TSTP Solution File: GEO613+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO613+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 03:46:34 EDT 2022
% Result : Theorem 8.41s 2.49s
% Output : CNFRefutation 8.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 29
% Syntax : Number of formulae : 163 ( 55 unt; 0 def)
% Number of atoms : 362 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 323 ( 124 ~; 121 |; 48 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 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; 0-6 aty)
% Number of variables : 606 ( 47 sgn 324 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL618075y,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( circle(X1,X2,X19,X20)
& circle(X3,X2,X21,X22)
& circle(X1,X2,X4,X23)
& circle(X3,X2,X4,X24)
& midp(X5,X4,X2)
& circle(X1,X2,X6,X25)
& circle(X3,X2,X13,X26)
& coll(X13,X2,X6)
& coll(X14,X1,X6)
& coll(X14,X3,X13) )
=> eqangle(X6,X4,X4,X13,X1,X14,X14,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618075y) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
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(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
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(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(ruleD55,axiom,
! [X1,X2,X7,X8] :
( ( midp(X7,X1,X2)
& perp(X8,X7,X1,X2) )
=> cong(X8,X1,X8,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> ( midp(X9,X1,X4)
& para(X9,X7,X2,X4)
& para(X9,X17,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
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(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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
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(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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(ruleD20,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(c_0_29,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( circle(X1,X2,X19,X20)
& circle(X3,X2,X21,X22)
& circle(X1,X2,X4,X23)
& circle(X3,X2,X4,X24)
& midp(X5,X4,X2)
& circle(X1,X2,X6,X25)
& circle(X3,X2,X13,X26)
& coll(X13,X2,X6)
& coll(X14,X1,X6)
& coll(X14,X3,X13) )
=> eqangle(X6,X4,X4,X13,X1,X14,X14,X3) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618075y]) ).
fof(c_0_30,plain,
! [X400,X401,X402] :
( ~ midp(X400,X401,X402)
| coll(X400,X401,X402) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_31,negated_conjecture,
( circle(esk21_0,esk22_0,esk29_0,esk30_0)
& circle(esk23_0,esk22_0,esk31_0,esk32_0)
& circle(esk21_0,esk22_0,esk24_0,esk33_0)
& circle(esk23_0,esk22_0,esk24_0,esk34_0)
& midp(esk25_0,esk24_0,esk22_0)
& circle(esk21_0,esk22_0,esk26_0,esk35_0)
& circle(esk23_0,esk22_0,esk27_0,esk36_0)
& coll(esk27_0,esk22_0,esk26_0)
& coll(esk28_0,esk21_0,esk26_0)
& coll(esk28_0,esk23_0,esk27_0)
& ~ eqangle(esk26_0,esk24_0,esk24_0,esk27_0,esk21_0,esk28_0,esk28_0,esk23_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
fof(c_0_32,plain,
! [X71,X72,X73] :
( ~ midp(X73,X72,X71)
| midp(X73,X71,X72) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_33,plain,
! [X30,X31,X32] :
( ~ coll(X30,X31,X32)
| coll(X31,X30,X32) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_34,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,negated_conjecture,
midp(esk25_0,esk24_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_36,plain,
! [X397,X398,X399] :
( ~ midp(X397,X398,X399)
| cong(X397,X398,X397,X399) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_37,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_38,plain,
! [X27,X28,X29] :
( ~ coll(X27,X28,X29)
| coll(X27,X29,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_39,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,negated_conjecture,
coll(esk25_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_41,plain,
! [X144,X145,X146,X147] :
( ~ cong(X144,X145,X146,X147)
| cong(X144,X145,X147,X146) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_42,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,negated_conjecture,
midp(esk25_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_37,c_0_35]) ).
fof(c_0_44,plain,
! [X33,X34,X35,X36] :
( ~ coll(X33,X34,X35)
| ~ coll(X33,X34,X36)
| coll(X35,X36,X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_45,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,negated_conjecture,
coll(esk24_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_47,plain,
! [X148,X149,X150,X151] :
( ~ cong(X148,X149,X150,X151)
| cong(X150,X151,X148,X149) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_48,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,negated_conjecture,
cong(esk25_0,esk22_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,negated_conjecture,
coll(esk24_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,negated_conjecture,
cong(esk25_0,esk22_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
( coll(X1,esk25_0,esk24_0)
| ~ coll(esk24_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_55,plain,
! [X338,X339,X340,X341] :
( ~ cong(X338,X340,X339,X340)
| ~ cong(X338,X341,X339,X341)
| perp(X338,X339,X340,X341) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_56,negated_conjecture,
cong(esk24_0,esk25_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_57,plain,
! [X152,X153,X154,X155,X156,X157] :
( ~ cong(X152,X153,X154,X155)
| ~ cong(X154,X155,X156,X157)
| cong(X152,X153,X156,X157) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_58,negated_conjecture,
cong(esk25_0,esk24_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_42,c_0_35]) ).
cnf(c_0_59,negated_conjecture,
coll(esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_54,c_0_51]) ).
cnf(c_0_60,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_61,negated_conjecture,
cong(esk24_0,esk25_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_48,c_0_56]) ).
cnf(c_0_62,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_63,negated_conjecture,
cong(esk25_0,esk24_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_48,c_0_58]) ).
cnf(c_0_64,negated_conjecture,
( coll(X1,esk22_0,esk25_0)
| ~ coll(esk25_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_40]) ).
cnf(c_0_65,negated_conjecture,
coll(esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_45,c_0_59]) ).
fof(c_0_66,plain,
! [X334,X335,X336,X337] :
( ~ midp(X336,X334,X335)
| ~ perp(X337,X336,X334,X335)
| cong(X337,X334,X337,X335) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).
cnf(c_0_67,negated_conjecture,
( perp(esk24_0,esk22_0,X1,esk25_0)
| ~ cong(esk24_0,X1,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
fof(c_0_68,plain,
! [X394,X395,X396] :
( ~ cong(X394,X395,X394,X396)
| ~ coll(X394,X395,X396)
| midp(X394,X395,X396) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_69,negated_conjecture,
( cong(X1,X2,esk22_0,esk25_0)
| ~ cong(X1,X2,esk25_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,negated_conjecture,
cong(esk22_0,esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_52,c_0_63]) ).
cnf(c_0_71,negated_conjecture,
coll(esk25_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_72,plain,
! [X376,X377,X378,X379,X380] :
( ~ midp(X380,X376,X377)
| ~ midp(X380,X378,X379)
| para(X376,X378,X377,X379) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_73,plain,
! [X467,X468,X469,X470,X471,X472] :
( ( midp(esk6_6(X467,X468,X469,X470,X471,X472),X467,X470)
| ~ midp(X471,X467,X468)
| ~ midp(X472,X469,X470) )
& ( para(esk6_6(X467,X468,X469,X470,X471,X472),X471,X468,X470)
| ~ midp(X471,X467,X468)
| ~ midp(X472,X469,X470) )
& ( para(esk6_6(X467,X468,X469,X470,X471,X472),X472,X467,X469)
| ~ midp(X471,X467,X468)
| ~ midp(X472,X469,X470) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).
cnf(c_0_74,plain,
( cong(X4,X2,X4,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_75,negated_conjecture,
perp(esk24_0,esk22_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_67,c_0_61]) ).
cnf(c_0_76,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_77,negated_conjecture,
cong(esk22_0,esk25_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_78,negated_conjecture,
coll(esk22_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_39,c_0_71]) ).
cnf(c_0_79,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_80,plain,
( midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_81,negated_conjecture,
( cong(esk24_0,esk25_0,esk24_0,esk25_0)
| ~ midp(esk22_0,esk25_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_82,negated_conjecture,
midp(esk22_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]) ).
fof(c_0_83,plain,
! [X108,X109,X110,X111,X112,X113,X114,X115] :
( ~ eqangle(X108,X109,X110,X111,X112,X113,X114,X115)
| eqangle(X110,X111,X108,X109,X114,X115,X112,X113) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_84,plain,
! [X262,X263,X264,X265,X266,X267] :
( ~ para(X262,X263,X264,X265)
| eqangle(X262,X263,X266,X267,X264,X265,X266,X267) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_85,plain,
( para(X1,X2,X3,X4)
| ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
| ~ midp(X8,X6,X4)
| ~ midp(X7,X2,X5) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_86,plain,
( midp(esk6_6(X1,X2,X3,X4,X5,X6),X4,X1)
| ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_80]) ).
cnf(c_0_87,negated_conjecture,
cong(esk24_0,esk25_0,esk24_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82])]) ).
cnf(c_0_88,negated_conjecture,
coll(esk24_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_39,c_0_65]) ).
cnf(c_0_89,negated_conjecture,
coll(esk25_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_45,c_0_40]) ).
fof(c_0_90,plain,
! [X256,X257,X258,X259,X260,X261] :
( ~ eqangle(X256,X257,X260,X261,X258,X259,X260,X261)
| para(X256,X257,X258,X259) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_91,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_83]) ).
cnf(c_0_92,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_93,plain,
( para(X1,X2,X2,X1)
| ~ midp(X3,X4,X1)
| ~ midp(X5,X2,X6) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_94,negated_conjecture,
midp(esk24_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_87]),c_0_88])]) ).
cnf(c_0_95,negated_conjecture,
( coll(X1,esk24_0,esk25_0)
| ~ coll(esk25_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_89]) ).
cnf(c_0_96,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_97,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_98,negated_conjecture,
( para(esk25_0,X1,X1,esk25_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_99,negated_conjecture,
( cong(X1,X2,esk24_0,esk25_0)
| ~ cong(X1,X2,esk25_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_53]) ).
cnf(c_0_100,negated_conjecture,
coll(esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_95,c_0_89]) ).
fof(c_0_101,plain,
! [X381,X382,X383,X384,X385] :
( ~ midp(X385,X381,X382)
| ~ para(X381,X383,X382,X384)
| ~ para(X381,X384,X382,X383)
| midp(X385,X383,X384) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_102,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,negated_conjecture,
para(esk25_0,esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_98,c_0_94]) ).
cnf(c_0_104,negated_conjecture,
cong(esk25_0,esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_99,c_0_58]) ).
cnf(c_0_105,negated_conjecture,
coll(esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_45,c_0_100]) ).
cnf(c_0_106,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_101]) ).
cnf(c_0_107,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_108,negated_conjecture,
cong(esk25_0,esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_48,c_0_104]) ).
cnf(c_0_109,negated_conjecture,
coll(esk25_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_39,c_0_105]) ).
fof(c_0_110,plain,
! [X433,X434,X435,X436,X437,X438,X439,X440] :
( ~ eqratio(X433,X434,X435,X436,X437,X438,X439,X440)
| ~ cong(X437,X438,X439,X440)
| cong(X433,X434,X435,X436) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_111,plain,
! [X403,X404,X405,X406,X407,X408] :
( ~ midp(X407,X403,X404)
| ~ midp(X408,X405,X406)
| eqratio(X407,X403,X403,X404,X408,X405,X405,X406) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_112,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_107])]) ).
cnf(c_0_113,negated_conjecture,
midp(esk25_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_108]),c_0_109])]) ).
fof(c_0_114,plain,
! [X391,X392,X393] :
( ~ para(X391,X392,X391,X393)
| coll(X391,X392,X393) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_115,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_110]) ).
cnf(c_0_116,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_111]) ).
cnf(c_0_117,negated_conjecture,
midp(esk25_0,X1,X1),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_118,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_119,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_115,c_0_116]) ).
cnf(c_0_120,negated_conjecture,
cong(esk25_0,X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_42,c_0_117]) ).
cnf(c_0_121,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_118,c_0_107]) ).
cnf(c_0_122,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_119,c_0_120]),c_0_117])]) ).
cnf(c_0_123,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_39,c_0_121]) ).
fof(c_0_124,plain,
! [X417,X418,X419,X420,X421,X422,X423,X424] :
( ~ eqangle(X417,X418,X419,X420,X421,X422,X423,X424)
| ~ para(X421,X422,X423,X424)
| para(X417,X418,X419,X420) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_125,plain,
! [X296,X297,X298] :
( ~ cong(X298,X296,X298,X297)
| eqangle(X298,X296,X296,X297,X296,X297,X298,X297) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_126,negated_conjecture,
cong(esk25_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_122,c_0_117]) ).
fof(c_0_127,plain,
! [X291,X292,X293,X294,X295] :
( ~ midp(X294,X291,X292)
| ~ para(X294,X295,X292,X293)
| ~ coll(X295,X291,X293)
| midp(X295,X291,X293) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_128,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_45,c_0_123]) ).
cnf(c_0_129,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_124]) ).
cnf(c_0_130,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_131,negated_conjecture,
cong(X1,X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_52,c_0_126]) ).
cnf(c_0_132,plain,
( midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| ~ para(X1,X4,X3,X5)
| ~ coll(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_133,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_128]),c_0_128])]) ).
cnf(c_0_134,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_135,negated_conjecture,
cong(X1,X1,X1,esk25_0),
inference(spm,[status(thm)],[c_0_48,c_0_131]) ).
cnf(c_0_136,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_133])]) ).
cnf(c_0_137,negated_conjecture,
para(X1,X1,X1,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_107])]) ).
cnf(c_0_138,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_136,c_0_107]) ).
cnf(c_0_139,negated_conjecture,
( midp(X1,X2,esk25_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_140,negated_conjecture,
midp(X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_138,c_0_117]) ).
cnf(c_0_141,negated_conjecture,
midp(X1,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_142,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_112,c_0_141]) ).
cnf(c_0_143,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_138,c_0_142]) ).
fof(c_0_144,plain,
! [X286,X287,X288,X289,X290] :
( ~ midp(X289,X286,X287)
| ~ midp(X290,X286,X288)
| para(X289,X290,X287,X288) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_145,negated_conjecture,
midp(X1,X2,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_143])]) ).
fof(c_0_146,plain,
! [X116,X117,X118,X119,X120,X121,X122,X123] :
( ~ eqangle(X116,X117,X118,X119,X120,X121,X122,X123)
| eqangle(X120,X121,X122,X123,X116,X117,X118,X119) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
cnf(c_0_147,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_148,negated_conjecture,
midp(X1,esk25_0,X2),
inference(spm,[status(thm)],[c_0_37,c_0_145]) ).
cnf(c_0_149,plain,
( eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
fof(c_0_150,plain,
! [X124,X125,X126,X127,X128,X129,X130,X131] :
( ~ eqangle(X124,X125,X126,X127,X128,X129,X130,X131)
| eqangle(X124,X125,X128,X129,X126,X127,X130,X131) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_151,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_148])]) ).
cnf(c_0_152,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X5,X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_92]) ).
fof(c_0_153,plain,
! [X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143] :
( ~ eqangle(X132,X133,X134,X135,X136,X137,X138,X139)
| ~ eqangle(X136,X137,X138,X139,X140,X141,X142,X143)
| eqangle(X132,X133,X134,X135,X140,X141,X142,X143) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_154,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_150]) ).
cnf(c_0_155,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_151])]) ).
cnf(c_0_156,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_151])]) ).
cnf(c_0_157,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_153]) ).
cnf(c_0_158,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_159,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_154,c_0_156]) ).
cnf(c_0_160,negated_conjecture,
~ eqangle(esk26_0,esk24_0,esk24_0,esk27_0,esk21_0,esk28_0,esk28_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_161,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159])]) ).
cnf(c_0_162,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_161])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO613+1 : TPTP v8.1.0. Released v7.5.0.
% 0.13/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.33 % Computer : n006.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Fri Jun 17 22:49:27 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.44 # ENIGMATIC: Selected SinE mode:
% 0.20/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.41/2.49 # ENIGMATIC: Solved by autoschedule:
% 8.41/2.49 # No SInE strategy applied
% 8.41/2.49 # Trying AutoSched0 for 150 seconds
% 8.41/2.49 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.41/2.49 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.41/2.49 #
% 8.41/2.49 # Preprocessing time : 0.017 s
% 8.41/2.49 # Presaturation interreduction done
% 8.41/2.49
% 8.41/2.49 # Proof found!
% 8.41/2.49 # SZS status Theorem
% 8.41/2.49 # SZS output start CNFRefutation
% See solution above
% 8.41/2.49 # Training examples: 0 positive, 0 negative
% 8.41/2.49
% 8.41/2.49 # -------------------------------------------------
% 8.41/2.49 # User time : 0.171 s
% 8.41/2.49 # System time : 0.010 s
% 8.41/2.49 # Total time : 0.181 s
% 8.41/2.49 # Maximum resident set size: 7120 pages
% 8.41/2.49
%------------------------------------------------------------------------------