TSTP Solution File: GEO609+1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GEO609+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 : 300s
% WCLimit : 300s
% DateTime : Sat May 4 07:43:33 EDT 2024
% Result : Theorem 2.53s 0.75s
% Output : CNFRefutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 26
% Syntax : Number of formulae : 118 ( 27 unt; 0 def)
% Number of atoms : 269 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 247 ( 96 ~; 93 |; 31 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 444 ( 31 sgn 242 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL618071,conjecture,
! [X1,X2,X3,X8,X5,X6,X13,X19] :
( ( circle(X8,X1,X2,X3)
& para(X2,X3,X5,X1)
& circle(X8,X1,X5,X19)
& perp(X6,X5,X1,X2)
& coll(X6,X1,X2)
& perp(X13,X5,X1,X3)
& coll(X13,X1,X3) )
=> para(X6,X13,X1,X8) ),
file('/export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',exemplo6GDDFULL618071) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',ruleD7) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',ruleD8) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.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/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',ruleD40) ).
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/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',ruleD9) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',ruleD39) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',ruleD5) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.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/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',ruleD42b) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',ruleD3) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.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/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.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/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',ruleD41) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.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/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.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/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',ruleD45) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.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/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.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/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.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/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',ruleD64) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p',ruleD44) ).
fof(c_0_26,negated_conjecture,
~ ! [X1,X2,X3,X8,X5,X6,X13,X19] :
( ( circle(X8,X1,X2,X3)
& para(X2,X3,X5,X1)
& circle(X8,X1,X5,X19)
& perp(X6,X5,X1,X2)
& coll(X6,X1,X2)
& perp(X13,X5,X1,X3)
& coll(X13,X1,X3) )
=> para(X6,X13,X1,X8) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618071]) ).
fof(c_0_27,plain,
! [X195,X196,X197,X198] :
( ~ perp(X195,X196,X197,X198)
| perp(X195,X196,X198,X197) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])])]) ).
fof(c_0_28,negated_conjecture,
( circle(esk4_0,esk1_0,esk2_0,esk3_0)
& para(esk2_0,esk3_0,esk5_0,esk1_0)
& circle(esk4_0,esk1_0,esk5_0,esk8_0)
& perp(esk6_0,esk5_0,esk1_0,esk2_0)
& coll(esk6_0,esk1_0,esk2_0)
& perp(esk7_0,esk5_0,esk1_0,esk3_0)
& coll(esk7_0,esk1_0,esk3_0)
& ~ para(esk6_0,esk7_0,esk1_0,esk4_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_29,plain,
! [X199,X200,X201,X202] :
( ~ perp(X199,X200,X201,X202)
| perp(X201,X202,X199,X200) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
cnf(c_0_30,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,negated_conjecture,
perp(esk7_0,esk5_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_32,plain,
! [X289,X290,X291,X292,X293,X294,X295,X296] :
( ~ eqangle(X289,X290,X291,X292,X293,X294,X295,X296)
| eqangle(X291,X292,X289,X290,X295,X296,X293,X294) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_33,plain,
! [X60,X61,X62,X63,X64,X65] :
( ~ para(X60,X61,X62,X63)
| eqangle(X60,X61,X64,X65,X62,X63,X64,X65) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
fof(c_0_34,plain,
! [X42,X43,X44,X45,X46,X47] :
( ~ perp(X42,X43,X44,X45)
| ~ perp(X44,X45,X46,X47)
| para(X42,X43,X46,X47) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
cnf(c_0_35,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
perp(esk7_0,esk5_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_37,plain,
! [X54,X55,X56,X57,X58,X59] :
( ~ eqangle(X54,X55,X58,X59,X56,X57,X58,X59)
| para(X54,X55,X56,X57) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_38,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_32]) ).
cnf(c_0_39,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_40,plain,
! [X32,X33,X34,X35] :
( ~ para(X32,X33,X34,X35)
| para(X34,X35,X32,X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
cnf(c_0_41,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,negated_conjecture,
perp(esk3_0,esk1_0,esk7_0,esk5_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
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_37]) ).
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_38,c_0_39]) ).
cnf(c_0_45,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,negated_conjecture,
( para(X1,X2,esk7_0,esk5_0)
| ~ perp(X1,X2,esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_47,plain,
! [X86,X87,X88] :
( ~ para(X86,X87,X86,X88)
| coll(X86,X87,X88) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_48,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
( para(esk7_0,esk5_0,X1,X2)
| ~ perp(X1,X2,esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_50,plain,
! [X135,X136,X137] :
( ~ coll(X135,X136,X137)
| coll(X136,X135,X137) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_51,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_36])]) ).
fof(c_0_53,plain,
! [X132,X133,X134] :
( ~ coll(X132,X133,X134)
| coll(X132,X134,X133) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_54,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_55,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_56,plain,
! [X378,X379,X380,X381] :
( ~ eqangle(X380,X378,X380,X379,X381,X378,X381,X379)
| ~ coll(X380,X381,X379)
| cyclic(X378,X379,X380,X381) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
fof(c_0_57,plain,
! [X138,X139,X140,X141] :
( ~ coll(X138,X139,X140)
| ~ coll(X138,X139,X141)
| coll(X140,X141,X138) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_58,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,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_56]) ).
cnf(c_0_61,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_63,plain,
! [X357,X358,X359,X360] :
( ~ cyclic(X357,X358,X359,X360)
| cyclic(X357,X359,X358,X360) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).
cnf(c_0_64,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_39]) ).
cnf(c_0_65,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_62])]) ).
fof(c_0_66,plain,
! [X353,X354,X355,X356] :
( ~ cyclic(X353,X354,X355,X356)
| cyclic(X353,X354,X356,X355) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).
cnf(c_0_67,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_52])]),c_0_65])]) ).
fof(c_0_69,plain,
! [X248,X249,X250,X251,X252] :
( ~ circle(X251,X248,X249,X250)
| ~ coll(X252,X249,X250)
| ~ eqangle(X248,X249,X248,X250,X251,X249,X251,X252)
| midp(X252,X249,X250) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])])]) ).
fof(c_0_70,plain,
! [X370,X371,X372,X373] :
( ~ cyclic(X370,X371,X372,X373)
| eqangle(X372,X370,X372,X371,X373,X370,X373,X371) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).
fof(c_0_71,plain,
! [X361,X362,X363,X364] :
( ~ cyclic(X361,X362,X363,X364)
| cyclic(X362,X361,X363,X364) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).
cnf(c_0_72,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_73,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,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_69]) ).
cnf(c_0_75,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
fof(c_0_76,plain,
! [X365,X366,X367,X368,X369] :
( ~ cyclic(X365,X366,X367,X368)
| ~ cyclic(X365,X366,X367,X369)
| cyclic(X366,X367,X368,X369) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_77,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_78,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
fof(c_0_79,plain,
! [X71,X72,X73,X74,X75] :
( ~ midp(X74,X71,X72)
| ~ para(X74,X75,X72,X73)
| ~ coll(X75,X71,X73)
| midp(X75,X71,X73) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_80,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_74,c_0_75]) ).
cnf(c_0_81,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_83,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_79]) ).
cnf(c_0_84,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_80,c_0_59])]) ).
cnf(c_0_85,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_82])]) ).
cnf(c_0_86,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_65])]) ).
cnf(c_0_87,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]) ).
cnf(c_0_88,negated_conjecture,
circle(esk4_0,esk1_0,esk5_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_89,plain,
! [X328,X329,X330] :
( ~ midp(X330,X329,X328)
| midp(X330,X328,X329) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
cnf(c_0_90,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_86,c_0_52]) ).
cnf(c_0_91,negated_conjecture,
midp(esk8_0,esk5_0,esk8_0),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
fof(c_0_92,plain,
! [X97,X98,X99,X100,X101,X102,X103,X104] :
( ~ eqangle(X97,X98,X99,X100,X101,X102,X103,X104)
| ~ para(X101,X102,X103,X104)
| para(X97,X98,X99,X100) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_93,plain,
! [X325,X326,X327] :
( ~ cong(X327,X325,X327,X326)
| eqangle(X327,X325,X325,X326,X325,X326,X327,X326) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
fof(c_0_94,plain,
! [X331,X332,X333] :
( ~ midp(X331,X332,X333)
| cong(X331,X332,X331,X333) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_95,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_96,negated_conjecture,
midp(X1,esk5_0,X1),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_97,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_92]) ).
cnf(c_0_98,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_99,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_100,negated_conjecture,
midp(X1,X1,esk5_0),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
cong(X1,X1,X1,esk5_0),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
fof(c_0_103,plain,
! [X81,X82,X83,X84,X85] :
( ~ midp(X85,X81,X82)
| ~ para(X81,X83,X82,X84)
| ~ para(X81,X84,X82,X83)
| midp(X85,X83,X84) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_104,negated_conjecture,
para(X1,X1,X1,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_52])]) ).
cnf(c_0_105,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_103]) ).
cnf(c_0_106,negated_conjecture,
( midp(X1,X2,esk5_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_104]) ).
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_105,c_0_52]),c_0_52])]) ).
cnf(c_0_108,negated_conjecture,
midp(X1,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_106,c_0_96]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_110,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_90,c_0_109]) ).
fof(c_0_111,plain,
! [X66,X67,X68,X69,X70] :
( ~ midp(X69,X66,X67)
| ~ midp(X70,X66,X68)
| para(X69,X70,X67,X68) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).
cnf(c_0_112,negated_conjecture,
midp(X1,X2,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_110])]) ).
cnf(c_0_113,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_114,negated_conjecture,
midp(X1,esk5_0,X2),
inference(spm,[status(thm)],[c_0_95,c_0_112]) ).
cnf(c_0_115,negated_conjecture,
~ para(esk6_0,esk7_0,esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_116,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_114])]) ).
cnf(c_0_117,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_116])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GEO609+1 : TPTP v8.1.2. Released v7.5.0.
% 0.05/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 18:35:38 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.VPZvYTnLUq/E---3.1_19335.p
% 2.53/0.75 # Version: 3.1.0
% 2.53/0.75 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.53/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.53/0.75 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.53/0.75 # Starting new_bool_3 with 300s (1) cores
% 2.53/0.75 # Starting new_bool_1 with 300s (1) cores
% 2.53/0.75 # Starting sh5l with 300s (1) cores
% 2.53/0.75 # new_bool_1 with pid 19415 completed with status 0
% 2.53/0.75 # Result found by new_bool_1
% 2.53/0.75 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.53/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.53/0.75 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.53/0.75 # Starting new_bool_3 with 300s (1) cores
% 2.53/0.75 # Starting new_bool_1 with 300s (1) cores
% 2.53/0.75 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.53/0.75 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.53/0.75 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.53/0.75 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.53/0.75 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.53/0.75 # SAT001_MinMin_p005000_rr_RG with pid 19417 completed with status 0
% 2.53/0.75 # Result found by SAT001_MinMin_p005000_rr_RG
% 2.53/0.75 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.53/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.53/0.75 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.53/0.75 # Starting new_bool_3 with 300s (1) cores
% 2.53/0.75 # Starting new_bool_1 with 300s (1) cores
% 2.53/0.75 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.53/0.75 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.53/0.75 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.53/0.75 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.53/0.75 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.53/0.75 # Preprocessing time : 0.002 s
% 2.53/0.75 # Presaturation interreduction done
% 2.53/0.75
% 2.53/0.75 # Proof found!
% 2.53/0.75 # SZS status Theorem
% 2.53/0.75 # SZS output start CNFRefutation
% See solution above
% 2.53/0.75 # Parsed axioms : 95
% 2.53/0.75 # Removed by relevancy pruning/SinE : 21
% 2.53/0.75 # Initial clauses : 100
% 2.53/0.75 # Removed in clause preprocessing : 0
% 2.53/0.75 # Initial clauses in saturation : 100
% 2.53/0.75 # Processed clauses : 2924
% 2.53/0.75 # ...of these trivial : 232
% 2.53/0.75 # ...subsumed : 410
% 2.53/0.75 # ...remaining for further processing : 2282
% 2.53/0.75 # Other redundant clauses eliminated : 0
% 2.53/0.75 # Clauses deleted for lack of memory : 0
% 2.53/0.75 # Backward-subsumed : 60
% 2.53/0.75 # Backward-rewritten : 1950
% 2.53/0.75 # Generated clauses : 15133
% 2.53/0.75 # ...of the previous two non-redundant : 10396
% 2.53/0.75 # ...aggressively subsumed : 0
% 2.53/0.75 # Contextual simplify-reflections : 9
% 2.53/0.75 # Paramodulations : 15133
% 2.53/0.75 # Factorizations : 0
% 2.53/0.75 # NegExts : 0
% 2.53/0.75 # Equation resolutions : 0
% 2.53/0.75 # Disequality decompositions : 0
% 2.53/0.75 # Total rewrite steps : 7987
% 2.53/0.75 # ...of those cached : 5766
% 2.53/0.75 # Propositional unsat checks : 0
% 2.53/0.75 # Propositional check models : 0
% 2.53/0.75 # Propositional check unsatisfiable : 0
% 2.53/0.75 # Propositional clauses : 0
% 2.53/0.75 # Propositional clauses after purity: 0
% 2.53/0.75 # Propositional unsat core size : 0
% 2.53/0.75 # Propositional preprocessing time : 0.000
% 2.53/0.75 # Propositional encoding time : 0.000
% 2.53/0.75 # Propositional solver time : 0.000
% 2.53/0.75 # Success case prop preproc time : 0.000
% 2.53/0.75 # Success case prop encoding time : 0.000
% 2.53/0.75 # Success case prop solver time : 0.000
% 2.53/0.75 # Current number of processed clauses : 173
% 2.53/0.75 # Positive orientable unit clauses : 79
% 2.53/0.75 # Positive unorientable unit clauses: 0
% 2.53/0.75 # Negative unit clauses : 0
% 2.53/0.75 # Non-unit-clauses : 94
% 2.53/0.75 # Current number of unprocessed clauses: 7575
% 2.53/0.75 # ...number of literals in the above : 21754
% 2.53/0.75 # Current number of archived formulas : 0
% 2.53/0.75 # Current number of archived clauses : 2109
% 2.53/0.75 # Clause-clause subsumption calls (NU) : 124847
% 2.53/0.75 # Rec. Clause-clause subsumption calls : 116598
% 2.53/0.75 # Non-unit clause-clause subsumptions : 450
% 2.53/0.75 # Unit Clause-clause subsumption calls : 143531
% 2.53/0.75 # Rewrite failures with RHS unbound : 0
% 2.53/0.75 # BW rewrite match attempts : 9331
% 2.53/0.75 # BW rewrite match successes : 1393
% 2.53/0.75 # Condensation attempts : 0
% 2.53/0.75 # Condensation successes : 0
% 2.53/0.75 # Termbank termtop insertions : 170410
% 2.53/0.75 # Search garbage collected termcells : 2569
% 2.53/0.75
% 2.53/0.75 # -------------------------------------------------
% 2.53/0.75 # User time : 0.281 s
% 2.53/0.75 # System time : 0.012 s
% 2.53/0.75 # Total time : 0.293 s
% 2.53/0.75 # Maximum resident set size: 2352 pages
% 2.53/0.75
% 2.53/0.75 # -------------------------------------------------
% 2.53/0.75 # User time : 0.285 s
% 2.53/0.75 # System time : 0.014 s
% 2.53/0.75 # Total time : 0.299 s
% 2.53/0.75 # Maximum resident set size: 1892 pages
% 2.53/0.75 % E---3.1 exiting
% 2.53/0.75 % E exiting
%------------------------------------------------------------------------------