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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWC166+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/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 02:43:17 PM UTC 2026

% Result   : Theorem 0.30s 0.53s
% Output   : CNFRefutation 0.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   56 (  18 unt;   0 def)
%            Number of atoms       :  229 (  40 equ)
%            Maximal formula atoms :   34 (   4 avg)
%            Number of connectives :  272 (  99   ~;  97   |;  25   &)
%                                         (   4 <=>;  47  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   9 con; 0-2 aty)
%            Number of variables   :   91 (   0 sgn  67   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( ! [X5] :
                        ( ssItem(X5)
                       => ! [X6] :
                            ( ssItem(X6)
                           => ! [X7] :
                                ( ssList(X7)
                               => ! [X8] :
                                    ( ssList(X8)
                                   => ( neq(X5,X6)
                                      | app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != X1 ) ) ) ) )
                    | ~ singletonP(X3)
                    | X1 != X3
                    | X2 != X4 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(ax1,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax1) ).

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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(ax81,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) = app(cons(X2,nil),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).

fof(ax59,axiom,
    ! [X1] :
      ( ssItem(X1)
     => cyclefreeP(cons(X1,nil)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax59) ).

fof(ax4,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( singletonP(X1)
      <=> ? [X2] :
            ( cons(X2,nil) = X1
            & ssItem(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).

fof(ax8,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( cyclefreeP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
                             => ~ ( leq(X3,X2)
                                  & leq(X2,X3) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax8) ).

fof(ax31,axiom,
    ! [X1] :
      ( ssItem(X1)
     => leq(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax31) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( ! [X5] :
                          ( ssItem(X5)
                         => ! [X6] :
                              ( ssItem(X6)
                             => ! [X7] :
                                  ( ssList(X7)
                                 => ! [X8] :
                                      ( ssList(X8)
                                     => ( neq(X5,X6)
                                        | app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != X1 ) ) ) ) )
                      | ~ singletonP(X3)
                      | X1 != X3
                      | X2 != X4 ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_12,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( ! [X5] :
                          ( ssItem(X5)
                         => ! [X6] :
                              ( ssItem(X6)
                             => ! [X7] :
                                  ( ssList(X7)
                                 => ! [X8] :
                                      ( ssList(X8)
                                     => ( neq(X5,X6)
                                        | app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != X1 ) ) ) ) )
                      | ~ singletonP(X3)
                      | X1 != X3
                      | X2 != X4 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_13,plain,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    inference(fof_simplification,[status(thm)],[ax1]) ).

fof(c_0_14,negated_conjecture,
    ( ~ neq(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)
    & singletonP(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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).

fof(c_0_15,plain,
    ! [X9,X10] :
      ( ( ~ ssItem(X9)
        | ~ ssItem(X10)
        | neq(X9,X10)
        | X9 = X10 )
      & ( ~ ssItem(X9)
        | ~ ssItem(X10)
        | X9 != X10
        | ~ neq(X9,X10) ) ),
    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_13])])])])]) ).

fof(c_0_16,plain,
    ! [X224,X225,X226] :
      ( app(app(X224,X225),X226) = app(X224,app(X225,X226))
      | ~ ssList(X226)
      | ~ ssList(X225)
      | ~ ssList(X224) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])])]) ).

cnf(c_0_17,negated_conjecture,
    ~ neq(esk52_0,esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | neq(X1,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    ssItem(esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    ssItem(esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,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_14]) ).

cnf(c_0_22,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(app(X1,X2),X3) = app(X1,app(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    ssList(esk55_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_24,negated_conjecture,
    esk53_0 = esk52_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])]) ).

fof(c_0_25,plain,
    ! [X113,X114] :
      ( ssList(cons(X114,X113))
      | ~ ssItem(X114)
      | ~ ssList(X113) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ ssList(cons(esk52_0,nil))
    | ~ ssList(app(esk54_0,cons(esk52_0,nil)))
    | app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0)) = esk48_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),c_0_24]),c_0_24]) ).

cnf(c_0_27,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | ssList(cons(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_28,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

fof(c_0_29,plain,
    ! [X132,X133] :
      ( ssList(app(X132,X133))
      | ~ ssList(X133)
      | ~ ssList(X132) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ ssList(app(esk54_0,cons(esk52_0,nil)))
    | app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0)) = esk48_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_20])]) ).

cnf(c_0_31,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    ssList(esk54_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ ssList(cons(esk52_0,nil))
    | app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0)) = esk48_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

fof(c_0_34,plain,
    ! [X222,X223] :
      ( cons(X223,X222) = app(cons(X223,nil),X222)
      | ~ ssItem(X223)
      | ~ ssList(X222) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])]) ).

fof(c_0_35,plain,
    ! [X198] :
      ( cyclefreeP(cons(X198,nil))
      | ~ ssItem(X198) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax59])])]) ).

fof(c_0_36,plain,
    ! [X19,X21] :
      ( ( ~ ssList(X19)
        | singletonP(X19)
        | cons(X21,nil) != X19
        | ~ ssItem(X21) )
      & ( ~ ssList(X19)
        | ~ singletonP(X19)
        | cons(esk5_1(X19),nil) = X19 )
      & ( ~ ssList(X19)
        | ~ singletonP(X19)
        | ssItem(esk5_1(X19)) ) ),
    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)],[ax4])])])])])]) ).

fof(c_0_37,plain,
    ! [X36,X37,X38,X39,X40,X41] :
      ( ( ~ ssList(X36)
        | cyclefreeP(X36)
        | leq(esk11_1(X36),esk10_1(X36)) )
      & ( ~ ssList(X36)
        | cyclefreeP(X36)
        | leq(esk10_1(X36),esk11_1(X36)) )
      & ( ~ ssList(X36)
        | cyclefreeP(X36)
        | app(app(esk12_1(X36),cons(esk10_1(X36),esk13_1(X36))),cons(esk11_1(X36),esk14_1(X36))) = X36 )
      & ( ~ ssList(X36)
        | cyclefreeP(X36)
        | ssList(esk14_1(X36)) )
      & ( ~ ssList(X36)
        | cyclefreeP(X36)
        | ssList(esk13_1(X36)) )
      & ( ~ ssList(X36)
        | cyclefreeP(X36)
        | ssList(esk12_1(X36)) )
      & ( ~ ssList(X36)
        | cyclefreeP(X36)
        | ssItem(esk11_1(X36)) )
      & ( ~ ssList(X36)
        | cyclefreeP(X36)
        | ssItem(esk10_1(X36)) )
      & ( ~ ssList(X36)
        | ~ leq(X38,X37)
        | ~ leq(X37,X38)
        | app(app(X39,cons(X37,X40)),cons(X38,X41)) != X36
        | ~ ssList(X41)
        | ~ ssList(X40)
        | ~ ssList(X39)
        | ~ ssItem(X38)
        | ~ ssItem(X37)
        | ~ cyclefreeP(X36) ) ),
    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)],[ax8])])])])])]) ).

cnf(c_0_38,negated_conjecture,
    app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0)) = esk48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_27]),c_0_28]),c_0_20])]) ).

cnf(c_0_39,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | cons(X2,X1) = app(cons(X2,nil),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_40,plain,
    ( ~ ssItem(X1)
    | cyclefreeP(cons(X1,nil)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_41,plain,
    ( ~ ssList(X1)
    | ~ singletonP(X1)
    | cons(esk5_1(X1),nil) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_42,plain,
    ( ~ ssList(X1)
    | ~ singletonP(X1)
    | ssItem(esk5_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_43,negated_conjecture,
    singletonP(esk50_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_44,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_45,plain,
    ( ~ ssList(X1)
    | ~ leq(X3,X2)
    | ~ leq(X2,X3)
    | app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
    | ~ ssList(X6)
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssItem(X3)
    | ~ ssItem(X2)
    | ~ cyclefreeP(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_46,negated_conjecture,
    app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,esk55_0)) = esk48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_23]),c_0_20])]) ).

cnf(c_0_47,plain,
    ( ~ ssList(X1)
    | ~ singletonP(X1)
    | cyclefreeP(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    singletonP(esk48_0),
    inference(rw,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_49,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ ssList(X1)
    | ~ cyclefreeP(X1)
    | ~ leq(esk52_0,esk52_0)
    | esk48_0 != X1 ),
    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_45,c_0_46]),c_0_23]),c_0_28]),c_0_32]),c_0_20])]) ).

cnf(c_0_51,negated_conjecture,
    cyclefreeP(esk48_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).

fof(c_0_52,plain,
    ! [X143] :
      ( leq(X143,X143)
      | ~ ssItem(X143) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax31])])]) ).

cnf(c_0_53,negated_conjecture,
    ~ leq(esk52_0,esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_50]),c_0_51]),c_0_49])]) ).

cnf(c_0_54,plain,
    ( ~ ssItem(X1)
    | leq(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_55,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC166+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36  % Computer : n015.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Mon Sep 21 08:04:52 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.30/0.53  % Version: 3.5.1
% 0.30/0.53  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.30/0.53  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.53  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.30/0.53  % Starting new_bool_3 with 300s (1) cores
% 0.30/0.53  % Starting new_bool_1 with 300s (1) cores
% 0.30/0.53  % Starting sh5l with 300s (1) cores
% 0.30/0.53  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 991581 completed with status 0
% 0.30/0.53  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.30/0.53  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.30/0.53  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.53  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.30/0.53  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.30/0.53  % No SInE strategy applied
% 0.30/0.53  % Search class: FGHSF-FSLM21-MFFFFFNN
% 0.30/0.53  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.30/0.53  % Starting SubtermCWHack with 136s (1) cores
% 0.30/0.53  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.30/0.53  % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 0.30/0.53  % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.30/0.53  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.30/0.53  % G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with pid 991590 completed with status 0
% 0.30/0.53  % Result found by G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d
% 0.30/0.53  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.30/0.53  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.53  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.30/0.53  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.30/0.53  % No SInE strategy applied
% 0.30/0.53  % Search class: FGHSF-FSLM21-MFFFFFNN
% 0.30/0.53  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.30/0.53  % Starting SubtermCWHack with 136s (1) cores
% 0.30/0.53  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.30/0.53  % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 0.30/0.53  % Preprocessing time       : 0.004 s
% 0.30/0.53  
% 0.30/0.53  % Proof found!
% 0.30/0.53  % SZS status Theorem
% 0.30/0.53  % SZS output start CNFRefutation
% See solution above
% 0.30/0.53  % Parsed axioms                        : 96
% 0.30/0.53  % Removed by relevancy pruning/SinE    : 0
% 0.30/0.53  % Initial clauses                      : 203
% 0.30/0.53  % Removed in clause preprocessing      : 2
% 0.30/0.53  % Initial clauses in saturation        : 201
% 0.30/0.53  % Processed clauses                    : 702
% 0.30/0.53  % ...of these trivial                  : 16
% 0.30/0.53  % ...subsumed                          : 148
% 0.30/0.53  % ...remaining for further processing  : 538
% 0.30/0.53  % Other redundant clauses eliminated   : 69
% 0.30/0.53  % Clauses deleted for lack of memory   : 0
% 0.30/0.53  % Backward-subsumed                    : 79
% 0.30/0.53  % Backward-rewritten                   : 103
% 0.30/0.53  % Generated clauses                    : 2093
% 0.30/0.53  % ...of the previous two non-redundant : 1841
% 0.30/0.53  % ...aggressively subsumed             : 0
% 0.30/0.53  % Contextual simplify-reflections      : 37
% 0.30/0.53  % Paramodulations                      : 1995
% 0.30/0.53  % Factorizations                       : 0
% 0.30/0.53  % NegExts                              : 0
% 0.30/0.53  % Equation resolutions                 : 98
% 0.30/0.53  % Disequality decompositions           : 0
% 0.30/0.53  % Total rewrite steps                  : 1949
% 0.30/0.53  % ...of those cached                   : 1882
% 0.30/0.53  % Propositional unsat checks           : 0
% 0.30/0.53  %    Propositional check models        : 0
% 0.30/0.53  %    Propositional check unsatisfiable : 0
% 0.30/0.53  %    Propositional clauses             : 0
% 0.30/0.53  %    Propositional clauses after purity: 0
% 0.30/0.53  %    Propositional unsat core size     : 0
% 0.30/0.53  %    Propositional preprocessing time  : 0.000
% 0.30/0.53  %    Propositional encoding time       : 0.000
% 0.30/0.53  %    Propositional solver time         : 0.000
% 0.30/0.53  %    Success case prop preproc time    : 0.000
% 0.30/0.53  %    Success case prop encoding time   : 0.000
% 0.30/0.53  %    Success case prop solver time     : 0.000
% 0.30/0.53  % Current number of processed clauses  : 350
% 0.30/0.53  %    Positive orientable unit clauses  : 66
% 0.30/0.53  %    Positive unorientable unit clauses: 0
% 0.30/0.53  %    Negative unit clauses             : 10
% 0.30/0.53  %    Non-unit-clauses                  : 274
% 0.30/0.53  % Current number of unprocessed clauses: 1275
% 0.30/0.53  % ...number of literals in the above   : 7959
% 0.30/0.53  % Current number of archived formulas  : 0
% 0.30/0.53  % Current number of archived clauses   : 182
% 0.30/0.53  % Clause-clause subsumption calls (NU) : 15616
% 0.30/0.53  % Rec. Clause-clause subsumption calls : 7494
% 0.30/0.53  % Non-unit clause-clause subsumptions  : 200
% 0.30/0.53  % Unit Clause-clause subsumption calls : 1010
% 0.30/0.53  % Rewrite failures with RHS unbound    : 0
% 0.30/0.53  % BW rewrite match attempts            : 64
% 0.30/0.53  % BW rewrite match successes           : 36
% 0.30/0.53  % Condensation attempts                : 0
% 0.30/0.53  % Condensation successes               : 0
% 0.30/0.53  % Termbank termtop insertions          : 62981
% 0.30/0.53  % Search garbage collected termcells   : 4286
% 0.30/0.53  
% 0.30/0.53  % -------------------------------------------------
% 0.30/0.53  % User time                : 0.091 s
% 0.30/0.53  % System time              : 0.010 s
% 0.30/0.53  % Total time               : 0.101 s
% 0.30/0.53  % Maximum resident set size: 4272 pages
% 0.30/0.53  
% 0.30/0.53  % -------------------------------------------------
% 0.30/0.53  % User time                : 0.418 s
% 0.30/0.53  % System time              : 0.035 s
% 0.30/0.53  % Total time               : 0.452 s
% 0.30/0.53  % Maximum resident set size: 4608 pages
% 0.30/0.53  % E exiting
%------------------------------------------------------------------------------