TSTP Solution File: GEO285+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO285+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 03:45:07 EDT 2022
% Result : Theorem 10.03s 3.02s
% Output : CNFRefutation 10.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of clauses : 82 ( 43 unt; 0 nHn; 82 RR)
% Number of literals : 240 ( 68 equ; 161 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 : 121 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_109,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-1be7fizt/lgb.p',i_0_109) ).
cnf(i_0_24,plain,
rpoint(vd1126),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_24) ).
cnf(i_0_25,plain,
vd1125 = vd1126,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_25) ).
cnf(i_0_45,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-1be7fizt/lgb.p',i_0_45) ).
cnf(i_0_1,negated_conjecture,
rinside(vd1125,vd1152),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_1) ).
cnf(i_0_4,plain,
rcircle(vd1152),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_4) ).
cnf(i_0_29,plain,
vd1129 = vd1130,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_29) ).
cnf(i_0_8,plain,
vd1129 = vd1123,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_8) ).
cnf(i_0_5,plain,
rcenter(vd1123,vd1152),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_5) ).
cnf(i_0_26,plain,
rpoint(vd1128),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_26) ).
cnf(i_0_27,plain,
vd1127 = vd1128,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_27) ).
cnf(i_0_104,plain,
( ron(esk11_3(X1,X2,X3),X1)
| X3 != X4
| X1 != X2
| ~ rcircle(X2)
| ~ rline(X4)
| ~ rintersect(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_104) ).
cnf(i_0_3,plain,
ron(vd1125,vd1151),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_3) ).
cnf(i_0_7,plain,
rline(vd1151),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_7) ).
cnf(i_0_102,plain,
( rpoint(esk11_3(X1,X2,X3))
| X3 != X4
| X1 != X2
| ~ rcircle(X2)
| ~ rline(X4)
| ~ rintersect(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_102) ).
cnf(i_0_32,plain,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_32) ).
cnf(i_0_287,plain,
( vf(X1,X2) = vf(X2,X1)
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_287) ).
cnf(i_0_28,plain,
rpoint(vd1130),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_28) ).
cnf(i_0_78,plain,
( rreal(esk8_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_78) ).
cnf(i_0_79,plain,
( esk8_2(X1,X2) = vf(X1,X2)
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_79) ).
cnf(i_0_6,plain,
ron(vd1127,vd1152),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_6) ).
cnf(i_0_43,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-1be7fizt/lgb.p',i_0_43) ).
cnf(i_0_81,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-1be7fizt/lgb.p',i_0_81) ).
cnf(i_0_80,plain,
( X1 != X2
| ~ rreal(X2)
| ~ rless(X1,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1be7fizt/lgb.p',i_0_80) ).
cnf(c_0_312,plain,
( rintersect(X1,X2)
| X2 != X3
| X1 != X4
| X5 != X6
| ~ rcircle(X3)
| ~ rline(X4)
| ~ rpoint(X6)
| ~ rinside(X5,X2)
| ~ ron(X5,X1) ),
i_0_109 ).
cnf(c_0_313,plain,
rpoint(vd1126),
i_0_24 ).
cnf(c_0_314,plain,
vd1125 = vd1126,
i_0_25 ).
cnf(c_0_315,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_45 ).
cnf(c_0_316,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_312])])]) ).
cnf(c_0_317,negated_conjecture,
rinside(vd1125,vd1152),
i_0_1 ).
cnf(c_0_318,plain,
rcircle(vd1152),
i_0_4 ).
cnf(c_0_319,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[c_0_313,c_0_314]) ).
cnf(c_0_320,plain,
vd1129 = vd1130,
i_0_29 ).
cnf(c_0_321,plain,
vd1129 = vd1123,
i_0_8 ).
cnf(c_0_322,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_315])]) ).
cnf(c_0_323,plain,
rcenter(vd1123,vd1152),
i_0_5 ).
cnf(c_0_324,plain,
rpoint(vd1128),
i_0_26 ).
cnf(c_0_325,plain,
vd1127 = vd1128,
i_0_27 ).
cnf(c_0_326,plain,
( ron(esk11_3(X1,X2,X3),X1)
| X3 != X4
| X1 != X2
| ~ rcircle(X2)
| ~ rline(X4)
| ~ rintersect(X3,X1) ),
i_0_104 ).
cnf(c_0_327,negated_conjecture,
( rintersect(X1,vd1152)
| ~ rline(X1)
| ~ ron(vd1125,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_318]),c_0_319])]) ).
cnf(c_0_328,plain,
ron(vd1125,vd1151),
i_0_3 ).
cnf(c_0_329,plain,
rline(vd1151),
i_0_7 ).
cnf(c_0_330,plain,
( rpoint(esk11_3(X1,X2,X3))
| X3 != X4
| X1 != X2
| ~ rcircle(X2)
| ~ rline(X4)
| ~ rintersect(X3,X1) ),
i_0_102 ).
cnf(c_0_331,plain,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
i_0_32 ).
cnf(c_0_332,plain,
( vf(X1,X2) = vf(X2,X1)
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
i_0_287 ).
cnf(c_0_333,plain,
rpoint(vd1130),
i_0_28 ).
cnf(c_0_334,plain,
vd1130 = vd1123,
inference(rw,[status(thm)],[c_0_320,c_0_321]) ).
cnf(c_0_335,plain,
( rreal(esk8_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
i_0_78 ).
cnf(c_0_336,plain,
( esk8_2(X1,X2) = vf(X1,X2)
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
i_0_79 ).
cnf(c_0_337,plain,
( vf(vd1123,X1) = vf(vd1123,X2)
| ~ ron(X2,vd1152)
| ~ ron(X1,vd1152)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_322,c_0_323]) ).
cnf(c_0_338,plain,
ron(vd1127,vd1152),
i_0_6 ).
cnf(c_0_339,plain,
rpoint(vd1127),
inference(rw,[status(thm)],[c_0_324,c_0_325]) ).
cnf(c_0_340,plain,
( ron(esk11_3(X1,X1,X2),X1)
| ~ rintersect(X2,X1)
| ~ rcircle(X1)
| ~ rline(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_326])]) ).
cnf(c_0_341,plain,
rintersect(vd1151,vd1152),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_329])]) ).
cnf(c_0_342,plain,
( rpoint(esk11_3(X1,X1,X2))
| ~ rintersect(X2,X1)
| ~ rcircle(X1)
| ~ rline(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_330])]) ).
cnf(c_0_343,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_43 ).
cnf(c_0_344,plain,
( X1 = X2
| X2 != X3
| X1 != X4
| ~ rreal(X4)
| ~ rreal(X3)
| ~ rless(X2,X1)
| ~ rless(X1,X2) ),
i_0_81 ).
cnf(c_0_345,plain,
rless(vf(vd1127,vd1123),vf(vd1123,vd1125)),
inference(rw,[status(thm)],[c_0_331,c_0_321]) ).
cnf(c_0_346,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_332])]) ).
cnf(c_0_347,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_348,plain,
( rreal(esk8_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_335])]) ).
cnf(c_0_349,plain,
( esk8_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_336])]) ).
cnf(c_0_350,plain,
( vf(vd1123,X1) = vf(vd1123,vd1127)
| ~ ron(X1,vd1152)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_339])]) ).
cnf(c_0_351,plain,
ron(esk11_3(vd1152,vd1152,vd1151),vd1152),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_341]),c_0_318]),c_0_329])]) ).
cnf(c_0_352,plain,
rpoint(esk11_3(vd1152,vd1152,vd1151)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_341]),c_0_318]),c_0_329])]) ).
cnf(c_0_353,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_343])]) ).
cnf(c_0_354,plain,
( X1 = X2
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X2,X1)
| ~ rless(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_344])]) ).
cnf(c_0_355,plain,
rless(vf(vd1123,vd1127),vf(vd1123,vd1125)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_346]),c_0_347]),c_0_339])]) ).
cnf(c_0_356,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_348,c_0_349]) ).
cnf(c_0_357,plain,
vf(vd1123,esk11_3(vd1152,vd1152,vd1151)) = vf(vd1123,vd1127),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_352])]) ).
cnf(c_0_358,plain,
( rless(vf(vd1123,X1),vf(vd1123,X2))
| ~ rinside(X1,vd1152)
| ~ ron(X2,vd1152)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_353,c_0_323]) ).
cnf(c_0_359,plain,
( vf(vd1123,vd1125) = vf(vd1123,vd1127)
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1127))
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1127)) ),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_360,plain,
rreal(vf(vd1123,vd1127)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_357]),c_0_347]),c_0_352])]) ).
cnf(c_0_361,negated_conjecture,
( rless(vf(vd1123,vd1125),vf(vd1123,X1))
| ~ ron(X1,vd1152)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_317]),c_0_319])]) ).
cnf(c_0_362,plain,
( vf(vd1123,vd1125) = vf(vd1123,vd1127)
| ~ rreal(vf(vd1123,vd1125))
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1127)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_359,c_0_360])]) ).
cnf(c_0_363,plain,
rless(vf(vd1123,vd1125),vf(vd1123,vd1127)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_351]),c_0_357]),c_0_352])]) ).
cnf(c_0_364,plain,
( vf(vd1123,vd1125) = vf(vd1123,vd1127)
| ~ rreal(vf(vd1123,vd1125)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_362,c_0_363])]) ).
cnf(c_0_365,plain,
( X1 != X2
| ~ rreal(X2)
| ~ rless(X1,X1) ),
i_0_80 ).
cnf(c_0_366,plain,
vf(vd1123,vd1125) = vf(vd1123,vd1127),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_356]),c_0_347]),c_0_319])]) ).
cnf(c_0_367,plain,
( ~ rreal(X1)
| ~ rless(X1,X1) ),
inference(er,[status(thm)],[c_0_365]) ).
cnf(c_0_368,plain,
rless(vf(vd1123,vd1127),vf(vd1123,vd1127)),
inference(rw,[status(thm)],[c_0_363,c_0_366]) ).
cnf(c_0_369,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_360])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO285+1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.31 % Computer : n003.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 : Sat Jun 18 12:53:45 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.43 # ENIGMATIC: Selected complete mode:
% 10.03/3.02 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.03/3.02 # No SInE strategy applied
% 10.03/3.02 # Trying AutoSched0 for 150 seconds
% 10.03/3.02 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 10.03/3.02 # and selection function SelectCQArNTNpEqFirst.
% 10.03/3.02 #
% 10.03/3.02 # Preprocessing time : 0.027 s
% 10.03/3.02 # Presaturation interreduction done
% 10.03/3.02
% 10.03/3.02 # Proof found!
% 10.03/3.02 # SZS status Theorem
% 10.03/3.02 # SZS output start CNFRefutation
% See solution above
% 10.03/3.03 # Training examples: 0 positive, 0 negative
% 10.03/3.03
% 10.03/3.03 # -------------------------------------------------
% 10.03/3.03 # User time : 0.102 s
% 10.03/3.03 # System time : 0.008 s
% 10.03/3.03 # Total time : 0.110 s
% 10.03/3.03 # Maximum resident set size: 7120 pages
% 10.03/3.03
%------------------------------------------------------------------------------