%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO595+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 2.54s 0.86s
% Output : CNFRefutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 36
% Syntax : Number of formulae : 236 ( 96 unt; 0 def)
% Number of atoms : 459 ( 0 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 371 ( 148 ~; 145 |; 41 &)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-6 aty)
% Number of variables : 605 ( 28 sgn 340 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416057,conjecture,
! [X1,X2,X3,X4,X8,X5,X6,X19,X20,X21,X22] :
( ( circle(X8,X4,X6,X22)
& coll(X6,X1,X3)
& circle(X8,X4,X5,X21)
& coll(X5,X1,X2)
& circle(X8,X4,X19,X20)
& midp(X8,X1,X4)
& coll(X4,X2,X3)
& perp(X4,X1,X2,X3) )
=> cyclic(X2,X3,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416057) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( coll(X9,X10,X2)
& eqangle(X9,X1,X9,X2,X10,X1,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X4)
& coll(X1,X2,X3) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X3,X4,X5,X6)
& cong(X1,X2,X3,X4) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( coll(X1,X2,X3)
& cong(X1,X2,X1,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(ruleD75,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( cong(X9,X10,X11,X12)
& eqratio(X1,X2,X3,X4,X9,X10,X11,X12) )
=> cong(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(ruleD70,axiom,
! [X1,X2,X3,X4,X7,X17] :
( ( midp(X17,X3,X4)
& midp(X7,X1,X2) )
=> eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(ruleD74,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( perp(X9,X10,X11,X12)
& eqangle(X1,X2,X3,X4,X9,X10,X11,X12) )
=> perp(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X10,X2,X10)
& cong(X1,X9,X2,X9) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(ruleD55,axiom,
! [X1,X2,X7,X8] :
( ( perp(X8,X7,X1,X2)
& midp(X7,X1,X2) )
=> cong(X8,X1,X8,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X3,X4)
& midp(X7,X1,X2) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X17,X3,X4)
& midp(X7,X1,X2) )
=> ( para(X9,X17,X1,X3)
& para(X9,X7,X2,X4)
& midp(X9,X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X5)
& cyclic(X1,X2,X3,X4) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(c_0_36,negated_conjecture,
~ ! [X1,X2,X3,X4,X8,X5,X6,X19,X20,X21,X22] :
( ( circle(X8,X4,X6,X22)
& coll(X6,X1,X3)
& circle(X8,X4,X5,X21)
& coll(X5,X1,X2)
& circle(X8,X4,X19,X20)
& midp(X8,X1,X4)
& coll(X4,X2,X3)
& perp(X4,X1,X2,X3) )
=> cyclic(X2,X3,X5,X6) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416057]) ).
fof(c_0_37,plain,
! [X47,X48,X49,X50] :
( perp(X47,X48,X50,X49)
| ~ perp(X47,X48,X49,X50) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])])]) ).
fof(c_0_38,negated_conjecture,
( ~ cyclic(esk22_0,esk23_0,esk26_0,esk27_0)
& circle(esk25_0,esk24_0,esk27_0,esk31_0)
& coll(esk27_0,esk21_0,esk23_0)
& circle(esk25_0,esk24_0,esk26_0,esk30_0)
& coll(esk26_0,esk21_0,esk22_0)
& circle(esk25_0,esk24_0,esk28_0,esk29_0)
& midp(esk25_0,esk21_0,esk24_0)
& coll(esk24_0,esk22_0,esk23_0)
& perp(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_36])])])]) ).
fof(c_0_39,plain,
! [X51,X52,X53,X54] :
( perp(X53,X54,X51,X52)
| ~ perp(X51,X52,X53,X54) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
cnf(c_0_40,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_41,negated_conjecture,
perp(esk24_0,esk21_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_42,plain,
! [X396,X397,X398] :
( coll(X396,X397,X398)
| ~ midp(X396,X397,X398) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).
fof(c_0_43,plain,
! [X272,X273,X274,X275] :
( cyclic(X272,X273,X274,X275)
| ~ coll(X274,X275,X273)
| ~ eqangle(X274,X272,X274,X273,X275,X272,X275,X273) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
fof(c_0_44,plain,
! [X258,X259,X260,X261,X262,X263] :
( eqangle(X258,X259,X262,X263,X260,X261,X262,X263)
| ~ para(X258,X259,X260,X261) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
fof(c_0_45,plain,
! [X55,X56,X57,X58,X59,X60] :
( para(X55,X56,X59,X60)
| ~ perp(X57,X58,X59,X60)
| ~ perp(X55,X56,X57,X58) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
cnf(c_0_46,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,negated_conjecture,
perp(esk24_0,esk21_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_48,plain,
! [X26,X27,X28] :
( coll(X27,X26,X28)
| ~ coll(X26,X27,X28) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_49,plain,
( ~ midp(X1,X2,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,negated_conjecture,
midp(esk25_0,esk21_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_51,plain,
! [X252,X253,X254,X255,X256,X257] :
( para(X252,X253,X254,X255)
| ~ eqangle(X252,X253,X256,X257,X254,X255,X256,X257) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
fof(c_0_52,plain,
! [X264,X265,X266,X267] :
( eqangle(X266,X264,X266,X265,X267,X264,X267,X265)
| ~ cyclic(X264,X265,X266,X267) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).
cnf(c_0_53,plain,
( ~ coll(X1,X4,X3)
| ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| cyclic(X2,X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_54,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_55,plain,
( ~ perp(X3,X4,X5,X6)
| ~ perp(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_56,negated_conjecture,
perp(esk23_0,esk22_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_57,plain,
! [X29,X30,X31,X32] :
( coll(X31,X32,X29)
| ~ coll(X29,X30,X32)
| ~ coll(X29,X30,X31) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_58,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,negated_conjecture,
coll(esk25_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_60,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_61,plain,
( ~ cyclic(X1,X2,X3,X4)
| eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_62,plain,
( ~ coll(X3,X3,X2)
| ~ para(X3,X1,X3,X1)
| cyclic(X1,X2,X3,X3) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_63,negated_conjecture,
( ~ perp(X1,X2,esk23_0,esk22_0)
| para(X1,X2,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_64,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_65,negated_conjecture,
coll(esk21_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_66,plain,
! [X393,X394,X395] :
( cong(X393,X394,X393,X395)
| ~ midp(X393,X394,X395) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
fof(c_0_67,plain,
! [X67,X68,X69] :
( midp(X69,X67,X68)
| ~ midp(X69,X68,X67) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
fof(c_0_68,plain,
! [X497,X498,X499,X500] :
( perp(esk12_4(X497,X498,X499,X500),X497,X497,X500)
| ~ circle(X500,X497,X498,X499) ),
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_69,plain,
! [X23,X24,X25] :
( coll(X23,X25,X24)
| ~ coll(X23,X24,X25) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_70,plain,
( ~ cyclic(X2,X3,X1,X1)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_71,negated_conjecture,
( ~ coll(esk24_0,esk24_0,X1)
| cyclic(esk21_0,X1,esk24_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_47])]) ).
cnf(c_0_72,negated_conjecture,
( ~ coll(esk21_0,esk25_0,X1)
| coll(X1,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_73,plain,
! [X148,X149,X150,X151,X152,X153] :
( cong(X148,X149,X152,X153)
| ~ cong(X150,X151,X152,X153)
| ~ cong(X148,X149,X150,X151) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).
cnf(c_0_74,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_75,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_76,negated_conjecture,
( ~ coll(esk25_0,esk21_0,X1)
| coll(X1,esk24_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_59]) ).
cnf(c_0_77,plain,
( ~ circle(X1,X2,X3,X4)
| perp(esk12_4(X2,X3,X4,X1),X2,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_78,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_79,plain,
! [X377,X378,X379,X380,X381] :
( midp(X381,X379,X380)
| ~ para(X377,X380,X378,X379)
| ~ para(X377,X379,X378,X380)
| ~ midp(X381,X377,X378) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_80,negated_conjecture,
( ~ coll(esk24_0,esk24_0,X1)
| para(esk24_0,esk21_0,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_81,negated_conjecture,
coll(esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_72,c_0_65]) ).
cnf(c_0_82,plain,
( ~ cong(X3,X4,X5,X6)
| ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_83,negated_conjecture,
cong(esk25_0,esk21_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_74,c_0_50]) ).
cnf(c_0_84,negated_conjecture,
midp(esk25_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_75,c_0_50]) ).
cnf(c_0_85,negated_conjecture,
coll(esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_76,c_0_59]) ).
cnf(c_0_86,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_55,c_0_77]) ).
cnf(c_0_87,plain,
( ~ circle(X2,X1,X3,X4)
| perp(X1,X2,esk12_4(X1,X3,X4,X2),X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_77]) ).
cnf(c_0_88,negated_conjecture,
coll(esk21_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_78,c_0_65]) ).
cnf(c_0_89,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_79]) ).
cnf(c_0_90,negated_conjecture,
para(esk24_0,esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
fof(c_0_91,plain,
! [X390,X391,X392] :
( midp(X390,X391,X392)
| ~ coll(X390,X391,X392)
| ~ cong(X390,X391,X390,X392) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).
cnf(c_0_92,negated_conjecture,
( ~ cong(X1,X2,esk25_0,esk21_0)
| cong(X1,X2,esk25_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_93,negated_conjecture,
cong(esk25_0,esk24_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_74,c_0_84]) ).
cnf(c_0_94,negated_conjecture,
coll(esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_78,c_0_85]) ).
cnf(c_0_95,plain,
( ~ circle(X2,X1,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_96,negated_conjecture,
circle(esk25_0,esk24_0,esk26_0,esk30_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_97,negated_conjecture,
( ~ coll(esk21_0,esk24_0,X1)
| coll(X1,esk25_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_88]) ).
fof(c_0_98,plain,
! [X140,X141,X142,X143] :
( cong(X140,X141,X143,X142)
| ~ cong(X140,X141,X142,X143) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).
cnf(c_0_99,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_89,c_0_90]),c_0_90])]) ).
cnf(c_0_100,plain,
( ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_101,negated_conjecture,
cong(esk25_0,esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_102,negated_conjecture,
coll(esk25_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_58,c_0_94]) ).
cnf(c_0_103,negated_conjecture,
para(esk24_0,esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_104,negated_conjecture,
coll(esk25_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_97,c_0_88]) ).
fof(c_0_105,plain,
! [X33,X34,X35,X36] :
( para(X33,X34,X36,X35)
| ~ para(X33,X34,X35,X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
fof(c_0_106,plain,
! [X144,X145,X146,X147] :
( cong(X146,X147,X144,X145)
| ~ cong(X144,X145,X146,X147) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).
cnf(c_0_107,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_108,negated_conjecture,
( ~ midp(X1,esk24_0,esk24_0)
| cong(X1,esk21_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_99]) ).
cnf(c_0_109,negated_conjecture,
midp(esk25_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102])]) ).
cnf(c_0_110,negated_conjecture,
( ~ midp(X1,esk24_0,esk24_0)
| midp(X1,esk25_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_103]),c_0_103])]) ).
cnf(c_0_111,negated_conjecture,
coll(esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_78,c_0_104]) ).
fof(c_0_112,plain,
! [X37,X38,X39,X40] :
( para(X39,X40,X37,X38)
| ~ para(X37,X38,X39,X40) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
cnf(c_0_113,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_114,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_115,negated_conjecture,
cong(esk25_0,esk21_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_107,c_0_83]) ).
cnf(c_0_116,negated_conjecture,
cong(esk25_0,esk21_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
fof(c_0_117,plain,
! [X429,X430,X431,X432,X433,X434,X435,X436] :
( cong(X429,X430,X431,X432)
| ~ cong(X433,X434,X435,X436)
| ~ eqratio(X429,X430,X431,X432,X433,X434,X435,X436) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])])]) ).
fof(c_0_118,plain,
! [X399,X400,X401,X402,X403,X404] :
( eqratio(X403,X399,X399,X400,X404,X401,X401,X402)
| ~ midp(X404,X401,X402)
| ~ midp(X403,X399,X400) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])])]) ).
cnf(c_0_119,negated_conjecture,
( ~ midp(X1,esk24_0,esk24_0)
| cong(X1,esk25_0,X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_110]) ).
cnf(c_0_120,negated_conjecture,
( ~ coll(esk25_0,esk21_0,X1)
| coll(X1,esk25_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_111]) ).
cnf(c_0_121,plain,
( ~ para(X1,X2,X3,X4)
| para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_122,negated_conjecture,
para(esk24_0,esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_113,c_0_103]) ).
cnf(c_0_123,negated_conjecture,
cong(esk24_0,esk25_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_124,negated_conjecture,
coll(esk25_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_78,c_0_59]) ).
cnf(c_0_125,negated_conjecture,
cong(esk25_0,esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_107,c_0_116]) ).
cnf(c_0_126,plain,
( ~ cong(X5,X6,X7,X8)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_127,plain,
( ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3)
| eqratio(X1,X2,X2,X3,X4,X5,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_128,negated_conjecture,
cong(esk25_0,esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_119,c_0_109]) ).
cnf(c_0_129,negated_conjecture,
coll(esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_120,c_0_111]) ).
cnf(c_0_130,negated_conjecture,
para(esk25_0,esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_131,negated_conjecture,
cong(esk24_0,esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_92,c_0_123]) ).
cnf(c_0_132,negated_conjecture,
coll(esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_76,c_0_111]) ).
cnf(c_0_133,negated_conjecture,
( ~ coll(esk25_0,esk24_0,X1)
| coll(X1,esk21_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_124]) ).
cnf(c_0_134,negated_conjecture,
cong(esk21_0,esk25_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_114,c_0_125]) ).
cnf(c_0_135,plain,
( ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6)
| ~ cong(X4,X5,X5,X6)
| cong(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_136,negated_conjecture,
midp(esk25_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_128]),c_0_129])]) ).
cnf(c_0_137,negated_conjecture,
para(esk25_0,esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_113,c_0_130]) ).
cnf(c_0_138,negated_conjecture,
cong(esk24_0,esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_107,c_0_131]) ).
cnf(c_0_139,negated_conjecture,
coll(esk24_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_58,c_0_132]) ).
cnf(c_0_140,negated_conjecture,
coll(esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_133,c_0_124]) ).
fof(c_0_141,plain,
! [X421,X422,X423,X424,X425,X426,X427,X428] :
( perp(X421,X422,X423,X424)
| ~ perp(X425,X426,X427,X428)
| ~ eqangle(X421,X422,X423,X424,X425,X426,X427,X428) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])])]) ).
fof(c_0_142,plain,
! [X292,X293,X294] :
( eqangle(X294,X292,X292,X293,X292,X293,X294,X293)
| ~ cong(X294,X292,X294,X293) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
cnf(c_0_143,negated_conjecture,
cong(esk25_0,esk24_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_107,c_0_93]) ).
cnf(c_0_144,negated_conjecture,
cong(esk21_0,esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_107,c_0_134]) ).
cnf(c_0_145,negated_conjecture,
coll(esk21_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_58,c_0_111]) ).
cnf(c_0_146,negated_conjecture,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_128]),c_0_136])]) ).
cnf(c_0_147,negated_conjecture,
( ~ midp(X1,esk25_0,esk25_0)
| midp(X1,esk24_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_137]),c_0_137])]) ).
cnf(c_0_148,negated_conjecture,
midp(esk24_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_138]),c_0_139])]) ).
cnf(c_0_149,negated_conjecture,
coll(esk21_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_78,c_0_140]) ).
cnf(c_0_150,plain,
( ~ perp(X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_151,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
fof(c_0_152,plain,
! [X334,X335,X336,X337] :
( perp(X334,X335,X336,X337)
| ~ cong(X334,X337,X335,X337)
| ~ cong(X334,X336,X335,X336) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])])]) ).
cnf(c_0_153,negated_conjecture,
cong(esk21_0,esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_114,c_0_143]) ).
cnf(c_0_154,negated_conjecture,
midp(esk21_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_144]),c_0_145])]) ).
cnf(c_0_155,negated_conjecture,
cong(esk25_0,esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_146,c_0_84]) ).
cnf(c_0_156,negated_conjecture,
midp(esk24_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_157,negated_conjecture,
coll(esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_72,c_0_149]) ).
cnf(c_0_158,plain,
( ~ perp(X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_159,plain,
( ~ cong(X1,X4,X3,X4)
| ~ cong(X1,X2,X3,X2)
| perp(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_160,negated_conjecture,
cong(esk21_0,esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_107,c_0_153]) ).
cnf(c_0_161,negated_conjecture,
midp(esk21_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_147,c_0_154]) ).
cnf(c_0_162,negated_conjecture,
cong(esk24_0,esk21_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_114,c_0_155]) ).
cnf(c_0_163,negated_conjecture,
coll(esk24_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_58,c_0_124]) ).
cnf(c_0_164,negated_conjecture,
cong(esk24_0,esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_108,c_0_156]) ).
cnf(c_0_165,negated_conjecture,
coll(esk24_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_58,c_0_157]) ).
fof(c_0_166,plain,
! [X330,X331,X332,X333] :
( cong(X333,X330,X333,X331)
| ~ perp(X333,X332,X330,X331)
| ~ midp(X332,X330,X331) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])])]) ).
cnf(c_0_167,negated_conjecture,
( ~ perp(esk21_0,esk24_0,esk25_0,esk24_0)
| perp(esk25_0,esk21_0,esk21_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_158,c_0_83]) ).
cnf(c_0_168,negated_conjecture,
( ~ cong(esk21_0,X1,esk24_0,X1)
| perp(esk21_0,esk24_0,X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_169,negated_conjecture,
cong(esk21_0,esk24_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_146,c_0_161]) ).
cnf(c_0_170,negated_conjecture,
cong(esk24_0,esk21_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_107,c_0_162]) ).
cnf(c_0_171,negated_conjecture,
coll(esk24_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_78,c_0_163]) ).
cnf(c_0_172,negated_conjecture,
cong(esk25_0,esk24_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_146,c_0_109]) ).
cnf(c_0_173,negated_conjecture,
cong(esk24_0,esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_107,c_0_123]) ).
cnf(c_0_174,negated_conjecture,
midp(esk24_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_164]),c_0_165])]) ).
cnf(c_0_175,plain,
( ~ perp(X4,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X4,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_176,negated_conjecture,
( ~ perp(esk21_0,esk24_0,esk25_0,esk24_0)
| perp(esk21_0,esk24_0,esk25_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_167]) ).
cnf(c_0_177,negated_conjecture,
perp(esk21_0,esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_178,negated_conjecture,
midp(esk24_0,esk21_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_170]),c_0_171])]) ).
cnf(c_0_179,negated_conjecture,
cong(esk24_0,esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_114,c_0_172]) ).
cnf(c_0_180,negated_conjecture,
( ~ cong(esk24_0,X1,esk21_0,X1)
| perp(esk24_0,esk21_0,X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_159,c_0_173]) ).
cnf(c_0_181,negated_conjecture,
cong(esk24_0,esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_146,c_0_174]) ).
cnf(c_0_182,negated_conjecture,
( ~ perp(esk21_0,esk24_0,esk25_0,esk24_0)
| ~ midp(esk24_0,esk25_0,esk21_0)
| cong(esk21_0,esk25_0,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_183,negated_conjecture,
perp(esk21_0,esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_40,c_0_177]) ).
cnf(c_0_184,negated_conjecture,
midp(esk24_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_75,c_0_178]) ).
cnf(c_0_185,negated_conjecture,
cong(esk24_0,esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_107,c_0_179]) ).
cnf(c_0_186,negated_conjecture,
perp(esk24_0,esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_187,negated_conjecture,
cong(esk21_0,esk25_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_183])]),c_0_184])]) ).
cnf(c_0_188,negated_conjecture,
midp(esk24_0,esk24_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_185]),c_0_85])]) ).
cnf(c_0_189,negated_conjecture,
perp(esk24_0,esk21_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_40,c_0_186]) ).
cnf(c_0_190,negated_conjecture,
midp(esk21_0,esk25_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_187]),c_0_149])]) ).
cnf(c_0_191,negated_conjecture,
midp(esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_75,c_0_188]) ).
cnf(c_0_192,negated_conjecture,
cong(esk24_0,esk25_0,esk24_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_189]),c_0_190])]) ).
cnf(c_0_193,negated_conjecture,
perp(esk25_0,esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_46,c_0_189]) ).
cnf(c_0_194,negated_conjecture,
cong(esk21_0,esk25_0,esk21_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_183]),c_0_191])]) ).
fof(c_0_195,plain,
! [X372,X373,X374,X375,X376] :
( para(X372,X374,X373,X375)
| ~ midp(X376,X374,X375)
| ~ midp(X376,X372,X373) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])]) ).
fof(c_0_196,plain,
! [X463,X464,X465,X466,X467,X468] :
( ( ~ midp(X468,X465,X466)
| ~ midp(X467,X463,X464)
| para(esk6_6(X463,X464,X465,X466,X467,X468),X468,X463,X465) )
& ( ~ midp(X468,X465,X466)
| ~ midp(X467,X463,X464)
| para(esk6_6(X463,X464,X465,X466,X467,X468),X467,X464,X466) )
& ( ~ midp(X468,X465,X466)
| ~ midp(X467,X463,X464)
| midp(esk6_6(X463,X464,X465,X466,X467,X468),X463,X466) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_197,negated_conjecture,
perp(esk24_0,esk25_0,esk25_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_192]),c_0_193])]) ).
cnf(c_0_198,negated_conjecture,
midp(esk21_0,esk25_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_194]),c_0_65])]) ).
cnf(c_0_199,plain,
( ~ midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| para(X2,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
cnf(c_0_200,plain,
( ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2)
| midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_201,negated_conjecture,
perp(esk25_0,esk21_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_46,c_0_197]) ).
cnf(c_0_202,negated_conjecture,
midp(esk21_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_75,c_0_198]) ).
fof(c_0_203,plain,
! [X104,X105,X106,X107,X108,X109,X110,X111] :
( eqangle(X106,X107,X104,X105,X110,X111,X108,X109)
| ~ eqangle(X104,X105,X106,X107,X108,X109,X110,X111) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
cnf(c_0_204,plain,
( ~ midp(X7,X2,X5)
| ~ midp(X8,X6,X4)
| ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
| para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_205,negated_conjecture,
cong(esk25_0,esk24_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_201]),c_0_202])]) ).
cnf(c_0_206,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_203]) ).
cnf(c_0_207,plain,
( ~ midp(X5,X1,X6)
| ~ midp(X3,X4,X2)
| para(X1,X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_204,c_0_200]) ).
cnf(c_0_208,negated_conjecture,
midp(esk25_0,esk24_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_205]),c_0_132])]) ).
cnf(c_0_209,plain,
( ~ para(X3,X4,X5,X6)
| eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
inference(spm,[status(thm)],[c_0_206,c_0_54]) ).
cnf(c_0_210,negated_conjecture,
( ~ midp(X2,X1,X3)
| para(X1,X1,esk25_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_207,c_0_136]) ).
cnf(c_0_211,negated_conjecture,
midp(esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_75,c_0_208]) ).
fof(c_0_212,plain,
! [X387,X388,X389] :
( coll(X387,X388,X389)
| ~ para(X387,X388,X387,X389) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_213,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_209]) ).
cnf(c_0_214,negated_conjecture,
para(esk25_0,esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_215,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_212]) ).
cnf(c_0_216,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_217,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_218,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_58,c_0_217]) ).
cnf(c_0_219,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_78,c_0_218]) ).
fof(c_0_220,plain,
! [X83,X84,X85,X86] :
( cyclic(X83,X85,X84,X86)
| ~ cyclic(X83,X84,X85,X86) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).
cnf(c_0_221,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_219]),c_0_219])]) ).
fof(c_0_222,plain,
! [X79,X80,X81,X82] :
( cyclic(X79,X80,X82,X81)
| ~ cyclic(X79,X80,X81,X82) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).
cnf(c_0_223,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
cnf(c_0_224,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_216])]),c_0_221])]) ).
fof(c_0_225,plain,
! [X87,X88,X89,X90] :
( cyclic(X88,X87,X89,X90)
| ~ cyclic(X87,X88,X89,X90) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).
cnf(c_0_226,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_222]) ).
cnf(c_0_227,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
fof(c_0_228,plain,
! [X91,X92,X93,X94,X95] :
( cyclic(X92,X93,X94,X95)
| ~ cyclic(X91,X92,X93,X95)
| ~ cyclic(X91,X92,X93,X94) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_229,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_225]) ).
cnf(c_0_230,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_231,plain,
( ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_228]) ).
cnf(c_0_232,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_233,negated_conjecture,
~ cyclic(esk22_0,esk23_0,esk26_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_234,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_232])]) ).
cnf(c_0_235,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_234])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO595+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 17:36:56 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 2.54/0.86 % Version: 3.5.1
% 2.54/0.86 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.54/0.86 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.54/0.86 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.54/0.86 % Starting new_bool_3 with 300s (1) cores
% 2.54/0.86 % Starting new_bool_1 with 300s (1) cores
% 2.54/0.86 % Starting sh5l with 300s (1) cores
% 2.54/0.86 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 311409 completed with status 0
% 2.54/0.86 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.54/0.86 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.54/0.86 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.54/0.86 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.54/0.86 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.54/0.86 % No SInE strategy applied
% 2.54/0.86 % Search class: FGUSF-FFLM33-SFFFFFNN
% 2.54/0.86 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.54/0.86 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.54/0.86 % Starting SubtermCWHack with 136s (1) cores
% 2.54/0.86 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.54/0.86 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.54/0.86 % Starting new_bool_3 with 136s (1) cores
% 2.54/0.86 % Starting new_bool_1 with 136s (1) cores
% 2.54/0.86 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 311415 completed with status 0
% 2.54/0.86 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 2.54/0.86 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.54/0.86 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.54/0.86 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.54/0.86 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.54/0.86 % No SInE strategy applied
% 2.54/0.86 % Search class: FGUSF-FFLM33-SFFFFFNN
% 2.54/0.86 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.54/0.86 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.54/0.86 % Starting SubtermCWHack with 136s (1) cores
% 2.54/0.86 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.54/0.86 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.54/0.86 % Preprocessing time : 0.003 s
% 2.54/0.86 % Presaturation interreduction done
% 2.54/0.86
% 2.54/0.86 % Proof found!
% 2.54/0.86 % SZS status Theorem
% 2.54/0.86 % SZS output start CNFRefutation
% See solution above
% 2.54/0.86 % Parsed axioms : 95
% 2.54/0.86 % Removed by relevancy pruning/SinE : 0
% 2.54/0.86 % Initial clauses : 122
% 2.54/0.86 % Removed in clause preprocessing : 0
% 2.54/0.86 % Initial clauses in saturation : 122
% 2.54/0.86 % Processed clauses : 3036
% 2.54/0.86 % ...of these trivial : 350
% 2.54/0.86 % ...subsumed : 518
% 2.54/0.86 % ...remaining for further processing : 2168
% 2.54/0.86 % Other redundant clauses eliminated : 0
% 2.54/0.86 % Clauses deleted for lack of memory : 0
% 2.54/0.86 % Backward-subsumed : 12
% 2.54/0.86 % Backward-rewritten : 1421
% 2.54/0.86 % Generated clauses : 15126
% 2.54/0.86 % ...of the previous two non-redundant : 9667
% 2.54/0.86 % ...aggressively subsumed : 0
% 2.54/0.86 % Contextual simplify-reflections : 30
% 2.54/0.86 % Paramodulations : 15126
% 2.54/0.86 % Factorizations : 0
% 2.54/0.86 % NegExts : 0
% 2.54/0.86 % Equation resolutions : 0
% 2.54/0.86 % Disequality decompositions : 0
% 2.54/0.86 % Total rewrite steps : 8245
% 2.54/0.86 % ...of those cached : 6522
% 2.54/0.86 % Propositional unsat checks : 0
% 2.54/0.86 % Propositional check models : 0
% 2.54/0.86 % Propositional check unsatisfiable : 0
% 2.54/0.86 % Propositional clauses : 0
% 2.54/0.86 % Propositional clauses after purity: 0
% 2.54/0.86 % Propositional unsat core size : 0
% 2.54/0.86 % Propositional preprocessing time : 0.000
% 2.54/0.86 % Propositional encoding time : 0.000
% 2.54/0.86 % Propositional solver time : 0.000
% 2.54/0.86 % Success case prop preproc time : 0.000
% 2.54/0.86 % Success case prop encoding time : 0.000
% 2.54/0.86 % Success case prop solver time : 0.000
% 2.54/0.86 % Current number of processed clauses : 614
% 2.54/0.86 % Positive orientable unit clauses : 263
% 2.54/0.86 % Positive unorientable unit clauses: 0
% 2.54/0.86 % Negative unit clauses : 0
% 2.54/0.86 % Non-unit-clauses : 351
% 2.54/0.86 % Current number of unprocessed clauses: 6820
% 2.54/0.86 % ...number of literals in the above : 21690
% 2.54/0.86 % Current number of archived formulas : 0
% 2.54/0.86 % Current number of archived clauses : 1554
% 2.54/0.86 % Clause-clause subsumption calls (NU) : 251262
% 2.54/0.86 % Rec. Clause-clause subsumption calls : 225657
% 2.54/0.86 % Non-unit clause-clause subsumptions : 557
% 2.54/0.86 % Unit Clause-clause subsumption calls : 167385
% 2.54/0.86 % Rewrite failures with RHS unbound : 0
% 2.54/0.86 % BW rewrite match attempts : 6474
% 2.54/0.86 % BW rewrite match successes : 943
% 2.54/0.86 % Condensation attempts : 0
% 2.54/0.86 % Condensation successes : 0
% 2.54/0.86 % Termbank termtop insertions : 182359
% 2.54/0.86 % Search garbage collected termcells : 2839
% 2.54/0.86
% 2.54/0.86 % -------------------------------------------------
% 2.54/0.86 % User time : 0.380 s
% 2.54/0.86 % System time : 0.013 s
% 2.54/0.86 % Total time : 0.393 s
% 2.54/0.86 % Maximum resident set size: 4304 pages
% 2.54/0.86
% 2.54/0.86 % -------------------------------------------------
% 2.54/0.86 % User time : 1.668 s
% 2.54/0.86 % System time : 0.083 s
% 2.54/0.86 % Total time : 1.751 s
% 2.54/0.86 % Maximum resident set size: 5120 pages
% 2.54/0.86 % E exiting
%------------------------------------------------------------------------------