TSTP Solution File: GEO554+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO554+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n016.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 10.16s 2.75s
% Output : CNFRefutation 10.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 69 ( 17 unt; 0 def)
% Number of atoms : 158 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 135 ( 46 ~; 43 |; 31 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 16 ( 16 usr; 16 con; 0-0 aty)
% Number of variables : 243 ( 7 sgn 150 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL012014,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( ( perp(X3,X1,X3,X2)
& circle(X1,X3,X19,X20)
& circle(X2,X3,X21,X22)
& circle(X1,X3,X4,X23)
& coll(X3,X4,X5)
& circle(X2,X3,X5,X24)
& coll(X2,X5,X6)
& circle(X2,X3,X6,X25)
& circle(X1,X3,X13,X26)
& circle(X2,X3,X13,X27) )
=> coll(X4,X6,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012014) ).
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(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(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(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(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(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(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(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(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(c_0_14,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( ( perp(X3,X1,X3,X2)
& circle(X1,X3,X19,X20)
& circle(X2,X3,X21,X22)
& circle(X1,X3,X4,X23)
& coll(X3,X4,X5)
& circle(X2,X3,X5,X24)
& coll(X2,X5,X6)
& circle(X2,X3,X6,X25)
& circle(X1,X3,X13,X26)
& circle(X2,X3,X13,X27) )
=> coll(X4,X6,X13) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012014]) ).
fof(c_0_15,plain,
! [X31,X32,X33] :
( ~ coll(X31,X32,X33)
| coll(X32,X31,X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
fof(c_0_16,negated_conjecture,
( perp(esk23_0,esk21_0,esk23_0,esk22_0)
& circle(esk21_0,esk23_0,esk28_0,esk29_0)
& circle(esk22_0,esk23_0,esk30_0,esk31_0)
& circle(esk21_0,esk23_0,esk24_0,esk32_0)
& coll(esk23_0,esk24_0,esk25_0)
& circle(esk22_0,esk23_0,esk25_0,esk33_0)
& coll(esk22_0,esk25_0,esk26_0)
& circle(esk22_0,esk23_0,esk26_0,esk34_0)
& circle(esk21_0,esk23_0,esk27_0,esk35_0)
& circle(esk22_0,esk23_0,esk27_0,esk36_0)
& ~ coll(esk24_0,esk26_0,esk27_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_17,plain,
! [X28,X29,X30] :
( ~ coll(X28,X29,X30)
| coll(X28,X30,X29) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_18,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
coll(esk23_0,esk24_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
coll(esk24_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_22,plain,
! [X56,X57,X58,X59] :
( ~ perp(X56,X57,X58,X59)
| perp(X58,X59,X56,X57) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_23,plain,
! [X34,X35,X36,X37] :
( ~ coll(X34,X35,X36)
| ~ coll(X34,X35,X37)
| coll(X36,X37,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_24,negated_conjecture,
coll(esk24_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_25,plain,
! [X277,X278,X279,X280] :
( ~ eqangle(X279,X277,X279,X278,X280,X277,X280,X278)
| ~ coll(X279,X280,X278)
| cyclic(X277,X278,X279,X280) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_26,plain,
! [X263,X264,X265,X266,X267,X268] :
( ~ para(X263,X264,X265,X266)
| eqangle(X263,X264,X267,X268,X265,X266,X267,X268) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_27,plain,
! [X60,X61,X62,X63,X64,X65] :
( ~ perp(X60,X61,X62,X63)
| ~ perp(X62,X63,X64,X65)
| para(X60,X61,X64,X65) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_28,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
perp(esk23_0,esk21_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,negated_conjecture,
coll(esk25_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
cnf(c_0_32,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_25]) ).
cnf(c_0_33,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,negated_conjecture,
perp(esk23_0,esk22_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( coll(X1,esk23_0,esk25_0)
| ~ coll(esk25_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_37,plain,
! [X88,X89,X90,X91] :
( ~ cyclic(X88,X89,X90,X91)
| cyclic(X88,X90,X89,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_38,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( para(X1,X2,esk23_0,esk21_0)
| ~ perp(X1,X2,esk23_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
coll(esk23_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_36,c_0_31]) ).
fof(c_0_41,plain,
! [X109,X110,X111,X112,X113,X114,X115,X116] :
( ~ eqangle(X109,X110,X111,X112,X113,X114,X115,X116)
| eqangle(X111,X112,X109,X110,X115,X116,X113,X114) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_42,plain,
! [X257,X258,X259,X260,X261,X262] :
( ~ eqangle(X257,X258,X261,X262,X259,X260,X261,X262)
| para(X257,X258,X259,X260) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
fof(c_0_43,plain,
! [X269,X270,X271,X272] :
( ~ cyclic(X269,X270,X271,X272)
| eqangle(X271,X269,X271,X270,X272,X269,X272,X270) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_44,plain,
! [X92,X93,X94,X95] :
( ~ cyclic(X92,X93,X94,X95)
| cyclic(X93,X92,X94,X95) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_45,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,negated_conjecture,
( cyclic(esk21_0,X1,esk23_0,esk23_0)
| ~ coll(esk23_0,esk23_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_29])]) ).
cnf(c_0_47,negated_conjecture,
coll(esk23_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_20,c_0_40]) ).
cnf(c_0_48,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_41]) ).
cnf(c_0_49,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,negated_conjecture,
( cyclic(esk21_0,esk23_0,X1,esk23_0)
| ~ coll(esk23_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,negated_conjecture,
( coll(X1,esk23_0,esk23_0)
| ~ coll(esk23_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_47]) ).
cnf(c_0_54,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_48,c_0_33]) ).
cnf(c_0_55,plain,
( para(X1,X2,X1,X2)
| ~ cyclic(X2,X3,X1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
( cyclic(esk23_0,esk21_0,X1,esk23_0)
| ~ coll(esk23_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,negated_conjecture,
coll(esk23_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_53,c_0_47]) ).
fof(c_0_58,plain,
! [X392,X393,X394] :
( ~ para(X392,X393,X392,X394)
| coll(X392,X393,X394) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_59,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_49,c_0_54]) ).
cnf(c_0_60,negated_conjecture,
para(esk23_0,esk23_0,esk23_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
cnf(c_0_61,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_62,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_63,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_64,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_18,c_0_63]) ).
cnf(c_0_65,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_64]) ).
cnf(c_0_66,negated_conjecture,
~ coll(esk24_0,esk26_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_67,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_65]),c_0_65])]) ).
cnf(c_0_68,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO554+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n016.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 02:35:53 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
% 10.16/2.75 # ENIGMATIC: Solved by autoschedule:
% 10.16/2.75 # No SInE strategy applied
% 10.16/2.75 # Trying AutoSched0 for 150 seconds
% 10.16/2.75 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.16/2.75 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.16/2.75 #
% 10.16/2.75 # Preprocessing time : 0.035 s
% 10.16/2.75 # Presaturation interreduction done
% 10.16/2.75
% 10.16/2.75 # Proof found!
% 10.16/2.75 # SZS status Theorem
% 10.16/2.75 # SZS output start CNFRefutation
% See solution above
% 10.16/2.75 # Training examples: 0 positive, 0 negative
% 10.16/2.75
% 10.16/2.75 # -------------------------------------------------
% 10.16/2.75 # User time : 0.277 s
% 10.16/2.75 # System time : 0.018 s
% 10.16/2.75 # Total time : 0.296 s
% 10.16/2.75 # Maximum resident set size: 7120 pages
% 10.16/2.75
%------------------------------------------------------------------------------