%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO644+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 03:46:45 EDT 2022
% Result : Theorem 9.32s 2.66s
% Output : CNFRefutation 9.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 28
% Syntax : Number of formulae : 167 ( 55 unt; 0 def)
% Number of atoms : 357 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 315 ( 125 ~; 122 |; 39 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-6 aty)
% Number of variables : 518 ( 25 sgn 268 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE0061,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14] :
( ( para(X2,X3,X1,X4)
& para(X1,X2,X3,X4)
& midp(X5,X3,X4)
& midp(X6,X2,X1)
& coll(X13,X1,X3)
& coll(X13,X4,X6)
& coll(X14,X2,X5)
& coll(X14,X1,X3) )
=> cong(X1,X13,X13,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0061) ).
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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(ruleD12,axiom,
! [X1,X2,X3,X8] :
( ( cong(X8,X1,X8,X2)
& cong(X8,X1,X8,X3) )
=> circle(X8,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
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(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(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(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(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(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(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(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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(c_0_28,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14] :
( ( para(X2,X3,X1,X4)
& para(X1,X2,X3,X4)
& midp(X5,X3,X4)
& midp(X6,X2,X1)
& coll(X13,X1,X3)
& coll(X13,X4,X6)
& coll(X14,X2,X5)
& coll(X14,X1,X3) )
=> cong(X1,X13,X13,X14) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0061]) ).
fof(c_0_29,plain,
! [X51,X52,X53,X54,X55,X56] :
( ~ perp(X51,X52,X53,X54)
| ~ perp(X53,X54,X55,X56)
| para(X51,X52,X55,X56) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_30,plain,
! [X493,X494,X495,X496] :
( ~ circle(X496,X493,X494,X495)
| perp(esk12_4(X493,X494,X495,X496),X493,X493,X496) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_31,plain,
! [X47,X48,X49,X50] :
( ~ perp(X47,X48,X49,X50)
| perp(X49,X50,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_32,plain,
! [X389,X390,X391] :
( ~ midp(X389,X390,X391)
| cong(X389,X390,X389,X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_33,negated_conjecture,
( para(esk22_0,esk23_0,esk21_0,esk24_0)
& para(esk21_0,esk22_0,esk23_0,esk24_0)
& midp(esk25_0,esk23_0,esk24_0)
& midp(esk26_0,esk22_0,esk21_0)
& coll(esk27_0,esk21_0,esk23_0)
& coll(esk27_0,esk24_0,esk26_0)
& coll(esk28_0,esk22_0,esk25_0)
& coll(esk28_0,esk21_0,esk23_0)
& ~ cong(esk21_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_34,plain,
! [X63,X64,X65] :
( ~ midp(X65,X64,X63)
| midp(X65,X63,X64) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_35,plain,
! [X392,X393,X394] :
( ~ midp(X392,X393,X394)
| coll(X392,X393,X394) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
cnf(c_0_36,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_39,plain,
! [X66,X67,X68,X69] :
( ~ cong(X69,X66,X69,X67)
| ~ cong(X69,X66,X69,X68)
| circle(X69,X66,X67,X68) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])]) ).
cnf(c_0_40,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,negated_conjecture,
midp(esk26_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_43,plain,
! [X22,X23,X24] :
( ~ coll(X22,X23,X24)
| coll(X23,X22,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_44,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,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_36,c_0_37]) ).
cnf(c_0_46,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_37]) ).
cnf(c_0_47,plain,
( circle(X1,X2,X3,X4)
| ~ cong(X1,X2,X1,X3)
| ~ cong(X1,X2,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,negated_conjecture,
cong(esk26_0,esk22_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_49,plain,
! [X144,X145,X146,X147,X148,X149] :
( ~ cong(X144,X145,X146,X147)
| ~ cong(X146,X147,X148,X149)
| cong(X144,X145,X148,X149) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_50,negated_conjecture,
midp(esk26_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
fof(c_0_51,plain,
! [X19,X20,X21] :
( ~ coll(X19,X20,X21)
| coll(X19,X21,X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_52,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,negated_conjecture,
coll(esk26_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_44,c_0_41]) ).
cnf(c_0_54,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_55,negated_conjecture,
( circle(esk26_0,esk22_0,X1,esk21_0)
| ~ cong(esk26_0,esk22_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
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_49]) ).
cnf(c_0_57,negated_conjecture,
cong(esk26_0,esk21_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_40,c_0_50]) ).
fof(c_0_58,plain,
! [X25,X26,X27,X28] :
( ~ coll(X25,X26,X27)
| ~ coll(X25,X26,X28)
| coll(X27,X28,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_59,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,negated_conjecture,
coll(esk22_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_61,plain,
! [X136,X137,X138,X139] :
( ~ cong(X136,X137,X138,X139)
| cong(X136,X137,X139,X138) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
fof(c_0_62,plain,
! [X29,X30,X31,X32] :
( ~ para(X29,X30,X31,X32)
| para(X29,X30,X32,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_63,negated_conjecture,
( para(esk22_0,esk26_0,esk22_0,esk26_0)
| ~ cong(esk26_0,esk22_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_64,negated_conjecture,
( cong(X1,X2,esk26_0,esk22_0)
| ~ cong(X1,X2,esk26_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_66,negated_conjecture,
coll(esk22_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_68,negated_conjecture,
coll(esk26_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_59,c_0_53]) ).
fof(c_0_69,plain,
! [X33,X34,X35,X36] :
( ~ para(X33,X34,X35,X36)
| para(X35,X36,X33,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_70,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_71,negated_conjecture,
para(esk22_0,esk26_0,esk22_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_48])]) ).
fof(c_0_72,plain,
! [X140,X141,X142,X143] :
( ~ cong(X140,X141,X142,X143)
| cong(X142,X143,X140,X141) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_73,negated_conjecture,
( coll(X1,esk26_0,esk22_0)
| ~ coll(esk22_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_74,negated_conjecture,
cong(esk26_0,esk21_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_67,c_0_57]) ).
cnf(c_0_75,negated_conjecture,
( coll(X1,esk22_0,esk26_0)
| ~ coll(esk26_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_68]) ).
cnf(c_0_76,negated_conjecture,
coll(esk27_0,esk24_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_77,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_78,negated_conjecture,
para(esk22_0,esk26_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_79,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_80,negated_conjecture,
coll(esk26_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_73,c_0_66]) ).
fof(c_0_81,plain,
! [X100,X101,X102,X103,X104,X105,X106,X107] :
( ~ eqangle(X100,X101,X102,X103,X104,X105,X106,X107)
| eqangle(X102,X103,X100,X101,X106,X107,X104,X105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_82,plain,
! [X254,X255,X256,X257,X258,X259] :
( ~ para(X254,X255,X256,X257)
| eqangle(X254,X255,X258,X259,X256,X257,X258,X259) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_83,plain,
! [X373,X374,X375,X376,X377] :
( ~ midp(X377,X373,X374)
| ~ para(X373,X375,X374,X376)
| ~ para(X373,X376,X374,X375)
| midp(X377,X375,X376) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_84,negated_conjecture,
( cong(X1,X2,esk22_0,esk26_0)
| ~ cong(X1,X2,esk26_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_74]) ).
cnf(c_0_85,negated_conjecture,
coll(esk22_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_75,c_0_68]) ).
cnf(c_0_86,negated_conjecture,
( coll(X1,esk26_0,esk27_0)
| ~ coll(esk27_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_76]) ).
cnf(c_0_87,negated_conjecture,
para(esk26_0,esk22_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_88,plain,
! [X386,X387,X388] :
( ~ cong(X386,X387,X386,X388)
| ~ coll(X386,X387,X388)
| midp(X386,X387,X388) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_89,negated_conjecture,
cong(esk22_0,esk26_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_79,c_0_74]) ).
cnf(c_0_90,negated_conjecture,
coll(esk26_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_59,c_0_80]) ).
fof(c_0_91,plain,
! [X248,X249,X250,X251,X252,X253] :
( ~ eqangle(X248,X249,X252,X253,X250,X251,X252,X253)
| para(X248,X249,X250,X251) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_92,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_81]) ).
cnf(c_0_93,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_94,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_83]) ).
cnf(c_0_95,negated_conjecture,
cong(esk26_0,esk22_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_84,c_0_48]) ).
cnf(c_0_96,negated_conjecture,
coll(esk22_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_59,c_0_85]) ).
cnf(c_0_97,negated_conjecture,
coll(esk26_0,esk26_0,esk27_0),
inference(spm,[status(thm)],[c_0_86,c_0_76]) ).
cnf(c_0_98,negated_conjecture,
para(esk26_0,esk22_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_70,c_0_87]) ).
cnf(c_0_99,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_100,negated_conjecture,
cong(esk22_0,esk26_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_84,c_0_89]) ).
cnf(c_0_101,negated_conjecture,
coll(esk22_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_52,c_0_90]) ).
cnf(c_0_102,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_103,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_104,negated_conjecture,
( midp(X1,esk26_0,esk26_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_71]),c_0_71])]) ).
cnf(c_0_105,negated_conjecture,
cong(esk26_0,esk22_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_67,c_0_95]) ).
cnf(c_0_106,negated_conjecture,
coll(esk26_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_52,c_0_96]) ).
cnf(c_0_107,negated_conjecture,
coll(esk26_0,esk27_0,esk26_0),
inference(spm,[status(thm)],[c_0_59,c_0_97]) ).
fof(c_0_108,plain,
! [X425,X426,X427,X428,X429,X430,X431,X432] :
( ~ eqratio(X425,X426,X427,X428,X429,X430,X431,X432)
| ~ cong(X429,X430,X431,X432)
| cong(X425,X426,X427,X428) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_109,plain,
! [X395,X396,X397,X398,X399,X400] :
( ~ midp(X399,X395,X396)
| ~ midp(X400,X397,X398)
| eqratio(X399,X395,X395,X396,X400,X397,X397,X398) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_110,negated_conjecture,
( midp(X1,esk22_0,esk22_0)
| ~ midp(X1,esk26_0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_98]),c_0_98])]) ).
cnf(c_0_111,negated_conjecture,
midp(esk22_0,esk26_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]) ).
cnf(c_0_112,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_113,negated_conjecture,
( cong(X1,esk26_0,X1,esk26_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_104]) ).
cnf(c_0_114,negated_conjecture,
midp(esk26_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_105]),c_0_106])]) ).
cnf(c_0_115,negated_conjecture,
( coll(X1,esk26_0,esk26_0)
| ~ coll(esk26_0,esk27_0,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_107]) ).
fof(c_0_116,plain,
! [X383,X384,X385] :
( ~ para(X383,X384,X383,X385)
| coll(X383,X384,X385) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_117,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_118,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_119,negated_conjecture,
midp(esk22_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_120,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_112,c_0_98]) ).
cnf(c_0_121,negated_conjecture,
cong(esk26_0,esk26_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_122,negated_conjecture,
coll(esk26_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_115,c_0_107]) ).
cnf(c_0_123,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_124,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_117,c_0_118]) ).
cnf(c_0_125,negated_conjecture,
cong(esk22_0,esk22_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_40,c_0_119]) ).
cnf(c_0_126,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_120]),c_0_120])]) ).
cnf(c_0_127,negated_conjecture,
midp(esk26_0,esk26_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_121]),c_0_122])]) ).
cnf(c_0_128,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_123,c_0_120]) ).
cnf(c_0_129,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_124,c_0_125]),c_0_119])]) ).
cnf(c_0_130,negated_conjecture,
midp(esk26_0,X1,X1),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_131,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_52,c_0_128]) ).
fof(c_0_132,plain,
! [X409,X410,X411,X412,X413,X414,X415,X416] :
( ~ eqangle(X409,X410,X411,X412,X413,X414,X415,X416)
| ~ para(X413,X414,X415,X416)
| para(X409,X410,X411,X412) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_133,plain,
! [X288,X289,X290] :
( ~ cong(X290,X288,X290,X289)
| eqangle(X290,X288,X288,X289,X288,X289,X290,X289) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_134,negated_conjecture,
cong(esk26_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_135,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_59,c_0_131]) ).
fof(c_0_136,plain,
! [X283,X284,X285,X286,X287] :
( ~ midp(X286,X283,X284)
| ~ para(X286,X287,X284,X285)
| ~ coll(X287,X283,X285)
| midp(X287,X283,X285) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_137,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_132]) ).
cnf(c_0_138,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_139,negated_conjecture,
cong(X1,X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_79,c_0_134]) ).
cnf(c_0_140,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_135]),c_0_135])]) ).
cnf(c_0_141,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_136]) ).
cnf(c_0_142,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_143,negated_conjecture,
cong(X1,X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_67,c_0_139]) ).
cnf(c_0_144,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_140])]) ).
cnf(c_0_145,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_140])]) ).
cnf(c_0_146,negated_conjecture,
para(X1,X1,X1,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_120])]) ).
cnf(c_0_147,negated_conjecture,
midp(X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_144,c_0_143]) ).
cnf(c_0_148,negated_conjecture,
( midp(X1,X2,esk26_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_149,negated_conjecture,
midp(X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_42,c_0_147]) ).
fof(c_0_150,plain,
! [X459,X460,X461,X462,X463,X464] :
( ( midp(esk6_6(X459,X460,X461,X462,X463,X464),X459,X462)
| ~ midp(X463,X459,X460)
| ~ midp(X464,X461,X462) )
& ( para(esk6_6(X459,X460,X461,X462,X463,X464),X463,X460,X462)
| ~ midp(X463,X459,X460)
| ~ midp(X464,X461,X462) )
& ( para(esk6_6(X459,X460,X461,X462,X463,X464),X464,X459,X461)
| ~ midp(X463,X459,X460)
| ~ midp(X464,X461,X462) ) ),
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_151,negated_conjecture,
midp(X1,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_152,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_150]) ).
cnf(c_0_153,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_145,c_0_120]) ).
cnf(c_0_154,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_126,c_0_151]) ).
cnf(c_0_155,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_141,c_0_152]) ).
cnf(c_0_156,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_157,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_70,c_0_120]) ).
cnf(c_0_158,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_155,c_0_140])]) ).
cnf(c_0_159,negated_conjecture,
midp(X1,X2,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_156])]) ).
cnf(c_0_160,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_145,c_0_157]) ).
cnf(c_0_161,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X4,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_159])]) ).
cnf(c_0_162,negated_conjecture,
midp(esk26_0,X1,X2),
inference(spm,[status(thm)],[c_0_160,c_0_159]) ).
cnf(c_0_163,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_164,negated_conjecture,
~ cong(esk21_0,esk27_0,esk27_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_165,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_163])]) ).
cnf(c_0_166,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_165])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO644+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 11:37:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 0.19/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.32/2.66 # ENIGMATIC: Solved by autoschedule:
% 9.32/2.66 # No SInE strategy applied
% 9.32/2.66 # Trying AutoSched0 for 150 seconds
% 9.32/2.66 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.32/2.66 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.32/2.66 #
% 9.32/2.66 # Preprocessing time : 0.025 s
% 9.32/2.66 # Presaturation interreduction done
% 9.32/2.66
% 9.32/2.66 # Proof found!
% 9.32/2.66 # SZS status Theorem
% 9.32/2.66 # SZS output start CNFRefutation
% See solution above
% 9.32/2.66 # Training examples: 0 positive, 0 negative
% 9.32/2.66
% 9.32/2.66 # -------------------------------------------------
% 9.32/2.66 # User time : 0.189 s
% 9.32/2.66 # System time : 0.006 s
% 9.32/2.66 # Total time : 0.195 s
% 9.32/2.66 # Maximum resident set size: 7120 pages
% 9.32/2.66
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