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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : KLE160+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 12:58:59 PM UTC 2026

% Result   : Theorem 14.34s 7.51s
% Output   : CNFRefutation 14.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   83 (  62 unt;   0 def)
%            Number of atoms       :  106 (  56 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   42 (  19   ~;  16   |;   2   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  142 (   5 sgn  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(order,axiom,
    ! [X1,X2] :
      ( leq(X1,X2)
    <=> addition(X1,X2) = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',order) ).

fof(additive_commutativity,axiom,
    ! [X1,X2] : addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',additive_commutativity) ).

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

fof(additive_associativity,axiom,
    ! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',additive_associativity) ).

fof(star_unfold1,axiom,
    ! [X1] : addition(one,multiplication(X1,star(X1))) = star(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_unfold1) ).

fof(distributivity2,axiom,
    ! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',distributivity2) ).

fof(multiplicative_left_identity,axiom,
    ! [X1] : multiplication(one,X1) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_left_identity) ).

fof(idempotence,axiom,
    ! [X1] : addition(X1,X1) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',idempotence) ).

fof(distributivity1,axiom,
    ! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',distributivity1) ).

fof(multiplicative_right_identity,axiom,
    ! [X1] : multiplication(X1,one) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_right_identity) ).

fof(star_unfold2,axiom,
    ! [X1] : addition(one,multiplication(star(X1),X1)) = star(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_unfold2) ).

fof(star_induction1,axiom,
    ! [X1,X2,X3] :
      ( leq(addition(multiplication(X1,X3),X2),X3)
     => leq(multiplication(star(X1),X2),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_induction1) ).

fof(multiplicative_associativity,axiom,
    ! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_associativity) ).

fof(star_induction2,axiom,
    ! [X1,X2,X3] :
      ( leq(addition(multiplication(X3,X1),X2),X3)
     => leq(multiplication(X2,star(X1)),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_induction2) ).

fof(c_0_14,plain,
    ! [X39,X40] :
      ( ( leq(X39,X40)
        | addition(X39,X40) != X40 )
      & ( addition(X39,X40) = X40
        | ~ leq(X39,X40) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])]) ).

fof(c_0_15,plain,
    ! [X7,X8] : addition(X7,X8) = addition(X8,X7),
    inference(variable_rename,[status(thm)],[additive_commutativity]) ).

fof(c_0_16,negated_conjecture,
    ~ ! [X4,X5,X6] :
        ( leq(multiplication(X4,X5),multiplication(X5,X6))
       => leq(multiplication(star(X4),X5),multiplication(X5,star(X6))) ),
    inference(assume_negation,[status(cth)],[goals]) ).

cnf(c_0_17,plain,
    ( addition(X1,X2) != X2
    | leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_19,plain,
    ! [X9,X10,X11] : addition(X11,addition(X10,X9)) = addition(addition(X11,X10),X9),
    inference(variable_rename,[status(thm)],[additive_associativity]) ).

fof(c_0_20,negated_conjecture,
    ( ~ leq(multiplication(star(esk1_0),esk2_0),multiplication(esk2_0,star(esk3_0)))
    & leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,esk3_0)) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).

cnf(c_0_21,plain,
    ( addition(X2,X1) != X2
    | leq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,plain,
    addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_23,plain,
    ( ~ leq(X1,X2)
    | addition(X1,X2) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_24,negated_conjecture,
    leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,esk3_0)),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_25,plain,
    ! [X26] : addition(one,multiplication(X26,star(X26))) = star(X26),
    inference(variable_rename,[status(thm)],[star_unfold1]) ).

fof(c_0_26,plain,
    ! [X22,X23,X24] : multiplication(addition(X22,X23),X24) = addition(multiplication(X22,X24),multiplication(X23,X24)),
    inference(variable_rename,[status(thm)],[distributivity2]) ).

fof(c_0_27,plain,
    ! [X18] : multiplication(one,X18) = X18,
    inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).

fof(c_0_28,plain,
    ! [X13] : addition(X13,X13) = X13,
    inference(variable_rename,[status(thm)],[idempotence]) ).

cnf(c_0_29,plain,
    ( addition(X2,addition(X3,X1)) != addition(X2,X3)
    | leq(X1,addition(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_30,negated_conjecture,
    addition(multiplication(esk2_0,esk3_0),multiplication(esk1_0,esk2_0)) = multiplication(esk2_0,esk3_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_18]) ).

fof(c_0_31,plain,
    ! [X19,X20,X21] : multiplication(X19,addition(X20,X21)) = addition(multiplication(X19,X20),multiplication(X19,X21)),
    inference(variable_rename,[status(thm)],[distributivity1]) ).

fof(c_0_32,plain,
    ! [X17] : multiplication(X17,one) = X17,
    inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).

cnf(c_0_33,plain,
    addition(one,multiplication(X1,star(X1))) = star(X1),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_34,plain,
    multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_35,plain,
    multiplication(one,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

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

fof(c_0_37,plain,
    ! [X27] : addition(one,multiplication(star(X27),X27)) = star(X27),
    inference(variable_rename,[status(thm)],[star_unfold2]) ).

cnf(c_0_38,negated_conjecture,
    leq(multiplication(esk1_0,esk2_0),addition(X1,multiplication(esk2_0,esk3_0))),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_39,plain,
    multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_40,plain,
    multiplication(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_41,plain,
    addition(one,addition(multiplication(X1,star(X1)),X2)) = addition(star(X1),X2),
    inference(spm,[status(thm)],[c_0_22,c_0_33]) ).

cnf(c_0_42,plain,
    addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_18]) ).

cnf(c_0_43,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_22,c_0_36]) ).

cnf(c_0_44,plain,
    addition(one,multiplication(star(X1),X1)) = star(X1),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_45,negated_conjecture,
    leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,addition(X1,esk3_0))),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_46,plain,
    addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_18]) ).

cnf(c_0_47,plain,
    multiplication(addition(X1,one),star(X1)) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_36]),c_0_33]),c_0_42]) ).

cnf(c_0_48,plain,
    addition(one,star(X1)) = star(X1),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

fof(c_0_49,plain,
    ! [X28,X29,X30] :
      ( leq(multiplication(star(X28),X29),X30)
      | ~ leq(addition(multiplication(X28,X30),X29),X30) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction1])])]) ).

cnf(c_0_50,negated_conjecture,
    leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,addition(esk3_0,X1))),
    inference(spm,[status(thm)],[c_0_45,c_0_18]) ).

cnf(c_0_51,plain,
    addition(X1,star(X1)) = star(X1),
    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_46,c_0_47]),c_0_22]),c_0_48]),c_0_18]),c_0_48]),c_0_47]) ).

cnf(c_0_52,plain,
    ( ~ leq(addition(multiplication(X1,X2),X3),X2)
    | leq(multiplication(star(X1),X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,star(esk3_0))),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

fof(c_0_54,plain,
    ! [X14,X15,X16] : multiplication(X14,multiplication(X15,X16)) = multiplication(multiplication(X14,X15),X16),
    inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).

fof(c_0_55,plain,
    ! [X31,X32,X33] :
      ( leq(multiplication(X32,star(X31)),X33)
      | ~ leq(addition(multiplication(X33,X31),X32),X33) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction2])])]) ).

cnf(c_0_56,plain,
    ( ~ leq(multiplication(addition(X1,X2),X3),X3)
    | leq(multiplication(star(X1),multiplication(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_52,c_0_34]) ).

cnf(c_0_57,plain,
    leq(X1,X1),
    inference(spm,[status(thm)],[c_0_17,c_0_36]) ).

cnf(c_0_58,plain,
    ( multiplication(addition(X1,X3),X2) != multiplication(X3,X2)
    | leq(multiplication(X1,X2),multiplication(X3,X2)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_34]) ).

cnf(c_0_59,negated_conjecture,
    addition(multiplication(esk1_0,esk2_0),multiplication(esk2_0,star(esk3_0))) = multiplication(esk2_0,star(esk3_0)),
    inference(spm,[status(thm)],[c_0_23,c_0_53]) ).

cnf(c_0_60,plain,
    multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_61,plain,
    multiplication(addition(one,X1),star(X1)) = star(X1),
    inference(spm,[status(thm)],[c_0_47,c_0_18]) ).

cnf(c_0_62,plain,
    ( ~ leq(addition(multiplication(X1,X2),X3),X1)
    | leq(multiplication(X3,star(X2)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_63,plain,
    leq(multiplication(star(X1),star(X1)),star(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_47]),c_0_35]),c_0_57])]) ).

cnf(c_0_64,negated_conjecture,
    leq(multiplication(esk1_0,multiplication(esk2_0,X1)),multiplication(esk2_0,multiplication(star(esk3_0),X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_60]) ).

cnf(c_0_65,plain,
    multiplication(star(X1),star(star(X1))) = star(star(X1)),
    inference(spm,[status(thm)],[c_0_61,c_0_48]) ).

cnf(c_0_66,plain,
    ( ~ leq(multiplication(X1,X2),X1)
    | leq(multiplication(X1,multiplication(X2,star(X2))),X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_36]),c_0_60]) ).

cnf(c_0_67,plain,
    multiplication(star(X1),star(X1)) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_63]),c_0_18]),c_0_46]),c_0_18]),c_0_48]) ).

cnf(c_0_68,negated_conjecture,
    leq(multiplication(esk1_0,multiplication(esk2_0,star(star(esk3_0)))),multiplication(esk2_0,star(star(esk3_0)))),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_69,plain,
    addition(multiplication(X1,multiplication(X2,X3)),multiplication(X4,X3)) = multiplication(addition(multiplication(X1,X2),X4),X3),
    inference(spm,[status(thm)],[c_0_34,c_0_60]) ).

cnf(c_0_70,plain,
    leq(star(star(X1)),star(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_65]),c_0_65]),c_0_57])]) ).

cnf(c_0_71,plain,
    ( ~ leq(addition(X2,multiplication(X1,X3)),X3)
    | leq(multiplication(star(X1),X2),X3) ),
    inference(spm,[status(thm)],[c_0_52,c_0_18]) ).

cnf(c_0_72,negated_conjecture,
    multiplication(addition(one,esk1_0),multiplication(esk2_0,star(star(esk3_0)))) = multiplication(esk2_0,star(star(esk3_0))),
    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_23,c_0_68]),c_0_69]),c_0_18]),c_0_42]),c_0_18]),c_0_60]) ).

cnf(c_0_73,plain,
    star(star(X1)) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_70]),c_0_18]),c_0_51]) ).

cnf(c_0_74,plain,
    ( multiplication(X1,addition(X2,X3)) != multiplication(X1,X3)
    | leq(multiplication(X1,X2),multiplication(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_39]) ).

cnf(c_0_75,plain,
    ( ~ leq(multiplication(addition(X2,X1),X3),X3)
    | leq(multiplication(star(X1),multiplication(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_71,c_0_34]) ).

cnf(c_0_76,negated_conjecture,
    multiplication(addition(one,esk1_0),multiplication(esk2_0,star(esk3_0))) = multiplication(esk2_0,star(esk3_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73]),c_0_73]) ).

cnf(c_0_77,plain,
    leq(X1,multiplication(X1,star(X2))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_48]),c_0_40]) ).

cnf(c_0_78,negated_conjecture,
    leq(multiplication(star(esk1_0),multiplication(esk2_0,star(esk3_0))),multiplication(esk2_0,star(esk3_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_35]),c_0_57])]) ).

cnf(c_0_79,plain,
    leq(multiplication(X1,X2),multiplication(X1,multiplication(X2,star(X3)))),
    inference(spm,[status(thm)],[c_0_77,c_0_60]) ).

cnf(c_0_80,negated_conjecture,
    multiplication(star(esk1_0),multiplication(esk2_0,star(esk3_0))) = multiplication(esk2_0,star(esk3_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_23,c_0_78]),c_0_69]),c_0_18]),c_0_42]),c_0_18]),c_0_48]),c_0_60]) ).

cnf(c_0_81,negated_conjecture,
    ~ leq(multiplication(star(esk1_0),esk2_0),multiplication(esk2_0,star(esk3_0))),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_82,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KLE160+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.37  % Computer : n019.cluster.edu
% 0.10/5.37  % Model    : x86_64 x86_64
% 0.10/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37  % Memory   : 8046.5625MB
% 0.10/5.37  % OS       : Linux 6.8.0-71-generic
% 0.10/5.37  % CPULimit : 300
% 0.10/5.37  % WCLimit  : 300
% 0.10/5.37  % DateTime : Sun Sep 20 22:47:55 UTC 2026
% 0.10/5.37  % CPUTime  : 
% 0.10/5.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.42  Running first-order theorem proving
% 0.15/5.42  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
% 14.34/7.51  % Version: 3.5.1
% 14.34/7.51  % Preprocessing class: FSMSSMSSSSSNFFN.
% 14.34/7.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.34/7.51  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.34/7.51  % Starting new_bool_3 with 300s (1) cores
% 14.34/7.51  % Starting new_bool_1 with 300s (1) cores
% 14.34/7.51  % Starting sh5l with 300s (1) cores
% 14.34/7.51  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1081748 completed with status 0
% 14.34/7.51  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 14.34/7.51  % Preprocessing class: FSMSSMSSSSSNFFN.
% 14.34/7.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.34/7.51  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.34/7.51  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 14.34/7.51  % No SInE strategy applied
% 14.34/7.51  % Search class: FHUSM-FFSF21-MFFFFFNN
% 14.34/7.51  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 14.34/7.51  % Starting SubtermCWHack with 136s (1) cores
% 14.34/7.51  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.34/7.51  % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 14.34/7.51  % Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 136s (1) cores
% 14.34/7.51  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 14.34/7.51  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 1081759 completed with status 0
% 14.34/7.51  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 14.34/7.51  % Preprocessing class: FSMSSMSSSSSNFFN.
% 14.34/7.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.34/7.51  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.34/7.51  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 14.34/7.51  % No SInE strategy applied
% 14.34/7.51  % Search class: FHUSM-FFSF21-MFFFFFNN
% 14.34/7.51  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 14.34/7.51  % Starting SubtermCWHack with 136s (1) cores
% 14.34/7.51  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.34/7.51  % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 14.34/7.51  % Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 136s (1) cores
% 14.34/7.51  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 14.34/7.51  % Preprocessing time       : 0.001 s
% 14.34/7.51  % Presaturation interreduction done
% 14.34/7.51  
% 14.34/7.51  % Proof found!
% 14.34/7.51  % SZS status Theorem
% 14.34/7.51  % SZS output start CNFRefutation
% See solution above
% 14.34/7.51  % Parsed axioms                        : 19
% 14.34/7.51  % Removed by relevancy pruning/SinE    : 0
% 14.34/7.51  % Initial clauses                      : 21
% 14.34/7.51  % Removed in clause preprocessing      : 0
% 14.34/7.51  % Initial clauses in saturation        : 21
% 14.34/7.51  % Processed clauses                    : 10775
% 14.34/7.51  % ...of these trivial                  : 1139
% 14.34/7.51  % ...subsumed                          : 6675
% 14.34/7.51  % ...remaining for further processing  : 2961
% 14.34/7.51  % Other redundant clauses eliminated   : 182
% 14.34/7.51  % Clauses deleted for lack of memory   : 0
% 14.34/7.51  % Backward-subsumed                    : 20
% 14.34/7.51  % Backward-rewritten                   : 741
% 14.34/7.51  % Generated clauses                    : 109303
% 14.34/7.51  % ...of the previous two non-redundant : 83637
% 14.34/7.51  % ...aggressively subsumed             : 0
% 14.34/7.51  % Contextual simplify-reflections      : 0
% 14.34/7.51  % Paramodulations                      : 109118
% 14.34/7.51  % Factorizations                       : 0
% 14.34/7.51  % NegExts                              : 0
% 14.34/7.51  % Equation resolutions                 : 185
% 14.34/7.51  % Disequality decompositions           : 0
% 14.34/7.51  % Total rewrite steps                  : 122964
% 14.34/7.51  % ...of those cached                   : 107678
% 14.34/7.51  % Propositional unsat checks           : 0
% 14.34/7.51  %    Propositional check models        : 0
% 14.34/7.51  %    Propositional check unsatisfiable : 0
% 14.34/7.51  %    Propositional clauses             : 0
% 14.34/7.51  %    Propositional clauses after purity: 0
% 14.34/7.51  %    Propositional unsat core size     : 0
% 14.34/7.51  %    Propositional preprocessing time  : 0.000
% 14.34/7.51  %    Propositional encoding time       : 0.000
% 14.34/7.51  %    Propositional solver time         : 0.000
% 14.34/7.51  %    Success case prop preproc time    : 0.000
% 14.34/7.51  %    Success case prop encoding time   : 0.000
% 14.34/7.51  %    Success case prop solver time     : 0.000
% 14.34/7.51  % Current number of processed clauses  : 2179
% 14.34/7.51  %    Positive orientable unit clauses  : 955
% 14.34/7.51  %    Positive unorientable unit clauses: 7
% 14.34/7.51  %    Negative unit clauses             : 1
% 14.34/7.51  %    Non-unit-clauses                  : 1216
% 14.34/7.51  % Current number of unprocessed clauses: 72443
% 14.34/7.51  % ...number of literals in the above   : 125757
% 14.34/7.51  % Current number of archived formulas  : 0
% 14.34/7.51  % Current number of archived clauses   : 782
% 14.34/7.51  % Clause-clause subsumption calls (NU) : 222114
% 14.34/7.51  % Rec. Clause-clause subsumption calls : 221820
% 14.34/7.51  % Non-unit clause-clause subsumptions  : 6566
% 14.34/7.51  % Unit Clause-clause subsumption calls : 28164
% 14.34/7.51  % Rewrite failures with RHS unbound    : 0
% 14.34/7.51  % BW rewrite match attempts            : 9661
% 14.34/7.51  % BW rewrite match successes           : 344
% 14.34/7.51  % Condensation attempts                : 0
% 14.34/7.51  % Condensation successes               : 0
% 14.34/7.51  % Termbank termtop insertions          : 1890999
% 14.34/7.51  % Search garbage collected termcells   : 96
% 14.34/7.51  
% 14.34/7.51  % -------------------------------------------------
% 14.34/7.51  % User time                : 1.928 s
% 14.34/7.51  % System time              : 0.082 s
% 14.34/7.51  % Total time               : 2.010 s
% 14.34/7.51  % Maximum resident set size: 3652 pages
% 14.34/7.51  
% 14.34/7.51  % -------------------------------------------------
% 14.34/7.51  % User time                : 9.601 s
% 14.34/7.51  % System time              : 0.452 s
% 14.34/7.51  % Total time               : 10.053 s
% 14.34/7.51  % Maximum resident set size: 4608 pages
% 14.34/7.51  % E exiting
%------------------------------------------------------------------------------