%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO279+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n009.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 284.84s 37.59s
% Output : CNFRefutation 284.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 47
% Syntax : Number of clauses : 160 ( 64 unt; 28 nHn; 160 RR)
% Number of literals : 637 ( 199 equ; 460 neg)
% Maximal clause size : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 14 con; 0-7 aty)
% Number of variables : 335 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_32,plain,
( X1 = X2
| rcenter(X1,esk4_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_32) ).
cnf(i_0_24,plain,
rpoint(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_24) ).
cnf(i_0_25,plain,
vd1080 = esk2_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_25) ).
cnf(i_0_78,plain,
( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
| X3 != X4
| X1 != X5
| X2 != X6
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X4)
| ~ rR(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_78) ).
cnf(i_0_66,plain,
( vf(X1,X2) = vf(X2,X1)
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_66) ).
cnf(i_0_265,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-iwdxzq_h/input.p',i_0_265) ).
cnf(i_0_37,plain,
( X1 = vskolem1095
| ~ rcircle(X1)
| ~ ron(vd1081,X1)
| ~ rcenter(vd1080,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_37) ).
cnf(i_0_31,plain,
( X1 = X2
| rcircle(esk4_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_31) ).
cnf(i_0_39,plain,
rcenter(vd1080,vskolem1095),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_39) ).
cnf(i_0_33,plain,
( X1 = X2
| ron(X1,esk4_2(X2,X1))
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_33) ).
cnf(i_0_44,plain,
rpoint(esk5_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_44) ).
cnf(i_0_45,plain,
vd1081 = esk5_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_45) ).
cnf(i_0_100,plain,
( rinside(X1,X2)
| X3 != X4
| X1 != X5
| X2 != X6
| X7 != X8
| ~ rpoint(X8)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ ron(X3,X2)
| ~ rinside(X7,X2)
| ~ rR(X1,X7,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_100) ).
cnf(i_0_35,plain,
ron(vd1096,vd1094),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_35) ).
cnf(i_0_36,plain,
vd1094 = vskolem1095,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_36) ).
cnf(i_0_43,plain,
vd1081 != vd1080,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_43) ).
cnf(i_0_284,plain,
( rless(vf(X1,X2),vf(X1,X3))
| X3 != X4
| X2 != X5
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ ron(X3,X6)
| ~ rcenter(X1,X6)
| ~ rinside(X2,X6) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_284) ).
cnf(i_0_22,plain,
rR(vd1080,vd1089,vd1096),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_22) ).
cnf(i_0_23,plain,
rpoint(vd1089),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_23) ).
cnf(i_0_15,plain,
rpoint(vd1096),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_15) ).
cnf(i_0_227,plain,
( rcircle(esk45_2(X1,X2))
| ~ rcenter(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_227) ).
cnf(i_0_228,plain,
( esk45_2(X1,X2) = X2
| ~ rcenter(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_228) ).
cnf(i_0_261,plain,
( rreal(esk49_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_261) ).
cnf(i_0_262,plain,
( esk49_2(X1,X2) = vf(X1,X2)
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_262) ).
cnf(i_0_285,plain,
( rinside(X1,X2)
| X3 != X4
| X1 != X5
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ ron(X3,X2)
| ~ rcenter(X6,X2)
| ~ rless(vf(X6,X1),vf(X6,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_285) ).
cnf(i_0_62,plain,
rpoint(vd1086),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_62) ).
cnf(i_0_59,plain,
vd1085 = vd1086,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_59) ).
cnf(i_0_46,plain,
( rinside(X1,X2)
| ~ rcenter(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_46) ).
cnf(i_0_5,plain,
rcenter(vd1089,vskolem1102),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_5) ).
cnf(i_0_42,plain,
vf(vd1089,vd1080) = vf(vd1089,vd1085),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_42) ).
cnf(i_0_6,plain,
ron(vd1096,vskolem1102),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_6) ).
cnf(i_0_266,plain,
( ron(X1,X2)
| X3 != X4
| X1 != X5
| vf(X6,X1) != vf(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ ron(X3,X2)
| ~ rcenter(X6,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_266) ).
cnf(i_0_1,negated_conjecture,
( ~ rpoint(X1)
| ~ ron(X1,vd1098)
| ~ ron(X1,vd1101)
| ~ rR(vd1085,X1,vd1089) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_1) ).
cnf(i_0_2,plain,
vskolem1102 = vd1101,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_2) ).
cnf(i_0_17,plain,
vd1098 = vskolem1099,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_17) ).
cnf(i_0_14,plain,
( X1 = X2
| rR(X1,esk1_7(X3,X4,X5,X6,X1,X7,X2),X2)
| X2 != X8
| X5 != X6
| X3 != X4
| X1 != X7
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rcircle(X4)
| ~ rline(X6)
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rinside(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_14) ).
cnf(i_0_26,plain,
( X1 != X2
| X3 != X4
| ~ rpoint(X4)
| ~ rcircle(X2)
| ~ ron(X3,X1)
| ~ rinside(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_26) ).
cnf(i_0_69,plain,
( X1 = X2
| X2 != X3
| X4 != X5
| X1 != X6
| vplus(X1,X4) != vplus(X2,X4)
| ~ rreal(X6)
| ~ rreal(X3)
| ~ rreal(X5) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_69) ).
cnf(i_0_13,plain,
( X1 = X2
| ron(esk1_7(X3,X4,X5,X6,X1,X7,X2),X5)
| X2 != X8
| X1 != X7
| X5 != X6
| X3 != X4
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rcircle(X4)
| ~ rline(X6)
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rinside(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_13) ).
cnf(i_0_20,plain,
ron(vd1089,vskolem1099),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_20) ).
cnf(i_0_21,plain,
ron(vd1085,vskolem1099),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_21) ).
cnf(i_0_19,plain,
rline(vskolem1099),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_19) ).
cnf(i_0_12,plain,
( X1 = X2
| ron(esk1_7(X3,X4,X5,X6,X1,X7,X2),X3)
| X2 != X8
| X1 != X7
| X5 != X6
| X3 != X4
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rcircle(X4)
| ~ rline(X6)
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rinside(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_12) ).
cnf(i_0_40,plain,
ron(vd1081,vskolem1095),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_40) ).
cnf(i_0_4,plain,
rcircle(vskolem1102),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_4) ).
cnf(i_0_11,plain,
( X1 = X2
| rpoint(esk1_7(X3,X4,X5,X6,X1,X7,X2))
| X2 != X8
| X1 != X7
| X5 != X6
| X3 != X4
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rcircle(X4)
| ~ rline(X6)
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rinside(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_11) ).
cnf(i_0_61,plain,
vd1080 != vd1085,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwdxzq_h/input.p',i_0_61) ).
cnf(c_0_333,plain,
( X1 = X2
| rcenter(X1,esk4_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
i_0_32 ).
cnf(c_0_334,plain,
rpoint(esk2_0),
i_0_24 ).
cnf(c_0_335,plain,
vd1080 = esk2_0,
i_0_25 ).
cnf(c_0_336,plain,
( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
| X3 != X4
| X1 != X5
| X2 != X6
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X4)
| ~ rR(X2,X1,X3) ),
i_0_78 ).
cnf(c_0_337,plain,
( vf(X1,X2) = vf(X2,X1)
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
i_0_66 ).
cnf(c_0_338,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_265 ).
cnf(c_0_339,plain,
( X1 = vskolem1095
| ~ rcircle(X1)
| ~ ron(vd1081,X1)
| ~ rcenter(vd1080,X1) ),
i_0_37 ).
cnf(c_0_340,plain,
( X1 = X2
| rcenter(X1,esk4_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_333])]) ).
cnf(c_0_341,plain,
rpoint(vd1080),
inference(rw,[status(thm)],[c_0_334,c_0_335]) ).
cnf(c_0_342,plain,
( X1 = X2
| rcircle(esk4_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
i_0_31 ).
cnf(c_0_343,plain,
( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
| ~ rR(X2,X1,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_336])])]) ).
cnf(c_0_344,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_337])]) ).
cnf(c_0_345,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_338])]) ).
cnf(c_0_346,plain,
rcenter(vd1080,vskolem1095),
i_0_39 ).
cnf(c_0_347,plain,
( X1 = X2
| ron(X1,esk4_2(X2,X1))
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
i_0_33 ).
cnf(c_0_348,plain,
( esk4_2(vd1080,X1) = vskolem1095
| vd1080 = X1
| ~ ron(vd1081,esk4_2(vd1080,X1))
| ~ rcircle(esk4_2(vd1080,X1))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_341])]) ).
cnf(c_0_349,plain,
( X1 = X2
| rcircle(esk4_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_342])]) ).
cnf(c_0_350,plain,
rpoint(esk5_0),
i_0_44 ).
cnf(c_0_351,plain,
vd1081 = esk5_0,
i_0_45 ).
cnf(c_0_352,plain,
( rinside(X1,X2)
| X3 != X4
| X1 != X5
| X2 != X6
| X7 != X8
| ~ rpoint(X8)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ ron(X3,X2)
| ~ rinside(X7,X2)
| ~ rR(X1,X7,X3) ),
i_0_100 ).
cnf(c_0_353,plain,
( vplus(vf(X1,X2),vf(X1,X3)) = vf(X2,X3)
| ~ rR(X1,X2,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(spm,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_354,plain,
( vf(vd1080,X1) = vf(vd1080,X2)
| ~ ron(X2,vskolem1095)
| ~ ron(X1,vskolem1095)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_345,c_0_346]) ).
cnf(c_0_355,plain,
ron(vd1096,vd1094),
i_0_35 ).
cnf(c_0_356,plain,
vd1094 = vskolem1095,
i_0_36 ).
cnf(c_0_357,plain,
( vf(X1,X2) = vf(X1,X3)
| X1 = X4
| ~ ron(X3,esk4_2(X1,X4))
| ~ ron(X2,esk4_2(X1,X4))
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X4) ),
inference(spm,[status(thm)],[c_0_345,c_0_340]) ).
cnf(c_0_358,plain,
( X1 = X2
| ron(X1,esk4_2(X2,X1))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_347])]) ).
cnf(c_0_359,plain,
( esk4_2(vd1080,X1) = vskolem1095
| vd1080 = X1
| ~ ron(vd1081,esk4_2(vd1080,X1))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_341])]) ).
cnf(c_0_360,plain,
rpoint(vd1081),
inference(rw,[status(thm)],[c_0_350,c_0_351]) ).
cnf(c_0_361,plain,
vd1081 != vd1080,
i_0_43 ).
cnf(c_0_362,plain,
( rless(vf(X1,X2),vf(X1,X3))
| X3 != X4
| X2 != X5
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ ron(X3,X6)
| ~ rcenter(X1,X6)
| ~ rinside(X2,X6) ),
i_0_284 ).
cnf(c_0_363,plain,
( rinside(X1,X2)
| ~ rinside(X3,X2)
| ~ rR(X1,X3,X4)
| ~ ron(X4,X2)
| ~ rcircle(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_352])])])]) ).
cnf(c_0_364,plain,
rR(vd1080,vd1089,vd1096),
i_0_22 ).
cnf(c_0_365,plain,
rpoint(vd1089),
i_0_23 ).
cnf(c_0_366,plain,
rpoint(vd1096),
i_0_15 ).
cnf(c_0_367,plain,
( rcircle(esk45_2(X1,X2))
| ~ rcenter(X1,X2) ),
i_0_227 ).
cnf(c_0_368,plain,
( esk45_2(X1,X2) = X2
| ~ rcenter(X1,X2) ),
i_0_228 ).
cnf(c_0_369,plain,
( vplus(vf(vd1080,X1),vf(vd1080,X2)) = vf(X1,X3)
| ~ rR(vd1080,X1,X3)
| ~ ron(X3,vskolem1095)
| ~ ron(X2,vskolem1095)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_341])]) ).
cnf(c_0_370,plain,
ron(vd1096,vskolem1095),
inference(rw,[status(thm)],[c_0_355,c_0_356]) ).
cnf(c_0_371,plain,
( vf(X1,X2) = vf(X1,X3)
| X1 = X3
| ~ ron(X2,esk4_2(X1,X3))
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_357,c_0_358]) ).
cnf(c_0_372,plain,
esk4_2(vd1080,vd1081) = vskolem1095,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_358]),c_0_360]),c_0_341])]),c_0_361]) ).
cnf(c_0_373,plain,
( rreal(esk49_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
i_0_261 ).
cnf(c_0_374,plain,
( esk49_2(X1,X2) = vf(X1,X2)
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
i_0_262 ).
cnf(c_0_375,plain,
( rinside(X1,X2)
| X3 != X4
| X1 != X5
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ ron(X3,X2)
| ~ rcenter(X6,X2)
| ~ rless(vf(X6,X1),vf(X6,X3)) ),
i_0_285 ).
cnf(c_0_376,plain,
rpoint(vd1086),
i_0_62 ).
cnf(c_0_377,plain,
vd1085 = vd1086,
i_0_59 ).
cnf(c_0_378,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_362])]) ).
cnf(c_0_379,plain,
( rinside(vd1080,X1)
| ~ rinside(vd1089,X1)
| ~ ron(vd1096,X1)
| ~ rcircle(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_364]),c_0_365]),c_0_341]),c_0_366])]) ).
cnf(c_0_380,plain,
( rcircle(X1)
| ~ rcenter(X2,X1) ),
inference(spm,[status(thm)],[c_0_367,c_0_368]) ).
cnf(c_0_381,plain,
( rinside(X1,X2)
| ~ rcenter(X1,X2) ),
i_0_46 ).
cnf(c_0_382,plain,
rcenter(vd1089,vskolem1102),
i_0_5 ).
cnf(c_0_383,plain,
( vplus(vf(vd1080,vd1089),vf(vd1080,X1)) = vf(vd1089,vd1096)
| ~ ron(X1,vskolem1095)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_364]),c_0_370]),c_0_365]),c_0_366])]) ).
cnf(c_0_384,plain,
( vf(vd1080,X1) = vf(vd1080,vd1081)
| ~ ron(X1,vskolem1095)
| ~ rpoint(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_360]),c_0_341])]),c_0_361]) ).
cnf(c_0_385,plain,
( rreal(esk49_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_373])]) ).
cnf(c_0_386,plain,
( esk49_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_374])]) ).
cnf(c_0_387,plain,
( rinside(X1,X2)
| ~ rless(vf(X3,X1),vf(X3,X4))
| ~ rcenter(X3,X2)
| ~ ron(X4,X2)
| ~ rpoint(X1)
| ~ rpoint(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_375])]) ).
cnf(c_0_388,plain,
vf(vd1089,vd1080) = vf(vd1089,vd1085),
i_0_42 ).
cnf(c_0_389,plain,
rpoint(vd1085),
inference(rw,[status(thm)],[c_0_376,c_0_377]) ).
cnf(c_0_390,plain,
( rless(vf(X1,vd1080),vf(X1,X2))
| ~ rinside(vd1089,X3)
| ~ rcenter(X1,X3)
| ~ ron(vd1096,X3)
| ~ ron(X2,X3)
| ~ rpoint(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_341])]),c_0_380]) ).
cnf(c_0_391,plain,
rinside(vd1089,vskolem1102),
inference(spm,[status(thm)],[c_0_381,c_0_382]) ).
cnf(c_0_392,plain,
ron(vd1096,vskolem1102),
i_0_6 ).
cnf(c_0_393,plain,
( ron(X1,X2)
| X3 != X4
| X1 != X5
| vf(X6,X1) != vf(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ ron(X3,X2)
| ~ rcenter(X6,X2) ),
i_0_266 ).
cnf(c_0_394,plain,
( vplus(vf(vd1080,vd1089),vf(vd1080,vd1081)) = vf(vd1089,vd1096)
| ~ ron(X1,vskolem1095)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_383,c_0_384]) ).
cnf(c_0_395,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_385,c_0_386]) ).
cnf(c_0_396,negated_conjecture,
( ~ rpoint(X1)
| ~ ron(X1,vd1098)
| ~ ron(X1,vd1101)
| ~ rR(vd1085,X1,vd1089) ),
i_0_1 ).
cnf(c_0_397,plain,
vskolem1102 = vd1101,
i_0_2 ).
cnf(c_0_398,plain,
vd1098 = vskolem1099,
i_0_17 ).
cnf(c_0_399,plain,
( X1 = X2
| rR(X1,esk1_7(X3,X4,X5,X6,X1,X7,X2),X2)
| X2 != X8
| X5 != X6
| X3 != X4
| X1 != X7
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rcircle(X4)
| ~ rline(X6)
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rinside(X1,X3) ),
i_0_14 ).
cnf(c_0_400,plain,
( rinside(vd1085,X1)
| ~ rless(vf(vd1089,vd1080),vf(vd1089,X2))
| ~ rcenter(vd1089,X1)
| ~ ron(X2,X1)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_389])]) ).
cnf(c_0_401,plain,
( rless(vf(vd1089,vd1080),vf(vd1089,X1))
| ~ ron(X1,vskolem1102)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_382]),c_0_391]),c_0_392])]) ).
cnf(c_0_402,plain,
( X1 != X2
| X3 != X4
| ~ rpoint(X4)
| ~ rcircle(X2)
| ~ ron(X3,X1)
| ~ rinside(X3,X1) ),
i_0_26 ).
cnf(c_0_403,plain,
( ron(X1,X2)
| vf(X3,X1) != vf(X3,X4)
| ~ rcenter(X3,X2)
| ~ ron(X4,X2)
| ~ rpoint(X1)
| ~ rpoint(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_393])]) ).
cnf(c_0_404,plain,
( X1 = X2
| X2 != X3
| X4 != X5
| X1 != X6
| vplus(X1,X4) != vplus(X2,X4)
| ~ rreal(X6)
| ~ rreal(X3)
| ~ rreal(X5) ),
i_0_69 ).
cnf(c_0_405,plain,
vplus(vf(vd1080,vd1089),vf(vd1080,vd1081)) = vf(vd1089,vd1096),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_370]),c_0_366])]) ).
cnf(c_0_406,plain,
( rreal(vf(vd1080,vd1081))
| ~ ron(X1,vskolem1095)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_384]),c_0_341])]) ).
cnf(c_0_407,negated_conjecture,
( ~ rR(vd1085,X1,vd1089)
| ~ ron(X1,vskolem1102)
| ~ ron(X1,vskolem1099)
| ~ rpoint(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_396,c_0_397]),c_0_398]) ).
cnf(c_0_408,plain,
( X1 = X2
| rR(X1,esk1_7(X3,X3,X4,X4,X1,X1,X2),X2)
| ~ rinside(X1,X3)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rline(X4)
| ~ rcircle(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_399])])])]) ).
cnf(c_0_409,plain,
( X1 = X2
| ron(esk1_7(X3,X4,X5,X6,X1,X7,X2),X5)
| X2 != X8
| X1 != X7
| X5 != X6
| X3 != X4
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rcircle(X4)
| ~ rline(X6)
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rinside(X1,X3) ),
i_0_13 ).
cnf(c_0_410,plain,
( rinside(vd1085,X1)
| ~ rcenter(vd1089,X1)
| ~ ron(X2,vskolem1102)
| ~ ron(X2,X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_400,c_0_401]) ).
cnf(c_0_411,plain,
( ~ rinside(X1,X2)
| ~ ron(X1,X2)
| ~ rcircle(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_402])]) ).
cnf(c_0_412,plain,
( X1 = X2
| rinside(X1,esk4_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_381,c_0_340]) ).
cnf(c_0_413,plain,
( X1 = X2
| ron(X3,esk4_2(X1,X2))
| vf(X1,X3) != vf(X1,X4)
| ~ ron(X4,esk4_2(X1,X2))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_403,c_0_340]) ).
cnf(c_0_414,plain,
( X1 = X2
| vplus(X1,X3) != vplus(X2,X3)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_404])])]) ).
cnf(c_0_415,plain,
vplus(vf(vd1089,vd1080),vf(vd1080,vd1081)) = vf(vd1089,vd1096),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_344]),c_0_341]),c_0_365])]) ).
cnf(c_0_416,plain,
rreal(vf(vd1089,vd1080)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_388]),c_0_365]),c_0_389])]) ).
cnf(c_0_417,plain,
rreal(vf(vd1080,vd1081)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_370]),c_0_366])]) ).
cnf(c_0_418,negated_conjecture,
( vd1085 = vd1089
| ~ rinside(vd1085,X1)
| ~ ron(esk1_7(X1,X1,X2,X2,vd1085,vd1085,vd1089),vskolem1102)
| ~ ron(esk1_7(X1,X1,X2,X2,vd1085,vd1085,vd1089),vskolem1099)
| ~ ron(vd1089,X2)
| ~ ron(vd1085,X2)
| ~ rline(X2)
| ~ rcircle(X1)
| ~ rpoint(esk1_7(X1,X1,X2,X2,vd1085,vd1085,vd1089)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_408]),c_0_365]),c_0_389])]) ).
cnf(c_0_419,plain,
( X1 = X2
| ron(esk1_7(X3,X3,X4,X4,X1,X1,X2),X4)
| ~ rinside(X1,X3)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rline(X4)
| ~ rcircle(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_409])])])]) ).
cnf(c_0_420,plain,
ron(vd1089,vskolem1099),
i_0_20 ).
cnf(c_0_421,plain,
ron(vd1085,vskolem1099),
i_0_21 ).
cnf(c_0_422,plain,
rline(vskolem1099),
i_0_19 ).
cnf(c_0_423,plain,
( X1 = X2
| ron(esk1_7(X3,X4,X5,X6,X1,X7,X2),X3)
| X2 != X8
| X1 != X7
| X5 != X6
| X3 != X4
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rcircle(X4)
| ~ rline(X6)
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rinside(X1,X3) ),
i_0_12 ).
cnf(c_0_424,plain,
( rinside(vd1085,vskolem1102)
| ~ ron(X1,vskolem1102)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_410,c_0_382]) ).
cnf(c_0_425,plain,
( X1 = X2
| ~ ron(X1,esk4_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_349]) ).
cnf(c_0_426,plain,
( X1 = X2
| ron(X3,esk4_2(X1,X2))
| vf(X1,X3) != vf(X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_413,c_0_358]) ).
cnf(c_0_427,plain,
( vf(vd1089,vd1080) = X1
| vplus(X1,vf(vd1080,vd1081)) != vf(vd1089,vd1096)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_415]),c_0_416]),c_0_417])]) ).
cnf(c_0_428,plain,
ron(vd1081,vskolem1095),
i_0_40 ).
cnf(c_0_429,plain,
( vd1085 = vd1089
| ~ rinside(vd1085,X1)
| ~ ron(esk1_7(X1,X1,vskolem1099,vskolem1099,vd1085,vd1085,vd1089),vskolem1102)
| ~ rcircle(X1)
| ~ rpoint(esk1_7(X1,X1,vskolem1099,vskolem1099,vd1085,vd1085,vd1089)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_419]),c_0_420]),c_0_421]),c_0_422]),c_0_365]),c_0_389])]) ).
cnf(c_0_430,plain,
( X1 = X2
| ron(esk1_7(X3,X3,X4,X4,X1,X1,X2),X3)
| ~ rinside(X1,X3)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rline(X4)
| ~ rcircle(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_423])])])]) ).
cnf(c_0_431,plain,
rinside(vd1085,vskolem1102),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_392]),c_0_366])]) ).
cnf(c_0_432,plain,
rcircle(vskolem1102),
i_0_4 ).
cnf(c_0_433,plain,
( X1 = X2
| rpoint(esk1_7(X3,X4,X5,X6,X1,X7,X2))
| X2 != X8
| X1 != X7
| X5 != X6
| X3 != X4
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rcircle(X4)
| ~ rline(X6)
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rinside(X1,X3) ),
i_0_11 ).
cnf(c_0_434,plain,
( X1 = X2
| vf(X1,X1) != vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_425,c_0_426]) ).
cnf(c_0_435,plain,
( vf(vd1080,vd1089) = vf(vd1089,vd1080)
| ~ rreal(vf(vd1080,vd1089)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_383]),c_0_428]),c_0_360])]) ).
cnf(c_0_436,plain,
( vd1085 = vd1089
| ~ rpoint(esk1_7(vskolem1102,vskolem1102,vskolem1099,vskolem1099,vd1085,vd1085,vd1089)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_431]),c_0_432]),c_0_420]),c_0_421]),c_0_422]),c_0_365]),c_0_389])]) ).
cnf(c_0_437,plain,
( X1 = X2
| rpoint(esk1_7(X3,X3,X4,X4,X1,X1,X2))
| ~ rinside(X1,X3)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rline(X4)
| ~ rcircle(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_433])])])]) ).
cnf(c_0_438,plain,
( X1 = X2
| vf(X1,X1) != vf(X2,X1)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_434,c_0_344]) ).
cnf(c_0_439,plain,
vf(vd1080,vd1089) = vf(vd1089,vd1080),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_395]),c_0_341]),c_0_365])]) ).
cnf(c_0_440,plain,
vd1085 = vd1089,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_437]),c_0_431]),c_0_420]),c_0_421]),c_0_422]),c_0_432]),c_0_365]),c_0_389])]) ).
cnf(c_0_441,plain,
vd1080 != vd1085,
i_0_61 ).
cnf(c_0_442,plain,
( vd1080 = vd1089
| vf(vd1089,vd1080) != vf(vd1089,vd1089) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_439]),c_0_365]),c_0_341])]) ).
cnf(c_0_443,plain,
vf(vd1089,vd1080) = vf(vd1089,vd1089),
inference(rw,[status(thm)],[c_0_388,c_0_440]) ).
cnf(c_0_444,plain,
vd1080 != vd1089,
inference(rw,[status(thm)],[c_0_441,c_0_440]) ).
cnf(c_0_445,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_443])]),c_0_444]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO279+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 17:31:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 284.84/37.59 # ENIGMATIC: Solved by autoschedule:
% 284.84/37.59 # No SInE strategy applied
% 284.84/37.59 # Trying AutoSched0 for 150 seconds
% 284.84/37.59 # AutoSched0-Mode selected heuristic H_____102_C18_F1_PI_AE_CS_SP_PS_S0Y
% 284.84/37.59 # and selection function SelectMaxLComplexAvoidPosPred.
% 284.84/37.59 #
% 284.84/37.59 # Preprocessing time : 0.045 s
% 284.84/37.59 # Presaturation interreduction done
% 284.84/37.59
% 284.84/37.59 # Proof found!
% 284.84/37.59 # SZS status Theorem
% 284.84/37.59 # SZS output start CNFRefutation
% See solution above
% 284.84/37.59 # Training examples: 0 positive, 0 negative
% 284.84/37.59
% 284.84/37.59 # -------------------------------------------------
% 284.84/37.59 # User time : 33.843 s
% 284.84/37.59 # System time : 0.642 s
% 284.84/37.59 # Total time : 34.485 s
% 284.84/37.59 # Maximum resident set size: 7116 pages
% 284.84/37.59
%------------------------------------------------------------------------------