↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM612+3 : 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 : n005.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 01:49:46 PM UTC 2026

% Result   : Theorem 0.15s 5.86s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   57 (  18 unt;   0 def)
%            Number of atoms       :  172 (  31 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  179 (  64   ~;  55   |;  37   &)
%                                         (   3 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   50 (   0 sgn  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__5164,hypothesis,
    ( xP = sdtmndt0(xQ,szmzizndt0(xQ))
    & ! [X1] :
        ( aElementOf0(X1,xP)
      <=> ( X1 != szmzizndt0(xQ)
          & aElementOf0(X1,xQ)
          & aElement0(X1) ) )
    & ! [X1] :
        ( aElementOf0(X1,xQ)
       => sdtlseqdt0(szmzizndt0(xQ),X1) )
    & aSet0(xP) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).

fof(m__5147,hypothesis,
    ( xp = szmzizndt0(xQ)
    & ! [X1] :
        ( aElementOf0(X1,xQ)
       => sdtlseqdt0(xp,X1) )
    & aElementOf0(xp,xQ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).

fof(mSubFSet,axiom,
    ! [X1] :
      ( ( isFinite0(X1)
        & aSet0(X1) )
     => ! [X2] :
          ( aSubsetOf0(X2,X1)
         => isFinite0(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubFSet) ).

fof(m__5195,hypothesis,
    ( aSubsetOf0(xP,xQ)
    & ! [X1] :
        ( aElementOf0(X1,xP)
       => aElementOf0(X1,xQ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5195) ).

fof(m__5078,hypothesis,
    ( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
    & sbrdtbr0(xQ) = xK
    & aSubsetOf0(xQ,xO)
    & ! [X1] :
        ( aElementOf0(X1,xQ)
       => aElementOf0(X1,xO) )
    & aSet0(xQ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).

fof(mConsDiff,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aElementOf0(X2,X1)
         => sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).

fof(mEOfElem,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aElementOf0(X2,X1)
         => aElement0(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

fof(mCardNum,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
      <=> isFinite0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).

fof(m__,conjecture,
    ( aElementOf0(sbrdtbr0(xP),szNzAzT0)
    & szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(mFConsSet,axiom,
    ! [X1] :
      ( aElement0(X1)
     => ! [X2] :
          ( ( isFinite0(X2)
            & aSet0(X2) )
         => isFinite0(sdtpldt0(X2,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFConsSet) ).

fof(m__3418,hypothesis,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).

fof(mCardCons,axiom,
    ! [X1] :
      ( ( isFinite0(X1)
        & aSet0(X1) )
     => ! [X2] :
          ( aElement0(X2)
         => ( ~ aElementOf0(X2,X1)
           => sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardCons) ).

fof(c_0_12,hypothesis,
    ( xP = sdtmndt0(xQ,szmzizndt0(xQ))
    & ! [X1] :
        ( aElementOf0(X1,xP)
      <=> ( X1 != szmzizndt0(xQ)
          & aElementOf0(X1,xQ)
          & aElement0(X1) ) )
    & ! [X1] :
        ( aElementOf0(X1,xQ)
       => sdtlseqdt0(szmzizndt0(xQ),X1) )
    & aSet0(xP) ),
    inference(fof_simplification,[status(thm)],[m__5164]) ).

fof(c_0_13,hypothesis,
    ! [X262,X263] :
      ( xP = sdtmndt0(xQ,szmzizndt0(xQ))
      & ( aElementOf0(X263,xP)
        | X263 = szmzizndt0(xQ)
        | ~ aElementOf0(X263,xQ)
        | ~ aElement0(X263) )
      & ( ~ aElementOf0(X263,xP)
        | X263 != szmzizndt0(xQ) )
      & ( ~ aElementOf0(X263,xP)
        | aElementOf0(X263,xQ) )
      & ( ~ aElementOf0(X263,xP)
        | aElement0(X263) )
      & ( sdtlseqdt0(szmzizndt0(xQ),X262)
        | ~ aElementOf0(X262,xQ) )
      & aSet0(xP) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).

fof(c_0_14,hypothesis,
    ! [X261] :
      ( xp = szmzizndt0(xQ)
      & ( sdtlseqdt0(xp,X261)
        | ~ aElementOf0(X261,xQ) )
      & aElementOf0(xp,xQ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5147])])])]) ).

fof(c_0_15,plain,
    ! [X25,X26] :
      ( isFinite0(X26)
      | ~ aSubsetOf0(X26,X25)
      | ~ isFinite0(X25)
      | ~ aSet0(X25) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])])]) ).

fof(c_0_16,hypothesis,
    ! [X265] :
      ( aSubsetOf0(xP,xQ)
      & ( aElementOf0(X265,xQ)
        | ~ aElementOf0(X265,xP) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5195])])])]) ).

fof(c_0_17,hypothesis,
    ! [X255] :
      ( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
      & sbrdtbr0(xQ) = xK
      & aSubsetOf0(xQ,xO)
      & ( aElementOf0(X255,xO)
        | ~ aElementOf0(X255,xQ) )
      & aSet0(xQ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5078])])])]) ).

fof(c_0_18,plain,
    ! [X47,X48] :
      ( sdtpldt0(sdtmndt0(X47,X48),X48) = X47
      | ~ aElementOf0(X48,X47)
      | ~ aSet0(X47) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])])]) ).

cnf(c_0_19,hypothesis,
    xP = sdtmndt0(xQ,szmzizndt0(xQ)),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,hypothesis,
    xp = szmzizndt0(xQ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_21,plain,
    ! [X10,X11] :
      ( aElement0(X11)
      | ~ aElementOf0(X11,X10)
      | ~ aSet0(X10) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).

fof(c_0_22,plain,
    ! [X84] :
      ( ( ~ aSet0(X84)
        | aElementOf0(sbrdtbr0(X84),szNzAzT0)
        | ~ isFinite0(X84) )
      & ( ~ aSet0(X84)
        | isFinite0(X84)
        | ~ aElementOf0(sbrdtbr0(X84),szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])])]) ).

cnf(c_0_23,plain,
    ( ~ aSubsetOf0(X2,X1)
    | ~ isFinite0(X1)
    | ~ aSet0(X1)
    | isFinite0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_24,hypothesis,
    aSubsetOf0(xP,xQ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25,hypothesis,
    aSet0(xQ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_26,negated_conjecture,
    ~ ( aElementOf0(sbrdtbr0(xP),szNzAzT0)
      & szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_27,plain,
    ! [X55,X56] :
      ( isFinite0(sdtpldt0(X56,X55))
      | ~ isFinite0(X56)
      | ~ aSet0(X56)
      | ~ aElement0(X55) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFConsSet])])])]) ).

cnf(c_0_28,plain,
    ( ~ aElementOf0(X2,X1)
    | ~ aSet0(X1)
    | sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_29,hypothesis,
    sdtmndt0(xQ,xp) = xP,
    inference(rw,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_30,hypothesis,
    aElementOf0(xp,xQ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_31,plain,
    ( ~ aElementOf0(X2,X1)
    | ~ aSet0(X1)
    | aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_32,plain,
    ( ~ aSet0(X1)
    | ~ isFinite0(X1)
    | aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_33,hypothesis,
    ( ~ isFinite0(xQ)
    | isFinite0(xP) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_34,hypothesis,
    aSet0(xP),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_35,negated_conjecture,
    ( ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
    | szszuzczcdt0(sbrdtbr0(xP)) != sbrdtbr0(xQ) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).

cnf(c_0_36,plain,
    ( ~ isFinite0(X2)
    | ~ aSet0(X2)
    | ~ aElement0(X1)
    | isFinite0(sdtpldt0(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_37,hypothesis,
    sdtpldt0(xP,xp) = xQ,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_25])]) ).

cnf(c_0_38,hypothesis,
    aElement0(xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_30]),c_0_25])]) ).

cnf(c_0_39,hypothesis,
    ( ~ isFinite0(xQ)
    | aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).

cnf(c_0_40,plain,
    ( ~ aSet0(X1)
    | ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
    | isFinite0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_41,hypothesis,
    sbrdtbr0(xQ) = xK,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_42,hypothesis,
    aElementOf0(xK,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__3418]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
    | szszuzczcdt0(sbrdtbr0(xP)) != sbrdtbr0(xQ) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_44,plain,
    ! [X1] :
      ( ( isFinite0(X1)
        & aSet0(X1) )
     => ! [X2] :
          ( aElement0(X2)
         => ( ~ aElementOf0(X2,X1)
           => sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
    inference(fof_simplification,[status(thm)],[mCardCons]) ).

cnf(c_0_45,hypothesis,
    ( ~ isFinite0(xP)
    | isFinite0(xQ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_34])]) ).

cnf(c_0_46,hypothesis,
    aElementOf0(sbrdtbr0(xP),szNzAzT0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]),c_0_25])]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
    | szszuzczcdt0(sbrdtbr0(xP)) != xK ),
    inference(rw,[status(thm)],[c_0_43,c_0_41]) ).

fof(c_0_48,plain,
    ! [X86,X87] :
      ( sbrdtbr0(sdtpldt0(X86,X87)) = szszuzczcdt0(sbrdtbr0(X86))
      | aElementOf0(X87,X86)
      | ~ aElement0(X87)
      | ~ isFinite0(X86)
      | ~ aSet0(X86) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).

cnf(c_0_49,hypothesis,
    isFinite0(xQ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_40]),c_0_46]),c_0_34])]) ).

cnf(c_0_50,negated_conjecture,
    szszuzczcdt0(sbrdtbr0(xP)) != xK,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_46])]) ).

cnf(c_0_51,plain,
    ( ~ aElement0(X2)
    | ~ isFinite0(X1)
    | ~ aSet0(X1)
    | sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
    | aElementOf0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_52,hypothesis,
    isFinite0(xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_49])]) ).

cnf(c_0_53,hypothesis,
    ( ~ aElementOf0(X1,xP)
    | X1 != szmzizndt0(xQ) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ aElement0(X1)
    | sbrdtbr0(sdtpldt0(xP,X1)) != xK
    | aElementOf0(X1,xP) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_34])]) ).

cnf(c_0_55,hypothesis,
    ~ aElementOf0(xp,xP),
    inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_20])]) ).

cnf(c_0_56,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_37]),c_0_41]),c_0_38])]),c_0_55]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM612+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.39  % Computer : n005.cluster.edu
% 0.11/5.39  % Model    : x86_64 x86_64
% 0.11/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39  % Memory   : 8046.5625MB
% 0.11/5.39  % OS       : Linux 6.8.0-71-generic
% 0.11/5.39  % CPULimit : 300
% 0.11/5.39  % WCLimit  : 300
% 0.11/5.39  % DateTime : Mon Sep 21 02:44:38 UTC 2026
% 0.11/5.39  % CPUTime  : 
% 0.11/5.40  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.44  Running first-order theorem proving
% 0.15/5.44  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
% 0.15/5.86  % Version: 3.5.1
% 0.15/5.86  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/5.86  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.86  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/5.86  % Starting new_bool_3 with 300s (1) cores
% 0.15/5.86  % Starting new_bool_1 with 300s (1) cores
% 0.15/5.86  % Starting sh5l with 300s (1) cores
% 0.15/5.86  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2383383 completed with status 0
% 0.15/5.86  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.15/5.86  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/5.86  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.86  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/5.86  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.86  % No SInE strategy applied
% 0.15/5.86  % Search class: FGHSF-SMLM32-MFFFFFNN
% 0.15/5.86  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.86  % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.86  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/5.86  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 0.15/5.86  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.15/5.86  % Starting new_bool_3 with 136s (1) cores
% 0.15/5.86  % SubtermCWHack with pid 2383390 completed with status 0
% 0.15/5.86  % Result found by SubtermCWHack
% 0.15/5.86  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/5.86  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.86  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/5.86  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.86  % No SInE strategy applied
% 0.15/5.86  % Search class: FGHSF-SMLM32-MFFFFFNN
% 0.15/5.86  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.86  % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.86  % Preprocessing time       : 0.061 s
% 0.15/5.86  
% 0.15/5.86  % Proof found!
% 0.15/5.86  % SZS status Theorem
% 0.15/5.86  % SZS output start CNFRefutation
% See solution above
% 0.15/5.86  % Parsed axioms                        : 109
% 0.15/5.86  % Removed by relevancy pruning/SinE    : 0
% 0.15/5.86  % Initial clauses                      : 4909
% 0.15/5.86  % Removed in clause preprocessing      : 7
% 0.15/5.86  % Initial clauses in saturation        : 4902
% 0.15/5.86  % Processed clauses                    : 917
% 0.15/5.86  % ...of these trivial                  : 22
% 0.15/5.86  % ...subsumed                          : 265
% 0.15/5.86  % ...remaining for further processing  : 630
% 0.15/5.86  % Other redundant clauses eliminated   : 45
% 0.15/5.86  % Clauses deleted for lack of memory   : 0
% 0.15/5.86  % Backward-subsumed                    : 17
% 0.15/5.86  % Backward-rewritten                   : 34
% 0.15/5.86  % Generated clauses                    : 1939
% 0.15/5.86  % ...of the previous two non-redundant : 1597
% 0.15/5.86  % ...aggressively subsumed             : 0
% 0.15/5.86  % Contextual simplify-reflections      : 14
% 0.15/5.86  % Paramodulations                      : 1894
% 0.15/5.86  % Factorizations                       : 0
% 0.15/5.86  % NegExts                              : 0
% 0.15/5.86  % Equation resolutions                 : 46
% 0.15/5.86  % Disequality decompositions           : 0
% 0.15/5.86  % Total rewrite steps                  : 1305
% 0.15/5.86  % ...of those cached                   : 1199
% 0.15/5.86  % Propositional unsat checks           : 0
% 0.15/5.86  %    Propositional check models        : 0
% 0.15/5.86  %    Propositional check unsatisfiable : 0
% 0.15/5.86  %    Propositional clauses             : 0
% 0.15/5.86  %    Propositional clauses after purity: 0
% 0.15/5.86  %    Propositional unsat core size     : 0
% 0.15/5.86  %    Propositional preprocessing time  : 0.000
% 0.15/5.86  %    Propositional encoding time       : 0.000
% 0.15/5.86  %    Propositional solver time         : 0.000
% 0.15/5.86  %    Success case prop preproc time    : 0.000
% 0.15/5.86  %    Success case prop encoding time   : 0.000
% 0.15/5.86  %    Success case prop solver time     : 0.000
% 0.15/5.86  % Current number of processed clauses  : 540
% 0.15/5.86  %    Positive orientable unit clauses  : 121
% 0.15/5.86  %    Positive unorientable unit clauses: 0
% 0.15/5.86  %    Negative unit clauses             : 28
% 0.15/5.86  %    Non-unit-clauses                  : 391
% 0.15/5.86  % Current number of unprocessed clauses: 5251
% 0.15/5.86  % ...number of literals in the above   : 57904
% 0.15/5.86  % Current number of archived formulas  : 0
% 0.15/5.86  % Current number of archived clauses   : 53
% 0.15/5.86  % Clause-clause subsumption calls (NU) : 26714
% 0.15/5.86  % Rec. Clause-clause subsumption calls : 18690
% 0.15/5.86  % Non-unit clause-clause subsumptions  : 203
% 0.15/5.86  % Unit Clause-clause subsumption calls : 3073
% 0.15/5.86  % Rewrite failures with RHS unbound    : 0
% 0.15/5.86  % BW rewrite match attempts            : 24
% 0.15/5.86  % BW rewrite match successes           : 22
% 0.15/5.86  % Condensation attempts                : 0
% 0.15/5.86  % Condensation successes               : 0
% 0.15/5.86  % Termbank termtop insertions          : 406493
% 0.15/5.86  % Search garbage collected termcells   : 32023
% 0.15/5.86  
% 0.15/5.86  % -------------------------------------------------
% 0.15/5.86  % User time                : 0.359 s
% 0.15/5.86  % System time              : 0.034 s
% 0.15/5.86  % Total time               : 0.392 s
% 0.15/5.86  % Maximum resident set size: 15852 pages
% 0.15/5.86  
% 0.15/5.86  % -------------------------------------------------
% 0.15/5.86  % User time                : 0.742 s
% 0.15/5.86  % System time              : 0.081 s
% 0.15/5.86  % Total time               : 0.823 s
% 0.15/5.86  % Maximum resident set size: 4864 pages
% 0.15/5.86  % E exiting
%------------------------------------------------------------------------------