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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWC191+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 02:43:24 PM UTC 2026

% Result   : Theorem 0.14s 10.51s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   45 (  19 unt;   0 def)
%            Number of atoms       :  195 (  49 equ)
%            Maximal formula atoms :   26 (   4 avg)
%            Number of connectives :  225 (  75   ~;  77   |;  32   &)
%                                         (   1 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-2 aty)
%            Number of variables   :   74 (   0 sgn  55   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( ! [X6] :
                        ( ssItem(X6)
                       => ! [X7] :
                            ( ssItem(X7)
                           => ! [X8] :
                                ( ssList(X8)
                               => ! [X9] :
                                    ( ssList(X9)
                                   => ( X6 = X7
                                      | app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) != X1 ) ) ) ) )
                    | ? [X5] :
                        ( equalelemsP(X5)
                        & segmentP(X5,X3)
                        & frontsegP(X4,X5)
                        & neq(X3,X5)
                        & ssList(X5) )
                    | ~ equalelemsP(X3)
                    | ~ frontsegP(X4,X3)
                    | X1 != X3
                    | X2 != X4 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(ax82,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(ax81,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) = app(cons(X2,nil),X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).

fof(ax27,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssItem(X3)
             => cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax27) ).

fof(ax14,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( equalelemsP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ( app(X4,cons(X2,cons(X3,X5))) = X1
                         => X2 = X3 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax14) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( ! [X6] :
                          ( ssItem(X6)
                         => ! [X7] :
                              ( ssItem(X7)
                             => ! [X8] :
                                  ( ssList(X8)
                                 => ! [X9] :
                                      ( ssList(X9)
                                     => ( X6 = X7
                                        | app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) != X1 ) ) ) ) )
                      | ? [X5] :
                          ( equalelemsP(X5)
                          & segmentP(X5,X3)
                          & frontsegP(X4,X5)
                          & neq(X3,X5)
                          & ssList(X5) )
                      | ~ equalelemsP(X3)
                      | ~ frontsegP(X4,X3)
                      | X1 != X3
                      | X2 != X4 ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_8,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( ! [X6] :
                          ( ssItem(X6)
                         => ! [X7] :
                              ( ssItem(X7)
                             => ! [X8] :
                                  ( ssList(X8)
                                 => ! [X9] :
                                      ( ssList(X9)
                                     => ( X6 = X7
                                        | app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) != X1 ) ) ) ) )
                      | ? [X5] :
                          ( equalelemsP(X5)
                          & segmentP(X5,X3)
                          & frontsegP(X4,X5)
                          & neq(X3,X5)
                          & ssList(X5) )
                      | ~ equalelemsP(X3)
                      | ~ frontsegP(X4,X3)
                      | X1 != X3
                      | X2 != X4 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_9,negated_conjecture,
    ! [X258] :
      ( esk52_0 != esk53_0
      & app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk48_0
      & ssList(esk55_0)
      & ssList(esk54_0)
      & ssItem(esk53_0)
      & ssItem(esk52_0)
      & ( ~ equalelemsP(X258)
        | ~ segmentP(X258,esk50_0)
        | ~ frontsegP(esk51_0,X258)
        | ~ neq(esk50_0,X258)
        | ~ ssList(X258) )
      & equalelemsP(esk50_0)
      & frontsegP(esk51_0,esk50_0)
      & esk48_0 = esk50_0
      & esk49_0 = esk51_0
      & ssList(esk51_0)
      & ssList(esk50_0)
      & ssList(esk49_0)
      & ssList(esk48_0) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).

cnf(c_0_10,negated_conjecture,
    app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk48_0,
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_11,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_12,plain,
    ! [X225,X226,X227] :
      ( app(app(X225,X226),X227) = app(X225,app(X226,X227))
      | ~ ssList(X227)
      | ~ ssList(X226)
      | ~ ssList(X225) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])])]) ).

cnf(c_0_13,negated_conjecture,
    app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(app(X1,X2),X3) = app(X1,app(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ssList(esk54_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_16,plain,
    ! [X114,X115] :
      ( ssList(cons(X115,X114))
      | ~ ssItem(X115)
      | ~ ssList(X114) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ ssList(cons(esk52_0,nil))
    | ~ ssList(cons(esk53_0,nil))
    | app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0) = esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).

cnf(c_0_18,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | ssList(cons(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_19,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_20,negated_conjecture,
    ssItem(esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ ssList(cons(esk52_0,nil))
    | app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0) = esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).

cnf(c_0_22,negated_conjecture,
    ssItem(esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_23,plain,
    ! [X223,X224] :
      ( cons(X224,X223) = app(cons(X224,nil),X223)
      | ~ ssItem(X224)
      | ~ ssList(X223) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])]) ).

cnf(c_0_24,negated_conjecture,
    app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_18]),c_0_19]),c_0_22])]) ).

cnf(c_0_25,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | cons(X2,X1) = app(cons(X2,nil),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ ssList(cons(esk53_0,nil))
    | app(app(esk54_0,cons(esk52_0,cons(esk53_0,nil))),esk55_0) = esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_22])]) ).

cnf(c_0_27,negated_conjecture,
    app(app(esk54_0,cons(esk52_0,cons(esk53_0,nil))),esk55_0) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_18]),c_0_19]),c_0_20])]) ).

cnf(c_0_28,negated_conjecture,
    ssList(esk55_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ ssList(cons(esk52_0,cons(esk53_0,nil)))
    | app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0)) = esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_27]),c_0_28]),c_0_15])]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ ssList(cons(esk53_0,nil))
    | app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0)) = esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_18]),c_0_22])]) ).

fof(c_0_31,plain,
    ! [X135,X136,X137] :
      ( cons(X137,app(X136,X135)) = app(cons(X137,X136),X135)
      | ~ ssItem(X137)
      | ~ ssList(X136)
      | ~ ssList(X135) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])])]) ).

cnf(c_0_32,negated_conjecture,
    app(esk54_0,app(cons(esk52_0,cons(esk53_0,nil)),esk55_0)) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_18]),c_0_19]),c_0_20])]) ).

cnf(c_0_33,plain,
    ( ~ ssItem(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ ssList(cons(esk53_0,nil))
    | app(esk54_0,cons(esk52_0,app(cons(esk53_0,nil),esk55_0))) = esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_28]),c_0_22])]) ).

fof(c_0_35,plain,
    ! [X103,X104,X105,X106,X107] :
      ( ( ~ ssList(X103)
        | equalelemsP(X103)
        | esk40_1(X103) != esk41_1(X103) )
      & ( ~ ssList(X103)
        | equalelemsP(X103)
        | app(esk42_1(X103),cons(esk40_1(X103),cons(esk41_1(X103),esk43_1(X103)))) = X103 )
      & ( ~ ssList(X103)
        | equalelemsP(X103)
        | ssList(esk43_1(X103)) )
      & ( ~ ssList(X103)
        | equalelemsP(X103)
        | ssList(esk42_1(X103)) )
      & ( ~ ssList(X103)
        | equalelemsP(X103)
        | ssItem(esk41_1(X103)) )
      & ( ~ ssList(X103)
        | equalelemsP(X103)
        | ssItem(esk40_1(X103)) )
      & ( ~ ssList(X103)
        | X104 = X105
        | app(X106,cons(X104,cons(X105,X107))) != X103
        | ~ ssList(X107)
        | ~ ssList(X106)
        | ~ ssItem(X105)
        | ~ ssItem(X104)
        | ~ equalelemsP(X103) ) ),
    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)],[ax14])])])])])]) ).

cnf(c_0_36,negated_conjecture,
    app(esk54_0,cons(esk52_0,app(cons(esk53_0,nil),esk55_0))) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_18]),c_0_19]),c_0_20])]) ).

cnf(c_0_37,plain,
    ( ~ ssList(X1)
    | app(X4,cons(X2,cons(X3,X5))) != X1
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssItem(X3)
    | ~ ssItem(X2)
    | ~ equalelemsP(X1)
    | X2 = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_38,negated_conjecture,
    app(esk54_0,cons(esk52_0,cons(esk53_0,esk55_0))) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_25]),c_0_28]),c_0_20])]) ).

cnf(c_0_39,negated_conjecture,
    esk52_0 != esk53_0,
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_40,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ ssList(X1)
    | ~ equalelemsP(X1)
    | esk50_0 != X1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_28]),c_0_15]),c_0_20]),c_0_22])]),c_0_39]) ).

cnf(c_0_42,negated_conjecture,
    equalelemsP(esk50_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_43,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_40,c_0_11]) ).

cnf(c_0_44,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_41]),c_0_42]),c_0_43])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC191+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/10.39  % Computer : n015.cluster.edu
% 0.10/10.39  % Model    : x86_64 x86_64
% 0.10/10.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.39  % Memory   : 8046.5625MB
% 0.10/10.39  % OS       : Linux 6.8.0-71-generic
% 0.10/10.39  % CPULimit : 300
% 0.10/10.39  % WCLimit  : 300
% 0.10/10.39  % DateTime : Mon Sep 21 08:06:31 UTC 2026
% 0.10/10.39  % CPUTime  : 
% 0.10/10.39  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/10.43  Running first-order theorem proving
% 0.14/10.43  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/benchmark/theBenchmark.p
% 0.14/10.51  % Version: 3.5.1
% 0.14/10.51  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/10.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.51  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/10.51  % Starting new_bool_3 with 300s (1) cores
% 0.14/10.51  % Starting new_bool_1 with 300s (1) cores
% 0.14/10.51  % Starting sh5l with 300s (1) cores
% 0.14/10.51  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 995443 completed with status 0
% 0.14/10.51  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.14/10.51  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/10.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.51  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/10.51  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/10.51  % No SInE strategy applied
% 0.14/10.51  % Search class: FGHSF-FSLM21-MFFFFFNN
% 0.14/10.51  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/10.51  % Starting SubtermCWHack with 136s (1) cores
% 0.14/10.51  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/10.51  % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 0.14/10.51  % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.14/10.51  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.14/10.51  % G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with pid 995452 completed with status 0
% 0.14/10.51  % Result found by G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d
% 0.14/10.51  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/10.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.51  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/10.51  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/10.51  % No SInE strategy applied
% 0.14/10.51  % Search class: FGHSF-FSLM21-MFFFFFNN
% 0.14/10.51  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/10.51  % Starting SubtermCWHack with 136s (1) cores
% 0.14/10.51  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/10.51  % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 0.14/10.51  % Preprocessing time       : 0.004 s
% 0.14/10.51  
% 0.14/10.51  % Proof found!
% 0.14/10.51  % SZS status Theorem
% 0.14/10.51  % SZS output start CNFRefutation
% See solution above
% 0.14/10.51  % Parsed axioms                        : 96
% 0.14/10.51  % Removed by relevancy pruning/SinE    : 0
% 0.14/10.51  % Initial clauses                      : 205
% 0.14/10.51  % Removed in clause preprocessing      : 2
% 0.14/10.51  % Initial clauses in saturation        : 203
% 0.14/10.51  % Processed clauses                    : 310
% 0.14/10.51  % ...of these trivial                  : 3
% 0.14/10.51  % ...subsumed                          : 7
% 0.14/10.51  % ...remaining for further processing  : 300
% 0.14/10.51  % Other redundant clauses eliminated   : 69
% 0.14/10.51  % Clauses deleted for lack of memory   : 0
% 0.14/10.51  % Backward-subsumed                    : 4
% 0.14/10.51  % Backward-rewritten                   : 19
% 0.14/10.51  % Generated clauses                    : 1009
% 0.14/10.51  % ...of the previous two non-redundant : 856
% 0.14/10.51  % ...aggressively subsumed             : 0
% 0.14/10.51  % Contextual simplify-reflections      : 3
% 0.14/10.51  % Paramodulations                      : 915
% 0.14/10.51  % Factorizations                       : 0
% 0.14/10.51  % NegExts                              : 0
% 0.14/10.51  % Equation resolutions                 : 94
% 0.14/10.51  % Disequality decompositions           : 0
% 0.14/10.51  % Total rewrite steps                  : 748
% 0.14/10.51  % ...of those cached                   : 714
% 0.14/10.51  % Propositional unsat checks           : 0
% 0.14/10.51  %    Propositional check models        : 0
% 0.14/10.51  %    Propositional check unsatisfiable : 0
% 0.14/10.51  %    Propositional clauses             : 0
% 0.14/10.51  %    Propositional clauses after purity: 0
% 0.14/10.51  %    Propositional unsat core size     : 0
% 0.14/10.51  %    Propositional preprocessing time  : 0.000
% 0.14/10.51  %    Propositional encoding time       : 0.000
% 0.14/10.51  %    Propositional solver time         : 0.000
% 0.14/10.51  %    Success case prop preproc time    : 0.000
% 0.14/10.51  %    Success case prop encoding time   : 0.000
% 0.14/10.51  %    Success case prop solver time     : 0.000
% 0.14/10.51  % Current number of processed clauses  : 271
% 0.14/10.51  %    Positive orientable unit clauses  : 50
% 0.14/10.51  %    Positive unorientable unit clauses: 0
% 0.14/10.51  %    Negative unit clauses             : 3
% 0.14/10.51  %    Non-unit-clauses                  : 218
% 0.14/10.51  % Current number of unprocessed clauses: 746
% 0.14/10.51  % ...number of literals in the above   : 4628
% 0.14/10.51  % Current number of archived formulas  : 0
% 0.14/10.51  % Current number of archived clauses   : 23
% 0.14/10.51  % Clause-clause subsumption calls (NU) : 8684
% 0.14/10.51  % Rec. Clause-clause subsumption calls : 2985
% 0.14/10.51  % Non-unit clause-clause subsumptions  : 13
% 0.14/10.51  % Unit Clause-clause subsumption calls : 58
% 0.14/10.51  % Rewrite failures with RHS unbound    : 0
% 0.14/10.51  % BW rewrite match attempts            : 36
% 0.14/10.51  % BW rewrite match successes           : 13
% 0.14/10.51  % Condensation attempts                : 0
% 0.14/10.51  % Condensation successes               : 0
% 0.14/10.51  % Termbank termtop insertions          : 39664
% 0.14/10.51  % Search garbage collected termcells   : 4357
% 0.14/10.51  
% 0.14/10.51  % -------------------------------------------------
% 0.14/10.51  % User time                : 0.053 s
% 0.14/10.51  % System time              : 0.007 s
% 0.14/10.51  % Total time               : 0.060 s
% 0.14/10.51  % Maximum resident set size: 4224 pages
% 0.14/10.51  
% 0.14/10.51  % -------------------------------------------------
% 0.14/10.51  % User time                : 0.225 s
% 0.14/10.51  % System time              : 0.025 s
% 0.14/10.51  % Total time               : 0.250 s
% 0.14/10.51  % Maximum resident set size: 4608 pages
% 0.14/10.51  % E exiting
%------------------------------------------------------------------------------