TSTP Solution File: GEO556+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO556+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 03:46:16 EDT 2022
% Result : Theorem 10.95s 2.73s
% Output : CNFRefutation 10.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 22
% Syntax : Number of formulae : 100 ( 24 unt; 0 def)
% Number of atoms : 256 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 238 ( 82 ~; 79 |; 54 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 401 ( 35 sgn 216 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL012016,conjecture,
! [X1,X2,X8,X7,X9,X10,X4,X3,X19,X20,X21] :
( ( coll(X7,X1,X2)
& perp(X9,X7,X1,X8)
& coll(X9,X1,X8)
& perp(X10,X7,X2,X8)
& coll(X10,X2,X8)
& perp(X4,X2,X1,X8)
& coll(X4,X1,X8)
& perp(X3,X1,X2,X8)
& coll(X3,X2,X8)
& perp(X19,X10,X1,X8)
& coll(X19,X1,X8)
& perp(X20,X9,X2,X8)
& coll(X20,X2,X8)
& coll(X21,X10,X19)
& coll(X21,X9,X20) )
=> perp(X8,X21,X9,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012016) ).
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(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(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(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(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(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(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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(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(ruleD74,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& perp(X9,X10,X11,X12) )
=> perp(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
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(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
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(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(ruleD52,axiom,
! [X1,X2,X3,X7] :
( ( perp(X1,X2,X2,X3)
& midp(X7,X1,X3) )
=> cong(X1,X7,X2,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(c_0_22,negated_conjecture,
~ ! [X1,X2,X8,X7,X9,X10,X4,X3,X19,X20,X21] :
( ( coll(X7,X1,X2)
& perp(X9,X7,X1,X8)
& coll(X9,X1,X8)
& perp(X10,X7,X2,X8)
& coll(X10,X2,X8)
& perp(X4,X2,X1,X8)
& coll(X4,X1,X8)
& perp(X3,X1,X2,X8)
& coll(X3,X2,X8)
& perp(X19,X10,X1,X8)
& coll(X19,X1,X8)
& perp(X20,X9,X2,X8)
& coll(X20,X2,X8)
& coll(X21,X10,X19)
& coll(X21,X9,X20) )
=> perp(X8,X21,X9,X10) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012016]) ).
fof(c_0_23,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_24,negated_conjecture,
( coll(esk24_0,esk21_0,esk22_0)
& perp(esk25_0,esk24_0,esk21_0,esk23_0)
& coll(esk25_0,esk21_0,esk23_0)
& perp(esk26_0,esk24_0,esk22_0,esk23_0)
& coll(esk26_0,esk22_0,esk23_0)
& perp(esk27_0,esk22_0,esk21_0,esk23_0)
& coll(esk27_0,esk21_0,esk23_0)
& perp(esk28_0,esk21_0,esk22_0,esk23_0)
& coll(esk28_0,esk22_0,esk23_0)
& perp(esk29_0,esk26_0,esk21_0,esk23_0)
& coll(esk29_0,esk21_0,esk23_0)
& perp(esk30_0,esk25_0,esk22_0,esk23_0)
& coll(esk30_0,esk22_0,esk23_0)
& coll(esk31_0,esk26_0,esk29_0)
& coll(esk31_0,esk25_0,esk30_0)
& ~ perp(esk23_0,esk31_0,esk25_0,esk26_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_25,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_26,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_27,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_28,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
perp(esk26_0,esk24_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_30,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_31,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_25]) ).
cnf(c_0_32,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_33,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_34,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,negated_conjecture,
perp(esk22_0,esk23_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,negated_conjecture,
perp(esk22_0,esk23_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_40,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_41,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
( para(X1,X2,esk24_0,esk26_0)
| ~ perp(X1,X2,esk22_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
perp(esk24_0,esk26_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_28,c_0_39]) ).
fof(c_0_44,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_45,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
fof(c_0_47,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_48,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_49,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,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_47]) ).
cnf(c_0_52,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_53,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_54,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_55,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_32]) ).
cnf(c_0_56,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_57,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_58,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_46])]),c_0_56])]) ).
fof(c_0_60,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_61,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_63,plain,
! [X275,X276,X277,X278,X279,X280] :
( ~ cyclic(X275,X276,X277,X278)
| ~ cyclic(X275,X276,X277,X279)
| ~ cyclic(X275,X276,X277,X280)
| ~ eqangle(X277,X275,X277,X276,X280,X278,X280,X279)
| cong(X275,X276,X278,X279) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_64,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_65,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,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_63]) ).
cnf(c_0_68,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_69,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
fof(c_0_70,plain,
! [X420,X421,X422,X423,X424,X425,X426,X427] :
( ~ eqangle(X420,X421,X422,X423,X424,X425,X426,X427)
| ~ perp(X424,X425,X426,X427)
| perp(X420,X421,X422,X423) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])]) ).
fof(c_0_71,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])]) ).
cnf(c_0_72,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_67,c_0_32]) ).
cnf(c_0_73,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_69])]) ).
cnf(c_0_74,plain,
( perp(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ perp(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_75,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
fof(c_0_76,plain,
! [X333,X334,X335,X336] :
( ~ cong(X333,X335,X334,X335)
| ~ cong(X333,X336,X334,X336)
| perp(X333,X334,X335,X336) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_77,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_72,c_0_59])]),c_0_73]),c_0_73])]) ).
cnf(c_0_78,plain,
( perp(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ perp(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_79,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_80,negated_conjecture,
cong(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_77,c_0_46]) ).
cnf(c_0_81,plain,
( perp(X1,X2,X1,X3)
| ~ perp(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_73])]) ).
cnf(c_0_82,negated_conjecture,
perp(X1,X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_80])]) ).
fof(c_0_83,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_84,negated_conjecture,
perp(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
fof(c_0_85,plain,
! [X389,X390,X391] :
( ~ cong(X389,X390,X389,X391)
| ~ coll(X389,X390,X391)
| midp(X389,X390,X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_86,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
fof(c_0_87,plain,
! [X317,X318,X319,X320] :
( ~ perp(X317,X318,X318,X319)
| ~ midp(X320,X317,X319)
| cong(X317,X320,X318,X320) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).
cnf(c_0_88,negated_conjecture,
perp(X1,X2,X3,X1),
inference(spm,[status(thm)],[c_0_34,c_0_84]) ).
cnf(c_0_89,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_90,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_56]),c_0_56])]) ).
cnf(c_0_91,plain,
( cong(X1,X4,X2,X4)
| ~ perp(X1,X2,X2,X3)
| ~ midp(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_92,negated_conjecture,
perp(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_28,c_0_88]) ).
cnf(c_0_93,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]) ).
cnf(c_0_94,plain,
( cong(X1,X2,X3,X2)
| ~ midp(X2,X1,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).
cnf(c_0_95,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_93,c_0_80]) ).
cnf(c_0_96,negated_conjecture,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_97,negated_conjecture,
~ perp(esk23_0,esk31_0,esk25_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_98,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_96]),c_0_96])]) ).
cnf(c_0_99,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO556+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n006.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 10:09:42 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
% 10.95/2.73 # ENIGMATIC: Solved by autoschedule:
% 10.95/2.73 # No SInE strategy applied
% 10.95/2.73 # Trying AutoSched0 for 150 seconds
% 10.95/2.73 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.95/2.73 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.95/2.73 #
% 10.95/2.73 # Preprocessing time : 0.020 s
% 10.95/2.73 # Presaturation interreduction done
% 10.95/2.73
% 10.95/2.73 # Proof found!
% 10.95/2.73 # SZS status Theorem
% 10.95/2.73 # SZS output start CNFRefutation
% See solution above
% 10.95/2.73 # Training examples: 0 positive, 0 negative
% 10.95/2.73
% 10.95/2.73 # -------------------------------------------------
% 10.95/2.73 # User time : 0.276 s
% 10.95/2.73 # System time : 0.015 s
% 10.95/2.73 # Total time : 0.290 s
% 10.95/2.73 # Maximum resident set size: 7124 pages
% 10.95/2.73
%------------------------------------------------------------------------------