%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO599+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:28:33 PM UTC 2026
% Result : Theorem 2.80s 0.84s
% Output : CNFRefutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 25
% Syntax : Number of formulae : 136 ( 43 unt; 0 def)
% Number of atoms : 550 ( 0 equ)
% Maximal formula atoms : 224 ( 4 avg)
% Number of connectives : 700 ( 286 ~; 302 |; 84 &)
% ( 1 <=>; 27 =>; 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 : 484 ( 43 sgn 271 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL618061,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
( ( circle(X6,X1,X13,X21)
& coll(X13,X2,X3)
& circle(X6,X1,X19,X20)
& coll(X6,X4,X5)
& midp(X5,X2,X1)
& circle(X4,X1,X2,X3) )
=> ( eqangle(X1,X4,X4,X6,X1,X3,X3,X13)
& ( 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,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,X3,X1,X1,X13)
| eqangle(X1,X4,X4,X6,X1,X3,X3,X13) )
& eqangle(X4,X1,X1,X6,X3,X1,X1,X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618061) ).
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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
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(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X3,X4,X5,X6)
& perp(X1,X2,X3,X4) )
=> 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(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X4)
& coll(X1,X2,X3) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
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(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(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(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X3,X4,X5,X6)
& cong(X1,X2,X3,X4) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(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] :
( ( para(X1,X4,X2,X3)
& para(X1,X3,X2,X4)
& midp(X7,X1,X2) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
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(ruleD67,axiom,
! [X1,X2,X3] :
( ( coll(X1,X2,X3)
& cong(X1,X2,X1,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X10,X2,X10)
& cong(X1,X9,X2,X9) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
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(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(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(ruleD6,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X3,X4,X5,X6)
& para(X1,X2,X3,X4) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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(X9,X10,X11,X12,X5,X6,X13,X14)
& eqangle(X1,X2,X3,X4,X9,X10,X11,X12) )
=> eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(c_0_24,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
( ( circle(X6,X1,X13,X21)
& coll(X13,X2,X3)
& circle(X6,X1,X19,X20)
& coll(X6,X4,X5)
& midp(X5,X2,X1)
& circle(X4,X1,X2,X3) )
=> ( eqangle(X1,X4,X4,X6,X1,X3,X3,X13)
& ( 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,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,X3,X1,X1,X13)
| eqangle(X1,X4,X4,X6,X1,X3,X3,X13) )
& eqangle(X4,X1,X1,X6,X3,X1,X1,X13) ) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618061]) ).
fof(c_0_25,plain,
! [X1,X4,X13,X6,X3] :
( epred1_5(X3,X13,X6,X4,X1)
<=> ( ( 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,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,X3,X1,X1,X13)
| eqangle(X1,X4,X4,X6,X1,X3,X3,X13) )
& eqangle(X4,X1,X1,X6,X3,X1,X1,X13) ) ),
introduced(definition) ).
fof(c_0_26,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
( ( circle(X6,X1,X13,X21)
& coll(X13,X2,X3)
& circle(X6,X1,X19,X20)
& coll(X6,X4,X5)
& midp(X5,X2,X1)
& circle(X4,X1,X2,X3) )
=> ( eqangle(X1,X4,X4,X6,X1,X3,X3,X13)
& epred1_5(X3,X13,X6,X4,X1) ) ),
inference(apply_def,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_27,plain,
! [X395,X396,X397] :
( coll(X395,X396,X397)
| ~ midp(X395,X396,X397) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).
fof(c_0_28,negated_conjecture,
( ( ~ eqangle(esk21_0,esk24_0,esk24_0,esk26_0,esk21_0,esk23_0,esk23_0,esk27_0)
| ~ epred1_5(esk23_0,esk27_0,esk26_0,esk24_0,esk21_0) )
& circle(esk26_0,esk21_0,esk27_0,esk30_0)
& coll(esk27_0,esk22_0,esk23_0)
& circle(esk26_0,esk21_0,esk28_0,esk29_0)
& coll(esk26_0,esk24_0,esk25_0)
& midp(esk25_0,esk22_0,esk21_0)
& circle(esk24_0,esk21_0,esk22_0,esk23_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_29,plain,
! [X25,X26,X27] :
( coll(X26,X25,X27)
| ~ coll(X25,X26,X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
fof(c_0_30,plain,
! [X66,X67,X68] :
( midp(X68,X66,X67)
| ~ midp(X68,X67,X66) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
fof(c_0_31,plain,
! [X54,X55,X56,X57,X58,X59] :
( para(X54,X55,X58,X59)
| ~ perp(X56,X57,X58,X59)
| ~ perp(X54,X55,X56,X57) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
fof(c_0_32,plain,
! [X496,X497,X498,X499] :
( perp(esk12_4(X496,X497,X498,X499),X496,X496,X499)
| ~ circle(X499,X496,X497,X498) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])])]) ).
fof(c_0_33,plain,
! [X50,X51,X52,X53] :
( perp(X52,X53,X50,X51)
| ~ perp(X50,X51,X52,X53) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
fof(c_0_34,plain,
! [X28,X29,X30,X31] :
( coll(X30,X31,X28)
| ~ coll(X28,X29,X31)
| ~ coll(X28,X29,X30) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_35,plain,
( ~ midp(X1,X2,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,negated_conjecture,
midp(esk25_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_37,plain,
! [X22,X23,X24] :
( coll(X22,X24,X23)
| ~ coll(X22,X23,X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_38,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,negated_conjecture,
coll(esk26_0,esk24_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_40,plain,
! [X392,X393,X394] :
( cong(X392,X393,X392,X394)
| ~ midp(X392,X393,X394) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_41,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,plain,
( ~ perp(X3,X4,X5,X6)
| ~ perp(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,plain,
( ~ circle(X1,X2,X3,X4)
| perp(esk12_4(X2,X3,X4,X1),X2,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_45,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,negated_conjecture,
coll(esk25_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_47,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_48,negated_conjecture,
coll(esk24_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_49,plain,
! [X139,X140,X141,X142] :
( cong(X139,X140,X142,X141)
| ~ cong(X139,X140,X141,X142) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).
cnf(c_0_50,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_51,negated_conjecture,
midp(esk25_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_41,c_0_36]) ).
cnf(c_0_52,plain,
( ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3)
| ~ circle(X4,X3,X5,X6)
| para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_53,plain,
( ~ circle(X2,X1,X3,X4)
| perp(X1,X2,esk12_4(X1,X3,X4,X2),X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_43]) ).
fof(c_0_54,plain,
! [X147,X148,X149,X150,X151,X152] :
( cong(X147,X148,X151,X152)
| ~ cong(X149,X150,X151,X152)
| ~ cong(X147,X148,X149,X150) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).
cnf(c_0_55,negated_conjecture,
( ~ coll(esk25_0,esk22_0,X1)
| coll(X1,esk21_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_56,negated_conjecture,
coll(esk24_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_57,plain,
! [X143,X144,X145,X146] :
( cong(X145,X146,X143,X144)
| ~ cong(X143,X144,X145,X146) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).
cnf(c_0_58,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_59,negated_conjecture,
cong(esk25_0,esk21_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_60,plain,
! [X257,X258,X259,X260,X261,X262] :
( eqangle(X257,X258,X261,X262,X259,X260,X261,X262)
| ~ para(X257,X258,X259,X260) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
cnf(c_0_61,plain,
( ~ circle(X2,X1,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_62,negated_conjecture,
circle(esk26_0,esk21_0,esk28_0,esk29_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_63,plain,
! [X376,X377,X378,X379,X380] :
( midp(X380,X378,X379)
| ~ para(X376,X379,X377,X378)
| ~ para(X376,X378,X377,X379)
| ~ midp(X380,X376,X377) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_64,plain,
( ~ cong(X3,X4,X5,X6)
| ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_65,negated_conjecture,
cong(esk25_0,esk22_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_50,c_0_36]) ).
cnf(c_0_66,negated_conjecture,
coll(esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_55,c_0_46]) ).
cnf(c_0_67,negated_conjecture,
coll(esk25_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_38,c_0_56]) ).
cnf(c_0_68,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_69,negated_conjecture,
cong(esk25_0,esk21_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_70,plain,
! [X103,X104,X105,X106,X107,X108,X109,X110] :
( eqangle(X105,X106,X103,X104,X109,X110,X107,X108)
| ~ eqangle(X103,X104,X105,X106,X107,X108,X109,X110) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
cnf(c_0_71,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_72,negated_conjecture,
para(esk21_0,esk26_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_73,plain,
( ~ para(X2,X5,X3,X4)
| ~ para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_74,plain,
! [X389,X390,X391] :
( midp(X389,X390,X391)
| ~ coll(X389,X390,X391)
| ~ cong(X389,X390,X389,X391) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).
cnf(c_0_75,negated_conjecture,
( ~ cong(X1,X2,esk25_0,esk22_0)
| cong(X1,X2,esk25_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_76,negated_conjecture,
coll(esk21_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_47,c_0_66]) ).
cnf(c_0_77,negated_conjecture,
( ~ coll(esk25_0,esk24_0,X1)
| coll(X1,esk26_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_67]) ).
fof(c_0_78,plain,
! [X333,X334,X335,X336] :
( perp(X333,X334,X335,X336)
| ~ cong(X333,X336,X334,X336)
| ~ cong(X333,X335,X334,X335) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])])]) ).
cnf(c_0_79,negated_conjecture,
cong(esk22_0,esk25_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
fof(c_0_80,plain,
! [X251,X252,X253,X254,X255,X256] :
( para(X251,X252,X253,X254)
| ~ eqangle(X251,X252,X255,X256,X253,X254,X255,X256) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_81,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_82,negated_conjecture,
eqangle(esk21_0,esk26_0,X1,X2,esk21_0,esk26_0,X1,X2),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_83,negated_conjecture,
( ~ midp(X1,esk21_0,esk21_0)
| midp(X1,esk26_0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_72]),c_0_72])]) ).
cnf(c_0_84,plain,
( ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_85,negated_conjecture,
cong(esk25_0,esk21_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_75,c_0_59]) ).
cnf(c_0_86,negated_conjecture,
coll(esk25_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_38,c_0_76]) ).
cnf(c_0_87,negated_conjecture,
coll(esk26_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_77,c_0_67]) ).
cnf(c_0_88,plain,
( ~ cong(X1,X4,X3,X4)
| ~ cong(X1,X2,X3,X2)
| perp(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_89,negated_conjecture,
cong(esk22_0,esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_58,c_0_79]) ).
cnf(c_0_90,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_91,negated_conjecture,
eqangle(X1,X2,esk21_0,esk26_0,X1,X2,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_92,negated_conjecture,
( ~ midp(X1,esk21_0,esk21_0)
| cong(X1,esk26_0,X1,esk26_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_83]) ).
cnf(c_0_93,negated_conjecture,
midp(esk25_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).
cnf(c_0_94,negated_conjecture,
coll(esk26_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_47,c_0_87]) ).
cnf(c_0_95,negated_conjecture,
( ~ cong(esk22_0,X1,esk21_0,X1)
| perp(esk22_0,esk21_0,X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_96,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_97,negated_conjecture,
cong(esk25_0,esk26_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_98,negated_conjecture,
coll(esk25_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_38,c_0_94]) ).
cnf(c_0_99,negated_conjecture,
perp(esk22_0,esk21_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_95,c_0_89]) ).
cnf(c_0_100,negated_conjecture,
( ~ midp(X1,X3,X3)
| midp(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_96]),c_0_96])]) ).
cnf(c_0_101,negated_conjecture,
midp(esk25_0,esk26_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_97]),c_0_98])]) ).
fof(c_0_102,plain,
! [X36,X37,X38,X39] :
( para(X38,X39,X36,X37)
| ~ para(X36,X37,X38,X39) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
cnf(c_0_103,negated_conjecture,
perp(esk25_0,esk25_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_44,c_0_99]) ).
cnf(c_0_104,negated_conjecture,
midp(esk25_0,X1,X1),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
fof(c_0_105,plain,
! [X32,X33,X34,X35] :
( para(X32,X33,X35,X34)
| ~ para(X32,X33,X34,X35) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
cnf(c_0_106,plain,
( ~ para(X1,X2,X3,X4)
| para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_107,negated_conjecture,
( ~ perp(X1,X2,esk25_0,esk25_0)
| para(X1,X2,esk22_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_103]) ).
cnf(c_0_108,negated_conjecture,
cong(esk25_0,X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_50,c_0_104]) ).
cnf(c_0_109,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_110,negated_conjecture,
( ~ perp(X1,X2,esk25_0,esk25_0)
| para(esk22_0,esk21_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,negated_conjecture,
perp(esk25_0,esk25_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_108]),c_0_108])]) ).
cnf(c_0_112,negated_conjecture,
( ~ perp(X2,X1,esk25_0,esk25_0)
| para(esk22_0,esk21_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
fof(c_0_113,plain,
! [X40,X41,X42,X43,X44,X45] :
( para(X40,X41,X44,X45)
| ~ para(X42,X43,X44,X45)
| ~ para(X40,X41,X42,X43) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])])]) ).
cnf(c_0_114,negated_conjecture,
perp(X1,X2,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_44,c_0_111]) ).
cnf(c_0_115,negated_conjecture,
( ~ perp(X2,X1,esk25_0,esk25_0)
| para(X1,X2,esk22_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_112]) ).
cnf(c_0_116,plain,
( ~ para(X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_117,negated_conjecture,
para(esk22_0,esk21_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_114])]) ).
cnf(c_0_118,negated_conjecture,
para(X1,X2,esk22_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_114])]) ).
cnf(c_0_119,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118])]) ).
fof(c_0_120,plain,
! [X1,X4,X13,X6,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,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,X3,X1,X1,X13)
| eqangle(X1,X4,X4,X6,X1,X3,X3,X13) )
& eqangle(X4,X1,X1,X6,X3,X1,X1,X13) )
=> epred1_5(X3,X13,X6,X4,X1) ),
inference(split_equiv,[status(thm)],[c_0_25]) ).
fof(c_0_121,plain,
! [X119,X120,X121,X122,X123,X124,X125,X126] :
( eqangle(X119,X120,X123,X124,X121,X122,X125,X126)
| ~ eqangle(X119,X120,X121,X122,X123,X124,X125,X126) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])])]) ).
cnf(c_0_122,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_119])]) ).
fof(c_0_123,plain,
! [X553,X554,X555,X556,X557] :
( ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ 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) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ 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) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,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,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,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,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,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,X553,X555,X555,X557) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,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,X557,X553,X553,X555) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,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,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,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,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,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,X553,X555,X555,X557) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,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,X557,X553,X553,X555) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ 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) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
| ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
| ~ 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) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,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,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,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,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,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,X553,X555,X555,X557) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,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,X557,X553,X553,X555) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,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,X555,X555,X557)
| ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,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,X555,X555,X557)
| ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,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,X553,X555,X555,X557) )
& ( epred1_5(X557,X555,X556,X554,X553)
| ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
| ~ eqangle(X553,X554,X554,X556,X553,X557,X557,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,X557,X553,X553,X555) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_120])])])]) ).
fof(c_0_124,plain,
! [X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138] :
( eqangle(X127,X128,X129,X130,X135,X136,X137,X138)
| ~ eqangle(X131,X132,X133,X134,X135,X136,X137,X138)
| ~ eqangle(X127,X128,X129,X130,X131,X132,X133,X134) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])])]) ).
cnf(c_0_125,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_126,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(spm,[status(thm)],[c_0_81,c_0_122]) ).
cnf(c_0_127,plain,
( ~ eqangle(X2,X1,X1,X3,X4,X1,X1,X5)
| ~ eqangle(X2,X1,X1,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(X1,X2,X2,X3,X4,X1,X1,X5)
| epred1_5(X4,X5,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_128,plain,
( ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X1,X2,X3,X4,X9,X10,X11,X12) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_129,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_130,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_125,c_0_122]) ).
cnf(c_0_131,plain,
( ~ eqangle(X1,X2,X2,X3,X1,X5,X5,X4)
| ~ eqangle(X1,X2,X2,X3,X4,X1,X1,X5)
| ~ eqangle(X2,X1,X1,X3,X4,X1,X1,X5)
| epred1_5(X4,X5,X3,X2,X1) ),
inference(cn,[status(thm)],[c_0_127]) ).
cnf(c_0_132,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130])]) ).
cnf(c_0_133,negated_conjecture,
( ~ eqangle(esk21_0,esk24_0,esk24_0,esk26_0,esk21_0,esk23_0,esk23_0,esk27_0)
| ~ epred1_5(esk23_0,esk27_0,esk26_0,esk24_0,esk21_0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_134,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_131,c_0_132]),c_0_132]),c_0_132])]) ).
cnf(c_0_135,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_132])]),c_0_134])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO599+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 17:48:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.80/0.84 % Version: 3.5.1
% 2.80/0.84 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.80/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.80/0.84 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.80/0.84 % Starting new_bool_3 with 300s (1) cores
% 2.80/0.84 % Starting new_bool_1 with 300s (1) cores
% 2.80/0.84 % Starting sh5l with 300s (1) cores
% 2.80/0.84 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1471600 completed with status 0
% 2.80/0.84 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.80/0.84 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.80/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.80/0.84 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.80/0.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.80/0.84 % No SInE strategy applied
% 2.80/0.84 % Search class: FGHSF-FSLM33-SFFFFFNN
% 2.80/0.84 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 2.80/0.84 % Starting SubtermCWHack with 136s (1) cores
% 2.80/0.84 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.80/0.84 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 2.80/0.84 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 2.80/0.84 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 2.80/0.84 % SubtermCWHack with pid 1471606 completed with status 0
% 2.80/0.84 % Result found by SubtermCWHack
% 2.80/0.84 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.80/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.80/0.84 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.80/0.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.80/0.84 % No SInE strategy applied
% 2.80/0.84 % Search class: FGHSF-FSLM33-SFFFFFNN
% 2.80/0.84 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 2.80/0.84 % Starting SubtermCWHack with 136s (1) cores
% 2.80/0.84 % Preprocessing time : 0.002 s
% 2.80/0.84
% 2.80/0.84 % Proof found!
% 2.80/0.84 % SZS status Theorem
% 2.80/0.84 % SZS output start CNFRefutation
% See solution above
% 2.80/0.84 % Parsed axioms : 95
% 2.80/0.84 % Removed by relevancy pruning/SinE : 0
% 2.80/0.84 % Initial clauses : 152
% 2.80/0.84 % Removed in clause preprocessing : 0
% 2.80/0.84 % Initial clauses in saturation : 152
% 2.80/0.84 % Processed clauses : 5671
% 2.80/0.84 % ...of these trivial : 925
% 2.80/0.84 % ...subsumed : 312
% 2.80/0.84 % ...remaining for further processing : 4433
% 2.80/0.84 % Other redundant clauses eliminated : 0
% 2.80/0.84 % Clauses deleted for lack of memory : 0
% 2.80/0.84 % Backward-subsumed : 50
% 2.80/0.84 % Backward-rewritten : 4295
% 2.80/0.84 % Generated clauses : 47403
% 2.80/0.84 % ...of the previous two non-redundant : 16250
% 2.80/0.84 % ...aggressively subsumed : 0
% 2.80/0.84 % Contextual simplify-reflections : 1
% 2.80/0.84 % Paramodulations : 47403
% 2.80/0.84 % Factorizations : 0
% 2.80/0.84 % NegExts : 0
% 2.80/0.84 % Equation resolutions : 0
% 2.80/0.84 % Disequality decompositions : 0
% 2.80/0.84 % Total rewrite steps : 56195
% 2.80/0.84 % ...of those cached : 50654
% 2.80/0.84 % Propositional unsat checks : 0
% 2.80/0.84 % Propositional check models : 0
% 2.80/0.84 % Propositional check unsatisfiable : 0
% 2.80/0.84 % Propositional clauses : 0
% 2.80/0.84 % Propositional clauses after purity: 0
% 2.80/0.84 % Propositional unsat core size : 0
% 2.80/0.84 % Propositional preprocessing time : 0.000
% 2.80/0.84 % Propositional encoding time : 0.000
% 2.80/0.84 % Propositional solver time : 0.000
% 2.80/0.84 % Success case prop preproc time : 0.000
% 2.80/0.84 % Success case prop encoding time : 0.000
% 2.80/0.84 % Success case prop solver time : 0.000
% 2.80/0.84 % Current number of processed clauses : 88
% 2.80/0.84 % Positive orientable unit clauses : 45
% 2.80/0.84 % Positive unorientable unit clauses: 0
% 2.80/0.84 % Negative unit clauses : 0
% 2.80/0.84 % Non-unit-clauses : 43
% 2.80/0.84 % Current number of unprocessed clauses: 1514
% 2.80/0.84 % ...number of literals in the above : 4199
% 2.80/0.84 % Current number of archived formulas : 0
% 2.80/0.84 % Current number of archived clauses : 4345
% 2.80/0.84 % Clause-clause subsumption calls (NU) : 200884
% 2.80/0.84 % Rec. Clause-clause subsumption calls : 166834
% 2.80/0.84 % Non-unit clause-clause subsumptions : 335
% 2.80/0.84 % Unit Clause-clause subsumption calls : 149211
% 2.80/0.84 % Rewrite failures with RHS unbound : 0
% 2.80/0.84 % BW rewrite match attempts : 32149
% 2.80/0.84 % BW rewrite match successes : 2977
% 2.80/0.84 % Condensation attempts : 0
% 2.80/0.84 % Condensation successes : 0
% 2.80/0.84 % Termbank termtop insertions : 528757
% 2.80/0.84 % Search garbage collected termcells : 3098
% 2.80/0.84
% 2.80/0.84 % -------------------------------------------------
% 2.80/0.84 % User time : 0.361 s
% 2.80/0.84 % System time : 0.018 s
% 2.80/0.84 % Total time : 0.379 s
% 2.80/0.84 % Maximum resident set size: 4308 pages
% 2.80/0.84
% 2.80/0.84 % -------------------------------------------------
% 2.80/0.84 % User time : 1.666 s
% 2.80/0.84 % System time : 0.097 s
% 2.80/0.84 % Total time : 1.763 s
% 2.80/0.84 % Maximum resident set size: 4864 pages
% 2.80/0.84 % E exiting
%------------------------------------------------------------------------------