TSTP Solution File: GEO586+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO586+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 17:33:05 EDT 2023
% Result : Theorem 0.79s 0.72s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 30
% Syntax : Number of formulae : 144 ( 35 unt; 0 def)
% Number of atoms : 309 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 277 ( 112 ~; 109 |; 25 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 546 ( 42 sgn; 280 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.kXoEvdpwBR/E---3.1_30497.p',ruleD9) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox/tmp/tmp.kXoEvdpwBR/E---3.1_30497.p',ruleX11) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.kXoEvdpwBR/E---3.1_30497.p',ruleD8) ).
fof(exemplo6GDDFULL416048,conjecture,
! [X1,X2,X3,X8,X4,X5,X19,X20] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X4,X20)
& coll(X5,X1,X3)
& coll(X5,X2,X4)
& circle(X19,X1,X2,X5) )
=> perp(X19,X5,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.kXoEvdpwBR/E---3.1_30497.p',exemplo6GDDFULL416048) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.kXoEvdpwBR/E---3.1_30497.p',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/tmp/tmp.kXoEvdpwBR/E---3.1_30497.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.kXoEvdpwBR/E---3.1_30497.p',ruleD40) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.kXoEvdpwBR/E---3.1_30497.p',ruleD5) ).
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.kXoEvdpwBR/E---3.1_30497.p',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.kXoEvdpwBR/E---3.1_30497.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.kXoEvdpwBR/E---3.1_30497.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.kXoEvdpwBR/E---3.1_30497.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.kXoEvdpwBR/E---3.1_30497.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.kXoEvdpwBR/E---3.1_30497.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.kXoEvdpwBR/E---3.1_30497.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.kXoEvdpwBR/E---3.1_30497.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.kXoEvdpwBR/E---3.1_30497.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.kXoEvdpwBR/E---3.1_30497.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.kXoEvdpwBR/E---3.1_30497.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.kXoEvdpwBR/E---3.1_30497.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.kXoEvdpwBR/E---3.1_30497.p',ruleD45) ).
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/tmp/tmp.kXoEvdpwBR/E---3.1_30497.p',ruleD20) ).
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.kXoEvdpwBR/E---3.1_30497.p',ruleD46) ).
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.kXoEvdpwBR/E---3.1_30497.p',ruleD73) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.kXoEvdpwBR/E---3.1_30497.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.kXoEvdpwBR/E---3.1_30497.p',ruleD64) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.kXoEvdpwBR/E---3.1_30497.p',ruleD11) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.kXoEvdpwBR/E---3.1_30497.p',ruleD23) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.kXoEvdpwBR/E---3.1_30497.p',ruleD24) ).
fof(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/tmp/tmp.kXoEvdpwBR/E---3.1_30497.p',ruleD56) ).
fof(c_0_30,plain,
! [X37,X38,X39,X40,X41,X42] :
( ~ perp(X37,X38,X39,X40)
| ~ perp(X39,X40,X41,X42)
| para(X37,X38,X41,X42) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_31,plain,
! [X148,X149,X150,X151] :
( ~ circle(X151,X148,X149,X150)
| perp(esk18_4(X148,X149,X150,X151),X148,X148,X151) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_32,plain,
! [X33,X34,X35,X36] :
( ~ perp(X33,X34,X35,X36)
| perp(X35,X36,X33,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_33,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
( perp(esk18_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_36,negated_conjecture,
~ ! [X1,X2,X3,X8,X4,X5,X19,X20] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X4,X20)
& coll(X5,X1,X3)
& coll(X5,X2,X4)
& circle(X19,X1,X2,X5) )
=> perp(X19,X5,X3,X4) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416048]) ).
cnf(c_0_37,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk18_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
( perp(X1,X2,esk18_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
fof(c_0_39,negated_conjecture,
( circle(esk4_0,esk1_0,esk2_0,esk3_0)
& circle(esk4_0,esk1_0,esk5_0,esk8_0)
& coll(esk6_0,esk1_0,esk3_0)
& coll(esk6_0,esk2_0,esk5_0)
& circle(esk7_0,esk1_0,esk2_0,esk6_0)
& ~ perp(esk7_0,esk6_0,esk3_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
fof(c_0_40,plain,
! [X226,X227,X228,X229] :
( ~ para(X226,X227,X228,X229)
| para(X226,X227,X229,X228) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_41,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
circle(esk7_0,esk1_0,esk2_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_43,plain,
! [X313,X314,X315,X316,X317,X318,X319,X320] :
( ~ eqangle(X313,X314,X315,X316,X317,X318,X319,X320)
| eqangle(X315,X316,X313,X314,X319,X320,X317,X318) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_44,plain,
! [X246,X247,X248,X249,X250,X251] :
( ~ para(X246,X247,X248,X249)
| eqangle(X246,X247,X250,X251,X248,X249,X250,X251) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_45,plain,
! [X230,X231,X232,X233] :
( ~ para(X230,X231,X232,X233)
| para(X232,X233,X230,X231) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_46,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,negated_conjecture,
para(esk1_0,esk7_0,esk1_0,esk7_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_48,plain,
! [X240,X241,X242,X243,X244,X245] :
( ~ eqangle(X240,X241,X244,X245,X242,X243,X244,X245)
| para(X240,X241,X242,X243) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_49,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_43]) ).
cnf(c_0_50,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,negated_conjecture,
para(esk1_0,esk7_0,esk7_0,esk1_0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
para(esk7_0,esk1_0,esk1_0,esk7_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_56,plain,
! [X190,X191,X192] :
( ~ para(X190,X191,X190,X192)
| coll(X190,X191,X192) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_57,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
para(esk7_0,esk1_0,esk7_0,esk1_0),
inference(spm,[status(thm)],[c_0_46,c_0_55]) ).
fof(c_0_59,plain,
! [X175,X176,X177] :
( ~ coll(X175,X176,X177)
| coll(X176,X175,X177) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_60,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_61,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_62,plain,
! [X172,X173,X174] :
( ~ coll(X172,X173,X174)
| coll(X172,X174,X173) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_63,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_64,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
fof(c_0_65,plain,
! [X379,X380,X381,X382] :
( ~ eqangle(X381,X379,X381,X380,X382,X379,X382,X380)
| ~ coll(X381,X382,X380)
| cyclic(X379,X380,X381,X382) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_66,plain,
! [X178,X179,X180,X181] :
( ~ coll(X178,X179,X180)
| ~ coll(X178,X179,X181)
| coll(X180,X181,X178) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_67,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_68,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,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_65]) ).
cnf(c_0_70,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
fof(c_0_72,plain,
! [X358,X359,X360,X361] :
( ~ cyclic(X358,X359,X360,X361)
| cyclic(X358,X360,X359,X361) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_73,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_50]) ).
cnf(c_0_74,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_71])]) ).
fof(c_0_75,plain,
! [X354,X355,X356,X357] :
( ~ cyclic(X354,X355,X356,X357)
| cyclic(X354,X355,X357,X356) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_76,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_77,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_61])]),c_0_74])]) ).
fof(c_0_78,plain,
! [X139,X140,X141,X142,X143] :
( ~ circle(X142,X139,X140,X141)
| ~ coll(X143,X140,X141)
| ~ eqangle(X139,X140,X139,X141,X142,X140,X142,X143)
| midp(X143,X140,X141) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_79,plain,
! [X371,X372,X373,X374] :
( ~ cyclic(X371,X372,X373,X374)
| eqangle(X373,X371,X373,X372,X374,X371,X374,X372) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_80,plain,
! [X362,X363,X364,X365] :
( ~ cyclic(X362,X363,X364,X365)
| cyclic(X363,X362,X364,X365) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_81,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,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_78]) ).
cnf(c_0_84,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
fof(c_0_85,plain,
! [X366,X367,X368,X369,X370] :
( ~ cyclic(X366,X367,X368,X369)
| ~ cyclic(X366,X367,X368,X370)
| cyclic(X367,X368,X369,X370) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_86,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_87,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
fof(c_0_88,plain,
! [X182,X183,X184,X185,X186] :
( ~ midp(X185,X182,X183)
| ~ para(X185,X186,X183,X184)
| ~ coll(X186,X182,X184)
| midp(X186,X182,X184) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_89,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_83,c_0_84]) ).
cnf(c_0_90,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_91,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,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_88]) ).
cnf(c_0_93,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_89,c_0_68])]) ).
cnf(c_0_94,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_91])]) ).
fof(c_0_95,plain,
! [X321,X322,X323,X324,X325,X326,X327,X328] :
( ~ eqangle(X321,X322,X323,X324,X325,X326,X327,X328)
| eqangle(X325,X326,X327,X328,X321,X322,X323,X324) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
fof(c_0_96,plain,
! [X296,X297,X298] :
( ~ cong(X298,X296,X298,X297)
| eqangle(X298,X296,X296,X297,X296,X297,X298,X297) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_97,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_74])]) ).
cnf(c_0_98,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]) ).
cnf(c_0_99,negated_conjecture,
circle(esk4_0,esk1_0,esk5_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_100,plain,
! [X267,X268,X269,X270,X271,X272,X273,X274] :
( ~ eqangle(X267,X268,X269,X270,X271,X272,X273,X274)
| ~ para(X271,X272,X273,X274)
| para(X267,X268,X269,X270) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_101,plain,
( eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_102,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
fof(c_0_103,plain,
! [X299,X300,X301] :
( ~ midp(X299,X300,X301)
| cong(X299,X300,X299,X301) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_104,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_61]) ).
cnf(c_0_105,negated_conjecture,
midp(esk8_0,esk5_0,esk8_0),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_106,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_100]) ).
cnf(c_0_107,plain,
( eqangle(X1,X2,X3,X2,X3,X1,X1,X2)
| ~ cong(X3,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,esk5_0,X1),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
fof(c_0_110,plain,
! [X262,X263,X264,X265,X266] :
( ~ midp(X266,X262,X263)
| ~ para(X262,X264,X263,X265)
| ~ para(X262,X265,X263,X264)
| midp(X266,X264,X265) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_111,plain,
( para(X1,X2,X3,X2)
| ~ cong(X3,X1,X3,X2)
| ~ para(X3,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_112,negated_conjecture,
cong(X1,esk5_0,X1,X1),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_113,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_46,c_0_61]) ).
cnf(c_0_114,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_110]) ).
cnf(c_0_115,negated_conjecture,
para(esk5_0,X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113])]) ).
cnf(c_0_116,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_61]),c_0_61])]) ).
cnf(c_0_117,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(esk5_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_115]) ).
cnf(c_0_118,negated_conjecture,
midp(esk5_0,X1,X1),
inference(spm,[status(thm)],[c_0_116,c_0_109]) ).
fof(c_0_119,plain,
! [X302,X303,X304] :
( ~ midp(X304,X303,X302)
| midp(X304,X302,X303) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_120,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_121,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_106,c_0_84]) ).
cnf(c_0_122,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_123,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_104,c_0_120]) ).
cnf(c_0_124,plain,
( para(X1,X2,X1,X3)
| ~ para(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_94])]) ).
cnf(c_0_125,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_102]) ).
cnf(c_0_126,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_127,plain,
( para(X1,X2,X1,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_128,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_108,c_0_126]) ).
cnf(c_0_129,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128])]) ).
fof(c_0_130,plain,
! [X282,X283,X284,X285] :
( ~ cong(X282,X283,X284,X285)
| cong(X282,X283,X285,X284) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_131,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_129]),c_0_123])]) ).
fof(c_0_132,plain,
! [X286,X287,X288,X289] :
( ~ cong(X286,X287,X288,X289)
| cong(X288,X289,X286,X287) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_133,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_134,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_131])]) ).
cnf(c_0_135,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_136,plain,
cong(X1,X2,X3,X1),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
fof(c_0_137,plain,
! [X57,X58,X59,X60] :
( ~ cong(X57,X59,X58,X59)
| ~ cong(X57,X60,X58,X60)
| perp(X57,X58,X59,X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_138,plain,
cong(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_139,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_140,plain,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_133,c_0_138]) ).
cnf(c_0_141,negated_conjecture,
~ perp(esk7_0,esk6_0,esk3_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_142,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140]),c_0_140])]) ).
cnf(c_0_143,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO586+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Oct 3 06:47:46 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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.kXoEvdpwBR/E---3.1_30497.p
% 0.79/0.72 # Version: 3.1pre001
% 0.79/0.72 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.79/0.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.79/0.72 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.79/0.72 # Starting new_bool_3 with 300s (1) cores
% 0.79/0.72 # Starting new_bool_1 with 300s (1) cores
% 0.79/0.72 # Starting sh5l with 300s (1) cores
% 0.79/0.72 # new_bool_3 with pid 30576 completed with status 0
% 0.79/0.72 # Result found by new_bool_3
% 0.79/0.72 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.79/0.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.79/0.72 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.79/0.72 # Starting new_bool_3 with 300s (1) cores
% 0.79/0.72 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.79/0.72 # Search class: FGUSF-FFLS33-SFFFFFNN
% 0.79/0.72 # partial match(1): FGUSF-FFLS32-SFFFFFNN
% 0.79/0.72 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.79/0.72 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.79/0.72 # SAT001_MinMin_p005000_rr_RG with pid 30579 completed with status 0
% 0.79/0.72 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.79/0.72 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.79/0.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.79/0.72 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.79/0.72 # Starting new_bool_3 with 300s (1) cores
% 0.79/0.72 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.79/0.72 # Search class: FGUSF-FFLS33-SFFFFFNN
% 0.79/0.72 # partial match(1): FGUSF-FFLS32-SFFFFFNN
% 0.79/0.72 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.79/0.72 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.79/0.72 # Preprocessing time : 0.003 s
% 0.79/0.72 # Presaturation interreduction done
% 0.79/0.72
% 0.79/0.72 # Proof found!
% 0.79/0.72 # SZS status Theorem
% 0.79/0.72 # SZS output start CNFRefutation
% See solution above
% 0.79/0.72 # Parsed axioms : 95
% 0.79/0.72 # Removed by relevancy pruning/SinE : 21
% 0.79/0.72 # Initial clauses : 98
% 0.79/0.72 # Removed in clause preprocessing : 0
% 0.79/0.72 # Initial clauses in saturation : 98
% 0.79/0.72 # Processed clauses : 2462
% 0.79/0.72 # ...of these trivial : 208
% 0.79/0.72 # ...subsumed : 149
% 0.79/0.72 # ...remaining for further processing : 2105
% 0.79/0.72 # Other redundant clauses eliminated : 0
% 0.79/0.72 # Clauses deleted for lack of memory : 0
% 0.79/0.72 # Backward-subsumed : 30
% 0.79/0.72 # Backward-rewritten : 1960
% 0.79/0.72 # Generated clauses : 13292
% 0.79/0.72 # ...of the previous two non-redundant : 8187
% 0.79/0.72 # ...aggressively subsumed : 0
% 0.79/0.72 # Contextual simplify-reflections : 10
% 0.79/0.72 # Paramodulations : 13292
% 0.79/0.72 # Factorizations : 0
% 0.79/0.72 # NegExts : 0
% 0.79/0.72 # Equation resolutions : 0
% 0.79/0.72 # Total rewrite steps : 8068
% 0.79/0.72 # Propositional unsat checks : 0
% 0.79/0.72 # Propositional check models : 0
% 0.79/0.72 # Propositional check unsatisfiable : 0
% 0.79/0.72 # Propositional clauses : 0
% 0.79/0.72 # Propositional clauses after purity: 0
% 0.79/0.72 # Propositional unsat core size : 0
% 0.79/0.72 # Propositional preprocessing time : 0.000
% 0.79/0.72 # Propositional encoding time : 0.000
% 0.79/0.72 # Propositional solver time : 0.000
% 0.79/0.72 # Success case prop preproc time : 0.000
% 0.79/0.72 # Success case prop encoding time : 0.000
% 0.79/0.72 # Success case prop solver time : 0.000
% 0.79/0.72 # Current number of processed clauses : 18
% 0.79/0.72 # Positive orientable unit clauses : 10
% 0.79/0.73 # Positive unorientable unit clauses: 0
% 0.79/0.73 # Negative unit clauses : 0
% 0.79/0.73 # Non-unit-clauses : 8
% 0.79/0.73 # Current number of unprocessed clauses: 5199
% 0.79/0.73 # ...number of literals in the above : 16584
% 0.79/0.73 # Current number of archived formulas : 0
% 0.79/0.73 # Current number of archived clauses : 2087
% 0.79/0.73 # Clause-clause subsumption calls (NU) : 105259
% 0.79/0.73 # Rec. Clause-clause subsumption calls : 97548
% 0.79/0.73 # Non-unit clause-clause subsumptions : 188
% 0.79/0.73 # Unit Clause-clause subsumption calls : 86341
% 0.79/0.73 # Rewrite failures with RHS unbound : 0
% 0.79/0.73 # BW rewrite match attempts : 11603
% 0.79/0.73 # BW rewrite match successes : 1547
% 0.79/0.73 # Condensation attempts : 0
% 0.79/0.73 # Condensation successes : 0
% 0.79/0.73 # Termbank termtop insertions : 153066
% 0.79/0.73
% 0.79/0.73 # -------------------------------------------------
% 0.79/0.73 # User time : 0.187 s
% 0.79/0.73 # System time : 0.011 s
% 0.79/0.73 # Total time : 0.198 s
% 0.79/0.73 # Maximum resident set size: 2348 pages
% 0.79/0.73
% 0.79/0.73 # -------------------------------------------------
% 0.79/0.73 # User time : 0.191 s
% 0.79/0.73 # System time : 0.012 s
% 0.79/0.73 # Total time : 0.204 s
% 0.79/0.73 # Maximum resident set size: 1876 pages
% 0.79/0.73 % E---3.1 exiting
% 0.79/0.73 % E---3.1 exiting
%------------------------------------------------------------------------------