TSTP Solution File: GEO635+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO635+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 03:46:42 EDT 2022

% Result   : Theorem 7.53s 2.21s
% Output   : CNFRefutation 7.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   35
% Syntax   : Number of clauses     :  129 (  31 unt;   0 nHn; 104 RR)
%            Number of literals    :  277 (   0 equ; 150 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-5 aty)
%            Number of variables   :  456 (  34 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_83,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_83) ).

cnf(i_0_88,plain,
    ( perp(esk12_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_88) ).

cnf(i_0_82,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_82) ).

cnf(i_0_3,negated_conjecture,
    circle(esk4_0,esk3_0,esk7_0,esk9_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_3) ).

cnf(i_0_52,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_52) ).

cnf(i_0_17,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-s8gtjd71/lgb.p',i_0_17) ).

cnf(i_0_41,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_41) ).

cnf(i_0_63,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_63) ).

cnf(i_0_39,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_39) ).

cnf(i_0_70,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_70) ).

cnf(i_0_29,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_29) ).

cnf(i_0_18,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_18) ).

cnf(i_0_44,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ coll(X3,X4,X2)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_44) ).

cnf(i_0_40,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_40) ).

cnf(i_0_23,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_23) ).

cnf(i_0_72,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_72) ).

cnf(i_0_13,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_13) ).

cnf(i_0_22,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_22) ).

cnf(i_0_14,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_14) ).

cnf(i_0_54,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ circle(X4,X5,X2,X3)
    | ~ eqangle(X5,X2,X5,X3,X4,X2,X4,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_54) ).

cnf(i_0_42,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ cyclic(X2,X3,X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_42) ).

cnf(i_0_12,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_12) ).

cnf(i_0_24,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_24) ).

cnf(i_0_15,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X5,X1,X2,X4)
    | ~ cyclic(X5,X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_15) ).

cnf(i_0_71,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_71) ).

cnf(i_0_9,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_9) ).

cnf(i_0_10,plain,
    ( circle(X1,X2,X3,X4)
    | ~ cong(X1,X2,X1,X4)
    | ~ cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_10) ).

cnf(i_0_68,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-s8gtjd71/lgb.p',i_0_68) ).

cnf(i_0_56,plain,
    ( perp(X1,X2,X2,X3)
    | ~ coll(X4,X1,X3)
    | ~ circle(X4,X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_56) ).

cnf(i_0_79,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_79) ).

cnf(i_0_81,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_81) ).

cnf(i_0_95,plain,
    ( perp(esk17_5(X1,X2,X3,X4,X5),X1,X4,X5)
    | ~ coll(X2,X4,X5)
    | ~ perp(X1,X3,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_95) ).

cnf(i_0_59,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_59) ).

cnf(i_0_55,plain,
    ( cong(X1,X2,X3,X2)
    | ~ midp(X2,X1,X4)
    | ~ perp(X1,X3,X3,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_55) ).

cnf(i_0_1,negated_conjecture,
    ~ para(esk1_0,esk2_0,esk7_0,esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8gtjd71/lgb.p',i_0_1) ).

cnf(c_0_131,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    i_0_83 ).

cnf(c_0_132,plain,
    ( perp(esk12_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    i_0_88 ).

cnf(c_0_133,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    i_0_82 ).

cnf(c_0_134,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3)
    | ~ circle(X4,X3,X5,X6) ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_135,plain,
    ( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_133,c_0_132]) ).

cnf(c_0_136,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_137,negated_conjecture,
    circle(esk4_0,esk3_0,esk7_0,esk9_0),
    i_0_3 ).

cnf(c_0_138,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    i_0_52 ).

cnf(c_0_139,negated_conjecture,
    para(esk3_0,esk4_0,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_140,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
    i_0_17 ).

cnf(c_0_141,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    i_0_41 ).

cnf(c_0_142,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    i_0_63 ).

cnf(c_0_143,plain,
    para(esk3_0,esk4_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_144,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    i_0_39 ).

cnf(c_0_145,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_146,plain,
    para(esk4_0,esk3_0,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_147,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_148,plain,
    para(esk4_0,esk3_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_138,c_0_146]) ).

cnf(c_0_149,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    i_0_70 ).

cnf(c_0_150,plain,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_151,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    i_0_29 ).

cnf(c_0_152,plain,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_153,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    i_0_18 ).

cnf(c_0_154,plain,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_155,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ coll(X3,X4,X2)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    i_0_44 ).

cnf(c_0_156,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    i_0_40 ).

cnf(c_0_157,plain,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_158,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ coll(X3,X3,X2)
    | ~ para(X3,X1,X3,X1) ),
    inference(spm,[status(thm)],[c_0_155,c_0_141]) ).

cnf(c_0_159,plain,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_157])]) ).

cnf(c_0_160,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    i_0_23 ).

cnf(c_0_161,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    i_0_72 ).

cnf(c_0_162,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    i_0_13 ).

cnf(c_0_163,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_150])]),c_0_159])]) ).

cnf(c_0_164,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    i_0_22 ).

cnf(c_0_165,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_166,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X2,X1,X3,X4) ),
    i_0_14 ).

cnf(c_0_167,plain,
    cyclic(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_168,plain,
    ( cong(X1,X2,X3,X1)
    | ~ midp(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_169,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ circle(X4,X5,X2,X3)
    | ~ eqangle(X5,X2,X5,X3,X4,X2,X4,X1) ),
    i_0_54 ).

cnf(c_0_170,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ cyclic(X2,X3,X1,X4) ),
    i_0_42 ).

cnf(c_0_171,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    i_0_12 ).

cnf(c_0_172,plain,
    cyclic(X1,X2,X3,X1),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_173,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X5,X6) ),
    i_0_24 ).

cnf(c_0_174,plain,
    ( cong(X1,X2,X3,X1)
    | ~ midp(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_164,c_0_161]) ).

cnf(c_0_175,plain,
    ( cong(X1,X2,X2,X3)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_160,c_0_168]) ).

cnf(c_0_176,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_169,c_0_170]) ).

cnf(c_0_177,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X5,X1,X2,X4)
    | ~ cyclic(X5,X1,X2,X3) ),
    i_0_15 ).

cnf(c_0_178,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_179,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X5)
    | ~ midp(X4,X5,X3) ),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_180,plain,
    ( cong(X1,X2,X3,X2)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_164,c_0_175]) ).

cnf(c_0_181,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_176,c_0_154])]) ).

cnf(c_0_182,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_178])]) ).

cnf(c_0_183,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    i_0_71 ).

cnf(c_0_184,plain,
    ( cong(X1,X2,X3,X4)
    | ~ midp(X4,X2,X3)
    | ~ midp(X2,X1,X4) ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_185,plain,
    ( midp(X1,X2,X1)
    | ~ circle(X3,X4,X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_182])]) ).

cnf(c_0_186,plain,
    ( cong(X1,X2,X2,X3)
    | ~ midp(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_160,c_0_174]) ).

cnf(c_0_187,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X3,X2,X1)
    | ~ midp(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_188,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    i_0_9 ).

cnf(c_0_189,negated_conjecture,
    midp(esk9_0,esk7_0,esk9_0),
    inference(spm,[status(thm)],[c_0_185,c_0_137]) ).

cnf(c_0_190,plain,
    ( circle(X1,X2,X3,X4)
    | ~ cong(X1,X2,X1,X4)
    | ~ cong(X1,X2,X1,X3) ),
    i_0_10 ).

cnf(c_0_191,plain,
    ( cong(X1,X2,X3,X2)
    | ~ midp(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_164,c_0_186]) ).

cnf(c_0_192,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X4,X5)
    | ~ para(X4,X3,X5,X2)
    | ~ para(X4,X2,X5,X3) ),
    i_0_68 ).

cnf(c_0_193,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X3,X2,X1)
    | ~ midp(X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_159])]) ).

cnf(c_0_194,plain,
    midp(esk9_0,esk9_0,esk7_0),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_195,plain,
    ( circle(X1,X2,X3,X2)
    | ~ cong(X1,X2,X1,X3)
    | ~ midp(X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_196,plain,
    ( midp(X1,X2,X2)
    | ~ midp(X2,X1,X1)
    | ~ coll(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_183,c_0_191]) ).

cnf(c_0_197,plain,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_150]),c_0_150])]) ).

cnf(c_0_198,plain,
    midp(esk7_0,esk9_0,esk9_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_189])]) ).

cnf(c_0_199,plain,
    ( perp(X1,X2,X2,X3)
    | ~ coll(X4,X1,X3)
    | ~ circle(X4,X1,X2,X3) ),
    i_0_56 ).

cnf(c_0_200,plain,
    ( circle(X1,X2,X2,X2)
    | ~ midp(X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_195,c_0_191]) ).

cnf(c_0_201,plain,
    ( midp(X1,X2,X2)
    | ~ midp(X2,X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_152])]) ).

cnf(c_0_202,plain,
    midp(esk7_0,X1,X1),
    inference(spm,[status(thm)],[c_0_197,c_0_198]) ).

cnf(c_0_203,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    i_0_79 ).

cnf(c_0_204,plain,
    ( perp(X1,X1,X1,X1)
    | ~ midp(X1,X2,X2)
    | ~ coll(X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_205,plain,
    midp(X1,esk7_0,esk7_0),
    inference(spm,[status(thm)],[c_0_201,c_0_202]) ).

cnf(c_0_206,plain,
    ( perp(X1,X2,X1,X3)
    | ~ cyclic(X2,X3,X1,X4)
    | ~ perp(X4,X2,X4,X3) ),
    inference(spm,[status(thm)],[c_0_203,c_0_170]) ).

cnf(c_0_207,plain,
    ( perp(X1,X1,X1,X1)
    | ~ midp(X1,X2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_152])]) ).

cnf(c_0_208,plain,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_197,c_0_205]) ).

cnf(c_0_209,plain,
    ( perp(X1,X2,X1,X3)
    | ~ perp(X4,X2,X4,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_182])]) ).

cnf(c_0_210,plain,
    perp(X1,X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_208])]) ).

cnf(c_0_211,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    i_0_81 ).

cnf(c_0_212,plain,
    perp(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_209,c_0_210]) ).

cnf(c_0_213,plain,
    ( perp(esk17_5(X1,X2,X3,X4,X5),X1,X4,X5)
    | ~ coll(X2,X4,X5)
    | ~ perp(X1,X3,X3,X2) ),
    i_0_95 ).

cnf(c_0_214,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    i_0_59 ).

cnf(c_0_215,plain,
    ( cong(X1,X2,X3,X2)
    | ~ midp(X2,X1,X4)
    | ~ perp(X1,X3,X3,X4) ),
    i_0_55 ).

cnf(c_0_216,plain,
    perp(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_211,c_0_212]) ).

cnf(c_0_217,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X1,X2,esk17_5(X5,X6,X7,X3,X4),X5)
    | ~ perp(X5,X7,X7,X6)
    | ~ coll(X6,X3,X4) ),
    inference(spm,[status(thm)],[c_0_131,c_0_213]) ).

cnf(c_0_218,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X3,X2,X4,X2)
    | ~ cong(X3,X1,X4,X1) ),
    inference(spm,[status(thm)],[c_0_133,c_0_214]) ).

cnf(c_0_219,plain,
    cong(X1,X2,X3,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_208])]) ).

cnf(c_0_220,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X1,X2,esk17_5(X5,X6,X7,X3,X4),X5)
    | ~ perp(X5,X7,X7,X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_159])]) ).

cnf(c_0_221,plain,
    perp(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_219]),c_0_219])]) ).

cnf(c_0_222,negated_conjecture,
    ~ para(esk1_0,esk2_0,esk7_0,esk6_0),
    i_0_1 ).

cnf(c_0_223,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_221]),c_0_221])]) ).

cnf(c_0_224,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_223])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GEO635+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 600
% 0.10/0.31  % DateTime : Fri Jun 17 19:57:48 EDT 2022
% 0.10/0.31  % CPUTime  : 
% 0.16/0.39  # ENIGMATIC: Selected SinE mode:
% 0.16/0.40  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.40  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.16/0.40  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.16/0.40  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.53/2.21  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.53/2.21  # No SInE strategy applied
% 7.53/2.21  # Trying AutoSched0 for 150 seconds
% 7.53/2.21  # AutoSched0-Mode selected heuristic G_E___208_B02_F1_AE_CS_SP_PS_S0Y
% 7.53/2.21  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.53/2.21  #
% 7.53/2.21  # Preprocessing time       : 0.019 s
% 7.53/2.21  # Presaturation interreduction done
% 7.53/2.21  
% 7.53/2.21  # Proof found!
% 7.53/2.21  # SZS status Theorem
% 7.53/2.21  # SZS output start CNFRefutation
% See solution above
% 7.53/2.21  # Training examples: 0 positive, 0 negative
% 7.53/2.21  
% 7.53/2.21  # -------------------------------------------------
% 7.53/2.21  # User time                : 0.127 s
% 7.53/2.21  # System time              : 0.003 s
% 7.53/2.21  # Total time               : 0.130 s
% 7.53/2.21  # Maximum resident set size: 7124 pages
% 7.53/2.21  
%------------------------------------------------------------------------------