TSTP Solution File: GEO599+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO599+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:35:21 EDT 2023
% Result : Theorem 24.74s 3.74s
% Output : CNFRefutation 24.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 28
% Syntax : Number of formulae : 142 ( 44 unt; 0 def)
% Number of atoms : 550 ( 0 equ)
% Maximal formula atoms : 224 ( 3 avg)
% Number of connectives : 699 ( 291 ~; 303 |; 75 &)
% ( 1 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 507 ( 45 sgn; 289 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL618061,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
( ( circle(X4,X1,X2,X3)
& midp(X5,X2,X1)
& coll(X6,X4,X5)
& circle(X6,X1,X19,X20)
& coll(X13,X2,X3)
& circle(X6,X1,X13,X21) )
=> ( eqangle(X4,X1,X1,X6,X3,X1,X1,X13)
& ( eqangle(X1,X4,X4,X6,X1,X3,X3,X13)
| eqangle(X4,X1,X1,X6,X3,X1,X1,X13) )
& ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
| eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
& ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
| eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
& ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
| eqangle(X4,X1,X1,X6,X1,X13,X13,X3) )
& ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
| eqangle(X4,X1,X1,X6,X1,X13,X13,X3) )
& eqangle(X1,X4,X4,X6,X1,X3,X3,X13) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',exemplo6GDDFULL618061) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD63) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD11) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD69) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD3) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD68) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD4) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleX11) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD23) ).
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/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD40) ).
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/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD9) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD8) ).
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/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD25) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD1) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',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/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD19) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD2) ).
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/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD39) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD64) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',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/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD56) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD44) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD7) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD5) ).
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/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD10) ).
fof(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD21) ).
fof(ruleD22,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
=> eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
file('/export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p',ruleD22) ).
fof(c_0_27,plain,
! [X1,X4,X13,X6,X3] :
( epred1_5(X3,X13,X6,X4,X1)
<=> ( eqangle(X4,X1,X1,X6,X3,X1,X1,X13)
& ( eqangle(X1,X4,X4,X6,X1,X3,X3,X13)
| eqangle(X4,X1,X1,X6,X3,X1,X1,X13) )
& ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
| eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
& ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
| eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
& ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
| eqangle(X4,X1,X1,X6,X1,X13,X13,X3) )
& ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
| eqangle(X4,X1,X1,X6,X1,X13,X13,X3) ) ) ),
introduced(definition) ).
fof(c_0_28,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
( ( circle(X4,X1,X2,X3)
& midp(X5,X2,X1)
& coll(X6,X4,X5)
& circle(X6,X1,X19,X20)
& coll(X13,X2,X3)
& circle(X6,X1,X13,X21) )
=> ( epred1_5(X3,X13,X6,X4,X1)
& eqangle(X1,X4,X4,X6,X1,X3,X3,X13) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[exemplo6GDDFULL618061]),c_0_27]) ).
fof(c_0_29,plain,
! [X371,X372,X373,X374,X375] :
( ~ midp(X375,X371,X372)
| ~ midp(X375,X373,X374)
| para(X371,X373,X372,X374) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_30,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(esk26_0,esk21_0,esk28_0,esk29_0)
& coll(esk27_0,esk22_0,esk23_0)
& circle(esk26_0,esk21_0,esk27_0,esk30_0)
& ( ~ epred1_5(esk23_0,esk27_0,esk26_0,esk24_0,esk21_0)
| ~ eqangle(esk21_0,esk24_0,esk24_0,esk26_0,esk21_0,esk23_0,esk23_0,esk27_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_31,plain,
! [X66,X67,X68] :
( ~ midp(X68,X67,X66)
| midp(X68,X66,X67) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_32,plain,
! [X395,X396,X397] :
( ~ midp(X395,X396,X397)
| coll(X395,X396,X397) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
cnf(c_0_33,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
midp(esk25_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_36,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_37,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_38,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_39,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_40,negated_conjecture,
( para(X1,esk22_0,X2,esk21_0)
| ~ midp(esk25_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,negated_conjecture,
midp(esk25_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
fof(c_0_42,plain,
! [X496,X497,X498,X499] :
( ~ circle(X499,X496,X497,X498)
| perp(esk12_4(X496,X497,X498,X499),X496,X496,X499) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
cnf(c_0_43,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,negated_conjecture,
coll(esk25_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_37,c_0_34]) ).
fof(c_0_45,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_46,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_47,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])]) ).
cnf(c_0_48,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,negated_conjecture,
para(esk21_0,esk22_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_50,plain,
! [X54,X55,X56,X57,X58,X59] :
( ~ perp(X54,X55,X56,X57)
| ~ perp(X56,X57,X58,X59)
| para(X54,X55,X58,X59) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_51,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,negated_conjecture,
circle(esk26_0,esk21_0,esk28_0,esk29_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_53,plain,
! [X50,X51,X52,X53] :
( ~ perp(X50,X51,X52,X53)
| perp(X52,X53,X50,X51) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_54,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])]) ).
fof(c_0_55,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_56,negated_conjecture,
( coll(X1,esk21_0,esk25_0)
| ~ coll(esk25_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_57,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_58,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_59,negated_conjecture,
cong(esk25_0,esk22_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_46,c_0_34]) ).
fof(c_0_60,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])]) ).
cnf(c_0_61,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_62,negated_conjecture,
para(esk21_0,esk22_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_63,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_64,negated_conjecture,
perp(esk12_4(esk21_0,esk28_0,esk29_0,esk26_0),esk21_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_65,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_66,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_67,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_68,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_69,negated_conjecture,
coll(esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_56,c_0_44]) ).
cnf(c_0_70,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_71,negated_conjecture,
cong(esk25_0,esk22_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_72,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_73,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_60]) ).
cnf(c_0_74,negated_conjecture,
eqangle(esk21_0,esk22_0,X1,X2,esk21_0,esk22_0,X1,X2),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_75,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_76,negated_conjecture,
( para(X1,X2,esk21_0,esk26_0)
| ~ perp(X1,X2,esk12_4(esk21_0,esk28_0,esk29_0,esk26_0),esk21_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_77,negated_conjecture,
perp(esk21_0,esk26_0,esk12_4(esk21_0,esk28_0,esk29_0,esk26_0),esk21_0),
inference(spm,[status(thm)],[c_0_65,c_0_64]) ).
fof(c_0_78,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_79,negated_conjecture,
( cong(X1,X2,esk25_0,esk21_0)
| ~ cong(X1,X2,esk25_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_66,c_0_59]) ).
cnf(c_0_80,negated_conjecture,
cong(esk25_0,esk21_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_46,c_0_41]) ).
cnf(c_0_81,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_82,negated_conjecture,
coll(esk21_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
fof(c_0_83,plain,
! [X333,X334,X335,X336] :
( ~ cong(X333,X335,X334,X335)
| ~ cong(X333,X336,X334,X336)
| perp(X333,X334,X335,X336) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_84,negated_conjecture,
cong(esk21_0,esk25_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_85,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_86,negated_conjecture,
eqangle(X1,X2,esk21_0,esk22_0,X1,X2,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_87,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_75]) ).
cnf(c_0_88,negated_conjecture,
para(esk21_0,esk26_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_89,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_90,negated_conjecture,
cong(esk25_0,esk21_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_91,negated_conjecture,
coll(esk25_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_92,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_93,negated_conjecture,
cong(esk21_0,esk25_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_58,c_0_84]) ).
cnf(c_0_94,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_95,negated_conjecture,
( midp(X1,esk26_0,esk26_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_88])]) ).
cnf(c_0_96,negated_conjecture,
midp(esk25_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91])]) ).
fof(c_0_97,plain,
! [X281,X282,X283,X284,X285] :
( ~ midp(X284,X281,X282)
| ~ midp(X285,X281,X283)
| para(X284,X285,X282,X283) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_98,negated_conjecture,
( perp(esk21_0,esk22_0,X1,esk25_0)
| ~ cong(esk21_0,X1,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_99,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_94]),c_0_94])]) ).
cnf(c_0_100,negated_conjecture,
midp(esk25_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_102,negated_conjecture,
( midp(X1,esk22_0,esk22_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_62]),c_0_62])]) ).
fof(c_0_103,plain,
! [X46,X47,X48,X49] :
( ~ perp(X46,X47,X48,X49)
| perp(X46,X47,X49,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_104,negated_conjecture,
perp(esk21_0,esk22_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_98,c_0_93]) ).
cnf(c_0_105,negated_conjecture,
midp(esk25_0,X1,X1),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
fof(c_0_106,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])]) ).
cnf(c_0_107,negated_conjecture,
( para(X1,esk25_0,X2,esk21_0)
| ~ midp(X1,esk22_0,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_34]) ).
cnf(c_0_108,negated_conjecture,
midp(esk25_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_102,c_0_96]) ).
cnf(c_0_109,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_110,negated_conjecture,
perp(esk25_0,esk25_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_65,c_0_104]) ).
cnf(c_0_111,negated_conjecture,
cong(esk25_0,X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_46,c_0_105]) ).
fof(c_0_112,plain,
! [X60,X61,X62,X63,X64,X65] :
( ~ para(X60,X61,X62,X63)
| ~ perp(X62,X63,X64,X65)
| perp(X60,X61,X64,X65) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).
cnf(c_0_113,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_114,negated_conjecture,
para(esk25_0,esk25_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_115,negated_conjecture,
perp(esk25_0,esk25_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_116,negated_conjecture,
perp(esk25_0,esk25_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_111]),c_0_111])]) ).
cnf(c_0_117,plain,
( perp(X1,X2,X5,X6)
| ~ para(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_118,negated_conjecture,
para(esk22_0,esk21_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_119,negated_conjecture,
( para(X1,X2,esk22_0,esk21_0)
| ~ perp(X1,X2,esk25_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_115]) ).
cnf(c_0_120,negated_conjecture,
perp(X1,X2,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_65,c_0_116]) ).
cnf(c_0_121,negated_conjecture,
( perp(esk22_0,esk21_0,X1,X2)
| ~ perp(esk25_0,esk25_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,negated_conjecture,
para(X1,X2,esk22_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120])]) ).
cnf(c_0_123,negated_conjecture,
perp(esk22_0,esk21_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_116])]) ).
cnf(c_0_124,negated_conjecture,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_122]),c_0_123])]) ).
cnf(c_0_125,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_124]),c_0_124])]) ).
fof(c_0_126,plain,
! [X1,X4,X13,X6,X3] :
( ( eqangle(X4,X1,X1,X6,X3,X1,X1,X13)
& ( eqangle(X1,X4,X4,X6,X1,X3,X3,X13)
| eqangle(X4,X1,X1,X6,X3,X1,X1,X13) )
& ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
| eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
& ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
| eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
& ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
| eqangle(X4,X1,X1,X6,X1,X13,X13,X3) )
& ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
| eqangle(X4,X1,X1,X6,X1,X13,X13,X3) ) )
=> epred1_5(X3,X13,X6,X4,X1) ),
inference(split_equiv,[status(thm)],[c_0_27]) ).
fof(c_0_127,plain,
! [X119,X120,X121,X122,X123,X124,X125,X126] :
( ~ eqangle(X119,X120,X121,X122,X123,X124,X125,X126)
| eqangle(X119,X120,X123,X124,X121,X122,X125,X126) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_128,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_125])]) ).
fof(c_0_129,plain,
! [X553,X554,X555,X556,X557] :
( ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) )
& ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| epred1_5(X557,X555,X556,X554,X553) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_126])])]) ).
fof(c_0_130,plain,
! [X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138] :
( ~ eqangle(X127,X128,X129,X130,X131,X132,X133,X134)
| ~ eqangle(X131,X132,X133,X134,X135,X136,X137,X138)
| eqangle(X127,X128,X129,X130,X135,X136,X137,X138) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_131,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_127]) ).
cnf(c_0_132,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(spm,[status(thm)],[c_0_73,c_0_128]) ).
cnf(c_0_133,plain,
( epred1_5(X4,X5,X3,X2,X1)
| ~ eqangle(X1,X2,X2,X3,X4,X1,X1,X5)
| ~ eqangle(X1,X2,X2,X3,X1,X5,X5,X4)
| ~ eqangle(X1,X2,X2,X3,X4,X1,X1,X5)
| ~ eqangle(X1,X2,X2,X3,X1,X5,X5,X4)
| ~ eqangle(X2,X1,X1,X3,X4,X1,X1,X5)
| ~ eqangle(X2,X1,X1,X3,X4,X1,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_134,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_130]) ).
cnf(c_0_135,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_136,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_131,c_0_128]) ).
cnf(c_0_137,plain,
( epred1_5(X4,X5,X3,X2,X1)
| ~ eqangle(X2,X1,X1,X3,X4,X1,X1,X5)
| ~ eqangle(X1,X2,X2,X3,X4,X1,X1,X5)
| ~ eqangle(X1,X2,X2,X3,X1,X5,X5,X4) ),
inference(cn,[status(thm)],[c_0_133]) ).
cnf(c_0_138,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136])]) ).
cnf(c_0_139,negated_conjecture,
( ~ epred1_5(esk23_0,esk27_0,esk26_0,esk24_0,esk21_0)
| ~ eqangle(esk21_0,esk24_0,esk24_0,esk26_0,esk21_0,esk23_0,esk23_0,esk27_0) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_140,plain,
epred1_5(X1,X2,X3,X4,X5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_138]),c_0_138]),c_0_138])]) ).
cnf(c_0_141,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_138])]),c_0_140])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO599+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Oct 3 06:29:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.51 Running first-order model finding
% 0.21/0.51 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.kGt7qeaQZa/E---3.1_28302.p
% 24.74/3.74 # Version: 3.1pre001
% 24.74/3.74 # Preprocessing class: FSLSSMSSSSSNFFN.
% 24.74/3.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.74/3.74 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 24.74/3.74 # Starting new_bool_3 with 300s (1) cores
% 24.74/3.74 # Starting new_bool_1 with 300s (1) cores
% 24.74/3.74 # Starting sh5l with 300s (1) cores
% 24.74/3.74 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 28379 completed with status 0
% 24.74/3.74 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 24.74/3.74 # Preprocessing class: FSLSSMSSSSSNFFN.
% 24.74/3.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.74/3.74 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 24.74/3.74 # No SInE strategy applied
% 24.74/3.74 # Search class: FGHSF-FSLM33-SFFFFFNN
% 24.74/3.74 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 24.74/3.74 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 24.74/3.74 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 24.74/3.74 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 24.74/3.74 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 24.74/3.74 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 24.74/3.74 # G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 28390 completed with status 0
% 24.74/3.74 # Result found by G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S
% 24.74/3.74 # Preprocessing class: FSLSSMSSSSSNFFN.
% 24.74/3.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.74/3.74 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 24.74/3.74 # No SInE strategy applied
% 24.74/3.74 # Search class: FGHSF-FSLM33-SFFFFFNN
% 24.74/3.74 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 24.74/3.74 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 24.74/3.74 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 24.74/3.74 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 24.74/3.74 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 24.74/3.74 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 24.74/3.74 # Preprocessing time : 0.003 s
% 24.74/3.74 # Presaturation interreduction done
% 24.74/3.74
% 24.74/3.74 # Proof found!
% 24.74/3.74 # SZS status Theorem
% 24.74/3.74 # SZS output start CNFRefutation
% See solution above
% 24.74/3.74 # Parsed axioms : 95
% 24.74/3.74 # Removed by relevancy pruning/SinE : 0
% 24.74/3.74 # Initial clauses : 152
% 24.74/3.74 # Removed in clause preprocessing : 0
% 24.74/3.74 # Initial clauses in saturation : 152
% 24.74/3.74 # Processed clauses : 18413
% 24.74/3.74 # ...of these trivial : 4528
% 24.74/3.74 # ...subsumed : 72
% 24.74/3.74 # ...remaining for further processing : 13812
% 24.74/3.74 # Other redundant clauses eliminated : 0
% 24.74/3.74 # Clauses deleted for lack of memory : 0
% 24.74/3.74 # Backward-subsumed : 109
% 24.74/3.74 # Backward-rewritten : 13525
% 24.74/3.74 # Generated clauses : 183088
% 24.74/3.74 # ...of the previous two non-redundant : 150848
% 24.74/3.74 # ...aggressively subsumed : 0
% 24.74/3.74 # Contextual simplify-reflections : 6
% 24.74/3.74 # Paramodulations : 183088
% 24.74/3.74 # Factorizations : 0
% 24.74/3.74 # NegExts : 0
% 24.74/3.74 # Equation resolutions : 0
% 24.74/3.74 # Total rewrite steps : 63581
% 24.74/3.74 # Propositional unsat checks : 0
% 24.74/3.74 # Propositional check models : 0
% 24.74/3.74 # Propositional check unsatisfiable : 0
% 24.74/3.74 # Propositional clauses : 0
% 24.74/3.74 # Propositional clauses after purity: 0
% 24.74/3.74 # Propositional unsat core size : 0
% 24.74/3.74 # Propositional preprocessing time : 0.000
% 24.74/3.74 # Propositional encoding time : 0.000
% 24.74/3.74 # Propositional solver time : 0.000
% 24.74/3.74 # Success case prop preproc time : 0.000
% 24.74/3.74 # Success case prop encoding time : 0.000
% 24.74/3.74 # Success case prop solver time : 0.000
% 24.74/3.74 # Current number of processed clauses : 57
% 24.74/3.74 # Positive orientable unit clauses : 29
% 24.74/3.74 # Positive unorientable unit clauses: 0
% 24.74/3.74 # Negative unit clauses : 0
% 24.74/3.74 # Non-unit-clauses : 28
% 24.74/3.74 # Current number of unprocessed clauses: 124294
% 24.74/3.74 # ...number of literals in the above : 256790
% 24.74/3.74 # Current number of archived formulas : 0
% 24.74/3.74 # Current number of archived clauses : 13755
% 24.74/3.74 # Clause-clause subsumption calls (NU) : 341071
% 24.74/3.74 # Rec. Clause-clause subsumption calls : 252893
% 24.74/3.74 # Non-unit clause-clause subsumptions : 187
% 24.74/3.74 # Unit Clause-clause subsumption calls : 1355573
% 24.74/3.74 # Rewrite failures with RHS unbound : 0
% 24.74/3.74 # BW rewrite match attempts : 222255
% 24.74/3.74 # BW rewrite match successes : 12322
% 24.74/3.74 # Condensation attempts : 0
% 24.74/3.74 # Condensation successes : 0
% 24.74/3.74 # Termbank termtop insertions : 2952059
% 24.74/3.74
% 24.74/3.74 # -------------------------------------------------
% 24.74/3.74 # User time : 3.026 s
% 24.74/3.74 # System time : 0.116 s
% 24.74/3.74 # Total time : 3.142 s
% 24.74/3.74 # Maximum resident set size: 2620 pages
% 24.74/3.74
% 24.74/3.74 # -------------------------------------------------
% 24.74/3.74 # User time : 14.777 s
% 24.74/3.74 # System time : 0.415 s
% 24.74/3.74 # Total time : 15.192 s
% 24.74/3.74 # Maximum resident set size: 1872 pages
% 24.74/3.74 % E---3.1 exiting
%------------------------------------------------------------------------------