TSTP Solution File: GEO635+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO635+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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:35:27 EDT 2023
% Result : Theorem 1.13s 0.72s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 27
% Syntax : Number of formulae : 131 ( 30 unt; 0 def)
% Number of atoms : 292 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 269 ( 108 ~; 105 |; 28 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-4 aty)
% Number of variables : 493 ( 35 sgn; 252 !; 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/sandbox2/tmp/tmp.nH7sg8CFZN/E---3.1_16051.p',ruleD9) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox2/tmp/tmp.nH7sg8CFZN/E---3.1_16051.p',ruleX11) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.nH7sg8CFZN/E---3.1_16051.p',ruleD8) ).
fof(exemplo6GDDFULL8110998,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X19,X20] :
( ( circle(X4,X1,X2,X3)
& coll(X5,X1,X2)
& circle(X4,X1,X6,X19)
& eqangle(X1,X3,X3,X5,X6,X3,X3,X2)
& circle(X4,X3,X13,X20)
& coll(X13,X3,X5) )
=> para(X1,X2,X13,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.nH7sg8CFZN/E---3.1_16051.p',exemplo6GDDFULL8110998) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.nH7sg8CFZN/E---3.1_16051.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/sandbox2/tmp/tmp.nH7sg8CFZN/E---3.1_16051.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.nH7sg8CFZN/E---3.1_16051.p',ruleD40) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.nH7sg8CFZN/E---3.1_16051.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/sandbox2/tmp/tmp.nH7sg8CFZN/E---3.1_16051.p',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.nH7sg8CFZN/E---3.1_16051.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.nH7sg8CFZN/E---3.1_16051.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.nH7sg8CFZN/E---3.1_16051.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.nH7sg8CFZN/E---3.1_16051.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.nH7sg8CFZN/E---3.1_16051.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.nH7sg8CFZN/E---3.1_16051.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.nH7sg8CFZN/E---3.1_16051.p',ruleD14) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.nH7sg8CFZN/E---3.1_16051.p',ruleD16) ).
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.nH7sg8CFZN/E---3.1_16051.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.nH7sg8CFZN/E---3.1_16051.p',ruleD41) ).
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.nH7sg8CFZN/E---3.1_16051.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.nH7sg8CFZN/E---3.1_16051.p',ruleD45) ).
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.nH7sg8CFZN/E---3.1_16051.p',ruleD46) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.nH7sg8CFZN/E---3.1_16051.p',ruleD11) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.nH7sg8CFZN/E---3.1_16051.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.nH7sg8CFZN/E---3.1_16051.p',ruleD64) ).
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.nH7sg8CFZN/E---3.1_16051.p',ruleD73) ).
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.nH7sg8CFZN/E---3.1_16051.p',ruleD44) ).
fof(c_0_27,plain,
! [X44,X45,X46,X47,X48,X49] :
( ~ perp(X44,X45,X46,X47)
| ~ perp(X46,X47,X48,X49)
| para(X44,X45,X48,X49) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_28,plain,
! [X225,X226,X227,X228] :
( ~ circle(X228,X225,X226,X227)
| perp(esk23_4(X225,X226,X227,X228),X225,X225,X228) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_29,plain,
! [X308,X309,X310,X311] :
( ~ perp(X308,X309,X310,X311)
| perp(X310,X311,X308,X309) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_30,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
( perp(esk23_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_33,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X19,X20] :
( ( circle(X4,X1,X2,X3)
& coll(X5,X1,X2)
& circle(X4,X1,X6,X19)
& eqangle(X1,X3,X3,X5,X6,X3,X3,X2)
& circle(X4,X3,X13,X20)
& coll(X13,X3,X5) )
=> para(X1,X2,X13,X6) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110998]) ).
cnf(c_0_34,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk23_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
( perp(X1,X2,esk23_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
fof(c_0_36,negated_conjecture,
( circle(esk4_0,esk1_0,esk2_0,esk3_0)
& coll(esk5_0,esk1_0,esk2_0)
& circle(esk4_0,esk1_0,esk6_0,esk8_0)
& eqangle(esk1_0,esk3_0,esk3_0,esk5_0,esk6_0,esk3_0,esk3_0,esk2_0)
& circle(esk4_0,esk3_0,esk7_0,esk9_0)
& coll(esk7_0,esk3_0,esk5_0)
& ~ para(esk1_0,esk2_0,esk7_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_37,plain,
! [X30,X31,X32,X33] :
( ~ para(X30,X31,X32,X33)
| para(X30,X31,X33,X32) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_38,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
circle(esk4_0,esk3_0,esk7_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_40,plain,
! [X257,X258,X259,X260,X261,X262,X263,X264] :
( ~ eqangle(X257,X258,X259,X260,X261,X262,X263,X264)
| eqangle(X259,X260,X257,X258,X263,X264,X261,X262) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_41,plain,
! [X62,X63,X64,X65,X66,X67] :
( ~ para(X62,X63,X64,X65)
| eqangle(X62,X63,X66,X67,X64,X65,X66,X67) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_42,plain,
! [X34,X35,X36,X37] :
( ~ para(X34,X35,X36,X37)
| para(X36,X37,X34,X35) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_43,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,negated_conjecture,
para(esk3_0,esk4_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_45,plain,
! [X56,X57,X58,X59,X60,X61] :
( ~ eqangle(X56,X57,X60,X61,X58,X59,X60,X61)
| para(X56,X57,X58,X59) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_46,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_40]) ).
cnf(c_0_47,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
para(esk3_0,esk4_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
para(esk4_0,esk3_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_53,plain,
! [X88,X89,X90] :
( ~ para(X88,X89,X88,X90)
| coll(X88,X89,X90) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_54,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
para(esk4_0,esk3_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_43,c_0_52]) ).
fof(c_0_56,plain,
! [X137,X138,X139] :
( ~ coll(X137,X138,X139)
| coll(X138,X137,X139) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_57,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_58,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
fof(c_0_59,plain,
! [X134,X135,X136] :
( ~ coll(X134,X135,X136)
| coll(X134,X136,X135) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_60,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_61,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_62,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_63,plain,
! [X140,X141,X142,X143] :
( ~ coll(X140,X141,X142)
| ~ coll(X140,X141,X143)
| coll(X142,X143,X140) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_64,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,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_62]) ).
cnf(c_0_67,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_69,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_70,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_47]) ).
cnf(c_0_71,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_68])]) ).
fof(c_0_72,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_73,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_74,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_58])]),c_0_71])]) ).
fof(c_0_75,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_76,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_77,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_78,plain,
! [X216,X217,X218,X219,X220] :
( ~ circle(X219,X216,X217,X218)
| ~ coll(X220,X217,X218)
| ~ eqangle(X216,X217,X216,X218,X219,X217,X219,X220)
| midp(X220,X217,X218) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_79,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_80,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_81,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
fof(c_0_83,plain,
! [X73,X74,X75,X76,X77] :
( ~ midp(X76,X73,X74)
| ~ para(X76,X77,X74,X75)
| ~ coll(X77,X73,X75)
| midp(X77,X73,X75) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_84,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_85,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_86,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_87,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
fof(c_0_88,plain,
! [X293,X294,X295] :
( ~ cong(X295,X293,X295,X294)
| eqangle(X295,X293,X293,X294,X293,X294,X295,X294) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_89,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_83]) ).
cnf(c_0_90,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_84,c_0_85]) ).
cnf(c_0_91,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_87])]) ).
cnf(c_0_92,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_93,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_71])]) ).
cnf(c_0_94,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_65])]),c_0_91])]) ).
cnf(c_0_95,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_92]) ).
fof(c_0_96,plain,
! [X330,X331,X332] :
( ~ midp(X332,X331,X330)
| midp(X332,X330,X331) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_97,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_93,c_0_58]) ).
cnf(c_0_98,negated_conjecture,
midp(esk9_0,esk7_0,esk9_0),
inference(spm,[status(thm)],[c_0_94,c_0_39]) ).
cnf(c_0_99,plain,
( para(X1,X1,X2,X1)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_95]) ).
fof(c_0_100,plain,
! [X333,X334,X335] :
( ~ midp(X333,X334,X335)
| cong(X333,X334,X333,X335) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_101,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_102,negated_conjecture,
midp(X1,esk7_0,X1),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_103,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X3)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_99]) ).
cnf(c_0_104,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_105,negated_conjecture,
midp(X1,X1,esk7_0),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
fof(c_0_106,plain,
! [X83,X84,X85,X86,X87] :
( ~ midp(X87,X83,X84)
| ~ para(X83,X85,X84,X86)
| ~ para(X83,X86,X84,X85)
| midp(X87,X85,X86) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_107,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_65])]) ).
cnf(c_0_108,negated_conjecture,
cong(X1,X1,X1,esk7_0),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
fof(c_0_109,plain,
! [X99,X100,X101,X102,X103,X104,X105,X106] :
( ~ eqangle(X99,X100,X101,X102,X103,X104,X105,X106)
| ~ para(X103,X104,X105,X106)
| para(X99,X100,X101,X102) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_110,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_106]) ).
cnf(c_0_111,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X1,X2,esk7_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_112,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_109]) ).
cnf(c_0_113,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_43,c_0_58]) ).
cnf(c_0_114,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_58]),c_0_58])]) ).
cnf(c_0_115,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_111,c_0_105]) ).
cnf(c_0_116,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_112,c_0_85]) ).
cnf(c_0_117,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_113]) ).
cnf(c_0_118,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_119,plain,
( para(X1,X2,X1,X3)
| ~ para(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_91])]) ).
cnf(c_0_120,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_121,plain,
( para(X1,X2,X1,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_119,c_0_95]) ).
cnf(c_0_122,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_104,c_0_120]) ).
fof(c_0_123,plain,
! [X68,X69,X70,X71,X72] :
( ~ midp(X71,X68,X69)
| ~ midp(X72,X68,X70)
| para(X71,X72,X69,X70) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_124,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122])]) ).
cnf(c_0_125,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_97,c_0_118]) ).
cnf(c_0_126,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_127,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_124]),c_0_125])]) ).
cnf(c_0_128,negated_conjecture,
~ para(esk1_0,esk2_0,esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_129,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_127]),c_0_127])]) ).
cnf(c_0_130,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO635+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Oct 3 06:17:16 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.48 Running first-order model finding
% 0.19/0.48 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.nH7sg8CFZN/E---3.1_16051.p
% 1.13/0.72 # Version: 3.1pre001
% 1.13/0.72 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.13/0.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.13/0.72 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.13/0.72 # Starting new_bool_3 with 300s (1) cores
% 1.13/0.72 # Starting new_bool_1 with 300s (1) cores
% 1.13/0.72 # Starting sh5l with 300s (1) cores
% 1.13/0.72 # new_bool_3 with pid 16129 completed with status 0
% 1.13/0.72 # Result found by new_bool_3
% 1.13/0.72 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.13/0.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.13/0.72 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.13/0.72 # Starting new_bool_3 with 300s (1) cores
% 1.13/0.72 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.13/0.72 # Search class: FGUSF-FFLM33-SFFFFFNN
% 1.13/0.72 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 1.13/0.72 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.13/0.72 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.13/0.72 # SAT001_MinMin_p005000_rr_RG with pid 16132 completed with status 0
% 1.13/0.72 # Result found by SAT001_MinMin_p005000_rr_RG
% 1.13/0.72 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.13/0.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.13/0.72 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.13/0.72 # Starting new_bool_3 with 300s (1) cores
% 1.13/0.72 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.13/0.72 # Search class: FGUSF-FFLM33-SFFFFFNN
% 1.13/0.72 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 1.13/0.72 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.13/0.72 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.13/0.72 # Preprocessing time : 0.003 s
% 1.13/0.72 # Presaturation interreduction done
% 1.13/0.72
% 1.13/0.72 # Proof found!
% 1.13/0.72 # SZS status Theorem
% 1.13/0.72 # SZS output start CNFRefutation
% See solution above
% 1.13/0.72 # Parsed axioms : 95
% 1.13/0.72 # Removed by relevancy pruning/SinE : 21
% 1.13/0.72 # Initial clauses : 99
% 1.13/0.72 # Removed in clause preprocessing : 0
% 1.13/0.72 # Initial clauses in saturation : 99
% 1.13/0.72 # Processed clauses : 2495
% 1.13/0.72 # ...of these trivial : 235
% 1.13/0.72 # ...subsumed : 497
% 1.13/0.72 # ...remaining for further processing : 1763
% 1.13/0.72 # Other redundant clauses eliminated : 0
% 1.13/0.72 # Clauses deleted for lack of memory : 0
% 1.13/0.72 # Backward-subsumed : 99
% 1.13/0.72 # Backward-rewritten : 1418
% 1.13/0.72 # Generated clauses : 11036
% 1.13/0.72 # ...of the previous two non-redundant : 8027
% 1.13/0.72 # ...aggressively subsumed : 0
% 1.13/0.72 # Contextual simplify-reflections : 7
% 1.13/0.72 # Paramodulations : 11036
% 1.13/0.72 # Factorizations : 0
% 1.13/0.72 # NegExts : 0
% 1.13/0.72 # Equation resolutions : 0
% 1.13/0.72 # Total rewrite steps : 5296
% 1.13/0.72 # Propositional unsat checks : 0
% 1.13/0.72 # Propositional check models : 0
% 1.13/0.72 # Propositional check unsatisfiable : 0
% 1.13/0.72 # Propositional clauses : 0
% 1.13/0.72 # Propositional clauses after purity: 0
% 1.13/0.72 # Propositional unsat core size : 0
% 1.13/0.72 # Propositional preprocessing time : 0.000
% 1.13/0.72 # Propositional encoding time : 0.000
% 1.13/0.72 # Propositional solver time : 0.000
% 1.13/0.72 # Success case prop preproc time : 0.000
% 1.13/0.72 # Success case prop encoding time : 0.000
% 1.13/0.72 # Success case prop solver time : 0.000
% 1.13/0.72 # Current number of processed clauses : 148
% 1.13/0.72 # Positive orientable unit clauses : 87
% 1.13/0.72 # Positive unorientable unit clauses: 0
% 1.13/0.72 # Negative unit clauses : 4
% 1.13/0.72 # Non-unit-clauses : 57
% 1.13/0.72 # Current number of unprocessed clauses: 5576
% 1.13/0.72 # ...number of literals in the above : 16326
% 1.13/0.72 # Current number of archived formulas : 0
% 1.13/0.72 # Current number of archived clauses : 1615
% 1.13/0.72 # Clause-clause subsumption calls (NU) : 121347
% 1.13/0.72 # Rec. Clause-clause subsumption calls : 111085
% 1.13/0.72 # Non-unit clause-clause subsumptions : 560
% 1.13/0.72 # Unit Clause-clause subsumption calls : 37187
% 1.13/0.72 # Rewrite failures with RHS unbound : 0
% 1.13/0.72 # BW rewrite match attempts : 6680
% 1.13/0.72 # BW rewrite match successes : 997
% 1.13/0.72 # Condensation attempts : 0
% 1.13/0.72 # Condensation successes : 0
% 1.13/0.72 # Termbank termtop insertions : 125690
% 1.13/0.72
% 1.13/0.72 # -------------------------------------------------
% 1.13/0.72 # User time : 0.216 s
% 1.13/0.72 # System time : 0.006 s
% 1.13/0.72 # Total time : 0.222 s
% 1.13/0.72 # Maximum resident set size: 2352 pages
% 1.13/0.72
% 1.13/0.72 # -------------------------------------------------
% 1.13/0.72 # User time : 0.219 s
% 1.13/0.72 # System time : 0.008 s
% 1.13/0.72 # Total time : 0.227 s
% 1.13/0.72 # Maximum resident set size: 1872 pages
% 1.13/0.72 % E---3.1 exiting
%------------------------------------------------------------------------------