%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO608+1 : TPTP v8.1.0. Released v7.5.0.
% 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 03:46:33 EDT 2022
% Result : Theorem 9.14s 2.60s
% Output : CNFRefutation 9.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 30
% Syntax : Number of formulae : 151 ( 45 unt; 0 def)
% Number of atoms : 327 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 290 ( 114 ~; 111 |; 34 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-4 aty)
% Number of variables : 518 ( 29 sgn 286 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(exemplo6GDDFULL618070,conjecture,
! [X9,X1,X2,X8,X19,X20,X21,X22,X23,X24,X25] :
( ( midp(X8,X2,X1)
& circle(X8,X1,X22,X23)
& coll(X19,X9,X1)
& circle(X8,X1,X19,X24)
& coll(X20,X9,X2)
& circle(X8,X1,X20,X25)
& circle(X21,X9,X19,X20) )
=> perp(X8,X19,X19,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618070) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& coll(X9,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X1,X2,X3,X4)
& cong(X3,X4,X5,X6) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD43,axiom,
! [X1,X2,X3,X9,X10,X15] :
( ( cyclic(X1,X2,X3,X9)
& cyclic(X1,X2,X3,X10)
& cyclic(X1,X2,X3,X15)
& eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
=> cong(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X4)
& cyclic(X1,X2,X3,X5) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(ruleD75,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
& cong(X9,X10,X11,X12) )
=> cong(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(ruleD70,axiom,
! [X1,X2,X3,X4,X7,X17] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(ruleD53,axiom,
! [X1,X2,X3,X8] :
( ( circle(X8,X1,X2,X3)
& coll(X8,X1,X3) )
=> perp(X1,X2,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(ruleD12,axiom,
! [X1,X2,X3,X8] :
( ( cong(X8,X1,X8,X2)
& cong(X8,X1,X8,X3) )
=> circle(X8,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(c_0_30,plain,
! [X58,X59,X60,X61,X62,X63] :
( ~ perp(X58,X59,X60,X61)
| ~ perp(X60,X61,X62,X63)
| para(X58,X59,X62,X63) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_31,plain,
! [X500,X501,X502,X503] :
( ~ circle(X503,X500,X501,X502)
| perp(esk12_4(X500,X501,X502,X503),X500,X500,X503) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_32,plain,
! [X54,X55,X56,X57] :
( ~ perp(X54,X55,X56,X57)
| perp(X56,X57,X54,X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_33,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_36,negated_conjecture,
~ ! [X9,X1,X2,X8,X19,X20,X21,X22,X23,X24,X25] :
( ( midp(X8,X2,X1)
& circle(X8,X1,X22,X23)
& coll(X19,X9,X1)
& circle(X8,X1,X19,X24)
& coll(X20,X9,X2)
& circle(X8,X1,X20,X25)
& circle(X21,X9,X19,X20) )
=> perp(X8,X19,X19,X21) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618070]) ).
cnf(c_0_37,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
fof(c_0_39,negated_conjecture,
( midp(esk24_0,esk23_0,esk22_0)
& circle(esk24_0,esk22_0,esk28_0,esk29_0)
& coll(esk25_0,esk21_0,esk22_0)
& circle(esk24_0,esk22_0,esk25_0,esk30_0)
& coll(esk26_0,esk21_0,esk23_0)
& circle(esk24_0,esk22_0,esk26_0,esk31_0)
& circle(esk27_0,esk21_0,esk25_0,esk26_0)
& ~ perp(esk24_0,esk25_0,esk25_0,esk27_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
fof(c_0_40,plain,
! [X36,X37,X38,X39] :
( ~ para(X36,X37,X38,X39)
| para(X36,X37,X39,X38) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_41,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
circle(esk27_0,esk21_0,esk25_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_43,plain,
! [X107,X108,X109,X110,X111,X112,X113,X114] :
( ~ eqangle(X107,X108,X109,X110,X111,X112,X113,X114)
| eqangle(X109,X110,X107,X108,X113,X114,X111,X112) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_44,plain,
! [X261,X262,X263,X264,X265,X266] :
( ~ para(X261,X262,X263,X264)
| eqangle(X261,X262,X265,X266,X263,X264,X265,X266) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_45,plain,
! [X40,X41,X42,X43] :
( ~ para(X40,X41,X42,X43)
| para(X42,X43,X40,X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_46,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,negated_conjecture,
para(esk21_0,esk27_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_48,plain,
! [X255,X256,X257,X258,X259,X260] :
( ~ eqangle(X255,X256,X259,X260,X257,X258,X259,X260)
| para(X255,X256,X257,X258) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_49,plain,
( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,negated_conjecture,
para(esk21_0,esk27_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_53,plain,
! [X399,X400,X401] :
( ~ midp(X399,X400,X401)
| coll(X399,X400,X401) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
cnf(c_0_54,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
para(esk27_0,esk21_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_57,plain,
! [X29,X30,X31] :
( ~ coll(X29,X30,X31)
| coll(X30,X29,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_58,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
midp(esk24_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_60,plain,
! [X390,X391,X392] :
( ~ para(X390,X391,X390,X392)
| coll(X390,X391,X392) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_61,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_62,negated_conjecture,
para(esk27_0,esk21_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_46,c_0_56]) ).
fof(c_0_63,plain,
! [X26,X27,X28] :
( ~ coll(X26,X27,X28)
| coll(X26,X28,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_64,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_65,negated_conjecture,
coll(esk24_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_66,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_67,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_68,plain,
! [X396,X397,X398] :
( ~ midp(X396,X397,X398)
| cong(X396,X397,X396,X398) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_69,plain,
! [X32,X33,X34,X35] :
( ~ coll(X32,X33,X34)
| ~ coll(X32,X33,X35)
| coll(X34,X35,X32) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_70,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_71,negated_conjecture,
coll(esk23_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_72,plain,
! [X275,X276,X277,X278] :
( ~ eqangle(X277,X275,X277,X276,X278,X275,X278,X276)
| ~ coll(X277,X278,X276)
| cyclic(X275,X276,X277,X278) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
cnf(c_0_73,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_74,plain,
! [X143,X144,X145,X146] :
( ~ cong(X143,X144,X145,X146)
| cong(X143,X144,X146,X145) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_75,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_76,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_77,negated_conjecture,
coll(esk23_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_78,plain,
( cyclic(X2,X3,X1,X4)
| ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ coll(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_79,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_64,c_0_73]) ).
cnf(c_0_80,negated_conjecture,
circle(esk24_0,esk22_0,esk28_0,esk29_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_81,plain,
! [X151,X152,X153,X154,X155,X156] :
( ~ cong(X151,X152,X153,X154)
| ~ cong(X153,X154,X155,X156)
| cong(X151,X152,X155,X156) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
fof(c_0_82,plain,
! [X147,X148,X149,X150] :
( ~ cong(X147,X148,X149,X150)
| cong(X149,X150,X147,X148) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_83,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_84,negated_conjecture,
cong(esk24_0,esk23_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_75,c_0_59]) ).
cnf(c_0_85,negated_conjecture,
( coll(X1,esk24_0,esk23_0)
| ~ coll(esk23_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
fof(c_0_86,plain,
! [X86,X87,X88,X89] :
( ~ cyclic(X86,X87,X88,X89)
| cyclic(X86,X88,X87,X89) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_87,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_50]) ).
cnf(c_0_88,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_70,c_0_79]) ).
cnf(c_0_89,negated_conjecture,
para(esk22_0,esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_41,c_0_80]) ).
cnf(c_0_90,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_91,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_92,negated_conjecture,
cong(esk24_0,esk23_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_93,negated_conjecture,
coll(esk24_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_85,c_0_77]) ).
fof(c_0_94,plain,
! [X82,X83,X84,X85] :
( ~ cyclic(X82,X83,X84,X85)
| cyclic(X82,X83,X85,X84) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_95,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_96,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_67])]),c_0_88])]) ).
cnf(c_0_97,negated_conjecture,
para(esk22_0,esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_46,c_0_89]) ).
cnf(c_0_98,negated_conjecture,
( cong(X1,X2,esk24_0,esk22_0)
| ~ cong(X1,X2,esk24_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_84]) ).
cnf(c_0_99,negated_conjecture,
cong(esk22_0,esk24_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_100,negated_conjecture,
( coll(X1,esk22_0,esk24_0)
| ~ coll(esk24_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_65]) ).
cnf(c_0_101,negated_conjecture,
coll(esk24_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_70,c_0_93]) ).
fof(c_0_102,plain,
! [X90,X91,X92,X93] :
( ~ cyclic(X90,X91,X92,X93)
| cyclic(X91,X90,X92,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_103,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_104,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
fof(c_0_105,plain,
! [X380,X381,X382,X383,X384] :
( ~ midp(X384,X380,X381)
| ~ para(X380,X382,X381,X383)
| ~ para(X380,X383,X381,X382)
| midp(X384,X382,X383) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_106,negated_conjecture,
para(esk24_0,esk22_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_51,c_0_97]) ).
fof(c_0_107,plain,
! [X393,X394,X395] :
( ~ cong(X393,X394,X393,X395)
| ~ coll(X393,X394,X395)
| midp(X393,X394,X395) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_108,negated_conjecture,
cong(esk22_0,esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_109,negated_conjecture,
coll(esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
fof(c_0_110,plain,
! [X279,X280,X281,X282,X283,X284] :
( ~ cyclic(X279,X280,X281,X282)
| ~ cyclic(X279,X280,X281,X283)
| ~ cyclic(X279,X280,X281,X284)
| ~ eqangle(X281,X279,X281,X280,X284,X282,X284,X283)
| cong(X279,X280,X282,X283) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_111,plain,
! [X94,X95,X96,X97,X98] :
( ~ cyclic(X94,X95,X96,X97)
| ~ cyclic(X94,X95,X96,X98)
| cyclic(X95,X96,X97,X98) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_112,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_113,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_114,plain,
( midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| ~ para(X2,X4,X3,X5)
| ~ para(X2,X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_115,negated_conjecture,
para(esk24_0,esk22_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_46,c_0_106]) ).
cnf(c_0_116,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_117,negated_conjecture,
cong(esk22_0,esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_83,c_0_108]) ).
cnf(c_0_118,negated_conjecture,
coll(esk22_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_64,c_0_109]) ).
cnf(c_0_119,plain,
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X6)
| ~ eqangle(X3,X1,X3,X2,X6,X4,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_120,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_121,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
fof(c_0_122,plain,
! [X432,X433,X434,X435,X436,X437,X438,X439] :
( ~ eqratio(X432,X433,X434,X435,X436,X437,X438,X439)
| ~ cong(X436,X437,X438,X439)
| cong(X432,X433,X434,X435) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_123,plain,
! [X402,X403,X404,X405,X406,X407] :
( ~ midp(X406,X402,X403)
| ~ midp(X407,X404,X405)
| eqratio(X406,X402,X402,X403,X407,X404,X404,X405) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_124,negated_conjecture,
( midp(X1,esk22_0,esk22_0)
| ~ midp(X1,esk24_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_115])]) ).
cnf(c_0_125,negated_conjecture,
midp(esk22_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118])]) ).
cnf(c_0_126,plain,
( cong(X1,X2,X3,X2)
| ~ cyclic(X1,X2,X4,X4)
| ~ cyclic(X1,X2,X4,X2)
| ~ cyclic(X1,X2,X4,X3)
| ~ para(X4,X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_119,c_0_50]) ).
cnf(c_0_127,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_121])]) ).
cnf(c_0_128,plain,
( cong(X1,X2,X3,X4)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ cong(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_129,plain,
( eqratio(X1,X2,X2,X3,X4,X5,X5,X6)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_130,negated_conjecture,
midp(esk22_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_131,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_88]),c_0_88])]) ).
cnf(c_0_132,plain,
( cong(X1,X2,X3,X2)
| ~ para(X4,X1,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_96])]),c_0_127]),c_0_127])]) ).
cnf(c_0_133,plain,
( cong(X1,X2,X2,X3)
| ~ cong(X4,X5,X5,X6)
| ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_134,negated_conjecture,
cong(esk22_0,esk22_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_75,c_0_130]) ).
cnf(c_0_135,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_131])]) ).
cnf(c_0_136,negated_conjecture,
cong(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_132,c_0_67]) ).
cnf(c_0_137,negated_conjecture,
( cong(X1,X2,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_130])]) ).
cnf(c_0_138,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_139,negated_conjecture,
cong(X1,X2,X2,X2),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
fof(c_0_140,plain,
! [X325,X326,X327,X328] :
( ~ circle(X328,X325,X326,X327)
| ~ coll(X328,X325,X327)
| perp(X325,X326,X326,X327) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])]) ).
fof(c_0_141,plain,
! [X73,X74,X75,X76] :
( ~ cong(X76,X73,X76,X74)
| ~ cong(X76,X73,X76,X75)
| circle(X76,X73,X74,X75) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])]) ).
cnf(c_0_142,negated_conjecture,
cong(X1,X1,X2,X1),
inference(spm,[status(thm)],[c_0_91,c_0_139]) ).
cnf(c_0_143,plain,
( perp(X2,X3,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_144,plain,
( circle(X1,X2,X3,X4)
| ~ cong(X1,X2,X1,X3)
| ~ cong(X1,X2,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_145,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_83,c_0_142]) ).
cnf(c_0_146,plain,
( perp(X1,X2,X2,X3)
| ~ circle(X4,X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_131])]) ).
cnf(c_0_147,negated_conjecture,
circle(X1,X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_145])]) ).
cnf(c_0_148,negated_conjecture,
~ perp(esk24_0,esk25_0,esk25_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_149,negated_conjecture,
perp(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_150,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO608+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 04:39:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.14/2.60 # ENIGMATIC: Solved by autoschedule:
% 9.14/2.60 # No SInE strategy applied
% 9.14/2.60 # Trying AutoSched0 for 150 seconds
% 9.14/2.60 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.14/2.60 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.14/2.60 #
% 9.14/2.60 # Preprocessing time : 0.032 s
% 9.14/2.60 # Presaturation interreduction done
% 9.14/2.60
% 9.14/2.60 # Proof found!
% 9.14/2.60 # SZS status Theorem
% 9.14/2.60 # SZS output start CNFRefutation
% See solution above
% 9.14/2.60 # Training examples: 0 positive, 0 negative
% 9.14/2.60
% 9.14/2.60 # -------------------------------------------------
% 9.14/2.60 # User time : 0.205 s
% 9.14/2.60 # System time : 0.008 s
% 9.14/2.60 # Total time : 0.213 s
% 9.14/2.60 # Maximum resident set size: 7124 pages
% 9.14/2.60
%------------------------------------------------------------------------------