TSTP Solution File: GEO611+1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GEO611+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 07:46:09 EDT 2024
% Result : Theorem 2.36s 0.81s
% Output : CNFRefutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 26
% Syntax : Number of formulae : 118 ( 27 unt; 0 def)
% Number of atoms : 272 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 250 ( 96 ~; 93 |; 34 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 448 ( 31 sgn 246 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL618073,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20] :
( ( circle(X4,X1,X2,X3)
& circle(X4,X1,X5,X19)
& perp(X6,X5,X1,X3)
& coll(X6,X1,X3)
& perp(X13,X5,X1,X2)
& coll(X13,X1,X2)
& circle(X4,X5,X14,X20)
& coll(X14,X5,X13) )
=> para(X13,X6,X14,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.bxOefr24IB/E---3.1_32648.p',exemplo6GDDFULL618073) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.p',ruleD5) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.bxOefr24IB/E---3.1_32648.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.bxOefr24IB/E---3.1_32648.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.p',ruleD45) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.p',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.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.bxOefr24IB/E---3.1_32648.p',ruleD44) ).
fof(c_0_26,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20] :
( ( circle(X4,X1,X2,X3)
& circle(X4,X1,X5,X19)
& perp(X6,X5,X1,X3)
& coll(X6,X1,X3)
& perp(X13,X5,X1,X2)
& coll(X13,X1,X2)
& circle(X4,X5,X14,X20)
& coll(X14,X5,X13) )
=> para(X13,X6,X14,X3) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618073]) ).
fof(c_0_27,plain,
! [X250,X251,X252,X253] :
( ~ perp(X250,X251,X252,X253)
| perp(X250,X251,X253,X252) ),
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)
& circle(esk4_0,esk1_0,esk5_0,esk9_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,esk5_0,esk8_0,esk10_0)
& coll(esk8_0,esk5_0,esk7_0)
& ~ para(esk7_0,esk6_0,esk8_0,esk3_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,
! [X254,X255,X256,X257] :
( ~ perp(X254,X255,X256,X257)
| perp(X256,X257,X254,X255) ),
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,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_32,plain,
! [X292,X293,X294,X295,X296,X297,X298,X299] :
( ~ eqangle(X292,X293,X294,X295,X296,X297,X298,X299)
| eqangle(X294,X295,X292,X293,X298,X299,X296,X297) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_33,plain,
! [X63,X64,X65,X66,X67,X68] :
( ~ para(X63,X64,X65,X66)
| eqangle(X63,X64,X67,X68,X65,X66,X67,X68) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
fof(c_0_34,plain,
! [X45,X46,X47,X48,X49,X50] :
( ~ perp(X45,X46,X47,X48)
| ~ perp(X47,X48,X49,X50)
| para(X45,X46,X49,X50) ),
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,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_37,plain,
! [X57,X58,X59,X60,X61,X62] :
( ~ eqangle(X57,X58,X61,X62,X59,X60,X61,X62)
| para(X57,X58,X59,X60) ),
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,
! [X35,X36,X37,X38] :
( ~ para(X35,X36,X37,X38)
| para(X37,X38,X35,X36) ),
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(esk2_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,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_47,plain,
! [X89,X90,X91] :
( ~ para(X89,X90,X89,X91)
| coll(X89,X90,X91) ),
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,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_50,plain,
! [X138,X139,X140] :
( ~ coll(X138,X139,X140)
| coll(X139,X138,X140) ),
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,
! [X135,X136,X137] :
( ~ coll(X135,X136,X137)
| coll(X135,X137,X136) ),
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,
! [X381,X382,X383,X384] :
( ~ eqangle(X383,X381,X383,X382,X384,X381,X384,X382)
| ~ coll(X383,X384,X382)
| cyclic(X381,X382,X383,X384) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
fof(c_0_57,plain,
! [X141,X142,X143,X144] :
( ~ coll(X141,X142,X143)
| ~ coll(X141,X142,X144)
| coll(X143,X144,X141) ),
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,
! [X360,X361,X362,X363] :
( ~ cyclic(X360,X361,X362,X363)
| cyclic(X360,X362,X361,X363) ),
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,
! [X356,X357,X358,X359] :
( ~ cyclic(X356,X357,X358,X359)
| cyclic(X356,X357,X359,X358) ),
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,
! [X217,X218,X219,X220,X221] :
( ~ circle(X220,X217,X218,X219)
| ~ coll(X221,X218,X219)
| ~ eqangle(X217,X218,X217,X219,X220,X218,X220,X221)
| midp(X221,X218,X219) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])])]) ).
fof(c_0_70,plain,
! [X373,X374,X375,X376] :
( ~ cyclic(X373,X374,X375,X376)
| eqangle(X375,X373,X375,X374,X376,X373,X376,X374) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).
fof(c_0_71,plain,
! [X364,X365,X366,X367] :
( ~ cyclic(X364,X365,X366,X367)
| cyclic(X365,X364,X366,X367) ),
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,
! [X368,X369,X370,X371,X372] :
( ~ cyclic(X368,X369,X370,X371)
| ~ cyclic(X368,X369,X370,X372)
| cyclic(X369,X370,X371,X372) ),
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,
! [X74,X75,X76,X77,X78] :
( ~ midp(X77,X74,X75)
| ~ para(X77,X78,X75,X76)
| ~ coll(X78,X74,X76)
| midp(X78,X74,X76) ),
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,esk5_0,esk8_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_89,plain,
! [X331,X332,X333] :
( ~ midp(X333,X332,X331)
| midp(X333,X331,X332) ),
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(esk10_0,esk8_0,esk10_0),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
fof(c_0_92,plain,
! [X100,X101,X102,X103,X104,X105,X106,X107] :
( ~ eqangle(X100,X101,X102,X103,X104,X105,X106,X107)
| ~ para(X104,X105,X106,X107)
| para(X100,X101,X102,X103) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_93,plain,
! [X328,X329,X330] :
( ~ cong(X330,X328,X330,X329)
| eqangle(X330,X328,X328,X329,X328,X329,X330,X329) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
fof(c_0_94,plain,
! [X334,X335,X336] :
( ~ midp(X334,X335,X336)
| cong(X334,X335,X334,X336) ),
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,esk8_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,esk8_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,esk8_0),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
fof(c_0_103,plain,
! [X84,X85,X86,X87,X88] :
( ~ midp(X88,X84,X85)
| ~ para(X84,X86,X85,X87)
| ~ para(X84,X87,X85,X86)
| midp(X88,X86,X87) ),
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,esk8_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,esk8_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,esk8_0,esk8_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,
! [X69,X70,X71,X72,X73] :
( ~ midp(X72,X69,X70)
| ~ midp(X73,X69,X71)
| para(X72,X73,X70,X71) ),
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,esk8_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,esk8_0,X2),
inference(spm,[status(thm)],[c_0_95,c_0_112]) ).
cnf(c_0_115,negated_conjecture,
~ para(esk7_0,esk6_0,esk8_0,esk3_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
% 0.07/0.12 % Problem : GEO611+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 18:29:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.bxOefr24IB/E---3.1_32648.p
% 2.36/0.81 # Version: 3.1.0
% 2.36/0.81 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.36/0.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.36/0.81 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.36/0.81 # Starting new_bool_3 with 300s (1) cores
% 2.36/0.81 # Starting new_bool_1 with 300s (1) cores
% 2.36/0.81 # Starting sh5l with 300s (1) cores
% 2.36/0.81 # new_bool_3 with pid 32726 completed with status 0
% 2.36/0.81 # Result found by new_bool_3
% 2.36/0.81 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.36/0.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.36/0.81 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.36/0.81 # Starting new_bool_3 with 300s (1) cores
% 2.36/0.81 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.36/0.81 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.36/0.81 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.36/0.81 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.36/0.81 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.36/0.81 # SAT001_MinMin_p005000_rr_RG with pid 32730 completed with status 0
% 2.36/0.81 # Result found by SAT001_MinMin_p005000_rr_RG
% 2.36/0.81 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.36/0.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.36/0.81 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.36/0.81 # Starting new_bool_3 with 300s (1) cores
% 2.36/0.81 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.36/0.81 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.36/0.81 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.36/0.81 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.36/0.81 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.36/0.81 # Preprocessing time : 0.002 s
% 2.36/0.81 # Presaturation interreduction done
% 2.36/0.81
% 2.36/0.81 # Proof found!
% 2.36/0.81 # SZS status Theorem
% 2.36/0.81 # SZS output start CNFRefutation
% See solution above
% 2.36/0.81 # Parsed axioms : 95
% 2.36/0.81 # Removed by relevancy pruning/SinE : 21
% 2.36/0.81 # Initial clauses : 101
% 2.36/0.81 # Removed in clause preprocessing : 0
% 2.36/0.81 # Initial clauses in saturation : 101
% 2.36/0.81 # Processed clauses : 3288
% 2.36/0.81 # ...of these trivial : 480
% 2.36/0.81 # ...subsumed : 123
% 2.36/0.81 # ...remaining for further processing : 2685
% 2.36/0.81 # Other redundant clauses eliminated : 0
% 2.36/0.81 # Clauses deleted for lack of memory : 0
% 2.36/0.81 # Backward-subsumed : 28
% 2.36/0.81 # Backward-rewritten : 2374
% 2.36/0.81 # Generated clauses : 18743
% 2.36/0.81 # ...of the previous two non-redundant : 10628
% 2.36/0.81 # ...aggressively subsumed : 0
% 2.36/0.81 # Contextual simplify-reflections : 21
% 2.36/0.81 # Paramodulations : 18743
% 2.36/0.81 # Factorizations : 0
% 2.36/0.81 # NegExts : 0
% 2.36/0.81 # Equation resolutions : 0
% 2.36/0.81 # Disequality decompositions : 0
% 2.36/0.81 # Total rewrite steps : 11899
% 2.36/0.81 # ...of those cached : 8943
% 2.36/0.81 # Propositional unsat checks : 0
% 2.36/0.81 # Propositional check models : 0
% 2.36/0.81 # Propositional check unsatisfiable : 0
% 2.36/0.81 # Propositional clauses : 0
% 2.36/0.81 # Propositional clauses after purity: 0
% 2.36/0.81 # Propositional unsat core size : 0
% 2.36/0.81 # Propositional preprocessing time : 0.000
% 2.36/0.81 # Propositional encoding time : 0.000
% 2.36/0.81 # Propositional solver time : 0.000
% 2.36/0.81 # Success case prop preproc time : 0.000
% 2.36/0.81 # Success case prop encoding time : 0.000
% 2.36/0.81 # Success case prop solver time : 0.000
% 2.36/0.81 # Current number of processed clauses : 183
% 2.36/0.81 # Positive orientable unit clauses : 88
% 2.36/0.81 # Positive unorientable unit clauses: 0
% 2.36/0.81 # Negative unit clauses : 0
% 2.36/0.81 # Non-unit-clauses : 95
% 2.36/0.81 # Current number of unprocessed clauses: 7141
% 2.36/0.81 # ...number of literals in the above : 22953
% 2.36/0.81 # Current number of archived formulas : 0
% 2.36/0.81 # Current number of archived clauses : 2502
% 2.36/0.81 # Clause-clause subsumption calls (NU) : 185325
% 2.36/0.81 # Rec. Clause-clause subsumption calls : 167379
% 2.36/0.81 # Non-unit clause-clause subsumptions : 172
% 2.36/0.81 # Unit Clause-clause subsumption calls : 86016
% 2.36/0.81 # Rewrite failures with RHS unbound : 0
% 2.36/0.81 # BW rewrite match attempts : 13676
% 2.36/0.81 # BW rewrite match successes : 1715
% 2.36/0.81 # Condensation attempts : 0
% 2.36/0.81 # Condensation successes : 0
% 2.36/0.81 # Termbank termtop insertions : 210678
% 2.36/0.81 # Search garbage collected termcells : 2584
% 2.36/0.81
% 2.36/0.81 # -------------------------------------------------
% 2.36/0.81 # User time : 0.281 s
% 2.36/0.81 # System time : 0.014 s
% 2.36/0.81 # Total time : 0.296 s
% 2.36/0.81 # Maximum resident set size: 2360 pages
% 2.36/0.81
% 2.36/0.81 # -------------------------------------------------
% 2.36/0.81 # User time : 0.285 s
% 2.36/0.81 # System time : 0.016 s
% 2.36/0.81 # Total time : 0.301 s
% 2.36/0.81 # Maximum resident set size: 1896 pages
% 2.36/0.81 % E---3.1 exiting
%------------------------------------------------------------------------------