TSTP Solution File: GEO592+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO592+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 03:46:28 EDT 2022

% Result   : Theorem 8.18s 2.53s
% Output   : CNFRefutation 8.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   32
% Syntax   : Number of clauses     :  142 (  55 unt;   0 nHn; 120 RR)
%            Number of literals    :  258 (   0 equ; 118 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-6 aty)
%            Number of variables   :  316 (  19 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_90,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_90) ).

cnf(i_0_95,plain,
    ( perp(esk15_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_95) ).

cnf(i_0_89,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_89) ).

cnf(i_0_6,negated_conjecture,
    circle(esk5_0,esk3_0,esk7_0,esk12_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_6) ).

cnf(i_0_59,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_59) ).

cnf(i_0_24,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_24) ).

cnf(i_0_48,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_48) ).

cnf(i_0_70,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_70) ).

cnf(i_0_25,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_25) ).

cnf(i_0_12,negated_conjecture,
    coll(esk4_0,esk1_0,esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_12) ).

cnf(i_0_46,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_46) ).

cnf(i_0_47,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_47) ).

cnf(i_0_2,negated_conjecture,
    coll(esk9_0,esk1_0,esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_2) ).

cnf(i_0_77,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_77) ).

cnf(i_0_3,negated_conjecture,
    coll(esk9_0,esk3_0,esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_3) ).

cnf(i_0_36,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_36) ).

cnf(i_0_88,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_88) ).

cnf(i_0_14,negated_conjecture,
    perp(esk3_0,esk1_0,esk3_0,esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_14) ).

cnf(i_0_29,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_29) ).

cnf(i_0_79,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_79) ).

cnf(i_0_13,negated_conjecture,
    perp(esk4_0,esk3_0,esk1_0,esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_13) ).

cnf(i_0_66,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_66) ).

cnf(i_0_54,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_54) ).

cnf(i_0_65,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X4,X2,X3)
    | ~ perp(X1,X4,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_65) ).

cnf(i_0_31,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_31) ).

cnf(i_0_30,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_30) ).

cnf(i_0_121,plain,
    ( midp(esk29_6(X1,X2,X3,X4,X5,X6),X1,X4)
    | ~ midp(X6,X3,X4)
    | ~ midp(X5,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_121) ).

cnf(i_0_75,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X4,X5)
    | ~ para(X4,X3,X5,X2)
    | ~ para(X4,X2,X5,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_75) ).

cnf(i_0_78,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_78) ).

cnf(i_0_11,negated_conjecture,
    midp(esk5_0,esk2_0,esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_11) ).

cnf(i_0_16,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_16) ).

cnf(i_0_1,negated_conjecture,
    ~ cong(esk9_0,esk3_0,esk9_0,esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j0o8oq81/lgb.p',i_0_1) ).

cnf(c_0_154,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    i_0_90 ).

cnf(c_0_155,plain,
    ( perp(esk15_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    i_0_95 ).

cnf(c_0_156,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    i_0_89 ).

cnf(c_0_157,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk15_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_158,plain,
    ( perp(X1,X2,esk15_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_156,c_0_155]) ).

cnf(c_0_159,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_160,negated_conjecture,
    circle(esk5_0,esk3_0,esk7_0,esk12_0),
    i_0_6 ).

cnf(c_0_161,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    i_0_59 ).

cnf(c_0_162,negated_conjecture,
    para(esk3_0,esk5_0,esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_163,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
    i_0_24 ).

cnf(c_0_164,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    i_0_48 ).

cnf(c_0_165,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    i_0_70 ).

cnf(c_0_166,plain,
    para(esk3_0,esk5_0,esk5_0,esk3_0),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_167,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    i_0_25 ).

cnf(c_0_168,negated_conjecture,
    coll(esk4_0,esk1_0,esk2_0),
    i_0_12 ).

cnf(c_0_169,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    i_0_46 ).

cnf(c_0_170,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_171,plain,
    para(esk5_0,esk3_0,esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_172,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    i_0_47 ).

cnf(c_0_173,negated_conjecture,
    coll(esk4_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_174,negated_conjecture,
    coll(esk9_0,esk1_0,esk6_0),
    i_0_2 ).

cnf(c_0_175,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_176,plain,
    para(esk5_0,esk3_0,esk5_0,esk3_0),
    inference(spm,[status(thm)],[c_0_161,c_0_171]) ).

cnf(c_0_177,negated_conjecture,
    ( coll(X1,esk1_0,esk4_0)
    | ~ coll(esk4_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_178,negated_conjecture,
    coll(esk9_0,esk6_0,esk1_0),
    inference(spm,[status(thm)],[c_0_167,c_0_174]) ).

cnf(c_0_179,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    i_0_77 ).

cnf(c_0_180,plain,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_181,negated_conjecture,
    coll(esk9_0,esk3_0,esk4_0),
    i_0_3 ).

cnf(c_0_182,negated_conjecture,
    coll(esk1_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_177,c_0_173]) ).

cnf(c_0_183,negated_conjecture,
    ( coll(X1,esk1_0,esk9_0)
    | ~ coll(esk9_0,esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_172,c_0_178]) ).

cnf(c_0_184,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    i_0_36 ).

cnf(c_0_185,plain,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_186,negated_conjecture,
    coll(esk9_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_167,c_0_181]) ).

cnf(c_0_187,plain,
    ( coll(X1,esk4_0,esk1_0)
    | ~ coll(esk1_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_172,c_0_182]) ).

cnf(c_0_188,negated_conjecture,
    coll(esk1_0,esk1_0,esk9_0),
    inference(spm,[status(thm)],[c_0_183,c_0_178]) ).

cnf(c_0_189,plain,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_190,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    i_0_88 ).

cnf(c_0_191,negated_conjecture,
    perp(esk3_0,esk1_0,esk3_0,esk2_0),
    i_0_14 ).

cnf(c_0_192,plain,
    coll(esk4_0,esk9_0,esk3_0),
    inference(spm,[status(thm)],[c_0_184,c_0_186]) ).

cnf(c_0_193,negated_conjecture,
    coll(esk9_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_187,c_0_188]) ).

cnf(c_0_194,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    i_0_29 ).

cnf(c_0_195,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    i_0_79 ).

cnf(c_0_196,plain,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_167,c_0_189]) ).

cnf(c_0_197,negated_conjecture,
    perp(esk4_0,esk3_0,esk1_0,esk2_0),
    i_0_13 ).

cnf(c_0_198,negated_conjecture,
    perp(esk3_0,esk1_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_199,plain,
    ( coll(X1,esk3_0,esk4_0)
    | ~ coll(esk4_0,esk9_0,X1) ),
    inference(spm,[status(thm)],[c_0_172,c_0_192]) ).

cnf(c_0_200,plain,
    coll(esk4_0,esk9_0,esk1_0),
    inference(spm,[status(thm)],[c_0_184,c_0_193]) ).

cnf(c_0_201,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    i_0_66 ).

cnf(c_0_202,plain,
    ( cong(X1,X2,X3,X1)
    | ~ midp(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_203,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    i_0_54 ).

cnf(c_0_204,plain,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_196]),c_0_196])]) ).

cnf(c_0_205,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X4,X2,X3)
    | ~ perp(X1,X4,X2,X3) ),
    i_0_65 ).

cnf(c_0_206,negated_conjecture,
    perp(esk4_0,esk3_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_190,c_0_197]) ).

cnf(c_0_207,plain,
    perp(esk2_0,esk3_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_156,c_0_198]) ).

cnf(c_0_208,negated_conjecture,
    coll(esk1_0,esk4_0,esk2_0),
    inference(spm,[status(thm)],[c_0_184,c_0_168]) ).

cnf(c_0_209,plain,
    coll(esk1_0,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_210,plain,
    ( perp(X1,X2,X3,X1)
    | ~ cong(X1,X3,X2,X3)
    | ~ midp(X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_201,c_0_202]) ).

cnf(c_0_211,plain,
    ( midp(X1,X2,X3)
    | ~ para(X4,X1,X5,X3)
    | ~ midp(X4,X2,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_204])]) ).

cnf(c_0_212,plain,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_161,c_0_180]) ).

cnf(c_0_213,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X5,X6) ),
    i_0_31 ).

cnf(c_0_214,plain,
    ( cong(esk4_0,esk2_0,esk4_0,esk1_0)
    | ~ midp(esk3_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_215,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    i_0_30 ).

cnf(c_0_216,plain,
    perp(esk2_0,esk3_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_190,c_0_207]) ).

cnf(c_0_217,negated_conjecture,
    ( coll(X1,esk2_0,esk1_0)
    | ~ coll(esk1_0,esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_172,c_0_208]) ).

cnf(c_0_218,plain,
    coll(esk1_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_167,c_0_209]) ).

cnf(c_0_219,plain,
    ( perp(X1,X2,X1,X1)
    | ~ midp(X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_210,c_0_202]) ).

cnf(c_0_220,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X3,X2,X1) ),
    inference(spm,[status(thm)],[c_0_211,c_0_212]) ).

cnf(c_0_221,plain,
    ( cong(X1,X2,esk4_0,esk1_0)
    | ~ cong(X1,X2,esk4_0,esk2_0)
    | ~ midp(esk3_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_214]) ).

cnf(c_0_222,plain,
    ( cong(esk4_0,esk1_0,esk4_0,esk2_0)
    | ~ midp(esk3_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_215,c_0_214]) ).

cnf(c_0_223,plain,
    coll(esk1_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_167,c_0_182]) ).

cnf(c_0_224,plain,
    ( cong(esk2_0,esk1_0,esk2_0,esk3_0)
    | ~ midp(esk3_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_205,c_0_216]) ).

cnf(c_0_225,negated_conjecture,
    coll(esk3_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_217,c_0_218]) ).

cnf(c_0_226,plain,
    ( cong(X1,X1,X1,X1)
    | ~ midp(X2,X1,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_219]),c_0_220]) ).

cnf(c_0_227,plain,
    ( midp(esk29_6(X1,X2,X3,X4,X5,X6),X1,X4)
    | ~ midp(X6,X3,X4)
    | ~ midp(X5,X1,X2) ),
    i_0_121 ).

cnf(c_0_228,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X4,X5)
    | ~ para(X4,X3,X5,X2)
    | ~ para(X4,X2,X5,X3) ),
    i_0_75 ).

cnf(c_0_229,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    i_0_78 ).

cnf(c_0_230,plain,
    ( cong(esk4_0,esk1_0,esk4_0,esk1_0)
    | ~ midp(esk3_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_221,c_0_222]) ).

cnf(c_0_231,plain,
    coll(esk4_0,esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_184,c_0_223]) ).

cnf(c_0_232,plain,
    ( cong(esk2_0,esk3_0,esk2_0,esk1_0)
    | ~ midp(esk3_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_215,c_0_224]) ).

cnf(c_0_233,plain,
    coll(esk2_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_184,c_0_225]) ).

cnf(c_0_234,plain,
    ( cong(X1,X1,X1,X1)
    | ~ midp(X2,X3,X1)
    | ~ midp(X4,X1,X5) ),
    inference(spm,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_235,negated_conjecture,
    midp(esk5_0,esk2_0,esk1_0),
    i_0_11 ).

cnf(c_0_236,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    i_0_16 ).

cnf(c_0_237,plain,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_180]),c_0_180])]) ).

cnf(c_0_238,plain,
    ( midp(esk4_0,esk1_0,esk1_0)
    | ~ midp(esk3_0,esk2_0,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231])]) ).

cnf(c_0_239,plain,
    ( midp(esk2_0,esk3_0,esk1_0)
    | ~ midp(esk3_0,esk1_0,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_232]),c_0_233])]) ).

cnf(c_0_240,negated_conjecture,
    ( cong(esk1_0,esk1_0,esk1_0,esk1_0)
    | ~ midp(X1,esk1_0,X2) ),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_241,negated_conjecture,
    midp(esk5_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_236,c_0_235]) ).

cnf(c_0_242,plain,
    ( midp(esk4_0,X1,X1)
    | ~ midp(esk3_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_243,plain,
    ( midp(esk2_0,esk1_0,esk3_0)
    | ~ midp(esk3_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_236,c_0_239]) ).

cnf(c_0_244,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_204])]) ).

cnf(c_0_245,negated_conjecture,
    cong(esk1_0,esk1_0,esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_240,c_0_241]) ).

cnf(c_0_246,plain,
    ( cong(X1,X1,X1,X1)
    | ~ midp(esk3_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_226,c_0_242]) ).

cnf(c_0_247,plain,
    ( midp(esk3_0,esk1_0,esk2_0)
    | ~ midp(esk3_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_220,c_0_243]) ).

cnf(c_0_248,plain,
    midp(esk1_0,esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_249,plain,
    ( midp(X1,X1,X1)
    | ~ midp(esk3_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_244,c_0_246]) ).

cnf(c_0_250,plain,
    ( midp(esk3_0,esk2_0,esk1_0)
    | ~ midp(esk3_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_236,c_0_247]) ).

cnf(c_0_251,plain,
    ( midp(X1,X2,X1)
    | ~ midp(X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_211,c_0_180]) ).

cnf(c_0_252,plain,
    midp(esk1_0,X1,X1),
    inference(spm,[status(thm)],[c_0_237,c_0_248]) ).

cnf(c_0_253,plain,
    ( midp(X1,X1,X1)
    | ~ midp(esk3_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_254,plain,
    midp(X1,esk1_0,X1),
    inference(spm,[status(thm)],[c_0_251,c_0_252]) ).

cnf(c_0_255,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_215,c_0_195]) ).

cnf(c_0_256,plain,
    midp(X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_254])]) ).

cnf(c_0_257,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X3,X5)
    | ~ midp(X3,X4,X5) ),
    inference(spm,[status(thm)],[c_0_213,c_0_255]) ).

cnf(c_0_258,plain,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_237,c_0_256]) ).

cnf(c_0_259,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X3,X4)
    | ~ midp(X1,X2,X4) ),
    inference(spm,[status(thm)],[c_0_257,c_0_195]) ).

cnf(c_0_260,plain,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_251,c_0_258]) ).

cnf(c_0_261,negated_conjecture,
    ~ cong(esk9_0,esk3_0,esk9_0,esk1_0),
    i_0_1 ).

cnf(c_0_262,plain,
    cong(X1,X2,X1,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_260])]) ).

cnf(c_0_263,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_261,c_0_262])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO592+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n027.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 12:21:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.18/2.53  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.18/2.53  # No SInE strategy applied
% 8.18/2.53  # Trying AutoSched0 for 150 seconds
% 8.18/2.53  # AutoSched0-Mode selected heuristic G_E___208_B02_F1_AE_CS_SP_PS_S0Y
% 8.18/2.53  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.18/2.53  #
% 8.18/2.53  # Preprocessing time       : 0.024 s
% 8.18/2.53  # Presaturation interreduction done
% 8.18/2.53  
% 8.18/2.53  # Proof found!
% 8.18/2.53  # SZS status Theorem
% 8.18/2.53  # SZS output start CNFRefutation
% See solution above
% 8.18/2.53  # Training examples: 0 positive, 0 negative
% 8.18/2.53  
% 8.18/2.53  # -------------------------------------------------
% 8.18/2.53  # User time                : 0.244 s
% 8.18/2.53  # System time              : 0.008 s
% 8.18/2.53  # Total time               : 0.252 s
% 8.18/2.53  # Maximum resident set size: 7124 pages
% 8.18/2.53  
%------------------------------------------------------------------------------