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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWX240_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 03:14:22 PM UTC 2026

% Result   : Theorem 1.34s 0.72s
% Output   : CNFRefutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   77 (  25 unt;   0 def)
%            Number of atoms       :  192 (  35 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  205 (  90   ~;  90   |;   8   &)
%                                         (   7 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   6 con; 0-3 aty)
%            Number of variables   :  160 (  21 sgn  69   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goal_057,conjecture,
    ? [X10,X18] :
      ~ ( typeCorrect(X10)
       => ( elem(l,run(X18,X10))
        <=> elem(l,run(cons(h,X18),X10)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_057) ).

fof(axiom_055,axiom,
    ! [X1,X17,X13,X14] :
      ( eval(X1,X17)
     => run(X1,ifThenElse(X17,X13,X14)) = run(X1,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_055) ).

fof(axiom_045,axiom,
    ! [X1] : eval(X1,tT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_045) ).

fof(axiom_052,axiom,
    ! [X1,X8,X9] :
      ( eval(X1,X9)
     => run(X1,assign(X8,X9)) = cons(X8,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_052) ).

fof(axiom_039,axiom,
    ! [X12,X13,X14] :
      ( typeCorrect(ifThenElse(X12,X13,X14))
    <=> ( typeCorrect(X14)
        & typeCorrect(X13) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_039) ).

fof(axiom_043,axiom,
    ! [X1,X8,X15] :
      ( elem(X1,cons(X8,X15))
    <=> ( elem(X1,X15)
        | X8 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_043) ).

fof(axiom_037,axiom,
    ! [X9,X2] :
      ( typeCorrect(assign(low(X2),X9))
    <=> ~ secret(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_037) ).

fof(axiom_040,axiom,
    l = low(zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_040) ).

fof(axiom_056,axiom,
    ! [X1,X17,X13,X14] :
      ( ~ eval(X1,X17)
     => run(X1,ifThenElse(X17,X13,X14)) = run(X1,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_056) ).

fof(axiom_035,axiom,
    typeCorrect(skip),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_035) ).

fof(axiom_047,axiom,
    ! [X1,X8] :
      ( eval(X1,var(X8))
    <=> elem(X8,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_047) ).

fof(axiom_051,axiom,
    ! [X1] : run(X1,skip) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_051) ).

fof(axiom_042,axiom,
    ! [X1] : ~ elem(X1,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_042) ).

fof(axiom_031,axiom,
    ! [X1] :
      ( X1 != nand(proj1Nand(X1),proj2Nand(X1))
     => ( X1 != var(proj1Var(X1))
       => ~ secret(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_031) ).

fof(axiom_012,axiom,
    ! [X1,X2] : nand(X1,X2) != tT,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_012) ).

fof(axiom_016,axiom,
    ! [X1] : tT != var(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_016) ).

fof(c_0_16,negated_conjecture,
    ~ ? [X10,X18] :
        ~ ( typeCorrect(X10)
         => ( elem(l,run(X18,X10))
          <=> elem(l,run(cons(h,X18),X10)) ) ),
    inference(assume_negation,[status(cth)],[goal_057]) ).

fof(c_0_17,negated_conjecture,
    ! [X133,X134] :
      ( ( ~ typeCorrect(X133)
        | elem(l,run(X134,X133))
        | ~ elem(l,run(cons(h,X134),X133)) )
      & ( ~ typeCorrect(X133)
        | elem(l,run(cons(h,X134),X133))
        | ~ elem(l,run(X134,X133)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).

fof(c_0_18,plain,
    ! [X125,X126,X127,X128] :
      ( run(X125,ifThenElse(X126,X127,X128)) = run(X125,X127)
      | ~ eval(X125,X126) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_055])])]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ typeCorrect(X2)
    | ~ elem(l,run(X1,X2))
    | elem(l,run(cons(h,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_20,plain,
    ( ~ eval(X1,X2)
    | run(X1,ifThenElse(X2,X3,X4)) = run(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ typeCorrect(ifThenElse(X3,X2,X4))
    | ~ elem(l,run(X1,ifThenElse(X3,X2,X4)))
    | ~ eval(cons(h,X1),X3)
    | elem(l,run(cons(h,X1),X2)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

fof(c_0_22,plain,
    ! [X104] : eval(X104,tT),
    inference(variable_rename,[status(thm)],[axiom_045]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ typeCorrect(ifThenElse(X3,X2,X4))
    | ~ elem(l,run(X1,X2))
    | ~ eval(X1,X3)
    | ~ eval(cons(h,X1),X3)
    | elem(l,run(cons(h,X1),X2)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_20]) ).

cnf(c_0_24,plain,
    eval(X1,tT),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_25,plain,
    ! [X116,X117,X118] :
      ( run(X116,assign(X117,X118)) = cons(X117,X116)
      | ~ eval(X116,X118) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_052])])]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ typeCorrect(ifThenElse(tT,X2,X3))
    | ~ elem(l,run(X1,X2))
    | elem(l,run(cons(h,X1),X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_24])]) ).

cnf(c_0_27,plain,
    ( ~ eval(X1,X2)
    | run(X1,assign(X3,X2)) = cons(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_28,plain,
    ! [X94,X95,X96] :
      ( ( typeCorrect(ifThenElse(X94,X95,X96))
        | ~ typeCorrect(X96)
        | ~ typeCorrect(X95) )
      & ( ~ typeCorrect(ifThenElse(X94,X95,X96))
        | typeCorrect(X96) )
      & ( ~ typeCorrect(ifThenElse(X94,X95,X96))
        | typeCorrect(X95) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_039])])])]) ).

fof(c_0_29,plain,
    ! [X98,X99,X100] :
      ( ( elem(X98,cons(X99,X100))
        | ~ elem(X98,X100) )
      & ( elem(X98,cons(X99,X100))
        | X99 != X98 )
      & ( elem(X98,X100)
        | X99 = X98
        | ~ elem(X98,cons(X99,X100)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_043])])])]) ).

fof(c_0_30,plain,
    ! [X9,X2] :
      ( typeCorrect(assign(low(X2),X9))
    <=> ~ secret(X9) ),
    inference(fof_simplification,[status(thm)],[axiom_037]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ typeCorrect(ifThenElse(tT,assign(X2,X3),X4))
    | ~ elem(l,cons(X2,X1))
    | ~ eval(X1,X3)
    | elem(l,run(cons(h,X1),assign(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_32,plain,
    ( ~ typeCorrect(X2)
    | ~ typeCorrect(X1)
    | typeCorrect(ifThenElse(X3,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,plain,
    ( X1 != X2
    | elem(X2,cons(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_34,plain,
    ! [X90,X91] :
      ( ( typeCorrect(assign(low(X91),X90))
        | secret(X90) )
      & ( ~ secret(X90)
        | ~ typeCorrect(assign(low(X91),X90)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ typeCorrect(X4)
    | ~ typeCorrect(assign(X2,X3))
    | ~ elem(l,cons(X2,X1))
    | ~ eval(X1,X3)
    | elem(l,run(cons(h,X1),assign(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_33]) ).

cnf(c_0_37,plain,
    ( typeCorrect(assign(low(X2),X1))
    | secret(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_38,plain,
    l = low(zero),
    inference(split_conjunct,[status(thm)],[axiom_040]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ typeCorrect(X3)
    | ~ typeCorrect(assign(l,X2))
    | ~ eval(X1,X2)
    | elem(l,run(cons(h,X1),assign(l,X2))) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    ( secret(X1)
    | typeCorrect(assign(l,X1)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

fof(c_0_41,plain,
    ! [X1,X17,X13,X14] :
      ( ~ eval(X1,X17)
     => run(X1,ifThenElse(X17,X13,X14)) = run(X1,X14) ),
    inference(fof_simplification,[status(thm)],[axiom_056]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ typeCorrect(X3)
    | ~ eval(X1,X2)
    | secret(X2)
    | elem(l,run(cons(h,X1),assign(l,X2))) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ typeCorrect(X2)
    | ~ elem(l,run(cons(h,X1),X2))
    | elem(l,run(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_44,plain,
    ! [X129,X130,X131,X132] :
      ( run(X129,ifThenElse(X130,X131,X132)) = run(X129,X132)
      | eval(X129,X130) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ typeCorrect(X2)
    | secret(tT)
    | elem(l,run(cons(h,X1),assign(l,tT))) ),
    inference(spm,[status(thm)],[c_0_42,c_0_24]) ).

cnf(c_0_46,plain,
    typeCorrect(skip),
    inference(split_conjunct,[status(thm)],[axiom_035]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ typeCorrect(ifThenElse(X2,X3,X4))
    | ~ elem(l,run(cons(h,X1),X3))
    | ~ eval(cons(h,X1),X2)
    | elem(l,run(X1,ifThenElse(X2,X3,X4))) ),
    inference(spm,[status(thm)],[c_0_43,c_0_20]) ).

cnf(c_0_48,plain,
    ( run(X1,ifThenElse(X2,X3,X4)) = run(X1,X4)
    | eval(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_49,negated_conjecture,
    ( secret(tT)
    | elem(l,run(cons(h,X1),assign(l,tT))) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ typeCorrect(ifThenElse(X2,X4,X3))
    | ~ elem(l,run(cons(h,X1),X4))
    | ~ eval(cons(h,X1),X2)
    | elem(l,run(X1,X3))
    | eval(X1,X2) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_51,negated_conjecture,
    ( secret(tT)
    | elem(l,run(X1,assign(l,tT))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_49]),c_0_40]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ typeCorrect(ifThenElse(X2,assign(l,tT),X3))
    | ~ eval(cons(h,X1),X2)
    | secret(tT)
    | elem(l,run(X1,X3))
    | eval(X1,X2) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

fof(c_0_53,plain,
    ! [X106,X107] :
      ( ( eval(X106,var(X107))
        | ~ elem(X107,X106) )
      & ( elem(X107,X106)
        | ~ eval(X106,var(X107)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_047])])]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ typeCorrect(X3)
    | ~ eval(cons(h,X1),X2)
    | secret(tT)
    | elem(l,run(X1,X3))
    | eval(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_32]),c_0_40]) ).

cnf(c_0_55,plain,
    ( ~ elem(X1,X2)
    | eval(X2,var(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ typeCorrect(X3)
    | ~ elem(X2,cons(h,X1))
    | secret(tT)
    | elem(l,run(X1,X3))
    | eval(X1,var(X2)) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

fof(c_0_57,plain,
    ! [X115] : run(X115,skip) = X115,
    inference(variable_rename,[status(thm)],[axiom_051]) ).

fof(c_0_58,plain,
    ! [X1] : ~ elem(X1,nil),
    inference(fof_simplification,[status(thm)],[axiom_042]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ typeCorrect(X2)
    | secret(tT)
    | elem(l,run(X1,X2))
    | eval(X1,var(h)) ),
    inference(spm,[status(thm)],[c_0_56,c_0_36]) ).

cnf(c_0_60,plain,
    run(X1,skip) = X1,
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

fof(c_0_61,plain,
    ! [X1] :
      ( X1 != nand(proj1Nand(X1),proj2Nand(X1))
     => ( X1 != var(proj1Var(X1))
       => ~ secret(X1) ) ),
    inference(fof_simplification,[status(thm)],[axiom_031]) ).

fof(c_0_62,plain,
    ! [X97] : ~ elem(X97,nil),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_58])]) ).

cnf(c_0_63,plain,
    ( ~ eval(X1,var(X2))
    | elem(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_64,negated_conjecture,
    ( secret(tT)
    | elem(l,X1)
    | eval(X1,var(h)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_46]),c_0_60]) ).

fof(c_0_65,plain,
    ! [X1,X2] : nand(X1,X2) != tT,
    inference(fof_simplification,[status(thm)],[axiom_012]) ).

fof(c_0_66,plain,
    ! [X1] : tT != var(X1),
    inference(fof_simplification,[status(thm)],[axiom_016]) ).

fof(c_0_67,plain,
    ! [X83] :
      ( ~ secret(X83)
      | X83 = var(proj1Var(X83))
      | X83 = nand(proj1Nand(X83),proj2Nand(X83)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])]) ).

cnf(c_0_68,plain,
    ~ elem(X1,nil),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_69,negated_conjecture,
    ( secret(tT)
    | elem(h,X1)
    | elem(l,X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

fof(c_0_70,plain,
    ! [X36,X37] : nand(X36,X37) != tT,
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_65])]) ).

fof(c_0_71,plain,
    ! [X43] : tT != var(X43),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_66])]) ).

cnf(c_0_72,plain,
    ( ~ secret(X1)
    | X1 = var(proj1Var(X1))
    | X1 = nand(proj1Nand(X1),proj2Nand(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_73,negated_conjecture,
    secret(tT),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_68]) ).

cnf(c_0_74,plain,
    nand(X1,X2) != tT,
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_75,plain,
    tT != var(X1),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_76,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_75]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWX240_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.45  % Computer : n006.cluster.edu
% 0.18/0.45  % Model    : x86_64 x86_64
% 0.18/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45  % Memory   : 8046.5625MB
% 0.18/0.45  % OS       : Linux 6.8.0-71-generic
% 0.18/0.45  % CPULimit : 300
% 0.18/0.45  % WCLimit  : 300
% 0.18/0.45  % DateTime : Mon Sep 21 10:37:43 UTC 2026
% 0.18/0.46  % CPUTime  : 
% 0.18/0.46  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.53  Running first-order theorem proving
% 0.23/0.53  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
% 1.34/0.72  % Version: 3.5.1
% 1.34/0.72  % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.34/0.72  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.34/0.72  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.34/0.72  % Starting new_bool_3 with 300s (1) cores
% 1.34/0.72  % Starting new_bool_1 with 300s (1) cores
% 1.34/0.72  % Starting sh5l with 300s (1) cores
% 1.34/0.72  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2641331 completed with status 0
% 1.34/0.72  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.34/0.72  % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.34/0.72  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.34/0.72  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.34/0.72  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.34/0.72  % No SInE strategy applied
% 1.34/0.72  % Search class: FGHSM-FFMS31-SFFFFFNN
% 1.34/0.72  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.34/0.72  % Starting SubtermCWHack with 136s (1) cores
% 1.34/0.72  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.34/0.72  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 1.34/0.72  % Starting new_bool_3 with 136s (1) cores
% 1.34/0.72  % Starting new_bool_1 with 136s (1) cores
% 1.34/0.72  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2641339 completed with status 0
% 1.34/0.72  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.34/0.72  % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.34/0.72  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.34/0.72  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.34/0.72  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.34/0.72  % No SInE strategy applied
% 1.34/0.72  % Search class: FGHSM-FFMS31-SFFFFFNN
% 1.34/0.72  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.34/0.72  % Starting SubtermCWHack with 136s (1) cores
% 1.34/0.72  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.34/0.72  % Preprocessing time       : 0.002 s
% 1.34/0.72  % Presaturation interreduction done
% 1.34/0.72  
% 1.34/0.72  % Proof found!
% 1.34/0.72  % SZS status Theorem
% 1.34/0.72  % SZS output start CNFRefutation
% See solution above
% 1.34/0.72  % Parsed axioms                        : 57
% 1.34/0.72  % Removed by relevancy pruning/SinE    : 0
% 1.34/0.72  % Initial clauses                      : 70
% 1.34/0.72  % Removed in clause preprocessing      : 0
% 1.34/0.72  % Initial clauses in saturation        : 70
% 1.34/0.72  % Processed clauses                    : 916
% 1.34/0.72  % ...of these trivial                  : 86
% 1.34/0.72  % ...subsumed                          : 315
% 1.34/0.72  % ...remaining for further processing  : 515
% 1.34/0.72  % Other redundant clauses eliminated   : 2
% 1.34/0.72  % Clauses deleted for lack of memory   : 0
% 1.34/0.72  % Backward-subsumed                    : 28
% 1.34/0.72  % Backward-rewritten                   : 51
% 1.34/0.72  % Generated clauses                    : 6785
% 1.34/0.72  % ...of the previous two non-redundant : 6192
% 1.34/0.72  % ...aggressively subsumed             : 0
% 1.34/0.72  % Contextual simplify-reflections      : 5
% 1.34/0.72  % Paramodulations                      : 6783
% 1.34/0.72  % Factorizations                       : 0
% 1.34/0.72  % NegExts                              : 0
% 1.34/0.72  % Equation resolutions                 : 2
% 1.34/0.72  % Disequality decompositions           : 0
% 1.34/0.72  % Total rewrite steps                  : 4426
% 1.34/0.72  % ...of those cached                   : 4119
% 1.34/0.72  % Propositional unsat checks           : 0
% 1.34/0.72  %    Propositional check models        : 0
% 1.34/0.72  %    Propositional check unsatisfiable : 0
% 1.34/0.72  %    Propositional clauses             : 0
% 1.34/0.72  %    Propositional clauses after purity: 0
% 1.34/0.72  %    Propositional unsat core size     : 0
% 1.34/0.72  %    Propositional preprocessing time  : 0.000
% 1.34/0.72  %    Propositional encoding time       : 0.000
% 1.34/0.72  %    Propositional solver time         : 0.000
% 1.34/0.72  %    Success case prop preproc time    : 0.000
% 1.34/0.72  %    Success case prop encoding time   : 0.000
% 1.34/0.72  %    Success case prop solver time     : 0.000
% 1.34/0.72  % Current number of processed clauses  : 364
% 1.34/0.72  %    Positive orientable unit clauses  : 58
% 1.34/0.72  %    Positive unorientable unit clauses: 0
% 1.34/0.72  %    Negative unit clauses             : 21
% 1.34/0.72  %    Non-unit-clauses                  : 285
% 1.34/0.72  % Current number of unprocessed clauses: 5280
% 1.34/0.72  % ...number of literals in the above   : 20131
% 1.34/0.72  % Current number of archived formulas  : 0
% 1.34/0.72  % Current number of archived clauses   : 149
% 1.34/0.72  % Clause-clause subsumption calls (NU) : 9663
% 1.34/0.72  % Rec. Clause-clause subsumption calls : 6229
% 1.34/0.72  % Non-unit clause-clause subsumptions  : 344
% 1.34/0.72  % Unit Clause-clause subsumption calls : 529
% 1.34/0.72  % Rewrite failures with RHS unbound    : 0
% 1.34/0.72  % BW rewrite match attempts            : 948
% 1.34/0.72  % BW rewrite match successes           : 34
% 1.34/0.72  % Condensation attempts                : 0
% 1.34/0.72  % Condensation successes               : 0
% 1.34/0.72  % Termbank termtop insertions          : 226331
% 1.34/0.72  % Search garbage collected termcells   : 467
% 1.34/0.72  
% 1.34/0.72  % -------------------------------------------------
% 1.34/0.72  % User time                : 0.154 s
% 1.34/0.72  % System time              : 0.008 s
% 1.34/0.72  % Total time               : 0.162 s
% 1.34/0.72  % Maximum resident set size: 3692 pages
% 1.34/0.72  
% 1.34/0.72  % -------------------------------------------------
% 1.34/0.72  % User time                : 0.748 s
% 1.34/0.72  % System time              : 0.044 s
% 1.34/0.72  % Total time               : 0.792 s
% 1.34/0.72  % Maximum resident set size: 4608 pages
% 1.34/0.72  % E exiting
%------------------------------------------------------------------------------