TSTP Solution File: PUZ135_1 by E---3.1

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%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : PUZ135_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n025.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:12:09 EDT 2023

% Result   : Theorem 0.17s 0.47s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  104 (  29 unt;  14 typ;   0 def)
%            Number of atoms       :  209 ( 208 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  232 ( 113   ~;  91   |;  22   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   4 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-1 aty)
%            Number of variables   :   45 (   0 sgn;  45   !;   0   ?;  45   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    entry_of: knowheyan > entry ).

tff(decl_23,type,
    place_of: knowheyan > place ).

tff(decl_24,type,
    a: knowheyan ).

tff(decl_25,type,
    b: knowheyan ).

tff(decl_26,type,
    c: knowheyan ).

tff(decl_27,type,
    d: knowheyan ).

tff(decl_28,type,
    collage_painting: entry ).

tff(decl_29,type,
    holography: entry ).

tff(decl_30,type,
    laser_etching: entry ).

tff(decl_31,type,
    reconstituted_materials_sculpture: entry ).

tff(decl_32,type,
    first: place ).

tff(decl_33,type,
    second: place ).

tff(decl_34,type,
    third: place ).

tff(decl_35,type,
    fourth: place ).

tff(laser_etching_info,axiom,
    ( ( entry_of(b) != laser_etching )
    & ! [X1: knowheyan] :
        ( ( entry_of(X1) = laser_etching )
       => ( ( X1 != a )
          & ( place_of(X1) != second ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',laser_etching_info) ).

tff(only_entries,axiom,
    ! [X2: entry] :
      ( ( X2 = collage_painting )
      | ( X2 = holography )
      | ( X2 = laser_etching )
      | ( X2 = reconstituted_materials_sculpture ) ),
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',only_entries) ).

tff(collage_info,axiom,
    ! [X1: knowheyan] :
      ( ( entry_of(X1) = collage_painting )
     => ( ( X1 != a )
        & ( X1 != c )
        & ( place_of(X1) != first )
        & ( place_of(X1) != second ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',collage_info) ).

tff(entries,conjecture,
    ( ( entry_of(a) = reconstituted_materials_sculpture )
    & ( entry_of(b) = holography )
    & ( entry_of(c) = laser_etching )
    & ( entry_of(d) = collage_painting ) ),
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',entries) ).

tff(unique_entrys,axiom,
    ! [X1: knowheyan,X4: knowheyan] :
      ( ( X1 != X4 )
     => ( entry_of(X1) != entry_of(X4) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',unique_entrys) ).

tff(a_info,axiom,
    ( ( place_of(a) != first )
    & ( entry_of(a) != holography ) ),
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',a_info) ).

tff(fourth_info,axiom,
    ! [X1: knowheyan] :
      ( ( place_of(X1) = fourth )
     => ( ( entry_of(X1) != reconstituted_materials_sculpture )
        & ( entry_of(X1) != holography ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',fourth_info) ).

tff(fourth_info2,axiom,
    ( ( place_of(b) != fourth )
    & ! [X1: knowheyan] :
        ( ( entry_of(X1) = laser_etching )
       => ( place_of(X1) != fourth ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',fourth_info2) ).

tff(a_not_b,axiom,
    a != b,
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',a_not_b) ).

tff(only_places,axiom,
    ! [X3: place] :
      ( ( X3 = first )
      | ( X3 = second )
      | ( X3 = third )
      | ( X3 = fourth ) ),
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',only_places) ).

tff(a_not_c,axiom,
    a != c,
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',a_not_c) ).

tff(third_info,axiom,
    ( ( place_of(b) != third )
    & ( place_of(c) != third ) ),
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',third_info) ).

tff(b_not_c,axiom,
    b != c,
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',b_not_c) ).

tff(unique_places,axiom,
    ! [X1: knowheyan,X4: knowheyan] :
      ( ( X1 != X4 )
     => ( place_of(X1) != place_of(X4) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',unique_places) ).

tff(collage_painting_not_holography,axiom,
    collage_painting != holography,
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',collage_painting_not_holography) ).

tff(a_not_d,axiom,
    a != d,
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',a_not_d) ).

tff(b_not_d,axiom,
    b != d,
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',b_not_d) ).

tff(c_not_d,axiom,
    c != d,
    file('/export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p',c_not_d) ).

tff(c_0_18,plain,
    ! [X15: knowheyan] :
      ( ( entry_of(b) != laser_etching )
      & ( ( X15 != a )
        | ( entry_of(X15) != laser_etching ) )
      & ( ( place_of(X15) != second )
        | ( entry_of(X15) != laser_etching ) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[laser_etching_info])])])]) ).

tff(c_0_19,plain,
    ! [X6: entry] :
      ( ( X6 = collage_painting )
      | ( X6 = holography )
      | ( X6 = laser_etching )
      | ( X6 = reconstituted_materials_sculpture ) ),
    inference(variable_rename,[status(thm)],[only_entries]) ).

tff(c_0_20,plain,
    ! [X13: knowheyan] :
      ( ( ( X13 != a )
        | ( entry_of(X13) != collage_painting ) )
      & ( ( X13 != c )
        | ( entry_of(X13) != collage_painting ) )
      & ( ( place_of(X13) != first )
        | ( entry_of(X13) != collage_painting ) )
      & ( ( place_of(X13) != second )
        | ( entry_of(X13) != collage_painting ) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[collage_info])])]) ).

tcf(c_0_21,plain,
    ! [X1: knowheyan] :
      ( ( X1 != a )
      | ( entry_of(X1) != laser_etching ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

tcf(c_0_22,plain,
    ! [X2: entry] :
      ( ( X2 = collage_painting )
      | ( X2 = holography )
      | ( X2 = laser_etching )
      | ( X2 = reconstituted_materials_sculpture ) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

tcf(c_0_23,plain,
    ! [X1: knowheyan] :
      ( ( X1 != a )
      | ( entry_of(X1) != collage_painting ) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

tff(c_0_24,negated_conjecture,
    ~ ( ( entry_of(a) = reconstituted_materials_sculpture )
      & ( entry_of(b) = holography )
      & ( entry_of(c) = laser_etching )
      & ( entry_of(d) = collage_painting ) ),
    inference(assume_negation,[status(cth)],[entries]) ).

tff(c_0_25,plain,
    ! [X8: knowheyan,X9: knowheyan] :
      ( ( X8 = X9 )
      | ( entry_of(X8) != entry_of(X9) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique_entrys])]) ).

tcf(c_0_26,plain,
    entry_of(a) != laser_etching,
    inference(er,[status(thm)],[c_0_21]) ).

tcf(c_0_27,plain,
    ! [X6: entry,X2: entry] :
      ( ( X2 = laser_etching )
      | ( X2 = holography )
      | ( X2 = collage_painting )
      | ( X6 = laser_etching )
      | ( X6 = holography )
      | ( X6 = collage_painting )
      | ( X6 = X2 ) ),
    inference(spm,[status(thm)],[c_0_22,c_0_22]) ).

tcf(c_0_28,plain,
    entry_of(a) != holography,
    inference(split_conjunct,[status(thm)],[a_info]) ).

tcf(c_0_29,plain,
    entry_of(a) != collage_painting,
    inference(er,[status(thm)],[c_0_23]) ).

tff(c_0_30,negated_conjecture,
    ( ( entry_of(a) != reconstituted_materials_sculpture )
    | ( entry_of(b) != holography )
    | ( entry_of(c) != laser_etching )
    | ( entry_of(d) != collage_painting ) ),
    inference(fof_nnf,[status(thm)],[c_0_24]) ).

tff(c_0_31,plain,
    ! [X12: knowheyan] :
      ( ( ( entry_of(X12) != reconstituted_materials_sculpture )
        | ( place_of(X12) != fourth ) )
      & ( ( entry_of(X12) != holography )
        | ( place_of(X12) != fourth ) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fourth_info])])]) ).

tff(c_0_32,plain,
    ! [X14: knowheyan] :
      ( ( place_of(b) != fourth )
      & ( ( entry_of(X14) != laser_etching )
        | ( place_of(X14) != fourth ) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fourth_info2])])]) ).

tcf(c_0_33,plain,
    ! [X1: knowheyan,X4: knowheyan] :
      ( ( X1 = X4 )
      | ( entry_of(X1) != entry_of(X4) ) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

tcf(c_0_34,plain,
    ! [X2: entry] :
      ( ( entry_of(a) = X2 )
      | ( X2 = collage_painting )
      | ( X2 = holography )
      | ( X2 = laser_etching ) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]) ).

tcf(c_0_35,negated_conjecture,
    ( ( entry_of(a) != reconstituted_materials_sculpture )
    | ( entry_of(b) != holography )
    | ( entry_of(c) != laser_etching )
    | ( entry_of(d) != collage_painting ) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

tcf(c_0_36,plain,
    ! [X1: knowheyan] :
      ( ( entry_of(X1) != reconstituted_materials_sculpture )
      | ( place_of(X1) != fourth ) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

tcf(c_0_37,plain,
    ! [X1: knowheyan] :
      ( ( entry_of(X1) != laser_etching )
      | ( place_of(X1) != fourth ) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

tcf(c_0_38,plain,
    ! [X1: knowheyan] :
      ( ( entry_of(X1) != holography )
      | ( place_of(X1) != fourth ) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

tcf(c_0_39,plain,
    entry_of(b) != laser_etching,
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

tcf(c_0_40,plain,
    ! [X1: knowheyan] :
      ( ( entry_of(X1) = laser_etching )
      | ( entry_of(X1) = holography )
      | ( entry_of(X1) = collage_painting )
      | ( a = X1 ) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34])]) ).

tcf(c_0_41,plain,
    a != b,
    inference(split_conjunct,[status(thm)],[a_not_b]) ).

tcf(c_0_42,negated_conjecture,
    ( ( entry_of(b) != holography )
    | ( entry_of(c) != laser_etching )
    | ( entry_of(d) != collage_painting ) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_22]),c_0_29]),c_0_28]),c_0_26]) ).

tcf(c_0_43,plain,
    ! [X1: knowheyan] :
      ( ( entry_of(X1) = collage_painting )
      | ( place_of(X1) != fourth ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_22]),c_0_37]),c_0_38]) ).

tcf(c_0_44,plain,
    ! [X1: knowheyan] :
      ( ( X1 != c )
      | ( entry_of(X1) != collage_painting ) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

tff(c_0_45,plain,
    ! [X7: place] :
      ( ( X7 = first )
      | ( X7 = second )
      | ( X7 = third )
      | ( X7 = fourth ) ),
    inference(variable_rename,[status(thm)],[only_places]) ).

tcf(c_0_46,plain,
    ( ( entry_of(b) = collage_painting )
    | ( entry_of(b) = holography ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

tcf(c_0_47,negated_conjecture,
    ( ( entry_of(b) != holography )
    | ( entry_of(c) != laser_etching )
    | ( place_of(d) != fourth ) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

tcf(c_0_48,plain,
    entry_of(c) != collage_painting,
    inference(er,[status(thm)],[c_0_44]) ).

tcf(c_0_49,plain,
    a != c,
    inference(split_conjunct,[status(thm)],[a_not_c]) ).

tcf(c_0_50,plain,
    ! [X1: knowheyan] :
      ( ( place_of(X1) != second )
      | ( entry_of(X1) != laser_etching ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

tcf(c_0_51,plain,
    ! [X1: knowheyan] :
      ( ( place_of(X1) != second )
      | ( entry_of(X1) != collage_painting ) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

tcf(c_0_52,plain,
    place_of(b) != fourth,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

tcf(c_0_53,plain,
    ! [X3: place] :
      ( ( X3 = first )
      | ( X3 = second )
      | ( X3 = third )
      | ( X3 = fourth ) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

tcf(c_0_54,plain,
    place_of(b) != third,
    inference(split_conjunct,[status(thm)],[third_info]) ).

tcf(c_0_55,plain,
    ! [X1: knowheyan] :
      ( ( entry_of(b) = collage_painting )
      | ( b = X1 )
      | ( entry_of(X1) != holography ) ),
    inference(spm,[status(thm)],[c_0_33,c_0_46]) ).

tcf(c_0_56,negated_conjecture,
    ( ( entry_of(c) = holography )
    | ( entry_of(b) != holography )
    | ( place_of(d) != fourth ) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_40]),c_0_48]),c_0_49]) ).

tcf(c_0_57,plain,
    b != c,
    inference(split_conjunct,[status(thm)],[b_not_c]) ).

tcf(c_0_58,plain,
    ! [X1: knowheyan] :
      ( ( entry_of(X1) = holography )
      | ( a = X1 )
      | ( place_of(X1) != second ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_40]),c_0_51]) ).

tcf(c_0_59,plain,
    ( ( place_of(b) = second )
    | ( place_of(b) = first ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).

tcf(c_0_60,plain,
    ! [X1: knowheyan] :
      ( ( place_of(X1) != first )
      | ( entry_of(X1) != collage_painting ) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

tcf(c_0_61,negated_conjecture,
    ( ( entry_of(b) = collage_painting )
    | ( place_of(d) != fourth ) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_46]) ).

tcf(c_0_62,plain,
    place_of(c) != fourth,
    inference(spm,[status(thm)],[c_0_48,c_0_43]) ).

tcf(c_0_63,plain,
    place_of(c) != third,
    inference(split_conjunct,[status(thm)],[third_info]) ).

tff(c_0_64,plain,
    ! [X10: knowheyan,X11: knowheyan] :
      ( ( X10 = X11 )
      | ( place_of(X10) != place_of(X11) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique_places])]) ).

tcf(c_0_65,plain,
    place_of(a) != fourth,
    inference(spm,[status(thm)],[c_0_29,c_0_43]) ).

tcf(c_0_66,plain,
    place_of(a) != first,
    inference(split_conjunct,[status(thm)],[a_info]) ).

tcf(c_0_67,plain,
    ( ( place_of(b) = first )
    | ( entry_of(b) = holography ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_41]) ).

tcf(c_0_68,plain,
    collage_painting != holography,
    inference(split_conjunct,[status(thm)],[collage_painting_not_holography]) ).

tcf(c_0_69,negated_conjecture,
    ( ( place_of(b) != first )
    | ( place_of(d) != fourth ) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

tcf(c_0_70,plain,
    ( ( place_of(c) = second )
    | ( place_of(c) = first ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_53]),c_0_63]) ).

tcf(c_0_71,plain,
    ! [X1: knowheyan,X4: knowheyan] :
      ( ( X1 = X4 )
      | ( place_of(X1) != place_of(X4) ) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

tcf(c_0_72,plain,
    ( ( place_of(a) = third )
    | ( place_of(a) = second ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_53]),c_0_66]) ).

tcf(c_0_73,negated_conjecture,
    place_of(d) != fourth,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_67]),c_0_68]),c_0_69]) ).

tcf(c_0_74,plain,
    ( ( place_of(c) = first )
    | ( entry_of(c) = holography ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_70]),c_0_49]) ).

tcf(c_0_75,plain,
    ! [X1: knowheyan] :
      ( ( place_of(b) = first )
      | ( X1 = b )
      | ( place_of(X1) != second ) ),
    inference(spm,[status(thm)],[c_0_71,c_0_59]) ).

tcf(c_0_76,plain,
    ! [X1: knowheyan] :
      ( ( place_of(a) = second )
      | ( a = X1 )
      | ( place_of(X1) != third ) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

tcf(c_0_77,negated_conjecture,
    ( ( place_of(d) = third )
    | ( place_of(d) = second )
    | ( place_of(d) = first ) ),
    inference(spm,[status(thm)],[c_0_73,c_0_53]) ).

tcf(c_0_78,plain,
    a != d,
    inference(split_conjunct,[status(thm)],[a_not_d]) ).

tcf(c_0_79,plain,
    ( ( place_of(c) = first )
    | ( entry_of(b) = collage_painting ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_74]),c_0_57]) ).

tcf(c_0_80,plain,
    ( ( place_of(c) = first )
    | ( place_of(b) = first ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_70]),c_0_57]) ).

tcf(c_0_81,negated_conjecture,
    ( ( place_of(d) = first )
    | ( place_of(d) = second )
    | ( place_of(a) = second ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).

tcf(c_0_82,plain,
    place_of(c) = first,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_79]),c_0_80]) ).

tcf(c_0_83,negated_conjecture,
    ( ( place_of(d) = second )
    | ( place_of(d) = first )
    | ( place_of(b) = first ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_81]),c_0_41]) ).

tcf(c_0_84,plain,
    b != d,
    inference(split_conjunct,[status(thm)],[b_not_d]) ).

tcf(c_0_85,plain,
    ! [X1: knowheyan] :
      ( ( c = X1 )
      | ( place_of(X1) != first ) ),
    inference(spm,[status(thm)],[c_0_71,c_0_82]) ).

tcf(c_0_86,negated_conjecture,
    ( ( place_of(d) = first )
    | ( place_of(b) = first ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_83]),c_0_84]) ).

tcf(c_0_87,plain,
    c != d,
    inference(split_conjunct,[status(thm)],[c_not_d]) ).

tcf(c_0_88,negated_conjecture,
    place_of(b) = first,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).

cnf(c_0_89,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_88]),c_0_57]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : PUZ135_1 : TPTP v8.1.2. Released v5.1.0.
% 0.00/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n025.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Oct  2 19:14:36 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.nimMM9Q38Z/E---3.1_9814.p
% 0.17/0.47  # Version: 3.1pre001
% 0.17/0.47  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.47  # Starting sh5l with 300s (1) cores
% 0.17/0.47  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 9923 completed with status 0
% 0.17/0.47  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.17/0.47  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.47  # No SInE strategy applied
% 0.17/0.47  # Search class: FGHPF-FFMF11-SFFFFFNN
% 0.17/0.47  # partial match(1): FGHNF-FFMF11-SFFFFFNN
% 0.17/0.47  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.47  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 811s (1) cores
% 0.17/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.17/0.47  # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.47  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.17/0.47  # Starting new_bool_3 with 136s (1) cores
% 0.17/0.47  # G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 9930 completed with status 0
% 0.17/0.47  # Result found by G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.47  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.47  # No SInE strategy applied
% 0.17/0.47  # Search class: FGHPF-FFMF11-SFFFFFNN
% 0.17/0.47  # partial match(1): FGHNF-FFMF11-SFFFFFNN
% 0.17/0.47  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.47  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 811s (1) cores
% 0.17/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.17/0.47  # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.47  # Preprocessing time       : 0.001 s
% 0.17/0.47  # Presaturation interreduction done
% 0.17/0.47  
% 0.17/0.47  # Proof found!
% 0.17/0.47  # SZS status Theorem
% 0.17/0.47  # SZS output start CNFRefutation
% See solution above
% 0.17/0.48  # Parsed axioms                        : 47
% 0.17/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.48  # Initial clauses                      : 56
% 0.17/0.48  # Removed in clause preprocessing      : 17
% 0.17/0.48  # Initial clauses in saturation        : 39
% 0.17/0.48  # Processed clauses                    : 382
% 0.17/0.48  # ...of these trivial                  : 0
% 0.17/0.48  # ...subsumed                          : 246
% 0.17/0.48  # ...remaining for further processing  : 136
% 0.17/0.48  # Other redundant clauses eliminated   : 70
% 0.17/0.48  # Clauses deleted for lack of memory   : 0
% 0.17/0.48  # Backward-subsumed                    : 15
% 0.17/0.48  # Backward-rewritten                   : 13
% 0.17/0.48  # Generated clauses                    : 1555
% 0.17/0.48  # ...of the previous two non-redundant : 912
% 0.17/0.48  # ...aggressively subsumed             : 0
% 0.17/0.48  # Contextual simplify-reflections      : 6
% 0.17/0.48  # Paramodulations                      : 1032
% 0.17/0.48  # Factorizations                       : 451
% 0.17/0.48  # NegExts                              : 0
% 0.17/0.48  # Equation resolutions                 : 72
% 0.17/0.48  # Total rewrite steps                  : 52
% 0.17/0.48  # Propositional unsat checks           : 0
% 0.17/0.48  #    Propositional check models        : 0
% 0.17/0.48  #    Propositional check unsatisfiable : 0
% 0.17/0.48  #    Propositional clauses             : 0
% 0.17/0.48  #    Propositional clauses after purity: 0
% 0.17/0.48  #    Propositional unsat core size     : 0
% 0.17/0.48  #    Propositional preprocessing time  : 0.000
% 0.17/0.48  #    Propositional encoding time       : 0.000
% 0.17/0.48  #    Propositional solver time         : 0.000
% 0.17/0.48  #    Success case prop preproc time    : 0.000
% 0.17/0.48  #    Success case prop encoding time   : 0.000
% 0.17/0.48  #    Success case prop solver time     : 0.000
% 0.17/0.48  # Current number of processed clauses  : 66
% 0.17/0.48  #    Positive orientable unit clauses  : 2
% 0.17/0.48  #    Positive unorientable unit clauses: 0
% 0.17/0.48  #    Negative unit clauses             : 26
% 0.17/0.48  #    Non-unit-clauses                  : 38
% 0.17/0.48  # Current number of unprocessed clauses: 579
% 0.17/0.48  # ...number of literals in the above   : 5342
% 0.17/0.48  # Current number of archived formulas  : 0
% 0.17/0.48  # Current number of archived clauses   : 67
% 0.17/0.48  # Clause-clause subsumption calls (NU) : 1472
% 0.17/0.48  # Rec. Clause-clause subsumption calls : 514
% 0.17/0.48  # Non-unit clause-clause subsumptions  : 76
% 0.17/0.48  # Unit Clause-clause subsumption calls : 70
% 0.17/0.48  # Rewrite failures with RHS unbound    : 0
% 0.17/0.48  # BW rewrite match attempts            : 2
% 0.17/0.48  # BW rewrite match successes           : 2
% 0.17/0.48  # Condensation attempts                : 0
% 0.17/0.48  # Condensation successes               : 0
% 0.17/0.48  # Termbank termtop insertions          : 7592
% 0.17/0.48  
% 0.17/0.48  # -------------------------------------------------
% 0.17/0.48  # User time                : 0.028 s
% 0.17/0.48  # System time              : 0.005 s
% 0.17/0.48  # Total time               : 0.033 s
% 0.17/0.48  # Maximum resident set size: 1784 pages
% 0.17/0.48  
% 0.17/0.48  # -------------------------------------------------
% 0.17/0.48  # User time                : 0.152 s
% 0.17/0.48  # System time              : 0.010 s
% 0.17/0.48  # Total time               : 0.162 s
% 0.17/0.48  # Maximum resident set size: 1720 pages
% 0.17/0.48  % E---3.1 exiting
% 0.17/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------