X1),c(esk7_0)) = c(addition(X1,esk7_0))
    | ~ test(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_26]) ).

cnf(c_0_64,negated_conjecture,
    addition(esk6_0,c(esk6_0)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_52]),c_0_38]) ).

cnf(c_0_65,negated_conjecture,
    addition(X1,multiplication(esk7_0,X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_53]),c_0_46]),c_0_46]) ).

cnf(c_0_66,plain,
    multiplication(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_67,negated_conjecture,
    addition(esk7_0,addition(c(esk7_0),X1)) = addition(one,X1),
    inference(spm,[status(thm)],[c_0_28,c_0_55]) ).

cnf(c_0_68,negated_conjecture,
    addition(multiplication(X1,X2),multiplication(X1,multiplication(esk6_0,X2))) = multiplication(X1,X2),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_69,negated_conjecture,
    multiplication(c(esk7_0),esk7_0) = zero,
    inference(spm,[status(thm)],[c_0_50,c_0_42]) ).

cnf(c_0_70,plain,
    addition(zero,X1) = X1,
    inference(pm,[status(thm)],[c_0_58,c_0_38]) ).

cnf(c_0_71,plain,
    ( c(X1) = X2
    | ~ test(X1)
    | ~ complement(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_72,negated_conjecture,
    complement(esk6_0,esk1_1(esk6_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_37]),c_0_60]),c_0_61])]) ).

cnf(c_0_73,negated_conjecture,
    ( multiplication(c(X1),c(esk6_0)) = c(addition(X1,esk6_0))
    | ~ test(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_25]) ).

cnf(c_0_74,plain,
    multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_75,negated_conjecture,
    multiplication(c(esk6_0),c(esk7_0)) = c(addition(esk6_0,esk7_0)),
    inference(spm,[status(thm)],[c_0_63,c_0_25]) ).

cnf(c_0_76,negated_conjecture,
    multiplication(esk1_1(esk7_0),esk7_0) = zero,
    inference(spm,[status(thm)],[c_0_49,c_0_33]) ).

cnf(c_0_77,negated_conjecture,
    multiplication(esk7_0,esk1_1(esk7_0)) = zero,
    inference(spm,[status(thm)],[c_0_50,c_0_33]) ).

cnf(c_0_78,negated_conjecture,
    addition(esk6_0,addition(c(esk6_0),X1)) = addition(one,X1),
    inference(spm,[status(thm)],[c_0_28,c_0_64]) ).

cnf(c_0_79,negated_conjecture,
    addition(multiplication(X1,X2),multiplication(X1,multiplication(esk7_0,X2))) = multiplication(X1,X2),
    inference(spm,[status(thm)],[c_0_56,c_0_65]) ).

cnf(c_0_80,negated_conjecture,
    multiplication(c(esk6_0),esk6_0) = zero,
    inference(spm,[status(thm)],[c_0_50,c_0_52]) ).

cnf(c_0_81,negated_conjecture,
    addition(X1,multiplication(X1,esk7_0)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_53]),c_0_66]),c_0_66]) ).

cnf(c_0_82,negated_conjecture,
    addition(multiplication(esk7_0,X1),addition(multiplication(c(esk7_0),X1),multiplication(X2,X1))) = addition(X1,multiplication(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_67]),c_0_44]),c_0_46]),c_0_44]) ).

cnf(c_0_83,negated_conjecture,
    multiplication(c(esk7_0),multiplication(esk6_0,esk7_0)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).

cnf(c_0_84,negated_conjecture,
    ( c(esk1_1(esk6_0)) = esk6_0
    | ~ test(esk1_1(esk6_0)) ),
    inference(spm,[status(thm)],[c_0_71,c_0_31]) ).

cnf(c_0_85,negated_conjecture,
    esk1_1(esk6_0) = c(esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_25])]) ).

cnf(c_0_86,plain,
    ( test(X1)
    | ~ complement(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_87,negated_conjecture,
    multiplication(c(esk7_0),c(esk6_0)) = c(addition(esk6_0,esk7_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_26]),c_0_38]) ).

cnf(c_0_88,negated_conjecture,
    multiplication(c(addition(esk6_0,esk7_0)),X1) = multiplication(c(esk6_0),multiplication(c(esk7_0),X1)),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

fof(c_0_89,plain,
    ! [X2] : multiplication(X2,zero) = zero,
    inference(variable_rename,[status(thm)],[right_annihilation]) ).

cnf(c_0_90,negated_conjecture,
    complement(esk7_0,esk1_1(esk7_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_41]),c_0_76]),c_0_77])]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ leq(addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))),addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))))
    | ~ leq(addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))),addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0))))) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_92,negated_conjecture,
    addition(X1,multiplication(X1,esk6_0)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_45]),c_0_66]),c_0_66]) ).

cnf(c_0_93,negated_conjecture,
    addition(multiplication(esk6_0,X1),addition(multiplication(c(esk6_0),X1),multiplication(X2,X1))) = addition(X1,multiplication(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_78]),c_0_44]),c_0_46]),c_0_44]) ).

cnf(c_0_94,negated_conjecture,
    multiplication(c(esk6_0),multiplication(esk7_0,esk6_0)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_70]) ).

cnf(c_0_95,negated_conjecture,
    addition(multiplication(X1,X2),multiplication(X1,multiplication(X2,esk7_0))) = multiplication(X1,X2),
    inference(spm,[status(thm)],[c_0_56,c_0_81]) ).

cnf(c_0_96,negated_conjecture,
    multiplication(esk7_0,multiplication(esk6_0,esk7_0)) = multiplication(esk6_0,esk7_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_83]),c_0_70]),c_0_58]),c_0_58]) ).

cnf(c_0_97,negated_conjecture,
    ( c(c(esk6_0)) = esk6_0
    | ~ test(c(esk6_0)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85]),c_0_85]) ).

cnf(c_0_98,negated_conjecture,
    test(c(esk6_0)),
    inference(spm,[status(thm)],[c_0_86,c_0_52]) ).

cnf(c_0_99,negated_conjecture,
    multiplication(c(esk7_0),multiplication(c(esk6_0),X1)) = multiplication(c(esk6_0),multiplication(c(esk7_0),X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_87]),c_0_88]) ).

cnf(c_0_100,plain,
    multiplication(X1,zero) = zero,
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

fof(c_0_101,plain,
    ! [X2] : multiplication(zero,X2) = zero,
    inference(variable_rename,[status(thm)],[left_annihilation]) ).

cnf(c_0_102,negated_conjecture,
    ( c(esk1_1(esk7_0)) = esk7_0
    | ~ test(esk1_1(esk7_0)) ),
    inference(spm,[status(thm)],[c_0_71,c_0_33]) ).

cnf(c_0_103,negated_conjecture,
    esk1_1(esk7_0) = c(esk7_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_90]),c_0_26])]) ).

cnf(c_0_104,negated_conjecture,
    ( ~ leq(addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))))
    | ~ leq(addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))),addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_56]),c_0_56]),c_0_28]),c_0_56]),c_0_56]),c_0_28]),c_0_56]),c_0_56]),c_0_28]),c_0_56]),c_0_56]),c_0_28]) ).

cnf(c_0_105,plain,
    addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_38]),c_0_28]) ).

cnf(c_0_106,negated_conjecture,
    addition(multiplication(X1,X2),multiplication(X1,multiplication(X2,esk6_0))) = multiplication(X1,X2),
    inference(spm,[status(thm)],[c_0_56,c_0_92]) ).

cnf(c_0_107,negated_conjecture,
    multiplication(esk6_0,multiplication(esk7_0,esk6_0)) = multiplication(esk7_0,esk6_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_58]),c_0_94]),c_0_58]),c_0_58]) ).

cnf(c_0_108,negated_conjecture,
    addition(multiplication(esk6_0,esk7_0),multiplication(esk7_0,esk6_0)) = multiplication(esk7_0,esk6_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_38]) ).

cnf(c_0_109,negated_conjecture,
    addition(multiplication(X1,esk6_0),multiplication(X1,esk1_1(esk6_0))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_37]),c_0_66]) ).

cnf(c_0_110,negated_conjecture,
    c(c(esk6_0)) = esk6_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98])]) ).

cnf(c_0_111,negated_conjecture,
    addition(multiplication(esk6_0,X1),multiplication(esk1_1(esk6_0),X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_37]),c_0_46]) ).

cnf(c_0_112,negated_conjecture,
    multiplication(c(esk6_0),multiplication(c(esk7_0),esk6_0)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_80]),c_0_100]) ).

cnf(c_0_113,plain,
    multiplication(zero,X1) = zero,
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_114,negated_conjecture,
    addition(multiplication(X1,esk7_0),multiplication(X1,esk1_1(esk7_0))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_41]),c_0_66]) ).

cnf(c_0_115,negated_conjecture,
    addition(one,multiplication(c(esk6_0),esk7_0)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_81]),c_0_64]) ).

cnf(c_0_116,negated_conjecture,
    multiplication(esk7_0,c(esk7_0)) = zero,
    inference(spm,[status(thm)],[c_0_49,c_0_42]) ).

cnf(c_0_117,negated_conjecture,
    ( c(c(esk7_0)) = esk7_0
    | ~ test(c(esk7_0)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103]),c_0_103]) ).

cnf(c_0_118,negated_conjecture,
    test(c(esk7_0)),
    inference(spm,[status(thm)],[c_0_86,c_0_42]) ).

cnf(c_0_119,negated_conjecture,
    ( ~ leq(addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))))
    | ~ leq(addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))),addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105]),c_0_105]) ).

cnf(c_0_120,negated_conjecture,
    multiplication(esk7_0,esk6_0) = multiplication(esk6_0,esk7_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).

cnf(c_0_121,negated_conjecture,
    addition(multiplication(X1,esk6_0),multiplication(X1,c(esk6_0))) = X1,
    inference(rw,[status(thm)],[c_0_109,c_0_85]) ).

cnf(c_0_122,negated_conjecture,
    multiplication(esk6_0,c(esk7_0)) = c(addition(esk7_0,c(esk6_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_98]),c_0_38]),c_0_110]) ).

cnf(c_0_123,negated_conjecture,
    addition(multiplication(esk6_0,X1),multiplication(c(esk6_0),X1)) = X1,
    inference(rw,[status(thm)],[c_0_111,c_0_85]) ).

cnf(c_0_124,negated_conjecture,
    multiplication(c(esk6_0),multiplication(c(esk7_0),multiplication(esk6_0,X1))) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_112]),c_0_113]),c_0_74]) ).

cnf(c_0_125,negated_conjecture,
    multiplication(esk6_0,c(esk6_0)) = zero,
    inference(spm,[status(thm)],[c_0_49,c_0_52]) ).

cnf(c_0_126,negated_conjecture,
    addition(multiplication(X1,esk7_0),multiplication(X1,c(esk7_0))) = X1,
    inference(rw,[status(thm)],[c_0_114,c_0_103]) ).

cnf(c_0_127,negated_conjecture,
    addition(X1,multiplication(X1,multiplication(c(esk6_0),esk7_0))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_115]),c_0_66]),c_0_66]) ).

cnf(c_0_128,negated_conjecture,
    multiplication(esk7_0,multiplication(c(esk7_0),X1)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_116]),c_0_113]) ).

cnf(c_0_129,negated_conjecture,
    c(c(esk7_0)) = esk7_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ leq(addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)),multiplication(c(esk7_0),multiplication(esk6_0,esk3_0))))))
    | ~ leq(addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)),multiplication(c(esk7_0),multiplication(esk6_0,esk3_0))))),addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_99]),c_0_38]),c_0_99]),c_0_38]) ).

cnf(c_0_131,negated_conjecture,
    multiplication(esk7_0,multiplication(esk6_0,X1)) = multiplication(esk6_0,multiplication(esk7_0,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_120]),c_0_74]) ).

cnf(c_0_132,negated_conjecture,
    addition(multiplication(X1,multiplication(esk6_0,X2)),multiplication(X1,multiplication(c(esk6_0),X2))) = multiplication(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_121]),c_0_74]),c_0_74]) ).

cnf(c_0_133,negated_conjecture,
    multiplication(c(addition(esk7_0,c(esk6_0))),X1) = multiplication(esk6_0,multiplication(c(esk7_0),X1)),
    inference(spm,[status(thm)],[c_0_74,c_0_122]) ).

cnf(c_0_134,negated_conjecture,
    multiplication(esk6_0,multiplication(c(esk7_0),multiplication(esk6_0,X1))) = multiplication(c(esk7_0),multiplication(esk6_0,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_58]) ).

cnf(c_0_135,negated_conjecture,
    multiplication(esk6_0,multiplication(c(esk6_0),X1)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_125]),c_0_113]) ).

cnf(c_0_136,negated_conjecture,
    addition(multiplication(X1,multiplication(X2,esk7_0)),multiplication(X1,multiplication(X2,c(esk7_0)))) = multiplication(X1,X2),
    inference(spm,[status(thm)],[c_0_56,c_0_126]) ).

cnf(c_0_137,negated_conjecture,
    multiplication(esk7_0,multiplication(c(esk6_0),esk7_0)) = multiplication(c(esk6_0),esk7_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_127]),c_0_99]),c_0_69]),c_0_100]),c_0_58]),c_0_99]),c_0_69]),c_0_100]),c_0_113]),c_0_58]) ).

cnf(c_0_138,negated_conjecture,
    multiplication(esk7_0,c(addition(esk6_0,esk7_0))) = zero,
    inference(spm,[status(thm)],[c_0_128,c_0_87]) ).

cnf(c_0_139,negated_conjecture,
    multiplication(esk7_0,c(esk6_0)) = c(addition(esk6_0,c(esk7_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_118]),c_0_38]),c_0_129]) ).

fof(c_0_140,plain,
    ! [X3,X4,X3,X4] :
      ( ( ~ leq(X3,X4)
        | addition(X3,X4) = X4 )
      & ( addition(X3,X4) != X4
        | leq(X3,X4) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])])]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ leq(addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)),multiplication(c(esk7_0),multiplication(esk6_0,esk3_0))))))
    | ~ leq(addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)),multiplication(c(esk7_0),multiplication(esk6_0,esk3_0))))),addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131]),c_0_131]) ).

cnf(c_0_142,negated_conjecture,
    multiplication(c(esk7_0),multiplication(esk6_0,X1)) = multiplication(esk6_0,multiplication(c(esk7_0),X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]),c_0_133]),c_0_99]),c_0_135]),c_0_58]),c_0_133]) ).

cnf(c_0_143,negated_conjecture,
    multiplication(c(esk6_0),esk7_0) = c(addition(esk6_0,c(esk7_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_75]),c_0_138]),c_0_58]),c_0_139]) ).

cnf(c_0_144,negated_conjecture,
    multiplication(c(addition(esk6_0,c(esk7_0))),X1) = multiplication(esk7_0,multiplication(c(esk6_0),X1)),
    inference(spm,[status(thm)],[c_0_74,c_0_139]) ).

cnf(c_0_145,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ leq(addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))))
    | ~ leq(addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142]),c_0_38]),c_0_142]),c_0_38]) ).

cnf(c_0_147,negated_conjecture,
    multiplication(c(esk6_0),multiplication(esk7_0,X1)) = multiplication(esk7_0,multiplication(c(esk6_0),X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_143]),c_0_144]) ).

cnf(c_0_148,plain,
    leq(X1,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_29]) ).

cnf(c_0_149,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147]),c_0_148]),c_0_147]),c_0_148])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KLE028+4 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 10:33:52 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.35/23.40  eprover: CPU time limit exceeded, terminating
% 0.35/23.41  eprover: CPU time limit exceeded, terminating
% 0.35/23.41  eprover: CPU time limit exceeded, terminating
% 0.35/23.43  eprover: CPU time limit exceeded, terminating
% 0.49/46.42  eprover: CPU time limit exceeded, terminating
% 0.49/46.42  eprover: CPU time limit exceeded, terminating
% 0.49/46.42  eprover: CPU time limit exceeded, terminating
% 0.49/46.45  eprover: CPU time limit exceeded, terminating
% 0.57/62.75  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.57/62.75  
% 0.57/62.75  # Failure: Resource limit exceeded (time)
% 0.57/62.75  # OLD status Res
% 0.57/62.75  # Preprocessing time       : 0.051 s
% 0.57/62.75  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.57/62.75  
% 0.57/62.75  # Failure: Resource limit exceeded (time)
% 0.57/62.75  # OLD status Res
% 0.57/62.75  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.57/62.75  # Preprocessing time       : 0.008 s
% 0.57/62.75  # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.57/62.75  # Preprocessing time       : 0.008 s
% 0.57/62.75  
% 0.57/62.75  # Proof found!
% 0.57/62.75  # SZS status Theorem
% 0.57/62.75  # SZS output start CNFRefutation
% See solution above
% 0.57/62.75  # Proof object total steps             : 150
% 0.57/62.75  # Proof object clause steps            : 115
% 0.57/62.75  # Proof object formula steps           : 35
% 0.57/62.75  # Proof object conjectures             : 91
% 0.57/62.75  # Proof object clause conjectures      : 88
% 0.57/62.75  # Proof object formula conjectures     : 3
% 0.57/62.75  # Proof object initial clauses used    : 24
% 0.57/62.75  # Proof object initial formulas used   : 17
% 0.57/62.75  # Proof object generating inferences   : 78
% 0.57/62.75  # Proof object simplifying inferences  : 122
% 0.57/62.75  # Training examples: 0 positive, 0 negative
% 0.57/62.75  # Parsed axioms                        : 19
% 0.57/62.75  # Removed by relevancy pruning/SinE    : 0
% 0.57/62.75  # Initial clauses                      : 27
% 0.57/62.75  # Removed in clause preprocessing      : 0
% 0.57/62.75  # Initial clauses in saturation        : 27
% 0.57/62.75  # Processed clauses                    : 20100
% 0.57/62.75  # ...of these trivial                  : 1910
% 0.57/62.75  # ...subsumed                          : 13348
% 0.57/62.75  # ...remaining for further processing  : 4842
% 0.57/62.75  # Other redundant clauses eliminated   : 0
% 0.57/62.75  # Clauses deleted for lack of memory   : 628839
% 0.57/62.75  # Backward-subsumed                    : 55
% 0.57/62.75  # Backward-rewritten                   : 1618
% 0.57/62.75  # Generated clauses                    : 973318
% 0.57/62.75  # ...of the previous two non-trivial   : 895738
% 0.57/62.75  # Contextual simplify-reflections      : 208
% 0.57/62.75  # Paramodulations                      : 973311
% 0.57/62.75  # Factorizations                       : 0
% 0.57/62.75  # Equation resolutions                 : 7
% 0.57/62.75  # Current number of processed clauses  : 3169
% 0.57/62.75  #    Positive orientable unit clauses  : 394
% 0.57/62.75  #    Positive unorientable unit clauses: 18
% 0.57/62.75  #    Negative unit clauses             : 0
% 0.57/62.75  #    Non-unit-clauses                  : 2757
% 0.57/62.75  # Current number of unprocessed clauses: 103863
% 0.57/62.75  # ...number of literals in the above   : 265545
% 0.57/62.75  # Current number of archived formulas  : 0
% 0.57/62.75  # Current number of archived clauses   : 1673
% 0.57/62.75  # Clause-clause subsumption calls (NU) : 4690617
% 0.57/62.75  # Rec. Clause-clause subsumption calls : 3470370
% 0.57/62.75  # Non-unit clause-clause subsumptions  : 13177
% 0.57/62.75  # Unit Clause-clause subsumption calls : 90366
% 0.57/62.75  # Rewrite failures with RHS unbound    : 0
% 0.57/62.75  # BW rewrite match attempts            : 20663
% 0.57/62.75  # BW rewrite match successes           : 744
% 0.57/62.75  # Condensation attempts                : 0
% 0.57/62.75  # Condensation successes               : 0
% 0.57/62.75  # Termbank termtop insertions          : 41735228
% 0.57/62.75  
% 0.57/62.75  # -------------------------------------------------
% 0.57/62.75  # User time                : 15.259 s
% 0.57/62.75  # System time              : 0.160 s
% 0.57/62.75  # Total time               : 15.419 s
% 0.57/62.75  # Maximum resident set size: 169948 pages
% 0.57/69.43  eprover: CPU time limit exceeded, terminating
% 0.57/69.44  eprover: CPU time limit exceeded, terminating
% 0.57/69.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.45  eprover: No such file or directory
% 0.57/69.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.45  eprover: No such file or directory
% 0.57/69.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.57/69.46  eprover: No such file or directory
% 0.57/69.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.46  eprover: No such file or directory
% 0.57/69.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.57/69.46  eprover: No such file or directory
% 0.57/69.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.46  eprover: No such file or directory
% 0.57/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.47  eprover: No such file or directory
% 0.57/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.57/69.47  eprover: No such file or directory
% 0.57/69.47  eprover: CPU time limit exceeded, terminating
% 0.57/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.47  eprover: No such file or directory
% 0.57/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.57/69.47  eprover: No such file or directory
% 0.57/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.57/69.47  eprover: No such file or directory
% 0.57/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.47  eprover: No such file or directory
% 0.57/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.57/69.48  eprover: No such file or directory
% 0.57/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.48  eprover: No such file or directory
% 0.57/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.57/69.48  eprover: No such file or directory
% 0.57/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.57/69.49  eprover: No such file or directory
% 0.57/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.49  eprover: No such file or directory
% 0.57/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.49  eprover: No such file or directory
% 0.57/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.57/69.49  eprover: No such file or directory
% 0.57/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.49  eprover: No such file or directory
% 0.57/69.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.50  eprover: No such file or directory
% 0.57/69.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.51  eprover: No such file or directory
% 0.57/69.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.51  eprover: No such file or directory
% 0.57/69.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.52  eprover: No such file or directory
% 0.57/69.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.52  eprover: No such file or directory
% 0.57/69.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.53  eprover: No such file or directory
% 0.57/69.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.54  eprover: No such file or directory
%------------------------------------------------------------------------------