TSTP Solution File: GEO658+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO658+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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  : 600s
% DateTime : Sat Jul 16 03:46:49 EDT 2022

% Result   : Theorem 10.34s 2.73s
% Output   : CNFRefutation 10.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   87 (  22 unt;   0 def)
%            Number of atoms       :  213 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  195 (  69   ~;  66   |;  40   &)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :  335 (  28 sgn 182   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE02316,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X14,X19] :
      ( ( para(X1,X2,X3,X4)
        & para(X1,X3,X2,X4)
        & coll(X5,X1,X3)
        & perp(X6,X5,X3,X4)
        & coll(X6,X3,X4)
        & perp(X13,X5,X2,X3)
        & coll(X13,X2,X3)
        & coll(X14,X5,X13)
        & coll(X14,X1,X4)
        & coll(X19,X5,X6)
        & coll(X19,X1,X2) )
     => para(X13,X6,X14,X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02316) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

fof(ruleD6,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( para(X1,X2,X3,X4)
        & para(X3,X4,X5,X6) )
     => para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

fof(ruleD19,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

fof(ruleD40,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( para(X1,X2,X3,X4)
     => eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

fof(ruleD39,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

fof(ruleD42b,axiom,
    ! [X1,X2,X9,X10] :
      ( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
        & coll(X9,X10,X2) )
     => cyclic(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

fof(ruleD15,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

fof(ruleD14,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).

fof(ruleD16,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).

fof(ruleD43,axiom,
    ! [X1,X2,X3,X9,X10,X15] :
      ( ( cyclic(X1,X2,X3,X9)
        & cyclic(X1,X2,X3,X10)
        & cyclic(X1,X2,X3,X15)
        & eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
     => cong(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

fof(ruleD17,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( ( cyclic(X1,X2,X3,X4)
        & cyclic(X1,X2,X3,X5) )
     => cyclic(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

fof(ruleD67,axiom,
    ! [X1,X2,X3] :
      ( ( cong(X1,X2,X1,X3)
        & coll(X1,X2,X3) )
     => midp(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

fof(ruleD44,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X5,X1,X2)
        & midp(X6,X1,X3) )
     => para(X5,X6,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).

fof(c_0_19,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19] :
        ( ( para(X1,X2,X3,X4)
          & para(X1,X3,X2,X4)
          & coll(X5,X1,X3)
          & perp(X6,X5,X3,X4)
          & coll(X6,X3,X4)
          & perp(X13,X5,X2,X3)
          & coll(X13,X2,X3)
          & coll(X14,X5,X13)
          & coll(X14,X1,X4)
          & coll(X19,X5,X6)
          & coll(X19,X1,X2) )
       => para(X13,X6,X14,X19) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE02316]) ).

fof(c_0_20,plain,
    ! [X30,X31,X32,X33] :
      ( ~ para(X30,X31,X32,X33)
      | para(X30,X31,X33,X32) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

fof(c_0_21,negated_conjecture,
    ( para(esk21_0,esk22_0,esk23_0,esk24_0)
    & para(esk21_0,esk23_0,esk22_0,esk24_0)
    & coll(esk25_0,esk21_0,esk23_0)
    & perp(esk26_0,esk25_0,esk23_0,esk24_0)
    & coll(esk26_0,esk23_0,esk24_0)
    & perp(esk27_0,esk25_0,esk22_0,esk23_0)
    & coll(esk27_0,esk22_0,esk23_0)
    & coll(esk28_0,esk25_0,esk27_0)
    & coll(esk28_0,esk21_0,esk24_0)
    & coll(esk29_0,esk25_0,esk26_0)
    & coll(esk29_0,esk21_0,esk22_0)
    & ~ para(esk27_0,esk26_0,esk28_0,esk29_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).

fof(c_0_22,plain,
    ! [X38,X39,X40,X41,X42,X43] :
      ( ~ para(X38,X39,X40,X41)
      | ~ para(X40,X41,X42,X43)
      | para(X38,X39,X42,X43) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).

fof(c_0_23,plain,
    ! [X34,X35,X36,X37] :
      ( ~ para(X34,X35,X36,X37)
      | para(X36,X37,X34,X35) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_24,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    para(esk21_0,esk22_0,esk23_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_26,plain,
    ! [X101,X102,X103,X104,X105,X106,X107,X108] :
      ( ~ eqangle(X101,X102,X103,X104,X105,X106,X107,X108)
      | eqangle(X103,X104,X101,X102,X107,X108,X105,X106) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_27,plain,
    ! [X255,X256,X257,X258,X259,X260] :
      ( ~ para(X255,X256,X257,X258)
      | eqangle(X255,X256,X259,X260,X257,X258,X259,X260) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

cnf(c_0_28,plain,
    ( para(X1,X2,X5,X6)
    | ~ para(X1,X2,X3,X4)
    | ~ para(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    ( para(X3,X4,X1,X2)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_30,negated_conjecture,
    para(esk21_0,esk22_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

fof(c_0_31,plain,
    ! [X249,X250,X251,X252,X253,X254] :
      ( ~ eqangle(X249,X250,X253,X254,X251,X252,X253,X254)
      | para(X249,X250,X251,X252) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

cnf(c_0_32,plain,
    ( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_33,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,negated_conjecture,
    ( para(X1,X2,esk23_0,esk24_0)
    | ~ para(X1,X2,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_28,c_0_25]) ).

cnf(c_0_35,negated_conjecture,
    para(esk24_0,esk23_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_36,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_37,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_38,negated_conjecture,
    para(esk24_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

fof(c_0_39,plain,
    ! [X384,X385,X386] :
      ( ~ para(X384,X385,X384,X386)
      | coll(X384,X385,X386) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_40,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    para(esk24_0,esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_24,c_0_38]) ).

fof(c_0_42,plain,
    ! [X23,X24,X25] :
      ( ~ coll(X23,X24,X25)
      | coll(X24,X23,X25) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_43,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

fof(c_0_45,plain,
    ! [X269,X270,X271,X272] :
      ( ~ eqangle(X271,X269,X271,X270,X272,X269,X272,X270)
      | ~ coll(X271,X272,X270)
      | cyclic(X269,X270,X271,X272) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

fof(c_0_46,plain,
    ! [X20,X21,X22] :
      ( ~ coll(X20,X21,X22)
      | coll(X20,X22,X21) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_47,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_49,plain,
    ( cyclic(X2,X3,X1,X4)
    | ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ coll(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_50,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

fof(c_0_52,plain,
    ! [X80,X81,X82,X83] :
      ( ~ cyclic(X80,X81,X82,X83)
      | cyclic(X80,X82,X81,X83) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_53,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_33]) ).

cnf(c_0_54,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

fof(c_0_55,plain,
    ! [X76,X77,X78,X79] :
      ( ~ cyclic(X76,X77,X78,X79)
      | cyclic(X76,X77,X79,X78) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_56,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_57,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_44])]),c_0_54])]) ).

fof(c_0_58,plain,
    ! [X84,X85,X86,X87] :
      ( ~ cyclic(X84,X85,X86,X87)
      | cyclic(X85,X84,X86,X87) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_59,plain,
    ( cyclic(X1,X2,X4,X3)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_60,plain,
    cyclic(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

fof(c_0_61,plain,
    ! [X273,X274,X275,X276,X277,X278] :
      ( ~ cyclic(X273,X274,X275,X276)
      | ~ cyclic(X273,X274,X275,X277)
      | ~ cyclic(X273,X274,X275,X278)
      | ~ eqangle(X275,X273,X275,X274,X278,X276,X278,X277)
      | cong(X273,X274,X276,X277) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).

fof(c_0_62,plain,
    ! [X88,X89,X90,X91,X92] :
      ( ~ cyclic(X88,X89,X90,X91)
      | ~ cyclic(X88,X89,X90,X92)
      | cyclic(X89,X90,X91,X92) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

cnf(c_0_63,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_64,plain,
    cyclic(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

fof(c_0_65,plain,
    ! [X26,X27,X28,X29] :
      ( ~ coll(X26,X27,X28)
      | ~ coll(X26,X27,X29)
      | coll(X28,X29,X26) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_66,plain,
    ( cong(X1,X2,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5)
    | ~ cyclic(X1,X2,X3,X6)
    | ~ eqangle(X3,X1,X3,X2,X6,X4,X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_67,plain,
    ( cyclic(X2,X3,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_68,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

fof(c_0_69,plain,
    ! [X387,X388,X389] :
      ( ~ cong(X387,X388,X387,X389)
      | ~ coll(X387,X388,X389)
      | midp(X387,X388,X389) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_70,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_71,plain,
    ( cong(X1,X2,X3,X2)
    | ~ cyclic(X1,X2,X4,X4)
    | ~ cyclic(X1,X2,X4,X2)
    | ~ cyclic(X1,X2,X4,X3)
    | ~ para(X4,X1,X4,X3) ),
    inference(spm,[status(thm)],[c_0_66,c_0_33]) ).

cnf(c_0_72,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_68])]) ).

cnf(c_0_73,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_74,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_54]),c_0_54])]) ).

cnf(c_0_75,plain,
    ( cong(X1,X2,X3,X2)
    | ~ para(X4,X1,X4,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_57])]),c_0_72]),c_0_72])]) ).

fof(c_0_76,plain,
    ! [X279,X280,X281,X282,X283] :
      ( ~ midp(X282,X279,X280)
      | ~ midp(X283,X279,X281)
      | para(X282,X283,X280,X281) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).

cnf(c_0_77,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).

cnf(c_0_78,negated_conjecture,
    cong(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_75,c_0_44]) ).

cnf(c_0_79,plain,
    ( para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_80,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_81,negated_conjecture,
    ( para(X1,X2,X3,X4)
    | ~ midp(X1,X4,X3) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_82,negated_conjecture,
    para(X1,X2,X3,X3),
    inference(spm,[status(thm)],[c_0_81,c_0_80]) ).

cnf(c_0_83,negated_conjecture,
    para(X1,X1,X2,X3),
    inference(spm,[status(thm)],[c_0_29,c_0_82]) ).

cnf(c_0_84,negated_conjecture,
    ~ para(esk27_0,esk26_0,esk28_0,esk29_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_85,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_83]),c_0_82])]) ).

cnf(c_0_86,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO658+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 07:56:49 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.18/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.34/2.73  # ENIGMATIC: Solved by autoschedule:
% 10.34/2.73  # No SInE strategy applied
% 10.34/2.73  # Trying AutoSched0 for 150 seconds
% 10.34/2.73  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.34/2.73  # and selection function SelectComplexExceptUniqMaxHorn.
% 10.34/2.73  #
% 10.34/2.73  # Preprocessing time       : 0.034 s
% 10.34/2.73  # Presaturation interreduction done
% 10.34/2.73  
% 10.34/2.73  # Proof found!
% 10.34/2.73  # SZS status Theorem
% 10.34/2.73  # SZS output start CNFRefutation
% See solution above
% 10.34/2.74  # Training examples: 0 positive, 0 negative
% 10.34/2.74  
% 10.34/2.74  # -------------------------------------------------
% 10.34/2.74  # User time                : 0.211 s
% 10.34/2.74  # System time              : 0.012 s
% 10.34/2.74  # Total time               : 0.223 s
% 10.34/2.74  # Maximum resident set size: 7120 pages
% 10.34/2.74  
%------------------------------------------------------------------------------