TSTP Solution File: GEO282+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO282+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 03:45:06 EDT 2022
% Result : Theorem 8.79s 2.60s
% Output : CNFRefutation 8.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of clauses : 79 ( 43 unt; 0 nHn; 79 RR)
% Number of literals : 227 ( 61 equ; 151 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-3 aty)
% Number of variables : 111 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_98,plain,
( rintersect(X1,X2)
| X2 != X3
| X1 != X4
| X5 != X6
| ~ rcircle(X3)
| ~ rline(X4)
| ~ rpoint(X6)
| ~ rinside(X5,X2)
| ~ ron(X5,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_98) ).
cnf(i_0_27,plain,
rpoint(vd1126),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_27) ).
cnf(i_0_28,plain,
vd1125 = vd1126,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_28) ).
cnf(i_0_44,plain,
( vf(X1,X2) = vf(X1,X3)
| X3 != X4
| X2 != X5
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ rcenter(X1,X6) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_44) ).
cnf(i_0_1,negated_conjecture,
rinside(vd1125,vd1146),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_1) ).
cnf(i_0_4,plain,
rcircle(vd1146),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_4) ).
cnf(i_0_5,plain,
rcenter(vd1123,vd1146),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_5) ).
cnf(i_0_31,plain,
rpoint(vd1130),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_31) ).
cnf(i_0_32,plain,
vd1129 = vd1130,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_32) ).
cnf(i_0_161,plain,
( ron(esk19_3(X1,X2,X3),X1)
| X3 != X4
| X1 != X2
| ~ rcircle(X2)
| ~ rline(X4)
| ~ rintersect(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_161) ).
cnf(i_0_3,plain,
ron(vd1125,vd1145),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_3) ).
cnf(i_0_7,plain,
rline(vd1145),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_7) ).
cnf(i_0_159,plain,
( rpoint(esk19_3(X1,X2,X3))
| X3 != X4
| X1 != X2
| ~ rcircle(X2)
| ~ rline(X4)
| ~ rintersect(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_159) ).
cnf(i_0_46,plain,
( rreal(esk3_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_46) ).
cnf(i_0_47,plain,
( esk3_2(X1,X2) = vf(X1,X2)
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_47) ).
cnf(i_0_6,plain,
ron(vd1129,vd1146),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_6) ).
cnf(i_0_30,plain,
vd1127 = vd1128,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_30) ).
cnf(i_0_8,plain,
vd1127 = vd1123,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_8) ).
cnf(i_0_42,plain,
( rless(vf(X1,X2),vf(X1,X3))
| X3 != X4
| X2 != X5
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rinside(X2,X6)
| ~ ron(X3,X6)
| ~ rcenter(X1,X6) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_42) ).
cnf(i_0_49,plain,
( X1 = X2
| X2 != X3
| X1 != X4
| ~ rreal(X4)
| ~ rreal(X3)
| ~ rless(X2,X1)
| ~ rless(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_49) ).
cnf(i_0_35,plain,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_35) ).
cnf(i_0_29,plain,
rpoint(vd1128),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_29) ).
cnf(i_0_48,plain,
( X1 != X2
| ~ rreal(X2)
| ~ rless(X1,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt4sxe6t/lgb.p',i_0_48) ).
cnf(c_0_185,plain,
( rintersect(X1,X2)
| X2 != X3
| X1 != X4
| X5 != X6
| ~ rcircle(X3)
| ~ rline(X4)
| ~ rpoint(X6)
| ~ rinside(X5,X2)
| ~ ron(X5,X1) ),
i_0_98 ).
cnf(c_0_186,plain,
rpoint(vd1126),
i_0_27 ).
cnf(c_0_187,plain,
vd1125 = vd1126,
i_0_28 ).
cnf(c_0_188,plain,
( vf(X1,X2) = vf(X1,X3)
| X3 != X4
| X2 != X5
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ rcenter(X1,X6) ),
i_0_44 ).
cnf(c_0_189,plain,
( rintersect(X1,X2)
| ~ rinside(X3,X2)
| ~ rcircle(X2)
| ~ rline(X1)
| ~ ron(X3,X1)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_185])])]) ).
cnf(c_0_190,negated_conjecture,
rinside(vd1125,vd1146),
i_0_1 ).
cnf(c_0_191,plain,
rcircle(vd1146),
i_0_4 ).
cnf(c_0_192,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_193,plain,
( vf(X1,X2) = vf(X1,X3)
| ~ rcenter(X1,X4)
| ~ ron(X3,X4)
| ~ ron(X2,X4)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_188])]) ).
cnf(c_0_194,plain,
rcenter(vd1123,vd1146),
i_0_5 ).
cnf(c_0_195,plain,
rpoint(vd1130),
i_0_31 ).
cnf(c_0_196,plain,
vd1129 = vd1130,
i_0_32 ).
cnf(c_0_197,plain,
( ron(esk19_3(X1,X2,X3),X1)
| X3 != X4
| X1 != X2
| ~ rcircle(X2)
| ~ rline(X4)
| ~ rintersect(X3,X1) ),
i_0_161 ).
cnf(c_0_198,negated_conjecture,
( rintersect(X1,vd1146)
| ~ rline(X1)
| ~ ron(vd1125,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]),c_0_192])]) ).
cnf(c_0_199,plain,
ron(vd1125,vd1145),
i_0_3 ).
cnf(c_0_200,plain,
rline(vd1145),
i_0_7 ).
cnf(c_0_201,plain,
( rpoint(esk19_3(X1,X2,X3))
| X3 != X4
| X1 != X2
| ~ rcircle(X2)
| ~ rline(X4)
| ~ rintersect(X3,X1) ),
i_0_159 ).
cnf(c_0_202,plain,
( rreal(esk3_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
i_0_46 ).
cnf(c_0_203,plain,
( esk3_2(X1,X2) = vf(X1,X2)
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
i_0_47 ).
cnf(c_0_204,plain,
( vf(vd1123,X1) = vf(vd1123,X2)
| ~ ron(X2,vd1146)
| ~ ron(X1,vd1146)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_205,plain,
ron(vd1129,vd1146),
i_0_6 ).
cnf(c_0_206,plain,
rpoint(vd1129),
inference(rw,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_207,plain,
( ron(esk19_3(X1,X1,X2),X1)
| ~ rintersect(X2,X1)
| ~ rcircle(X1)
| ~ rline(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_197])]) ).
cnf(c_0_208,plain,
rintersect(vd1145,vd1146),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200])]) ).
cnf(c_0_209,plain,
( rpoint(esk19_3(X1,X1,X2))
| ~ rintersect(X2,X1)
| ~ rcircle(X1)
| ~ rline(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_201])]) ).
cnf(c_0_210,plain,
vd1127 = vd1128,
i_0_30 ).
cnf(c_0_211,plain,
vd1127 = vd1123,
i_0_8 ).
cnf(c_0_212,plain,
( rless(vf(X1,X2),vf(X1,X3))
| X3 != X4
| X2 != X5
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rinside(X2,X6)
| ~ ron(X3,X6)
| ~ rcenter(X1,X6) ),
i_0_42 ).
cnf(c_0_213,plain,
( X1 = X2
| X2 != X3
| X1 != X4
| ~ rreal(X4)
| ~ rreal(X3)
| ~ rless(X2,X1)
| ~ rless(X1,X2) ),
i_0_49 ).
cnf(c_0_214,plain,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
i_0_35 ).
cnf(c_0_215,plain,
( rreal(esk3_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_202])]) ).
cnf(c_0_216,plain,
( esk3_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_203])]) ).
cnf(c_0_217,plain,
( vf(vd1123,X1) = vf(vd1123,vd1129)
| ~ ron(X1,vd1146)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206])]) ).
cnf(c_0_218,plain,
ron(esk19_3(vd1146,vd1146,vd1145),vd1146),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_191]),c_0_200])]) ).
cnf(c_0_219,plain,
rpoint(esk19_3(vd1146,vd1146,vd1145)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_208]),c_0_191]),c_0_200])]) ).
cnf(c_0_220,plain,
rpoint(vd1128),
i_0_29 ).
cnf(c_0_221,plain,
vd1128 = vd1123,
inference(rw,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_222,plain,
( rless(vf(X1,X2),vf(X1,X3))
| ~ rinside(X2,X4)
| ~ rcenter(X1,X4)
| ~ ron(X3,X4)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_212])]) ).
cnf(c_0_223,plain,
( X1 = X2
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X2,X1)
| ~ rless(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_213])]) ).
cnf(c_0_224,plain,
rless(vf(vd1123,vd1129),vf(vd1123,vd1125)),
inference(rw,[status(thm)],[c_0_214,c_0_211]) ).
cnf(c_0_225,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_226,plain,
vf(vd1123,esk19_3(vd1146,vd1146,vd1145)) = vf(vd1123,vd1129),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219])]) ).
cnf(c_0_227,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_228,plain,
( rless(vf(vd1123,X1),vf(vd1123,X2))
| ~ rinside(X1,vd1146)
| ~ ron(X2,vd1146)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_222,c_0_194]) ).
cnf(c_0_229,plain,
( vf(vd1123,vd1129) = vf(vd1123,vd1125)
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1129))
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1129)) ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_230,plain,
rreal(vf(vd1123,vd1129)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]),c_0_219])]) ).
cnf(c_0_231,negated_conjecture,
( rless(vf(vd1123,vd1125),vf(vd1123,X1))
| ~ ron(X1,vd1146)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_190]),c_0_192])]) ).
cnf(c_0_232,plain,
( vf(vd1123,vd1129) = vf(vd1123,vd1125)
| ~ rreal(vf(vd1123,vd1125))
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1129)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_230])]) ).
cnf(c_0_233,plain,
rless(vf(vd1123,vd1125),vf(vd1123,vd1129)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_218]),c_0_226]),c_0_219])]) ).
cnf(c_0_234,plain,
( vf(vd1123,vd1129) = vf(vd1123,vd1125)
| ~ rreal(vf(vd1123,vd1125)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_233])]) ).
cnf(c_0_235,plain,
( X1 != X2
| ~ rreal(X2)
| ~ rless(X1,X1) ),
i_0_48 ).
cnf(c_0_236,plain,
vf(vd1123,vd1129) = vf(vd1123,vd1125),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_225]),c_0_227]),c_0_192])]) ).
cnf(c_0_237,plain,
( ~ rreal(X1)
| ~ rless(X1,X1) ),
inference(er,[status(thm)],[c_0_235]) ).
cnf(c_0_238,plain,
rless(vf(vd1123,vd1125),vf(vd1123,vd1125)),
inference(rw,[status(thm)],[c_0_233,c_0_236]) ).
cnf(c_0_239,plain,
rreal(vf(vd1123,vd1125)),
inference(rw,[status(thm)],[c_0_230,c_0_236]) ).
cnf(c_0_240,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO282+1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 14:09:09 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 # ENIGMATIC: Selected complete mode:
% 8.79/2.60 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.79/2.60 # No SInE strategy applied
% 8.79/2.60 # Trying AutoSched0 for 150 seconds
% 8.79/2.60 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 8.79/2.60 # and selection function SelectCQArNTNpEqFirst.
% 8.79/2.60 #
% 8.79/2.60 # Preprocessing time : 0.015 s
% 8.79/2.60 # Presaturation interreduction done
% 8.79/2.60
% 8.79/2.60 # Proof found!
% 8.79/2.60 # SZS status Theorem
% 8.79/2.60 # SZS output start CNFRefutation
% See solution above
% 8.79/2.60 # Training examples: 0 positive, 0 negative
% 8.79/2.60
% 8.79/2.60 # -------------------------------------------------
% 8.79/2.60 # User time : 0.060 s
% 8.79/2.60 # System time : 0.007 s
% 8.79/2.60 # Total time : 0.067 s
% 8.79/2.60 # Maximum resident set size: 7120 pages
% 8.79/2.60
%------------------------------------------------------------------------------