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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SET645+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 02:14:52 PM UTC 2026

% Result   : Theorem 0.10s 0.43s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   46 (   9 unt;   0 def)
%            Number of atoms       :  202 (   0 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :  257 ( 101   ~;  96   |;  23   &)
%                                         (   5 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :  100 (   8 sgn  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(p15,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ( ilf_type(X2,set_type)
            & ~ empty(X2) )
         => ( ilf_type(X1,member_type(X2))
          <=> member(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).

fof(p14,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( ilf_type(power_set(X1),set_type)
        & ~ empty(power_set(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14) ).

fof(p21,axiom,
    ! [X1] : ilf_type(X1,set_type),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).

fof(p10,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( ilf_type(X2,subset_type(X1))
          <=> ilf_type(X2,member_type(power_set(X1))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10) ).

fof(p13,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( member(X1,power_set(X2))
          <=> ! [X3] :
                ( ilf_type(X3,set_type)
               => ( member(X3,X1)
                 => member(X3,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13) ).

fof(p4,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( ! [X4] :
                ( ilf_type(X4,relation_type(X1,X2))
               => ilf_type(X4,subset_type(cross_product(X1,X2))) )
            & ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X1,X2)))
               => ilf_type(X3,relation_type(X1,X2)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).

fof(prove_relset_1_7,conjecture,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ! [X4] :
                  ( ilf_type(X4,set_type)
                 => ! [X5] :
                      ( ilf_type(X5,relation_type(X1,X2))
                     => ( member(ordered_pair(X3,X4),X5)
                       => ( member(X4,X2)
                          & member(X3,X1) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_7) ).

fof(p1,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ! [X4] :
                  ( ilf_type(X4,set_type)
                 => ( member(ordered_pair(X1,X2),cross_product(X3,X4))
                  <=> ( member(X2,X4)
                      & member(X1,X3) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).

fof(c_0_8,plain,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ( ilf_type(X2,set_type)
            & ~ empty(X2) )
         => ( ilf_type(X1,member_type(X2))
          <=> member(X1,X2) ) ) ),
    inference(fof_simplification,[status(thm)],[p15]) ).

fof(c_0_9,plain,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( ilf_type(power_set(X1),set_type)
        & ~ empty(power_set(X1)) ) ),
    inference(fof_simplification,[status(thm)],[p14]) ).

fof(c_0_10,plain,
    ! [X44,X45] :
      ( ( ~ ilf_type(X44,set_type)
        | ~ ilf_type(X45,set_type)
        | empty(X45)
        | ilf_type(X44,member_type(X45))
        | ~ member(X44,X45) )
      & ( ~ ilf_type(X44,set_type)
        | ~ ilf_type(X45,set_type)
        | empty(X45)
        | member(X44,X45)
        | ~ ilf_type(X44,member_type(X45)) ) ),
    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_8])])])])]) ).

fof(c_0_11,plain,
    ! [X62] : ilf_type(X62,set_type),
    inference(variable_rename,[status(thm)],[p21]) ).

fof(c_0_12,plain,
    ! [X31,X32] :
      ( ( ~ ilf_type(X31,set_type)
        | ~ ilf_type(X32,set_type)
        | ilf_type(X32,subset_type(X31))
        | ~ ilf_type(X32,member_type(power_set(X31))) )
      & ( ~ ilf_type(X31,set_type)
        | ~ ilf_type(X32,set_type)
        | ilf_type(X32,member_type(power_set(X31)))
        | ~ ilf_type(X32,subset_type(X31)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p10])])])])]) ).

fof(c_0_13,plain,
    ! [X43] :
      ( ( ~ ilf_type(X43,set_type)
        | ilf_type(power_set(X43),set_type) )
      & ( ~ ilf_type(X43,set_type)
        | ~ empty(power_set(X43)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).

fof(c_0_14,plain,
    ! [X39,X40,X41] :
      ( ( ~ ilf_type(X39,set_type)
        | ~ ilf_type(X40,set_type)
        | member(X39,power_set(X40))
        | ~ member(esk4_2(X39,X40),X40) )
      & ( ~ ilf_type(X39,set_type)
        | ~ ilf_type(X40,set_type)
        | member(X39,power_set(X40))
        | member(esk4_2(X39,X40),X39) )
      & ( ~ ilf_type(X39,set_type)
        | ~ ilf_type(X40,set_type)
        | member(X39,power_set(X40))
        | ilf_type(esk4_2(X39,X40),set_type) )
      & ( ~ ilf_type(X39,set_type)
        | ~ ilf_type(X40,set_type)
        | member(X41,X40)
        | ~ member(X41,X39)
        | ~ ilf_type(X41,set_type)
        | ~ member(X39,power_set(X40)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p13])])])])])]) ).

cnf(c_0_15,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,member_type(X2))
    | empty(X2)
    | member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    ilf_type(X1,set_type),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,subset_type(X2))
    | ilf_type(X1,member_type(power_set(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ empty(power_set(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(X3,X1)
    | ~ ilf_type(X3,set_type)
    | ~ member(X1,power_set(X2))
    | member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    ( ~ ilf_type(X2,member_type(X1))
    | member(X2,X1)
    | empty(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16])]) ).

cnf(c_0_21,plain,
    ( ~ ilf_type(X1,subset_type(X2))
    | ilf_type(X1,member_type(power_set(X2))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_16]),c_0_16])]) ).

cnf(c_0_22,plain,
    ~ empty(power_set(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_16])]) ).

fof(c_0_23,plain,
    ! [X17,X18,X19,X20] :
      ( ( ~ ilf_type(X17,set_type)
        | ~ ilf_type(X18,set_type)
        | ilf_type(X20,subset_type(cross_product(X17,X18)))
        | ~ ilf_type(X20,relation_type(X17,X18)) )
      & ( ~ ilf_type(X17,set_type)
        | ~ ilf_type(X18,set_type)
        | ilf_type(X19,relation_type(X17,X18))
        | ~ ilf_type(X19,subset_type(cross_product(X17,X18))) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p4])])])])]) ).

cnf(c_0_24,plain,
    ( ~ member(X1,X3)
    | ~ member(X3,power_set(X2))
    | member(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_16]),c_0_16]),c_0_16])]) ).

cnf(c_0_25,plain,
    ( ~ ilf_type(X1,subset_type(X2))
    | member(X1,power_set(X2)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

cnf(c_0_26,plain,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,relation_type(X2,X3))
    | ilf_type(X1,subset_type(cross_product(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_27,negated_conjecture,
    ~ ! [X1] :
        ( ilf_type(X1,set_type)
       => ! [X2] :
            ( ilf_type(X2,set_type)
           => ! [X3] :
                ( ilf_type(X3,set_type)
               => ! [X4] :
                    ( ilf_type(X4,set_type)
                   => ! [X5] :
                        ( ilf_type(X5,relation_type(X1,X2))
                       => ( member(ordered_pair(X3,X4),X5)
                         => ( member(X4,X2)
                            & member(X3,X1) ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[prove_relset_1_7]) ).

fof(c_0_28,plain,
    ! [X6,X7,X8,X9] :
      ( ( ~ ilf_type(X6,set_type)
        | ~ ilf_type(X7,set_type)
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X9,set_type)
        | member(ordered_pair(X6,X7),cross_product(X8,X9))
        | ~ member(X7,X9)
        | ~ member(X6,X8) )
      & ( ~ ilf_type(X6,set_type)
        | ~ ilf_type(X7,set_type)
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X9,set_type)
        | ~ member(ordered_pair(X6,X7),cross_product(X8,X9))
        | member(X7,X9) )
      & ( ~ ilf_type(X6,set_type)
        | ~ ilf_type(X7,set_type)
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X9,set_type)
        | ~ member(ordered_pair(X6,X7),cross_product(X8,X9))
        | member(X6,X8) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])])])]) ).

cnf(c_0_29,plain,
    ( ~ ilf_type(X3,subset_type(X2))
    | ~ member(X1,X3)
    | member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,plain,
    ( ~ ilf_type(X1,relation_type(X2,X3))
    | ilf_type(X1,subset_type(cross_product(X2,X3))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_16]),c_0_16])]) ).

fof(c_0_31,negated_conjecture,
    ( ( ~ member(esk13_0,esk11_0)
      | ~ member(esk12_0,esk10_0) )
    & member(ordered_pair(esk12_0,esk13_0),esk14_0)
    & ilf_type(esk14_0,relation_type(esk10_0,esk11_0))
    & ilf_type(esk13_0,set_type)
    & ilf_type(esk12_0,set_type)
    & ilf_type(esk11_0,set_type)
    & ilf_type(esk10_0,set_type) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).

cnf(c_0_32,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X4,set_type)
    | ~ member(ordered_pair(X1,X3),cross_product(X2,X4))
    | member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,plain,
    ( ~ ilf_type(X4,relation_type(X2,X3))
    | ~ member(X1,X4)
    | member(X1,cross_product(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    ilf_type(esk14_0,relation_type(esk10_0,esk11_0)),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_35,plain,
    ( ~ member(ordered_pair(X1,X3),cross_product(X2,X4))
    | member(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_16]),c_0_16]),c_0_16]),c_0_16])]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ member(X1,esk14_0)
    | member(X1,cross_product(esk10_0,esk11_0)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,plain,
    ( ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X4,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(ordered_pair(X3,X1),cross_product(X4,X2))
    | member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ member(ordered_pair(X1,X2),esk14_0)
    | member(X1,esk10_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    member(ordered_pair(esk12_0,esk13_0),esk14_0),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_40,plain,
    ( ~ member(ordered_pair(X3,X1),cross_product(X4,X2))
    | member(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_16]),c_0_16]),c_0_16]),c_0_16])]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ member(esk13_0,esk11_0)
    | ~ member(esk12_0,esk10_0) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_42,negated_conjecture,
    member(esk12_0,esk10_0),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ member(ordered_pair(X2,X1),esk14_0)
    | member(X1,esk11_0) ),
    inference(spm,[status(thm)],[c_0_40,c_0_36]) ).

cnf(c_0_44,negated_conjecture,
    ~ member(esk13_0,esk11_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).

cnf(c_0_45,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_39]),c_0_44]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET645+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35  % Computer : n010.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Mon Sep 21 05:31:25 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  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
% 0.10/0.43  % Version: 3.5.1
% 0.10/0.43  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.43  % Starting new_bool_3 with 300s (1) cores
% 0.10/0.43  % Starting new_bool_1 with 300s (1) cores
% 0.10/0.43  % Starting sh5l with 300s (1) cores
% 0.10/0.43  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 114339 completed with status 0
% 0.10/0.43  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.10/0.43  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.43  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.43  % No SInE strategy applied
% 0.10/0.43  % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.10/0.43  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.43  % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.43  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.43  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 0.10/0.43  % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 0.10/0.43  % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 0.10/0.43  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 114345 completed with status 0
% 0.10/0.43  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.10/0.43  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.43  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.43  % No SInE strategy applied
% 0.10/0.43  % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.10/0.43  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.43  % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.43  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.43  % Preprocessing time       : 0.002 s
% 0.10/0.43  % Presaturation interreduction done
% 0.10/0.43  
% 0.10/0.43  % Proof found!
% 0.10/0.43  % SZS status Theorem
% 0.10/0.43  % SZS output start CNFRefutation
% See solution above
% 0.10/0.43  % Parsed axioms                        : 22
% 0.10/0.43  % Removed by relevancy pruning/SinE    : 0
% 0.10/0.43  % Initial clauses                      : 49
% 0.10/0.43  % Removed in clause preprocessing      : 2
% 0.10/0.43  % Initial clauses in saturation        : 47
% 0.10/0.43  % Processed clauses                    : 123
% 0.10/0.43  % ...of these trivial                  : 13
% 0.10/0.43  % ...subsumed                          : 10
% 0.10/0.43  % ...remaining for further processing  : 100
% 0.10/0.43  % Other redundant clauses eliminated   : 2
% 0.10/0.43  % Clauses deleted for lack of memory   : 0
% 0.10/0.43  % Backward-subsumed                    : 0
% 0.10/0.43  % Backward-rewritten                   : 5
% 0.10/0.43  % Generated clauses                    : 100
% 0.10/0.43  % ...of the previous two non-redundant : 86
% 0.10/0.43  % ...aggressively subsumed             : 0
% 0.10/0.43  % Contextual simplify-reflections      : 1
% 0.10/0.43  % Paramodulations                      : 98
% 0.10/0.43  % Factorizations                       : 0
% 0.10/0.43  % NegExts                              : 0
% 0.10/0.43  % Equation resolutions                 : 2
% 0.10/0.43  % Disequality decompositions           : 0
% 0.10/0.43  % Total rewrite steps                  : 104
% 0.10/0.43  % ...of those cached                   : 77
% 0.10/0.43  % Propositional unsat checks           : 0
% 0.10/0.43  %    Propositional check models        : 0
% 0.10/0.43  %    Propositional check unsatisfiable : 0
% 0.10/0.43  %    Propositional clauses             : 0
% 0.10/0.43  %    Propositional clauses after purity: 0
% 0.10/0.43  %    Propositional unsat core size     : 0
% 0.10/0.43  %    Propositional preprocessing time  : 0.000
% 0.10/0.43  %    Propositional encoding time       : 0.000
% 0.10/0.43  %    Propositional solver time         : 0.000
% 0.10/0.43  %    Success case prop preproc time    : 0.000
% 0.10/0.43  %    Success case prop encoding time   : 0.000
% 0.10/0.43  %    Success case prop solver time     : 0.000
% 0.10/0.43  % Current number of processed clauses  : 63
% 0.10/0.43  %    Positive orientable unit clauses  : 19
% 0.10/0.43  %    Positive unorientable unit clauses: 1
% 0.10/0.43  %    Negative unit clauses             : 4
% 0.10/0.43  %    Non-unit-clauses                  : 39
% 0.10/0.43  % Current number of unprocessed clauses: 40
% 0.10/0.43  % ...number of literals in the above   : 89
% 0.10/0.43  % Current number of archived formulas  : 0
% 0.10/0.43  % Current number of archived clauses   : 36
% 0.10/0.43  % Clause-clause subsumption calls (NU) : 262
% 0.10/0.43  % Rec. Clause-clause subsumption calls : 207
% 0.10/0.43  % Non-unit clause-clause subsumptions  : 8
% 0.10/0.43  % Unit Clause-clause subsumption calls : 89
% 0.10/0.43  % Rewrite failures with RHS unbound    : 0
% 0.10/0.43  % BW rewrite match attempts            : 17
% 0.10/0.43  % BW rewrite match successes           : 9
% 0.10/0.43  % Condensation attempts                : 0
% 0.10/0.43  % Condensation successes               : 0
% 0.10/0.43  % Termbank termtop insertions          : 5910
% 0.10/0.43  % Search garbage collected termcells   : 1111
% 0.10/0.43  
% 0.10/0.43  % -------------------------------------------------
% 0.10/0.43  % User time                : 0.012 s
% 0.10/0.43  % System time              : 0.002 s
% 0.10/0.43  % Total time               : 0.014 s
% 0.10/0.43  % Maximum resident set size: 3608 pages
% 0.10/0.43  
% 0.10/0.43  % -------------------------------------------------
% 0.10/0.43  % User time                : 0.035 s
% 0.10/0.43  % System time              : 0.015 s
% 0.10/0.43  % Total time               : 0.050 s
% 0.10/0.43  % Maximum resident set size: 4864 pages
% 0.10/0.43  % E exiting
%------------------------------------------------------------------------------