TSTP Solution File: GEO582+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO582+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 03:46:25 EDT 2022
% Result : Theorem 9.50s 2.59s
% Output : CNFRefutation 9.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 26
% Syntax : Number of formulae : 123 ( 32 unt; 0 def)
% Number of atoms : 271 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 244 ( 96 ~; 93 |; 28 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 444 ( 31 sgn 242 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416044,conjecture,
! [X1,X2,X3,X8,X4,X19,X20,X21] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X4,X21)
& perp(X1,X2,X1,X19)
& coll(X19,X3,X4)
& perp(X3,X4,X3,X20)
& coll(X20,X1,X2) )
=> para(X4,X2,X19,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416044) ).
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(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(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(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(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(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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
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(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(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(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(ruleD51,axiom,
! [X1,X2,X3,X8,X7] :
( ( circle(X8,X1,X2,X3)
& coll(X7,X2,X3)
& eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
=> midp(X7,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
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(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(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& para(X9,X10,X11,X12) )
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
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(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(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(c_0_26,negated_conjecture,
~ ! [X1,X2,X3,X8,X4,X19,X20,X21] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X4,X21)
& perp(X1,X2,X1,X19)
& coll(X19,X3,X4)
& perp(X3,X4,X3,X20)
& coll(X20,X1,X2) )
=> para(X4,X2,X19,X20) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416044]) ).
fof(c_0_27,plain,
! [X50,X51,X52,X53] :
( ~ perp(X50,X51,X52,X53)
| perp(X52,X53,X50,X51) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_28,negated_conjecture,
( circle(esk24_0,esk21_0,esk22_0,esk23_0)
& circle(esk24_0,esk21_0,esk25_0,esk28_0)
& perp(esk21_0,esk22_0,esk21_0,esk26_0)
& coll(esk26_0,esk23_0,esk25_0)
& perp(esk23_0,esk25_0,esk23_0,esk27_0)
& coll(esk27_0,esk21_0,esk22_0)
& ~ para(esk25_0,esk22_0,esk26_0,esk27_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_29,plain,
! [X46,X47,X48,X49] :
( ~ perp(X46,X47,X48,X49)
| perp(X46,X47,X49,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_30,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,negated_conjecture,
perp(esk23_0,esk25_0,esk23_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,negated_conjecture,
perp(esk23_0,esk27_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
perp(esk23_0,esk27_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_35,plain,
! [X103,X104,X105,X106,X107,X108,X109,X110] :
( ~ eqangle(X103,X104,X105,X106,X107,X108,X109,X110)
| eqangle(X105,X106,X103,X104,X109,X110,X107,X108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_36,plain,
! [X257,X258,X259,X260,X261,X262] :
( ~ para(X257,X258,X259,X260)
| eqangle(X257,X258,X261,X262,X259,X260,X261,X262) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_37,plain,
! [X54,X55,X56,X57,X58,X59] :
( ~ perp(X54,X55,X56,X57)
| ~ perp(X56,X57,X58,X59)
| para(X54,X55,X58,X59) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_38,negated_conjecture,
perp(esk25_0,esk23_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_30,c_0_34]) ).
fof(c_0_39,plain,
! [X251,X252,X253,X254,X255,X256] :
( ~ eqangle(X251,X252,X255,X256,X253,X254,X255,X256)
| para(X251,X252,X253,X254) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_40,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_35]) ).
cnf(c_0_41,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_42,plain,
! [X36,X37,X38,X39] :
( ~ para(X36,X37,X38,X39)
| para(X38,X39,X36,X37) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_43,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,negated_conjecture,
perp(esk25_0,esk23_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_32,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
perp(esk23_0,esk25_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_46,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( para(X1,X2,esk27_0,esk23_0)
| ~ perp(X1,X2,esk25_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,negated_conjecture,
perp(esk27_0,esk23_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_30,c_0_45]) ).
fof(c_0_51,plain,
! [X386,X387,X388] :
( ~ para(X386,X387,X386,X388)
| coll(X386,X387,X388) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_52,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( para(esk27_0,esk23_0,X1,X2)
| ~ perp(X1,X2,esk25_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
perp(esk27_0,esk23_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_32,c_0_50]) ).
fof(c_0_55,plain,
! [X25,X26,X27] :
( ~ coll(X25,X26,X27)
| coll(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_56,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).
fof(c_0_58,plain,
! [X22,X23,X24] :
( ~ coll(X22,X23,X24)
| coll(X22,X24,X23) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_59,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_60,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_61,plain,
! [X271,X272,X273,X274] :
( ~ eqangle(X273,X271,X273,X272,X274,X271,X274,X272)
| ~ coll(X273,X274,X272)
| cyclic(X271,X272,X273,X274) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_62,plain,
! [X28,X29,X30,X31] :
( ~ coll(X28,X29,X30)
| ~ coll(X28,X29,X31)
| coll(X30,X31,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_63,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_64,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,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_61]) ).
cnf(c_0_66,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_67,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
fof(c_0_68,plain,
! [X82,X83,X84,X85] :
( ~ cyclic(X82,X83,X84,X85)
| cyclic(X82,X84,X83,X85) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_69,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_41]) ).
cnf(c_0_70,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_67])]) ).
fof(c_0_71,plain,
! [X78,X79,X80,X81] :
( ~ cyclic(X78,X79,X80,X81)
| cyclic(X78,X79,X81,X80) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_72,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_73,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_57])]),c_0_70])]) ).
fof(c_0_74,plain,
! [X312,X313,X314,X315,X316] :
( ~ circle(X315,X312,X313,X314)
| ~ coll(X316,X313,X314)
| ~ eqangle(X312,X313,X312,X314,X315,X313,X315,X316)
| midp(X316,X313,X314) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_75,plain,
! [X263,X264,X265,X266] :
( ~ cyclic(X263,X264,X265,X266)
| eqangle(X265,X263,X265,X264,X266,X263,X266,X264) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_76,plain,
! [X86,X87,X88,X89] :
( ~ cyclic(X86,X87,X88,X89)
| cyclic(X87,X86,X88,X89) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_77,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_78,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,plain,
( midp(X5,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X5,X3,X4)
| ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_80,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
fof(c_0_81,plain,
! [X90,X91,X92,X93,X94] :
( ~ cyclic(X90,X91,X92,X93)
| ~ cyclic(X90,X91,X92,X94)
| cyclic(X91,X92,X93,X94) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_82,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_83,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_84,plain,
! [X286,X287,X288,X289,X290] :
( ~ midp(X289,X286,X287)
| ~ para(X289,X290,X287,X288)
| ~ coll(X290,X286,X288)
| midp(X290,X286,X288) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_85,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_86,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_87,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_88,plain,
( midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| ~ para(X1,X4,X3,X5)
| ~ coll(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_89,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_64])]) ).
cnf(c_0_90,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_87])]) ).
cnf(c_0_91,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_70])]) ).
cnf(c_0_92,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]) ).
cnf(c_0_93,negated_conjecture,
circle(esk24_0,esk21_0,esk25_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_94,plain,
! [X66,X67,X68] :
( ~ midp(X68,X67,X66)
| midp(X68,X66,X67) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_95,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_91,c_0_57]) ).
cnf(c_0_96,negated_conjecture,
midp(esk28_0,esk25_0,esk28_0),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
fof(c_0_97,plain,
! [X412,X413,X414,X415,X416,X417,X418,X419] :
( ~ eqangle(X412,X413,X414,X415,X416,X417,X418,X419)
| ~ para(X416,X417,X418,X419)
| para(X412,X413,X414,X415) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_98,plain,
! [X291,X292,X293] :
( ~ cong(X293,X291,X293,X292)
| eqangle(X293,X291,X291,X292,X291,X292,X293,X292) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_99,plain,
! [X392,X393,X394] :
( ~ midp(X392,X393,X394)
| cong(X392,X393,X392,X394) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_100,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_101,negated_conjecture,
midp(X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ para(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_103,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_104,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_105,negated_conjecture,
midp(X1,X1,esk25_0),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,negated_conjecture,
cong(X1,X1,X1,esk25_0),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
fof(c_0_108,plain,
! [X376,X377,X378,X379,X380] :
( ~ midp(X380,X376,X377)
| ~ para(X376,X378,X377,X379)
| ~ para(X376,X379,X377,X378)
| midp(X380,X378,X379) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_109,negated_conjecture,
para(X1,X1,X1,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_57])]) ).
cnf(c_0_110,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_108]) ).
cnf(c_0_111,negated_conjecture,
( midp(X1,X2,esk25_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_57]),c_0_57])]) ).
cnf(c_0_113,negated_conjecture,
midp(X1,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_111,c_0_101]) ).
cnf(c_0_114,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_115,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_95,c_0_114]) ).
fof(c_0_116,plain,
! [X281,X282,X283,X284,X285] :
( ~ midp(X284,X281,X282)
| ~ midp(X285,X281,X283)
| para(X284,X285,X282,X283) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_117,negated_conjecture,
midp(X1,X2,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_115])]) ).
cnf(c_0_118,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_119,negated_conjecture,
midp(X1,esk25_0,X2),
inference(spm,[status(thm)],[c_0_100,c_0_117]) ).
cnf(c_0_120,negated_conjecture,
~ para(esk25_0,esk22_0,esk26_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_121,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_119])]) ).
cnf(c_0_122,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO582+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 03:02:04 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.20/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.50/2.59 # ENIGMATIC: Solved by autoschedule:
% 9.50/2.59 # No SInE strategy applied
% 9.50/2.59 # Trying AutoSched0 for 150 seconds
% 9.50/2.59 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.50/2.59 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.50/2.59 #
% 9.50/2.59 # Preprocessing time : 0.033 s
% 9.50/2.59 # Presaturation interreduction done
% 9.50/2.59
% 9.50/2.59 # Proof found!
% 9.50/2.59 # SZS status Theorem
% 9.50/2.59 # SZS output start CNFRefutation
% See solution above
% 9.50/2.59 # Training examples: 0 positive, 0 negative
% 9.50/2.59
% 9.50/2.59 # -------------------------------------------------
% 9.50/2.59 # User time : 0.227 s
% 9.50/2.59 # System time : 0.009 s
% 9.50/2.59 # Total time : 0.236 s
% 9.50/2.59 # Maximum resident set size: 7120 pages
% 9.50/2.59
%------------------------------------------------------------------------------