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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : KLE027+4 : 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 : n015.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 12:58:40 PM UTC 2026

% Result   : Theorem 0.85s 0.56s
% Output   : CNFRefutation 0.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   61 (  37 unt;   0 def)
%            Number of atoms       :  109 (  65 equ)
%            Maximal formula atoms :   10 (   1 avg)
%            Number of connectives :   85 (  37   ~;  29   |;  13   &)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   97 (   3 sgn  58   !;   0   ?)

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

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

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

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

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(c_0_13,negated_conjecture,
    ~ ! [X4,X5,X6,X7,X8] :
        ( ( test(X8)
          & test(X7) )
       => ( leq(addition(multiplication(X7,X4),multiplication(c(X7),X6)),addition(multiplication(X7,addition(multiplication(X7,X4),multiplication(c(X7),X5))),multiplication(c(X7),X6)))
          & leq(addition(multiplication(X7,addition(multiplication(X7,X4),multiplication(c(X7),X5))),multiplication(c(X7),X6)),addition(multiplication(X7,X4),multiplication(c(X7),X6))) ) ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_14,plain,
    ! [X37,X38] :
      ( ( ~ test(X37)
        | c(X37) = X38
        | ~ complement(X37,X38) )
      & ( ~ test(X37)
        | complement(X37,X38)
        | c(X37) != X38 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_3])])])]) ).

fof(c_0_15,negated_conjecture,
    ( ( ~ leq(addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),addition(multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))),multiplication(c(esk5_0),esk4_0)))
      | ~ leq(addition(multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))),multiplication(c(esk5_0),esk4_0)),addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0))) )
    & test(esk6_0)
    & test(esk5_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).

fof(c_0_16,plain,
    ! [X9,X10] : addition(X9,X10) = addition(X10,X9),
    inference(variable_rename,[status(thm)],[additive_commutativity]) ).

fof(c_0_17,plain,
    ! [X35,X36] :
      ( ( complement(X36,X35)
        | addition(X35,X36) != one
        | multiplication(X36,X35) != zero
        | multiplication(X35,X36) != zero )
      & ( ~ complement(X36,X35)
        | addition(X35,X36) = one )
      & ( ~ complement(X36,X35)
        | multiplication(X36,X35) = zero )
      & ( ~ complement(X36,X35)
        | multiplication(X35,X36) = 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_18,plain,
    ( ~ test(X1)
    | c(X1) != X2
    | complement(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ leq(addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),addition(multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))),multiplication(c(esk5_0),esk4_0)))
    | ~ leq(addition(multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))),multiplication(c(esk5_0),esk4_0)),addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0))) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_21,plain,
    ! [X29,X30] :
      ( ( leq(X29,X30)
        | addition(X29,X30) != X30 )
      & ( addition(X29,X30) = X30
        | ~ leq(X29,X30) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])]) ).

cnf(c_0_22,plain,
    ( ~ complement(X2,X1)
    | multiplication(X1,X2) = zero ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_23,plain,
    ( ~ test(X1)
    | complement(X1,c(X1)) ),
    inference(er,[status(thm)],[c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ leq(addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))),addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)))
    | ~ leq(addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_20]) ).

cnf(c_0_25,plain,
    ( addition(X1,X2) != X2
    | leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,plain,
    ( ~ complement(X1,X2)
    | multiplication(X1,X2) = zero ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_27,plain,
    ! [X24,X25,X26] : multiplication(addition(X24,X25),X26) = addition(multiplication(X24,X26),multiplication(X25,X26)),
    inference(variable_rename,[status(thm)],[left_distributivity]) ).

cnf(c_0_28,plain,
    ( ~ test(X1)
    | multiplication(c(X1),X1) = zero ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,negated_conjecture,
    test(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_30,plain,
    ! [X14] : addition(X14,zero) = X14,
    inference(variable_rename,[status(thm)],[additive_identity]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ leq(addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))))
    | addition(addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))))) != addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_20]) ).

fof(c_0_32,plain,
    ! [X11,X12,X13] : addition(X13,addition(X12,X11)) = addition(addition(X13,X12),X11),
    inference(variable_rename,[status(thm)],[additive_associativity]) ).

fof(c_0_33,plain,
    ! [X15] : addition(X15,X15) = X15,
    inference(variable_rename,[status(thm)],[additive_idempotence]) ).

fof(c_0_34,plain,
    ! [X16,X17,X18] : multiplication(X16,multiplication(X17,X18)) = multiplication(multiplication(X16,X17),X18),
    inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).

cnf(c_0_35,plain,
    ( ~ test(X1)
    | multiplication(X1,c(X1)) = zero ),
    inference(spm,[status(thm)],[c_0_26,c_0_23]) ).

fof(c_0_36,plain,
    ! [X28] : multiplication(zero,X28) = zero,
    inference(variable_rename,[status(thm)],[left_annihilation]) ).

cnf(c_0_37,plain,
    multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_38,negated_conjecture,
    multiplication(c(esk5_0),esk5_0) = zero,
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_39,plain,
    addition(X1,zero) = X1,
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_40,plain,
    ( ~ complement(X2,X1)
    | addition(X1,X2) = one ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_41,plain,
    ! [X20] : multiplication(one,X20) = X20,
    inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).

cnf(c_0_42,negated_conjecture,
    ( addition(addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))))) != addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0))
    | addition(addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))))) != addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))) ),
    inference(spm,[status(thm)],[c_0_31,c_0_25]) ).

cnf(c_0_43,plain,
    addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_44,plain,
    addition(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_45,plain,
    ! [X21,X22,X23] : multiplication(X21,addition(X22,X23)) = addition(multiplication(X21,X22),multiplication(X21,X23)),
    inference(variable_rename,[status(thm)],[right_distributivity]) ).

cnf(c_0_46,plain,
    multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_47,negated_conjecture,
    multiplication(esk5_0,c(esk5_0)) = zero,
    inference(spm,[status(thm)],[c_0_35,c_0_29]) ).

cnf(c_0_48,plain,
    multiplication(zero,X1) = zero,
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_49,negated_conjecture,
    multiplication(addition(X1,c(esk5_0)),esk5_0) = multiplication(X1,esk5_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).

cnf(c_0_50,plain,
    ( ~ test(X1)
    | addition(X1,c(X1)) = one ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_23]),c_0_20]) ).

cnf(c_0_51,plain,
    multiplication(one,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_52,negated_conjecture,
    ( addition(multiplication(esk5_0,esk2_0),addition(multiplication(c(esk5_0),esk4_0),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))))) != addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0))
    | addition(multiplication(esk5_0,esk2_0),addition(multiplication(c(esk5_0),esk4_0),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))))) != addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43]),c_0_43]) ).

cnf(c_0_53,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_54,plain,
    multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_55,negated_conjecture,
    multiplication(esk5_0,multiplication(c(esk5_0),X1)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).

cnf(c_0_56,negated_conjecture,
    multiplication(esk5_0,esk5_0) = esk5_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_29])]) ).

cnf(c_0_57,negated_conjecture,
    ( addition(multiplication(esk5_0,esk2_0),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))))) != addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0))
    | addition(multiplication(esk5_0,esk2_0),addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))))) != addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53]),c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    multiplication(esk5_0,addition(X1,multiplication(c(esk5_0),X2))) = multiplication(esk5_0,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_39]) ).

cnf(c_0_59,negated_conjecture,
    multiplication(esk5_0,multiplication(esk5_0,X1)) = multiplication(esk5_0,X1),
    inference(spm,[status(thm)],[c_0_46,c_0_56]) ).

cnf(c_0_60,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_20]),c_0_53]),c_0_58]),c_0_59]),c_0_20]),c_0_58]),c_0_59]),c_0_20]),c_0_53])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KLE027+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38  % Computer : n015.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Sun Sep 20 22:42:50 UTC 2026
% 0.05/0.38  % CPUTime  : 
% 0.05/0.38  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.42  Running first-order theorem proving
% 0.05/0.42  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
% 0.85/0.56  % Version: 3.5.1
% 0.85/0.56  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.85/0.56  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.56  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.85/0.56  % Starting new_bool_3 with 300s (1) cores
% 0.85/0.56  % Starting new_bool_1 with 300s (1) cores
% 0.85/0.56  % Starting sh5l with 300s (1) cores
% 0.85/0.56  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4104420 completed with status 0
% 0.85/0.56  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.85/0.56  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.85/0.56  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.56  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.85/0.56  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.85/0.56  % No SInE strategy applied
% 0.85/0.56  % Search class: FGHSM-FFMF21-MFFFFFNN
% 0.85/0.56  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.85/0.56  % Starting SubtermCWHack with 136s (1) cores
% 0.85/0.56  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.85/0.56  % Starting U----_210g_02_B07_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.85/0.56  % Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S00EN with 136s (1) cores
% 0.85/0.56  % Starting new_bool_3 with 136s (1) cores
% 0.85/0.56  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4104426 completed with status 0
% 0.85/0.56  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.85/0.56  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.85/0.56  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.56  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.85/0.56  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.85/0.56  % No SInE strategy applied
% 0.85/0.56  % Search class: FGHSM-FFMF21-MFFFFFNN
% 0.85/0.56  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.85/0.56  % Starting SubtermCWHack with 136s (1) cores
% 0.85/0.56  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.85/0.56  % Preprocessing time       : 0.002 s
% 0.85/0.56  % Presaturation interreduction done
% 0.85/0.56  
% 0.85/0.56  % Proof found!
% 0.85/0.56  % SZS status Theorem
% 0.85/0.56  % SZS output start CNFRefutation
% See solution above
% 0.85/0.56  % Parsed axioms                        : 19
% 0.85/0.56  % Removed by relevancy pruning/SinE    : 0
% 0.85/0.56  % Initial clauses                      : 27
% 0.85/0.56  % Removed in clause preprocessing      : 0
% 0.85/0.56  % Initial clauses in saturation        : 27
% 0.85/0.56  % Processed clauses                    : 864
% 0.85/0.56  % ...of these trivial                  : 85
% 0.85/0.56  % ...subsumed                          : 437
% 0.85/0.56  % ...remaining for further processing  : 342
% 0.85/0.56  % Other redundant clauses eliminated   : 27
% 0.85/0.56  % Clauses deleted for lack of memory   : 0
% 0.85/0.56  % Backward-subsumed                    : 39
% 0.85/0.56  % Backward-rewritten                   : 67
% 0.85/0.56  % Generated clauses                    : 6093
% 0.85/0.56  % ...of the previous two non-redundant : 4017
% 0.85/0.56  % ...aggressively subsumed             : 0
% 0.85/0.56  % Contextual simplify-reflections      : 13
% 0.85/0.56  % Paramodulations                      : 6065
% 0.85/0.56  % Factorizations                       : 1
% 0.85/0.56  % NegExts                              : 0
% 0.85/0.56  % Equation resolutions                 : 27
% 0.85/0.56  % Disequality decompositions           : 0
% 0.85/0.56  % Total rewrite steps                  : 7998
% 0.85/0.56  % ...of those cached                   : 6790
% 0.85/0.56  % Propositional unsat checks           : 0
% 0.85/0.56  %    Propositional check models        : 0
% 0.85/0.56  %    Propositional check unsatisfiable : 0
% 0.85/0.56  %    Propositional clauses             : 0
% 0.85/0.56  %    Propositional clauses after purity: 0
% 0.85/0.56  %    Propositional unsat core size     : 0
% 0.85/0.56  %    Propositional preprocessing time  : 0.000
% 0.85/0.56  %    Propositional encoding time       : 0.000
% 0.85/0.56  %    Propositional solver time         : 0.000
% 0.85/0.56  %    Success case prop preproc time    : 0.000
% 0.85/0.56  %    Success case prop encoding time   : 0.000
% 0.85/0.56  %    Success case prop solver time     : 0.000
% 0.85/0.56  % Current number of processed clauses  : 208
% 0.85/0.56  %    Positive orientable unit clauses  : 105
% 0.85/0.56  %    Positive unorientable unit clauses: 5
% 0.85/0.56  %    Negative unit clauses             : 1
% 0.85/0.56  %    Non-unit-clauses                  : 97
% 0.85/0.56  % Current number of unprocessed clauses: 3081
% 0.85/0.56  % ...number of literals in the above   : 6454
% 0.85/0.56  % Current number of archived formulas  : 0
% 0.85/0.56  % Current number of archived clauses   : 133
% 0.85/0.56  % Clause-clause subsumption calls (NU) : 7022
% 0.85/0.56  % Rec. Clause-clause subsumption calls : 6100
% 0.85/0.56  % Non-unit clause-clause subsumptions  : 450
% 0.85/0.56  % Unit Clause-clause subsumption calls : 482
% 0.85/0.56  % Rewrite failures with RHS unbound    : 0
% 0.85/0.56  % BW rewrite match attempts            : 101
% 0.85/0.56  % BW rewrite match successes           : 64
% 0.85/0.56  % Condensation attempts                : 0
% 0.85/0.56  % Condensation successes               : 0
% 0.85/0.56  % Termbank termtop insertions          : 71446
% 0.85/0.56  % Search garbage collected termcells   : 231
% 0.85/0.56  
% 0.85/0.56  % -------------------------------------------------
% 0.85/0.56  % User time                : 0.100 s
% 0.85/0.56  % System time              : 0.011 s
% 0.85/0.56  % Total time               : 0.112 s
% 0.85/0.56  % Maximum resident set size: 3656 pages
% 0.85/0.56  
% 0.85/0.56  % -------------------------------------------------
% 0.85/0.56  % User time                : 0.509 s
% 0.85/0.56  % System time              : 0.038 s
% 0.85/0.56  % Total time               : 0.547 s
% 0.85/0.56  % Maximum resident set size: 4608 pages
% 0.85/0.56  % E exiting
%------------------------------------------------------------------------------