%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO613+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 : n014.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 12:28:35 PM UTC 2026
% Result : Theorem 0.15s 5.67s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 30
% Syntax : Number of formulae : 180 ( 62 unt; 0 def)
% Number of atoms : 390 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 344 ( 134 ~; 131 |; 48 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 16 con; 0-6 aty)
% Number of variables : 636 ( 55 sgn 332 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL618075y,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( coll(X14,X3,X13)
& coll(X14,X1,X6)
& coll(X13,X2,X6)
& circle(X3,X2,X13,X26)
& circle(X1,X2,X6,X25)
& midp(X5,X4,X2)
& circle(X3,X2,X4,X24)
& circle(X1,X2,X4,X23)
& circle(X3,X2,X21,X22)
& circle(X1,X2,X19,X20) )
=> eqangle(X6,X4,X4,X13,X1,X14,X14,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618075y) ).
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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(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(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(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(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(ruleD55,axiom,
! [X1,X2,X7,X8] :
( ( perp(X8,X7,X1,X2)
& midp(X7,X1,X2) )
=> cong(X8,X1,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
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(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X3,X4)
& midp(X7,X1,X2) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(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(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(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD75,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( 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(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(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( coll(X6,X1,X3)
& para(X5,X6,X2,X3)
& midp(X5,X1,X2) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X6,X1,X3)
& midp(X5,X1,X2) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(ruleD20,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(ruleD22,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
( ( eqangle(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_30,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( coll(X14,X3,X13)
& coll(X14,X1,X6)
& coll(X13,X2,X6)
& circle(X3,X2,X13,X26)
& circle(X1,X2,X6,X25)
& midp(X5,X4,X2)
& circle(X3,X2,X4,X24)
& circle(X1,X2,X4,X23)
& circle(X3,X2,X21,X22)
& circle(X1,X2,X19,X20) )
=> eqangle(X6,X4,X4,X13,X1,X14,X14,X3) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618075y]) ).
fof(c_0_31,plain,
! [X400,X401,X402] :
( coll(X400,X401,X402)
| ~ midp(X400,X401,X402) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).
fof(c_0_32,negated_conjecture,
( ~ eqangle(esk26_0,esk24_0,esk24_0,esk27_0,esk21_0,esk28_0,esk28_0,esk23_0)
& coll(esk28_0,esk23_0,esk27_0)
& coll(esk28_0,esk21_0,esk26_0)
& coll(esk27_0,esk22_0,esk26_0)
& circle(esk23_0,esk22_0,esk27_0,esk36_0)
& circle(esk21_0,esk22_0,esk26_0,esk35_0)
& midp(esk25_0,esk24_0,esk22_0)
& circle(esk23_0,esk22_0,esk24_0,esk34_0)
& circle(esk21_0,esk22_0,esk24_0,esk33_0)
& circle(esk23_0,esk22_0,esk31_0,esk32_0)
& circle(esk21_0,esk22_0,esk29_0,esk30_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).
fof(c_0_33,plain,
! [X71,X72,X73] :
( midp(X73,X71,X72)
| ~ midp(X73,X72,X71) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
fof(c_0_34,plain,
! [X30,X31,X32] :
( coll(X31,X30,X32)
| ~ coll(X30,X31,X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_35,plain,
( ~ midp(X1,X2,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,negated_conjecture,
midp(esk25_0,esk24_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_37,plain,
! [X397,X398,X399] :
( cong(X397,X398,X397,X399)
| ~ midp(X397,X398,X399) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_38,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_39,plain,
! [X27,X28,X29] :
( coll(X27,X29,X28)
| ~ coll(X27,X28,X29) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_40,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
coll(esk25_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_42,plain,
! [X144,X145,X146,X147] :
( cong(X144,X145,X147,X146)
| ~ cong(X144,X145,X146,X147) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).
cnf(c_0_43,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,negated_conjecture,
midp(esk25_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_38,c_0_36]) ).
fof(c_0_45,plain,
! [X33,X34,X35,X36] :
( coll(X35,X36,X33)
| ~ coll(X33,X34,X36)
| ~ coll(X33,X34,X35) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_46,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,negated_conjecture,
coll(esk24_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_48,plain,
! [X148,X149,X150,X151] :
( cong(X150,X151,X148,X149)
| ~ cong(X148,X149,X150,X151) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).
cnf(c_0_49,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,negated_conjecture,
cong(esk25_0,esk22_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,negated_conjecture,
coll(esk24_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,negated_conjecture,
cong(esk25_0,esk22_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
( ~ coll(esk24_0,esk22_0,X1)
| coll(X1,esk25_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_56,plain,
! [X338,X339,X340,X341] :
( perp(X338,X339,X340,X341)
| ~ cong(X338,X341,X339,X341)
| ~ cong(X338,X340,X339,X340) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])])]) ).
cnf(c_0_57,negated_conjecture,
cong(esk24_0,esk25_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_58,plain,
! [X152,X153,X154,X155,X156,X157] :
( cong(X152,X153,X156,X157)
| ~ cong(X154,X155,X156,X157)
| ~ cong(X152,X153,X154,X155) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).
cnf(c_0_59,negated_conjecture,
cong(esk25_0,esk24_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_43,c_0_36]) ).
cnf(c_0_60,negated_conjecture,
coll(esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_55,c_0_52]) ).
cnf(c_0_61,plain,
( ~ cong(X1,X4,X3,X4)
| ~ cong(X1,X2,X3,X2)
| perp(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_62,negated_conjecture,
cong(esk24_0,esk25_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_49,c_0_57]) ).
cnf(c_0_63,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_64,negated_conjecture,
cong(esk25_0,esk24_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_49,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
( ~ coll(esk25_0,esk24_0,X1)
| coll(X1,esk22_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_41]) ).
cnf(c_0_66,negated_conjecture,
coll(esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_46,c_0_60]) ).
fof(c_0_67,plain,
! [X334,X335,X336,X337] :
( cong(X337,X334,X337,X335)
| ~ perp(X337,X336,X334,X335)
| ~ midp(X336,X334,X335) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])])]) ).
cnf(c_0_68,negated_conjecture,
( ~ cong(esk24_0,X1,esk22_0,X1)
| perp(esk24_0,esk22_0,X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_69,plain,
! [X394,X395,X396] :
( midp(X394,X395,X396)
| ~ coll(X394,X395,X396)
| ~ cong(X394,X395,X394,X396) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).
cnf(c_0_70,negated_conjecture,
( ~ cong(X1,X2,esk25_0,esk24_0)
| cong(X1,X2,esk22_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,negated_conjecture,
cong(esk22_0,esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_53,c_0_64]) ).
cnf(c_0_72,negated_conjecture,
coll(esk25_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
fof(c_0_73,plain,
! [X376,X377,X378,X379,X380] :
( para(X376,X378,X377,X379)
| ~ midp(X380,X378,X379)
| ~ midp(X380,X376,X377) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])]) ).
fof(c_0_74,plain,
! [X467,X468,X469,X470,X471,X472] :
( ( ~ midp(X472,X469,X470)
| ~ midp(X471,X467,X468)
| para(esk6_6(X467,X468,X469,X470,X471,X472),X472,X467,X469) )
& ( ~ midp(X472,X469,X470)
| ~ midp(X471,X467,X468)
| para(esk6_6(X467,X468,X469,X470,X471,X472),X471,X468,X470) )
& ( ~ midp(X472,X469,X470)
| ~ midp(X471,X467,X468)
| midp(esk6_6(X467,X468,X469,X470,X471,X472),X467,X470) ) ),
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_75,plain,
( ~ perp(X4,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X4,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_76,negated_conjecture,
perp(esk24_0,esk22_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_68,c_0_62]) ).
cnf(c_0_77,plain,
( ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_78,negated_conjecture,
cong(esk22_0,esk25_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_79,negated_conjecture,
coll(esk22_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_40,c_0_72]) ).
cnf(c_0_80,plain,
( ~ midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| para(X2,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_81,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_74]) ).
cnf(c_0_82,negated_conjecture,
( ~ midp(esk22_0,esk25_0,esk25_0)
| cong(esk24_0,esk25_0,esk24_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,negated_conjecture,
midp(esk22_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]) ).
cnf(c_0_84,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_80,c_0_81]) ).
cnf(c_0_85,plain,
( ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4)
| midp(esk6_6(X1,X2,X3,X4,X5,X6),X4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_81]) ).
cnf(c_0_86,negated_conjecture,
cong(esk24_0,esk25_0,esk24_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]) ).
cnf(c_0_87,negated_conjecture,
coll(esk24_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_40,c_0_66]) ).
cnf(c_0_88,plain,
( ~ midp(X5,X2,X6)
| ~ midp(X3,X4,X1)
| para(X1,X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_89,negated_conjecture,
midp(esk24_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_86]),c_0_87])]) ).
fof(c_0_90,plain,
! [X37,X38,X39,X40] :
( para(X37,X38,X40,X39)
| ~ para(X37,X38,X39,X40) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
cnf(c_0_91,negated_conjecture,
( ~ midp(X2,X1,X3)
| para(esk22_0,X1,X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_88,c_0_36]) ).
cnf(c_0_92,negated_conjecture,
( ~ midp(X2,X1,X3)
| para(esk25_0,X1,X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
fof(c_0_93,plain,
! [X108,X109,X110,X111,X112,X113,X114,X115] :
( eqangle(X110,X111,X108,X109,X114,X115,X112,X113)
| ~ eqangle(X108,X109,X110,X111,X112,X113,X114,X115) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_94,plain,
! [X262,X263,X264,X265,X266,X267] :
( eqangle(X262,X263,X266,X267,X264,X265,X266,X267)
| ~ para(X262,X263,X264,X265) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
fof(c_0_95,plain,
! [X381,X382,X383,X384,X385] :
( midp(X385,X383,X384)
| ~ para(X381,X384,X382,X383)
| ~ para(X381,X383,X382,X384)
| ~ midp(X385,X381,X382) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_96,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_97,negated_conjecture,
para(esk22_0,esk25_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_91,c_0_89]) ).
cnf(c_0_98,negated_conjecture,
coll(esk22_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_65,c_0_41]) ).
cnf(c_0_99,negated_conjecture,
para(esk25_0,esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_92,c_0_36]) ).
fof(c_0_100,plain,
! [X256,X257,X258,X259,X260,X261] :
( para(X256,X257,X258,X259)
| ~ eqangle(X256,X257,X260,X261,X258,X259,X260,X261) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_101,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_93]) ).
cnf(c_0_102,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_103,plain,
( ~ midp(X5,X1,X6)
| ~ midp(X3,X4,X2)
| para(X1,X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_84,c_0_81]) ).
cnf(c_0_104,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_95]) ).
cnf(c_0_105,negated_conjecture,
para(esk22_0,esk25_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_106,negated_conjecture,
( ~ cong(X1,X2,esk25_0,esk24_0)
| cong(X1,X2,esk25_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_59]) ).
cnf(c_0_107,negated_conjecture,
coll(esk22_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_46,c_0_98]) ).
cnf(c_0_108,negated_conjecture,
para(esk25_0,esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_96,c_0_99]) ).
cnf(c_0_109,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_110,plain,
( ~ para(X3,X4,X5,X6)
| eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_111,negated_conjecture,
( ~ midp(X2,X1,X3)
| para(X1,X1,esk25_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_89]) ).
cnf(c_0_112,negated_conjecture,
( ~ midp(X1,esk22_0,esk22_0)
| midp(X1,esk25_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_105])]) ).
cnf(c_0_113,negated_conjecture,
cong(esk25_0,esk22_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_106,c_0_50]) ).
cnf(c_0_114,negated_conjecture,
coll(esk25_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_40,c_0_107]) ).
fof(c_0_115,plain,
! [X433,X434,X435,X436,X437,X438,X439,X440] :
( cong(X433,X434,X435,X436)
| ~ cong(X437,X438,X439,X440)
| ~ eqratio(X433,X434,X435,X436,X437,X438,X439,X440) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])])]) ).
fof(c_0_116,plain,
! [X403,X404,X405,X406,X407,X408] :
( eqratio(X407,X403,X403,X404,X408,X405,X405,X406)
| ~ midp(X408,X405,X406)
| ~ midp(X407,X403,X404) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])])]) ).
cnf(c_0_117,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_104,c_0_108]),c_0_108])]) ).
cnf(c_0_118,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_119,negated_conjecture,
para(esk25_0,esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_111,c_0_89]) ).
cnf(c_0_120,negated_conjecture,
( ~ midp(X1,esk22_0,esk22_0)
| cong(X1,esk25_0,X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_112]) ).
cnf(c_0_121,negated_conjecture,
midp(esk25_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_113]),c_0_114])]) ).
cnf(c_0_122,negated_conjecture,
( ~ coll(esk25_0,esk24_0,X1)
| coll(X1,esk25_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_66]) ).
fof(c_0_123,plain,
! [X391,X392,X393] :
( coll(X391,X392,X393)
| ~ para(X391,X392,X391,X393) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_124,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_115]) ).
cnf(c_0_125,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_116]) ).
cnf(c_0_126,negated_conjecture,
midp(esk24_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_117,c_0_89]) ).
cnf(c_0_127,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_128,negated_conjecture,
cong(esk25_0,esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_129,negated_conjecture,
coll(esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_122,c_0_66]) ).
cnf(c_0_130,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_131,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_124,c_0_125]) ).
cnf(c_0_132,negated_conjecture,
cong(esk24_0,esk24_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_43,c_0_126]) ).
cnf(c_0_133,negated_conjecture,
( ~ midp(X1,X3,X3)
| midp(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_127]),c_0_127])]) ).
cnf(c_0_134,negated_conjecture,
midp(esk25_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_128]),c_0_129])]) ).
cnf(c_0_135,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_130,c_0_127]) ).
cnf(c_0_136,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_131,c_0_132]),c_0_126])]) ).
cnf(c_0_137,negated_conjecture,
midp(esk25_0,X1,X1),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_138,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_40,c_0_135]) ).
fof(c_0_139,plain,
! [X417,X418,X419,X420,X421,X422,X423,X424] :
( para(X417,X418,X419,X420)
| ~ para(X421,X422,X423,X424)
| ~ eqangle(X417,X418,X419,X420,X421,X422,X423,X424) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_140,plain,
! [X296,X297,X298] :
( eqangle(X298,X296,X296,X297,X296,X297,X298,X297)
| ~ cong(X298,X296,X298,X297) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
cnf(c_0_141,negated_conjecture,
cong(esk25_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_142,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_46,c_0_138]) ).
fof(c_0_143,plain,
! [X291,X292,X293,X294,X295] :
( midp(X295,X291,X293)
| ~ coll(X295,X291,X293)
| ~ para(X294,X295,X292,X293)
| ~ midp(X294,X291,X292) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_144,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_139]) ).
cnf(c_0_145,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_146,negated_conjecture,
cong(X1,X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_53,c_0_141]) ).
cnf(c_0_147,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_142]),c_0_142])]) ).
cnf(c_0_148,plain,
( ~ coll(X4,X2,X5)
| ~ para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_149,plain,
( ~ para(X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3)
| para(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_150,negated_conjecture,
cong(X1,X1,X1,esk25_0),
inference(spm,[status(thm)],[c_0_49,c_0_146]) ).
cnf(c_0_151,plain,
( ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_147])]) ).
cnf(c_0_152,plain,
( ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_147])]) ).
cnf(c_0_153,negated_conjecture,
para(X1,X1,X1,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_127])]) ).
cnf(c_0_154,negated_conjecture,
midp(X1,X1,esk25_0),
inference(spm,[status(thm)],[c_0_151,c_0_150]) ).
cnf(c_0_155,negated_conjecture,
( ~ midp(X1,X2,X1)
| midp(X1,X2,esk25_0) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_156,negated_conjecture,
midp(X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_38,c_0_154]) ).
cnf(c_0_157,negated_conjecture,
midp(X1,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_158,negated_conjecture,
( ~ midp(X3,X2,X3)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_152,c_0_127]) ).
cnf(c_0_159,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_133,c_0_157]) ).
cnf(c_0_160,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
fof(c_0_161,plain,
! [X286,X287,X288,X289,X290] :
( para(X289,X290,X287,X288)
| ~ midp(X290,X286,X288)
| ~ midp(X289,X286,X287) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).
cnf(c_0_162,negated_conjecture,
midp(X1,X2,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_160])]) ).
fof(c_0_163,plain,
! [X116,X117,X118,X119,X120,X121,X122,X123] :
( eqangle(X120,X121,X122,X123,X116,X117,X118,X119)
| ~ eqangle(X116,X117,X118,X119,X120,X121,X122,X123) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])])]) ).
cnf(c_0_164,plain,
( ~ midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| para(X1,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_165,negated_conjecture,
midp(X1,esk25_0,X2),
inference(spm,[status(thm)],[c_0_38,c_0_162]) ).
cnf(c_0_166,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
fof(c_0_167,plain,
! [X124,X125,X126,X127,X128,X129,X130,X131] :
( eqangle(X124,X125,X128,X129,X126,X127,X130,X131)
| ~ eqangle(X124,X125,X126,X127,X128,X129,X130,X131) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])])]) ).
cnf(c_0_168,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_165])]) ).
cnf(c_0_169,plain,
( ~ para(X5,X6,X1,X2)
| eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(spm,[status(thm)],[c_0_166,c_0_102]) ).
fof(c_0_170,plain,
! [X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143] :
( eqangle(X132,X133,X134,X135,X140,X141,X142,X143)
| ~ eqangle(X136,X137,X138,X139,X140,X141,X142,X143)
| ~ eqangle(X132,X133,X134,X135,X136,X137,X138,X139) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])])]) ).
cnf(c_0_171,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_167]) ).
cnf(c_0_172,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_168])]) ).
cnf(c_0_173,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_168])]) ).
cnf(c_0_174,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_170]) ).
cnf(c_0_175,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_176,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_171,c_0_173]) ).
cnf(c_0_177,negated_conjecture,
~ eqangle(esk26_0,esk24_0,esk24_0,esk27_0,esk21_0,esk28_0,esk28_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_178,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176])]) ).
cnf(c_0_179,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_178])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO613+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.38 % Computer : n014.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 20 17:51:11 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.43 Running first-order theorem proving
% 0.15/5.43 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
% 0.15/5.67 % Version: 3.5.1
% 0.15/5.67 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/5.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/5.67 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.67 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.67 % Starting sh5l with 300s (1) cores
% 0.15/5.67 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2043540 completed with status 0
% 0.15/5.67 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.15/5.67 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/5.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/5.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.67 % No SInE strategy applied
% 0.15/5.67 % Search class: FGUSF-FFLM33-SFFFFFNN
% 0.15/5.67 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.15/5.67 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.67 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.15/5.67 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/5.67 % Starting new_bool_3 with 136s (1) cores
% 0.15/5.67 % Starting new_bool_1 with 136s (1) cores
% 0.15/5.67 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 2043548 completed with status 0
% 0.15/5.67 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.15/5.67 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/5.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/5.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.67 % No SInE strategy applied
% 0.15/5.67 % Search class: FGUSF-FFLM33-SFFFFFNN
% 0.15/5.67 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.15/5.67 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.67 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.15/5.67 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/5.67 % Preprocessing time : 0.002 s
% 0.15/5.67 % Presaturation interreduction done
% 0.15/5.67
% 0.15/5.67 % Proof found!
% 0.15/5.67 % SZS status Theorem
% 0.15/5.67 % SZS output start CNFRefutation
% See solution above
% 0.15/5.68 % Parsed axioms : 95
% 0.15/5.68 % Removed by relevancy pruning/SinE : 0
% 0.15/5.68 % Initial clauses : 124
% 0.15/5.68 % Removed in clause preprocessing : 0
% 0.15/5.68 % Initial clauses in saturation : 124
% 0.15/5.68 % Processed clauses : 2991
% 0.15/5.68 % ...of these trivial : 413
% 0.15/5.68 % ...subsumed : 268
% 0.15/5.68 % ...remaining for further processing : 2310
% 0.15/5.68 % Other redundant clauses eliminated : 0
% 0.15/5.68 % Clauses deleted for lack of memory : 0
% 0.15/5.68 % Backward-subsumed : 38
% 0.15/5.68 % Backward-rewritten : 2123
% 0.15/5.68 % Generated clauses : 17225
% 0.15/5.68 % ...of the previous two non-redundant : 9550
% 0.15/5.68 % ...aggressively subsumed : 0
% 0.15/5.68 % Contextual simplify-reflections : 3
% 0.15/5.68 % Paramodulations : 17225
% 0.15/5.68 % Factorizations : 0
% 0.15/5.68 % NegExts : 0
% 0.15/5.68 % Equation resolutions : 0
% 0.15/5.68 % Disequality decompositions : 0
% 0.15/5.68 % Total rewrite steps : 11297
% 0.15/5.68 % ...of those cached : 8499
% 0.15/5.68 % Propositional unsat checks : 0
% 0.15/5.68 % Propositional check models : 0
% 0.15/5.68 % Propositional check unsatisfiable : 0
% 0.15/5.68 % Propositional clauses : 0
% 0.15/5.68 % Propositional clauses after purity: 0
% 0.15/5.68 % Propositional unsat core size : 0
% 0.15/5.68 % Propositional preprocessing time : 0.000
% 0.15/5.68 % Propositional encoding time : 0.000
% 0.15/5.68 % Propositional solver time : 0.000
% 0.15/5.68 % Success case prop preproc time : 0.000
% 0.15/5.68 % Success case prop encoding time : 0.000
% 0.15/5.68 % Success case prop solver time : 0.000
% 0.15/5.68 % Current number of processed clauses : 26
% 0.15/5.68 % Positive orientable unit clauses : 12
% 0.15/5.68 % Positive unorientable unit clauses: 0
% 0.15/5.68 % Negative unit clauses : 0
% 0.15/5.68 % Non-unit-clauses : 14
% 0.15/5.68 % Current number of unprocessed clauses: 4629
% 0.15/5.68 % ...number of literals in the above : 16000
% 0.15/5.68 % Current number of archived formulas : 0
% 0.15/5.68 % Current number of archived clauses : 2284
% 0.15/5.68 % Clause-clause subsumption calls (NU) : 107045
% 0.15/5.68 % Rec. Clause-clause subsumption calls : 89273
% 0.15/5.68 % Non-unit clause-clause subsumptions : 309
% 0.15/5.68 % Unit Clause-clause subsumption calls : 151692
% 0.15/5.68 % Rewrite failures with RHS unbound : 0
% 0.15/5.68 % BW rewrite match attempts : 13165
% 0.15/5.68 % BW rewrite match successes : 1604
% 0.15/5.68 % Condensation attempts : 0
% 0.15/5.68 % Condensation successes : 0
% 0.15/5.68 % Termbank termtop insertions : 184624
% 0.15/5.68 % Search garbage collected termcells : 2881
% 0.15/5.68
% 0.15/5.68 % -------------------------------------------------
% 0.15/5.68 % User time : 0.209 s
% 0.15/5.68 % System time : 0.013 s
% 0.15/5.68 % Total time : 0.222 s
% 0.15/5.68 % Maximum resident set size: 4308 pages
% 0.15/5.68
% 0.15/5.68 % -------------------------------------------------
% 0.15/5.68 % User time : 1.003 s
% 0.15/5.68 % System time : 0.074 s
% 0.15/5.68 % Total time : 1.077 s
% 0.15/5.68 % Maximum resident set size: 4864 pages
% 0.15/5.68 % E exiting
%------------------------------------------------------------------------------