TSTP Solution File: GEO597+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO597+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 03:46:29 EDT 2022
% Result : Theorem 7.56s 2.34s
% Output : CNFRefutation 7.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 35
% Syntax : Number of formulae : 212 ( 74 unt; 0 def)
% Number of atoms : 439 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 387 ( 160 ~; 157 |; 34 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 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; 7 con; 0-6 aty)
% Number of variables : 726 ( 54 sgn 368 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416059,conjecture,
! [X1,X2,X3,X8,X7,X17,X19] :
( ( circle(X8,X1,X2,X3)
& midp(X7,X2,X1)
& coll(X17,X8,X7)
& circle(X8,X1,X17,X19) )
=> eqangle(X1,X3,X3,X17,X17,X3,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416059) ).
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(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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(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(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
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(ruleX7,axiom,
! [X1,X2,X3,X4,X7,X17,X10] :
? [X9] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4)
& coll(X3,X1,X2)
& coll(X4,X1,X2) )
=> midp(X9,X1,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX7) ).
fof(ruleD10,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> perp(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
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(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(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(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(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(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/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/sandbox/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/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_35,negated_conjecture,
~ ! [X1,X2,X3,X8,X7,X17,X19] :
( ( circle(X8,X1,X2,X3)
& midp(X7,X2,X1)
& coll(X17,X8,X7)
& circle(X8,X1,X17,X19) )
=> eqangle(X1,X3,X3,X17,X17,X3,X3,X2) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416059]) ).
fof(c_0_36,plain,
! [X390,X391,X392] :
( ~ midp(X390,X391,X392)
| cong(X390,X391,X390,X392) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_37,negated_conjecture,
( circle(esk24_0,esk21_0,esk22_0,esk23_0)
& midp(esk25_0,esk22_0,esk21_0)
& coll(esk26_0,esk24_0,esk25_0)
& circle(esk24_0,esk21_0,esk26_0,esk27_0)
& ~ eqangle(esk21_0,esk23_0,esk23_0,esk26_0,esk26_0,esk23_0,esk23_0,esk22_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
fof(c_0_38,plain,
! [X393,X394,X395] :
( ~ midp(X393,X394,X395)
| coll(X393,X394,X395) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_39,plain,
! [X52,X53,X54,X55,X56,X57] :
( ~ perp(X52,X53,X54,X55)
| ~ perp(X54,X55,X56,X57)
| para(X52,X53,X56,X57) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_40,plain,
! [X494,X495,X496,X497] :
( ~ circle(X497,X494,X495,X496)
| perp(esk12_4(X494,X495,X496,X497),X494,X494,X497) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_41,plain,
! [X48,X49,X50,X51] :
( ~ perp(X48,X49,X50,X51)
| perp(X50,X51,X48,X49) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_42,plain,
! [X137,X138,X139,X140] :
( ~ cong(X137,X138,X139,X140)
| cong(X137,X138,X140,X139) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_43,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,negated_conjecture,
midp(esk25_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_45,plain,
! [X64,X65,X66] :
( ~ midp(X66,X65,X64)
| midp(X66,X64,X65) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_46,plain,
! [X26,X27,X28,X29] :
( ~ coll(X26,X27,X28)
| ~ coll(X26,X27,X29)
| coll(X28,X29,X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_47,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_51,plain,
! [X145,X146,X147,X148,X149,X150] :
( ~ cong(X145,X146,X147,X148)
| ~ cong(X147,X148,X149,X150)
| cong(X145,X146,X149,X150) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_52,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_53,negated_conjecture,
cong(esk25_0,esk22_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_54,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_56,negated_conjecture,
coll(esk25_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_47,c_0_44]) ).
fof(c_0_57,plain,
! [X23,X24,X25] :
( ~ coll(X23,X24,X25)
| coll(X24,X23,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_58,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_48,c_0_49]) ).
cnf(c_0_59,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_60,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_61,negated_conjecture,
cong(esk25_0,esk22_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_62,negated_conjecture,
midp(esk25_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_54,c_0_44]) ).
fof(c_0_63,plain,
! [X20,X21,X22] :
( ~ coll(X20,X21,X22)
| coll(X20,X22,X21) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_64,negated_conjecture,
( coll(X1,esk21_0,esk25_0)
| ~ coll(esk25_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_66,plain,
! [X374,X375,X376,X377,X378] :
( ~ midp(X378,X374,X375)
| ~ para(X374,X376,X375,X377)
| ~ para(X374,X377,X375,X376)
| midp(X378,X376,X377) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_67,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_68,negated_conjecture,
circle(esk24_0,esk21_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_69,negated_conjecture,
( cong(X1,X2,esk21_0,esk25_0)
| ~ cong(X1,X2,esk25_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_70,negated_conjecture,
cong(esk25_0,esk21_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_43,c_0_62]) ).
cnf(c_0_71,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_72,negated_conjecture,
coll(esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_64,c_0_56]) ).
cnf(c_0_73,negated_conjecture,
coll(esk22_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_65,c_0_56]) ).
cnf(c_0_74,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_66]) ).
cnf(c_0_75,negated_conjecture,
para(esk21_0,esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
fof(c_0_76,plain,
! [X387,X388,X389] :
( ~ cong(X387,X388,X387,X389)
| ~ coll(X387,X388,X389)
| midp(X387,X388,X389) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_77,negated_conjecture,
cong(esk25_0,esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_78,negated_conjecture,
coll(esk21_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,negated_conjecture,
coll(esk22_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_71,c_0_73]) ).
cnf(c_0_80,negated_conjecture,
( midp(X1,esk24_0,esk24_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_75])]) ).
cnf(c_0_81,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_82,negated_conjecture,
cong(esk25_0,esk21_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_52,c_0_77]) ).
cnf(c_0_83,negated_conjecture,
coll(esk25_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_65,c_0_78]) ).
cnf(c_0_84,negated_conjecture,
coll(esk26_0,esk24_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_85,plain,
! [X331,X332,X333,X334] :
( ~ cong(X331,X333,X332,X333)
| ~ cong(X331,X334,X332,X334)
| perp(X331,X332,X333,X334) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_86,negated_conjecture,
( coll(X1,esk25_0,esk22_0)
| ~ coll(esk22_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_79]) ).
cnf(c_0_87,negated_conjecture,
( cong(X1,esk24_0,X1,esk24_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_80]) ).
cnf(c_0_88,negated_conjecture,
midp(esk25_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]) ).
cnf(c_0_89,negated_conjecture,
coll(esk24_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_65,c_0_84]) ).
cnf(c_0_90,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_91,negated_conjecture,
coll(esk25_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_86,c_0_79]) ).
fof(c_0_92,plain,
! [X141,X142,X143,X144] :
( ~ cong(X141,X142,X143,X144)
| cong(X143,X144,X141,X142) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_93,negated_conjecture,
cong(esk25_0,esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_94,negated_conjecture,
( coll(X1,esk25_0,esk24_0)
| ~ coll(esk24_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_89]) ).
cnf(c_0_95,negated_conjecture,
( perp(esk25_0,esk25_0,X1,esk21_0)
| ~ cong(esk25_0,X1,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_82]) ).
fof(c_0_96,plain,
! [X467,X468,X469,X470,X471,X472,X473] :
( ~ midp(X471,X467,X468)
| ~ midp(X472,X469,X470)
| ~ coll(X469,X467,X468)
| ~ coll(X470,X467,X468)
| midp(esk7_2(X467,X473),X467,X473) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX7])])])])]) ).
cnf(c_0_97,negated_conjecture,
coll(esk25_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_71,c_0_91]) ).
cnf(c_0_98,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_99,negated_conjecture,
cong(esk25_0,esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_52,c_0_93]) ).
cnf(c_0_100,negated_conjecture,
coll(esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_94,c_0_89]) ).
fof(c_0_101,plain,
! [X58,X59,X60,X61,X62,X63] :
( ~ para(X58,X59,X60,X61)
| ~ perp(X60,X61,X62,X63)
| perp(X58,X59,X62,X63) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).
cnf(c_0_102,negated_conjecture,
perp(esk25_0,esk25_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_95,c_0_93]) ).
fof(c_0_103,plain,
! [X369,X370,X371,X372,X373] :
( ~ midp(X373,X369,X370)
| ~ midp(X373,X371,X372)
| para(X369,X371,X370,X372) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
cnf(c_0_104,plain,
( midp(esk7_2(X2,X7),X2,X7)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6)
| ~ coll(X5,X2,X3)
| ~ coll(X6,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_105,negated_conjecture,
coll(esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_64,c_0_97]) ).
cnf(c_0_106,negated_conjecture,
cong(esk24_0,esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_107,negated_conjecture,
coll(esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_71,c_0_100]) ).
cnf(c_0_108,plain,
( perp(X1,X2,X5,X6)
| ~ para(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_109,negated_conjecture,
perp(esk24_0,esk21_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_50,c_0_102]) ).
cnf(c_0_110,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_111,negated_conjecture,
( midp(esk7_2(X1,X2),X1,X2)
| ~ midp(X3,X1,X4)
| ~ coll(esk21_0,X1,X4)
| ~ coll(esk22_0,X1,X4) ),
inference(spm,[status(thm)],[c_0_104,c_0_44]) ).
cnf(c_0_112,negated_conjecture,
coll(esk21_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_65,c_0_105]) ).
cnf(c_0_113,negated_conjecture,
coll(esk22_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_65,c_0_97]) ).
cnf(c_0_114,negated_conjecture,
cong(esk24_0,esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_52,c_0_106]) ).
cnf(c_0_115,negated_conjecture,
coll(esk24_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_65,c_0_107]) ).
cnf(c_0_116,negated_conjecture,
( perp(X1,X2,esk25_0,esk25_0)
| ~ para(X1,X2,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_117,negated_conjecture,
( para(X1,esk22_0,X2,esk21_0)
| ~ midp(esk25_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_44]) ).
cnf(c_0_118,negated_conjecture,
( midp(esk7_2(esk25_0,X1),esk25_0,X1)
| ~ midp(X2,esk25_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113])]) ).
cnf(c_0_119,negated_conjecture,
midp(esk24_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_114]),c_0_115])]) ).
cnf(c_0_120,negated_conjecture,
( perp(X1,esk22_0,esk25_0,esk25_0)
| ~ midp(esk25_0,X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_121,negated_conjecture,
midp(esk7_2(esk25_0,X1),esk25_0,X1),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,negated_conjecture,
perp(esk24_0,esk22_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_80]),c_0_88])]) ).
fof(c_0_123,plain,
! [X34,X35,X36,X37] :
( ~ para(X34,X35,X36,X37)
| para(X36,X37,X34,X35) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_124,negated_conjecture,
( para(X1,esk25_0,X2,X3)
| ~ midp(esk7_2(esk25_0,X3),X1,X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_121]) ).
cnf(c_0_125,negated_conjecture,
perp(esk25_0,esk25_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_50,c_0_122]) ).
cnf(c_0_126,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_127,negated_conjecture,
para(esk25_0,esk25_0,X1,X1),
inference(spm,[status(thm)],[c_0_124,c_0_121]) ).
cnf(c_0_128,negated_conjecture,
coll(esk26_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_71,c_0_84]) ).
fof(c_0_129,plain,
! [X101,X102,X103,X104,X105,X106,X107,X108] :
( ~ eqangle(X101,X102,X103,X104,X105,X106,X107,X108)
| eqangle(X103,X104,X101,X102,X107,X108,X105,X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_130,plain,
! [X255,X256,X257,X258,X259,X260] :
( ~ para(X255,X256,X257,X258)
| eqangle(X255,X256,X259,X260,X257,X258,X259,X260) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_131,negated_conjecture,
( perp(X1,X2,esk24_0,esk22_0)
| ~ para(X1,X2,esk25_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_108,c_0_125]) ).
cnf(c_0_132,negated_conjecture,
para(X1,X1,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_133,negated_conjecture,
( coll(X1,esk24_0,esk26_0)
| ~ coll(esk26_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_128]) ).
fof(c_0_134,plain,
! [X249,X250,X251,X252,X253,X254] :
( ~ eqangle(X249,X250,X253,X254,X251,X252,X253,X254)
| para(X249,X250,X251,X252) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_135,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_129]) ).
cnf(c_0_136,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_137,negated_conjecture,
perp(X1,X1,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_138,negated_conjecture,
coll(esk24_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_133,c_0_128]) ).
cnf(c_0_139,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_140,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_141,negated_conjecture,
( para(X1,X2,esk24_0,esk22_0)
| ~ perp(X1,X2,X3,X3) ),
inference(spm,[status(thm)],[c_0_48,c_0_137]) ).
cnf(c_0_142,negated_conjecture,
perp(esk24_0,esk22_0,X1,X1),
inference(spm,[status(thm)],[c_0_50,c_0_137]) ).
cnf(c_0_143,negated_conjecture,
coll(esk24_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_71,c_0_138]) ).
cnf(c_0_144,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_145,negated_conjecture,
para(esk24_0,esk22_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_146,negated_conjecture,
coll(esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_94,c_0_143]) ).
cnf(c_0_147,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_148,negated_conjecture,
coll(esk25_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_65,c_0_146]) ).
fof(c_0_149,plain,
! [X426,X427,X428,X429,X430,X431,X432,X433] :
( ~ eqratio(X426,X427,X428,X429,X430,X431,X432,X433)
| ~ cong(X430,X431,X432,X433)
| cong(X426,X427,X428,X429) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_150,plain,
! [X396,X397,X398,X399,X400,X401] :
( ~ midp(X400,X396,X397)
| ~ midp(X401,X398,X399)
| eqratio(X400,X396,X396,X397,X401,X398,X398,X399) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_151,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_147]),c_0_147])]) ).
cnf(c_0_152,negated_conjecture,
midp(esk25_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_93]),c_0_148])]) ).
fof(c_0_153,plain,
! [X384,X385,X386] :
( ~ para(X384,X385,X384,X386)
| coll(X384,X385,X386) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_154,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_149]) ).
cnf(c_0_155,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_150]) ).
cnf(c_0_156,negated_conjecture,
midp(esk25_0,X1,X1),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_157,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_158,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_154,c_0_155]) ).
cnf(c_0_159,negated_conjecture,
cong(esk25_0,X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_43,c_0_156]) ).
cnf(c_0_160,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_157,c_0_147]) ).
cnf(c_0_161,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_158,c_0_159]),c_0_156])]) ).
cnf(c_0_162,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_65,c_0_160]) ).
fof(c_0_163,plain,
! [X410,X411,X412,X413,X414,X415,X416,X417] :
( ~ eqangle(X410,X411,X412,X413,X414,X415,X416,X417)
| ~ para(X414,X415,X416,X417)
| para(X410,X411,X412,X413) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_164,plain,
! [X289,X290,X291] :
( ~ cong(X291,X289,X291,X290)
| eqangle(X291,X289,X289,X290,X289,X290,X291,X290) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_165,negated_conjecture,
cong(esk25_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_161,c_0_156]) ).
fof(c_0_166,plain,
! [X284,X285,X286,X287,X288] :
( ~ midp(X287,X284,X285)
| ~ para(X287,X288,X285,X286)
| ~ coll(X288,X284,X286)
| midp(X288,X284,X286) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_167,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_71,c_0_162]) ).
cnf(c_0_168,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_163]) ).
cnf(c_0_169,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_170,negated_conjecture,
cong(X1,X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_98,c_0_165]) ).
cnf(c_0_171,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_166]) ).
cnf(c_0_172,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_167]),c_0_167])]) ).
cnf(c_0_173,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_174,negated_conjecture,
cong(X1,X1,X1,esk25_0),
inference(spm,[status(thm)],[c_0_52,c_0_170]) ).
cnf(c_0_175,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_172])]) ).
cnf(c_0_176,negated_conjecture,
para(X1,X1,X1,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_147])]) ).
cnf(c_0_177,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_175,c_0_147]) ).
cnf(c_0_178,negated_conjecture,
( midp(X1,X2,esk25_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_179,negated_conjecture,
midp(X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_177,c_0_156]) ).
fof(c_0_180,plain,
! [X460,X461,X462,X463,X464,X465] :
( ( midp(esk6_6(X460,X461,X462,X463,X464,X465),X460,X463)
| ~ midp(X464,X460,X461)
| ~ midp(X465,X462,X463) )
& ( para(esk6_6(X460,X461,X462,X463,X464,X465),X464,X461,X463)
| ~ midp(X464,X460,X461)
| ~ midp(X465,X462,X463) )
& ( para(esk6_6(X460,X461,X462,X463,X464,X465),X465,X460,X462)
| ~ midp(X464,X460,X461)
| ~ midp(X465,X462,X463) ) ),
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_181,negated_conjecture,
midp(X1,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
fof(c_0_182,plain,
! [X30,X31,X32,X33] :
( ~ para(X30,X31,X32,X33)
| para(X30,X31,X33,X32) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_183,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_180]) ).
cnf(c_0_184,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_151,c_0_181]) ).
cnf(c_0_185,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_186,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_171,c_0_183]) ).
cnf(c_0_187,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_177,c_0_184]) ).
cnf(c_0_188,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_185,c_0_147]) ).
cnf(c_0_189,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_186,c_0_172])]) ).
cnf(c_0_190,negated_conjecture,
midp(X1,X2,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_187])]) ).
cnf(c_0_191,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_175,c_0_188]) ).
fof(c_0_192,plain,
! [X279,X280,X281,X282,X283] :
( ~ midp(X282,X279,X280)
| ~ midp(X283,X279,X281)
| para(X282,X283,X280,X281) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_193,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X4,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_190])]) ).
cnf(c_0_194,negated_conjecture,
midp(esk25_0,X1,X2),
inference(spm,[status(thm)],[c_0_191,c_0_190]) ).
fof(c_0_195,plain,
! [X109,X110,X111,X112,X113,X114,X115,X116] :
( ~ eqangle(X109,X110,X111,X112,X113,X114,X115,X116)
| eqangle(X113,X114,X115,X116,X109,X110,X111,X112) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
cnf(c_0_196,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_197,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_198,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_195]) ).
fof(c_0_199,plain,
! [X117,X118,X119,X120,X121,X122,X123,X124] :
( ~ eqangle(X117,X118,X119,X120,X121,X122,X123,X124)
| eqangle(X117,X118,X121,X122,X119,X120,X123,X124) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_200,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_197]),c_0_197])]) ).
cnf(c_0_201,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X5,X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_198,c_0_136]) ).
fof(c_0_202,plain,
! [X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136] :
( ~ eqangle(X125,X126,X127,X128,X129,X130,X131,X132)
| ~ eqangle(X129,X130,X131,X132,X133,X134,X135,X136)
| eqangle(X125,X126,X127,X128,X133,X134,X135,X136) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_203,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_199]) ).
cnf(c_0_204,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_200])]) ).
cnf(c_0_205,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_200])]) ).
cnf(c_0_206,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_202]) ).
cnf(c_0_207,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_208,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_203,c_0_205]) ).
cnf(c_0_209,negated_conjecture,
~ eqangle(esk21_0,esk23_0,esk23_0,esk26_0,esk26_0,esk23_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_210,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208])]) ).
cnf(c_0_211,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_210])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO597+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 : n021.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 07:21:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.56/2.34 # ENIGMATIC: Solved by autoschedule:
% 7.56/2.34 # No SInE strategy applied
% 7.56/2.34 # Trying AutoSched0 for 150 seconds
% 7.56/2.34 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.56/2.34 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.56/2.34 #
% 7.56/2.34 # Preprocessing time : 0.025 s
% 7.56/2.34 # Presaturation interreduction done
% 7.56/2.34
% 7.56/2.34 # Proof found!
% 7.56/2.34 # SZS status Theorem
% 7.56/2.34 # SZS output start CNFRefutation
% See solution above
% 7.56/2.35 # Training examples: 0 positive, 0 negative
% 7.56/2.35
% 7.56/2.35 # -------------------------------------------------
% 7.56/2.35 # User time : 0.175 s
% 7.56/2.35 # System time : 0.009 s
% 7.56/2.35 # Total time : 0.184 s
% 7.56/2.35 # Maximum resident set size: 7120 pages
% 7.56/2.35
%------------------------------------------------------------------------------