%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO540+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:28:25 PM UTC 2026
% Result : Satisfiable 0.17s 0.48s
% Output : Saturation 0.17s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_99ERROR: Could not build tree for root c_0_192ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_192,plain,
( ~ eqangle(X1,X2,X3,X2,X1,X4,X3,X5)
| coll(X1,X3,X2)
| eqangle(X1,X2,X3,X2,X1,esk5_4(X1,X3,X2,X4),X3,esk5_4(X1,X3,X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_99]),
[final] ).
cnf(c_0_193,plain,
( ~ cong(X6,X1,X6,X2)
| ~ cong(X5,X1,X5,X4)
| ~ circle(X5,X1,X2,X3)
| X5 = X6
| coll(esk14_6(X1,X2,X3,X4,X5,X6),X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_100]),
[final] ).
cnf(c_0_194,plain,
( ~ cong(X6,X1,X6,X2)
| ~ cong(X5,X1,X5,X4)
| ~ circle(X5,X1,X2,X3)
| X5 = X6
| coll(esk13_6(X1,X2,X3,X4,X5,X6),X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_100]),
[final] ).
cnf(c_0_195,plain,
( ~ cong(X6,X1,X6,X2)
| ~ cong(X5,X1,X5,X4)
| ~ circle(X5,X1,X2,X3)
| X5 = X6
| cong(esk14_6(X1,X2,X3,X4,X5,X6),X6,X6,X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]),
[final] ).
cnf(c_0_196,plain,
( ~ cong(X6,X1,X6,X2)
| ~ cong(X5,X1,X5,X4)
| ~ circle(X5,X1,X2,X3)
| X5 = X6
| cong(esk13_6(X1,X2,X3,X4,X5,X6),X6,X6,X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]),
[final] ).
cnf(c_0_197,plain,
( ~ eqangle(X1,X3,X2,X3,X4,X6,X5,X6)
| ~ eqangle(X1,X2,X2,X3,X4,X5,X5,X6)
| simtri(X1,X2,X3,X4,X5,X6)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_101]),
[final] ).
cnf(c_0_198,plain,
( ~ eqratio(X5,X6,X7,X8,X9,X10,X11,X12)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| eqratio(X1,X2,X3,X4,X9,X10,X11,X12) ),
inference(split_conjunct,[status(thm)],[c_0_102]),
[final] ).
cnf(c_0_199,plain,
( ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X1,X2,X3,X4,X9,X10,X11,X12) ),
inference(split_conjunct,[status(thm)],[c_0_103]),
[final] ).
cnf(c_0_200,plain,
( ~ coll(X3,X4,X5)
| ~ para(X1,X3,X2,X4)
| ~ para(X1,X3,X5,X6)
| ~ midp(X6,X1,X2)
| coll(esk8_6(X1,X2,X3,X4,X5,X6),X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_104]),
[final] ).
cnf(c_0_201,plain,
( ~ coll(X3,X4,X5)
| ~ para(X1,X3,X2,X4)
| ~ para(X1,X3,X5,X6)
| ~ midp(X6,X1,X2)
| coll(esk8_6(X1,X2,X3,X4,X5,X6),X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_104]),
[final] ).
cnf(c_0_202,plain,
( ~ coll(X6,X1,X2)
| ~ coll(X5,X2,X4)
| ~ coll(X5,X1,X3)
| ~ para(X1,X2,X3,X4)
| coll(esk20_6(X1,X2,X3,X4,X5,X6),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_105]),
[final] ).
cnf(c_0_203,plain,
( ~ coll(X2,X3,X4)
| ~ coll(X1,X4,X6)
| ~ coll(X1,X3,X5)
| ~ para(X3,X4,X5,X6)
| coll(X1,X2,esk20_6(X3,X4,X5,X6,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_105]),
[final] ).
cnf(c_0_204,plain,
( ~ eqangle(X4,X3,X2,X3,X4,X1,X2,X5)
| coll(X4,X2,X3)
| cyclic(X1,X2,X3,esk5_4(X4,X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_99]),
[final] ).
cnf(c_0_205,plain,
( ~ midp(X5,X1,X2)
| ~ para(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X4)
| circle(esk15_3(X1,X2,X3),X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_106]),
[final] ).
cnf(c_0_206,plain,
( ~ eqangle(X1,X3,X3,X4,X3,X4,X3,X2)
| ~ perp(X3,X4,X1,X2)
| coll(esk3_4(X1,X2,X3,X4),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_107]),
[final] ).
cnf(c_0_207,plain,
( ~ eqangle(X1,X3,X3,X4,X3,X4,X3,X2)
| ~ cong(X3,X1,X3,X2)
| coll(esk2_4(X1,X2,X3,X4),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_108]),
[final] ).
cnf(c_0_208,plain,
( ~ eqangle(X4,X3,X2,X3,X2,X3,X1,X3)
| ~ perp(X3,X2,X2,X1)
| coll(esk1_4(X1,X2,X3,X4),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_109]),
[final] ).
cnf(c_0_209,plain,
( ~ eqangle(X4,X3,X2,X3,X2,X3,X1,X3)
| ~ perp(X3,X2,X2,X1)
| coll(esk1_4(X1,X2,X3,X4),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_109]),
[final] ).
cnf(c_0_210,plain,
( ~ eqangle(X2,X3,X3,X4,X3,X4,X3,X1)
| ~ perp(X3,X4,X2,X1)
| coll(X1,X2,esk3_4(X2,X1,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_107]),
[final] ).
cnf(c_0_211,plain,
( ~ contri(X4,X5,X6,X7,X8,X9)
| ~ contri(X1,X2,X3,X4,X5,X6)
| contri(X1,X2,X3,X7,X8,X9) ),
inference(split_conjunct,[status(thm)],[c_0_110]),
[final] ).
cnf(c_0_212,plain,
( ~ eqangle(X2,X3,X3,X4,X3,X4,X3,X1)
| ~ cong(X3,X2,X3,X1)
| coll(X1,X2,esk2_4(X2,X1,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_108]),
[final] ).
cnf(c_0_213,plain,
( ~ simtri(X4,X5,X6,X7,X8,X9)
| ~ simtri(X1,X2,X3,X4,X5,X6)
| simtri(X1,X2,X3,X7,X8,X9) ),
inference(split_conjunct,[status(thm)],[c_0_111]),
[final] ).
cnf(c_0_214,plain,
( ~ perp(X1,X2,X2,X5)
| ~ circle(X1,X2,X3,X4)
| eqangle(X2,X5,X2,X3,X4,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_112]),
[final] ).
cnf(c_0_215,plain,
( ~ perp(X1,X2,X2,X5)
| ~ cong(X5,X3,X5,X4)
| para(esk9_5(X1,X2,X3,X4,X5),X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_113]),
[final] ).
cnf(c_0_216,plain,
( ~ perp(X3,X1,X1,X5)
| ~ cong(X5,X2,X5,X4)
| cong(X1,X2,X1,esk9_5(X3,X1,X2,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_113]),
[final] ).
cnf(c_0_217,plain,
( ~ perp(X3,X4,X4,X1)
| ~ cong(X1,X2,X1,X5)
| cong(X1,X2,X1,esk9_5(X3,X4,X2,X5,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_113]),
[final] ).
cnf(c_0_218,plain,
( ~ coll(X2,X4,X5)
| ~ perp(X1,X3,X3,X2)
| perp(esk17_5(X1,X2,X3,X4,X5),X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_114]),
[final] ).
cnf(c_0_219,plain,
( ~ perp(X1,X4,X2,X3)
| ~ perp(X2,X4,X1,X3)
| perp(X1,esk11_3(X2,X1,X3),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]),
[final] ).
cnf(c_0_220,plain,
( ~ perp(X2,X4,X1,X3)
| ~ perp(X1,X4,X2,X3)
| perp(X1,esk10_3(X1,X2,X3),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]),
[final] ).
cnf(c_0_221,plain,
( ~ coll(X5,X2,X4)
| ~ coll(X5,X1,X3)
| ~ para(X1,X2,X3,X4)
| eqratio(X5,X1,X1,X3,X5,X2,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_116]),
[final] ).
cnf(c_0_222,plain,
( ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| eqratio(X1,X2,X5,X6,X3,X4,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_117]),
[final] ).
cnf(c_0_223,plain,
( ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| eqratio(X2,X1,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_118]),
[final] ).
cnf(c_0_224,plain,
( ~ midp(X5,X2,X4)
| ~ perp(X3,X1,X3,X4)
| ~ perp(X1,X2,X1,X3)
| midp(esk18_3(X1,X2,X3),X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]),
[final] ).
cnf(c_0_225,plain,
( ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| eqratio(X3,X4,X1,X2,X7,X8,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_120]),
[final] ).
cnf(c_0_226,plain,
( ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| eqratio(X5,X6,X7,X8,X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_121]),
[final] ).
cnf(c_0_227,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_122]),
[final] ).
cnf(c_0_228,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X2,X1,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_123]),
[final] ).
cnf(c_0_229,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_124]),
[final] ).
cnf(c_0_230,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_125]),
[final] ).
cnf(c_0_231,plain,
( ~ eqangle(X3,X1,X3,X2,X6,X4,X6,X5)
| ~ cyclic(X1,X2,X3,X6)
| ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X4)
| cong(X1,X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_126]),
[final] ).
cnf(c_0_232,plain,
( ~ cong(X1,X2,X1,X5)
| ~ cong(X1,X2,X1,X4)
| ~ cong(X1,X2,X1,X3)
| cyclic(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_127]),
[final] ).
cnf(c_0_233,plain,
( ~ cyclic(X1,X3,X2,X4)
| ~ cong(X1,X4,X3,X4)
| ~ cong(X1,X2,X3,X2)
| perp(X2,X1,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_128]),
[final] ).
cnf(c_0_234,plain,
( ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2)
| para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_129]),
[final] ).
cnf(c_0_235,plain,
( ~ midp(X5,X3,X4)
| ~ circle(X1,X2,X3,X4)
| eqangle(X2,X3,X2,X4,X1,X3,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_130]),
[final] ).
cnf(c_0_236,plain,
( ~ coll(X2,X4,X5)
| ~ perp(X1,X3,X3,X2)
| coll(esk17_5(X1,X2,X3,X4,X5),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_114]),
[final] ).
cnf(c_0_237,plain,
( ~ perp(X2,X4,X1,X3)
| ~ perp(X1,X4,X2,X3)
| coll(esk11_3(X1,X2,X3),X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]),
[final] ).
cnf(c_0_238,plain,
( ~ cong(X3,X2,X3,X1)
| ~ perp(X3,X4,X2,X1)
| coll(X1,X2,esk4_4(X2,X1,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_131]),
[final] ).
cnf(c_0_239,plain,
( ~ cyclic(X1,X3,X2,X4)
| ~ perp(X1,X2,X2,X3)
| circle(esk16_3(X1,X3,X2),X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_132]),
[final] ).
cnf(c_0_240,plain,
( ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2)
| para(esk6_6(X1,X2,X3,X4,X5,X6),X6,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_129]),
[final] ).
cnf(c_0_241,plain,
( ~ perp(X2,X4,X1,X3)
| ~ perp(X1,X4,X2,X3)
| coll(esk10_3(X1,X2,X3),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]),
[final] ).
cnf(c_0_242,plain,
( ~ simtri(X1,X2,X3,X4,X5,X6)
| eqangle(X1,X2,X2,X3,X4,X5,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_133]),
[final] ).
cnf(c_0_243,plain,
( ~ eqangle(X2,X5,X2,X3,X4,X2,X4,X3)
| ~ circle(X1,X2,X3,X4)
| perp(X1,X2,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_134]),
[final] ).
cnf(c_0_244,plain,
( ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5)
| ~ coll(X5,X3,X4)
| ~ circle(X1,X2,X3,X4)
| midp(X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_135]),
[final] ).
cnf(c_0_245,plain,
( ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2)
| midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_129]),
[final] ).
cnf(c_0_246,plain,
( ~ para(X2,X5,X3,X4)
| ~ para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_136]),
[final] ).
cnf(c_0_247,plain,
( ~ para(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X4)
| eqangle(X1,X4,X3,X4,X3,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_137]),
[final] ).
cnf(c_0_248,plain,
( ~ eqangle(X1,X2,X3,X4,X3,X4,X1,X2)
| perp(X1,X2,X3,X4)
| para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_138]),
[final] ).
cnf(c_0_249,plain,
( ~ cong(X3,X1,X3,X2)
| ~ perp(X3,X4,X1,X2)
| coll(esk4_4(X1,X2,X3,X4),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_131]),
[final] ).
cnf(c_0_250,plain,
( ~ cong(X1,X2,X4,X5)
| ~ simtri(X1,X2,X3,X4,X5,X6)
| contri(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_139]),
[final] ).
cnf(c_0_251,plain,
( ~ perp(X2,X1,X1,X3)
| ~ cong(X1,X2,X1,X3)
| cong(X1,X2,X1,esk19_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_140]),
[final] ).
cnf(c_0_252,plain,
( ~ eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| cong(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_141]),
[final] ).
cnf(c_0_253,plain,
( ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| cyclic(X2,X3,X1,X4)
| coll(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_142]),
[final] ).
cnf(c_0_254,plain,
( ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_143]),
[final] ).
cnf(c_0_255,plain,
( ~ cong(X1,X2,X1,X4)
| ~ cong(X1,X2,X1,X3)
| circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_144]),
[final] ).
cnf(c_0_256,plain,
( ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3)
| eqratio(X1,X2,X2,X3,X4,X5,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_145]),
[final] ).
cnf(c_0_257,plain,
( ~ cong(X3,X4,X5,X6)
| ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_146]),
[final] ).
cnf(c_0_258,plain,
( ~ perp(X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4)
| perp(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_147]),
[final] ).
cnf(c_0_259,plain,
( ~ contri(X1,X2,X3,X4,X5,X6)
| contri(X1,X3,X2,X4,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_148]),
[final] ).
cnf(c_0_260,plain,
( ~ contri(X1,X2,X3,X4,X5,X6)
| contri(X2,X1,X3,X5,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_149]),
[final] ).
cnf(c_0_261,plain,
( ~ contri(X1,X2,X3,X4,X5,X6)
| contri(X4,X5,X6,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_150]),
[final] ).
cnf(c_0_262,plain,
( ~ simtri(X1,X2,X3,X4,X5,X6)
| simtri(X1,X3,X2,X4,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_151]),
[final] ).
cnf(c_0_263,plain,
( ~ cong(X1,X4,X3,X4)
| ~ cong(X1,X2,X3,X2)
| perp(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_152]),
[final] ).
cnf(c_0_264,plain,
( ~ perp(X3,X4,X5,X6)
| ~ perp(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_153]),
[final] ).
cnf(c_0_265,plain,
( ~ para(X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_154]),
[final] ).
cnf(c_0_266,plain,
( ~ coll(X4,X2,X5)
| ~ para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_155]),
[final] ).
cnf(c_0_267,plain,
( ~ simtri(X1,X2,X3,X4,X5,X6)
| eqratio(X1,X2,X1,X3,X4,X5,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_156]),
[final] ).
cnf(c_0_268,plain,
( ~ coll(X6,X2,X3)
| ~ coll(X5,X2,X3)
| ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3)
| midp(esk7_2(X2,X7),X2,X7) ),
inference(split_conjunct,[status(thm)],[c_0_157]),
[final] ).
cnf(c_0_269,plain,
( ~ simtri(X1,X2,X3,X4,X5,X6)
| simtri(X2,X1,X3,X5,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_158]),
[final] ).
cnf(c_0_270,plain,
( ~ simtri(X1,X2,X3,X4,X5,X6)
| simtri(X4,X5,X6,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_159]),
[final] ).
cnf(c_0_271,plain,
( ~ perp(X1,X2,X2,X3)
| ~ cong(X2,X1,X2,X3)
| coll(X1,X2,esk19_3(X1,X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_140]),
[final] ).
cnf(c_0_272,plain,
( ~ midp(X4,X1,X3)
| ~ perp(X1,X2,X2,X3)
| cong(X1,X4,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_160]),
[final] ).
cnf(c_0_273,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_161]),
[final] ).
cnf(c_0_274,plain,
( ~ perp(X4,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X4,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_162]),
[final] ).
cnf(c_0_275,plain,
( ~ cong(X5,X6,X7,X8)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_163]),
[final] ).
cnf(c_0_276,plain,
( ~ perp(X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_164]),
[final] ).
cnf(c_0_277,plain,
( ~ para(X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_165]),
[final] ).
cnf(c_0_278,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_166]),
[final] ).
cnf(c_0_279,plain,
( ~ coll(X1,X4,X3)
| ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| cyclic(X2,X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_167]),
[final] ).
cnf(c_0_280,plain,
( ~ cyclic(X1,X2,X3,X4)
| eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_168]),
[final] ).
cnf(c_0_281,plain,
( ~ midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| para(X1,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_169]),
[final] ).
cnf(c_0_282,plain,
( ~ midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| para(X2,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_170]),
[final] ).
cnf(c_0_283,plain,
( ~ coll(X1,X2,X4)
| ~ circle(X1,X2,X3,X4)
| perp(X2,X3,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_171]),
[final] ).
cnf(c_0_284,plain,
( ~ circle(X1,X2,X3,X4)
| perp(esk12_4(X2,X3,X4,X1),X2,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_172]),
[final] ).
cnf(c_0_285,plain,
( ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_173]),
[final] ).
cnf(c_0_286,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_174]),
[final] ).
cnf(c_0_287,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_175]),
[final] ).
cnf(c_0_288,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_176]),
[final] ).
cnf(c_0_289,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_177]),
[final] ).
cnf(c_0_290,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_178]),
[final] ).
cnf(c_0_291,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_179]),
[final] ).
cnf(c_0_292,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_180]),
[final] ).
cnf(c_0_293,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_181]),
[final] ).
cnf(c_0_294,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_182]),
[final] ).
cnf(c_0_295,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_183]),
[final] ).
cnf(c_0_296,plain,
( ~ para(X1,X2,X3,X4)
| para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_184]),
[final] ).
cnf(c_0_297,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_185]),
[final] ).
cnf(c_0_298,plain,
( ~ contri(X1,X2,X3,X4,X5,X6)
| cong(X1,X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_186]),
[final] ).
cnf(c_0_299,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_187]),
[final] ).
cnf(c_0_300,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_188]),
[final] ).
cnf(c_0_301,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_189]),
[final] ).
cnf(c_0_302,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_190]),
[final] ).
cnf(c_0_303,plain,
( ~ midp(X1,X2,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_191]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO540+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 17:16:50 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.48 % Version: 3.5.1
% 0.17/0.48 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.48 % Starting sh5l with 300s (1) cores
% 0.17/0.48 % new_bool_1 with pid 1992965 completed with status 9
% 0.17/0.48 % new_bool_3 with pid 1992964 completed with status 9
% 0.17/0.48 % sh5l with pid 1992966 completed with status 9
% 0.17/0.48 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1992963 completed with status 1
% 0.17/0.48 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/0.48 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.48 % No SInE strategy applied
% 0.17/0.48 % Search class: FGUSF-FFLF33-SFFFFFNN
% 0.17/0.48 % partial match(1): FGUSF-FFLF32-SFFFFFNN
% 0.17/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.48 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.17/0.48 % Starting new_bool_3 with 136s (1) cores
% 0.17/0.48 % Starting new_bool_1 with 136s (1) cores
% 0.17/0.48 % new_bool_1 with pid 1992991 completed with status 1
% 0.17/0.48 % Result found by new_bool_1
% 0.17/0.48 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.48 % No SInE strategy applied
% 0.17/0.48 % Search class: FGUSF-FFLF33-SFFFFFNN
% 0.17/0.48 % partial match(1): FGUSF-FFLF32-SFFFFFNN
% 0.17/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.48 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.17/0.48 % Starting new_bool_3 with 136s (1) cores
% 0.17/0.48 % Starting new_bool_1 with 136s (1) cores
% 0.17/0.48 % Preprocessing time : 0.003 s
% 0.17/0.48 % Presaturation interreduction done
% 0.17/0.48
% 0.17/0.48 % No proof found!
% 0.17/0.48 % SZS status Satisfiable
% 0.17/0.48 % SZS output start Saturation
% See solution above
% 0.17/0.48 % Parsed axioms : 94
% 0.17/0.48 % Removed by relevancy pruning/SinE : 0
% 0.17/0.48 % Initial clauses : 113
% 0.17/0.48 % Removed in clause preprocessing : 0
% 0.17/0.48 % Initial clauses in saturation : 113
% 0.17/0.48 % Processed clauses : 225
% 0.17/0.48 % ...of these trivial : 0
% 0.17/0.48 % ...subsumed : 1
% 0.17/0.48 % ...remaining for further processing : 224
% 0.17/0.48 % Other redundant clauses eliminated : 0
% 0.17/0.48 % Clauses deleted for lack of memory : 0
% 0.17/0.48 % Backward-subsumed : 0
% 0.17/0.48 % Backward-rewritten : 0
% 0.17/0.48 % Generated clauses : 0
% 0.17/0.48 % ...of the previous two non-redundant : 0
% 0.17/0.48 % ...aggressively subsumed : 0
% 0.17/0.48 % Contextual simplify-reflections : 0
% 0.17/0.48 % Paramodulations : 0
% 0.17/0.48 % Factorizations : 0
% 0.17/0.48 % NegExts : 0
% 0.17/0.48 % Equation resolutions : 0
% 0.17/0.48 % Disequality decompositions : 0
% 0.17/0.48 % Total rewrite steps : 0
% 0.17/0.48 % ...of those cached : 0
% 0.17/0.48 % Propositional unsat checks : 0
% 0.17/0.48 % Propositional check models : 0
% 0.17/0.48 % Propositional check unsatisfiable : 0
% 0.17/0.48 % Propositional clauses : 0
% 0.17/0.48 % Propositional clauses after purity: 0
% 0.17/0.48 % Propositional unsat core size : 0
% 0.17/0.48 % Propositional preprocessing time : 0.000
% 0.17/0.48 % Propositional encoding time : 0.000
% 0.17/0.48 % Propositional solver time : 0.000
% 0.17/0.48 % Success case prop preproc time : 0.000
% 0.17/0.48 % Success case prop encoding time : 0.000
% 0.17/0.48 % Success case prop solver time : 0.000
% 0.17/0.48 % Current number of processed clauses : 112
% 0.17/0.48 % Positive orientable unit clauses : 0
% 0.17/0.48 % Positive unorientable unit clauses: 0
% 0.17/0.48 % Negative unit clauses : 0
% 0.17/0.48 % Non-unit-clauses : 112
% 0.17/0.48 % Current number of unprocessed clauses: 0
% 0.17/0.48 % ...number of literals in the above : 0
% 0.17/0.48 % Current number of archived formulas : 0
% 0.17/0.48 % Current number of archived clauses : 112
% 0.17/0.48 % Clause-clause subsumption calls (NU) : 2643
% 0.17/0.48 % Rec. Clause-clause subsumption calls : 1938
% 0.17/0.48 % Non-unit clause-clause subsumptions : 1
% 0.17/0.48 % Unit Clause-clause subsumption calls : 0
% 0.17/0.48 % Rewrite failures with RHS unbound : 0
% 0.17/0.48 % BW rewrite match attempts : 0
% 0.17/0.48 % BW rewrite match successes : 0
% 0.17/0.48 % Condensation attempts : 0
% 0.17/0.48 % Condensation successes : 0
% 0.17/0.48 % Termbank termtop insertions : 13480
% 0.17/0.48 % Search garbage collected termcells : 2703
% 0.17/0.48
% 0.17/0.48 % -------------------------------------------------
% 0.17/0.48 % User time : 0.020 s
% 0.17/0.48 % System time : 0.005 s
% 0.17/0.48 % Total time : 0.025 s
% 0.17/0.48 % Maximum resident set size: 4304 pages
% 0.17/0.48
% 0.17/0.48 % -------------------------------------------------
% 0.17/0.48 % User time : 0.108 s
% 0.17/0.48 % System time : 0.064 s
% 0.17/0.48 % Total time : 0.172 s
% 0.17/0.48 % Maximum resident set size: 4864 pages
% 0.17/0.48 % E exiting
%------------------------------------------------------------------------------