%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO600+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 03:46:30 EDT 2022
% Result : Theorem 10.24s 2.75s
% Output : CNFRefutation 10.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 56 ( 12 unt; 0 def)
% Number of atoms : 146 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 127 ( 37 ~; 34 |; 42 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 24 ( 24 usr; 23 con; 0-4 aty)
% Number of variables : 247 ( 8 sgn 156 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
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(exemplo6GDDFULL618062,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
( ( circle(X4,X1,X2,X3)
& circle(X4,X1,X5,X22)
& midp(X6,X3,X5)
& midp(X13,X1,X5)
& circle(X6,X5,X23,X24)
& circle(X13,X5,X25,X26)
& circle(X6,X5,X14,X27)
& circle(X13,X5,X14,X28)
& coll(X19,X1,X2)
& circle(X13,X5,X19,X29)
& midp(X20,X2,X5)
& circle(X20,X2,X30,X31)
& circle(X6,X5,X21,X32)
& circle(X20,X2,X21,X33) )
=> coll(X19,X14,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618062) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
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(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(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(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(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(c_0_13,plain,
! [X66,X67,X68,X69,X70,X71] :
( ~ perp(X66,X67,X68,X69)
| ~ perp(X68,X69,X70,X71)
| para(X66,X67,X70,X71) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_14,plain,
! [X508,X509,X510,X511] :
( ~ circle(X511,X508,X509,X510)
| perp(esk12_4(X508,X509,X510,X511),X508,X508,X511) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_15,plain,
! [X62,X63,X64,X65] :
( ~ perp(X62,X63,X64,X65)
| perp(X64,X65,X62,X63) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_16,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_19,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
( ( circle(X4,X1,X2,X3)
& circle(X4,X1,X5,X22)
& midp(X6,X3,X5)
& midp(X13,X1,X5)
& circle(X6,X5,X23,X24)
& circle(X13,X5,X25,X26)
& circle(X6,X5,X14,X27)
& circle(X13,X5,X14,X28)
& coll(X19,X1,X2)
& circle(X13,X5,X19,X29)
& midp(X20,X2,X5)
& circle(X20,X2,X30,X31)
& circle(X6,X5,X21,X32)
& circle(X20,X2,X21,X33) )
=> coll(X19,X14,X21) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618062]) ).
cnf(c_0_20,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
fof(c_0_22,negated_conjecture,
( circle(esk24_0,esk21_0,esk22_0,esk23_0)
& circle(esk24_0,esk21_0,esk25_0,esk32_0)
& midp(esk26_0,esk23_0,esk25_0)
& midp(esk27_0,esk21_0,esk25_0)
& circle(esk26_0,esk25_0,esk33_0,esk34_0)
& circle(esk27_0,esk25_0,esk35_0,esk36_0)
& circle(esk26_0,esk25_0,esk28_0,esk37_0)
& circle(esk27_0,esk25_0,esk28_0,esk38_0)
& coll(esk29_0,esk21_0,esk22_0)
& circle(esk27_0,esk25_0,esk29_0,esk39_0)
& midp(esk30_0,esk22_0,esk25_0)
& circle(esk30_0,esk22_0,esk40_0,esk41_0)
& circle(esk26_0,esk25_0,esk31_0,esk42_0)
& circle(esk30_0,esk22_0,esk31_0,esk43_0)
& ~ coll(esk29_0,esk28_0,esk31_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_23,plain,
! [X44,X45,X46,X47] :
( ~ para(X44,X45,X46,X47)
| para(X44,X45,X47,X46) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_24,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
circle(esk30_0,esk22_0,esk40_0,esk41_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_26,plain,
! [X115,X116,X117,X118,X119,X120,X121,X122] :
( ~ eqangle(X115,X116,X117,X118,X119,X120,X121,X122)
| eqangle(X117,X118,X115,X116,X121,X122,X119,X120) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_27,plain,
! [X269,X270,X271,X272,X273,X274] :
( ~ para(X269,X270,X271,X272)
| eqangle(X269,X270,X273,X274,X271,X272,X273,X274) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_28,plain,
! [X48,X49,X50,X51] :
( ~ para(X48,X49,X50,X51)
| para(X50,X51,X48,X49) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_29,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,negated_conjecture,
para(esk22_0,esk30_0,esk22_0,esk30_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_31,plain,
! [X263,X264,X265,X266,X267,X268] :
( ~ eqangle(X263,X264,X267,X268,X265,X266,X267,X268)
| para(X263,X264,X265,X266) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_32,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_26]) ).
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_27]) ).
cnf(c_0_34,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
para(esk22_0,esk30_0,esk30_0,esk22_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
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_31]) ).
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_32,c_0_33]) ).
cnf(c_0_38,negated_conjecture,
para(esk30_0,esk22_0,esk22_0,esk30_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_39,plain,
! [X398,X399,X400] :
( ~ para(X398,X399,X398,X400)
| coll(X398,X399,X400) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_40,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
para(esk30_0,esk22_0,esk30_0,esk22_0),
inference(spm,[status(thm)],[c_0_29,c_0_38]) ).
fof(c_0_42,plain,
! [X37,X38,X39] :
( ~ coll(X37,X38,X39)
| coll(X38,X37,X39) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_43,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_45,plain,
! [X34,X35,X36] :
( ~ coll(X34,X35,X36)
| coll(X34,X36,X35) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_46,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_48,plain,
! [X40,X41,X42,X43] :
( ~ coll(X40,X41,X42)
| ~ coll(X40,X41,X43)
| coll(X42,X43,X40) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_49,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_52,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
~ coll(esk29_0,esk28_0,esk31_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_54,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_52])]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO600+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 19:24:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.45 # ENIGMATIC: Selected SinE mode:
% 0.21/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.24/2.75 # ENIGMATIC: Solved by autoschedule:
% 10.24/2.75 # No SInE strategy applied
% 10.24/2.75 # Trying AutoSched0 for 150 seconds
% 10.24/2.75 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.24/2.75 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.24/2.75 #
% 10.24/2.75 # Preprocessing time : 0.033 s
% 10.24/2.75 # Presaturation interreduction done
% 10.24/2.75
% 10.24/2.75 # Proof found!
% 10.24/2.75 # SZS status Theorem
% 10.24/2.75 # SZS output start CNFRefutation
% See solution above
% 10.24/2.75 # Training examples: 0 positive, 0 negative
% 10.24/2.75
% 10.24/2.75 # -------------------------------------------------
% 10.24/2.75 # User time : 0.280 s
% 10.24/2.75 # System time : 0.016 s
% 10.24/2.75 # Total time : 0.295 s
% 10.24/2.75 # Maximum resident set size: 7124 pages
% 10.24/2.75
%------------------------------------------------------------------------------