TSTP Solution File: SWC316+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWC316+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n013.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 : Tue Aug 22 11:02:06 EDT 2023

% Result   : Theorem 18.62s 6.52s
% Output   : CNFRefutation 18.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   92
% Syntax   : Number of formulae    :  266 (  97 unt;  77 typ;   0 def)
%            Number of atoms       :  398 ( 164 equ)
%            Maximal formula atoms :   25 (   2 avg)
%            Number of connectives :  389 ( 180   ~; 161   |;  15   &)
%                                         (   2 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   85 (  68   >;  17   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-2 aty)
%            Number of functors    :   58 (  58 usr;   9 con; 0-2 aty)
%            Number of variables   :   75 (;  69   !;   6   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ segmentP > rearsegP > neq > memberP > lt > leq > gt > geq > frontsegP > totalorderedP > totalorderP > strictorderedP > strictorderP > ssList > ssItem > singletonP > equalelemsP > duplicatefreeP > cyclefreeP > cons > app > #nlpp > tl > hd > nil > #skF_36 > #skF_25 > #skF_5 > #skF_52 > #skF_44 > #skF_21 > #skF_16 > #skF_6 > #skF_49 > #skF_18 > #skF_24 > #skF_35 > #skF_19 > #skF_31 > #skF_22 > #skF_37 > #skF_40 > #skF_48 > #skF_3 > #skF_34 > #skF_29 > #skF_15 > #skF_32 > #skF_53 > #skF_51 > #skF_28 > #skF_10 > #skF_41 > #skF_2 > #skF_38 > #skF_43 > #skF_1 > #skF_8 > #skF_39 > #skF_23 > #skF_33 > #skF_26 > #skF_50 > #skF_13 > #skF_17 > #skF_11 > #skF_14 > #skF_27 > #skF_12 > #skF_7 > #skF_46 > #skF_42 > #skF_45 > #skF_9 > #skF_30 > #skF_4 > #skF_20 > #skF_47

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_36',type,
    '#skF_36': $i > $i ).

tff(segmentP,type,
    segmentP: ( $i * $i ) > $o ).

tff('#skF_25',type,
    '#skF_25': $i > $i ).

tff(totalorderedP,type,
    totalorderedP: $i > $o ).

tff('#skF_5',type,
    '#skF_5': $i > $i ).

tff(equalelemsP,type,
    equalelemsP: $i > $o ).

tff('#skF_52',type,
    '#skF_52': $i ).

tff('#skF_44',type,
    '#skF_44': $i > $i ).

tff('#skF_21',type,
    '#skF_21': $i > $i ).

tff('#skF_16',type,
    '#skF_16': $i > $i ).

tff('#skF_6',type,
    '#skF_6': ( $i * $i ) > $i ).

tff('#skF_49',type,
    '#skF_49': $i ).

tff('#skF_18',type,
    '#skF_18': $i > $i ).

tff('#skF_24',type,
    '#skF_24': $i > $i ).

tff('#skF_35',type,
    '#skF_35': $i > $i ).

tff(singletonP,type,
    singletonP: $i > $o ).

tff('#skF_19',type,
    '#skF_19': $i > $i ).

tff('#skF_31',type,
    '#skF_31': $i > $i ).

tff('#skF_22',type,
    '#skF_22': $i > $i ).

tff(frontsegP,type,
    frontsegP: ( $i * $i ) > $o ).

tff('#skF_37',type,
    '#skF_37': $i > $i ).

tff(totalorderP,type,
    totalorderP: $i > $o ).

tff(ssItem,type,
    ssItem: $i > $o ).

tff('#skF_40',type,
    '#skF_40': $i > $i ).

tff('#skF_48',type,
    '#skF_48': $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i ) > $i ).

tff('#skF_34',type,
    '#skF_34': $i > $i ).

tff('#skF_29',type,
    '#skF_29': $i > $i ).

tff('#skF_15',type,
    '#skF_15': $i > $i ).

tff('#skF_32',type,
    '#skF_32': $i > $i ).

tff('#skF_53',type,
    '#skF_53': $i ).

tff('#skF_51',type,
    '#skF_51': $i ).

tff('#skF_28',type,
    '#skF_28': $i > $i ).

tff('#skF_10',type,
    '#skF_10': $i > $i ).

tff('#skF_41',type,
    '#skF_41': $i > $i ).

tff('#skF_2',type,
    '#skF_2': $i ).

tff('#skF_38',type,
    '#skF_38': $i > $i ).

tff('#skF_43',type,
    '#skF_43': $i > $i ).

tff(hd,type,
    hd: $i > $i ).

tff(app,type,
    app: ( $i * $i ) > $i ).

tff('#skF_1',type,
    '#skF_1': $i ).

tff('#skF_8',type,
    '#skF_8': ( $i * $i ) > $i ).

tff(duplicatefreeP,type,
    duplicatefreeP: $i > $o ).

tff(gt,type,
    gt: ( $i * $i ) > $o ).

tff('#skF_39',type,
    '#skF_39': $i > $i ).

tff('#skF_23',type,
    '#skF_23': $i > $i ).

tff(rearsegP,type,
    rearsegP: ( $i * $i ) > $o ).

tff('#skF_33',type,
    '#skF_33': $i > $i ).

tff(memberP,type,
    memberP: ( $i * $i ) > $o ).

tff('#skF_26',type,
    '#skF_26': $i > $i ).

tff('#skF_50',type,
    '#skF_50': $i ).

tff('#skF_13',type,
    '#skF_13': $i > $i ).

tff(ssList,type,
    ssList: $i > $o ).

tff(cons,type,
    cons: ( $i * $i ) > $i ).

tff(strictorderP,type,
    strictorderP: $i > $o ).

tff('#skF_17',type,
    '#skF_17': $i > $i ).

tff(geq,type,
    geq: ( $i * $i ) > $o ).

tff('#skF_11',type,
    '#skF_11': $i > $i ).

tff(leq,type,
    leq: ( $i * $i ) > $o ).

tff('#skF_14',type,
    '#skF_14': $i > $i ).

tff(lt,type,
    lt: ( $i * $i ) > $o ).

tff(tl,type,
    tl: $i > $i ).

tff(neq,type,
    neq: ( $i * $i ) > $o ).

tff('#skF_27',type,
    '#skF_27': $i > $i ).

tff('#skF_12',type,
    '#skF_12': $i > $i ).

tff('#skF_7',type,
    '#skF_7': ( $i * $i ) > $i ).

tff('#skF_46',type,
    '#skF_46': $i > $i ).

tff(nil,type,
    nil: $i ).

tff('#skF_42',type,
    '#skF_42': $i > $i ).

tff('#skF_45',type,
    '#skF_45': $i > $i ).

tff('#skF_9',type,
    '#skF_9': ( $i * $i ) > $i ).

tff(strictorderedP,type,
    strictorderedP: $i > $o ).

tff('#skF_30',type,
    '#skF_30': $i > $i ).

tff('#skF_4',type,
    '#skF_4': ( $i * $i ) > $i ).

tff('#skF_20',type,
    '#skF_20': $i > $i ).

tff(cyclefreeP,type,
    cyclefreeP: $i > $o ).

tff('#skF_47',type,
    '#skF_47': $i > $i ).

tff(f_319,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

tff(f_1042,negated_conjecture,
    ~ ! [U] :
        ( ssList(U)
       => ! [V] :
            ( ssList(V)
           => ! [W] :
                ( ssList(W)
               => ! [X] :
                    ( ssList(X)
                   => ( ( V != X )
                      | ( U != W )
                      | ( ( ~ neq(V,nil)
                          | ! [Y] :
                              ( ssItem(Y)
                             => ! [Z] :
                                  ( ssList(Z)
                                 => ( ( app(cons(Y,nil),Z) != W )
                                    | ( app(Z,cons(Y,nil)) != X ) ) ) )
                          | ( ? [X1] :
                                ( ssList(X1)
                                & ( V = X1 )
                                & ? [X2] :
                                    ( ssList(X2)
                                    & ? [X3] :
                                        ( ssList(X3)
                                        & ( tl(U) = X2 )
                                        & ( app(X2,X3) = X1 )
                                        & ? [X4] :
                                            ( ssItem(X4)
                                            & ( cons(X4,nil) = X3 )
                                            & ( hd(U) = X4 )
                                            & neq(nil,U) )
                                        & neq(nil,U) ) ) )
                            & neq(U,nil) ) )
                        & ( ~ neq(V,nil)
                          | neq(X,nil) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

tff(f_779,axiom,
    ! [U] :
      ( ssList(U)
     => ( ( nil != U )
       => ? [V] :
            ( ssList(V)
            & ( tl(U) = V ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax76) ).

tff(f_318,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssItem(V)
         => ssList(cons(V,U)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).

tff(f_769,axiom,
    ! [U] :
      ( ssList(U)
     => ( ( nil != U )
       => ? [V] :
            ( ssItem(V)
            & ( hd(U) = V ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax75) ).

tff(f_311,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ( neq(U,V)
          <=> ( U != V ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

tff(f_859,axiom,
    ! [U] :
      ( ssList(U)
     => ( app(U,nil) = U ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).

tff(f_855,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ( ( nil = app(U,V) )
          <=> ( ( nil = V )
              & ( nil = U ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).

tff(f_364,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssItem(V)
         => ( nil != cons(V,U) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).

tff(f_371,axiom,
    ! [U] :
      ( ssList(U)
     => ( ( nil != U )
       => ssItem(hd(U)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).

tff(f_385,axiom,
    ! [U] :
      ( ssList(U)
     => ( ( nil != U )
       => ssList(tl(U)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).

tff(f_399,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ssList(app(U,V)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).

tff(f_834,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssItem(V)
         => ( cons(V,U) = app(cons(V,nil),U) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).

tff(f_392,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssItem(V)
         => ( tl(cons(V,U)) = U ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).

tff(f_378,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssItem(V)
         => ( hd(cons(V,U)) = V ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).

tff(c_168,plain,
    ssList(nil),
    inference(cnfTransformation,[status(thm)],[f_319]) ).

tff(c_390,plain,
    ssList('#skF_50'),
    inference(cnfTransformation,[status(thm)],[f_1042]) ).

tff(c_31412,plain,
    ! [U_2637] :
      ( ( tl(U_2637) = '#skF_47'(U_2637) )
      | ( nil = U_2637 )
      | ~ ssList(U_2637) ),
    inference(cnfTransformation,[status(thm)],[f_779]) ).

tff(c_31529,plain,
    ( ( tl('#skF_50') = '#skF_47'('#skF_50') )
    | ( nil = '#skF_50' ) ),
    inference(resolution,[status(thm)],[c_390,c_31412]) ).

tff(c_35901,plain,
    nil = '#skF_50',
    inference(splitLeft,[status(thm)],[c_31529]) ).

tff(c_386,plain,
    '#skF_49' = '#skF_51',
    inference(cnfTransformation,[status(thm)],[f_1042]) ).

tff(c_418,plain,
    neq('#skF_49',nil),
    inference(cnfTransformation,[status(thm)],[f_1042]) ).

tff(c_426,plain,
    neq('#skF_51',nil),
    inference(demodulation,[status(thm),theory(equality)],[c_386,c_418]) ).

tff(c_404,plain,
    ( ssItem('#skF_52')
    | ~ neq('#skF_51',nil) ),
    inference(cnfTransformation,[status(thm)],[f_1042]) ).

tff(c_432,plain,
    ssItem('#skF_52'),
    inference(demodulation,[status(thm),theory(equality)],[c_426,c_404]) ).

tff(c_166,plain,
    ! [V_861,U_859] :
      ( ssList(cons(V_861,U_859))
      | ~ ssItem(V_861)
      | ~ ssList(U_859) ),
    inference(cnfTransformation,[status(thm)],[f_318]) ).

tff(c_7196,plain,
    ! [U_1732] :
      ( ( tl(U_1732) = '#skF_47'(U_1732) )
      | ( nil = U_1732 )
      | ~ ssList(U_1732) ),
    inference(cnfTransformation,[status(thm)],[f_779]) ).

tff(c_7317,plain,
    ( ( tl('#skF_50') = '#skF_47'('#skF_50') )
    | ( nil = '#skF_50' ) ),
    inference(resolution,[status(thm)],[c_390,c_7196]) ).

tff(c_9631,plain,
    nil = '#skF_50',
    inference(splitLeft,[status(thm)],[c_7317]) ).

tff(c_402,plain,
    ( ssList('#skF_53')
    | ~ neq('#skF_51',nil) ),
    inference(cnfTransformation,[status(thm)],[f_1042]) ).

tff(c_436,plain,
    ssList('#skF_53'),
    inference(demodulation,[status(thm),theory(equality)],[c_426,c_402]) ).

tff(c_7074,plain,
    ! [U_1731] :
      ( ( hd(U_1731) = '#skF_46'(U_1731) )
      | ( nil = U_1731 )
      | ~ ssList(U_1731) ),
    inference(cnfTransformation,[status(thm)],[f_769]) ).

tff(c_7193,plain,
    ( ( hd('#skF_53') = '#skF_46'('#skF_53') )
    | ( nil = '#skF_53' ) ),
    inference(resolution,[status(thm)],[c_436,c_7074]) ).

tff(c_7318,plain,
    nil = '#skF_53',
    inference(splitLeft,[status(thm)],[c_7193]) ).

tff(c_7373,plain,
    ( ( tl('#skF_50') = '#skF_47'('#skF_50') )
    | ( '#skF_53' = '#skF_50' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_7318,c_7317]) ).

tff(c_7374,plain,
    '#skF_53' = '#skF_50',
    inference(splitLeft,[status(thm)],[c_7373]) ).

tff(c_7383,plain,
    nil = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_7374,c_7318]) ).

tff(c_7195,plain,
    ( ( hd('#skF_50') = '#skF_46'('#skF_50') )
    | ( nil = '#skF_50' ) ),
    inference(resolution,[status(thm)],[c_390,c_7074]) ).

tff(c_7393,plain,
    nil = '#skF_50',
    inference(splitLeft,[status(thm)],[c_7195]) ).

tff(c_388,plain,
    ssList('#skF_51'),
    inference(cnfTransformation,[status(thm)],[f_1042]) ).

tff(c_7194,plain,
    ( ( hd('#skF_51') = '#skF_46'('#skF_51') )
    | ( nil = '#skF_51' ) ),
    inference(resolution,[status(thm)],[c_388,c_7074]) ).

tff(c_7408,plain,
    ( ( hd('#skF_51') = '#skF_46'('#skF_51') )
    | ( '#skF_51' = '#skF_50' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_7393,c_7194]) ).

tff(c_7409,plain,
    '#skF_51' = '#skF_50',
    inference(splitLeft,[status(thm)],[c_7408]) ).

tff(c_7357,plain,
    neq('#skF_51','#skF_53'),
    inference(demodulation,[status(thm),theory(equality)],[c_7318,c_426]) ).

tff(c_7424,plain,
    neq('#skF_50','#skF_50'),
    inference(demodulation,[status(thm),theory(equality)],[c_7409,c_7374,c_7357]) ).

tff(c_164,plain,
    ! [V_858] :
      ( ~ neq(V_858,V_858)
      | ~ ssList(V_858) ),
    inference(cnfTransformation,[status(thm)],[f_311]) ).

tff(c_7427,plain,
    ~ ssList('#skF_50'),
    inference(resolution,[status(thm)],[c_7424,c_164]) ).

tff(c_7434,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_7427]) ).

tff(c_7436,plain,
    '#skF_51' != '#skF_50',
    inference(splitRight,[status(thm)],[c_7408]) ).

tff(c_6393,plain,
    ! [U_1676] :
      ( ( app(U_1676,nil) = U_1676 )
      | ~ ssList(U_1676) ),
    inference(cnfTransformation,[status(thm)],[f_859]) ).

tff(c_6406,plain,
    app(nil,nil) = nil,
    inference(resolution,[status(thm)],[c_168,c_6393]) ).

tff(c_7340,plain,
    app('#skF_53','#skF_53') = '#skF_53',
    inference(demodulation,[status(thm),theory(equality)],[c_7318,c_7318,c_7318,c_6406]) ).

tff(c_7440,plain,
    app('#skF_50','#skF_50') = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_7374,c_7374,c_7374,c_7340]) ).

tff(c_400,plain,
    ( ( app(cons('#skF_52',nil),'#skF_53') = '#skF_50' )
    | ~ neq('#skF_51',nil) ),
    inference(cnfTransformation,[status(thm)],[f_1042]) ).

tff(c_430,plain,
    app(cons('#skF_52',nil),'#skF_53') = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_426,c_400]) ).

tff(c_7352,plain,
    app(cons('#skF_52','#skF_53'),'#skF_53') = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_7318,c_430]) ).

tff(c_7504,plain,
    app(cons('#skF_52','#skF_50'),'#skF_50') = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_7374,c_7374,c_7352]) ).

tff(c_352,plain,
    ! [U_1077,V_1079] :
      ( ( nil = U_1077 )
      | ( app(U_1077,V_1079) != nil )
      | ~ ssList(V_1079)
      | ~ ssList(U_1077) ),
    inference(cnfTransformation,[status(thm)],[f_855]) ).

tff(c_9027,plain,
    ! [U_1811,V_1812] :
      ( ( U_1811 = '#skF_50' )
      | ( app(U_1811,V_1812) != '#skF_50' )
      | ~ ssList(V_1812)
      | ~ ssList(U_1811) ),
    inference(demodulation,[status(thm),theory(equality)],[c_7393,c_7393,c_352]) ).

tff(c_9031,plain,
    ( ( cons('#skF_52','#skF_50') = '#skF_50' )
    | ~ ssList('#skF_50')
    | ~ ssList(cons('#skF_52','#skF_50')) ),
    inference(superposition,[status(thm),theory(equality)],[c_7504,c_9027]) ).

tff(c_9043,plain,
    ( ( cons('#skF_52','#skF_50') = '#skF_50' )
    | ~ ssList(cons('#skF_52','#skF_50')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_9031]) ).

tff(c_9056,plain,
    ~ ssList(cons('#skF_52','#skF_50')),
    inference(splitLeft,[status(thm)],[c_9043]) ).

tff(c_9059,plain,
    ( ~ ssItem('#skF_52')
    | ~ ssList('#skF_50') ),
    inference(resolution,[status(thm)],[c_166,c_9056]) ).

tff(c_9063,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_432,c_9059]) ).

tff(c_9064,plain,
    cons('#skF_52','#skF_50') = '#skF_50',
    inference(splitRight,[status(thm)],[c_9043]) ).

tff(c_398,plain,
    ( ( app('#skF_53',cons('#skF_52',nil)) = '#skF_51' )
    | ~ neq('#skF_51',nil) ),
    inference(cnfTransformation,[status(thm)],[f_1042]) ).

tff(c_434,plain,
    app('#skF_53',cons('#skF_52',nil)) = '#skF_51',
    inference(demodulation,[status(thm),theory(equality)],[c_426,c_398]) ).

tff(c_7356,plain,
    app('#skF_53',cons('#skF_52','#skF_53')) = '#skF_51',
    inference(demodulation,[status(thm),theory(equality)],[c_7318,c_434]) ).

tff(c_7494,plain,
    app('#skF_50',cons('#skF_52','#skF_50')) = '#skF_51',
    inference(demodulation,[status(thm),theory(equality)],[c_7374,c_7374,c_7356]) ).

tff(c_9114,plain,
    app('#skF_50','#skF_50') = '#skF_51',
    inference(demodulation,[status(thm),theory(equality)],[c_9064,c_7494]) ).

tff(c_9117,plain,
    '#skF_51' = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_7440,c_9114]) ).

tff(c_9119,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7436,c_9117]) ).

tff(c_9121,plain,
    nil != '#skF_50',
    inference(splitRight,[status(thm)],[c_7195]) ).

tff(c_9143,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_7383,c_9121]) ).

tff(c_9145,plain,
    '#skF_53' != '#skF_50',
    inference(splitRight,[status(thm)],[c_7373]) ).

tff(c_9602,plain,
    ! [U_1839,V_1840] :
      ( neq(U_1839,V_1840)
      | ( V_1840 = U_1839 )
      | ~ ssList(V_1840)
      | ~ ssList(U_1839) ),
    inference(cnfTransformation,[status(thm)],[f_311]) ).

tff(c_827,plain,
    ! [U_1488] :
      ( ( hd(U_1488) = '#skF_46'(U_1488) )
      | ( nil = U_1488 )
      | ~ ssList(U_1488) ),
    inference(cnfTransformation,[status(thm)],[f_769]) ).

tff(c_940,plain,
    ( ( hd('#skF_50') = '#skF_46'('#skF_50') )
    | ( nil = '#skF_50' ) ),
    inference(resolution,[status(thm)],[c_390,c_827]) ).

tff(c_4216,plain,
    nil = '#skF_50',
    inference(splitLeft,[status(thm)],[c_940]) ).

tff(c_4247,plain,
    app(cons('#skF_52','#skF_50'),'#skF_53') = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_4216,c_430]) ).

tff(c_5663,plain,
    ! [U_1666,V_1667] :
      ( ( U_1666 = '#skF_50' )
      | ( app(U_1666,V_1667) != '#skF_50' )
      | ~ ssList(V_1667)
      | ~ ssList(U_1666) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4216,c_4216,c_352]) ).

tff(c_5671,plain,
    ( ( cons('#skF_52','#skF_50') = '#skF_50' )
    | ~ ssList('#skF_53')
    | ~ ssList(cons('#skF_52','#skF_50')) ),
    inference(superposition,[status(thm),theory(equality)],[c_4247,c_5663]) ).

tff(c_5692,plain,
    ( ( cons('#skF_52','#skF_50') = '#skF_50' )
    | ~ ssList(cons('#skF_52','#skF_50')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_436,c_5671]) ).

tff(c_5708,plain,
    ~ ssList(cons('#skF_52','#skF_50')),
    inference(splitLeft,[status(thm)],[c_5692]) ).

tff(c_5711,plain,
    ( ~ ssItem('#skF_52')
    | ~ ssList('#skF_50') ),
    inference(resolution,[status(thm)],[c_166,c_5708]) ).

tff(c_5715,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_432,c_5711]) ).

tff(c_5716,plain,
    cons('#skF_52','#skF_50') = '#skF_50',
    inference(splitRight,[status(thm)],[c_5692]) ).

tff(c_182,plain,
    ! [V_887,U_885] :
      ( ( cons(V_887,U_885) != nil )
      | ~ ssItem(V_887)
      | ~ ssList(U_885) ),
    inference(cnfTransformation,[status(thm)],[f_364]) ).

tff(c_4638,plain,
    ! [V_887,U_885] :
      ( ( cons(V_887,U_885) != '#skF_50' )
      | ~ ssItem(V_887)
      | ~ ssList(U_885) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4216,c_182]) ).

tff(c_5786,plain,
    ( ~ ssItem('#skF_52')
    | ~ ssList('#skF_50') ),
    inference(superposition,[status(thm),theory(equality)],[c_5716,c_4638]) ).

tff(c_5817,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_432,c_5786]) ).

tff(c_5819,plain,
    nil != '#skF_50',
    inference(splitRight,[status(thm)],[c_940]) ).

tff(c_5818,plain,
    hd('#skF_50') = '#skF_46'('#skF_50'),
    inference(splitRight,[status(thm)],[c_940]) ).

tff(c_184,plain,
    ! [U_888] :
      ( ssItem(hd(U_888))
      | ( nil = U_888 )
      | ~ ssList(U_888) ),
    inference(cnfTransformation,[status(thm)],[f_371]) ).

tff(c_5824,plain,
    ( ssItem('#skF_46'('#skF_50'))
    | ( nil = '#skF_50' )
    | ~ ssList('#skF_50') ),
    inference(superposition,[status(thm),theory(equality)],[c_5818,c_184]) ).

tff(c_5828,plain,
    ( ssItem('#skF_46'('#skF_50'))
    | ( nil = '#skF_50' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_5824]) ).

tff(c_5829,plain,
    ssItem('#skF_46'('#skF_50')),
    inference(negUnitSimplification,[status(thm)],[c_5819,c_5828]) ).

tff(c_5963,plain,
    ! [U_1672] :
      ( ( tl(U_1672) = '#skF_47'(U_1672) )
      | ( nil = U_1672 )
      | ~ ssList(U_1672) ),
    inference(cnfTransformation,[status(thm)],[f_779]) ).

tff(c_6050,plain,
    ( ( tl('#skF_50') = '#skF_47'('#skF_50') )
    | ( nil = '#skF_50' ) ),
    inference(resolution,[status(thm)],[c_390,c_5963]) ).

tff(c_6086,plain,
    tl('#skF_50') = '#skF_47'('#skF_50'),
    inference(negUnitSimplification,[status(thm)],[c_5819,c_6050]) ).

tff(c_188,plain,
    ! [U_892] :
      ( ssList(tl(U_892))
      | ( nil = U_892 )
      | ~ ssList(U_892) ),
    inference(cnfTransformation,[status(thm)],[f_385]) ).

tff(c_6120,plain,
    ( ssList('#skF_47'('#skF_50'))
    | ( nil = '#skF_50' )
    | ~ ssList('#skF_50') ),
    inference(superposition,[status(thm),theory(equality)],[c_6086,c_188]) ).

tff(c_6124,plain,
    ( ssList('#skF_47'('#skF_50'))
    | ( nil = '#skF_50' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_6120]) ).

tff(c_6125,plain,
    ssList('#skF_47'('#skF_50')),
    inference(negUnitSimplification,[status(thm)],[c_5819,c_6124]) ).

tff(c_192,plain,
    ! [U_896,V_898] :
      ( ssList(app(U_896,V_898))
      | ~ ssList(V_898)
      | ~ ssList(U_896) ),
    inference(cnfTransformation,[status(thm)],[f_399]) ).

tff(c_384,plain,
    '#skF_48' = '#skF_50',
    inference(cnfTransformation,[status(thm)],[f_1042]) ).

tff(c_396,plain,
    ( ~ neq('#skF_48',nil)
    | ~ neq(nil,'#skF_48')
    | ~ ssItem(hd('#skF_48'))
    | ~ ssList(cons(hd('#skF_48'),nil))
    | ~ ssList(tl('#skF_48'))
    | ( app(tl('#skF_48'),cons(hd('#skF_48'),nil)) != '#skF_49' )
    | ~ ssList(app(tl('#skF_48'),cons(hd('#skF_48'),nil)))
    | ~ neq('#skF_51',nil) ),
    inference(cnfTransformation,[status(thm)],[f_1042]) ).

tff(c_427,plain,
    ( ~ neq('#skF_48',nil)
    | ~ neq(nil,'#skF_48')
    | ~ ssItem(hd('#skF_48'))
    | ~ ssList(cons(hd('#skF_48'),nil))
    | ~ ssList(tl('#skF_48'))
    | ( app(tl('#skF_48'),cons(hd('#skF_48'),nil)) != '#skF_51' )
    | ~ ssList(app(tl('#skF_48'),cons(hd('#skF_48'),nil)))
    | ~ neq('#skF_51',nil) ),
    inference(demodulation,[status(thm),theory(equality)],[c_386,c_396]) ).

tff(c_438,plain,
    ( ~ neq('#skF_48',nil)
    | ~ neq(nil,'#skF_48')
    | ~ ssItem(hd('#skF_48'))
    | ~ ssList(cons(hd('#skF_48'),nil))
    | ~ ssList(tl('#skF_48'))
    | ( app(tl('#skF_48'),cons(hd('#skF_48'),nil)) != '#skF_51' )
    | ~ ssList(app(tl('#skF_48'),cons(hd('#skF_48'),nil))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_426,c_427]) ).

tff(c_440,plain,
    ( ~ neq('#skF_50',nil)
    | ~ neq(nil,'#skF_50')
    | ~ ssItem(hd('#skF_50'))
    | ~ ssList(cons(hd('#skF_50'),nil))
    | ~ ssList(tl('#skF_50'))
    | ( app(tl('#skF_50'),cons(hd('#skF_50'),nil)) != '#skF_51' )
    | ~ ssList(app(tl('#skF_50'),cons(hd('#skF_50'),nil))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_384,c_384,c_384,c_384,c_384,c_384,c_384,c_384,c_384,c_438]) ).

tff(c_476,plain,
    ~ ssList(app(tl('#skF_50'),cons(hd('#skF_50'),nil))),
    inference(splitLeft,[status(thm)],[c_440]) ).

tff(c_5820,plain,
    ~ ssList(app(tl('#skF_50'),cons('#skF_46'('#skF_50'),nil))),
    inference(demodulation,[status(thm),theory(equality)],[c_5818,c_476]) ).

tff(c_6377,plain,
    ~ ssList(app('#skF_47'('#skF_50'),cons('#skF_46'('#skF_50'),nil))),
    inference(demodulation,[status(thm),theory(equality)],[c_6086,c_5820]) ).

tff(c_6380,plain,
    ( ~ ssList(cons('#skF_46'('#skF_50'),nil))
    | ~ ssList('#skF_47'('#skF_50')) ),
    inference(resolution,[status(thm)],[c_192,c_6377]) ).

tff(c_6383,plain,
    ~ ssList(cons('#skF_46'('#skF_50'),nil)),
    inference(demodulation,[status(thm),theory(equality)],[c_6125,c_6380]) ).

tff(c_6386,plain,
    ( ~ ssItem('#skF_46'('#skF_50'))
    | ~ ssList(nil) ),
    inference(resolution,[status(thm)],[c_166,c_6383]) ).

tff(c_6390,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_168,c_5829,c_6386]) ).

tff(c_6391,plain,
    ( ( app(tl('#skF_50'),cons(hd('#skF_50'),nil)) != '#skF_51' )
    | ~ ssList(tl('#skF_50'))
    | ~ ssList(cons(hd('#skF_50'),nil))
    | ~ ssItem(hd('#skF_50'))
    | ~ neq(nil,'#skF_50')
    | ~ neq('#skF_50',nil) ),
    inference(splitRight,[status(thm)],[c_440]) ).

tff(c_6523,plain,
    ~ neq('#skF_50',nil),
    inference(splitLeft,[status(thm)],[c_6391]) ).

tff(c_7331,plain,
    ~ neq('#skF_50','#skF_53'),
    inference(demodulation,[status(thm),theory(equality)],[c_7318,c_6523]) ).

tff(c_9605,plain,
    ( ( '#skF_53' = '#skF_50' )
    | ~ ssList('#skF_53')
    | ~ ssList('#skF_50') ),
    inference(resolution,[status(thm)],[c_9602,c_7331]) ).

tff(c_9616,plain,
    '#skF_53' = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_436,c_9605]) ).

tff(c_9618,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_9145,c_9616]) ).

tff(c_9620,plain,
    nil != '#skF_53',
    inference(splitRight,[status(thm)],[c_7193]) ).

tff(c_9632,plain,
    '#skF_53' != '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_9631,c_9620]) ).

tff(c_9666,plain,
    app(cons('#skF_52','#skF_50'),'#skF_53') = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_9631,c_430]) ).

tff(c_354,plain,
    ! [V_1079,U_1077] :
      ( ( nil = V_1079 )
      | ( app(U_1077,V_1079) != nil )
      | ~ ssList(V_1079)
      | ~ ssList(U_1077) ),
    inference(cnfTransformation,[status(thm)],[f_855]) ).

tff(c_11756,plain,
    ! [V_1919,U_1920] :
      ( ( V_1919 = '#skF_50' )
      | ( app(U_1920,V_1919) != '#skF_50' )
      | ~ ssList(V_1919)
      | ~ ssList(U_1920) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9631,c_9631,c_354]) ).

tff(c_11760,plain,
    ( ( '#skF_53' = '#skF_50' )
    | ~ ssList('#skF_53')
    | ~ ssList(cons('#skF_52','#skF_50')) ),
    inference(superposition,[status(thm),theory(equality)],[c_9666,c_11756]) ).

tff(c_11776,plain,
    ( ( '#skF_53' = '#skF_50' )
    | ~ ssList(cons('#skF_52','#skF_50')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_436,c_11760]) ).

tff(c_11777,plain,
    ~ ssList(cons('#skF_52','#skF_50')),
    inference(negUnitSimplification,[status(thm)],[c_9632,c_11776]) ).

tff(c_11796,plain,
    ( ~ ssItem('#skF_52')
    | ~ ssList('#skF_50') ),
    inference(resolution,[status(thm)],[c_166,c_11777]) ).

tff(c_11800,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_432,c_11796]) ).

tff(c_11802,plain,
    nil != '#skF_50',
    inference(splitRight,[status(thm)],[c_7317]) ).

tff(c_12116,plain,
    ! [U_1928,V_1929] :
      ( neq(U_1928,V_1929)
      | ( V_1929 = U_1928 )
      | ~ ssList(V_1929)
      | ~ ssList(U_1928) ),
    inference(cnfTransformation,[status(thm)],[f_311]) ).

tff(c_12119,plain,
    ( ( nil = '#skF_50' )
    | ~ ssList(nil)
    | ~ ssList('#skF_50') ),
    inference(resolution,[status(thm)],[c_12116,c_6523]) ).

tff(c_12130,plain,
    nil = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_168,c_12119]) ).

tff(c_12132,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_11802,c_12130]) ).

tff(c_12134,plain,
    neq('#skF_50',nil),
    inference(splitRight,[status(thm)],[c_6391]) ).

tff(c_35914,plain,
    neq('#skF_50','#skF_50'),
    inference(demodulation,[status(thm),theory(equality)],[c_35901,c_12134]) ).

tff(c_36074,plain,
    ~ ssList('#skF_50'),
    inference(resolution,[status(thm)],[c_35914,c_164]) ).

tff(c_36081,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_36074]) ).

tff(c_36083,plain,
    nil != '#skF_50',
    inference(splitRight,[status(thm)],[c_31529]) ).

tff(c_36170,plain,
    ! [U_2806] :
      ( ( hd(U_2806) = '#skF_46'(U_2806) )
      | ( nil = U_2806 )
      | ~ ssList(U_2806) ),
    inference(cnfTransformation,[status(thm)],[f_769]) ).

tff(c_36266,plain,
    ( ( hd('#skF_50') = '#skF_46'('#skF_50') )
    | ( nil = '#skF_50' ) ),
    inference(resolution,[status(thm)],[c_390,c_36170]) ).

tff(c_36305,plain,
    hd('#skF_50') = '#skF_46'('#skF_50'),
    inference(negUnitSimplification,[status(thm)],[c_36083,c_36266]) ).

tff(c_36319,plain,
    ( ssItem('#skF_46'('#skF_50'))
    | ( nil = '#skF_50' )
    | ~ ssList('#skF_50') ),
    inference(superposition,[status(thm),theory(equality)],[c_36305,c_184]) ).

tff(c_36323,plain,
    ( ssItem('#skF_46'('#skF_50'))
    | ( nil = '#skF_50' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_36319]) ).

tff(c_36324,plain,
    ssItem('#skF_46'('#skF_50')),
    inference(negUnitSimplification,[status(thm)],[c_36083,c_36323]) ).

tff(c_162,plain,
    ! [U_856,V_858] :
      ( neq(U_856,V_858)
      | ( V_858 = U_856 )
      | ~ ssList(V_858)
      | ~ ssList(U_856) ),
    inference(cnfTransformation,[status(thm)],[f_311]) ).

tff(c_36082,plain,
    tl('#skF_50') = '#skF_47'('#skF_50'),
    inference(splitRight,[status(thm)],[c_31529]) ).

tff(c_36088,plain,
    ( ssList('#skF_47'('#skF_50'))
    | ( nil = '#skF_50' )
    | ~ ssList('#skF_50') ),
    inference(superposition,[status(thm),theory(equality)],[c_36082,c_188]) ).

tff(c_36092,plain,
    ( ssList('#skF_47'('#skF_50'))
    | ( nil = '#skF_50' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_36088]) ).

tff(c_36093,plain,
    ssList('#skF_47'('#skF_50')),
    inference(negUnitSimplification,[status(thm)],[c_36083,c_36092]) ).

tff(c_12478,plain,
    ! [U_1965] :
      ( ( hd(U_1965) = '#skF_46'(U_1965) )
      | ( nil = U_1965 )
      | ~ ssList(U_1965) ),
    inference(cnfTransformation,[status(thm)],[f_769]) ).

tff(c_12591,plain,
    ( ( hd('#skF_50') = '#skF_46'('#skF_50') )
    | ( nil = '#skF_50' ) ),
    inference(resolution,[status(thm)],[c_390,c_12478]) ).

tff(c_12717,plain,
    nil = '#skF_50',
    inference(splitLeft,[status(thm)],[c_12591]) ).

tff(c_12731,plain,
    neq('#skF_50','#skF_50'),
    inference(demodulation,[status(thm),theory(equality)],[c_12717,c_12134]) ).

tff(c_12869,plain,
    ~ ssList('#skF_50'),
    inference(resolution,[status(thm)],[c_12731,c_164]) ).

tff(c_12876,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_12869]) ).

tff(c_12878,plain,
    nil != '#skF_50',
    inference(splitRight,[status(thm)],[c_12591]) ).

tff(c_12893,plain,
    ! [U_1973] :
      ( ( tl(U_1973) = '#skF_47'(U_1973) )
      | ( nil = U_1973 )
      | ~ ssList(U_1973) ),
    inference(cnfTransformation,[status(thm)],[f_779]) ).

tff(c_12974,plain,
    ( ( tl('#skF_50') = '#skF_47'('#skF_50') )
    | ( nil = '#skF_50' ) ),
    inference(resolution,[status(thm)],[c_390,c_12893]) ).

tff(c_13006,plain,
    tl('#skF_50') = '#skF_47'('#skF_50'),
    inference(negUnitSimplification,[status(thm)],[c_12878,c_12974]) ).

tff(c_30351,plain,
    ! [V_2611,U_2612] :
      ( ( app(cons(V_2611,nil),U_2612) = cons(V_2611,U_2612) )
      | ~ ssItem(V_2611)
      | ~ ssList(U_2612) ),
    inference(cnfTransformation,[status(thm)],[f_834]) ).

tff(c_30364,plain,
    ( ( cons('#skF_52','#skF_53') = '#skF_50' )
    | ~ ssItem('#skF_52')
    | ~ ssList('#skF_53') ),
    inference(superposition,[status(thm),theory(equality)],[c_30351,c_430]) ).

tff(c_30379,plain,
    cons('#skF_52','#skF_53') = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_436,c_432,c_30364]) ).

tff(c_190,plain,
    ! [V_895,U_893] :
      ( ( tl(cons(V_895,U_893)) = U_893 )
      | ~ ssItem(V_895)
      | ~ ssList(U_893) ),
    inference(cnfTransformation,[status(thm)],[f_392]) ).

tff(c_30391,plain,
    ( ( tl('#skF_50') = '#skF_53' )
    | ~ ssItem('#skF_52')
    | ~ ssList('#skF_53') ),
    inference(superposition,[status(thm),theory(equality)],[c_30379,c_190]) ).

tff(c_30407,plain,
    '#skF_47'('#skF_50') = '#skF_53',
    inference(demodulation,[status(thm),theory(equality)],[c_436,c_432,c_13006,c_30391]) ).

tff(c_12877,plain,
    hd('#skF_50') = '#skF_46'('#skF_50'),
    inference(splitRight,[status(thm)],[c_12591]) ).

tff(c_186,plain,
    ! [V_891,U_889] :
      ( ( hd(cons(V_891,U_889)) = V_891 )
      | ~ ssItem(V_891)
      | ~ ssList(U_889) ),
    inference(cnfTransformation,[status(thm)],[f_378]) ).

tff(c_30388,plain,
    ( ( hd('#skF_50') = '#skF_52' )
    | ~ ssItem('#skF_52')
    | ~ ssList('#skF_53') ),
    inference(superposition,[status(thm),theory(equality)],[c_30379,c_186]) ).

tff(c_30405,plain,
    '#skF_46'('#skF_50') = '#skF_52',
    inference(demodulation,[status(thm),theory(equality)],[c_436,c_432,c_12877,c_30388]) ).

tff(c_12133,plain,
    ( ~ neq(nil,'#skF_50')
    | ~ ssItem(hd('#skF_50'))
    | ~ ssList(cons(hd('#skF_50'),nil))
    | ~ ssList(tl('#skF_50'))
    | ( app(tl('#skF_50'),cons(hd('#skF_50'),nil)) != '#skF_51' ) ),
    inference(splitRight,[status(thm)],[c_6391]) ).

tff(c_12303,plain,
    app(tl('#skF_50'),cons(hd('#skF_50'),nil)) != '#skF_51',
    inference(splitLeft,[status(thm)],[c_12133]) ).

tff(c_12879,plain,
    app(tl('#skF_50'),cons('#skF_46'('#skF_50'),nil)) != '#skF_51',
    inference(demodulation,[status(thm),theory(equality)],[c_12877,c_12303]) ).

tff(c_26029,plain,
    app('#skF_47'('#skF_50'),cons('#skF_46'('#skF_50'),nil)) != '#skF_51',
    inference(demodulation,[status(thm),theory(equality)],[c_13006,c_12879]) ).

tff(c_30423,plain,
    app('#skF_47'('#skF_50'),cons('#skF_52',nil)) != '#skF_51',
    inference(demodulation,[status(thm),theory(equality)],[c_30405,c_26029]) ).

tff(c_31032,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_434,c_30407,c_30423]) ).

tff(c_31033,plain,
    ( ~ ssList(tl('#skF_50'))
    | ~ ssList(cons(hd('#skF_50'),nil))
    | ~ ssItem(hd('#skF_50'))
    | ~ neq(nil,'#skF_50') ),
    inference(splitRight,[status(thm)],[c_12133]) ).

tff(c_37877,plain,
    ( ~ ssList(cons('#skF_46'('#skF_50'),nil))
    | ~ neq(nil,'#skF_50') ),
    inference(demodulation,[status(thm),theory(equality)],[c_36324,c_36305,c_36305,c_36093,c_36082,c_31033]) ).

tff(c_37878,plain,
    ~ neq(nil,'#skF_50'),
    inference(splitLeft,[status(thm)],[c_37877]) ).

tff(c_37881,plain,
    ( ( nil = '#skF_50' )
    | ~ ssList('#skF_50')
    | ~ ssList(nil) ),
    inference(resolution,[status(thm)],[c_162,c_37878]) ).

tff(c_37887,plain,
    nil = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_168,c_390,c_37881]) ).

tff(c_37889,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_36083,c_37887]) ).

tff(c_37890,plain,
    ~ ssList(cons('#skF_46'('#skF_50'),nil)),
    inference(splitRight,[status(thm)],[c_37877]) ).

tff(c_37894,plain,
    ( ~ ssItem('#skF_46'('#skF_50'))
    | ~ ssList(nil) ),
    inference(resolution,[status(thm)],[c_166,c_37890]) ).

tff(c_37898,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_168,c_36324,c_37894]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC316+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.35  % Computer : n013.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Thu Aug  3 21:35:18 EDT 2023
% 0.16/0.35  % CPUTime  : 
% 18.62/6.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.62/6.53  
% 18.62/6.53  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.62/6.58  
% 18.62/6.58  Inference rules
% 18.62/6.58  ----------------------
% 18.62/6.58  #Ref     : 0
% 18.62/6.58  #Sup     : 8364
% 18.62/6.58  #Fact    : 0
% 18.62/6.58  #Define  : 0
% 18.62/6.58  #Split   : 197
% 18.62/6.58  #Chain   : 0
% 18.62/6.58  #Close   : 0
% 18.62/6.58  
% 18.62/6.58  Ordering : KBO
% 18.62/6.58  
% 18.62/6.58  Simplification rules
% 18.62/6.58  ----------------------
% 18.62/6.58  #Subsume      : 894
% 18.62/6.58  #Demod        : 5588
% 18.62/6.58  #Tautology    : 2926
% 18.62/6.58  #SimpNegUnit  : 456
% 18.62/6.58  #BackRed      : 1013
% 18.62/6.58  
% 18.62/6.58  #Partial instantiations: 0
% 18.62/6.58  #Strategies tried      : 1
% 18.62/6.58  
% 18.62/6.58  Timing (in seconds)
% 18.62/6.58  ----------------------
% 18.62/6.58  Preprocessing        : 0.88
% 18.62/6.58  Parsing              : 0.40
% 18.62/6.58  CNF conversion       : 0.11
% 18.62/6.58  Main loop            : 4.66
% 18.62/6.58  Inferencing          : 1.52
% 18.62/6.58  Reduction            : 1.59
% 18.62/6.58  Demodulation         : 1.13
% 18.62/6.58  BG Simplification    : 0.14
% 18.62/6.58  Subsumption          : 0.99
% 18.62/6.58  Abstraction          : 0.12
% 18.62/6.58  MUC search           : 0.00
% 18.62/6.58  Cooper               : 0.00
% 18.62/6.58  Total                : 5.62
% 18.62/6.58  Index Insertion      : 0.00
% 18.62/6.58  Index Deletion       : 0.00
% 18.62/6.58  Index Matching       : 0.00
% 18.62/6.58  BG Taut test         : 0.00
%------------------------------------------------------------------------------