TSTP Solution File: GEO651+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO651+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 03:46:47 EDT 2022
% Result : Theorem 9.05s 2.51s
% Output : CNFRefutation 9.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 25
% Syntax : Number of formulae : 161 ( 61 unt; 0 def)
% Number of atoms : 341 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 293 ( 113 ~; 110 |; 44 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-6 aty)
% Number of variables : 481 ( 30 sgn 246 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE02212,conjecture,
! [X1,X2,X3,X4,X5,X6,X19,X20,X21] :
( ( coll(X4,X1,X2)
& eqangle(X1,X3,X3,X4,X4,X3,X3,X2)
& midp(X19,X1,X2)
& perp(X1,X2,X19,X5)
& midp(X20,X1,X3)
& perp(X1,X3,X20,X5)
& midp(X21,X2,X3)
& perp(X2,X3,X21,X5)
& perp(X3,X5,X3,X6)
& para(X1,X3,X6,X4) )
=> cong(X3,X6,X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02212) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
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(ruleD6,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X1,X2,X3,X4)
& para(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
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(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(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(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(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(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(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(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(c_0_25,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X19,X20,X21] :
( ( coll(X4,X1,X2)
& eqangle(X1,X3,X3,X4,X4,X3,X3,X2)
& midp(X19,X1,X2)
& perp(X1,X2,X19,X5)
& midp(X20,X1,X3)
& perp(X1,X3,X20,X5)
& midp(X21,X2,X3)
& perp(X2,X3,X21,X5)
& perp(X3,X5,X3,X6)
& para(X1,X3,X6,X4) )
=> cong(X3,X6,X4,X2) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE02212]) ).
fof(c_0_26,plain,
! [X36,X37,X38,X39] :
( ~ para(X36,X37,X38,X39)
| para(X38,X39,X36,X37) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
fof(c_0_27,negated_conjecture,
( coll(esk24_0,esk21_0,esk22_0)
& eqangle(esk21_0,esk23_0,esk23_0,esk24_0,esk24_0,esk23_0,esk23_0,esk22_0)
& midp(esk27_0,esk21_0,esk22_0)
& perp(esk21_0,esk22_0,esk27_0,esk25_0)
& midp(esk28_0,esk21_0,esk23_0)
& perp(esk21_0,esk23_0,esk28_0,esk25_0)
& midp(esk29_0,esk22_0,esk23_0)
& perp(esk22_0,esk23_0,esk29_0,esk25_0)
& perp(esk23_0,esk25_0,esk23_0,esk26_0)
& para(esk21_0,esk23_0,esk26_0,esk24_0)
& ~ cong(esk23_0,esk26_0,esk24_0,esk22_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_28,plain,
! [X32,X33,X34,X35] :
( ~ para(X32,X33,X34,X35)
| para(X32,X33,X35,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_29,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,negated_conjecture,
para(esk21_0,esk23_0,esk26_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_31,plain,
! [X395,X396,X397] :
( ~ midp(X395,X396,X397)
| coll(X395,X396,X397) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_32,plain,
! [X40,X41,X42,X43,X44,X45] :
( ~ para(X40,X41,X42,X43)
| ~ para(X42,X43,X44,X45)
| para(X40,X41,X44,X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).
cnf(c_0_33,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
para(esk26_0,esk24_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_35,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_36,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,negated_conjecture,
midp(esk29_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
( para(X1,X2,X5,X6)
| ~ para(X1,X2,X3,X4)
| ~ para(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,negated_conjecture,
para(esk26_0,esk24_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_40,plain,
! [X392,X393,X394] :
( ~ midp(X392,X393,X394)
| cong(X392,X393,X392,X394) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_41,plain,
! [X66,X67,X68] :
( ~ midp(X68,X67,X66)
| midp(X68,X66,X67) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_42,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,negated_conjecture,
coll(esk29_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_44,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_45,negated_conjecture,
( para(X1,X2,esk21_0,esk23_0)
| ~ para(X1,X2,esk26_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_34]) ).
cnf(c_0_46,negated_conjecture,
para(esk23_0,esk21_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_29,c_0_39]) ).
fof(c_0_47,plain,
! [X147,X148,X149,X150,X151,X152] :
( ~ cong(X147,X148,X149,X150)
| ~ cong(X149,X150,X151,X152)
| cong(X147,X148,X151,X152) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_48,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,negated_conjecture,
( coll(X1,esk23_0,esk29_0)
| ~ coll(esk29_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_51,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_52,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,negated_conjecture,
midp(esk27_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_54,plain,
! [X376,X377,X378,X379,X380] :
( ~ midp(X380,X376,X377)
| ~ para(X376,X378,X377,X379)
| ~ para(X376,X379,X377,X378)
| midp(X380,X378,X379) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_55,negated_conjecture,
para(esk23_0,esk21_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_56,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,negated_conjecture,
cong(esk29_0,esk22_0,esk29_0,esk23_0),
inference(spm,[status(thm)],[c_0_48,c_0_37]) ).
cnf(c_0_58,negated_conjecture,
midp(esk29_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_49,c_0_37]) ).
cnf(c_0_59,negated_conjecture,
coll(esk23_0,esk23_0,esk29_0),
inference(spm,[status(thm)],[c_0_50,c_0_43]) ).
cnf(c_0_60,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_61,negated_conjecture,
coll(esk29_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_52,c_0_43]) ).
cnf(c_0_62,negated_conjecture,
coll(esk27_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_36,c_0_53]) ).
cnf(c_0_63,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_54]) ).
cnf(c_0_64,negated_conjecture,
para(esk23_0,esk21_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_33,c_0_55]) ).
fof(c_0_65,plain,
! [X389,X390,X391] :
( ~ cong(X389,X390,X389,X391)
| ~ coll(X389,X390,X391)
| midp(X389,X390,X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_66,negated_conjecture,
( cong(X1,X2,esk29_0,esk23_0)
| ~ cong(X1,X2,esk29_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_67,negated_conjecture,
cong(esk29_0,esk23_0,esk29_0,esk22_0),
inference(spm,[status(thm)],[c_0_48,c_0_58]) ).
cnf(c_0_68,negated_conjecture,
coll(esk23_0,esk29_0,esk23_0),
inference(spm,[status(thm)],[c_0_52,c_0_59]) ).
cnf(c_0_69,negated_conjecture,
coll(esk22_0,esk29_0,esk23_0),
inference(spm,[status(thm)],[c_0_60,c_0_43]) ).
cnf(c_0_70,negated_conjecture,
( coll(X1,esk22_0,esk29_0)
| ~ coll(esk29_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_61]) ).
cnf(c_0_71,negated_conjecture,
coll(esk21_0,esk27_0,esk22_0),
inference(spm,[status(thm)],[c_0_60,c_0_62]) ).
cnf(c_0_72,negated_conjecture,
( midp(X1,esk21_0,esk21_0)
| ~ midp(X1,esk23_0,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_64])]) ).
cnf(c_0_73,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_74,negated_conjecture,
cong(esk29_0,esk23_0,esk29_0,esk23_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_75,negated_conjecture,
coll(esk29_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_60,c_0_68]) ).
cnf(c_0_76,negated_conjecture,
coll(esk22_0,esk23_0,esk29_0),
inference(spm,[status(thm)],[c_0_52,c_0_69]) ).
cnf(c_0_77,negated_conjecture,
coll(esk22_0,esk22_0,esk29_0),
inference(spm,[status(thm)],[c_0_70,c_0_61]) ).
cnf(c_0_78,negated_conjecture,
( coll(X1,esk22_0,esk21_0)
| ~ coll(esk21_0,esk27_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_71]) ).
fof(c_0_79,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_80,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_81,plain,
! [X139,X140,X141,X142] :
( ~ cong(X139,X140,X141,X142)
| cong(X139,X140,X142,X141) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_82,negated_conjecture,
( cong(X1,esk21_0,X1,esk21_0)
| ~ midp(X1,esk23_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_72]) ).
cnf(c_0_83,negated_conjecture,
midp(esk29_0,esk23_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).
cnf(c_0_84,negated_conjecture,
( coll(X1,esk29_0,esk22_0)
| ~ coll(esk22_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_76]) ).
cnf(c_0_85,negated_conjecture,
( coll(X1,esk29_0,esk22_0)
| ~ coll(esk22_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_77]) ).
cnf(c_0_86,negated_conjecture,
coll(esk22_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_78,c_0_71]) ).
fof(c_0_87,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_88,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_79]) ).
cnf(c_0_89,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
fof(c_0_90,plain,
! [X143,X144,X145,X146] :
( ~ cong(X143,X144,X145,X146)
| cong(X145,X146,X143,X144) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_91,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_92,negated_conjecture,
cong(esk29_0,esk21_0,esk29_0,esk21_0),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_93,negated_conjecture,
coll(esk29_0,esk29_0,esk22_0),
inference(spm,[status(thm)],[c_0_84,c_0_76]) ).
cnf(c_0_94,negated_conjecture,
coll(esk21_0,esk29_0,esk22_0),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_95,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_96,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_97,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_98,negated_conjecture,
cong(esk29_0,esk21_0,esk21_0,esk29_0),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_99,negated_conjecture,
coll(esk29_0,esk22_0,esk29_0),
inference(spm,[status(thm)],[c_0_52,c_0_93]) ).
cnf(c_0_100,negated_conjecture,
coll(esk29_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_60,c_0_94]) ).
cnf(c_0_101,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,negated_conjecture,
cong(esk21_0,esk29_0,esk29_0,esk21_0),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_103,negated_conjecture,
( coll(X1,esk29_0,esk29_0)
| ~ coll(esk29_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_99]) ).
cnf(c_0_104,negated_conjecture,
coll(esk29_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_52,c_0_100]) ).
cnf(c_0_105,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_101,c_0_64]) ).
cnf(c_0_106,negated_conjecture,
cong(esk21_0,esk29_0,esk21_0,esk29_0),
inference(spm,[status(thm)],[c_0_91,c_0_102]) ).
cnf(c_0_107,negated_conjecture,
coll(esk21_0,esk29_0,esk29_0),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
fof(c_0_108,plain,
! [X428,X429,X430,X431,X432,X433,X434,X435] :
( ~ eqratio(X428,X429,X430,X431,X432,X433,X434,X435)
| ~ cong(X432,X433,X434,X435)
| cong(X428,X429,X430,X431) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_109,plain,
! [X398,X399,X400,X401,X402,X403] :
( ~ midp(X402,X398,X399)
| ~ midp(X403,X400,X401)
| eqratio(X402,X398,X398,X399,X403,X400,X400,X401) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
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_63,c_0_105]),c_0_105])]) ).
cnf(c_0_111,negated_conjecture,
midp(esk21_0,esk29_0,esk29_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_106]),c_0_107])]) ).
fof(c_0_112,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_113,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_108]) ).
cnf(c_0_114,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_109]) ).
cnf(c_0_115,negated_conjecture,
midp(esk21_0,X1,X1),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_116,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_117,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_113,c_0_114]) ).
cnf(c_0_118,negated_conjecture,
cong(esk21_0,esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_82,c_0_115]) ).
cnf(c_0_119,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_116,c_0_105]) ).
cnf(c_0_120,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_117,c_0_118]),c_0_115])]) ).
cnf(c_0_121,negated_conjecture,
midp(esk29_0,X1,X1),
inference(spm,[status(thm)],[c_0_110,c_0_83]) ).
cnf(c_0_122,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_60,c_0_119]) ).
fof(c_0_123,plain,
! [X412,X413,X414,X415,X416,X417,X418,X419] :
( ~ eqangle(X412,X413,X414,X415,X416,X417,X418,X419)
| ~ para(X416,X417,X418,X419)
| para(X412,X413,X414,X415) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_124,plain,
! [X291,X292,X293] :
( ~ cong(X293,X291,X293,X292)
| eqangle(X293,X291,X291,X292,X291,X292,X293,X292) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_125,negated_conjecture,
cong(esk29_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_126,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_122]) ).
fof(c_0_127,plain,
! [X286,X287,X288,X289,X290] :
( ~ midp(X289,X286,X287)
| ~ para(X289,X290,X287,X288)
| ~ coll(X290,X286,X288)
| midp(X290,X286,X288) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_128,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_123]) ).
cnf(c_0_129,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_130,negated_conjecture,
cong(X1,X1,esk29_0,X1),
inference(spm,[status(thm)],[c_0_97,c_0_125]) ).
cnf(c_0_131,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_126]),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,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_134,negated_conjecture,
cong(X1,X1,X1,esk29_0),
inference(spm,[status(thm)],[c_0_91,c_0_130]) ).
cnf(c_0_135,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,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_131])]) ).
cnf(c_0_137,negated_conjecture,
para(X1,X1,X1,esk29_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_105])]) ).
cnf(c_0_138,negated_conjecture,
midp(X1,X1,esk29_0),
inference(spm,[status(thm)],[c_0_135,c_0_134]) ).
cnf(c_0_139,negated_conjecture,
( midp(X1,X2,esk29_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_140,negated_conjecture,
midp(X1,esk29_0,X1),
inference(spm,[status(thm)],[c_0_49,c_0_138]) ).
fof(c_0_141,plain,
! [X462,X463,X464,X465,X466,X467] :
( ( midp(esk6_6(X462,X463,X464,X465,X466,X467),X462,X465)
| ~ midp(X466,X462,X463)
| ~ midp(X467,X464,X465) )
& ( para(esk6_6(X462,X463,X464,X465,X466,X467),X466,X463,X465)
| ~ midp(X466,X462,X463)
| ~ midp(X467,X464,X465) )
& ( para(esk6_6(X462,X463,X464,X465,X466,X467),X467,X462,X464)
| ~ midp(X466,X462,X463)
| ~ midp(X467,X464,X465) ) ),
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_142,negated_conjecture,
midp(X1,esk29_0,esk29_0),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_143,plain,
( para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X2,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_144,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_136,c_0_105]) ).
cnf(c_0_145,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_110,c_0_142]) ).
cnf(c_0_146,plain,
( midp(X1,X2,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| ~ midp(X7,X6,X3)
| ~ midp(X1,X4,X5)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_132,c_0_143]) ).
cnf(c_0_147,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_148,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_33,c_0_105]) ).
cnf(c_0_149,plain,
( midp(X1,X2,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| ~ midp(X7,X6,X3)
| ~ midp(X1,X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_131])]) ).
cnf(c_0_150,negated_conjecture,
midp(X1,X2,esk29_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_147])]) ).
cnf(c_0_151,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_136,c_0_148]) ).
cnf(c_0_152,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X4,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_150])]) ).
cnf(c_0_153,negated_conjecture,
midp(esk29_0,X1,X2),
inference(spm,[status(thm)],[c_0_151,c_0_150]) ).
cnf(c_0_154,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_155,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_154])]) ).
cnf(c_0_156,negated_conjecture,
( cong(X1,X2,X3,X4)
| ~ cong(X1,X2,X5,X3) ),
inference(spm,[status(thm)],[c_0_56,c_0_155]) ).
cnf(c_0_157,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_154])]) ).
cnf(c_0_158,negated_conjecture,
~ cong(esk23_0,esk26_0,esk24_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_159,negated_conjecture,
cong(X1,X2,X3,X4),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_160,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO651+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n024.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 : Fri Jun 17 19:09:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox2/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
% 9.05/2.51 # ENIGMATIC: Solved by autoschedule:
% 9.05/2.51 # No SInE strategy applied
% 9.05/2.51 # Trying AutoSched0 for 150 seconds
% 9.05/2.51 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.05/2.51 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.05/2.51 #
% 9.05/2.51 # Preprocessing time : 0.032 s
% 9.05/2.51 # Presaturation interreduction done
% 9.05/2.51
% 9.05/2.51 # Proof found!
% 9.05/2.51 # SZS status Theorem
% 9.05/2.51 # SZS output start CNFRefutation
% See solution above
% 9.05/2.52 # Training examples: 0 positive, 0 negative
% 9.05/2.52
% 9.05/2.52 # -------------------------------------------------
% 9.05/2.52 # User time : 0.289 s
% 9.05/2.52 # System time : 0.012 s
% 9.05/2.52 # Total time : 0.301 s
% 9.05/2.52 # Maximum resident set size: 7120 pages
% 9.05/2.52
%------------------------------------------------------------------------------