TSTP Solution File: NUM578+3 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : NUM578+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 08:55:27 EDT 2024

% Result   : Theorem 41.60s 5.78s
% Output   : CNFRefutation 41.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (   6 unt;   0 def)
%            Number of atoms       :  162 (  22 equ)
%            Maximal formula atoms :   39 (   7 avg)
%            Number of connectives :  192 (  52   ~;  46   |;  60   &)
%                                         (   4 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   42 (   0 sgn  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__3856_02,hypothesis,
    ( xi != xj
   => ( sdtlseqdt0(szszuzczcdt0(xj),xi)
      | sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Nbfq8ANw2i/E---3.1_23637.p',m__3856_02) ).

fof(m__,conjecture,
    ( ! [X1,X2] :
        ( ( aElementOf0(X1,szNzAzT0)
          & aElementOf0(X2,szNzAzT0) )
       => ( sdtlseqdt0(szszuzczcdt0(X1),X2)
         => ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
            & ! [X3] :
                ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
            & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & ! [X3] :
                ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
              <=> ( aElement0(X3)
                  & aElementOf0(X3,sdtlpdtrp0(xN,X1))
                  & X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
            & ! [X3] :
                ( aElementOf0(X3,sdtlpdtrp0(xN,X2))
               => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
            & aSubsetOf0(sdtlpdtrp0(xN,X2),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & ~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X2)),sdtlpdtrp0(xN,X2))
                  & ! [X3] :
                      ( aElementOf0(X3,sdtlpdtrp0(xN,X2))
                     => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X2)),X3) ) )
               => ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X2)),sdtlpdtrp0(xN,X1))
                    & ! [X3] :
                        ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
                       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X2)),X3) ) )
                  | szmzizndt0(sdtlpdtrp0(xN,X2)) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ) ) )
   => ( xi != xj
     => ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
          & ! [X1] :
              ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
             => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj))
          & ! [X1] :
              ( aElementOf0(X1,sdtlpdtrp0(xN,xj))
             => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
          & szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Nbfq8ANw2i/E---3.1_23637.p',m__) ).

fof(m__3856,hypothesis,
    ( aElementOf0(xi,szNzAzT0)
    & aElementOf0(xj,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/tmp.Nbfq8ANw2i/E---3.1_23637.p',m__3856) ).

fof(c_0_3,plain,
    ! [X2,X1] :
      ( epred1_2(X1,X2)
    <=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
        & ! [X3] :
            ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
           => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
        & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
        & ! [X3] :
            ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
          <=> ( aElement0(X3)
              & aElementOf0(X3,sdtlpdtrp0(xN,X1))
              & X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
        & ! [X3] :
            ( aElementOf0(X3,sdtlpdtrp0(xN,X2))
           => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
        & aSubsetOf0(sdtlpdtrp0(xN,X2),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
        & ~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X2)),sdtlpdtrp0(xN,X2))
              & ! [X3] :
                  ( aElementOf0(X3,sdtlpdtrp0(xN,X2))
                 => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X2)),X3) ) )
           => ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X2)),sdtlpdtrp0(xN,X1))
                & ! [X3] :
                    ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
                   => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X2)),X3) ) )
              | szmzizndt0(sdtlpdtrp0(xN,X2)) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ) ),
    introduced(definition) ).

fof(c_0_4,hypothesis,
    ( xi != xj
   => ( sdtlseqdt0(szszuzczcdt0(xj),xi)
      | sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
    inference(fof_simplification,[status(thm)],[m__3856_02]) ).

fof(c_0_5,negated_conjecture,
    ~ ( ! [X1,X2] :
          ( ( aElementOf0(X1,szNzAzT0)
            & aElementOf0(X2,szNzAzT0) )
         => ( sdtlseqdt0(szszuzczcdt0(X1),X2)
           => epred1_2(X1,X2) ) )
     => ( xi != xj
       => ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
            & ! [X1] :
                ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj))
            & ! [X1] :
                ( aElementOf0(X1,sdtlpdtrp0(xN,xj))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
            & szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]),c_0_3]) ).

fof(c_0_6,hypothesis,
    ( xi = xj
    | sdtlseqdt0(szszuzczcdt0(xj),xi)
    | sdtlseqdt0(szszuzczcdt0(xi),xj) ),
    inference(fof_nnf,[status(thm)],[c_0_4]) ).

fof(c_0_7,negated_conjecture,
    ! [X217,X218,X219,X220] :
      ( ( ~ aElementOf0(X217,szNzAzT0)
        | ~ aElementOf0(X218,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X217),X218)
        | epred1_2(X217,X218) )
      & xi != xj
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
      & ( ~ aElementOf0(X219,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X219) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj))
      & ( ~ aElementOf0(X220,sdtlpdtrp0(xN,xj))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X220) )
      & szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).

cnf(c_0_8,hypothesis,
    ( xi = xj
    | sdtlseqdt0(szszuzczcdt0(xj),xi)
    | sdtlseqdt0(szszuzczcdt0(xi),xj) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    xi != xj,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_10,plain,
    ! [X2,X1] :
      ( epred1_2(X1,X2)
     => ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
        & ! [X3] :
            ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
           => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
        & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
        & ! [X3] :
            ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
          <=> ( aElement0(X3)
              & aElementOf0(X3,sdtlpdtrp0(xN,X1))
              & X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
        & ! [X3] :
            ( aElementOf0(X3,sdtlpdtrp0(xN,X2))
           => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
        & aSubsetOf0(sdtlpdtrp0(xN,X2),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
        & ~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X2)),sdtlpdtrp0(xN,X2))
              & ! [X3] :
                  ( aElementOf0(X3,sdtlpdtrp0(xN,X2))
                 => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X2)),X3) ) )
           => ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X2)),sdtlpdtrp0(xN,X1))
                & ! [X3] :
                    ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
                   => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X2)),X3) ) )
              | szmzizndt0(sdtlpdtrp0(xN,X2)) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_3]) ).

cnf(c_0_11,negated_conjecture,
    ( epred1_2(X1,X2)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(xj),xi)
    | sdtlseqdt0(szszuzczcdt0(xi),xj) ),
    inference(sr,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,hypothesis,
    aElementOf0(xi,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__3856]) ).

cnf(c_0_14,hypothesis,
    aElementOf0(xj,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__3856]) ).

fof(c_0_15,plain,
    ! [X221,X222,X223,X224,X225,X226,X227] :
      ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X222)),sdtlpdtrp0(xN,X222))
        | ~ epred1_2(X222,X221) )
      & ( ~ aElementOf0(X223,sdtlpdtrp0(xN,X222))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X222)),X223)
        | ~ epred1_2(X222,X221) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X222),szmzizndt0(sdtlpdtrp0(xN,X222))))
        | ~ epred1_2(X222,X221) )
      & ( aElement0(X224)
        | ~ aElementOf0(X224,sdtmndt0(sdtlpdtrp0(xN,X222),szmzizndt0(sdtlpdtrp0(xN,X222))))
        | ~ epred1_2(X222,X221) )
      & ( aElementOf0(X224,sdtlpdtrp0(xN,X222))
        | ~ aElementOf0(X224,sdtmndt0(sdtlpdtrp0(xN,X222),szmzizndt0(sdtlpdtrp0(xN,X222))))
        | ~ epred1_2(X222,X221) )
      & ( X224 != szmzizndt0(sdtlpdtrp0(xN,X222))
        | ~ aElementOf0(X224,sdtmndt0(sdtlpdtrp0(xN,X222),szmzizndt0(sdtlpdtrp0(xN,X222))))
        | ~ epred1_2(X222,X221) )
      & ( ~ aElement0(X225)
        | ~ aElementOf0(X225,sdtlpdtrp0(xN,X222))
        | X225 = szmzizndt0(sdtlpdtrp0(xN,X222))
        | aElementOf0(X225,sdtmndt0(sdtlpdtrp0(xN,X222),szmzizndt0(sdtlpdtrp0(xN,X222))))
        | ~ epred1_2(X222,X221) )
      & ( ~ aElementOf0(X226,sdtlpdtrp0(xN,X221))
        | aElementOf0(X226,sdtmndt0(sdtlpdtrp0(xN,X222),szmzizndt0(sdtlpdtrp0(xN,X222))))
        | ~ epred1_2(X222,X221) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,X221),sdtmndt0(sdtlpdtrp0(xN,X222),szmzizndt0(sdtlpdtrp0(xN,X222))))
        | ~ epred1_2(X222,X221) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X221)),sdtlpdtrp0(xN,X221))
        | ~ epred1_2(X222,X221) )
      & ( ~ aElementOf0(X227,sdtlpdtrp0(xN,X221))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X221)),X227)
        | ~ epred1_2(X222,X221) )
      & ( aElementOf0(esk32_2(X221,X222),sdtlpdtrp0(xN,X222))
        | ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X221)),sdtlpdtrp0(xN,X222))
        | ~ epred1_2(X222,X221) )
      & ( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X221)),esk32_2(X221,X222))
        | ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X221)),sdtlpdtrp0(xN,X222))
        | ~ epred1_2(X222,X221) )
      & ( szmzizndt0(sdtlpdtrp0(xN,X221)) != szmzizndt0(sdtlpdtrp0(xN,X222))
        | ~ epred1_2(X222,X221) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])])]) ).

cnf(c_0_16,hypothesis,
    ( epred1_2(xj,xi)
    | sdtlseqdt0(szszuzczcdt0(xi),xj) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]) ).

cnf(c_0_17,plain,
    ( szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2))
    | ~ epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    ( epred1_2(xj,xi)
    | epred1_2(xi,xj) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_16]),c_0_14]),c_0_13])]) ).

cnf(c_0_19,negated_conjecture,
    szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_20,plain,
    epred1_2(xi,xj),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_21,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_20]),c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : NUM578+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n020.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri May  3 09:31:46 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  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/tmp/tmp.Nbfq8ANw2i/E---3.1_23637.p
% 41.60/5.78  # Version: 3.1.0
% 41.60/5.78  # Preprocessing class: FSLSSMSMSSSNFFN.
% 41.60/5.78  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.60/5.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 41.60/5.78  # Starting new_bool_3 with 300s (1) cores
% 41.60/5.78  # Starting new_bool_1 with 300s (1) cores
% 41.60/5.78  # Starting sh5l with 300s (1) cores
% 41.60/5.78  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 23715 completed with status 0
% 41.60/5.78  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 41.60/5.78  # Preprocessing class: FSLSSMSMSSSNFFN.
% 41.60/5.78  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.60/5.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 41.60/5.78  # No SInE strategy applied
% 41.60/5.78  # Search class: FGHSF-SMLM32-MFFFFFNN
% 41.60/5.78  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 41.60/5.78  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 41.60/5.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 41.60/5.78  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 41.60/5.78  # Starting new_bool_3 with 136s (1) cores
% 41.60/5.78  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 41.60/5.78  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 23722 completed with status 0
% 41.60/5.78  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 41.60/5.78  # Preprocessing class: FSLSSMSMSSSNFFN.
% 41.60/5.78  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.60/5.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 41.60/5.78  # No SInE strategy applied
% 41.60/5.78  # Search class: FGHSF-SMLM32-MFFFFFNN
% 41.60/5.78  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 41.60/5.78  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 41.60/5.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 41.60/5.78  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 41.60/5.78  # Preprocessing time       : 0.121 s
% 41.60/5.78  # Presaturation interreduction done
% 41.60/5.78  
% 41.60/5.78  # Proof found!
% 41.60/5.78  # SZS status Theorem
% 41.60/5.78  # SZS output start CNFRefutation
% See solution above
% 41.60/5.78  # Parsed axioms                        : 86
% 41.60/5.78  # Removed by relevancy pruning/SinE    : 0
% 41.60/5.78  # Initial clauses                      : 4205
% 41.60/5.78  # Removed in clause preprocessing      : 7
% 41.60/5.78  # Initial clauses in saturation        : 4198
% 41.60/5.78  # Processed clauses                    : 6107
% 41.60/5.78  # ...of these trivial                  : 2
% 41.60/5.78  # ...subsumed                          : 594
% 41.60/5.78  # ...remaining for further processing  : 5511
% 41.60/5.78  # Other redundant clauses eliminated   : 1940
% 41.60/5.78  # Clauses deleted for lack of memory   : 0
% 41.60/5.78  # Backward-subsumed                    : 0
% 41.60/5.78  # Backward-rewritten                   : 4
% 41.60/5.78  # Generated clauses                    : 2242
% 41.60/5.78  # ...of the previous two non-redundant : 2226
% 41.60/5.78  # ...aggressively subsumed             : 0
% 41.60/5.78  # Contextual simplify-reflections      : 38
% 41.60/5.78  # Paramodulations                      : 495
% 41.60/5.78  # Factorizations                       : 0
% 41.60/5.78  # NegExts                              : 0
% 41.60/5.78  # Equation resolutions                 : 1941
% 41.60/5.78  # Disequality decompositions           : 0
% 41.60/5.78  # Total rewrite steps                  : 143
% 41.60/5.78  # ...of those cached                   : 106
% 41.60/5.78  # Propositional unsat checks           : 2
% 41.60/5.78  #    Propositional check models        : 2
% 41.60/5.78  #    Propositional check unsatisfiable : 0
% 41.60/5.78  #    Propositional clauses             : 0
% 41.60/5.78  #    Propositional clauses after purity: 0
% 41.60/5.78  #    Propositional unsat core size     : 0
% 41.60/5.78  #    Propositional preprocessing time  : 0.000
% 41.60/5.78  #    Propositional encoding time       : 0.035
% 41.60/5.78  #    Propositional solver time         : 0.001
% 41.60/5.78  #    Success case prop preproc time    : 0.000
% 41.60/5.78  #    Success case prop encoding time   : 0.000
% 41.60/5.78  #    Success case prop solver time     : 0.000
% 41.60/5.78  # Current number of processed clauses  : 153
% 41.60/5.78  #    Positive orientable unit clauses  : 86
% 41.60/5.78  #    Positive unorientable unit clauses: 0
% 41.60/5.78  #    Negative unit clauses             : 11
% 41.60/5.78  #    Non-unit-clauses                  : 56
% 41.60/5.78  # Current number of unprocessed clauses: 3925
% 41.60/5.78  # ...number of literals in the above   : 42274
% 41.60/5.78  # Current number of archived formulas  : 0
% 41.60/5.78  # Current number of archived clauses   : 3612
% 41.60/5.78  # Clause-clause subsumption calls (NU) : 5466923
% 41.60/5.78  # Rec. Clause-clause subsumption calls : 78692
% 41.60/5.78  # Non-unit clause-clause subsumptions  : 627
% 41.60/5.78  # Unit Clause-clause subsumption calls : 1116
% 41.60/5.78  # Rewrite failures with RHS unbound    : 0
% 41.60/5.78  # BW rewrite match attempts            : 175
% 41.60/5.78  # BW rewrite match successes           : 4
% 41.60/5.78  # Condensation attempts                : 0
% 41.60/5.78  # Condensation successes               : 0
% 41.60/5.78  # Termbank termtop insertions          : 787901
% 41.60/5.78  # Search garbage collected termcells   : 27192
% 41.60/5.78  
% 41.60/5.78  # -------------------------------------------------
% 41.60/5.78  # User time                : 5.291 s
% 41.60/5.78  # System time              : 0.034 s
% 41.60/5.78  # Total time               : 5.325 s
% 41.60/5.78  # Maximum resident set size: 13408 pages
% 41.60/5.78  
% 41.60/5.78  # -------------------------------------------------
% 41.60/5.78  # User time                : 25.490 s
% 41.60/5.78  # System time              : 0.101 s
% 41.60/5.78  # Total time               : 25.591 s
% 41.60/5.78  # Maximum resident set size: 1828 pages
% 41.60/5.78  % E---3.1 exiting
% 41.60/5.78  % E exiting
%------------------------------------------------------------------------------