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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYO041_8 : TPTP v9.3.1. Released v8.0.0.
% 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 03:45:22 PM UTC 2026

% Result   : Theorem 0.28s 0.57s
% Output   : CNFRefutation 0.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   65 (   9 unt;   0 def)
%            Number of atoms       :  661 (   0 equ)
%            Maximal formula atoms :  131 (  10 avg)
%            Number of connectives :  873 ( 277   ~; 457   |; 124   &)
%                                         (  13 <=>;   0  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   33 (   5 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-1 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_24,type,
    f: $o > $o ).

tff(decl_25,type,
    g: $o > $o ).

tff(decl_26,type,
    x: $o ).

tff(decl_27,type,
    y: $o ).

tff(decl_28,type,
    epred1_0: $o ).

tff(decl_29,type,
    epred2_0: $o ).

tff(decl_30,type,
    epred3_0: $o ).

fof(3,conjecture,
    ~ ( ( f(f(f(x)))
      <=> g(f(x)) )
      & ( g(y)
      <=> x )
      & ( g(x)
      <=> y )
      & ( x
      <~> y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',3) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ( ( f(f(f(x)))
        <=> g(f(x)) )
        & ( g(y)
        <=> x )
        & ( g(x)
        <=> y )
        & ( x
        <~> y ) ),
    inference(assume_negation,[status(cth)],[3]) ).

fof(c_0_2,plain,
    ( epred1_0
  <=> ( ( ~ f($false)
        | ( ( f($false)
            | x )
          & ( f($true)
            | ~ x ) ) )
      & ( ~ f($true)
        | ( ( ~ f($false)
            | x )
          & ( ~ f($true)
            | ~ x ) ) ) ) ),
    introduced(definition) ).

fof(c_0_3,plain,
    ( epred2_0
  <=> ( ( f($false)
        | ( ( f($false)
            | x )
          & ( f($true)
            | ~ x ) ) )
      & ( f($true)
        | ( ( ~ f($false)
            | x )
          & ( ~ f($true)
            | ~ x ) ) ) ) ),
    introduced(definition) ).

fof(c_0_4,plain,
    ( epred3_0
  <=> ( ( g($false)
        | ( ( f($false)
            | x )
          & ( f($true)
            | ~ x ) ) )
      & ( g($true)
        | ( ( ~ f($false)
            | x )
          & ( ~ f($true)
            | ~ x ) ) ) ) ),
    introduced(definition) ).

fof(c_0_5,negated_conjecture,
    ~ ~ ( ( ( ( f($false)
              | epred2_0 )
            & ( f($true)
              | epred1_0 ) )
        <=> epred3_0 )
        & ( ( ( g($false)
              | y )
            & ( g($true)
              | ~ y ) )
        <=> x )
        & ( ( ( g($false)
              | x )
            & ( g($true)
              | ~ x ) )
        <=> y )
        & ~ ( x
          <=> y ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_1])]),c_0_2]),c_0_3]),c_0_4]) ).

fof(c_0_6,plain,
    ( ( epred1_0
      | f($true)
      | f($false) )
    & ( epred1_0
      | f($true)
      | ~ f($true)
      | ~ f($false) )
    & ( epred1_0
      | f($true)
      | ~ f($true)
      | ~ x )
    & ( epred1_0
      | f($true)
      | x
      | ~ f($false) )
    & ( epred1_0
      | f($true)
      | x
      | ~ x )
    & ( epred1_0
      | f($true)
      | f($false)
      | f($false) )
    & ( epred1_0
      | f($true)
      | f($false)
      | ~ f($true)
      | ~ f($false) )
    & ( epred1_0
      | f($true)
      | f($false)
      | ~ f($true)
      | ~ x )
    & ( epred1_0
      | f($true)
      | f($false)
      | x
      | ~ f($false) )
    & ( epred1_0
      | f($true)
      | f($false)
      | x
      | ~ x )
    & ( epred1_0
      | f($true)
      | ~ x
      | f($false) )
    & ( epred1_0
      | f($true)
      | ~ x
      | ~ f($true)
      | ~ f($false) )
    & ( epred1_0
      | f($true)
      | ~ x
      | ~ f($true)
      | ~ x )
    & ( epred1_0
      | f($true)
      | ~ x
      | x
      | ~ f($false) )
    & ( epred1_0
      | f($true)
      | ~ x
      | x
      | ~ x )
    & ( epred1_0
      | x
      | f($false)
      | f($false) )
    & ( epred1_0
      | x
      | f($false)
      | ~ f($true)
      | ~ f($false) )
    & ( epred1_0
      | x
      | f($false)
      | ~ f($true)
      | ~ x )
    & ( epred1_0
      | x
      | f($false)
      | x
      | ~ f($false) )
    & ( epred1_0
      | x
      | f($false)
      | x
      | ~ x )
    & ( epred1_0
      | x
      | ~ x
      | f($false) )
    & ( epred1_0
      | x
      | ~ x
      | ~ f($true)
      | ~ f($false) )
    & ( epred1_0
      | x
      | ~ x
      | ~ f($true)
      | ~ x )
    & ( epred1_0
      | x
      | ~ x
      | x
      | ~ f($false) )
    & ( epred1_0
      | x
      | ~ x
      | x
      | ~ x )
    & ( ~ epred1_0
      | ~ f($false)
      | f($false)
      | x )
    & ( ~ epred1_0
      | ~ f($false)
      | f($true)
      | ~ x )
    & ( ~ epred1_0
      | ~ f($true)
      | ~ f($false)
      | x )
    & ( ~ epred1_0
      | ~ f($true)
      | ~ f($true)
      | ~ x ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

fof(c_0_7,negated_conjecture,
    ( ( ~ epred3_0
      | f($false)
      | epred2_0 )
    & ( ~ epred3_0
      | f($true)
      | epred1_0 )
    & ( epred3_0
      | ~ f($true)
      | ~ f($false) )
    & ( epred3_0
      | ~ f($true)
      | ~ epred2_0 )
    & ( epred3_0
      | ~ epred1_0
      | ~ f($false) )
    & ( epred3_0
      | ~ epred1_0
      | ~ epred2_0 )
    & ( ~ x
      | g($false)
      | y )
    & ( ~ x
      | g($true)
      | ~ y )
    & ( x
      | ~ g($true)
      | ~ g($false) )
    & ( x
      | ~ g($true)
      | ~ y )
    & ( x
      | y
      | ~ g($false) )
    & ( x
      | y
      | ~ y )
    & ( ~ y
      | g($false)
      | x )
    & ( ~ y
      | g($true)
      | ~ x )
    & ( y
      | ~ g($true)
      | ~ g($false) )
    & ( y
      | ~ g($true)
      | ~ x )
    & ( y
      | x
      | ~ g($false) )
    & ( y
      | x
      | ~ x )
    & ( y
      | x )
    & ( ~ y
      | ~ x ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

cnf(c_0_8,plain,
    ( epred1_0
    | x
    | f($false)
    | f($false) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ( ( epred3_0
      | ~ g($true)
      | ~ g($false) )
    & ( epred3_0
      | ~ g($true)
      | ~ f($true)
      | ~ f($false) )
    & ( epred3_0
      | ~ g($true)
      | ~ f($true)
      | ~ x )
    & ( epred3_0
      | ~ g($true)
      | x
      | ~ f($false) )
    & ( epred3_0
      | ~ g($true)
      | x
      | ~ x )
    & ( epred3_0
      | f($true)
      | f($false)
      | ~ g($false) )
    & ( epred3_0
      | f($true)
      | f($false)
      | ~ f($true)
      | ~ f($false) )
    & ( epred3_0
      | f($true)
      | f($false)
      | ~ f($true)
      | ~ x )
    & ( epred3_0
      | f($true)
      | f($false)
      | x
      | ~ f($false) )
    & ( epred3_0
      | f($true)
      | f($false)
      | x
      | ~ x )
    & ( epred3_0
      | f($true)
      | ~ x
      | ~ g($false) )
    & ( epred3_0
      | f($true)
      | ~ x
      | ~ f($true)
      | ~ f($false) )
    & ( epred3_0
      | f($true)
      | ~ x
      | ~ f($true)
      | ~ x )
    & ( epred3_0
      | f($true)
      | ~ x
      | x
      | ~ f($false) )
    & ( epred3_0
      | f($true)
      | ~ x
      | x
      | ~ x )
    & ( epred3_0
      | x
      | f($false)
      | ~ g($false) )
    & ( epred3_0
      | x
      | f($false)
      | ~ f($true)
      | ~ f($false) )
    & ( epred3_0
      | x
      | f($false)
      | ~ f($true)
      | ~ x )
    & ( epred3_0
      | x
      | f($false)
      | x
      | ~ f($false) )
    & ( epred3_0
      | x
      | f($false)
      | x
      | ~ x )
    & ( epred3_0
      | x
      | ~ x
      | ~ g($false) )
    & ( epred3_0
      | x
      | ~ x
      | ~ f($true)
      | ~ f($false) )
    & ( epred3_0
      | x
      | ~ x
      | ~ f($true)
      | ~ x )
    & ( epred3_0
      | x
      | ~ x
      | x
      | ~ f($false) )
    & ( epred3_0
      | x
      | ~ x
      | x
      | ~ x )
    & ( ~ epred3_0
      | g($false)
      | f($false)
      | x )
    & ( ~ epred3_0
      | g($false)
      | f($true)
      | ~ x )
    & ( ~ epred3_0
      | g($true)
      | ~ f($false)
      | x )
    & ( ~ epred3_0
      | g($true)
      | ~ f($true)
      | ~ x ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ y
    | g($false)
    | x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    ( y
    | x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ f($true)
    | ~ f($false)
    | epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,plain,
    ( f($false)
    | epred1_0
    | x ),
    inference(cn,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ( ~ f($false)
    | epred1_0
    | f($true)
    | x ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_15,plain,
    ( epred1_0
    | f($true)
    | f($false) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_16,plain,
    ( ~ g($false)
    | epred3_0
    | x
    | f($false) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_17,negated_conjecture,
    ( g($false)
    | x ),
    inference(csr,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_18,plain,
    ( ~ f($true)
    | x
    | epred1_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,plain,
    ( f($true)
    | x
    | epred1_0 ),
    inference(csr,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ epred1_0
    | ~ f($false)
    | epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_21,plain,
    ( f($false)
    | x
    | epred3_0 ),
    inference(csr,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_22,plain,
    ( x
    | epred1_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ g($true)
    | ~ y
    | x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_24,plain,
    ( ( epred2_0
      | ~ f($true)
      | ~ f($false) )
    & ( epred2_0
      | ~ f($true)
      | ~ f($true)
      | ~ f($false) )
    & ( epred2_0
      | ~ f($true)
      | ~ f($true)
      | ~ x )
    & ( epred2_0
      | ~ f($true)
      | x
      | ~ f($false) )
    & ( epred2_0
      | ~ f($true)
      | x
      | ~ x )
    & ( epred2_0
      | f($true)
      | f($false)
      | ~ f($false) )
    & ( epred2_0
      | f($true)
      | f($false)
      | ~ f($true)
      | ~ f($false) )
    & ( epred2_0
      | f($true)
      | f($false)
      | ~ f($true)
      | ~ x )
    & ( epred2_0
      | f($true)
      | f($false)
      | x
      | ~ f($false) )
    & ( epred2_0
      | f($true)
      | f($false)
      | x
      | ~ x )
    & ( epred2_0
      | f($true)
      | ~ x
      | ~ f($false) )
    & ( epred2_0
      | f($true)
      | ~ x
      | ~ f($true)
      | ~ f($false) )
    & ( epred2_0
      | f($true)
      | ~ x
      | ~ f($true)
      | ~ x )
    & ( epred2_0
      | f($true)
      | ~ x
      | x
      | ~ f($false) )
    & ( epred2_0
      | f($true)
      | ~ x
      | x
      | ~ x )
    & ( epred2_0
      | x
      | f($false)
      | ~ f($false) )
    & ( epred2_0
      | x
      | f($false)
      | ~ f($true)
      | ~ f($false) )
    & ( epred2_0
      | x
      | f($false)
      | ~ f($true)
      | ~ x )
    & ( epred2_0
      | x
      | f($false)
      | x
      | ~ f($false) )
    & ( epred2_0
      | x
      | f($false)
      | x
      | ~ x )
    & ( epred2_0
      | x
      | ~ x
      | ~ f($false) )
    & ( epred2_0
      | x
      | ~ x
      | ~ f($true)
      | ~ f($false) )
    & ( epred2_0
      | x
      | ~ x
      | ~ f($true)
      | ~ x )
    & ( epred2_0
      | x
      | ~ x
      | x
      | ~ f($false) )
    & ( epred2_0
      | x
      | ~ x
      | x
      | ~ x )
    & ( ~ epred2_0
      | f($false)
      | f($false)
      | x )
    & ( ~ epred2_0
      | f($false)
      | f($true)
      | ~ x )
    & ( ~ epred2_0
      | f($true)
      | ~ f($false)
      | x )
    & ( ~ epred2_0
      | f($true)
      | ~ f($true)
      | ~ x ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_25,plain,
    ( ~ epred3_0
    | ~ f($false)
    | g($true)
    | x ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_26,negated_conjecture,
    ( x
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ g($true)
    | x ),
    inference(csr,[status(thm)],[c_0_23,c_0_11]) ).

cnf(c_0_28,plain,
    ( ~ epred2_0
    | f($false)
    | f($false)
    | x ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_29,plain,
    ( ~ x
    | ~ f($false)
    | epred2_0
    | f($true) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,plain,
    ( ~ f($false)
    | x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_31,plain,
    ( ~ f($true)
    | ~ f($false)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_32,plain,
    ( ~ epred2_0
    | f($false)
    | x ),
    inference(cn,[status(thm)],[c_0_28]) ).

cnf(c_0_33,plain,
    ( ~ f($false)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ epred3_0
    | f($false)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_35,plain,
    ( ~ epred2_0
    | x ),
    inference(spm,[status(thm)],[c_0_30,c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ epred3_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ x
    | g($false)
    | y ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ y
    | ~ x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_39,plain,
    x,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_26]) ).

cnf(c_0_40,plain,
    ( ~ f($true)
    | ~ f($true)
    | ~ x
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_41,negated_conjecture,
    ( g($false)
    | y ),
    inference(csr,[status(thm)],[c_0_37,c_0_17]) ).

cnf(c_0_42,negated_conjecture,
    ~ y,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]) ).

cnf(c_0_43,plain,
    ( ~ f($true)
    | ~ x
    | epred2_0 ),
    inference(cn,[status(thm)],[c_0_40]) ).

cnf(c_0_44,plain,
    ( ~ x
    | ~ g($false)
    | epred3_0
    | f($true) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_45,negated_conjecture,
    g($false),
    inference(sr,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ g($true)
    | ~ x
    | y ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_47,plain,
    ( ~ epred3_0
    | ~ f($true)
    | ~ x
    | g($true) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_48,plain,
    ( ~ f($true)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_39])]) ).

cnf(c_0_49,plain,
    ( f($true)
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_39]),c_0_45])]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ g($true)
    | y ),
    inference(csr,[status(thm)],[c_0_46,c_0_27]) ).

cnf(c_0_51,plain,
    ( ~ f($true)
    | ~ epred3_0
    | g($true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_39])]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ f($true)
    | ~ epred2_0
    | epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_53,plain,
    epred2_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_36]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ f($true)
    | ~ epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_42]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ epred3_0
    | f($true)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_56,plain,
    ( ~ epred2_0
    | ~ x
    | f($false)
    | f($true) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_57,negated_conjecture,
    epred3_0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]),c_0_49]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ epred3_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_59,plain,
    ( ~ epred2_0
    | f($true)
    | f($false) ),
    inference(csr,[status(thm)],[c_0_56,c_0_32]) ).

cnf(c_0_60,negated_conjecture,
    ~ f($true),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_57])]) ).

cnf(c_0_61,plain,
    ( ~ epred1_0
    | ~ f($false)
    | ~ x
    | f($true) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_62,negated_conjecture,
    epred1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_57])]) ).

cnf(c_0_63,plain,
    f($false),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_53])]),c_0_60]) ).

cnf(c_0_64,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_39]),c_0_62]),c_0_63])]),c_0_60]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO041_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44  % Computer : n019.cluster.edu
% 0.18/0.44  % Model    : x86_64 x86_64
% 0.18/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44  % Memory   : 8046.5625MB
% 0.18/0.44  % OS       : Linux 6.8.0-71-generic
% 0.18/0.44  % CPULimit : 300
% 0.18/0.44  % WCLimit  : 300
% 0.18/0.44  % DateTime : Mon Sep 21 11:35:04 UTC 2026
% 0.18/0.44  % CPUTime  : 
% 0.18/0.44  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.51  Running first-order theorem proving
% 0.18/0.51  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
% 0.28/0.57  % Version: 3.5.1
% 0.28/0.57  % Preprocessing class: FSSSSLSSSSSNFFN.
% 0.28/0.57  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.57  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.28/0.57  % Starting new_bool_3 with 300s (1) cores
% 0.28/0.57  % Starting new_bool_1 with 300s (1) cores
% 0.28/0.57  % Starting sh5l with 300s (1) cores
% 0.28/0.57  % new_bool_1 with pid 2461442 completed with status 0
% 0.28/0.57  % Result found by new_bool_1
% 0.28/0.57  % Preprocessing class: FSSSSLSSSSSNFFN.
% 0.28/0.57  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.57  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.28/0.57  % Starting new_bool_3 with 300s (1) cores
% 0.28/0.57  % Starting new_bool_1 with 300s (1) cores
% 0.28/0.57  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.28/0.57  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.28/0.57  % Search class: FGHNF-FFMS00-SFFFFFNN
% 0.28/0.57  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.28/0.57  % Starting SubtermCWHack with 31s (1) cores
% 0.28/0.57  % SubtermCWHack with pid 2461451 completed with status 0
% 0.28/0.57  % Result found by SubtermCWHack
% 0.28/0.57  % Preprocessing class: FSSSSLSSSSSNFFN.
% 0.28/0.57  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.57  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.28/0.57  % Starting new_bool_3 with 300s (1) cores
% 0.28/0.57  % Starting new_bool_1 with 300s (1) cores
% 0.28/0.57  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.28/0.57  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.28/0.57  % Search class: FGHNF-FFMS00-SFFFFFNN
% 0.28/0.57  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.28/0.57  % Starting SubtermCWHack with 31s (1) cores
% 0.28/0.57  % Preprocessing time       : 0.002 s
% 0.28/0.57  
% 0.28/0.57  % Proof found!
% 0.28/0.57  % SZS status Theorem
% 0.28/0.57  % SZS output start CNFRefutation
% See solution above
% 0.28/0.57  % Parsed axioms                        : 6
% 0.28/0.57  % Removed by relevancy pruning/SinE    : 5
% 0.28/0.57  % Initial clauses                      : 107
% 0.28/0.57  % Removed in clause preprocessing      : 62
% 0.28/0.57  % Initial clauses in saturation        : 45
% 0.28/0.57  % Processed clauses                    : 76
% 0.28/0.57  % ...of these trivial                  : 0
% 0.28/0.57  % ...subsumed                          : 21
% 0.28/0.57  % ...remaining for further processing  : 54
% 0.28/0.57  % Other redundant clauses eliminated   : 0
% 0.28/0.57  % Clauses deleted for lack of memory   : 0
% 0.28/0.57  % Backward-subsumed                    : 21
% 0.28/0.57  % Backward-rewritten                   : 23
% 0.28/0.57  % Generated clauses                    : 66
% 0.28/0.57  % ...of the previous two non-redundant : 45
% 0.28/0.57  % ...aggressively subsumed             : 0
% 0.28/0.57  % Contextual simplify-reflections      : 19
% 0.28/0.57  % Paramodulations                      : 65
% 0.28/0.57  % Factorizations                       : 0
% 0.28/0.57  % NegExts                              : 0
% 0.28/0.57  % Equation resolutions                 : 0
% 0.28/0.57  % Disequality decompositions           : 0
% 0.28/0.57  % Total rewrite steps                  : 29
% 0.28/0.57  % ...of those cached                   : 23
% 0.28/0.57  % Propositional unsat checks           : 0
% 0.28/0.57  %    Propositional check models        : 0
% 0.28/0.57  %    Propositional check unsatisfiable : 0
% 0.28/0.57  %    Propositional clauses             : 0
% 0.28/0.57  %    Propositional clauses after purity: 0
% 0.28/0.57  %    Propositional unsat core size     : 0
% 0.28/0.57  %    Propositional preprocessing time  : 0.000
% 0.28/0.57  %    Propositional encoding time       : 0.000
% 0.28/0.57  %    Propositional solver time         : 0.000
% 0.28/0.57  %    Success case prop preproc time    : 0.000
% 0.28/0.57  %    Success case prop encoding time   : 0.000
% 0.28/0.57  %    Success case prop solver time     : 0.000
% 0.28/0.57  % Current number of processed clauses  : 9
% 0.28/0.57  %    Positive orientable unit clauses  : 6
% 0.28/0.57  %    Positive unorientable unit clauses: 0
% 0.28/0.57  %    Negative unit clauses             : 2
% 0.28/0.57  %    Non-unit-clauses                  : 1
% 0.28/0.57  % Current number of unprocessed clauses: 6
% 0.28/0.57  % ...number of literals in the above   : 24
% 0.28/0.57  % Current number of archived formulas  : 0
% 0.28/0.57  % Current number of archived clauses   : 45
% 0.28/0.57  % Clause-clause subsumption calls (NU) : 112
% 0.28/0.57  % Rec. Clause-clause subsumption calls : 98
% 0.28/0.57  % Non-unit clause-clause subsumptions  : 57
% 0.28/0.57  % Unit Clause-clause subsumption calls : 15
% 0.28/0.57  % Rewrite failures with RHS unbound    : 0
% 0.28/0.57  % BW rewrite match attempts            : 5
% 0.28/0.57  % BW rewrite match successes           : 5
% 0.28/0.57  % Condensation attempts                : 0
% 0.28/0.57  % Condensation successes               : 0
% 0.28/0.57  % Termbank termtop insertions          : 3901
% 0.28/0.57  % Search garbage collected termcells   : 695
% 0.28/0.57  
% 0.28/0.57  % -------------------------------------------------
% 0.28/0.57  % User time                : 0.015 s
% 0.28/0.57  % System time              : 0.001 s
% 0.28/0.57  % Total time               : 0.017 s
% 0.28/0.57  % Maximum resident set size: 3628 pages
% 0.28/0.57  
% 0.28/0.57  % -------------------------------------------------
% 0.28/0.57  % User time                : 0.019 s
% 0.28/0.57  % System time              : 0.006 s
% 0.28/0.57  % Total time               : 0.025 s
% 0.28/0.57  % Maximum resident set size: 4608 pages
% 0.28/0.57  % E exiting
%------------------------------------------------------------------------------