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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : KLE043+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 14.89s 2.65s
% Output   : CNFRefutation 14.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   73 (  47 unt;   0 def)
%            Number of atoms       :  101 (  61 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   58 (  30   ~;  22   |;   3   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    9 (   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   :  118 (   2 sgn  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(star_induction_right,axiom,
    ! [X1,X2,X3] :
      ( leq(addition(multiplication(X1,X2),X3),X1)
     => leq(multiplication(X3,star(X2)),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_induction_right) ).

fof(multiplicative_left_identity,axiom,
    ! [X1] : multiplication(one,X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_left_identity) ).

fof(star_unfold_right,axiom,
    ! [X1] : leq(addition(one,multiplication(X1,star(X1))),star(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).

fof(left_annihilation,axiom,
    ! [X1] : multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',left_annihilation) ).

fof(additive_identity,axiom,
    ! [X1] : addition(X1,zero) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_identity) ).

fof(order,axiom,
    ! [X1,X2] :
      ( leq(X1,X2)
    <=> addition(X1,X2) = X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',order) ).

fof(additive_commutativity,axiom,
    ! [X1,X2] : addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_commutativity) ).

fof(goals,conjecture,
    ! [X4,X5] :
      ( leq(addition(X5,multiplication(multiplication(X4,star(X4)),X5)),multiplication(star(X4),X5))
      & leq(multiplication(star(X4),X5),addition(X5,multiplication(multiplication(X4,star(X4)),X5))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(star_induction_left,axiom,
    ! [X1,X2,X3] :
      ( leq(addition(multiplication(X1,X2),X3),X2)
     => leq(multiplication(star(X1),X3),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_induction_left) ).

fof(additive_idempotence,axiom,
    ! [X1] : addition(X1,X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).

fof(multiplicative_associativity,axiom,
    ! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_associativity) ).

fof(additive_associativity,axiom,
    ! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_associativity) ).

fof(multiplicative_right_identity,axiom,
    ! [X1] : multiplication(X1,one) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).

fof(right_annihilation,axiom,
    ! [X1] : multiplication(X1,zero) = zero,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',right_annihilation) ).

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

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

fof(c_0_16,plain,
    ! [X33,X34,X35] :
      ( leq(multiplication(X35,star(X34)),X33)
      | ~ leq(addition(multiplication(X33,X34),X35),X33) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction_right])])]) ).

fof(c_0_17,plain,
    ! [X17] : multiplication(one,X17) = X17,
    inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).

cnf(c_0_18,plain,
    ( ~ leq(addition(multiplication(X1,X2),X3),X1)
    | leq(multiplication(X3,star(X2)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_19,plain,
    multiplication(one,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_20,plain,
    ! [X28] : leq(addition(one,multiplication(X28,star(X28))),star(X28)),
    inference(variable_rename,[status(thm)],[star_unfold_right]) ).

fof(c_0_21,plain,
    ! [X25] : multiplication(zero,X25) = zero,
    inference(variable_rename,[status(thm)],[left_annihilation]) ).

fof(c_0_22,plain,
    ! [X11] : addition(X11,zero) = X11,
    inference(variable_rename,[status(thm)],[additive_identity]) ).

fof(c_0_23,plain,
    ! [X26,X27] :
      ( ( leq(X26,X27)
        | addition(X26,X27) != X27 )
      & ( addition(X26,X27) = X27
        | ~ leq(X26,X27) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])]) ).

cnf(c_0_24,plain,
    ( ~ leq(addition(X2,X1),one)
    | leq(multiplication(X1,star(X2)),one) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

fof(c_0_25,plain,
    ! [X6,X7] : addition(X6,X7) = addition(X7,X6),
    inference(variable_rename,[status(thm)],[additive_commutativity]) ).

cnf(c_0_26,plain,
    leq(addition(one,multiplication(X1,star(X1))),star(X1)),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    multiplication(zero,X1) = zero,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

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

cnf(c_0_29,plain,
    ( ~ leq(X1,X2)
    | addition(X1,X2) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_30,plain,
    ( ~ leq(addition(X1,one),one)
    | leq(star(X1),one) ),
    inference(spm,[status(thm)],[c_0_24,c_0_19]) ).

cnf(c_0_31,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_32,plain,
    leq(one,star(zero)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).

fof(c_0_33,negated_conjecture,
    ~ ! [X4,X5] :
        ( leq(addition(X5,multiplication(multiplication(X4,star(X4)),X5)),multiplication(star(X4),X5))
        & leq(multiplication(star(X4),X5),addition(X5,multiplication(multiplication(X4,star(X4)),X5))) ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_34,plain,
    ! [X30,X31,X32] :
      ( leq(multiplication(star(X30),X32),X31)
      | ~ leq(addition(multiplication(X30,X31),X32),X31) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction_left])])]) ).

cnf(c_0_35,plain,
    ( ~ leq(addition(X1,one),one)
    | addition(one,star(X1)) = one ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_36,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_28,c_0_31]) ).

cnf(c_0_37,plain,
    addition(one,star(zero)) = star(zero),
    inference(spm,[status(thm)],[c_0_29,c_0_32]) ).

fof(c_0_38,plain,
    ! [X12] : addition(X12,X12) = X12,
    inference(variable_rename,[status(thm)],[additive_idempotence]) ).

fof(c_0_39,negated_conjecture,
    ( ~ leq(addition(esk2_0,multiplication(multiplication(esk1_0,star(esk1_0)),esk2_0)),multiplication(star(esk1_0),esk2_0))
    | ~ leq(multiplication(star(esk1_0),esk2_0),addition(esk2_0,multiplication(multiplication(esk1_0,star(esk1_0)),esk2_0))) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).

cnf(c_0_40,plain,
    ( ~ leq(addition(multiplication(X1,X2),X3),X2)
    | leq(multiplication(star(X1),X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_41,plain,
    ( addition(X1,X2) != X2
    | leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_42,plain,
    ! [X13,X14,X15] : multiplication(X13,multiplication(X14,X15)) = multiplication(multiplication(X13,X14),X15),
    inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).

fof(c_0_43,plain,
    ! [X8,X9,X10] : addition(X10,addition(X9,X8)) = addition(addition(X10,X9),X8),
    inference(variable_rename,[status(thm)],[additive_associativity]) ).

cnf(c_0_44,plain,
    ( ~ leq(one,one)
    | star(zero) = one ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).

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

fof(c_0_46,plain,
    ! [X16] : multiplication(X16,one) = X16,
    inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).

fof(c_0_47,plain,
    ! [X24] : multiplication(X24,zero) = zero,
    inference(variable_rename,[status(thm)],[right_annihilation]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ leq(addition(esk2_0,multiplication(multiplication(esk1_0,star(esk1_0)),esk2_0)),multiplication(star(esk1_0),esk2_0))
    | ~ leq(multiplication(star(esk1_0),esk2_0),addition(esk2_0,multiplication(multiplication(esk1_0,star(esk1_0)),esk2_0))) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_49,plain,
    ( addition(X3,addition(multiplication(X1,X3),X2)) != X3
    | leq(multiplication(star(X1),X2),X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_31]) ).

cnf(c_0_50,plain,
    multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_51,plain,
    addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_52,plain,
    ( addition(X3,addition(multiplication(X3,X2),X1)) != X3
    | leq(multiplication(X1,star(X2)),X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_41]),c_0_31]) ).

cnf(c_0_53,plain,
    star(zero) = one,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_41]),c_0_45])]) ).

cnf(c_0_54,plain,
    multiplication(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_55,plain,
    multiplication(X1,zero) = zero,
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ leq(addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0))),multiplication(star(esk1_0),esk2_0))
    | addition(esk2_0,addition(multiplication(esk1_0,multiplication(star(esk1_0),esk2_0)),addition(esk2_0,multiplication(esk1_0,addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0))))))) != addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_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_48,c_0_49]),c_0_50]),c_0_50]),c_0_50]),c_0_31]),c_0_51]),c_0_50]) ).

cnf(c_0_57,plain,
    ( addition(X2,X1) != X2
    | leq(X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]),c_0_36]) ).

fof(c_0_58,plain,
    ! [X18,X19,X20] : multiplication(X18,addition(X19,X20)) = addition(multiplication(X18,X19),multiplication(X18,X20)),
    inference(variable_rename,[status(thm)],[right_distributivity]) ).

cnf(c_0_59,negated_conjecture,
    ( addition(multiplication(star(esk1_0),esk2_0),addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0)))) != multiplication(star(esk1_0),esk2_0)
    | addition(esk2_0,addition(multiplication(esk1_0,multiplication(star(esk1_0),esk2_0)),addition(esk2_0,multiplication(esk1_0,addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0))))))) != addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0))) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_60,plain,
    addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
    inference(spm,[status(thm)],[c_0_31,c_0_51]) ).

cnf(c_0_61,plain,
    multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

fof(c_0_62,plain,
    ! [X21,X22,X23] : multiplication(addition(X21,X22),X23) = addition(multiplication(X21,X23),multiplication(X22,X23)),
    inference(variable_rename,[status(thm)],[left_distributivity]) ).

cnf(c_0_63,negated_conjecture,
    ( addition(esk2_0,addition(multiplication(star(esk1_0),esk2_0),multiplication(esk1_0,multiplication(star(esk1_0),esk2_0)))) != multiplication(star(esk1_0),esk2_0)
    | addition(esk2_0,addition(esk2_0,multiplication(esk1_0,addition(esk2_0,addition(multiplication(star(esk1_0),esk2_0),multiplication(esk1_0,multiplication(star(esk1_0),esk2_0))))))) != addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_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)],[c_0_59,c_0_60]),c_0_61]),c_0_51]),c_0_31]),c_0_60]),c_0_31]) ).

cnf(c_0_64,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_51,c_0_45]) ).

cnf(c_0_65,plain,
    multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_66,negated_conjecture,
    ( addition(esk2_0,addition(multiplication(star(esk1_0),esk2_0),multiplication(esk1_0,multiplication(star(esk1_0),esk2_0)))) != multiplication(star(esk1_0),esk2_0)
    | addition(esk2_0,multiplication(esk1_0,addition(esk2_0,addition(multiplication(star(esk1_0),esk2_0),multiplication(esk1_0,multiplication(star(esk1_0),esk2_0)))))) != addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0))) ),
    inference(rw,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_67,plain,
    addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_19]),c_0_31]) ).

cnf(c_0_68,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_29,c_0_26]),c_0_51]),c_0_31]) ).

cnf(c_0_69,negated_conjecture,
    ( addition(esk2_0,multiplication(addition(esk1_0,one),multiplication(star(esk1_0),esk2_0))) != multiplication(star(esk1_0),esk2_0)
    | addition(esk2_0,multiplication(esk1_0,addition(esk2_0,multiplication(addition(esk1_0,one),multiplication(star(esk1_0),esk2_0))))) != addition(esk2_0,multiplication(esk1_0,multiplication(star(esk1_0),esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67]),c_0_67]) ).

cnf(c_0_70,plain,
    addition(X1,multiplication(X2,multiplication(X3,X1))) = multiplication(addition(one,multiplication(X2,X3)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_50]),c_0_31]) ).

cnf(c_0_71,plain,
    addition(one,multiplication(addition(X1,one),star(X1))) = star(X1),
    inference(rw,[status(thm)],[c_0_68,c_0_67]) ).

cnf(c_0_72,negated_conjecture,
    $false,
    inference(cn,[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_69,c_0_70]),c_0_71]),c_0_70]),c_0_70]),c_0_70]),c_0_71])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KLE043+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.36  % Computer : n013.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8046.5625MB
% 0.13/0.36  % OS       : Linux 6.8.0-71-generic
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Sun Sep 20 22:40:06 UTC 2026
% 0.13/0.37  % CPUTime  : 
% 0.13/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42  Running first-order theorem proving
% 0.15/0.42  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 14.89/2.65  % Version: 3.5.1
% 14.89/2.65  % Preprocessing class: FSMSSMSSSSSNFFN.
% 14.89/2.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.89/2.65  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.89/2.65  % Starting new_bool_3 with 300s (1) cores
% 14.89/2.65  % Starting new_bool_1 with 300s (1) cores
% 14.89/2.65  % Starting sh5l with 300s (1) cores
% 14.89/2.65  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3564712 completed with status 0
% 14.89/2.65  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 14.89/2.65  % Preprocessing class: FSMSSMSSSSSNFFN.
% 14.89/2.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.89/2.65  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.89/2.65  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 14.89/2.65  % No SInE strategy applied
% 14.89/2.65  % Search class: FHHSM-FFSF21-MFFFFFNN
% 14.89/2.65  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 14.89/2.65  % Starting SubtermCWHack with 136s (1) cores
% 14.89/2.65  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.89/2.65  % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 14.89/2.65  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 14.89/2.65  % Starting new_bool_3 with 136s (1) cores
% 14.89/2.65  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with pid 3564721 completed with status 0
% 14.89/2.65  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I
% 14.89/2.65  % Preprocessing class: FSMSSMSSSSSNFFN.
% 14.89/2.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.89/2.65  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.89/2.65  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 14.89/2.65  % No SInE strategy applied
% 14.89/2.65  % Search class: FHHSM-FFSF21-MFFFFFNN
% 14.89/2.65  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 14.89/2.65  % Starting SubtermCWHack with 136s (1) cores
% 14.89/2.65  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.89/2.65  % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 14.89/2.65  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 14.89/2.65  % Preprocessing time       : 0.002 s
% 14.89/2.65  % Presaturation interreduction done
% 14.89/2.65  
% 14.89/2.65  % Proof found!
% 14.89/2.65  % SZS status Theorem
% 14.89/2.65  % SZS output start CNFRefutation
% See solution above
% 14.89/2.65  % Parsed axioms                        : 17
% 14.89/2.65  % Removed by relevancy pruning/SinE    : 0
% 14.89/2.65  % Initial clauses                      : 18
% 14.89/2.65  % Removed in clause preprocessing      : 0
% 14.89/2.65  % Initial clauses in saturation        : 18
% 14.89/2.65  % Processed clauses                    : 7013
% 14.89/2.65  % ...of these trivial                  : 185
% 14.89/2.65  % ...subsumed                          : 5896
% 14.89/2.65  % ...remaining for further processing  : 932
% 14.89/2.65  % Other redundant clauses eliminated   : 264
% 14.89/2.65  % Clauses deleted for lack of memory   : 0
% 14.89/2.65  % Backward-subsumed                    : 54
% 14.89/2.65  % Backward-rewritten                   : 166
% 14.89/2.65  % Generated clauses                    : 60176
% 14.89/2.65  % ...of the previous two non-redundant : 50607
% 14.89/2.65  % ...aggressively subsumed             : 0
% 14.89/2.65  % Contextual simplify-reflections      : 6
% 14.89/2.65  % Paramodulations                      : 59912
% 14.89/2.65  % Factorizations                       : 0
% 14.89/2.65  % NegExts                              : 0
% 14.89/2.65  % Equation resolutions                 : 264
% 14.89/2.65  % Disequality decompositions           : 0
% 14.89/2.65  % Total rewrite steps                  : 81348
% 14.89/2.65  % ...of those cached                   : 72443
% 14.89/2.65  % Propositional unsat checks           : 0
% 14.89/2.65  %    Propositional check models        : 0
% 14.89/2.65  %    Propositional check unsatisfiable : 0
% 14.89/2.65  %    Propositional clauses             : 0
% 14.89/2.65  %    Propositional clauses after purity: 0
% 14.89/2.65  %    Propositional unsat core size     : 0
% 14.89/2.65  %    Propositional preprocessing time  : 0.000
% 14.89/2.65  %    Propositional encoding time       : 0.000
% 14.89/2.65  %    Propositional solver time         : 0.000
% 14.89/2.65  %    Success case prop preproc time    : 0.000
% 14.89/2.65  %    Success case prop encoding time   : 0.000
% 14.89/2.65  %    Success case prop solver time     : 0.000
% 14.89/2.65  % Current number of processed clauses  : 694
% 14.89/2.65  %    Positive orientable unit clauses  : 89
% 14.89/2.65  %    Positive unorientable unit clauses: 16
% 14.89/2.65  %    Negative unit clauses             : 2
% 14.89/2.65  %    Non-unit-clauses                  : 587
% 14.89/2.65  % Current number of unprocessed clauses: 43092
% 14.89/2.65  % ...number of literals in the above   : 92184
% 14.89/2.65  % Current number of archived formulas  : 0
% 14.89/2.65  % Current number of archived clauses   : 238
% 14.89/2.65  % Clause-clause subsumption calls (NU) : 66554
% 14.89/2.65  % Rec. Clause-clause subsumption calls : 51569
% 14.89/2.65  % Non-unit clause-clause subsumptions  : 4265
% 14.89/2.65  % Unit Clause-clause subsumption calls : 309
% 14.89/2.65  % Rewrite failures with RHS unbound    : 0
% 14.89/2.65  % BW rewrite match attempts            : 981
% 14.89/2.65  % BW rewrite match successes           : 256
% 14.89/2.65  % Condensation attempts                : 0
% 14.89/2.65  % Condensation successes               : 0
% 14.89/2.65  % Termbank termtop insertions          : 904857
% 14.89/2.65  % Search garbage collected termcells   : 76
% 14.89/2.65  
% 14.89/2.65  % -------------------------------------------------
% 14.89/2.65  % User time                : 2.056 s
% 14.89/2.65  % System time              : 0.070 s
% 14.89/2.65  % Total time               : 2.127 s
% 14.89/2.65  % Maximum resident set size: 3612 pages
% 14.89/2.65  
% 14.89/2.65  % -------------------------------------------------
% 14.89/2.65  % User time                : 10.046 s
% 14.89/2.65  % System time              : 0.394 s
% 14.89/2.65  % Total time               : 10.440 s
% 14.89/2.65  % Maximum resident set size: 4608 pages
% 14.89/2.65  % E exiting
%------------------------------------------------------------------------------