TSTP Solution File: GEO636+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO636+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 03:46:42 EDT 2022
% Result : Theorem 8.32s 2.63s
% Output : CNFRefutation 8.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 26
% Syntax : Number of formulae : 117 ( 24 unt; 0 def)
% Number of atoms : 264 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 245 ( 98 ~; 95 |; 25 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 448 ( 29 sgn 238 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL8110999,conjecture,
! [X1,X2,X3,X7,X17,X10,X9] :
( ( eqangle(X3,X1,X1,X17,X7,X1,X1,X2)
& perp(X10,X7,X1,X2)
& coll(X10,X1,X2)
& perp(X9,X7,X1,X3)
& coll(X9,X1,X3) )
=> perp(X1,X17,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110999) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(c_0_26,negated_conjecture,
~ ! [X1,X2,X3,X7,X17,X10,X9] :
( ( eqangle(X3,X1,X1,X17,X7,X1,X1,X2)
& perp(X10,X7,X1,X2)
& coll(X10,X1,X2)
& perp(X9,X7,X1,X3)
& coll(X9,X1,X3) )
=> perp(X1,X17,X9,X10) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110999]) ).
fof(c_0_27,plain,
! [X47,X48,X49,X50] :
( ~ perp(X47,X48,X49,X50)
| perp(X49,X50,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_28,negated_conjecture,
( eqangle(esk23_0,esk21_0,esk21_0,esk25_0,esk24_0,esk21_0,esk21_0,esk22_0)
& perp(esk26_0,esk24_0,esk21_0,esk22_0)
& coll(esk26_0,esk21_0,esk22_0)
& perp(esk27_0,esk24_0,esk21_0,esk23_0)
& coll(esk27_0,esk21_0,esk23_0)
& ~ perp(esk21_0,esk25_0,esk27_0,esk26_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_29,plain,
! [X51,X52,X53,X54,X55,X56] :
( ~ perp(X51,X52,X53,X54)
| ~ perp(X53,X54,X55,X56)
| para(X51,X52,X55,X56) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
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(esk27_0,esk24_0,esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_32,plain,
! [X100,X101,X102,X103,X104,X105,X106,X107] :
( ~ eqangle(X100,X101,X102,X103,X104,X105,X106,X107)
| eqangle(X102,X103,X100,X101,X106,X107,X104,X105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_33,plain,
! [X254,X255,X256,X257,X258,X259] :
( ~ para(X254,X255,X256,X257)
| eqangle(X254,X255,X258,X259,X256,X257,X258,X259) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_34,plain,
! [X33,X34,X35,X36] :
( ~ para(X33,X34,X35,X36)
| para(X35,X36,X33,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_35,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
perp(esk21_0,esk23_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_37,plain,
! [X43,X44,X45,X46] :
( ~ perp(X43,X44,X45,X46)
| perp(X43,X44,X46,X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
fof(c_0_38,plain,
! [X248,X249,X250,X251,X252,X253] :
( ~ eqangle(X248,X249,X252,X253,X250,X251,X252,X253)
| para(X248,X249,X250,X251) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_39,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_32]) ).
cnf(c_0_40,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_41,plain,
! [X29,X30,X31,X32] :
( ~ para(X29,X30,X31,X32)
| para(X29,X30,X32,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_42,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,negated_conjecture,
( para(X1,X2,esk27_0,esk24_0)
| ~ perp(X1,X2,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,negated_conjecture,
( para(esk27_0,esk24_0,X1,X2)
| ~ perp(X1,X2,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,negated_conjecture,
perp(esk21_0,esk23_0,esk24_0,esk27_0),
inference(spm,[status(thm)],[c_0_44,c_0_36]) ).
fof(c_0_50,plain,
! [X383,X384,X385] :
( ~ para(X383,X384,X383,X385)
| coll(X383,X384,X385) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_51,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( para(esk27_0,esk24_0,X1,X2)
| ~ perp(X2,X1,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
perp(esk24_0,esk27_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_30,c_0_49]) ).
fof(c_0_54,plain,
! [X22,X23,X24] :
( ~ coll(X22,X23,X24)
| coll(X23,X22,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_55,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
fof(c_0_57,plain,
! [X19,X20,X21] :
( ~ coll(X19,X20,X21)
| coll(X19,X21,X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_58,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_60,plain,
! [X268,X269,X270,X271] :
( ~ eqangle(X270,X268,X270,X269,X271,X268,X271,X269)
| ~ coll(X270,X271,X269)
| cyclic(X268,X269,X270,X271) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_61,plain,
! [X25,X26,X27,X28] :
( ~ coll(X25,X26,X27)
| ~ coll(X25,X26,X28)
| coll(X27,X28,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_62,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_63,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,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_60]) ).
cnf(c_0_65,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_66,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
fof(c_0_67,plain,
! [X79,X80,X81,X82] :
( ~ cyclic(X79,X80,X81,X82)
| cyclic(X79,X81,X80,X82) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_68,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_40]) ).
cnf(c_0_69,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_66])]) ).
fof(c_0_70,plain,
! [X75,X76,X77,X78] :
( ~ cyclic(X75,X76,X77,X78)
| cyclic(X75,X76,X78,X77) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_71,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_72,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_56])]),c_0_69])]) ).
fof(c_0_73,plain,
! [X83,X84,X85,X86] :
( ~ cyclic(X83,X84,X85,X86)
| cyclic(X84,X83,X85,X86) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_74,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_75,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
fof(c_0_76,plain,
! [X272,X273,X274,X275,X276,X277] :
( ~ cyclic(X272,X273,X274,X275)
| ~ cyclic(X272,X273,X274,X276)
| ~ cyclic(X272,X273,X274,X277)
| ~ eqangle(X274,X272,X274,X273,X277,X275,X277,X276)
| cong(X272,X273,X275,X276) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_77,plain,
! [X87,X88,X89,X90,X91] :
( ~ cyclic(X87,X88,X89,X90)
| ~ cyclic(X87,X88,X89,X91)
| cyclic(X88,X89,X90,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_78,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_79,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,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_76]) ).
cnf(c_0_81,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
fof(c_0_83,plain,
! [X283,X284,X285,X286,X287] :
( ~ midp(X286,X283,X284)
| ~ para(X286,X287,X284,X285)
| ~ coll(X287,X283,X285)
| midp(X287,X283,X285) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
fof(c_0_84,plain,
! [X386,X387,X388] :
( ~ cong(X386,X387,X386,X388)
| ~ coll(X386,X387,X388)
| midp(X386,X387,X388) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_85,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_80,c_0_40]) ).
cnf(c_0_86,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_82])]) ).
fof(c_0_87,plain,
! [X409,X410,X411,X412,X413,X414,X415,X416] :
( ~ eqangle(X409,X410,X411,X412,X413,X414,X415,X416)
| ~ para(X413,X414,X415,X416)
| para(X409,X410,X411,X412) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_88,plain,
! [X260,X261,X262,X263] :
( ~ cyclic(X260,X261,X262,X263)
| eqangle(X262,X260,X262,X261,X263,X260,X263,X261) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
cnf(c_0_89,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_83]) ).
cnf(c_0_90,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_91,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_85,c_0_72])]),c_0_86]),c_0_86])]) ).
cnf(c_0_92,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_87]) ).
cnf(c_0_93,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
fof(c_0_94,plain,
! [X288,X289,X290] :
( ~ cong(X290,X288,X290,X289)
| eqangle(X290,X288,X288,X289,X288,X289,X290,X289) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_95,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_69])]) ).
cnf(c_0_96,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_47,c_0_56]) ).
cnf(c_0_97,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_69])]) ).
cnf(c_0_98,negated_conjecture,
cong(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_91,c_0_56]) ).
cnf(c_0_99,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_100,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
fof(c_0_101,plain,
! [X389,X390,X391] :
( ~ midp(X389,X390,X391)
| cong(X389,X390,X389,X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_102,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_103,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_104,plain,
( para(X1,X2,X1,X3)
| ~ para(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_86])]) ).
cnf(c_0_105,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_100]) ).
cnf(c_0_106,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_107,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_108,plain,
( para(X1,X2,X1,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
fof(c_0_110,plain,
! [X330,X331,X332,X333] :
( ~ cong(X330,X332,X331,X332)
| ~ cong(X330,X333,X331,X333)
| perp(X330,X331,X332,X333) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_111,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109])]) ).
cnf(c_0_112,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_113,plain,
cong(X1,X2,X3,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_111])]) ).
cnf(c_0_114,negated_conjecture,
~ perp(esk21_0,esk25_0,esk27_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_115,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113]),c_0_113])]) ).
cnf(c_0_116,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO636+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n013.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 : Sat Jun 18 02:25:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.32/2.63 # ENIGMATIC: Solved by autoschedule:
% 8.32/2.63 # No SInE strategy applied
% 8.32/2.63 # Trying AutoSched0 for 150 seconds
% 8.32/2.63 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.32/2.63 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.32/2.63 #
% 8.32/2.63 # Preprocessing time : 0.038 s
% 8.32/2.63 # Presaturation interreduction done
% 8.32/2.63
% 8.32/2.63 # Proof found!
% 8.32/2.63 # SZS status Theorem
% 8.32/2.63 # SZS output start CNFRefutation
% See solution above
% 8.32/2.63 # Training examples: 0 positive, 0 negative
% 8.32/2.63
% 8.32/2.63 # -------------------------------------------------
% 8.32/2.63 # User time : 0.175 s
% 8.32/2.63 # System time : 0.011 s
% 8.32/2.63 # Total time : 0.187 s
% 8.32/2.63 # Maximum resident set size: 7120 pages
% 8.32/2.63
%------------------------------------------------------------------------------