TSTP Solution File: GEO656+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO656+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 03:46:48 EDT 2022
% Result : Theorem 8.37s 2.44s
% Output : CNFRefutation 8.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 31
% Syntax : Number of clauses : 132 ( 53 unt; 0 nHn; 101 RR)
% Number of literals : 249 ( 0 equ; 121 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 399 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_18,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X9,X10,X11,X12,X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X9,X10,X11,X12) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_18) ).
cnf(i_0_2,negated_conjecture,
eqangle(esk6_0,esk4_0,esk4_0,esk2_0,esk6_0,esk4_0,esk4_0,esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_2) ).
cnf(i_0_14,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_14) ).
cnf(i_0_38,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_38) ).
cnf(i_0_36,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_36) ).
cnf(i_0_16,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_16) ).
cnf(i_0_67,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_67) ).
cnf(i_0_26,plain,
( coll(X1,X2,X3)
| ~ coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_26) ).
cnf(i_0_15,plain,
( coll(X1,X2,X3)
| ~ coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_15) ).
cnf(i_0_41,plain,
( cyclic(X1,X2,X3,X4)
| ~ coll(X3,X4,X2)
| ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_41) ).
cnf(i_0_37,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X2)
| ~ coll(X3,X4,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_37) ).
cnf(i_0_17,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_17) ).
cnf(i_0_42,plain,
( cong(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X5,X6)
| ~ cyclic(X1,X2,X5,X4)
| ~ cyclic(X1,X2,X5,X3)
| ~ eqangle(X5,X1,X5,X2,X6,X3,X6,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_42) ).
cnf(i_0_54,plain,
( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
| ~ para(X1,X4,X3,X2)
| ~ cyclic(X1,X4,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_54) ).
cnf(i_0_10,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_10) ).
cnf(i_0_3,negated_conjecture,
eqangle(esk5_0,esk4_0,esk4_0,esk1_0,esk5_0,esk4_0,esk4_0,esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_3) ).
cnf(i_0_60,plain,
( para(X1,X2,X3,X4)
| ~ para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_60) ).
cnf(i_0_68,plain,
( midp(X1,X2,X3)
| ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_68) ).
cnf(i_0_44,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ coll(X1,X2,X3)
| ~ para(X4,X1,X5,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_44) ).
cnf(i_0_49,plain,
( para(X1,X2,X3,X4)
| ~ para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_49) ).
cnf(i_0_6,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_6) ).
cnf(i_0_65,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X4,X5)
| ~ para(X4,X3,X5,X2)
| ~ para(X4,X2,X5,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_65) ).
cnf(i_0_4,negated_conjecture,
midp(esk4_0,esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_4) ).
cnf(i_0_75,plain,
( para(X1,X2,X3,X4)
| ~ para(X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_75) ).
cnf(i_0_45,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_45) ).
cnf(i_0_69,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_69) ).
cnf(i_0_39,plain,
( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ cyclic(X2,X3,X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_39) ).
cnf(i_0_12,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X5,X1,X2,X4)
| ~ cyclic(X5,X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_12) ).
cnf(i_0_43,plain,
( para(X1,X2,X3,X4)
| ~ midp(X2,X5,X4)
| ~ midp(X1,X5,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_43) ).
cnf(i_0_71,plain,
( para(X1,X2,X3,X4)
| ~ para(X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_71) ).
cnf(i_0_1,negated_conjecture,
~ para(esk5_0,esk6_0,esk1_0,esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5cvt43db/input.p',i_0_1) ).
cnf(c_0_107,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X9,X10,X11,X12,X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X9,X10,X11,X12) ),
i_0_18 ).
cnf(c_0_108,negated_conjecture,
eqangle(esk6_0,esk4_0,esk4_0,esk2_0,esk6_0,esk4_0,esk4_0,esk3_0),
i_0_2 ).
cnf(c_0_109,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
i_0_14 ).
cnf(c_0_110,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
i_0_38 ).
cnf(c_0_111,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
i_0_36 ).
cnf(c_0_112,negated_conjecture,
( eqangle(X1,X2,X3,X4,esk6_0,esk4_0,esk4_0,esk3_0)
| ~ eqangle(X1,X2,X3,X4,esk6_0,esk4_0,esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_113,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
i_0_16 ).
cnf(c_0_114,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_115,plain,
( para(X1,X2,esk6_0,esk4_0)
| ~ eqangle(X1,X2,esk4_0,esk3_0,esk6_0,esk4_0,esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_116,negated_conjecture,
eqangle(esk6_0,esk4_0,esk4_0,esk3_0,esk6_0,esk4_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_113,c_0_108]) ).
cnf(c_0_117,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_111,c_0_114]) ).
cnf(c_0_118,plain,
para(esk6_0,esk4_0,esk6_0,esk4_0),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_119,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
i_0_67 ).
cnf(c_0_120,plain,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_121,plain,
( coll(X1,X2,X3)
| ~ coll(X2,X1,X3) ),
i_0_26 ).
cnf(c_0_122,plain,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_123,plain,
( coll(X1,X2,X3)
| ~ coll(X1,X3,X2) ),
i_0_15 ).
cnf(c_0_124,plain,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_125,plain,
( cyclic(X1,X2,X3,X4)
| ~ coll(X3,X4,X2)
| ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
i_0_41 ).
cnf(c_0_126,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X2)
| ~ coll(X3,X4,X1) ),
i_0_37 ).
cnf(c_0_127,plain,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_128,plain,
( cyclic(X1,X2,X3,X3)
| ~ coll(X3,X3,X2)
| ~ para(X3,X1,X3,X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_110]) ).
cnf(c_0_129,plain,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_127])]) ).
cnf(c_0_130,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
i_0_17 ).
cnf(c_0_131,plain,
( cyclic(X1,X2,X3,X3)
| ~ coll(X3,X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_120])]) ).
cnf(c_0_132,plain,
( cyclic(X1,X2,X3,X4)
| ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_129])]) ).
cnf(c_0_133,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_130,c_0_110]) ).
cnf(c_0_134,plain,
( cong(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X5,X6)
| ~ cyclic(X1,X2,X5,X4)
| ~ cyclic(X1,X2,X5,X3)
| ~ eqangle(X5,X1,X5,X2,X6,X3,X6,X4) ),
i_0_42 ).
cnf(c_0_135,plain,
( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
| ~ para(X1,X4,X3,X2)
| ~ cyclic(X1,X4,X3,X2) ),
i_0_54 ).
cnf(c_0_136,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_127])]) ).
cnf(c_0_137,plain,
cyclic(X1,X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_120])]) ).
cnf(c_0_138,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X3,X2,X4) ),
i_0_10 ).
cnf(c_0_139,negated_conjecture,
eqangle(esk4_0,esk2_0,esk6_0,esk4_0,esk4_0,esk3_0,esk6_0,esk4_0),
inference(spm,[status(thm)],[c_0_109,c_0_108]) ).
cnf(c_0_140,plain,
( cong(X1,X1,X1,X2)
| ~ cyclic(X3,X2,X3,X1)
| ~ para(X3,X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_137]),c_0_137])]) ).
cnf(c_0_141,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_138,c_0_137]) ).
cnf(c_0_142,negated_conjecture,
eqangle(esk5_0,esk4_0,esk4_0,esk1_0,esk5_0,esk4_0,esk4_0,esk3_0),
i_0_3 ).
cnf(c_0_143,plain,
( para(X1,X2,X3,X4)
| ~ para(X3,X4,X1,X2) ),
i_0_60 ).
cnf(c_0_144,plain,
para(esk4_0,esk2_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_111,c_0_139]) ).
cnf(c_0_145,plain,
( midp(X1,X2,X3)
| ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
i_0_68 ).
cnf(c_0_146,plain,
( cong(X1,X1,X1,X2)
| ~ para(X3,X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141])]) ).
cnf(c_0_147,negated_conjecture,
eqangle(esk4_0,esk1_0,esk5_0,esk4_0,esk4_0,esk3_0,esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_109,c_0_142]) ).
cnf(c_0_148,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ coll(X1,X2,X3)
| ~ para(X4,X1,X5,X3) ),
i_0_44 ).
cnf(c_0_149,plain,
( para(X1,X2,X3,X4)
| ~ para(X1,X2,X4,X3) ),
i_0_49 ).
cnf(c_0_150,plain,
para(esk4_0,esk3_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_151,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_129])]) ).
cnf(c_0_152,plain,
cong(esk3_0,esk3_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_146,c_0_144]) ).
cnf(c_0_153,plain,
para(esk4_0,esk1_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_111,c_0_147]) ).
cnf(c_0_154,plain,
( midp(X1,X2,X3)
| ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_129])]) ).
cnf(c_0_155,plain,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_149,c_0_120]) ).
cnf(c_0_156,plain,
cong(esk2_0,esk2_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_146,c_0_150]) ).
cnf(c_0_157,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X3,X2) ),
i_0_6 ).
cnf(c_0_158,plain,
midp(esk3_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_159,plain,
para(esk4_0,esk1_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_149,c_0_153]) ).
cnf(c_0_160,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X4,X5)
| ~ para(X4,X3,X5,X2)
| ~ para(X4,X2,X5,X3) ),
i_0_65 ).
cnf(c_0_161,plain,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_162,plain,
midp(esk2_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_151,c_0_156]) ).
cnf(c_0_163,negated_conjecture,
midp(esk4_0,esk2_0,esk1_0),
i_0_4 ).
cnf(c_0_164,plain,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_154,c_0_120]) ).
cnf(c_0_165,plain,
midp(esk3_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_166,plain,
para(esk3_0,esk4_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_143,c_0_159]) ).
cnf(c_0_167,plain,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_120]),c_0_120])]) ).
cnf(c_0_168,plain,
midp(esk3_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_169,plain,
( para(X1,X2,X3,X4)
| ~ para(X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
i_0_75 ).
cnf(c_0_170,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
i_0_45 ).
cnf(c_0_171,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
i_0_69 ).
cnf(c_0_172,negated_conjecture,
midp(esk4_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_157,c_0_163]) ).
cnf(c_0_173,plain,
midp(X1,esk2_0,X1),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_174,plain,
( midp(esk4_0,X1,esk1_0)
| ~ midp(esk3_0,X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_154,c_0_166]) ).
cnf(c_0_175,plain,
midp(esk3_0,X1,X1),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_176,plain,
( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ cyclic(X2,X3,X1,X4) ),
i_0_39 ).
cnf(c_0_177,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X5,X1,X2,X4)
| ~ cyclic(X5,X1,X2,X3) ),
i_0_12 ).
cnf(c_0_178,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_179,plain,
cong(esk4_0,esk1_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_180,plain,
( para(X1,X2,X3,X4)
| ~ midp(X2,X5,X4)
| ~ midp(X1,X5,X3) ),
i_0_43 ).
cnf(c_0_181,plain,
midp(X1,X1,esk2_0),
inference(spm,[status(thm)],[c_0_157,c_0_173]) ).
cnf(c_0_182,plain,
midp(esk4_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_183,plain,
( cong(X1,X2,X1,X2)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X2)
| ~ cyclic(X1,X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_134,c_0_176]) ).
cnf(c_0_184,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_138,c_0_136]) ).
cnf(c_0_185,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_137]),c_0_137])]) ).
cnf(c_0_186,plain,
( para(esk4_0,esk1_0,esk1_0,esk2_0)
| ~ para(esk1_0,esk2_0,esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_187,plain,
( para(X1,X2,X3,esk2_0)
| ~ midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_188,negated_conjecture,
midp(esk1_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_161,c_0_163]) ).
cnf(c_0_189,plain,
midp(esk4_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_157,c_0_182]) ).
cnf(c_0_190,plain,
cong(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_184])]),c_0_185]),c_0_185])]) ).
cnf(c_0_191,plain,
( para(X1,X2,X3,X4)
| ~ para(X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
i_0_71 ).
cnf(c_0_192,plain,
para(esk4_0,esk1_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_188])]) ).
cnf(c_0_193,plain,
midp(X1,esk1_0,X1),
inference(spm,[status(thm)],[c_0_164,c_0_189]) ).
cnf(c_0_194,plain,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_151,c_0_190]) ).
cnf(c_0_195,negated_conjecture,
~ para(esk5_0,esk6_0,esk1_0,esk2_0),
i_0_1 ).
cnf(c_0_196,plain,
( para(X1,X2,esk1_0,esk2_0)
| ~ para(X1,X2,esk4_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_197,plain,
midp(X1,X1,esk1_0),
inference(spm,[status(thm)],[c_0_157,c_0_193]) ).
cnf(c_0_198,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_170]) ).
cnf(c_0_199,plain,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_161,c_0_194]) ).
cnf(c_0_200,negated_conjecture,
~ para(esk5_0,esk6_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_201,plain,
( para(X1,X2,X3,esk1_0)
| ~ midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_180,c_0_197]) ).
cnf(c_0_202,plain,
( midp(X1,X2,X3)
| ~ para(X3,X2,X3,X3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_198]),c_0_194])]),c_0_146]) ).
cnf(c_0_203,plain,
( para(X1,X2,X3,X4)
| ~ midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_180,c_0_199]) ).
cnf(c_0_204,plain,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_164,c_0_194]) ).
cnf(c_0_205,plain,
~ midp(esk5_0,esk6_0,esk4_0),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_206,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204])]) ).
cnf(c_0_207,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_206])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO656+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 : n021.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 00:09:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox2/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
% 8.37/2.44 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 8.37/2.44 # Version: 2.1pre011
% 8.37/2.44 # Preprocessing time : 0.029 s
% 8.37/2.44
% 8.37/2.44 # Proof found!
% 8.37/2.44 # SZS status Theorem
% 8.37/2.44 # SZS output start CNFRefutation
% See solution above
% 8.37/2.44 # Proof object total steps : 132
% 8.37/2.44 # Proof object clause steps : 101
% 8.37/2.44 # Proof object formula steps : 31
% 8.37/2.44 # Proof object conjectures : 15
% 8.37/2.44 # Proof object clause conjectures : 11
% 8.37/2.44 # Proof object formula conjectures : 4
% 8.37/2.44 # Proof object initial clauses used : 31
% 8.37/2.44 # Proof object initial formulas used : 31
% 8.37/2.44 # Proof object generating inferences : 62
% 8.37/2.44 # Proof object simplifying inferences : 38
% 8.37/2.44 # Training examples: 0 positive, 0 negative
% 8.37/2.44 # Parsed axioms : 117
% 8.37/2.44 # Removed by relevancy pruning/SinE : 0
% 8.37/2.44 # Initial clauses : 117
% 8.37/2.44 # Removed in clause preprocessing : 0
% 8.37/2.44 # Initial clauses in saturation : 117
% 8.37/2.44 # Processed clauses : 709
% 8.37/2.44 # ...of these trivial : 65
% 8.37/2.44 # ...subsumed : 63
% 8.37/2.44 # ...remaining for further processing : 581
% 8.37/2.44 # Other redundant clauses eliminated : 0
% 8.37/2.44 # Clauses deleted for lack of memory : 0
% 8.37/2.44 # Backward-subsumed : 16
% 8.37/2.44 # Backward-rewritten : 237
% 8.37/2.44 # Generated clauses : 4234
% 8.37/2.44 # ...of the previous two non-trivial : 3715
% 8.37/2.44 # Contextual simplify-reflections : 7
% 8.37/2.44 # Paramodulations : 4234
% 8.37/2.44 # Factorizations : 0
% 8.37/2.44 # Equation resolutions : 0
% 8.37/2.44 # Propositional unsat checks : 0
% 8.37/2.44 # Propositional unsat check successes : 0
% 8.37/2.44 # Current number of processed clauses : 328
% 8.37/2.44 # Positive orientable unit clauses : 117
% 8.37/2.44 # Positive unorientable unit clauses: 0
% 8.37/2.44 # Negative unit clauses : 3
% 8.37/2.44 # Non-unit-clauses : 208
% 8.37/2.44 # Current number of unprocessed clauses: 1431
% 8.37/2.44 # ...number of literals in the above : 3421
% 8.37/2.44 # Current number of archived formulas : 0
% 8.37/2.44 # Current number of archived clauses : 253
% 8.37/2.44 # Clause-clause subsumption calls (NU) : 13141
% 8.37/2.44 # Rec. Clause-clause subsumption calls : 10313
% 8.37/2.44 # Non-unit clause-clause subsumptions : 67
% 8.37/2.44 # Unit Clause-clause subsumption calls : 11749
% 8.37/2.44 # Rewrite failures with RHS unbound : 0
% 8.37/2.44 # BW rewrite match attempts : 1579
% 8.37/2.44 # BW rewrite match successes : 241
% 8.37/2.44 # Condensation attempts : 0
% 8.37/2.44 # Condensation successes : 0
% 8.37/2.44 # Termbank termtop insertions : 44458
% 8.37/2.44
% 8.37/2.44 # -------------------------------------------------
% 8.37/2.44 # User time : 0.106 s
% 8.37/2.44 # System time : 0.008 s
% 8.37/2.44 # Total time : 0.114 s
% 8.37/2.44 # ...preprocessing : 0.029 s
% 8.37/2.44 # ...main loop : 0.084 s
% 8.37/2.44 # Maximum resident set size: 7620 pages
% 8.37/2.44
%------------------------------------------------------------------------------