TSTP Solution File: GEO280+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO280+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 03:45:05 EDT 2022
% Result : Theorem 8.80s 2.70s
% Output : CNFRefutation 8.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 26
% Syntax : Number of clauses : 84 ( 49 unt; 0 nHn; 84 RR)
% Number of literals : 229 ( 61 equ; 148 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 : 14 ( 14 usr; 11 con; 0-3 aty)
% Number of variables : 111 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_103,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/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_103) ).
cnf(i_0_12,plain,
rpoint(vd1126),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_12) ).
cnf(i_0_13,plain,
vd1125 = vd1126,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_13) ).
cnf(i_0_257,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/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_257) ).
cnf(i_0_1,negated_conjecture,
rinside(vd1125,vd1139),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_1) ).
cnf(i_0_4,plain,
rcircle(vd1139),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_4) ).
cnf(i_0_53,plain,
( rreal(esk6_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_53) ).
cnf(i_0_54,plain,
( esk6_2(X1,X2) = vf(X1,X2)
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_54) ).
cnf(i_0_88,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/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_88) ).
cnf(i_0_5,plain,
rcenter(vd1123,vd1139),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_5) ).
cnf(i_0_166,plain,
( ron(esk20_3(X1,X2,X3),X1)
| X3 != X4
| X1 != X2
| ~ rcircle(X2)
| ~ rline(X4)
| ~ rintersect(X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_166) ).
cnf(i_0_3,plain,
ron(vd1125,vd1138),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_3) ).
cnf(i_0_7,plain,
rline(vd1138),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_7) ).
cnf(i_0_164,plain,
( rpoint(esk20_3(X1,X2,X3))
| X3 != X4
| X1 != X2
| ~ rcircle(X2)
| ~ rline(X4)
| ~ rintersect(X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_164) ).
cnf(i_0_14,plain,
rpoint(vd1128),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_14) ).
cnf(i_0_15,plain,
vd1127 = vd1128,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_15) ).
cnf(i_0_16,plain,
rpoint(vd1130),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_16) ).
cnf(i_0_17,plain,
vd1130 = vd1129,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_17) ).
cnf(i_0_6,plain,
ron(vd1136,vd1139),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_6) ).
cnf(i_0_9,plain,
rpoint(vd1136),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_9) ).
cnf(i_0_93,plain,
( X1 = X2
| X2 != X3
| X1 != X4
| ~ rreal(X4)
| ~ rreal(X3)
| ~ rless(X2,X1)
| ~ rless(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_93) ).
cnf(i_0_20,plain,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_20) ).
cnf(i_0_8,plain,
vf(vd1123,vd1136) = vf(vd1127,vd1129),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_8) ).
cnf(i_0_10,plain,
rpoint(vd1124),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_10) ).
cnf(i_0_11,plain,
vd1123 = vd1124,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_11) ).
cnf(i_0_92,plain,
( X1 != X2
| ~ rreal(X2)
| ~ rless(X1,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lnkoqed9/lgb.p',i_0_92) ).
cnf(c_0_284,plain,
( rintersect(X1,X2)
| X2 != X3
| X1 != X4
| X5 != X6
| ~ rcircle(X3)
| ~ rline(X4)
| ~ rpoint(X6)
| ~ rinside(X5,X2)
| ~ ron(X5,X1) ),
i_0_103 ).
cnf(c_0_285,plain,
rpoint(vd1126),
i_0_12 ).
cnf(c_0_286,plain,
vd1125 = vd1126,
i_0_13 ).
cnf(c_0_287,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_257 ).
cnf(c_0_288,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_284])])]) ).
cnf(c_0_289,negated_conjecture,
rinside(vd1125,vd1139),
i_0_1 ).
cnf(c_0_290,plain,
rcircle(vd1139),
i_0_4 ).
cnf(c_0_291,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_292,plain,
( rreal(esk6_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
i_0_53 ).
cnf(c_0_293,plain,
( esk6_2(X1,X2) = vf(X1,X2)
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
i_0_54 ).
cnf(c_0_294,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_88 ).
cnf(c_0_295,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_287])]) ).
cnf(c_0_296,plain,
rcenter(vd1123,vd1139),
i_0_5 ).
cnf(c_0_297,plain,
( ron(esk20_3(X1,X2,X3),X1)
| X3 != X4
| X1 != X2
| ~ rcircle(X2)
| ~ rline(X4)
| ~ rintersect(X3,X1) ),
i_0_166 ).
cnf(c_0_298,negated_conjecture,
( rintersect(X1,vd1139)
| ~ rline(X1)
| ~ ron(vd1125,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_290]),c_0_291])]) ).
cnf(c_0_299,plain,
ron(vd1125,vd1138),
i_0_3 ).
cnf(c_0_300,plain,
rline(vd1138),
i_0_7 ).
cnf(c_0_301,plain,
( rpoint(esk20_3(X1,X2,X3))
| X3 != X4
| X1 != X2
| ~ rcircle(X2)
| ~ rline(X4)
| ~ rintersect(X3,X1) ),
i_0_164 ).
cnf(c_0_302,plain,
( rreal(esk6_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_292])]) ).
cnf(c_0_303,plain,
( esk6_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_293])]) ).
cnf(c_0_304,plain,
rpoint(vd1128),
i_0_14 ).
cnf(c_0_305,plain,
vd1127 = vd1128,
i_0_15 ).
cnf(c_0_306,plain,
rpoint(vd1130),
i_0_16 ).
cnf(c_0_307,plain,
vd1130 = vd1129,
i_0_17 ).
cnf(c_0_308,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_294])]) ).
cnf(c_0_309,plain,
( vf(vd1123,X1) = vf(vd1123,X2)
| ~ ron(X2,vd1139)
| ~ ron(X1,vd1139)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_310,plain,
ron(vd1136,vd1139),
i_0_6 ).
cnf(c_0_311,plain,
rpoint(vd1136),
i_0_9 ).
cnf(c_0_312,plain,
( ron(esk20_3(X1,X1,X2),X1)
| ~ rintersect(X2,X1)
| ~ rcircle(X1)
| ~ rline(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_297])]) ).
cnf(c_0_313,plain,
rintersect(vd1138,vd1139),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_300])]) ).
cnf(c_0_314,plain,
( rpoint(esk20_3(X1,X1,X2))
| ~ rintersect(X2,X1)
| ~ rcircle(X1)
| ~ rline(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_301])]) ).
cnf(c_0_315,plain,
( X1 = X2
| X2 != X3
| X1 != X4
| ~ rreal(X4)
| ~ rreal(X3)
| ~ rless(X2,X1)
| ~ rless(X1,X2) ),
i_0_93 ).
cnf(c_0_316,plain,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
i_0_20 ).
cnf(c_0_317,plain,
vf(vd1123,vd1136) = vf(vd1127,vd1129),
i_0_8 ).
cnf(c_0_318,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_319,plain,
rpoint(vd1127),
inference(rw,[status(thm)],[c_0_304,c_0_305]) ).
cnf(c_0_320,plain,
rpoint(vd1129),
inference(rw,[status(thm)],[c_0_306,c_0_307]) ).
cnf(c_0_321,plain,
( rless(vf(vd1123,X1),vf(vd1123,X2))
| ~ rinside(X1,vd1139)
| ~ ron(X2,vd1139)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_308,c_0_296]) ).
cnf(c_0_322,plain,
( vf(vd1123,X1) = vf(vd1123,vd1136)
| ~ ron(X1,vd1139)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_311])]) ).
cnf(c_0_323,plain,
ron(esk20_3(vd1139,vd1139,vd1138),vd1139),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_290]),c_0_300])]) ).
cnf(c_0_324,plain,
rpoint(esk20_3(vd1139,vd1139,vd1138)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_313]),c_0_290]),c_0_300])]) ).
cnf(c_0_325,plain,
( X1 = X2
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X2,X1)
| ~ rless(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_315])]) ).
cnf(c_0_326,plain,
rless(vf(vd1123,vd1136),vf(vd1123,vd1125)),
inference(rw,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_327,plain,
rreal(vf(vd1123,vd1136)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_317]),c_0_319]),c_0_320])]) ).
cnf(c_0_328,negated_conjecture,
( rless(vf(vd1123,vd1125),vf(vd1123,X1))
| ~ ron(X1,vd1139)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_289]),c_0_291])]) ).
cnf(c_0_329,plain,
vf(vd1123,esk20_3(vd1139,vd1139,vd1138)) = vf(vd1123,vd1136),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_324])]) ).
cnf(c_0_330,plain,
( vf(vd1123,vd1136) = vf(vd1123,vd1125)
| ~ rreal(vf(vd1123,vd1125))
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1136)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_327])]) ).
cnf(c_0_331,plain,
rless(vf(vd1123,vd1125),vf(vd1123,vd1136)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_323]),c_0_329]),c_0_324])]) ).
cnf(c_0_332,plain,
rpoint(vd1124),
i_0_10 ).
cnf(c_0_333,plain,
vd1123 = vd1124,
i_0_11 ).
cnf(c_0_334,plain,
( vf(vd1123,vd1136) = vf(vd1123,vd1125)
| ~ rreal(vf(vd1123,vd1125)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_330,c_0_331])]) ).
cnf(c_0_335,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[c_0_332,c_0_333]) ).
cnf(c_0_336,plain,
( X1 != X2
| ~ rreal(X2)
| ~ rless(X1,X1) ),
i_0_92 ).
cnf(c_0_337,plain,
vf(vd1123,vd1136) = vf(vd1123,vd1125),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_318]),c_0_335]),c_0_291])]) ).
cnf(c_0_338,plain,
( ~ rreal(X1)
| ~ rless(X1,X1) ),
inference(er,[status(thm)],[c_0_336]) ).
cnf(c_0_339,plain,
rless(vf(vd1123,vd1125),vf(vd1123,vd1125)),
inference(rw,[status(thm)],[c_0_331,c_0_337]) ).
cnf(c_0_340,plain,
rreal(vf(vd1123,vd1125)),
inference(rw,[status(thm)],[c_0_327,c_0_337]) ).
cnf(c_0_341,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_340])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO280+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 16:51:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected complete mode:
% 8.80/2.70 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.80/2.70 # No SInE strategy applied
% 8.80/2.70 # Trying AutoSched0 for 150 seconds
% 8.80/2.70 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 8.80/2.70 # and selection function SelectCQArNTNpEqFirst.
% 8.80/2.70 #
% 8.80/2.70 # Preprocessing time : 0.024 s
% 8.80/2.70 # Presaturation interreduction done
% 8.80/2.70
% 8.80/2.70 # Proof found!
% 8.80/2.70 # SZS status Theorem
% 8.80/2.70 # SZS output start CNFRefutation
% See solution above
% 8.80/2.70 # Training examples: 0 positive, 0 negative
% 8.80/2.70
% 8.80/2.70 # -------------------------------------------------
% 8.80/2.70 # User time : 0.208 s
% 8.80/2.70 # System time : 0.013 s
% 8.80/2.70 # Total time : 0.221 s
% 8.80/2.70 # Maximum resident set size: 7124 pages
% 8.80/2.70
%------------------------------------------------------------------------------