TSTP Solution File: GEO629+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO629+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:33:12 EDT 2023
% Result : Theorem 0.36s 0.90s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 26
% Syntax : Number of formulae : 125 ( 31 unt; 0 def)
% Number of atoms : 313 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 298 ( 110 ~; 107 |; 54 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-6 aty)
% Number of variables : 488 ( 38 sgn; 258 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL8110992,conjecture,
! [X1,X2,X3,X8,X19,X20,X21,X9,X6,X13,X22,X23,X24,X25] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X19,X23)
& perp(X20,X19,X1,X3)
& coll(X20,X1,X3)
& perp(X21,X19,X1,X2)
& coll(X21,X1,X2)
& circle(X8,X1,X9,X24)
& perp(X6,X9,X1,X3)
& coll(X6,X1,X3)
& perp(X13,X9,X1,X2)
& coll(X13,X1,X2)
& para(X20,X21,X22,X9)
& circle(X8,X1,X22,X25) )
=> para(X22,X19,X13,X6) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',exemplo6GDDFULL8110992) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD4) ).
fof(ruleD6,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X1,X2,X3,X4)
& para(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD6) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD5) ).
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/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',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/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD40) ).
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/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD1) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& coll(X9,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD42b) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD3) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD14) ).
fof(ruleD51,axiom,
! [X1,X2,X3,X8,X7] :
( ( circle(X8,X1,X2,X3)
& coll(X7,X2,X3)
& eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
=> midp(X7,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD51) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD41) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD16) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X4)
& cyclic(X1,X2,X3,X5) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD17) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD45) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD11) ).
fof(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& para(X9,X10,X11,X12) )
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',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/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD68) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD64) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> ( midp(X9,X1,X4)
& para(X9,X7,X2,X4)
& para(X9,X17,X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleX6) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p',ruleD44) ).
fof(c_0_26,negated_conjecture,
~ ! [X1,X2,X3,X8,X19,X20,X21,X9,X6,X13,X22,X23,X24,X25] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X19,X23)
& perp(X20,X19,X1,X3)
& coll(X20,X1,X3)
& perp(X21,X19,X1,X2)
& coll(X21,X1,X2)
& circle(X8,X1,X9,X24)
& perp(X6,X9,X1,X3)
& coll(X6,X1,X3)
& perp(X13,X9,X1,X2)
& coll(X13,X1,X2)
& para(X20,X21,X22,X9)
& circle(X8,X1,X22,X25) )
=> para(X22,X19,X13,X6) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110992]) ).
fof(c_0_27,plain,
! [X40,X41,X42,X43] :
( ~ para(X40,X41,X42,X43)
| para(X40,X41,X43,X42) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
fof(c_0_28,negated_conjecture,
( circle(esk4_0,esk1_0,esk2_0,esk3_0)
& circle(esk4_0,esk1_0,esk5_0,esk12_0)
& perp(esk6_0,esk5_0,esk1_0,esk3_0)
& coll(esk6_0,esk1_0,esk3_0)
& perp(esk7_0,esk5_0,esk1_0,esk2_0)
& coll(esk7_0,esk1_0,esk2_0)
& circle(esk4_0,esk1_0,esk8_0,esk13_0)
& perp(esk9_0,esk8_0,esk1_0,esk3_0)
& coll(esk9_0,esk1_0,esk3_0)
& perp(esk10_0,esk8_0,esk1_0,esk2_0)
& coll(esk10_0,esk1_0,esk2_0)
& para(esk6_0,esk7_0,esk11_0,esk8_0)
& circle(esk4_0,esk1_0,esk11_0,esk14_0)
& ~ para(esk11_0,esk5_0,esk10_0,esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_29,plain,
! [X48,X49,X50,X51,X52,X53] :
( ~ para(X48,X49,X50,X51)
| ~ para(X50,X51,X52,X53)
| para(X48,X49,X52,X53) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).
cnf(c_0_30,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,negated_conjecture,
para(esk6_0,esk7_0,esk11_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_32,plain,
! [X44,X45,X46,X47] :
( ~ para(X44,X45,X46,X47)
| para(X46,X47,X44,X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
fof(c_0_33,plain,
! [X301,X302,X303,X304,X305,X306,X307,X308] :
( ~ eqangle(X301,X302,X303,X304,X305,X306,X307,X308)
| eqangle(X303,X304,X301,X302,X307,X308,X305,X306) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_34,plain,
! [X72,X73,X74,X75,X76,X77] :
( ~ para(X72,X73,X74,X75)
| eqangle(X72,X73,X76,X77,X74,X75,X76,X77) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_35,plain,
( para(X1,X2,X5,X6)
| ~ para(X1,X2,X3,X4)
| ~ para(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
para(esk6_0,esk7_0,esk8_0,esk11_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_38,plain,
! [X66,X67,X68,X69,X70,X71] :
( ~ eqangle(X66,X67,X70,X71,X68,X69,X70,X71)
| para(X66,X67,X68,X69) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_39,plain,
( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( para(X1,X2,esk8_0,esk11_0)
| ~ para(X1,X2,esk6_0,esk7_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
para(esk11_0,esk8_0,esk6_0,esk7_0),
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
cnf(c_0_43,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
para(esk11_0,esk8_0,esk8_0,esk11_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_46,plain,
! [X98,X99,X100] :
( ~ para(X98,X99,X98,X100)
| coll(X98,X99,X100) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_47,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
para(esk11_0,esk8_0,esk11_0,esk8_0),
inference(spm,[status(thm)],[c_0_30,c_0_45]) ).
fof(c_0_49,plain,
! [X199,X200,X201] :
( ~ coll(X199,X200,X201)
| coll(X200,X199,X201) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_50,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_52,plain,
! [X196,X197,X198] :
( ~ coll(X196,X197,X198)
| coll(X196,X198,X197) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_53,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_55,plain,
! [X390,X391,X392,X393] :
( ~ eqangle(X392,X390,X392,X391,X393,X390,X393,X391)
| ~ coll(X392,X393,X391)
| cyclic(X390,X391,X392,X393) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_56,plain,
! [X202,X203,X204,X205] :
( ~ coll(X202,X203,X204)
| ~ coll(X202,X203,X205)
| coll(X204,X205,X202) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_57,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_58,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,plain,
( cyclic(X2,X3,X1,X4)
| ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ coll(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_60,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_61,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_62,plain,
! [X369,X370,X371,X372] :
( ~ cyclic(X369,X370,X371,X372)
| cyclic(X369,X371,X370,X372) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_63,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_40]) ).
cnf(c_0_64,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_61])]) ).
fof(c_0_65,plain,
! [X365,X366,X367,X368] :
( ~ cyclic(X365,X366,X367,X368)
| cyclic(X365,X366,X368,X367) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_66,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_67,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_51])]),c_0_64])]) ).
fof(c_0_68,plain,
! [X163,X164,X165,X166,X167] :
( ~ circle(X166,X163,X164,X165)
| ~ coll(X167,X164,X165)
| ~ eqangle(X163,X164,X163,X165,X166,X164,X166,X167)
| midp(X167,X164,X165) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_69,plain,
! [X382,X383,X384,X385] :
( ~ cyclic(X382,X383,X384,X385)
| eqangle(X384,X382,X384,X383,X385,X382,X385,X383) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_70,plain,
! [X373,X374,X375,X376] :
( ~ cyclic(X373,X374,X375,X376)
| cyclic(X374,X373,X375,X376) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_71,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_72,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,plain,
( midp(X5,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X5,X3,X4)
| ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_74,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_75,plain,
! [X377,X378,X379,X380,X381] :
( ~ cyclic(X377,X378,X379,X380)
| ~ cyclic(X377,X378,X379,X381)
| cyclic(X378,X379,X380,X381) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_76,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_77,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
fof(c_0_78,plain,
! [X83,X84,X85,X86,X87] :
( ~ midp(X86,X83,X84)
| ~ para(X86,X87,X84,X85)
| ~ coll(X87,X83,X85)
| midp(X87,X83,X85) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_79,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_81,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,plain,
( midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| ~ para(X1,X4,X3,X5)
| ~ coll(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_83,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_58])]) ).
cnf(c_0_84,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_81])]) ).
cnf(c_0_85,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_64])]) ).
cnf(c_0_86,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).
cnf(c_0_87,negated_conjecture,
circle(esk4_0,esk1_0,esk11_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_88,plain,
! [X340,X341,X342] :
( ~ midp(X342,X341,X340)
| midp(X342,X340,X341) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_89,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_85,c_0_51]) ).
cnf(c_0_90,negated_conjecture,
midp(esk14_0,esk11_0,esk14_0),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
fof(c_0_91,plain,
! [X109,X110,X111,X112,X113,X114,X115,X116] :
( ~ eqangle(X109,X110,X111,X112,X113,X114,X115,X116)
| ~ para(X113,X114,X115,X116)
| para(X109,X110,X111,X112) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_92,plain,
! [X337,X338,X339] :
( ~ cong(X339,X337,X339,X338)
| eqangle(X339,X337,X337,X338,X337,X338,X339,X338) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_93,plain,
! [X343,X344,X345] :
( ~ midp(X343,X344,X345)
| cong(X343,X344,X343,X345) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_94,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_95,negated_conjecture,
midp(X1,esk11_0,X1),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_96,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ para(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_97,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_98,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_99,negated_conjecture,
midp(X1,X1,esk11_0),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_100,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_101,negated_conjecture,
cong(X1,X1,X1,esk11_0),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
fof(c_0_102,plain,
! [X93,X94,X95,X96,X97] :
( ~ midp(X97,X93,X94)
| ~ para(X93,X95,X94,X96)
| ~ para(X93,X96,X94,X95)
| midp(X97,X95,X96) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_103,negated_conjecture,
para(X1,X1,X1,esk11_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_51])]) ).
cnf(c_0_104,plain,
( midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| ~ para(X2,X4,X3,X5)
| ~ para(X2,X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_105,negated_conjecture,
( midp(X1,X2,esk11_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_103]) ).
fof(c_0_106,plain,
! [X117,X118,X119,X120,X121,X122] :
( ( midp(esk15_6(X117,X118,X119,X120,X121,X122),X117,X120)
| ~ midp(X121,X117,X118)
| ~ midp(X122,X119,X120) )
& ( para(esk15_6(X117,X118,X119,X120,X121,X122),X121,X118,X120)
| ~ midp(X121,X117,X118)
| ~ midp(X122,X119,X120) )
& ( para(esk15_6(X117,X118,X119,X120,X121,X122),X122,X117,X119)
| ~ midp(X121,X117,X118)
| ~ midp(X122,X119,X120) ) ),
inference(distribute,[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_107,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_51]),c_0_51])]) ).
cnf(c_0_108,negated_conjecture,
midp(X1,esk11_0,esk11_0),
inference(spm,[status(thm)],[c_0_105,c_0_95]) ).
cnf(c_0_109,plain,
( para(esk15_6(X1,X2,X3,X4,X5,X6),X5,X2,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_110,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_111,plain,
( midp(X1,X2,X3)
| ~ midp(esk15_6(X4,X5,X6,X3,X1,X7),X2,X5)
| ~ midp(X7,X6,X3)
| ~ midp(X1,X4,X5)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_89,c_0_110]) ).
cnf(c_0_113,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_30,c_0_51]) ).
cnf(c_0_114,plain,
( midp(X1,X2,X3)
| ~ midp(esk15_6(X4,X5,X6,X3,X1,X7),X2,X5)
| ~ midp(X7,X6,X3)
| ~ midp(X1,X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_64])]) ).
cnf(c_0_115,negated_conjecture,
midp(X1,X2,esk11_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_112])]) ).
cnf(c_0_116,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_113]) ).
fof(c_0_117,plain,
! [X78,X79,X80,X81,X82] :
( ~ midp(X81,X78,X79)
| ~ midp(X82,X78,X80)
| para(X81,X82,X79,X80) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_118,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X4,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_115])]) ).
cnf(c_0_119,negated_conjecture,
midp(esk11_0,X1,X2),
inference(spm,[status(thm)],[c_0_116,c_0_115]) ).
cnf(c_0_120,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_121,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,negated_conjecture,
~ para(esk11_0,esk5_0,esk10_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_123,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121]),c_0_121])]) ).
cnf(c_0_124,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO629+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.15 % Command : run_E %s %d THM
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 2400
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Oct 3 06:59:38 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.52 Running first-order theorem proving
% 0.22/0.52 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/tmp/tmp.sNKuF5YbDf/E---3.1_23772.p
% 0.36/0.90 # Version: 3.1pre001
% 0.36/0.90 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.36/0.90 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.90 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.36/0.90 # Starting new_bool_3 with 300s (1) cores
% 0.36/0.90 # Starting new_bool_1 with 300s (1) cores
% 0.36/0.90 # Starting sh5l with 300s (1) cores
% 0.36/0.90 # new_bool_3 with pid 23851 completed with status 0
% 0.36/0.90 # Result found by new_bool_3
% 0.36/0.90 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.36/0.90 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.90 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.36/0.90 # Starting new_bool_3 with 300s (1) cores
% 0.36/0.90 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.36/0.90 # Search class: FGUSF-FFLM33-SFFFFFNN
% 0.36/0.90 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.36/0.90 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.90 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.36/0.90 # SAT001_MinMin_p005000_rr_RG with pid 23854 completed with status 0
% 0.36/0.90 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.36/0.90 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.36/0.90 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.90 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.36/0.90 # Starting new_bool_3 with 300s (1) cores
% 0.36/0.90 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.36/0.90 # Search class: FGUSF-FFLM33-SFFFFFNN
% 0.36/0.90 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.36/0.90 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.90 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.36/0.90 # Preprocessing time : 0.005 s
% 0.36/0.90 # Presaturation interreduction done
% 0.36/0.90
% 0.36/0.90 # Proof found!
% 0.36/0.90 # SZS status Theorem
% 0.36/0.90 # SZS output start CNFRefutation
% See solution above
% 0.36/0.90 # Parsed axioms : 95
% 0.36/0.90 # Removed by relevancy pruning/SinE : 21
% 0.36/0.90 # Initial clauses : 106
% 0.36/0.90 # Removed in clause preprocessing : 0
% 0.36/0.90 # Initial clauses in saturation : 106
% 0.36/0.90 # Processed clauses : 4463
% 0.36/0.90 # ...of these trivial : 697
% 0.36/0.90 # ...subsumed : 116
% 0.36/0.90 # ...remaining for further processing : 3650
% 0.36/0.90 # Other redundant clauses eliminated : 0
% 0.36/0.90 # Clauses deleted for lack of memory : 0
% 0.36/0.90 # Backward-subsumed : 10
% 0.36/0.90 # Backward-rewritten : 3297
% 0.36/0.90 # Generated clauses : 28483
% 0.36/0.90 # ...of the previous two non-redundant : 14167
% 0.36/0.90 # ...aggressively subsumed : 0
% 0.36/0.90 # Contextual simplify-reflections : 3
% 0.36/0.90 # Paramodulations : 28483
% 0.36/0.90 # Factorizations : 0
% 0.36/0.90 # NegExts : 0
% 0.36/0.90 # Equation resolutions : 0
% 0.36/0.90 # Total rewrite steps : 19608
% 0.36/0.90 # Propositional unsat checks : 0
% 0.36/0.90 # Propositional check models : 0
% 0.36/0.90 # Propositional check unsatisfiable : 0
% 0.36/0.90 # Propositional clauses : 0
% 0.36/0.90 # Propositional clauses after purity: 0
% 0.36/0.90 # Propositional unsat core size : 0
% 0.36/0.90 # Propositional preprocessing time : 0.000
% 0.36/0.90 # Propositional encoding time : 0.000
% 0.36/0.90 # Propositional solver time : 0.000
% 0.36/0.90 # Success case prop preproc time : 0.000
% 0.36/0.90 # Success case prop encoding time : 0.000
% 0.36/0.90 # Success case prop solver time : 0.000
% 0.36/0.90 # Current number of processed clauses : 238
% 0.36/0.90 # Positive orientable unit clauses : 107
% 0.36/0.90 # Positive unorientable unit clauses: 0
% 0.36/0.90 # Negative unit clauses : 0
% 0.36/0.90 # Non-unit-clauses : 131
% 0.36/0.90 # Current number of unprocessed clauses: 9243
% 0.36/0.90 # ...number of literals in the above : 30211
% 0.36/0.90 # Current number of archived formulas : 0
% 0.36/0.90 # Current number of archived clauses : 3412
% 0.36/0.90 # Clause-clause subsumption calls (NU) : 181086
% 0.36/0.90 # Rec. Clause-clause subsumption calls : 173127
% 0.36/0.90 # Non-unit clause-clause subsumptions : 129
% 0.36/0.90 # Unit Clause-clause subsumption calls : 105803
% 0.36/0.90 # Rewrite failures with RHS unbound : 0
% 0.36/0.90 # BW rewrite match attempts : 20583
% 0.36/0.90 # BW rewrite match successes : 2432
% 0.36/0.90 # Condensation attempts : 0
% 0.36/0.90 # Condensation successes : 0
% 0.36/0.90 # Termbank termtop insertions : 299158
% 0.36/0.90
% 0.36/0.90 # -------------------------------------------------
% 0.36/0.90 # User time : 0.350 s
% 0.36/0.90 # System time : 0.016 s
% 0.36/0.90 # Total time : 0.366 s
% 0.36/0.90 # Maximum resident set size: 2372 pages
% 0.36/0.90
% 0.36/0.90 # -------------------------------------------------
% 0.36/0.90 # User time : 0.354 s
% 0.36/0.90 # System time : 0.018 s
% 0.36/0.90 # Total time : 0.372 s
% 0.36/0.90 # Maximum resident set size: 1876 pages
% 0.36/0.90 % E---3.1 exiting
% 0.36/0.91 % E---3.1 exiting
%------------------------------------------------------------------------------