%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO634+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 : n004.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 12:28:38 PM UTC 2026
% Result : Theorem 3.47s 0.95s
% Output : CNFRefutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 27
% Syntax : Number of formulae : 135 ( 40 unt; 0 def)
% Number of atoms : 300 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 260 ( 95 ~; 92 |; 45 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 478 ( 20 sgn 266 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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(exemplo6GDDFULL8110997,conjecture,
! [X1,X2,X3,X8,X19,X9,X10,X20,X4,X13,X21,X22] :
( ( coll(X13,X1,X2)
& perp(X13,X10,X1,X2)
& coll(X4,X2,X3)
& perp(X4,X10,X2,X3)
& coll(X20,X1,X10)
& coll(X20,X2,X3)
& circle(X8,X1,X10,X22)
& eqangle(X10,X1,X1,X2,X3,X1,X1,X19)
& coll(X9,X1,X19)
& circle(X8,X1,X9,X21)
& midp(X19,X3,X2)
& circle(X8,X1,X2,X3) )
=> perp(X4,X13,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110997) ).
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(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(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(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(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(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(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(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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(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(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(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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(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(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( para(X9,X10,X11,X12)
& eqangle(X1,X2,X3,X4,X9,X10,X11,X12) )
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(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(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(ruleD10,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X3,X4,X5,X6)
& para(X1,X2,X3,X4) )
=> perp(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(c_0_27,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])])]) ).
fof(c_0_28,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_29,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_30,plain,
( ~ perp(X3,X4,X5,X6)
| ~ perp(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
( ~ circle(X1,X2,X3,X4)
| perp(esk12_4(X2,X3,X4,X1),X2,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_33,negated_conjecture,
~ ! [X1,X2,X3,X8,X19,X9,X10,X20,X4,X13,X21,X22] :
( ( coll(X13,X1,X2)
& perp(X13,X10,X1,X2)
& coll(X4,X2,X3)
& perp(X4,X10,X2,X3)
& coll(X20,X1,X10)
& coll(X20,X2,X3)
& circle(X8,X1,X10,X22)
& eqangle(X10,X1,X1,X2,X3,X1,X1,X19)
& coll(X9,X1,X19)
& circle(X8,X1,X9,X21)
& midp(X19,X3,X2)
& circle(X8,X1,X2,X3) )
=> perp(X4,X13,X9,X1) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110997]) ).
cnf(c_0_34,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_30,c_0_31]) ).
cnf(c_0_35,plain,
( ~ circle(X2,X1,X3,X4)
| perp(X1,X2,esk12_4(X1,X3,X4,X2),X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
fof(c_0_36,negated_conjecture,
( ~ perp(esk29_0,esk30_0,esk26_0,esk21_0)
& coll(esk30_0,esk21_0,esk22_0)
& perp(esk30_0,esk27_0,esk21_0,esk22_0)
& coll(esk29_0,esk22_0,esk23_0)
& perp(esk29_0,esk27_0,esk22_0,esk23_0)
& coll(esk28_0,esk21_0,esk27_0)
& coll(esk28_0,esk22_0,esk23_0)
& circle(esk24_0,esk21_0,esk27_0,esk32_0)
& eqangle(esk27_0,esk21_0,esk21_0,esk22_0,esk23_0,esk21_0,esk21_0,esk25_0)
& coll(esk26_0,esk21_0,esk25_0)
& circle(esk24_0,esk21_0,esk26_0,esk31_0)
& midp(esk25_0,esk23_0,esk22_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_33])])])]) ).
fof(c_0_37,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_38,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])])]) ).
cnf(c_0_39,plain,
( ~ circle(X2,X1,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
circle(esk24_0,esk21_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_41,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_42,plain,
( ~ midp(X1,X2,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,negated_conjecture,
midp(esk25_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_44,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])])]) ).
fof(c_0_45,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_46,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_47,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,negated_conjecture,
para(esk21_0,esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_49,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_50,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])])]) ).
cnf(c_0_51,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,negated_conjecture,
coll(esk25_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_53,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])])]) ).
cnf(c_0_54,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_44]) ).
cnf(c_0_55,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_56,plain,
( ~ para(X1,X2,X3,X4)
| para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,negated_conjecture,
para(esk21_0,esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_58,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_59,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_60,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_61,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_62,negated_conjecture,
( ~ coll(esk25_0,esk23_0,X1)
| coll(X1,esk22_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_63,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,plain,
( ~ para(X3,X4,X5,X6)
| eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_65,negated_conjecture,
para(esk24_0,esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_66,plain,
( ~ cong(X3,X4,X5,X6)
| ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_67,negated_conjecture,
cong(esk25_0,esk23_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_59,c_0_43]) ).
cnf(c_0_68,negated_conjecture,
midp(esk25_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_60,c_0_43]) ).
fof(c_0_69,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_70,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_71,negated_conjecture,
coll(esk22_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_62,c_0_52]) ).
fof(c_0_72,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_73,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_74,negated_conjecture,
para(esk24_0,esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_47,c_0_65]) ).
fof(c_0_75,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_76,negated_conjecture,
( ~ cong(X1,X2,esk25_0,esk23_0)
| cong(X1,X2,esk25_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_77,negated_conjecture,
cong(esk25_0,esk22_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_59,c_0_68]) ).
cnf(c_0_78,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_79,negated_conjecture,
coll(esk22_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_80,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_72]) ).
cnf(c_0_81,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_82,plain,
( ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_83,negated_conjecture,
cong(esk25_0,esk22_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_84,negated_conjecture,
coll(esk25_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
fof(c_0_85,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_86,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_87,negated_conjecture,
( ~ midp(X1,X3,X3)
| midp(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_81])]) ).
cnf(c_0_88,negated_conjecture,
midp(esk25_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]) ).
cnf(c_0_89,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_85]) ).
cnf(c_0_90,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_86]) ).
cnf(c_0_91,negated_conjecture,
midp(esk25_0,X1,X1),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_92,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_89,c_0_90]) ).
cnf(c_0_93,negated_conjecture,
cong(esk25_0,X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_59,c_0_91]) ).
fof(c_0_94,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])])]) ).
fof(c_0_95,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_96,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_92,c_0_93]),c_0_91])]) ).
cnf(c_0_97,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
fof(c_0_98,plain,
! [X413,X414,X415,X416,X417,X418,X419,X420] :
( para(X413,X414,X415,X416)
| ~ para(X417,X418,X419,X420)
| ~ eqangle(X413,X414,X415,X416,X417,X418,X419,X420) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_99,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])])]) ).
fof(c_0_100,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_101,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_102,negated_conjecture,
cong(esk25_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_96,c_0_91]) ).
cnf(c_0_103,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_97,c_0_81]) ).
cnf(c_0_104,plain,
( ~ para(X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_105,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_106,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_107,negated_conjecture,
cong(X1,X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_78,c_0_103]) ).
cnf(c_0_109,plain,
( ~ para(X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3)
| para(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_110,negated_conjecture,
cong(X1,X1,X1,esk25_0),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_70,c_0_108]) ).
cnf(c_0_112,negated_conjecture,
para(X1,X1,X1,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_81])]) ).
cnf(c_0_113,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_111]),c_0_111])]) ).
cnf(c_0_114,negated_conjecture,
para(X1,X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_47,c_0_112]) ).
cnf(c_0_115,plain,
( ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_113])]) ).
cnf(c_0_116,negated_conjecture,
( ~ midp(X1,X2,esk25_0)
| midp(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_114]),c_0_114])]) ).
cnf(c_0_117,negated_conjecture,
midp(X1,X1,esk25_0),
inference(spm,[status(thm)],[c_0_115,c_0_110]) ).
cnf(c_0_118,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_119,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_87,c_0_118]) ).
cnf(c_0_120,negated_conjecture,
cong(X1,X2,X2,X2),
inference(spm,[status(thm)],[c_0_96,c_0_119]) ).
cnf(c_0_121,negated_conjecture,
cong(X1,X1,X2,X1),
inference(spm,[status(thm)],[c_0_101,c_0_120]) ).
cnf(c_0_122,plain,
( ~ cong(X1,X1,X1,X2)
| para(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_105]) ).
cnf(c_0_123,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_106,c_0_121]) ).
fof(c_0_124,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])])]) ).
fof(c_0_125,plain,
! [X61,X62,X63,X64,X65,X66] :
( perp(X61,X62,X65,X66)
| ~ perp(X63,X64,X65,X66)
| ~ para(X61,X62,X63,X64) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])])]) ).
cnf(c_0_126,plain,
para(X1,X1,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123])]) ).
cnf(c_0_127,plain,
( ~ cong(X1,X4,X3,X4)
| ~ cong(X1,X2,X3,X2)
| perp(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_128,negated_conjecture,
cong(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_59,c_0_119]) ).
cnf(c_0_129,plain,
( ~ perp(X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4)
| perp(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_130,plain,
para(X1,X2,X1,X1),
inference(spm,[status(thm)],[c_0_56,c_0_126]) ).
cnf(c_0_131,negated_conjecture,
perp(X1,X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_128])]) ).
cnf(c_0_132,negated_conjecture,
~ perp(esk29_0,esk30_0,esk26_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_133,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131])]) ).
cnf(c_0_134,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_133])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO634+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n004.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 20 18:09:20 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 3.47/0.95 % Version: 3.5.1
% 3.47/0.95 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.47/0.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.47/0.95 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.47/0.95 % Starting new_bool_3 with 300s (1) cores
% 3.47/0.95 % Starting new_bool_1 with 300s (1) cores
% 3.47/0.95 % Starting sh5l with 300s (1) cores
% 3.47/0.95 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1196189 completed with status 0
% 3.47/0.95 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 3.47/0.95 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.47/0.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.47/0.95 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.47/0.95 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.47/0.95 % No SInE strategy applied
% 3.47/0.95 % Search class: FGUSF-FFLM33-SFFFFFNN
% 3.47/0.95 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 3.47/0.95 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.47/0.95 % Starting SubtermCWHack with 136s (1) cores
% 3.47/0.95 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.47/0.95 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 3.47/0.95 % Starting new_bool_3 with 136s (1) cores
% 3.47/0.95 % Starting new_bool_1 with 136s (1) cores
% 3.47/0.95 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 1196197 completed with status 0
% 3.47/0.95 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 3.47/0.95 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.47/0.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.47/0.95 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.47/0.95 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.47/0.95 % No SInE strategy applied
% 3.47/0.95 % Search class: FGUSF-FFLM33-SFFFFFNN
% 3.47/0.95 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 3.47/0.95 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.47/0.95 % Starting SubtermCWHack with 136s (1) cores
% 3.47/0.95 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.47/0.95 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 3.47/0.95 % Preprocessing time : 0.003 s
% 3.47/0.95 % Presaturation interreduction done
% 3.47/0.95
% 3.47/0.95 % Proof found!
% 3.47/0.95 % SZS status Theorem
% 3.47/0.95 % SZS output start CNFRefutation
% See solution above
% 3.47/0.95 % Parsed axioms : 95
% 3.47/0.95 % Removed by relevancy pruning/SinE : 0
% 3.47/0.95 % Initial clauses : 126
% 3.47/0.95 % Removed in clause preprocessing : 0
% 3.47/0.95 % Initial clauses in saturation : 126
% 3.47/0.95 % Processed clauses : 4158
% 3.47/0.95 % ...of these trivial : 341
% 3.47/0.95 % ...subsumed : 568
% 3.47/0.95 % ...remaining for further processing : 3249
% 3.47/0.95 % Other redundant clauses eliminated : 0
% 3.47/0.95 % Clauses deleted for lack of memory : 0
% 3.47/0.95 % Backward-subsumed : 5
% 3.47/0.95 % Backward-rewritten : 2964
% 3.47/0.95 % Generated clauses : 25783
% 3.47/0.95 % ...of the previous two non-redundant : 12918
% 3.47/0.95 % ...aggressively subsumed : 0
% 3.47/0.95 % Contextual simplify-reflections : 11
% 3.47/0.95 % Paramodulations : 25783
% 3.47/0.95 % Factorizations : 0
% 3.47/0.95 % NegExts : 0
% 3.47/0.95 % Equation resolutions : 0
% 3.47/0.95 % Disequality decompositions : 0
% 3.47/0.95 % Total rewrite steps : 17672
% 3.47/0.95 % ...of those cached : 14400
% 3.47/0.95 % Propositional unsat checks : 0
% 3.47/0.95 % Propositional check models : 0
% 3.47/0.95 % Propositional check unsatisfiable : 0
% 3.47/0.95 % Propositional clauses : 0
% 3.47/0.95 % Propositional clauses after purity: 0
% 3.47/0.95 % Propositional unsat core size : 0
% 3.47/0.95 % Propositional preprocessing time : 0.000
% 3.47/0.95 % Propositional encoding time : 0.000
% 3.47/0.95 % Propositional solver time : 0.000
% 3.47/0.95 % Success case prop preproc time : 0.000
% 3.47/0.95 % Success case prop encoding time : 0.000
% 3.47/0.95 % Success case prop solver time : 0.000
% 3.47/0.95 % Current number of processed clauses : 155
% 3.47/0.95 % Positive orientable unit clauses : 95
% 3.47/0.95 % Positive unorientable unit clauses: 0
% 3.47/0.95 % Negative unit clauses : 0
% 3.47/0.95 % Non-unit-clauses : 60
% 3.47/0.95 % Current number of unprocessed clauses: 8732
% 3.47/0.95 % ...number of literals in the above : 29111
% 3.47/0.95 % Current number of archived formulas : 0
% 3.47/0.95 % Current number of archived clauses : 3094
% 3.47/0.95 % Clause-clause subsumption calls (NU) : 237714
% 3.47/0.95 % Rec. Clause-clause subsumption calls : 211371
% 3.47/0.95 % Non-unit clause-clause subsumptions : 584
% 3.47/0.95 % Unit Clause-clause subsumption calls : 99635
% 3.47/0.95 % Rewrite failures with RHS unbound : 0
% 3.47/0.95 % BW rewrite match attempts : 15030
% 3.47/0.95 % BW rewrite match successes : 1932
% 3.47/0.95 % Condensation attempts : 0
% 3.47/0.95 % Condensation successes : 0
% 3.47/0.95 % Termbank termtop insertions : 269584
% 3.47/0.95 % Search garbage collected termcells : 2885
% 3.47/0.95
% 3.47/0.95 % -------------------------------------------------
% 3.47/0.95 % User time : 0.470 s
% 3.47/0.95 % System time : 0.023 s
% 3.47/0.95 % Total time : 0.494 s
% 3.47/0.95 % Maximum resident set size: 4052 pages
% 3.47/0.95
% 3.47/0.95 % -------------------------------------------------
% 3.47/0.95 % User time : 2.371 s
% 3.47/0.95 % System time : 0.121 s
% 3.47/0.95 % Total time : 2.492 s
% 3.47/0.95 % Maximum resident set size: 4864 pages
% 3.47/0.95 % E exiting
%------------------------------------------------------------------------------