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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : KLE023+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 : Thu Sep 24 12:58:38 PM UTC 2026

% Result   : Theorem 86.39s 13.29s
% Output   : CNFRefutation 86.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   87 (  66 unt;   0 def)
%            Number of atoms       :  134 (  84 equ)
%            Maximal formula atoms :   10 (   1 avg)
%            Number of connectives :   75 (  28   ~;  25   |;  13   &)
%                                         (   4 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  117 (   5 sgn  62   !;   1   ?)

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

fof(goals,conjecture,
    ! [X4,X5,X6] :
      ( ( test(X6)
        & test(X5) )
     => ( addition(multiplication(X5,X4),multiplication(X4,X6)) = multiplication(X4,X6)
       => addition(multiplication(X4,c(X6)),multiplication(c(X5),X4)) = multiplication(c(X5),X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(c_0_16,plain,
    ! [X35,X36] :
      ( ( ~ test(X35)
        | c(X35) = X36
        | ~ complement(X35,X36) )
      & ( ~ test(X35)
        | complement(X35,X36)
        | c(X35) != X36 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_3])])])]) ).

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

cnf(c_0_18,plain,
    ( ~ test(X1)
    | c(X1) != X2
    | complement(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_19,negated_conjecture,
    ( addition(multiplication(esk2_0,c(esk4_0)),multiplication(c(esk3_0),esk2_0)) != multiplication(c(esk3_0),esk2_0)
    & addition(multiplication(esk3_0,esk2_0),multiplication(esk2_0,esk4_0)) = multiplication(esk2_0,esk4_0)
    & test(esk4_0)
    & test(esk3_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).

fof(c_0_20,plain,
    ! [X7,X8] : addition(X7,X8) = addition(X8,X7),
    inference(variable_rename,[status(thm)],[additive_commutativity]) ).

fof(c_0_21,plain,
    ! [X33,X34] :
      ( ( complement(X34,X33)
        | addition(X33,X34) != one
        | multiplication(X34,X33) != zero
        | multiplication(X33,X34) != zero )
      & ( ~ complement(X34,X33)
        | addition(X33,X34) = one )
      & ( ~ complement(X34,X33)
        | multiplication(X34,X33) = zero )
      & ( ~ complement(X34,X33)
        | multiplication(X33,X34) = zero ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_2])])])]) ).

cnf(c_0_22,plain,
    ( ~ test(X1)
    | complement(X1,c(X1)) ),
    inference(er,[status(thm)],[c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    test(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_24,plain,
    ! [X9,X10,X11] : addition(X11,addition(X10,X9)) = addition(addition(X11,X10),X9),
    inference(variable_rename,[status(thm)],[additive_associativity]) ).

cnf(c_0_25,negated_conjecture,
    addition(multiplication(esk3_0,esk2_0),multiplication(esk2_0,esk4_0)) = multiplication(esk2_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_27,plain,
    ! [X13] : addition(X13,X13) = X13,
    inference(variable_rename,[status(thm)],[additive_idempotence]) ).

cnf(c_0_28,negated_conjecture,
    test(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_29,plain,
    ! [X14,X15,X16] : multiplication(X14,multiplication(X15,X16)) = multiplication(multiplication(X14,X15),X16),
    inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).

cnf(c_0_30,plain,
    ( ~ complement(X1,X2)
    | multiplication(X1,X2) = zero ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31,negated_conjecture,
    complement(esk3_0,c(esk3_0)),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

fof(c_0_32,plain,
    ! [X26] : multiplication(zero,X26) = zero,
    inference(variable_rename,[status(thm)],[left_annihilation]) ).

cnf(c_0_33,plain,
    addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_34,negated_conjecture,
    addition(multiplication(esk2_0,esk4_0),multiplication(esk3_0,esk2_0)) = multiplication(esk2_0,esk4_0),
    inference(rw,[status(thm)],[c_0_25,c_0_26]) ).

fof(c_0_35,plain,
    ! [X22,X23,X24] : multiplication(addition(X22,X23),X24) = addition(multiplication(X22,X24),multiplication(X23,X24)),
    inference(variable_rename,[status(thm)],[left_distributivity]) ).

fof(c_0_36,plain,
    ! [X19,X20,X21] : multiplication(X19,addition(X20,X21)) = addition(multiplication(X19,X20),multiplication(X19,X21)),
    inference(variable_rename,[status(thm)],[right_distributivity]) ).

fof(c_0_37,plain,
    ! [X17] : multiplication(X17,one) = X17,
    inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).

cnf(c_0_38,plain,
    addition(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_39,plain,
    ( ~ complement(X2,X1)
    | addition(X1,X2) = one ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_40,negated_conjecture,
    complement(esk4_0,c(esk4_0)),
    inference(spm,[status(thm)],[c_0_22,c_0_28]) ).

fof(c_0_41,plain,
    ! [X29,X31,X32] :
      ( ( test(X31)
        | ~ complement(X32,X31) )
      & ( complement(esk1_1(X29),X29)
        | ~ test(X29) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[test_1])])])])])]) ).

cnf(c_0_42,plain,
    multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_43,negated_conjecture,
    multiplication(esk3_0,c(esk3_0)) = zero,
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_44,plain,
    multiplication(zero,X1) = zero,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_45,plain,
    ! [X12] : addition(X12,zero) = X12,
    inference(variable_rename,[status(thm)],[additive_identity]) ).

cnf(c_0_46,negated_conjecture,
    addition(multiplication(esk2_0,esk4_0),addition(multiplication(esk3_0,esk2_0),X1)) = addition(multiplication(esk2_0,esk4_0),X1),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_47,plain,
    multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_48,plain,
    ! [X18] : multiplication(one,X18) = X18,
    inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).

cnf(c_0_49,plain,
    multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_50,plain,
    multiplication(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_51,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_33,c_0_38]) ).

cnf(c_0_52,negated_conjecture,
    addition(esk4_0,c(esk4_0)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_26]) ).

cnf(c_0_53,plain,
    ( ~ complement(X1,X2)
    | test(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_54,negated_conjecture,
    multiplication(esk3_0,multiplication(c(esk3_0),X1)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).

cnf(c_0_55,plain,
    addition(X1,zero) = X1,
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_56,negated_conjecture,
    addition(multiplication(esk2_0,esk4_0),multiplication(addition(esk3_0,X1),esk2_0)) = addition(multiplication(esk2_0,esk4_0),multiplication(X1,esk2_0)),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_57,negated_conjecture,
    addition(esk3_0,c(esk3_0)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_31]),c_0_26]) ).

cnf(c_0_58,plain,
    multiplication(one,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_59,plain,
    addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_26]) ).

cnf(c_0_60,negated_conjecture,
    addition(one,esk4_0) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_26]) ).

fof(c_0_61,plain,
    ! [X27,X28] :
      ( ( leq(X27,X28)
        | addition(X27,X28) != X28 )
      & ( addition(X27,X28) = X28
        | ~ leq(X27,X28) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])]) ).

cnf(c_0_62,plain,
    ( ~ test(X1)
    | complement(esk1_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_63,negated_conjecture,
    test(c(esk4_0)),
    inference(spm,[status(thm)],[c_0_53,c_0_40]) ).

cnf(c_0_64,negated_conjecture,
    multiplication(esk3_0,addition(X1,multiplication(c(esk3_0),X2))) = multiplication(esk3_0,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_54]),c_0_55]) ).

cnf(c_0_65,negated_conjecture,
    addition(multiplication(esk2_0,esk4_0),multiplication(c(esk3_0),esk2_0)) = esk2_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(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_26]),c_0_59]),c_0_26]),c_0_60]),c_0_50]) ).

cnf(c_0_66,plain,
    ( addition(X1,X2) != X2
    | leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_67,negated_conjecture,
    complement(esk1_1(c(esk4_0)),c(esk4_0)),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_68,negated_conjecture,
    multiplication(esk3_0,multiplication(esk2_0,esk4_0)) = multiplication(esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

fof(c_0_69,plain,
    ! [X25] : multiplication(X25,zero) = zero,
    inference(variable_rename,[status(thm)],[right_annihilation]) ).

cnf(c_0_70,plain,
    ( addition(X2,X1) != X2
    | leq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_66,c_0_26]) ).

cnf(c_0_71,negated_conjecture,
    addition(c(esk4_0),esk1_1(c(esk4_0))) = one,
    inference(spm,[status(thm)],[c_0_39,c_0_67]) ).

cnf(c_0_72,negated_conjecture,
    multiplication(esk3_0,multiplication(esk2_0,multiplication(esk4_0,X1))) = multiplication(esk3_0,multiplication(esk2_0,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_68]),c_0_42]),c_0_42]) ).

cnf(c_0_73,negated_conjecture,
    multiplication(esk4_0,c(esk4_0)) = zero,
    inference(spm,[status(thm)],[c_0_30,c_0_40]) ).

cnf(c_0_74,plain,
    multiplication(X1,zero) = zero,
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_75,plain,
    ( multiplication(X1,addition(X3,X2)) != multiplication(X1,X3)
    | leq(multiplication(X1,X2),multiplication(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_70,c_0_49]) ).

cnf(c_0_76,negated_conjecture,
    addition(one,c(esk4_0)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_71]),c_0_26]) ).

cnf(c_0_77,negated_conjecture,
    multiplication(esk3_0,multiplication(esk2_0,c(esk4_0))) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_74]) ).

cnf(c_0_78,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_55,c_0_26]) ).

cnf(c_0_79,negated_conjecture,
    leq(multiplication(X1,c(esk4_0)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_50]) ).

cnf(c_0_80,negated_conjecture,
    multiplication(addition(esk3_0,X1),multiplication(esk2_0,c(esk4_0))) = multiplication(X1,multiplication(esk2_0,c(esk4_0))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_77]),c_0_78]) ).

cnf(c_0_81,negated_conjecture,
    leq(multiplication(X1,multiplication(X2,c(esk4_0))),multiplication(X1,X2)),
    inference(spm,[status(thm)],[c_0_79,c_0_42]) ).

cnf(c_0_82,negated_conjecture,
    multiplication(c(esk3_0),multiplication(esk2_0,c(esk4_0))) = multiplication(esk2_0,c(esk4_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_57]),c_0_58]) ).

cnf(c_0_83,plain,
    ( ~ leq(X1,X2)
    | addition(X1,X2) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_84,negated_conjecture,
    leq(multiplication(esk2_0,c(esk4_0)),multiplication(c(esk3_0),esk2_0)),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_85,negated_conjecture,
    addition(multiplication(esk2_0,c(esk4_0)),multiplication(c(esk3_0),esk2_0)) != multiplication(c(esk3_0),esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_86,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : KLE023+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.46  % Computer : n019.cluster.edu
% 0.18/0.46  % Model    : x86_64 x86_64
% 0.18/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46  % Memory   : 8046.5625MB
% 0.18/0.46  % OS       : Linux 6.8.0-71-generic
% 0.18/0.46  % CPULimit : 300
% 0.18/0.46  % WCLimit  : 300
% 0.18/0.46  % DateTime : Sun Sep 20 22:38:50 UTC 2026
% 0.18/0.47  % CPUTime  : 
% 0.18/0.47  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.54  Running first-order theorem proving
% 0.23/0.54  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 86.39/13.29  % Version: 3.5.1
% 86.39/13.29  % Preprocessing class: FSMSSMSSSSSNFFN.
% 86.39/13.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 86.39/13.29  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 86.39/13.29  % Starting new_bool_3 with 300s (1) cores
% 86.39/13.29  % Starting new_bool_1 with 300s (1) cores
% 86.39/13.29  % Starting sh5l with 300s (1) cores
% 86.39/13.29  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1066658 completed with status 0
% 86.39/13.29  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 86.39/13.29  % Preprocessing class: FSMSSMSSSSSNFFN.
% 86.39/13.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 86.39/13.29  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 86.39/13.29  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 86.39/13.29  % No SInE strategy applied
% 86.39/13.29  % Search class: FGUSM-FFMS21-MFFFFFNN
% 86.39/13.29  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 86.39/13.29  % Starting SubtermCWHack with 136s (1) cores
% 86.39/13.29  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 86.39/13.29  % Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 86.39/13.29  % Starting new_bool_3 with 136s (1) cores
% 86.39/13.29  % Starting new_bool_1 with 136s (1) cores
% 86.39/13.29  % G-E--_208_C18_F1_AE_CS_SP_PI_S0a with pid 1066667 completed with status 0
% 86.39/13.29  % Result found by G-E--_208_C18_F1_AE_CS_SP_PI_S0a
% 86.39/13.29  % Preprocessing class: FSMSSMSSSSSNFFN.
% 86.39/13.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 86.39/13.29  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 86.39/13.29  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 86.39/13.29  % No SInE strategy applied
% 86.39/13.29  % Search class: FGUSM-FFMS21-MFFFFFNN
% 86.39/13.29  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 86.39/13.29  % Starting SubtermCWHack with 136s (1) cores
% 86.39/13.29  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 86.39/13.29  % Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 86.39/13.29  % Preprocessing time       : 0.002 s
% 86.39/13.29  
% 86.39/13.29  % Proof found!
% 86.39/13.29  % SZS status Theorem
% 86.39/13.29  % SZS output start CNFRefutation
% See solution above
% 86.39/13.30  % Parsed axioms                        : 17
% 86.39/13.30  % Removed by relevancy pruning/SinE    : 0
% 86.39/13.30  % Initial clauses                      : 26
% 86.39/13.30  % Removed in clause preprocessing      : 0
% 86.39/13.30  % Initial clauses in saturation        : 26
% 86.39/13.30  % Processed clauses                    : 19554
% 86.39/13.30  % ...of these trivial                  : 1655
% 86.39/13.30  % ...subsumed                          : 15189
% 86.39/13.30  % ...remaining for further processing  : 2710
% 86.39/13.30  % Other redundant clauses eliminated   : 0
% 86.39/13.30  % Clauses deleted for lack of memory   : 0
% 86.39/13.30  % Backward-subsumed                    : 56
% 86.39/13.30  % Backward-rewritten                   : 535
% 86.39/13.30  % Generated clauses                    : 403826
% 86.39/13.30  % ...of the previous two non-redundant : 352588
% 86.39/13.30  % ...aggressively subsumed             : 0
% 86.39/13.30  % Contextual simplify-reflections      : 0
% 86.39/13.30  % Paramodulations                      : 403819
% 86.39/13.30  % Factorizations                       : 0
% 86.39/13.30  % NegExts                              : 0
% 86.39/13.30  % Equation resolutions                 : 7
% 86.39/13.30  % Disequality decompositions           : 0
% 86.39/13.30  % Total rewrite steps                  : 805435
% 86.39/13.30  % ...of those cached                   : 726117
% 86.39/13.30  % Propositional unsat checks           : 0
% 86.39/13.30  %    Propositional check models        : 0
% 86.39/13.30  %    Propositional check unsatisfiable : 0
% 86.39/13.30  %    Propositional clauses             : 0
% 86.39/13.30  %    Propositional clauses after purity: 0
% 86.39/13.30  %    Propositional unsat core size     : 0
% 86.39/13.30  %    Propositional preprocessing time  : 0.000
% 86.39/13.30  %    Propositional encoding time       : 0.000
% 86.39/13.30  %    Propositional solver time         : 0.000
% 86.39/13.30  %    Success case prop preproc time    : 0.000
% 86.39/13.30  %    Success case prop encoding time   : 0.000
% 86.39/13.30  %    Success case prop solver time     : 0.000
% 86.39/13.30  % Current number of processed clauses  : 2119
% 86.39/13.30  %    Positive orientable unit clauses  : 1069
% 86.39/13.30  %    Positive unorientable unit clauses: 20
% 86.39/13.30  %    Negative unit clauses             : 1
% 86.39/13.30  %    Non-unit-clauses                  : 1029
% 86.39/13.30  % Current number of unprocessed clauses: 331553
% 86.39/13.30  % ...number of literals in the above   : 756341
% 86.39/13.30  % Current number of archived formulas  : 0
% 86.39/13.30  % Current number of archived clauses   : 591
% 86.39/13.30  % Clause-clause subsumption calls (NU) : 512479
% 86.39/13.30  % Rec. Clause-clause subsumption calls : 456720
% 86.39/13.30  % Non-unit clause-clause subsumptions  : 14802
% 86.39/13.30  % Unit Clause-clause subsumption calls : 15225
% 86.39/13.30  % Rewrite failures with RHS unbound    : 0
% 86.39/13.30  % BW rewrite match attempts            : 7271
% 86.39/13.30  % BW rewrite match successes           : 417
% 86.39/13.30  % Condensation attempts                : 0
% 86.39/13.30  % Condensation successes               : 0
% 86.39/13.30  % Termbank termtop insertions          : 11026615
% 86.39/13.30  % Search garbage collected termcells   : 195
% 86.39/13.30  
% 86.39/13.30  % -------------------------------------------------
% 86.39/13.30  % User time                : 11.970 s
% 86.39/13.30  % System time              : 0.414 s
% 86.39/13.30  % Total time               : 12.384 s
% 86.39/13.30  % Maximum resident set size: 3648 pages
% 86.39/13.30  
% 86.39/13.30  % -------------------------------------------------
% 86.39/13.30  % User time                : 59.762 s
% 86.39/13.30  % System time              : 2.239 s
% 86.39/13.30  % Total time               : 62.001 s
% 86.39/13.30  % Maximum resident set size: 4864 pages
% 86.39/13.30  % E exiting
%------------------------------------------------------------------------------