%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO624+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 03:46:38 EDT 2022
% Result : Theorem 9.62s 2.67s
% Output : CNFRefutation 9.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 63 ( 14 unt; 0 def)
% Number of atoms : 158 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 139 ( 44 ~; 41 |; 38 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 254 ( 18 sgn 148 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(exemplo6GDDFULL8110988,conjecture,
! [X8,X16,X19,X1,X18,X2,X9,X10,X20,X21] :
( ( perp(X1,X19,X8,X16)
& coll(X1,X8,X16)
& perp(X2,X19,X8,X18)
& coll(X2,X8,X18)
& coll(X19,X1,X9)
& cong(X19,X1,X19,X9)
& coll(X19,X2,X10)
& cong(X19,X2,X19,X10)
& coll(X20,X19,X1)
& coll(X20,X8,X18)
& coll(X21,X8,X16)
& coll(X21,X19,X2) )
=> cyclic(X8,X9,X10,X21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110988) ).
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(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(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(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(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(c_0_15,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_16,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_17,negated_conjecture,
~ ! [X8,X16,X19,X1,X18,X2,X9,X10,X20,X21] :
( ( perp(X1,X19,X8,X16)
& coll(X1,X8,X16)
& perp(X2,X19,X8,X18)
& coll(X2,X8,X18)
& coll(X19,X1,X9)
& cong(X19,X1,X19,X9)
& coll(X19,X2,X10)
& cong(X19,X2,X19,X10)
& coll(X20,X19,X1)
& coll(X20,X8,X18)
& coll(X21,X8,X16)
& coll(X21,X19,X2) )
=> cyclic(X8,X9,X10,X21) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110988]) ).
fof(c_0_18,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_19,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_15]) ).
cnf(c_0_20,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_21,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])]) ).
fof(c_0_22,negated_conjecture,
( perp(esk24_0,esk23_0,esk21_0,esk22_0)
& coll(esk24_0,esk21_0,esk22_0)
& perp(esk26_0,esk23_0,esk21_0,esk25_0)
& coll(esk26_0,esk21_0,esk25_0)
& coll(esk23_0,esk24_0,esk27_0)
& cong(esk23_0,esk24_0,esk23_0,esk27_0)
& coll(esk23_0,esk26_0,esk28_0)
& cong(esk23_0,esk26_0,esk23_0,esk28_0)
& coll(esk29_0,esk23_0,esk24_0)
& coll(esk29_0,esk21_0,esk25_0)
& coll(esk30_0,esk21_0,esk22_0)
& coll(esk30_0,esk23_0,esk26_0)
& ~ cyclic(esk21_0,esk27_0,esk28_0,esk30_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
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])]) ).
cnf(c_0_24,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,negated_conjecture,
perp(esk24_0,esk23_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_29,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_30,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( para(X1,X2,esk21_0,esk22_0)
| ~ perp(X1,X2,esk24_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
perp(esk21_0,esk22_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_28,c_0_27]) ).
fof(c_0_33,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_34,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
fof(c_0_36,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_37,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_39,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_40,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_41,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,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_39]) ).
cnf(c_0_44,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_46,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_47,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_20]) ).
cnf(c_0_48,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_45])]) ).
fof(c_0_49,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_50,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_35])]),c_0_48])]) ).
fof(c_0_52,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_53,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_55,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_56,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_57,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_59,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,negated_conjecture,
~ cyclic(esk21_0,esk27_0,esk28_0,esk30_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_61,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_59])]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO624+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 17 22:46:49 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.62/2.67 # ENIGMATIC: Solved by autoschedule:
% 9.62/2.67 # No SInE strategy applied
% 9.62/2.67 # Trying AutoSched0 for 150 seconds
% 9.62/2.67 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.62/2.67 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.62/2.67 #
% 9.62/2.67 # Preprocessing time : 0.032 s
% 9.62/2.67 # Presaturation interreduction done
% 9.62/2.67
% 9.62/2.67 # Proof found!
% 9.62/2.67 # SZS status Theorem
% 9.62/2.67 # SZS output start CNFRefutation
% See solution above
% 9.62/2.67 # Training examples: 0 positive, 0 negative
% 9.62/2.67
% 9.62/2.67 # -------------------------------------------------
% 9.62/2.67 # User time : 0.237 s
% 9.62/2.67 # System time : 0.016 s
% 9.62/2.67 # Total time : 0.254 s
% 9.62/2.67 # Maximum resident set size: 7116 pages
% 9.62/2.67
%------------------------------------------------------------------------------