TSTP Solution File: GEO639+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO639+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 03:46:43 EDT 2022
% Result : Theorem 8.93s 2.66s
% Output : CNFRefutation 8.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 28
% Syntax : Number of formulae : 156 ( 55 unt; 0 def)
% Number of atoms : 336 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 280 ( 100 ~; 100 |; 51 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 16 con; 0-4 aty)
% Number of variables : 562 ( 41 sgn 304 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL81109105,conjecture,
! [X9,X10,X1,X17,X4,X8,X2,X3,X5,X19,X20,X21,X22,X23,X24,X25] :
( ( ( cong(X1,X9,X9,X10)
| cong(X1,X9,X1,X10) )
& perp(X9,X1,X9,X17)
& perp(X10,X1,X10,X17)
& circle(X17,X9,X19,X20)
& coll(X4,X1,X17)
& circle(X17,X9,X4,X21)
& midp(X8,X4,X1)
& circle(X8,X4,X22,X23)
& coll(X2,X9,X1)
& circle(X8,X4,X2,X24)
& coll(X3,X10,X1)
& circle(X8,X4,X3,X25)
& coll(X5,X9,X10)
& coll(X5,X1,X17) )
=> eqangle(X1,X2,X2,X5,X5,X2,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL81109105) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
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(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(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
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(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X1,X2,X3,X4)
& cong(X3,X4,X5,X6) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
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(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
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(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(ruleD75,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
& cong(X9,X10,X11,X12) )
=> cong(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(ruleD70,axiom,
! [X1,X2,X3,X4,X7,X17] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(ruleD22,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
=> eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(c_0_28,negated_conjecture,
~ ! [X9,X10,X1,X17,X4,X8,X2,X3,X5,X19,X20,X21,X22,X23,X24,X25] :
( ( ( cong(X1,X9,X9,X10)
| cong(X1,X9,X1,X10) )
& perp(X9,X1,X9,X17)
& perp(X10,X1,X10,X17)
& circle(X17,X9,X19,X20)
& coll(X4,X1,X17)
& circle(X17,X9,X4,X21)
& midp(X8,X4,X1)
& circle(X8,X4,X22,X23)
& coll(X2,X9,X1)
& circle(X8,X4,X2,X24)
& coll(X3,X10,X1)
& circle(X8,X4,X3,X25)
& coll(X5,X9,X10)
& coll(X5,X1,X17) )
=> eqangle(X1,X2,X2,X5,X5,X2,X2,X3) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL81109105]) ).
fof(c_0_29,plain,
! [X399,X400,X401] :
( ~ midp(X399,X400,X401)
| coll(X399,X400,X401) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_30,negated_conjecture,
( ( cong(esk23_0,esk21_0,esk21_0,esk22_0)
| cong(esk23_0,esk21_0,esk23_0,esk22_0) )
& perp(esk21_0,esk23_0,esk21_0,esk24_0)
& perp(esk22_0,esk23_0,esk22_0,esk24_0)
& circle(esk24_0,esk21_0,esk30_0,esk31_0)
& coll(esk25_0,esk23_0,esk24_0)
& circle(esk24_0,esk21_0,esk25_0,esk32_0)
& midp(esk26_0,esk25_0,esk23_0)
& circle(esk26_0,esk25_0,esk33_0,esk34_0)
& coll(esk27_0,esk21_0,esk23_0)
& circle(esk26_0,esk25_0,esk27_0,esk35_0)
& coll(esk28_0,esk22_0,esk23_0)
& circle(esk26_0,esk25_0,esk28_0,esk36_0)
& coll(esk29_0,esk21_0,esk22_0)
& coll(esk29_0,esk23_0,esk24_0)
& ~ eqangle(esk23_0,esk27_0,esk27_0,esk29_0,esk29_0,esk27_0,esk27_0,esk28_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_31,plain,
! [X58,X59,X60,X61,X62,X63] :
( ~ perp(X58,X59,X60,X61)
| ~ perp(X60,X61,X62,X63)
| para(X58,X59,X62,X63) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_32,plain,
! [X500,X501,X502,X503] :
( ~ circle(X503,X500,X501,X502)
| perp(esk12_4(X500,X501,X502,X503),X500,X500,X503) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_33,plain,
! [X54,X55,X56,X57] :
( ~ perp(X54,X55,X56,X57)
| perp(X56,X57,X54,X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_34,plain,
! [X29,X30,X31] :
( ~ coll(X29,X30,X31)
| coll(X30,X29,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_35,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
midp(esk26_0,esk25_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_40,plain,
! [X70,X71,X72] :
( ~ midp(X72,X71,X70)
| midp(X72,X70,X71) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_41,plain,
! [X26,X27,X28] :
( ~ coll(X26,X27,X28)
| coll(X26,X28,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_42,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,negated_conjecture,
coll(esk26_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,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_37,c_0_38]) ).
cnf(c_0_45,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_39,c_0_38]) ).
fof(c_0_46,plain,
! [X396,X397,X398] :
( ~ midp(X396,X397,X398)
| cong(X396,X397,X396,X398) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_47,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_48,plain,
! [X32,X33,X34,X35] :
( ~ coll(X32,X33,X34)
| ~ coll(X32,X33,X35)
| coll(X34,X35,X32) ),
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_41]) ).
cnf(c_0_50,negated_conjecture,
coll(esk25_0,esk26_0,esk23_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_51,plain,
! [X36,X37,X38,X39] :
( ~ para(X36,X37,X38,X39)
| para(X36,X37,X39,X38) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_52,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_53,negated_conjecture,
circle(esk26_0,esk25_0,esk33_0,esk34_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_54,plain,
! [X143,X144,X145,X146] :
( ~ cong(X143,X144,X145,X146)
| cong(X143,X144,X146,X145) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_55,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_56,negated_conjecture,
midp(esk26_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_47,c_0_36]) ).
cnf(c_0_57,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,negated_conjecture,
coll(esk25_0,esk23_0,esk26_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_59,plain,
! [X40,X41,X42,X43] :
( ~ para(X40,X41,X42,X43)
| para(X42,X43,X40,X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_60,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_61,negated_conjecture,
para(esk25_0,esk26_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_62,plain,
! [X151,X152,X153,X154,X155,X156] :
( ~ cong(X151,X152,X153,X154)
| ~ cong(X153,X154,X155,X156)
| cong(X151,X152,X155,X156) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_63,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_64,negated_conjecture,
cong(esk26_0,esk23_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_65,plain,
! [X147,X148,X149,X150] :
( ~ cong(X147,X148,X149,X150)
| cong(X149,X150,X147,X148) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_66,negated_conjecture,
( coll(X1,esk26_0,esk25_0)
| ~ coll(esk25_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_68,negated_conjecture,
para(esk25_0,esk26_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_70,negated_conjecture,
cong(esk26_0,esk23_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_72,negated_conjecture,
coll(esk26_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_66,c_0_58]) ).
fof(c_0_73,plain,
! [X107,X108,X109,X110,X111,X112,X113,X114] :
( ~ eqangle(X107,X108,X109,X110,X111,X112,X113,X114)
| eqangle(X109,X110,X107,X108,X113,X114,X111,X112) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_74,plain,
! [X261,X262,X263,X264,X265,X266] :
( ~ para(X261,X262,X263,X264)
| eqangle(X261,X262,X265,X266,X263,X264,X265,X266) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_75,negated_conjecture,
coll(esk26_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_49,c_0_43]) ).
fof(c_0_76,plain,
! [X380,X381,X382,X383,X384] :
( ~ midp(X384,X380,X381)
| ~ para(X380,X382,X381,X383)
| ~ para(X380,X383,X381,X382)
| midp(X384,X382,X383) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_77,negated_conjecture,
para(esk26_0,esk25_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
fof(c_0_78,plain,
! [X393,X394,X395] :
( ~ cong(X393,X394,X393,X395)
| ~ coll(X393,X394,X395)
| midp(X393,X394,X395) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_79,negated_conjecture,
( cong(X1,X2,esk25_0,esk26_0)
| ~ cong(X1,X2,esk26_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_80,negated_conjecture,
cong(esk25_0,esk26_0,esk26_0,esk23_0),
inference(spm,[status(thm)],[c_0_71,c_0_70]) ).
cnf(c_0_81,negated_conjecture,
coll(esk26_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_49,c_0_72]) ).
fof(c_0_82,plain,
! [X255,X256,X257,X258,X259,X260] :
( ~ eqangle(X255,X256,X259,X260,X257,X258,X259,X260)
| para(X255,X256,X257,X258) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_83,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_73]) ).
cnf(c_0_84,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_85,negated_conjecture,
( coll(X1,esk25_0,esk26_0)
| ~ coll(esk26_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_75]) ).
cnf(c_0_86,plain,
( midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| ~ para(X2,X4,X3,X5)
| ~ para(X2,X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_87,negated_conjecture,
para(esk26_0,esk25_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_60,c_0_77]) ).
cnf(c_0_88,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_89,negated_conjecture,
cong(esk25_0,esk26_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_90,negated_conjecture,
coll(esk25_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_42,c_0_81]) ).
cnf(c_0_91,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_92,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_93,negated_conjecture,
cong(esk26_0,esk25_0,esk26_0,esk23_0),
inference(spm,[status(thm)],[c_0_55,c_0_36]) ).
cnf(c_0_94,negated_conjecture,
coll(esk25_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_85,c_0_75]) ).
fof(c_0_95,plain,
! [X432,X433,X434,X435,X436,X437,X438,X439] :
( ~ eqratio(X432,X433,X434,X435,X436,X437,X438,X439)
| ~ cong(X436,X437,X438,X439)
| cong(X432,X433,X434,X435) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_96,plain,
! [X402,X403,X404,X405,X406,X407] :
( ~ midp(X406,X402,X403)
| ~ midp(X407,X404,X405)
| eqratio(X406,X402,X402,X403,X407,X404,X404,X405) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_97,negated_conjecture,
( midp(X1,esk25_0,esk25_0)
| ~ midp(X1,esk26_0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_87])]) ).
cnf(c_0_98,negated_conjecture,
midp(esk25_0,esk26_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).
cnf(c_0_99,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_100,negated_conjecture,
cong(esk26_0,esk25_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_79,c_0_93]) ).
cnf(c_0_101,negated_conjecture,
coll(esk25_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_49,c_0_94]) ).
cnf(c_0_102,plain,
( cong(X1,X2,X3,X4)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ cong(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_103,plain,
( eqratio(X1,X2,X2,X3,X4,X5,X5,X6)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_104,negated_conjecture,
midp(esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_105,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_99,c_0_87]) ).
cnf(c_0_106,negated_conjecture,
cong(esk26_0,esk25_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_63,c_0_100]) ).
cnf(c_0_107,negated_conjecture,
coll(esk26_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_42,c_0_101]) ).
cnf(c_0_108,plain,
( cong(X1,X2,X2,X3)
| ~ cong(X4,X5,X5,X6)
| ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_109,negated_conjecture,
cong(esk25_0,esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_55,c_0_104]) ).
cnf(c_0_110,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_105]),c_0_105])]) ).
cnf(c_0_111,negated_conjecture,
midp(esk26_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_106]),c_0_107])]) ).
fof(c_0_112,plain,
! [X390,X391,X392] :
( ~ para(X390,X391,X390,X392)
| coll(X390,X391,X392) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_113,negated_conjecture,
( cong(X1,X2,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_104])]) ).
cnf(c_0_114,negated_conjecture,
midp(esk26_0,X1,X1),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_115,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
fof(c_0_116,plain,
! [X416,X417,X418,X419,X420,X421,X422,X423] :
( ~ eqangle(X416,X417,X418,X419,X420,X421,X422,X423)
| ~ para(X420,X421,X422,X423)
| para(X416,X417,X418,X419) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_117,plain,
! [X295,X296,X297] :
( ~ cong(X297,X295,X297,X296)
| eqangle(X297,X295,X295,X296,X295,X296,X297,X296) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_118,negated_conjecture,
cong(esk26_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_119,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_115,c_0_105]) ).
cnf(c_0_120,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_116]) ).
cnf(c_0_121,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_122,negated_conjecture,
cong(X1,X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_71,c_0_118]) ).
cnf(c_0_123,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_42,c_0_119]) ).
cnf(c_0_124,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,negated_conjecture,
cong(X1,X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_63,c_0_122]) ).
cnf(c_0_126,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_49,c_0_123]) ).
cnf(c_0_127,negated_conjecture,
para(X1,X1,X1,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_105])]) ).
cnf(c_0_128,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_126]),c_0_126])]) ).
cnf(c_0_129,negated_conjecture,
para(X1,X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_60,c_0_127]) ).
cnf(c_0_130,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_128])]) ).
cnf(c_0_131,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X2,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_129]),c_0_129])]) ).
cnf(c_0_132,negated_conjecture,
midp(X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_130,c_0_125]) ).
cnf(c_0_133,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_134,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_110,c_0_133]) ).
cnf(c_0_135,negated_conjecture,
cong(X1,X2,X2,X2),
inference(spm,[status(thm)],[c_0_113,c_0_134]) ).
cnf(c_0_136,negated_conjecture,
cong(X1,X1,X2,X1),
inference(spm,[status(thm)],[c_0_71,c_0_135]) ).
cnf(c_0_137,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_121]) ).
cnf(c_0_138,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_63,c_0_136]) ).
cnf(c_0_139,plain,
para(X1,X1,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_138])]) ).
fof(c_0_140,plain,
! [X375,X376,X377,X378,X379] :
( ~ midp(X379,X375,X376)
| ~ midp(X379,X377,X378)
| para(X375,X377,X376,X378) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
cnf(c_0_141,plain,
para(X1,X2,X1,X1),
inference(spm,[status(thm)],[c_0_67,c_0_139]) ).
cnf(c_0_142,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_143,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_141]),c_0_134]),c_0_139])]) ).
fof(c_0_144,plain,
! [X123,X124,X125,X126,X127,X128,X129,X130] :
( ~ eqangle(X123,X124,X125,X126,X127,X128,X129,X130)
| eqangle(X123,X124,X127,X128,X125,X126,X129,X130) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_145,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_143]),c_0_143])]) ).
cnf(c_0_146,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
fof(c_0_147,plain,
! [X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142] :
( ~ eqangle(X131,X132,X133,X134,X135,X136,X137,X138)
| ~ eqangle(X135,X136,X137,X138,X139,X140,X141,X142)
| eqangle(X131,X132,X133,X134,X139,X140,X141,X142) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_148,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_145])]) ).
cnf(c_0_149,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_146,c_0_84]) ).
cnf(c_0_150,plain,
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_151,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_146,c_0_148]) ).
cnf(c_0_152,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_145])]) ).
cnf(c_0_153,negated_conjecture,
~ eqangle(esk23_0,esk27_0,esk27_0,esk29_0,esk29_0,esk27_0,esk27_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_154,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152])]) ).
cnf(c_0_155,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_154])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO639+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n022.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 09:49:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 # 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
% 8.93/2.66 # ENIGMATIC: Solved by autoschedule:
% 8.93/2.66 # No SInE strategy applied
% 8.93/2.66 # Trying AutoSched0 for 150 seconds
% 8.93/2.66 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.93/2.66 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.93/2.66 #
% 8.93/2.66 # Preprocessing time : 0.032 s
% 8.93/2.66 # Presaturation interreduction done
% 8.93/2.66
% 8.93/2.66 # Proof found!
% 8.93/2.66 # SZS status Theorem
% 8.93/2.66 # SZS output start CNFRefutation
% See solution above
% 8.93/2.66 # Training examples: 0 positive, 0 negative
% 8.93/2.66
% 8.93/2.66 # -------------------------------------------------
% 8.93/2.66 # User time : 0.265 s
% 8.93/2.66 # System time : 0.014 s
% 8.93/2.66 # Total time : 0.279 s
% 8.93/2.66 # Maximum resident set size: 7120 pages
% 8.93/2.66
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