TSTP Solution File: GEO573+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO573+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 17:35:16 EDT 2023
% Result : Theorem 1.90s 0.76s
% Output : CNFRefutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 26
% Syntax : Number of formulae : 124 ( 28 unt; 0 def)
% Number of atoms : 284 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 260 ( 100 ~; 97 |; 36 &)
% ( 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 : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 476 ( 30 sgn; 250 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL214035,conjecture,
! [X1,X2,X3,X8,X4,X5,X19,X14,X20] :
( ( circle(X8,X1,X2,X3)
& perp(X4,X3,X1,X2)
& coll(X4,X1,X2)
& perp(X5,X2,X1,X3)
& coll(X5,X1,X3)
& circle(X8,X3,X19,X20)
& coll(X19,X3,X4)
& coll(X14,X3,X4)
& coll(X14,X2,X5) )
=> cong(X1,X19,X1,X14) ),
file('/export/starexec/sandbox2/tmp/tmp.BavaQbrDkR/E---3.1_19748.p',exemplo6GDDFULL214035) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.BavaQbrDkR/E---3.1_19748.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.BavaQbrDkR/E---3.1_19748.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.BavaQbrDkR/E---3.1_19748.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.BavaQbrDkR/E---3.1_19748.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.BavaQbrDkR/E---3.1_19748.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.BavaQbrDkR/E---3.1_19748.p',ruleD5) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BavaQbrDkR/E---3.1_19748.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BavaQbrDkR/E---3.1_19748.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.BavaQbrDkR/E---3.1_19748.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.BavaQbrDkR/E---3.1_19748.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.BavaQbrDkR/E---3.1_19748.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.BavaQbrDkR/E---3.1_19748.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.BavaQbrDkR/E---3.1_19748.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.BavaQbrDkR/E---3.1_19748.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.BavaQbrDkR/E---3.1_19748.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.BavaQbrDkR/E---3.1_19748.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.BavaQbrDkR/E---3.1_19748.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.BavaQbrDkR/E---3.1_19748.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/sandbox2/tmp/tmp.BavaQbrDkR/E---3.1_19748.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/sandbox2/tmp/tmp.BavaQbrDkR/E---3.1_19748.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/sandbox2/tmp/tmp.BavaQbrDkR/E---3.1_19748.p',ruleD73) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BavaQbrDkR/E---3.1_19748.p',ruleD68) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BavaQbrDkR/E---3.1_19748.p',ruleD4) ).
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.BavaQbrDkR/E---3.1_19748.p',ruleD64) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.BavaQbrDkR/E---3.1_19748.p',ruleD11) ).
fof(c_0_26,negated_conjecture,
~ ! [X1,X2,X3,X8,X4,X5,X19,X14,X20] :
( ( circle(X8,X1,X2,X3)
& perp(X4,X3,X1,X2)
& coll(X4,X1,X2)
& perp(X5,X2,X1,X3)
& coll(X5,X1,X3)
& circle(X8,X3,X19,X20)
& coll(X19,X3,X4)
& coll(X14,X3,X4)
& coll(X14,X2,X5) )
=> cong(X1,X19,X1,X14) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214035]) ).
fof(c_0_27,plain,
! [X209,X210,X211,X212] :
( ~ perp(X209,X210,X211,X212)
| perp(X211,X212,X209,X210) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_28,negated_conjecture,
( circle(esk4_0,esk1_0,esk2_0,esk3_0)
& perp(esk5_0,esk3_0,esk1_0,esk2_0)
& coll(esk5_0,esk1_0,esk2_0)
& perp(esk6_0,esk2_0,esk1_0,esk3_0)
& coll(esk6_0,esk1_0,esk3_0)
& circle(esk4_0,esk3_0,esk7_0,esk9_0)
& coll(esk7_0,esk3_0,esk5_0)
& coll(esk8_0,esk3_0,esk5_0)
& coll(esk8_0,esk2_0,esk6_0)
& ~ cong(esk1_0,esk7_0,esk1_0,esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_29,plain,
! [X255,X256,X257,X258,X259,X260,X261,X262] :
( ~ eqangle(X255,X256,X257,X258,X259,X260,X261,X262)
| eqangle(X257,X258,X255,X256,X261,X262,X259,X260) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_30,plain,
! [X297,X298,X299,X300,X301,X302] :
( ~ para(X297,X298,X299,X300)
| eqangle(X297,X298,X301,X302,X299,X300,X301,X302) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_31,plain,
! [X213,X214,X215,X216,X217,X218] :
( ~ perp(X213,X214,X215,X216)
| ~ perp(X215,X216,X217,X218)
| para(X213,X214,X217,X218) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_32,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
perp(esk6_0,esk2_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_34,plain,
! [X291,X292,X293,X294,X295,X296] :
( ~ eqangle(X291,X292,X295,X296,X293,X294,X295,X296)
| para(X291,X292,X293,X294) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_35,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_29]) ).
cnf(c_0_36,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_37,plain,
! [X340,X341,X342,X343] :
( ~ para(X340,X341,X342,X343)
| para(X342,X343,X340,X341) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_38,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,negated_conjecture,
perp(esk1_0,esk3_0,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,negated_conjecture,
( para(X1,X2,esk6_0,esk2_0)
| ~ perp(X1,X2,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_44,plain,
! [X103,X104,X105] :
( ~ para(X103,X104,X103,X105)
| coll(X103,X104,X105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_45,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( para(esk6_0,esk2_0,X1,X2)
| ~ perp(X1,X2,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_47,plain,
! [X91,X92,X93] :
( ~ coll(X91,X92,X93)
| coll(X92,X91,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_48,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_33])]) ).
fof(c_0_50,plain,
! [X88,X89,X90] :
( ~ coll(X88,X89,X90)
| coll(X88,X90,X89) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_51,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_53,plain,
! [X380,X381,X382,X383] :
( ~ eqangle(X382,X380,X382,X381,X383,X380,X383,X381)
| ~ coll(X382,X383,X381)
| cyclic(X380,X381,X382,X383) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_54,plain,
! [X94,X95,X96,X97] :
( ~ coll(X94,X95,X96)
| ~ coll(X94,X95,X97)
| coll(X96,X97,X94) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_55,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,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_53]) ).
cnf(c_0_58,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_60,plain,
! [X359,X360,X361,X362] :
( ~ cyclic(X359,X360,X361,X362)
| cyclic(X359,X361,X360,X362) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_61,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_36]) ).
cnf(c_0_62,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_59])]) ).
fof(c_0_63,plain,
! [X355,X356,X357,X358] :
( ~ cyclic(X355,X356,X357,X358)
| cyclic(X355,X356,X358,X357) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_64,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_49])]),c_0_62])]) ).
fof(c_0_66,plain,
! [X172,X173,X174,X175,X176] :
( ~ circle(X175,X172,X173,X174)
| ~ coll(X176,X173,X174)
| ~ eqangle(X172,X173,X172,X174,X175,X173,X175,X176)
| midp(X176,X173,X174) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_67,plain,
! [X372,X373,X374,X375] :
( ~ cyclic(X372,X373,X374,X375)
| eqangle(X374,X372,X374,X373,X375,X372,X375,X373) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_68,plain,
! [X363,X364,X365,X366] :
( ~ cyclic(X363,X364,X365,X366)
| cyclic(X364,X363,X365,X366) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_69,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_70,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,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_66]) ).
cnf(c_0_72,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
fof(c_0_73,plain,
! [X367,X368,X369,X370,X371] :
( ~ cyclic(X367,X368,X369,X370)
| ~ cyclic(X367,X368,X369,X371)
| cyclic(X368,X369,X370,X371) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_74,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_76,plain,
! [X98,X99,X100,X101,X102] :
( ~ midp(X101,X98,X99)
| ~ para(X101,X102,X99,X100)
| ~ coll(X102,X98,X100)
| midp(X102,X98,X100) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_77,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_71,c_0_72]) ).
cnf(c_0_78,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_79,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,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_76]) ).
cnf(c_0_81,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_77,c_0_56])]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_79])]) ).
fof(c_0_83,plain,
! [X263,X264,X265,X266,X267,X268,X269,X270] :
( ~ eqangle(X263,X264,X265,X266,X267,X268,X269,X270)
| eqangle(X267,X268,X269,X270,X263,X264,X265,X266) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
fof(c_0_84,plain,
! [X44,X45,X46] :
( ~ cong(X46,X44,X46,X45)
| eqangle(X46,X44,X44,X45,X44,X45,X46,X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
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_80,c_0_62])]) ).
cnf(c_0_86,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82])]) ).
cnf(c_0_87,negated_conjecture,
circle(esk4_0,esk3_0,esk7_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_88,plain,
! [X303,X304,X305,X306,X307,X308,X309,X310] :
( ~ eqangle(X303,X304,X305,X306,X307,X308,X309,X310)
| ~ para(X307,X308,X309,X310)
| para(X303,X304,X305,X306) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_89,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_83]) ).
cnf(c_0_90,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
fof(c_0_91,plain,
! [X65,X66,X67] :
( ~ midp(X65,X66,X67)
| cong(X65,X66,X65,X67) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_92,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_85,c_0_49]) ).
cnf(c_0_93,negated_conjecture,
midp(esk9_0,esk7_0,esk9_0),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
fof(c_0_94,plain,
! [X336,X337,X338,X339] :
( ~ para(X336,X337,X338,X339)
| para(X336,X337,X339,X338) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_95,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_88]) ).
cnf(c_0_96,plain,
( eqangle(X1,X2,X3,X2,X3,X1,X1,X2)
| ~ cong(X3,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_97,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_98,negated_conjecture,
midp(X1,esk7_0,X1),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_99,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
fof(c_0_100,plain,
! [X324,X325,X326,X327,X328] :
( ~ midp(X328,X324,X325)
| ~ para(X324,X326,X325,X327)
| ~ para(X324,X327,X325,X326)
| midp(X328,X326,X327) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_101,plain,
( para(X1,X2,X3,X2)
| ~ cong(X3,X1,X3,X2)
| ~ para(X3,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,negated_conjecture,
cong(X1,esk7_0,X1,X1),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_103,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_99,c_0_49]) ).
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_100]) ).
cnf(c_0_105,negated_conjecture,
para(esk7_0,X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103])]) ).
cnf(c_0_106,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_49]),c_0_49])]) ).
cnf(c_0_107,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(esk7_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_105]) ).
cnf(c_0_108,negated_conjecture,
midp(esk7_0,X1,X1),
inference(spm,[status(thm)],[c_0_106,c_0_98]) ).
fof(c_0_109,plain,
! [X311,X312,X313] :
( ~ midp(X313,X312,X311)
| midp(X313,X311,X312) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_110,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_111,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_72]) ).
cnf(c_0_112,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_113,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_92,c_0_110]) ).
cnf(c_0_114,plain,
( para(X1,X2,X1,X3)
| ~ para(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_82])]) ).
cnf(c_0_115,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_90]) ).
cnf(c_0_116,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_117,plain,
( para(X1,X2,X1,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_118,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_97,c_0_116]) ).
cnf(c_0_119,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]) ).
cnf(c_0_120,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_119]),c_0_113])]) ).
cnf(c_0_121,negated_conjecture,
~ cong(esk1_0,esk7_0,esk1_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_122,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_120])]) ).
cnf(c_0_123,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO573+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n002.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 : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Oct 3 06:57:00 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 Running first-order model finding
% 0.20/0.49 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.BavaQbrDkR/E---3.1_19748.p
% 1.90/0.76 # Version: 3.1pre001
% 1.90/0.76 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.90/0.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.90/0.76 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.90/0.76 # Starting new_bool_3 with 300s (1) cores
% 1.90/0.76 # Starting new_bool_1 with 300s (1) cores
% 1.90/0.76 # Starting sh5l with 300s (1) cores
% 1.90/0.76 # new_bool_1 with pid 19846 completed with status 0
% 1.90/0.76 # Result found by new_bool_1
% 1.90/0.76 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.90/0.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.90/0.76 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.90/0.76 # Starting new_bool_3 with 300s (1) cores
% 1.90/0.76 # Starting new_bool_1 with 300s (1) cores
% 1.90/0.76 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.90/0.76 # Search class: FGUSF-FFLM33-SFFFFFNN
% 1.90/0.76 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 1.90/0.76 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.90/0.76 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.90/0.76 # SAT001_MinMin_p005000_rr_RG with pid 19849 completed with status 0
% 1.90/0.76 # Result found by SAT001_MinMin_p005000_rr_RG
% 1.90/0.76 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.90/0.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.90/0.76 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.90/0.76 # Starting new_bool_3 with 300s (1) cores
% 1.90/0.76 # Starting new_bool_1 with 300s (1) cores
% 1.90/0.76 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.90/0.76 # Search class: FGUSF-FFLM33-SFFFFFNN
% 1.90/0.76 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 1.90/0.76 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.90/0.76 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.90/0.76 # Preprocessing time : 0.003 s
% 1.90/0.76 # Presaturation interreduction done
% 1.90/0.76
% 1.90/0.76 # Proof found!
% 1.90/0.76 # SZS status Theorem
% 1.90/0.76 # SZS output start CNFRefutation
% See solution above
% 1.90/0.76 # Parsed axioms : 95
% 1.90/0.76 # Removed by relevancy pruning/SinE : 21
% 1.90/0.76 # Initial clauses : 102
% 1.90/0.76 # Removed in clause preprocessing : 0
% 1.90/0.76 # Initial clauses in saturation : 102
% 1.90/0.76 # Processed clauses : 2607
% 1.90/0.76 # ...of these trivial : 239
% 1.90/0.76 # ...subsumed : 114
% 1.90/0.76 # ...remaining for further processing : 2254
% 1.90/0.76 # Other redundant clauses eliminated : 0
% 1.90/0.76 # Clauses deleted for lack of memory : 0
% 1.90/0.76 # Backward-subsumed : 32
% 1.90/0.76 # Backward-rewritten : 2011
% 1.90/0.76 # Generated clauses : 15282
% 1.90/0.76 # ...of the previous two non-redundant : 8546
% 1.90/0.76 # ...aggressively subsumed : 0
% 1.90/0.76 # Contextual simplify-reflections : 3
% 1.90/0.76 # Paramodulations : 15282
% 1.90/0.76 # Factorizations : 0
% 1.90/0.76 # NegExts : 0
% 1.90/0.76 # Equation resolutions : 0
% 1.90/0.76 # Total rewrite steps : 9794
% 1.90/0.76 # Propositional unsat checks : 0
% 1.90/0.76 # Propositional check models : 0
% 1.90/0.76 # Propositional check unsatisfiable : 0
% 1.90/0.76 # Propositional clauses : 0
% 1.90/0.76 # Propositional clauses after purity: 0
% 1.90/0.76 # Propositional unsat core size : 0
% 1.90/0.76 # Propositional preprocessing time : 0.000
% 1.90/0.76 # Propositional encoding time : 0.000
% 1.90/0.76 # Propositional solver time : 0.000
% 1.90/0.76 # Success case prop preproc time : 0.000
% 1.90/0.76 # Success case prop encoding time : 0.000
% 1.90/0.76 # Success case prop solver time : 0.000
% 1.90/0.76 # Current number of processed clauses : 110
% 1.90/0.76 # Positive orientable unit clauses : 80
% 1.90/0.76 # Positive unorientable unit clauses: 0
% 1.90/0.76 # Negative unit clauses : 0
% 1.90/0.76 # Non-unit-clauses : 30
% 1.90/0.76 # Current number of unprocessed clauses: 5567
% 1.90/0.76 # ...number of literals in the above : 17556
% 1.90/0.76 # Current number of archived formulas : 0
% 1.90/0.76 # Current number of archived clauses : 2144
% 1.90/0.76 # Clause-clause subsumption calls (NU) : 101549
% 1.90/0.76 # Rec. Clause-clause subsumption calls : 96079
% 1.90/0.76 # Non-unit clause-clause subsumptions : 149
% 1.90/0.76 # Unit Clause-clause subsumption calls : 153228
% 1.90/0.76 # Rewrite failures with RHS unbound : 0
% 1.90/0.76 # BW rewrite match attempts : 11849
% 1.90/0.76 # BW rewrite match successes : 1526
% 1.90/0.76 # Condensation attempts : 0
% 1.90/0.76 # Condensation successes : 0
% 1.90/0.76 # Termbank termtop insertions : 166386
% 1.90/0.76
% 1.90/0.76 # -------------------------------------------------
% 1.90/0.76 # User time : 0.244 s
% 1.90/0.76 # System time : 0.010 s
% 1.90/0.76 # Total time : 0.254 s
% 1.90/0.76 # Maximum resident set size: 2364 pages
% 1.90/0.76
% 1.90/0.76 # -------------------------------------------------
% 1.90/0.76 # User time : 0.247 s
% 1.90/0.76 # System time : 0.012 s
% 1.90/0.76 # Total time : 0.259 s
% 1.90/0.76 # Maximum resident set size: 1872 pages
% 1.90/0.76 % E---3.1 exiting
%------------------------------------------------------------------------------