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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : KLE044+2 : 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 12:58:43 PM UTC 2026

% Result   : Theorem 66.84s 10.30s
% Output   : CNFRefutation 76.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   90 (  63 unt;   0 def)
%            Number of atoms       :  119 (  60 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   56 (  27   ~;  23   |;   3   &)
%                                         (   1 <=>;   2  =>;   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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  147 (   1 sgn  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(additive_identity,axiom,
    ! [X1] : addition(X1,zero) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_identity) ).

fof(additive_commutativity,axiom,
    ! [X1,X2] : addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_commutativity) ).

fof(star_induction_right,axiom,
    ! [X1,X2,X3] :
      ( leq(addition(multiplication(X1,X2),X3),X1)
     => leq(multiplication(X3,star(X2)),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_induction_right) ).

fof(right_annihilation,axiom,
    ! [X1] : multiplication(X1,zero) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',right_annihilation) ).

fof(additive_associativity,axiom,
    ! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_associativity) ).

fof(additive_idempotence,axiom,
    ! [X1] : addition(X1,X1) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).

fof(multiplicative_left_identity,axiom,
    ! [X1] : multiplication(one,X1) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_left_identity) ).

fof(order,axiom,
    ! [X1,X2] :
      ( leq(X1,X2)
    <=> addition(X1,X2) = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',order) ).

fof(star_unfold_left,axiom,
    ! [X1] : leq(addition(one,multiplication(star(X1),X1)),star(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_unfold_left) ).

fof(star_unfold_right,axiom,
    ! [X1] : leq(addition(one,multiplication(X1,star(X1))),star(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).

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/KLE002+0.ax',right_distributivity) ).

fof(multiplicative_right_identity,axiom,
    ! [X1] : multiplication(X1,one) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).

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/KLE002+0.ax',left_distributivity) ).

fof(star_induction_left,axiom,
    ! [X1,X2,X3] :
      ( leq(addition(multiplication(X1,X2),X3),X2)
     => leq(multiplication(star(X1),X3),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_induction_left) ).

fof(goals,conjecture,
    ! [X4] :
      ( leq(star(X4),star(addition(one,X4)))
      & leq(star(addition(one,X4)),star(X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(multiplicative_associativity,axiom,
    ! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_associativity) ).

fof(c_0_16,plain,
    ! [X10] : addition(X10,zero) = X10,
    inference(variable_rename,[status(thm)],[additive_identity]) ).

fof(c_0_17,plain,
    ! [X5,X6] : addition(X5,X6) = addition(X6,X5),
    inference(variable_rename,[status(thm)],[additive_commutativity]) ).

fof(c_0_18,plain,
    ! [X32,X33,X34] :
      ( leq(multiplication(X34,star(X33)),X32)
      | ~ leq(addition(multiplication(X32,X33),X34),X32) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction_right])])]) ).

fof(c_0_19,plain,
    ! [X23] : multiplication(X23,zero) = zero,
    inference(variable_rename,[status(thm)],[right_annihilation]) ).

cnf(c_0_20,plain,
    addition(X1,zero) = X1,
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_22,plain,
    ! [X7,X8,X9] : addition(X9,addition(X8,X7)) = addition(addition(X9,X8),X7),
    inference(variable_rename,[status(thm)],[additive_associativity]) ).

fof(c_0_23,plain,
    ! [X11] : addition(X11,X11) = X11,
    inference(variable_rename,[status(thm)],[additive_idempotence]) ).

cnf(c_0_24,plain,
    ( ~ leq(addition(multiplication(X1,X2),X3),X1)
    | leq(multiplication(X3,star(X2)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,plain,
    multiplication(X1,zero) = zero,
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

fof(c_0_27,plain,
    ! [X16] : multiplication(one,X16) = X16,
    inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).

cnf(c_0_28,plain,
    addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    addition(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_30,plain,
    ! [X25,X26] :
      ( ( leq(X25,X26)
        | addition(X25,X26) != X26 )
      & ( addition(X25,X26) = X26
        | ~ leq(X25,X26) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])]) ).

fof(c_0_31,plain,
    ! [X28] : leq(addition(one,multiplication(star(X28),X28)),star(X28)),
    inference(variable_rename,[status(thm)],[star_unfold_left]) ).

fof(c_0_32,plain,
    ! [X27] : leq(addition(one,multiplication(X27,star(X27))),star(X27)),
    inference(variable_rename,[status(thm)],[star_unfold_right]) ).

cnf(c_0_33,plain,
    ( ~ leq(X1,X2)
    | leq(multiplication(X1,star(zero)),X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

cnf(c_0_34,plain,
    multiplication(one,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_35,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_36,plain,
    ( ~ leq(X1,X2)
    | addition(X1,X2) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_37,plain,
    leq(addition(one,multiplication(star(X1),X1)),star(X1)),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_38,plain,
    ! [X17,X18,X19] : multiplication(X17,addition(X18,X19)) = addition(multiplication(X17,X18),multiplication(X17,X19)),
    inference(variable_rename,[status(thm)],[right_distributivity]) ).

fof(c_0_39,plain,
    ! [X15] : multiplication(X15,one) = X15,
    inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).

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

cnf(c_0_41,plain,
    ( ~ leq(one,X1)
    | leq(star(zero),X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

fof(c_0_42,plain,
    ! [X20,X21,X22] : multiplication(addition(X20,X21),X22) = addition(multiplication(X20,X22),multiplication(X21,X22)),
    inference(variable_rename,[status(thm)],[left_distributivity]) ).

cnf(c_0_43,plain,
    addition(X1,addition(X2,X1)) = addition(X2,X1),
    inference(spm,[status(thm)],[c_0_35,c_0_21]) ).

cnf(c_0_44,plain,
    addition(one,addition(star(X1),multiplication(star(X1),X1))) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_28]),c_0_21]) ).

cnf(c_0_45,plain,
    multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

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

cnf(c_0_47,plain,
    addition(one,addition(star(X1),multiplication(X1,star(X1)))) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_40]),c_0_28]),c_0_21]) ).

cnf(c_0_48,plain,
    ( ~ leq(one,X1)
    | addition(star(zero),X1) = X1 ),
    inference(spm,[status(thm)],[c_0_36,c_0_41]) ).

cnf(c_0_49,plain,
    multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_50,plain,
    addition(star(X1),multiplication(star(X1),X1)) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_28]),c_0_21]),c_0_35]) ).

cnf(c_0_51,plain,
    addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_21]) ).

cnf(c_0_52,plain,
    addition(one,star(X1)) = star(X1),
    inference(spm,[status(thm)],[c_0_35,c_0_47]) ).

cnf(c_0_53,plain,
    ( ~ leq(one,X1)
    | addition(X1,star(zero)) = X1 ),
    inference(spm,[status(thm)],[c_0_21,c_0_48]) ).

fof(c_0_54,plain,
    ! [X29,X30,X31] :
      ( leq(multiplication(star(X29),X31),X30)
      | ~ leq(addition(multiplication(X29,X30),X31),X30) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction_left])])]) ).

cnf(c_0_55,plain,
    addition(star(X1),multiplication(X1,star(X1))) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_47]),c_0_28]),c_0_21]),c_0_35]) ).

cnf(c_0_56,plain,
    addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_34]),c_0_21]) ).

cnf(c_0_57,plain,
    multiplication(star(X1),addition(X1,one)) = star(X1),
    inference(rw,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_58,plain,
    ( ~ leq(addition(X1,multiplication(X3,X2)),X3)
    | leq(multiplication(X1,star(X2)),X3) ),
    inference(spm,[status(thm)],[c_0_24,c_0_21]) ).

cnf(c_0_59,plain,
    ( ~ leq(addition(multiplication(X1,X2),X3),X1)
    | leq(multiplication(addition(multiplication(X1,X2),X3),star(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_35]) ).

cnf(c_0_60,plain,
    ( ~ leq(one,one)
    | star(zero) = one ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_61,plain,
    ( addition(X1,X2) != X2
    | leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_62,plain,
    ( ~ leq(addition(multiplication(X1,X2),X3),X2)
    | leq(multiplication(star(X1),X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_63,plain,
    multiplication(addition(X1,one),star(X1)) = star(X1),
    inference(rw,[status(thm)],[c_0_55,c_0_56]) ).

fof(c_0_64,negated_conjecture,
    ~ ! [X4] :
        ( leq(star(X4),star(addition(one,X4)))
        & leq(star(addition(one,X4)),star(X4)) ),
    inference(assume_negation,[status(cth)],[goals]) ).

cnf(c_0_65,plain,
    ( ~ leq(addition(star(X2),X1),star(X2))
    | leq(multiplication(X1,star(addition(X2,one))),star(X2)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_57]) ).

cnf(c_0_66,plain,
    leq(star(X1),star(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_37]),c_0_34]) ).

fof(c_0_67,plain,
    ! [X12,X13,X14] : multiplication(X12,multiplication(X13,X14)) = multiplication(multiplication(X12,X13),X14),
    inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).

cnf(c_0_68,plain,
    ( ~ leq(addition(multiplication(X1,X2),X3),X1)
    | addition(X1,multiplication(addition(multiplication(X1,X2),X3),star(X2))) = X1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_59]),c_0_21]) ).

cnf(c_0_69,plain,
    star(zero) = one,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_29])]) ).

cnf(c_0_70,plain,
    ( ~ leq(multiplication(X1,X2),X2)
    | leq(multiplication(star(X1),multiplication(X1,X2)),X2) ),
    inference(spm,[status(thm)],[c_0_62,c_0_29]) ).

cnf(c_0_71,plain,
    multiplication(addition(one,X1),star(X1)) = star(X1),
    inference(spm,[status(thm)],[c_0_63,c_0_21]) ).

cnf(c_0_72,plain,
    addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
    inference(spm,[status(thm)],[c_0_49,c_0_34]) ).

fof(c_0_73,negated_conjecture,
    ( ~ leq(star(esk1_0),star(addition(one,esk1_0)))
    | ~ leq(star(addition(one,esk1_0)),star(esk1_0)) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])])]) ).

cnf(c_0_74,plain,
    leq(star(addition(X1,one)),star(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_34]),c_0_21]),c_0_52]),c_0_66])]) ).

cnf(c_0_75,plain,
    ( ~ leq(addition(X1,multiplication(X2,X3)),X2)
    | leq(multiplication(addition(X1,multiplication(X2,X3)),star(X3)),X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_43]) ).

cnf(c_0_76,plain,
    addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_77,plain,
    multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_78,plain,
    ( ~ leq(X2,X1)
    | addition(X1,X2) = 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_68,c_0_69]),c_0_25]),c_0_26]),c_0_46]),c_0_25]),c_0_26]) ).

cnf(c_0_79,plain,
    leq(multiplication(star(addition(one,X1)),star(X1)),star(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_66])]) ).

cnf(c_0_80,plain,
    addition(X1,multiplication(star(X2),X1)) = multiplication(star(X2),X1),
    inference(spm,[status(thm)],[c_0_72,c_0_52]) ).

cnf(c_0_81,plain,
    multiplication(star(X1),addition(one,X1)) = star(X1),
    inference(spm,[status(thm)],[c_0_57,c_0_21]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ leq(star(esk1_0),star(addition(one,esk1_0)))
    | ~ leq(star(addition(one,esk1_0)),star(esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_83,plain,
    leq(star(addition(one,X1)),star(X1)),
    inference(spm,[status(thm)],[c_0_74,c_0_21]) ).

cnf(c_0_84,plain,
    ( ~ leq(multiplication(X1,addition(one,X2)),X1)
    | leq(multiplication(X1,star(X2)),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_71]) ).

cnf(c_0_85,plain,
    multiplication(star(addition(one,X1)),star(X1)) = star(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).

cnf(c_0_86,plain,
    multiplication(star(addition(one,X1)),addition(one,X1)) = star(addition(one,X1)),
    inference(spm,[status(thm)],[c_0_81,c_0_35]) ).

cnf(c_0_87,negated_conjecture,
    ~ leq(star(esk1_0),star(addition(one,esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]) ).

cnf(c_0_88,plain,
    leq(star(X1),star(addition(one,X1))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_66])]) ).

cnf(c_0_89,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KLE044+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n019.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 20 22:40:49 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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
% 66.84/10.30  % Version: 3.5.1
% 66.84/10.30  % Preprocessing class: FSMSSMSSSSSNFFN.
% 66.84/10.30  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 66.84/10.30  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 66.84/10.30  % Starting new_bool_3 with 300s (1) cores
% 66.84/10.30  % Starting new_bool_1 with 300s (1) cores
% 66.84/10.30  % Starting sh5l with 300s (1) cores
% 66.84/10.30  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1071199 completed with status 0
% 66.84/10.30  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 66.84/10.30  % Preprocessing class: FSMSSMSSSSSNFFN.
% 66.84/10.30  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 66.84/10.30  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 66.84/10.30  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 66.84/10.30  % No SInE strategy applied
% 66.84/10.30  % Search class: FHHSM-FFSF21-MFFFFFNN
% 66.84/10.30  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 66.84/10.30  % Starting SubtermCWHack with 136s (1) cores
% 66.84/10.30  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 66.84/10.30  % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 66.84/10.30  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 66.84/10.30  % Starting new_bool_3 with 136s (1) cores
% 66.84/10.30  % SubtermCWHack with pid 1071204 completed with status 0
% 66.84/10.30  % Result found by SubtermCWHack
% 66.84/10.30  % Preprocessing class: FSMSSMSSSSSNFFN.
% 66.84/10.30  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 66.84/10.30  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 66.84/10.30  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 66.84/10.30  % No SInE strategy applied
% 66.84/10.30  % Search class: FHHSM-FFSF21-MFFFFFNN
% 66.84/10.30  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 66.84/10.30  % Starting SubtermCWHack with 136s (1) cores
% 66.84/10.30  % Preprocessing time       : 0.001 s
% 66.84/10.30  
% 66.84/10.30  % Proof found!
% 66.84/10.30  % SZS status Theorem
% 66.84/10.30  % SZS output start CNFRefutation
% See solution above
% 76.81/10.30  % Parsed axioms                        : 17
% 76.81/10.30  % Removed by relevancy pruning/SinE    : 0
% 76.81/10.30  % Initial clauses                      : 18
% 76.81/10.30  % Removed in clause preprocessing      : 0
% 76.81/10.30  % Initial clauses in saturation        : 18
% 76.81/10.30  % Processed clauses                    : 18240
% 76.81/10.30  % ...of these trivial                  : 760
% 76.81/10.30  % ...subsumed                          : 16220
% 76.81/10.30  % ...remaining for further processing  : 1260
% 76.81/10.30  % Other redundant clauses eliminated   : 92
% 76.81/10.30  % Clauses deleted for lack of memory   : 0
% 76.81/10.30  % Backward-subsumed                    : 78
% 76.81/10.30  % Backward-rewritten                   : 116
% 76.81/10.30  % Generated clauses                    : 372252
% 76.81/10.30  % ...of the previous two non-redundant : 344708
% 76.81/10.30  % ...aggressively subsumed             : 0
% 76.81/10.30  % Contextual simplify-reflections      : 1
% 76.81/10.30  % Paramodulations                      : 372160
% 76.81/10.30  % Factorizations                       : 0
% 76.81/10.30  % NegExts                              : 0
% 76.81/10.30  % Equation resolutions                 : 92
% 76.81/10.30  % Disequality decompositions           : 0
% 76.81/10.30  % Total rewrite steps                  : 411481
% 76.81/10.30  % ...of those cached                   : 356081
% 76.81/10.30  % Propositional unsat checks           : 0
% 76.81/10.30  %    Propositional check models        : 0
% 76.81/10.30  %    Propositional check unsatisfiable : 0
% 76.81/10.30  %    Propositional clauses             : 0
% 76.81/10.30  %    Propositional clauses after purity: 0
% 76.81/10.30  %    Propositional unsat core size     : 0
% 76.81/10.30  %    Propositional preprocessing time  : 0.000
% 76.81/10.30  %    Propositional encoding time       : 0.000
% 76.81/10.30  %    Propositional solver time         : 0.000
% 76.81/10.30  %    Success case prop preproc time    : 0.000
% 76.81/10.30  %    Success case prop encoding time   : 0.000
% 76.81/10.30  %    Success case prop solver time     : 0.000
% 76.81/10.30  % Current number of processed clauses  : 1066
% 76.81/10.30  %    Positive orientable unit clauses  : 253
% 76.81/10.30  %    Positive unorientable unit clauses: 62
% 76.81/10.30  %    Negative unit clauses             : 198
% 76.81/10.30  %    Non-unit-clauses                  : 553
% 76.81/10.30  % Current number of unprocessed clauses: 325791
% 76.81/10.30  % ...number of literals in the above   : 629859
% 76.81/10.30  % Current number of archived formulas  : 0
% 76.81/10.30  % Current number of archived clauses   : 194
% 76.81/10.30  % Clause-clause subsumption calls (NU) : 58333
% 76.81/10.30  % Rec. Clause-clause subsumption calls : 58319
% 76.81/10.30  % Non-unit clause-clause subsumptions  : 3771
% 76.81/10.30  % Unit Clause-clause subsumption calls : 10779
% 76.81/10.30  % Rewrite failures with RHS unbound    : 0
% 76.81/10.30  % BW rewrite match attempts            : 3795
% 76.81/10.30  % BW rewrite match successes           : 238
% 76.81/10.30  % Condensation attempts                : 0
% 76.81/10.30  % Condensation successes               : 0
% 76.81/10.30  % Termbank termtop insertions          : 6111775
% 76.81/10.30  % Search garbage collected termcells   : 70
% 76.81/10.30  
% 76.81/10.30  % -------------------------------------------------
% 76.81/10.30  % User time                : 9.143 s
% 76.81/10.30  % System time              : 0.377 s
% 76.81/10.30  % Total time               : 9.520 s
% 76.81/10.30  % Maximum resident set size: 3648 pages
% 76.81/10.30  
% 76.81/10.30  % -------------------------------------------------
% 76.81/10.30  % User time                : 46.308 s
% 76.81/10.30  % System time              : 1.668 s
% 76.81/10.30  % Total time               : 47.976 s
% 76.81/10.30  % Maximum resident set size: 4864 pages
% 76.81/10.30  % E exiting
%------------------------------------------------------------------------------