TSTP Solution File: GEO276+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO276+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n016.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 03:45:04 EDT 2022
% Result : Theorem 158.80s 21.64s
% Output : CNFRefutation 158.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 33
% Syntax : Number of clauses : 132 ( 45 unt; 47 nHn; 132 RR)
% Number of literals : 541 ( 166 equ; 371 neg)
% Maximal clause size : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-7 aty)
% Number of variables : 270 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_44,plain,
( vf(X1,X2) = vf(X2,X1)
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_44) ).
cnf(i_0_40,plain,
rpoint(vd1086),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_40) ).
cnf(i_0_37,plain,
vd1085 = vd1086,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_37) ).
cnf(i_0_24,plain,
rpoint(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_24) ).
cnf(i_0_25,plain,
vd1080 = esk3_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_25) ).
cnf(i_0_42,plain,
( X1 = X2
| vf(X1,vskolem1052(X2,X3,X1,X4)) = vf(X2,X1)
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_42) ).
cnf(i_0_36,plain,
rpoint(vd1089),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_36) ).
cnf(i_0_34,plain,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_34) ).
cnf(i_0_248,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-5d6l1na3/lgb.p',i_0_248) ).
cnf(i_0_39,plain,
vd1080 != vd1085,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_39) ).
cnf(i_0_32,plain,
( X1 = X2
| rcenter(X1,esk5_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_32) ).
cnf(i_0_33,plain,
( X1 = X2
| ron(X1,esk5_2(X2,X1))
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_33) ).
cnf(i_0_43,plain,
( X1 = X2
| rpoint(vskolem1052(X2,X3,X1,X4))
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_43) ).
cnf(i_0_270,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-5d6l1na3/lgb.p',i_0_270) ).
cnf(i_0_269,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-5d6l1na3/lgb.p',i_0_269) ).
cnf(i_0_53,plain,
( vf(X1,X2) = v0
| X2 != X3
| X1 != X4
| X1 != X2
| ~ rpoint(X4)
| ~ rpoint(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_53) ).
cnf(i_0_45,plain,
( rinside(X1,X2)
| ~ rcenter(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_45) ).
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-5d6l1na3/lgb.p',i_0_14) ).
cnf(i_0_5,plain,
rcenter(vd1080,vskolem1095),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_5) ).
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-5d6l1na3/lgb.p',i_0_11) ).
cnf(i_0_244,plain,
( esk48_2(X1,X2) = X2
| ~ rcenter(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_244) ).
cnf(i_0_4,plain,
rcircle(vskolem1095),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_4) ).
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-5d6l1na3/lgb.p',i_0_12) ).
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-5d6l1na3/lgb.p',i_0_13) ).
cnf(i_0_7,plain,
( rR(X1,X2,X3)
| X3 != X4
| X2 != X5
| X1 != X6
| ~ rpoint(X4)
| ~ rpoint(X6)
| ~ rpoint(X5)
| ~ rR(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_7) ).
cnf(i_0_22,plain,
ron(vd1089,vskolem1092),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_22) ).
cnf(i_0_20,plain,
rline(vskolem1092),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_20) ).
cnf(i_0_21,plain,
ron(vd1080,vskolem1092),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_21) ).
cnf(i_0_243,plain,
( rcircle(esk48_2(X1,X2))
| ~ rcenter(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_243) ).
cnf(i_0_1,negated_conjecture,
( ~ rpoint(X1)
| ~ ron(X1,vd1091)
| ~ ron(X1,vd1094)
| ~ rR(vd1080,vd1089,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_1) ).
cnf(i_0_18,plain,
vd1091 = vskolem1092,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_18) ).
cnf(i_0_2,plain,
vskolem1095 = vd1094,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5d6l1na3/lgb.p',i_0_2) ).
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-5d6l1na3/lgb.p',i_0_26) ).
cnf(c_0_304,plain,
( vf(X1,X2) = vf(X2,X1)
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
i_0_44 ).
cnf(c_0_305,plain,
rpoint(vd1086),
i_0_40 ).
cnf(c_0_306,plain,
vd1085 = vd1086,
i_0_37 ).
cnf(c_0_307,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_304])]) ).
cnf(c_0_308,plain,
rpoint(vd1085),
inference(rw,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_309,plain,
rpoint(esk3_0),
i_0_24 ).
cnf(c_0_310,plain,
vd1080 = esk3_0,
i_0_25 ).
cnf(c_0_311,plain,
( X1 = X2
| vf(X1,vskolem1052(X2,X3,X1,X4)) = vf(X2,X1)
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
i_0_42 ).
cnf(c_0_312,plain,
rpoint(vd1089),
i_0_36 ).
cnf(c_0_313,plain,
( vf(X1,vd1085) = vf(vd1085,X1)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_307,c_0_308]) ).
cnf(c_0_314,plain,
rpoint(vd1080),
inference(rw,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_315,plain,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
i_0_34 ).
cnf(c_0_316,plain,
( vf(X1,vskolem1052(X2,X2,X1,X1)) = vf(X2,X1)
| X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_311])]) ).
cnf(c_0_317,plain,
( vf(X1,vd1089) = vf(vd1089,X1)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_307,c_0_312]) ).
cnf(c_0_318,plain,
vf(vd1089,vd1080) = vf(vd1080,vd1085),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_315]) ).
cnf(c_0_319,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_248 ).
cnf(c_0_320,plain,
( vf(vd1080,vskolem1052(X1,X1,vd1080,vd1080)) = vf(X1,vd1080)
| vd1080 = X1
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_316,c_0_314]) ).
cnf(c_0_321,plain,
vf(vd1080,vd1085) = vf(vd1080,vd1089),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_314]),c_0_318]) ).
cnf(c_0_322,plain,
vd1080 != vd1085,
i_0_39 ).
cnf(c_0_323,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_319])]) ).
cnf(c_0_324,plain,
vf(vd1080,vskolem1052(vd1085,vd1085,vd1080,vd1080)) = vf(vd1080,vd1089),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_308]),c_0_315]),c_0_318]),c_0_321]),c_0_322]) ).
cnf(c_0_325,plain,
( ron(vskolem1052(vd1085,vd1085,vd1080,vd1080),X1)
| vf(vd1080,vd1089) != vf(vd1080,X2)
| ~ rcenter(vd1080,X1)
| ~ ron(X2,X1)
| ~ rpoint(vskolem1052(vd1085,vd1085,vd1080,vd1080))
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_323,c_0_324]) ).
cnf(c_0_326,plain,
( X1 = X2
| rcenter(X1,esk5_2(X1,X2))
| X2 != X3
| X1 != X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
i_0_32 ).
cnf(c_0_327,plain,
( ron(vskolem1052(vd1085,vd1085,vd1080,vd1080),X1)
| ~ rcenter(vd1080,X1)
| ~ ron(vd1085,X1)
| ~ rpoint(vskolem1052(vd1085,vd1085,vd1080,vd1080)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_321]),c_0_308])]) ).
cnf(c_0_328,plain,
( X1 = X2
| rcenter(X1,esk5_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_326])]) ).
cnf(c_0_329,plain,
( X1 = X2
| ron(X1,esk5_2(X2,X1))
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
i_0_33 ).
cnf(c_0_330,plain,
( ron(X1,X2)
| vf(vd1080,X1) != vf(vd1080,vd1089)
| ~ rcenter(vd1080,X2)
| ~ ron(vskolem1052(vd1085,vd1085,vd1080,vd1080),X2)
| ~ rpoint(vskolem1052(vd1085,vd1085,vd1080,vd1080))
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_323,c_0_324]) ).
cnf(c_0_331,plain,
( vd1080 = X1
| ron(vskolem1052(vd1085,vd1085,vd1080,vd1080),esk5_2(vd1080,X1))
| ~ ron(vd1085,esk5_2(vd1080,X1))
| ~ rpoint(vskolem1052(vd1085,vd1085,vd1080,vd1080))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_314])]) ).
cnf(c_0_332,plain,
( X1 = X2
| ron(X1,esk5_2(X2,X1))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_329])]) ).
cnf(c_0_333,plain,
( X1 = X2
| rpoint(vskolem1052(X2,X3,X1,X4))
| X2 != X3
| X1 != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
i_0_43 ).
cnf(c_0_334,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_270 ).
cnf(c_0_335,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_269 ).
cnf(c_0_336,plain,
( ron(vd1085,X1)
| ~ rcenter(vd1080,X1)
| ~ ron(vskolem1052(vd1085,vd1085,vd1080,vd1080),X1)
| ~ rpoint(vskolem1052(vd1085,vd1085,vd1080,vd1080)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_321]),c_0_308])]) ).
cnf(c_0_337,plain,
( ron(vskolem1052(vd1085,vd1085,vd1080,vd1080),esk5_2(vd1080,vd1085))
| ~ rpoint(vskolem1052(vd1085,vd1085,vd1080,vd1080)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_308]),c_0_314])]),c_0_322]) ).
cnf(c_0_338,plain,
( X1 = X2
| rpoint(vskolem1052(X2,X2,X1,X1))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_333])]) ).
cnf(c_0_339,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_334])]) ).
cnf(c_0_340,plain,
( vf(X1,X2) = v0
| X2 != X3
| X1 != X4
| X1 != X2
| ~ rpoint(X4)
| ~ rpoint(X3) ),
i_0_53 ).
cnf(c_0_341,plain,
( rless(vf(X1,X2),vf(X1,X3))
| ~ rcenter(X1,X4)
| ~ rinside(X2,X4)
| ~ ron(X3,X4)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_335])]) ).
cnf(c_0_342,plain,
( rinside(X1,X2)
| ~ rcenter(X1,X2) ),
i_0_45 ).
cnf(c_0_343,plain,
( vd1080 = X1
| ron(vd1085,esk5_2(vd1080,X1))
| ~ ron(vskolem1052(vd1085,vd1085,vd1080,vd1080),esk5_2(vd1080,X1))
| ~ rpoint(vskolem1052(vd1085,vd1085,vd1080,vd1080))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_328]),c_0_314])]) ).
cnf(c_0_344,plain,
ron(vskolem1052(vd1085,vd1085,vd1080,vd1080),esk5_2(vd1080,vd1085)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_314]),c_0_308])]),c_0_322]) ).
cnf(c_0_345,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_346,plain,
rcenter(vd1080,vskolem1095),
i_0_5 ).
cnf(c_0_347,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_348,plain,
( X1 = X2
| rinside(X3,esk5_2(X1,X2))
| ~ rless(vf(X1,X3),vf(X1,X4))
| ~ ron(X4,esk5_2(X1,X2))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_339,c_0_328]) ).
cnf(c_0_349,plain,
( vf(X1,X1) = v0
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_340])])]) ).
cnf(c_0_350,plain,
( X1 = X2
| rless(vf(X1,X3),vf(X1,X4))
| ~ rinside(X3,esk5_2(X1,X2))
| ~ ron(X4,esk5_2(X1,X2))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_341,c_0_328]) ).
cnf(c_0_351,plain,
( X1 = X2
| rinside(X1,esk5_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_342,c_0_328]) ).
cnf(c_0_352,plain,
( ron(vd1085,esk5_2(vd1080,vd1085))
| ~ rpoint(vskolem1052(vd1085,vd1085,vd1080,vd1080)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_308])]),c_0_322]) ).
cnf(c_0_353,plain,
( esk48_2(X1,X2) = X2
| ~ rcenter(X1,X2) ),
i_0_244 ).
cnf(c_0_354,plain,
( X1 = X2
| rR(X1,esk1_7(X3,X3,X4,X4,X1,X1,X2),X2)
| ~ rinside(X1,X3)
| ~ rline(X4)
| ~ rcircle(X3)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_345])])])]) ).
cnf(c_0_355,plain,
rinside(vd1080,vskolem1095),
inference(spm,[status(thm)],[c_0_342,c_0_346]) ).
cnf(c_0_356,plain,
rcircle(vskolem1095),
i_0_4 ).
cnf(c_0_357,plain,
( X1 = X2
| rpoint(esk1_7(X3,X3,X4,X4,X1,X1,X2))
| ~ rinside(X1,X3)
| ~ rline(X4)
| ~ rcircle(X3)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_347])])])]) ).
cnf(c_0_358,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_359,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_360,plain,
( vd1080 = X1
| rinside(X2,esk5_2(vd1080,X1))
| ~ rless(vf(vd1080,X2),vf(vd1080,vd1089))
| ~ ron(vd1085,esk5_2(vd1080,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_321]),c_0_308]),c_0_314])]) ).
cnf(c_0_361,plain,
vf(vd1080,vd1080) = v0,
inference(spm,[status(thm)],[c_0_349,c_0_314]) ).
cnf(c_0_362,plain,
( X1 = X2
| rless(vf(X1,X1),vf(X1,X3))
| ~ ron(X3,esk5_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_350,c_0_351]) ).
cnf(c_0_363,plain,
ron(vd1085,esk5_2(vd1080,vd1085)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_338]),c_0_314]),c_0_308])]),c_0_322]) ).
cnf(c_0_364,plain,
( esk48_2(X1,esk5_2(X1,X2)) = esk5_2(X1,X2)
| X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_353,c_0_328]) ).
cnf(c_0_365,plain,
( ron(vd1089,X1)
| ~ rcenter(vd1080,X1)
| ~ ron(vskolem1052(vd1085,vd1085,vd1080,vd1080),X1)
| ~ rpoint(vskolem1052(vd1085,vd1085,vd1080,vd1080)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_330]),c_0_312])]) ).
cnf(c_0_366,plain,
( rR(X1,X2,X3)
| X3 != X4
| X2 != X5
| X1 != X6
| ~ rpoint(X4)
| ~ rpoint(X6)
| ~ rpoint(X5)
| ~ rR(X1,X3,X2) ),
i_0_7 ).
cnf(c_0_367,plain,
( vd1080 = X1
| rR(vd1080,esk1_7(vskolem1095,vskolem1095,X2,X2,vd1080,vd1080,X1),X1)
| ~ rline(X2)
| ~ ron(vd1080,X2)
| ~ ron(X1,X2)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_356]),c_0_314])]) ).
cnf(c_0_368,plain,
ron(vd1089,vskolem1092),
i_0_22 ).
cnf(c_0_369,plain,
rline(vskolem1092),
i_0_20 ).
cnf(c_0_370,plain,
ron(vd1080,vskolem1092),
i_0_21 ).
cnf(c_0_371,plain,
( vd1080 = X1
| rpoint(esk1_7(vskolem1095,vskolem1095,X2,X2,vd1080,vd1080,X1))
| ~ rline(X2)
| ~ ron(vd1080,X2)
| ~ ron(X1,X2)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_355]),c_0_356]),c_0_314])]) ).
cnf(c_0_372,plain,
( X1 = X2
| ron(esk1_7(X3,X3,X4,X4,X1,X1,X2),X3)
| ~ rinside(X1,X3)
| ~ rline(X4)
| ~ rcircle(X3)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_358])])])]) ).
cnf(c_0_373,plain,
( X1 = X2
| ron(esk1_7(X3,X3,X4,X4,X1,X1,X2),X4)
| ~ rinside(X1,X3)
| ~ rline(X4)
| ~ rcircle(X3)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_359])])])]) ).
cnf(c_0_374,plain,
( vd1080 = X1
| rinside(vd1080,esk5_2(vd1080,X1))
| ~ rless(v0,vf(vd1080,vd1089))
| ~ ron(vd1085,esk5_2(vd1080,X1))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_314])]) ).
cnf(c_0_375,plain,
rless(v0,vf(vd1080,vd1089)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_361]),c_0_321]),c_0_314]),c_0_308])]),c_0_322]) ).
cnf(c_0_376,plain,
( rcircle(esk48_2(X1,X2))
| ~ rcenter(X1,X2) ),
i_0_243 ).
cnf(c_0_377,plain,
( esk48_2(vd1080,esk5_2(vd1080,X1)) = esk5_2(vd1080,X1)
| vd1080 = X1
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_364,c_0_314]) ).
cnf(c_0_378,plain,
( vd1080 = X1
| ron(vd1089,esk5_2(vd1080,X1))
| ~ ron(vskolem1052(vd1085,vd1085,vd1080,vd1080),esk5_2(vd1080,X1))
| ~ rpoint(vskolem1052(vd1085,vd1085,vd1080,vd1080))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_328]),c_0_314])]) ).
cnf(c_0_379,negated_conjecture,
( ~ rpoint(X1)
| ~ ron(X1,vd1091)
| ~ ron(X1,vd1094)
| ~ rR(vd1080,vd1089,X1) ),
i_0_1 ).
cnf(c_0_380,plain,
vd1091 = vskolem1092,
i_0_18 ).
cnf(c_0_381,plain,
vskolem1095 = vd1094,
i_0_2 ).
cnf(c_0_382,plain,
( rR(X1,X2,X3)
| ~ rR(X1,X3,X2)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_366])])]) ).
cnf(c_0_383,plain,
( vd1089 = vd1080
| rR(vd1080,esk1_7(vskolem1095,vskolem1095,vskolem1092,vskolem1092,vd1080,vd1080,vd1089),vd1089) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_369]),c_0_370]),c_0_312])]) ).
cnf(c_0_384,plain,
( vd1089 = vd1080
| rpoint(esk1_7(vskolem1095,vskolem1095,vskolem1092,vskolem1092,vd1080,vd1080,vd1089)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_368]),c_0_369]),c_0_370]),c_0_312])]) ).
cnf(c_0_385,plain,
( vd1080 = X1
| ron(esk1_7(vskolem1095,vskolem1095,X2,X2,vd1080,vd1080,X1),vskolem1095)
| ~ rline(X2)
| ~ ron(vd1080,X2)
| ~ ron(X1,X2)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_355]),c_0_356]),c_0_314])]) ).
cnf(c_0_386,plain,
( vd1080 = X1
| ron(esk1_7(vskolem1095,vskolem1095,X2,X2,vd1080,vd1080,X1),X2)
| ~ rline(X2)
| ~ ron(vd1080,X2)
| ~ ron(X1,X2)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_355]),c_0_356]),c_0_314])]) ).
cnf(c_0_387,plain,
( X1 != X2
| X3 != X4
| ~ rpoint(X4)
| ~ rcircle(X2)
| ~ ron(X3,X1)
| ~ rinside(X3,X1) ),
i_0_26 ).
cnf(c_0_388,plain,
( vd1080 = X1
| rinside(vd1080,esk5_2(vd1080,X1))
| ~ ron(vd1085,esk5_2(vd1080,X1))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_375])]) ).
cnf(c_0_389,plain,
( X1 = X2
| rcircle(esk48_2(X1,esk5_2(X1,X2)))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_376,c_0_328]) ).
cnf(c_0_390,plain,
esk48_2(vd1080,esk5_2(vd1080,vd1085)) = esk5_2(vd1080,vd1085),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_308]),c_0_322]) ).
cnf(c_0_391,plain,
( ron(vd1089,esk5_2(vd1080,vd1085))
| ~ rpoint(vskolem1052(vd1085,vd1085,vd1080,vd1080)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_344]),c_0_308])]),c_0_322]) ).
cnf(c_0_392,negated_conjecture,
( ~ rR(vd1080,vd1089,X1)
| ~ ron(X1,vskolem1092)
| ~ ron(X1,vskolem1095)
| ~ rpoint(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_379,c_0_380]),c_0_381]) ).
cnf(c_0_393,plain,
( vd1089 = vd1080
| rR(vd1080,vd1089,esk1_7(vskolem1095,vskolem1095,vskolem1092,vskolem1092,vd1080,vd1080,vd1089)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_314]),c_0_312])]),c_0_384]) ).
cnf(c_0_394,plain,
( vd1089 = vd1080
| ron(esk1_7(vskolem1095,vskolem1095,vskolem1092,vskolem1092,vd1080,vd1080,vd1089),vskolem1095) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_368]),c_0_369]),c_0_370]),c_0_312])]) ).
cnf(c_0_395,plain,
( vd1089 = vd1080
| ron(esk1_7(vskolem1095,vskolem1095,vskolem1092,vskolem1092,vd1080,vd1080,vd1089),vskolem1092) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_368]),c_0_369]),c_0_370]),c_0_312])]) ).
cnf(c_0_396,plain,
( ~ rinside(X1,X2)
| ~ rcircle(X2)
| ~ ron(X1,X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_387])]) ).
cnf(c_0_397,plain,
rinside(vd1080,esk5_2(vd1080,vd1085)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_332]),c_0_308]),c_0_314])]),c_0_322]) ).
cnf(c_0_398,plain,
rcircle(esk5_2(vd1080,vd1085)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_314]),c_0_308])]),c_0_322]) ).
cnf(c_0_399,plain,
ron(vd1089,esk5_2(vd1080,vd1085)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_338]),c_0_314]),c_0_308])]),c_0_322]) ).
cnf(c_0_400,negated_conjecture,
vd1089 = vd1080,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_384]),c_0_394]),c_0_395]) ).
cnf(c_0_401,plain,
~ ron(vd1080,esk5_2(vd1080,vd1085)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_397]),c_0_398]),c_0_314])]) ).
cnf(c_0_402,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_399,c_0_400]),c_0_401]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO276+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n016.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 23:36:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 158.80/21.64 # ENIGMATIC: Solved by autoschedule-lgb:
% 158.80/21.64 # No SInE strategy applied
% 158.80/21.64 # Trying AutoSched0 for 150 seconds
% 158.80/21.64 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 158.80/21.64 # and selection function SelectCQArNTNpEqFirst.
% 158.80/21.64 #
% 158.80/21.64 # Preprocessing time : 0.018 s
% 158.80/21.64 # Presaturation interreduction done
% 158.80/21.64
% 158.80/21.64 # Proof found!
% 158.80/21.64 # SZS status Theorem
% 158.80/21.64 # SZS output start CNFRefutation
% See solution above
% 158.80/21.64 # Training examples: 0 positive, 0 negative
% 158.80/21.64
% 158.80/21.64 # -------------------------------------------------
% 158.80/21.64 # User time : 18.359 s
% 158.80/21.64 # System time : 0.388 s
% 158.80/21.64 # Total time : 18.747 s
% 158.80/21.64 # Maximum resident set size: 7120 pages
% 158.80/21.64
%------------------------------------------------------------------------------