TSTP Solution File: GEO596+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : GEO596+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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 : Sat May  4 07:46:06 EDT 2024

% Result   : Theorem 0.35s 0.74s
% Output   : CNFRefutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  131 (  34 unt;   0 def)
%            Number of atoms       :  288 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  259 ( 102   ~;  99   |;  29   &)
%                                         (   0 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :  552 (  55 sgn 290   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416058,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X19] :
      ( ( circle(X4,X1,X2,X3)
        & circle(X4,X1,X5,X19)
        & coll(X6,X1,X2)
        & coll(X6,X3,X5)
        & para(X1,X5,X13,X6)
        & coll(X13,X2,X3) )
     => eqangle(X13,X6,X6,X2,X6,X3,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',exemplo6GDDFULL416058) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',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/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD6) ).

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',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/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',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/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',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/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD39) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD66) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD2) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD1) ).

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/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD42b) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD3) ).

fof(ruleD15,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD15) ).

fof(ruleD14,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD14) ).

fof(ruleD51,axiom,
    ! [X1,X2,X3,X8,X7] :
      ( ( circle(X8,X1,X2,X3)
        & coll(X7,X2,X3)
        & eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
     => midp(X7,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD51) ).

fof(ruleD41,axiom,
    ! [X1,X2,X9,X10] :
      ( cyclic(X1,X2,X9,X10)
     => eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD41) ).

fof(ruleD16,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD16) ).

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/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD17) ).

fof(ruleD45,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X5,X1,X2)
        & para(X5,X6,X2,X3)
        & coll(X6,X1,X3) )
     => midp(X6,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD45) ).

fof(ruleD11,axiom,
    ! [X1,X2,X7] :
      ( midp(X7,X2,X1)
     => midp(X7,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD11) ).

fof(ruleD73,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & para(X9,X10,X11,X12) )
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD73) ).

fof(ruleD46,axiom,
    ! [X1,X2,X8] :
      ( cong(X8,X1,X8,X2)
     => eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD46) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD68) ).

fof(ruleD64,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & para(X1,X3,X2,X4)
        & para(X1,X4,X2,X3) )
     => midp(X7,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD64) ).

fof(ruleD44,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X5,X1,X2)
        & midp(X6,X1,X3) )
     => para(X5,X6,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD44) ).

fof(ruleD20,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD20) ).

fof(ruleD21,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD21) ).

fof(ruleD22,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
     => eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
    file('/export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p',ruleD22) ).

fof(c_0_28,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X19] :
        ( ( circle(X4,X1,X2,X3)
          & circle(X4,X1,X5,X19)
          & coll(X6,X1,X2)
          & coll(X6,X3,X5)
          & para(X1,X5,X13,X6)
          & coll(X13,X2,X3) )
       => eqangle(X13,X6,X6,X2,X6,X3,X3,X2) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL416058]) ).

fof(c_0_29,plain,
    ! [X196,X197,X198,X199] :
      ( ~ para(X196,X197,X198,X199)
      | para(X196,X197,X199,X198) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).

fof(c_0_30,negated_conjecture,
    ( circle(esk4_0,esk1_0,esk2_0,esk3_0)
    & circle(esk4_0,esk1_0,esk5_0,esk8_0)
    & coll(esk6_0,esk1_0,esk2_0)
    & coll(esk6_0,esk3_0,esk5_0)
    & para(esk1_0,esk5_0,esk7_0,esk6_0)
    & coll(esk7_0,esk2_0,esk3_0)
    & ~ eqangle(esk7_0,esk6_0,esk6_0,esk2_0,esk6_0,esk3_0,esk3_0,esk2_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).

fof(c_0_31,plain,
    ! [X204,X205,X206,X207,X208,X209] :
      ( ~ para(X204,X205,X206,X207)
      | ~ para(X206,X207,X208,X209)
      | para(X204,X205,X208,X209) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])])]) ).

cnf(c_0_32,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_33,negated_conjecture,
    para(esk1_0,esk5_0,esk7_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_34,plain,
    ! [X200,X201,X202,X203] :
      ( ~ para(X200,X201,X202,X203)
      | para(X202,X203,X200,X201) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).

fof(c_0_35,plain,
    ! [X36,X37,X38,X39,X40,X41,X42,X43] :
      ( ~ eqangle(X36,X37,X38,X39,X40,X41,X42,X43)
      | eqangle(X38,X39,X36,X37,X42,X43,X40,X41) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).

fof(c_0_36,plain,
    ! [X78,X79,X80,X81,X82,X83] :
      ( ~ para(X78,X79,X80,X81)
      | eqangle(X78,X79,X82,X83,X80,X81,X82,X83) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).

cnf(c_0_37,plain,
    ( para(X1,X2,X5,X6)
    | ~ para(X1,X2,X3,X4)
    | ~ para(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_38,negated_conjecture,
    para(esk1_0,esk5_0,esk6_0,esk7_0),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_39,plain,
    ( para(X3,X4,X1,X2)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_40,plain,
    ! [X72,X73,X74,X75,X76,X77] :
      ( ~ eqangle(X72,X73,X76,X77,X74,X75,X76,X77)
      | para(X72,X73,X74,X75) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).

cnf(c_0_41,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_35]) ).

cnf(c_0_42,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_43,negated_conjecture,
    ( para(X1,X2,esk6_0,esk7_0)
    | ~ para(X1,X2,esk1_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_44,negated_conjecture,
    para(esk7_0,esk6_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_39,c_0_33]) ).

cnf(c_0_45,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_46,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    para(esk7_0,esk6_0,esk6_0,esk7_0),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

fof(c_0_48,plain,
    ! [X144,X145,X146] :
      ( ~ para(X144,X145,X144,X146)
      | coll(X144,X145,X146) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).

cnf(c_0_49,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_50,negated_conjecture,
    para(esk7_0,esk6_0,esk7_0,esk6_0),
    inference(spm,[status(thm)],[c_0_32,c_0_47]) ).

fof(c_0_51,plain,
    ! [X132,X133,X134] :
      ( ~ coll(X132,X133,X134)
      | coll(X133,X132,X134) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).

cnf(c_0_52,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_53,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

fof(c_0_54,plain,
    ! [X129,X130,X131] :
      ( ~ coll(X129,X130,X131)
      | coll(X129,X131,X130) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).

cnf(c_0_55,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

fof(c_0_57,plain,
    ! [X378,X379,X380,X381] :
      ( ~ eqangle(X380,X378,X380,X379,X381,X378,X381,X379)
      | ~ coll(X380,X381,X379)
      | cyclic(X378,X379,X380,X381) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).

fof(c_0_58,plain,
    ! [X135,X136,X137,X138] :
      ( ~ coll(X135,X136,X137)
      | ~ coll(X135,X136,X138)
      | coll(X137,X138,X135) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).

cnf(c_0_59,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_60,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_61,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_57]) ).

cnf(c_0_62,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_63,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

fof(c_0_64,plain,
    ! [X357,X358,X359,X360] :
      ( ~ cyclic(X357,X358,X359,X360)
      | cyclic(X357,X359,X358,X360) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).

cnf(c_0_65,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_61,c_0_42]) ).

cnf(c_0_66,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_63])]) ).

fof(c_0_67,plain,
    ! [X353,X354,X355,X356] :
      ( ~ cyclic(X353,X354,X355,X356)
      | cyclic(X353,X354,X356,X355) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).

cnf(c_0_68,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_69,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_53])]),c_0_66])]) ).

fof(c_0_70,plain,
    ! [X269,X270,X271,X272,X273] :
      ( ~ circle(X272,X269,X270,X271)
      | ~ coll(X273,X270,X271)
      | ~ eqangle(X269,X270,X269,X271,X272,X270,X272,X273)
      | midp(X273,X270,X271) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])])]) ).

fof(c_0_71,plain,
    ! [X370,X371,X372,X373] :
      ( ~ cyclic(X370,X371,X372,X373)
      | eqangle(X372,X370,X372,X371,X373,X370,X373,X371) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).

fof(c_0_72,plain,
    ! [X361,X362,X363,X364] :
      ( ~ cyclic(X361,X362,X363,X364)
      | cyclic(X362,X361,X363,X364) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).

cnf(c_0_73,plain,
    ( cyclic(X1,X2,X4,X3)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_74,plain,
    cyclic(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_75,plain,
    ( midp(X5,X3,X4)
    | ~ circle(X1,X2,X3,X4)
    | ~ coll(X5,X3,X4)
    | ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_76,plain,
    ( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

fof(c_0_77,plain,
    ! [X365,X366,X367,X368,X369] :
      ( ~ cyclic(X365,X366,X367,X368)
      | ~ cyclic(X365,X366,X367,X369)
      | cyclic(X366,X367,X368,X369) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).

cnf(c_0_78,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_79,plain,
    cyclic(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

fof(c_0_80,plain,
    ! [X139,X140,X141,X142,X143] :
      ( ~ midp(X142,X139,X140)
      | ~ para(X142,X143,X140,X141)
      | ~ coll(X143,X139,X141)
      | midp(X143,X139,X141) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).

cnf(c_0_81,plain,
    ( midp(X1,X2,X1)
    | ~ cyclic(X2,X1,X3,X4)
    | ~ circle(X4,X3,X2,X1)
    | ~ coll(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_82,plain,
    ( cyclic(X2,X3,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_83,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_84,plain,
    ( midp(X4,X2,X5)
    | ~ midp(X1,X2,X3)
    | ~ para(X1,X4,X3,X5)
    | ~ coll(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_85,plain,
    ( midp(X1,X2,X1)
    | ~ cyclic(X2,X1,X3,X4)
    | ~ circle(X4,X3,X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_60])]) ).

cnf(c_0_86,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_83])]) ).

cnf(c_0_87,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_66])]) ).

cnf(c_0_88,plain,
    ( midp(X1,X2,X1)
    | ~ circle(X3,X4,X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86])]) ).

cnf(c_0_89,negated_conjecture,
    circle(esk4_0,esk1_0,esk5_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_90,plain,
    ! [X345,X346,X347] :
      ( ~ midp(X347,X346,X345)
      | midp(X347,X345,X346) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).

cnf(c_0_91,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_87,c_0_53]) ).

cnf(c_0_92,negated_conjecture,
    midp(esk8_0,esk5_0,esk8_0),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

fof(c_0_93,plain,
    ! [X98,X99,X100,X101,X102,X103,X104,X105] :
      ( ~ eqangle(X98,X99,X100,X101,X102,X103,X104,X105)
      | ~ para(X102,X103,X104,X105)
      | para(X98,X99,X100,X101) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).

fof(c_0_94,plain,
    ! [X84,X85,X86] :
      ( ~ cong(X86,X84,X86,X85)
      | eqangle(X86,X84,X84,X85,X84,X85,X86,X85) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).

fof(c_0_95,plain,
    ! [X328,X329,X330] :
      ( ~ midp(X328,X329,X330)
      | cong(X328,X329,X328,X330) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).

cnf(c_0_96,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_97,negated_conjecture,
    midp(X1,esk5_0,X1),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_98,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ para(X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_99,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_100,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_101,negated_conjecture,
    midp(X1,X1,esk5_0),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_102,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_103,negated_conjecture,
    cong(X1,X1,X1,esk5_0),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

fof(c_0_104,plain,
    ! [X232,X233,X234,X235,X236] :
      ( ~ midp(X236,X232,X233)
      | ~ para(X232,X234,X233,X235)
      | ~ para(X232,X235,X233,X234)
      | midp(X236,X234,X235) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).

cnf(c_0_105,negated_conjecture,
    para(X1,X1,X1,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_53])]) ).

cnf(c_0_106,plain,
    ( midp(X1,X4,X5)
    | ~ midp(X1,X2,X3)
    | ~ para(X2,X4,X3,X5)
    | ~ para(X2,X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_107,negated_conjecture,
    ( midp(X1,X2,esk5_0)
    | ~ midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_87,c_0_105]) ).

cnf(c_0_108,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_53]),c_0_53])]) ).

cnf(c_0_109,negated_conjecture,
    midp(X1,esk5_0,esk5_0),
    inference(spm,[status(thm)],[c_0_107,c_0_97]) ).

cnf(c_0_110,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_111,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_91,c_0_110]) ).

fof(c_0_112,plain,
    ! [X222,X223,X224,X225,X226] :
      ( ~ midp(X225,X222,X223)
      | ~ midp(X226,X222,X224)
      | para(X225,X226,X223,X224) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).

cnf(c_0_113,negated_conjecture,
    midp(X1,X2,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_111])]) ).

fof(c_0_114,plain,
    ! [X44,X45,X46,X47,X48,X49,X50,X51] :
      ( ~ eqangle(X44,X45,X46,X47,X48,X49,X50,X51)
      | eqangle(X48,X49,X50,X51,X44,X45,X46,X47) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])])]) ).

cnf(c_0_115,plain,
    ( para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_116,negated_conjecture,
    midp(X1,esk5_0,X2),
    inference(spm,[status(thm)],[c_0_96,c_0_113]) ).

cnf(c_0_117,plain,
    ( eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_114]) ).

fof(c_0_118,plain,
    ! [X52,X53,X54,X55,X56,X57,X58,X59] :
      ( ~ eqangle(X52,X53,X54,X55,X56,X57,X58,X59)
      | eqangle(X52,X53,X56,X57,X54,X55,X58,X59) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])])]) ).

cnf(c_0_119,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_116])]) ).

cnf(c_0_120,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    inference(spm,[status(thm)],[c_0_117,c_0_42]) ).

fof(c_0_121,plain,
    ! [X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71] :
      ( ~ eqangle(X60,X61,X62,X63,X64,X65,X66,X67)
      | ~ eqangle(X64,X65,X66,X67,X68,X69,X70,X71)
      | eqangle(X60,X61,X62,X63,X68,X69,X70,X71) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])])]) ).

cnf(c_0_122,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_123,plain,
    eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_119])]) ).

cnf(c_0_124,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_119])]) ).

cnf(c_0_125,plain,
    ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12) ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_126,plain,
    eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_127,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
    inference(spm,[status(thm)],[c_0_122,c_0_124]) ).

cnf(c_0_128,negated_conjecture,
    ~ eqangle(esk7_0,esk6_0,esk6_0,esk2_0,esk6_0,esk3_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_129,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127])]) ).

cnf(c_0_130,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO596+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 18:45:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.6ylfrDmL12/E---3.1_24389.p
% 0.35/0.74  # Version: 3.1.0
% 0.35/0.74  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.35/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.74  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.35/0.74  # Starting new_bool_3 with 300s (1) cores
% 0.35/0.74  # Starting new_bool_1 with 300s (1) cores
% 0.35/0.74  # Starting sh5l with 300s (1) cores
% 0.35/0.74  # new_bool_1 with pid 24471 completed with status 0
% 0.35/0.74  # Result found by new_bool_1
% 0.35/0.74  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.35/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.74  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.35/0.74  # Starting new_bool_3 with 300s (1) cores
% 0.35/0.74  # Starting new_bool_1 with 300s (1) cores
% 0.35/0.74  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.35/0.74  # Search class: FGUSF-FFLM33-SFFFFFNN
% 0.35/0.74  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.35/0.74  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.35/0.74  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.35/0.74  # SAT001_MinMin_p005000_rr_RG with pid 24474 completed with status 0
% 0.35/0.74  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.35/0.74  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.35/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.74  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.35/0.74  # Starting new_bool_3 with 300s (1) cores
% 0.35/0.74  # Starting new_bool_1 with 300s (1) cores
% 0.35/0.74  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.35/0.74  # Search class: FGUSF-FFLM33-SFFFFFNN
% 0.35/0.74  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.35/0.74  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.35/0.74  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.35/0.74  # Preprocessing time       : 0.003 s
% 0.35/0.74  # Presaturation interreduction done
% 0.35/0.74  
% 0.35/0.74  # Proof found!
% 0.35/0.74  # SZS status Theorem
% 0.35/0.74  # SZS output start CNFRefutation
% See solution above
% 0.35/0.74  # Parsed axioms                        : 95
% 0.35/0.74  # Removed by relevancy pruning/SinE    : 21
% 0.35/0.74  # Initial clauses                      : 99
% 0.35/0.74  # Removed in clause preprocessing      : 0
% 0.35/0.74  # Initial clauses in saturation        : 99
% 0.35/0.74  # Processed clauses                    : 2816
% 0.35/0.74  # ...of these trivial                  : 343
% 0.35/0.74  # ...subsumed                          : 355
% 0.35/0.74  # ...remaining for further processing  : 2118
% 0.35/0.74  # Other redundant clauses eliminated   : 0
% 0.35/0.74  # Clauses deleted for lack of memory   : 0
% 0.35/0.74  # Backward-subsumed                    : 44
% 0.35/0.74  # Backward-rewritten                   : 1968
% 0.35/0.74  # Generated clauses                    : 14084
% 0.35/0.74  # ...of the previous two non-redundant : 8921
% 0.35/0.74  # ...aggressively subsumed             : 0
% 0.35/0.74  # Contextual simplify-reflections      : 5
% 0.35/0.74  # Paramodulations                      : 14084
% 0.35/0.74  # Factorizations                       : 0
% 0.35/0.74  # NegExts                              : 0
% 0.35/0.74  # Equation resolutions                 : 0
% 0.35/0.74  # Disequality decompositions           : 0
% 0.35/0.74  # Total rewrite steps                  : 8402
% 0.35/0.74  # ...of those cached                   : 5873
% 0.35/0.74  # Propositional unsat checks           : 0
% 0.35/0.74  #    Propositional check models        : 0
% 0.35/0.74  #    Propositional check unsatisfiable : 0
% 0.35/0.74  #    Propositional clauses             : 0
% 0.35/0.74  #    Propositional clauses after purity: 0
% 0.35/0.74  #    Propositional unsat core size     : 0
% 0.35/0.74  #    Propositional preprocessing time  : 0.000
% 0.35/0.74  #    Propositional encoding time       : 0.000
% 0.35/0.74  #    Propositional solver time         : 0.000
% 0.35/0.74  #    Success case prop preproc time    : 0.000
% 0.35/0.74  #    Success case prop encoding time   : 0.000
% 0.35/0.74  #    Success case prop solver time     : 0.000
% 0.35/0.74  # Current number of processed clauses  : 8
% 0.35/0.74  #    Positive orientable unit clauses  : 8
% 0.35/0.74  #    Positive unorientable unit clauses: 0
% 0.35/0.74  #    Negative unit clauses             : 0
% 0.35/0.74  #    Non-unit-clauses                  : 0
% 0.35/0.74  # Current number of unprocessed clauses: 4432
% 0.35/0.74  # ...number of literals in the above   : 15261
% 0.35/0.74  # Current number of archived formulas  : 0
% 0.35/0.74  # Current number of archived clauses   : 2110
% 0.35/0.74  # Clause-clause subsumption calls (NU) : 86710
% 0.35/0.74  # Rec. Clause-clause subsumption calls : 80849
% 0.35/0.74  # Non-unit clause-clause subsumptions  : 404
% 0.35/0.74  # Unit Clause-clause subsumption calls : 101149
% 0.35/0.74  # Rewrite failures with RHS unbound    : 0
% 0.35/0.74  # BW rewrite match attempts            : 11613
% 0.35/0.74  # BW rewrite match successes           : 1499
% 0.35/0.74  # Condensation attempts                : 0
% 0.35/0.74  # Condensation successes               : 0
% 0.35/0.74  # Termbank termtop insertions          : 159559
% 0.35/0.74  # Search garbage collected termcells   : 2549
% 0.35/0.74  
% 0.35/0.74  # -------------------------------------------------
% 0.35/0.74  # User time                : 0.228 s
% 0.35/0.74  # System time              : 0.011 s
% 0.35/0.74  # Total time               : 0.239 s
% 0.35/0.74  # Maximum resident set size: 2356 pages
% 0.35/0.74  
% 0.35/0.74  # -------------------------------------------------
% 0.35/0.74  # User time                : 0.229 s
% 0.35/0.74  # System time              : 0.015 s
% 0.35/0.74  # Total time               : 0.245 s
% 0.35/0.74  # Maximum resident set size: 1896 pages
% 0.35/0.74  % E---3.1 exiting
%------------------------------------------------------------------------------