TSTP Solution File: GEO606+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO606+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 17:35:22 EDT 2023
% Result : Theorem 2.52s 0.84s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 30
% Syntax : Number of formulae : 138 ( 31 unt; 0 def)
% Number of atoms : 321 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 292 ( 109 ~; 106 |; 46 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 19 ( 19 usr; 18 con; 0-4 aty)
% Number of variables : 556 ( 41 sgn; 300 !; 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.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.p',ruleD40) ).
fof(exemplo6GDDFULL618068,conjecture,
! [X1,X2,X9,X4,X5,X19,X6,X13,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ( perp(X9,X1,X9,X2)
& circle(X1,X9,X20,X21)
& circle(X2,X9,X22,X23)
& circle(X1,X9,X4,X24)
& circle(X1,X4,X5,X25)
& coll(X5,X4,X1)
& circle(X1,X9,X19,X26)
& circle(X2,X9,X19,X27)
& coll(X6,X4,X19)
& circle(X2,X9,X6,X28)
& circle(X2,X6,X13,X29)
& coll(X13,X6,X2) )
=> perp(X13,X6,X4,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.HKcl8HRJtQ/E---3.1_22831.p',exemplo6GDDFULL618068) ).
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.HKcl8HRJtQ/E---3.1_22831.p',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.HKcl8HRJtQ/E---3.1_22831.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.HKcl8HRJtQ/E---3.1_22831.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.p',ruleD73) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.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.HKcl8HRJtQ/E---3.1_22831.p',ruleD64) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.HKcl8HRJtQ/E---3.1_22831.p',ruleD11) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.HKcl8HRJtQ/E---3.1_22831.p',ruleD5) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.HKcl8HRJtQ/E---3.1_22831.p',ruleD23) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.HKcl8HRJtQ/E---3.1_22831.p',ruleD24) ).
fof(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/tmp/tmp.HKcl8HRJtQ/E---3.1_22831.p',ruleD56) ).
fof(c_0_30,plain,
! [X56,X57,X58,X59,X60,X61] :
( ~ perp(X56,X57,X58,X59)
| ~ perp(X58,X59,X60,X61)
| para(X56,X57,X60,X61) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_31,plain,
! [X221,X222,X223,X224] :
( ~ circle(X224,X221,X222,X223)
| perp(esk32_4(X221,X222,X223,X224),X221,X221,X224) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_32,plain,
! [X52,X53,X54,X55] :
( ~ perp(X52,X53,X54,X55)
| perp(X54,X55,X52,X53) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_33,plain,
! [X332,X333,X334,X335,X336,X337,X338,X339] :
( ~ eqangle(X332,X333,X334,X335,X336,X337,X338,X339)
| eqangle(X334,X335,X332,X333,X338,X339,X336,X337) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_34,plain,
! [X265,X266,X267,X268,X269,X270] :
( ~ para(X265,X266,X267,X268)
| eqangle(X265,X266,X269,X270,X267,X268,X269,X270) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_35,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
( perp(esk32_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_38,negated_conjecture,
~ ! [X1,X2,X9,X4,X5,X19,X6,X13,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ( perp(X9,X1,X9,X2)
& circle(X1,X9,X20,X21)
& circle(X2,X9,X22,X23)
& circle(X1,X9,X4,X24)
& circle(X1,X4,X5,X25)
& coll(X5,X4,X1)
& circle(X1,X9,X19,X26)
& circle(X2,X9,X19,X27)
& coll(X6,X4,X19)
& circle(X2,X9,X6,X28)
& circle(X2,X6,X13,X29)
& coll(X13,X6,X2) )
=> perp(X13,X6,X4,X5) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618068]) ).
fof(c_0_39,plain,
! [X259,X260,X261,X262,X263,X264] :
( ~ eqangle(X259,X260,X263,X264,X261,X262,X263,X264)
| para(X259,X260,X261,X262) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_40,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_33]) ).
cnf(c_0_41,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk32_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,plain,
( perp(X1,X2,esk32_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_37,c_0_36]) ).
fof(c_0_44,negated_conjecture,
( perp(esk3_0,esk1_0,esk3_0,esk2_0)
& circle(esk1_0,esk3_0,esk9_0,esk10_0)
& circle(esk2_0,esk3_0,esk11_0,esk12_0)
& circle(esk1_0,esk3_0,esk4_0,esk13_0)
& circle(esk1_0,esk4_0,esk5_0,esk14_0)
& coll(esk5_0,esk4_0,esk1_0)
& circle(esk1_0,esk3_0,esk6_0,esk15_0)
& circle(esk2_0,esk3_0,esk6_0,esk16_0)
& coll(esk7_0,esk4_0,esk6_0)
& circle(esk2_0,esk3_0,esk7_0,esk17_0)
& circle(esk2_0,esk7_0,esk8_0,esk18_0)
& coll(esk8_0,esk7_0,esk2_0)
& ~ perp(esk8_0,esk7_0,esk4_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
cnf(c_0_45,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
circle(esk2_0,esk7_0,esk8_0,esk18_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_49,plain,
! [X157,X158,X159] :
( ~ para(X157,X158,X157,X159)
| coll(X157,X158,X159) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_50,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,negated_conjecture,
para(esk7_0,esk2_0,esk7_0,esk2_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_52,plain,
! [X142,X143,X144] :
( ~ coll(X142,X143,X144)
| coll(X143,X142,X144) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_53,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_55,plain,
! [X139,X140,X141] :
( ~ coll(X139,X140,X141)
| coll(X139,X141,X140) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_56,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_57,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_58,plain,
! [X398,X399,X400,X401] :
( ~ eqangle(X400,X398,X400,X399,X401,X398,X401,X399)
| ~ coll(X400,X401,X399)
| cyclic(X398,X399,X400,X401) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_59,plain,
! [X145,X146,X147,X148] :
( ~ coll(X145,X146,X147)
| ~ coll(X145,X146,X148)
| coll(X147,X148,X145) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_60,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_61,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,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_58]) ).
cnf(c_0_63,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_64,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
fof(c_0_65,plain,
! [X377,X378,X379,X380] :
( ~ cyclic(X377,X378,X379,X380)
| cyclic(X377,X379,X378,X380) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_66,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_41]) ).
cnf(c_0_67,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_64])]) ).
fof(c_0_68,plain,
! [X373,X374,X375,X376] :
( ~ cyclic(X373,X374,X375,X376)
| cyclic(X373,X374,X376,X375) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_69,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_70,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_54])]),c_0_67])]) ).
fof(c_0_71,plain,
! [X212,X213,X214,X215,X216] :
( ~ circle(X215,X212,X213,X214)
| ~ coll(X216,X213,X214)
| ~ eqangle(X212,X213,X212,X214,X215,X213,X215,X216)
| midp(X216,X213,X214) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_72,plain,
! [X390,X391,X392,X393] :
( ~ cyclic(X390,X391,X392,X393)
| eqangle(X392,X390,X392,X391,X393,X390,X393,X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_73,plain,
! [X381,X382,X383,X384] :
( ~ cyclic(X381,X382,X383,X384)
| cyclic(X382,X381,X383,X384) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_74,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,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_71]) ).
cnf(c_0_77,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
fof(c_0_78,plain,
! [X385,X386,X387,X388,X389] :
( ~ cyclic(X385,X386,X387,X388)
| ~ cyclic(X385,X386,X387,X389)
| cyclic(X386,X387,X388,X389) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_79,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_80,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
fof(c_0_81,plain,
! [X149,X150,X151,X152,X153] :
( ~ midp(X152,X149,X150)
| ~ para(X152,X153,X150,X151)
| ~ coll(X153,X149,X151)
| midp(X153,X149,X151) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_82,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_76,c_0_77]) ).
cnf(c_0_83,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_84,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_85,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_81]) ).
cnf(c_0_86,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_82,c_0_61])]) ).
cnf(c_0_87,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_84])]) ).
fof(c_0_88,plain,
! [X340,X341,X342,X343,X344,X345,X346,X347] :
( ~ eqangle(X340,X341,X342,X343,X344,X345,X346,X347)
| eqangle(X344,X345,X346,X347,X340,X341,X342,X343) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
fof(c_0_89,plain,
! [X315,X316,X317] :
( ~ cong(X317,X315,X317,X316)
| eqangle(X317,X315,X315,X316,X315,X316,X317,X316) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_90,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_67])]) ).
cnf(c_0_91,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87])]) ).
fof(c_0_92,plain,
! [X286,X287,X288,X289,X290,X291,X292,X293] :
( ~ eqangle(X286,X287,X288,X289,X290,X291,X292,X293)
| ~ para(X290,X291,X292,X293)
| para(X286,X287,X288,X289) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_93,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_88]) ).
cnf(c_0_94,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
fof(c_0_95,plain,
! [X318,X319,X320] :
( ~ midp(X318,X319,X320)
| cong(X318,X319,X318,X320) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_96,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_90,c_0_54]) ).
cnf(c_0_97,negated_conjecture,
midp(esk18_0,esk8_0,esk18_0),
inference(spm,[status(thm)],[c_0_91,c_0_48]) ).
fof(c_0_98,plain,
! [X245,X246,X247,X248] :
( ~ para(X245,X246,X247,X248)
| para(X245,X246,X248,X247) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_99,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_100,plain,
( eqangle(X1,X2,X3,X2,X3,X1,X1,X2)
| ~ cong(X3,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_101,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_102,negated_conjecture,
midp(X1,esk8_0,X1),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
fof(c_0_104,plain,
! [X281,X282,X283,X284,X285] :
( ~ midp(X285,X281,X282)
| ~ para(X281,X283,X282,X284)
| ~ para(X281,X284,X282,X283)
| midp(X285,X283,X284) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_105,plain,
( para(X1,X2,X3,X2)
| ~ cong(X3,X1,X3,X2)
| ~ para(X3,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_106,negated_conjecture,
cong(X1,esk8_0,X1,X1),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_107,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_103,c_0_54]) ).
cnf(c_0_108,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_104]) ).
cnf(c_0_109,negated_conjecture,
para(esk8_0,X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107])]) ).
cnf(c_0_110,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_54]),c_0_54])]) ).
cnf(c_0_111,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(esk8_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
midp(esk8_0,X1,X1),
inference(spm,[status(thm)],[c_0_110,c_0_102]) ).
fof(c_0_113,plain,
! [X321,X322,X323] :
( ~ midp(X323,X322,X321)
| midp(X323,X321,X322) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_114,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
fof(c_0_115,plain,
! [X249,X250,X251,X252] :
( ~ para(X249,X250,X251,X252)
| para(X251,X252,X249,X250) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_116,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_117,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_96,c_0_114]) ).
cnf(c_0_118,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_119,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_94]) ).
cnf(c_0_120,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_121,plain,
( para(X1,X2,X1,X1)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_101,c_0_120]) ).
cnf(c_0_123,plain,
para(X1,X2,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122])]) ).
fof(c_0_124,plain,
! [X301,X302,X303,X304] :
( ~ cong(X301,X302,X303,X304)
| cong(X301,X302,X304,X303) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_125,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_123]),c_0_117])]) ).
fof(c_0_126,plain,
! [X305,X306,X307,X308] :
( ~ cong(X305,X306,X307,X308)
| cong(X307,X308,X305,X306) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_127,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_128,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_125])]) ).
cnf(c_0_129,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_130,plain,
cong(X1,X2,X3,X1),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
fof(c_0_131,plain,
! [X76,X77,X78,X79] :
( ~ cong(X76,X78,X77,X78)
| ~ cong(X76,X79,X77,X79)
| perp(X76,X77,X78,X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_132,plain,
cong(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_133,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_134,plain,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_127,c_0_132]) ).
cnf(c_0_135,negated_conjecture,
~ perp(esk8_0,esk7_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_136,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_134]),c_0_134])]) ).
cnf(c_0_137,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_136])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO606+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 2400
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Oct 3 06:32:10 EDT 2023
% 0.14/0.35 % 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.HKcl8HRJtQ/E---3.1_22831.p
% 2.52/0.84 # Version: 3.1pre001
% 2.52/0.84 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.52/0.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.52/0.84 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.52/0.84 # Starting new_bool_3 with 300s (1) cores
% 2.52/0.84 # Starting new_bool_1 with 300s (1) cores
% 2.52/0.84 # Starting sh5l with 300s (1) cores
% 2.52/0.84 # new_bool_1 with pid 22918 completed with status 0
% 2.52/0.84 # Result found by new_bool_1
% 2.52/0.84 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.52/0.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.52/0.84 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.52/0.84 # Starting new_bool_3 with 300s (1) cores
% 2.52/0.84 # Starting new_bool_1 with 300s (1) cores
% 2.52/0.84 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.52/0.84 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.52/0.84 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.52/0.84 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.52/0.84 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.52/0.84 # SAT001_MinMin_p005000_rr_RG with pid 22921 completed with status 0
% 2.52/0.84 # Result found by SAT001_MinMin_p005000_rr_RG
% 2.52/0.84 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.52/0.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.52/0.84 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.52/0.84 # Starting new_bool_3 with 300s (1) cores
% 2.52/0.84 # Starting new_bool_1 with 300s (1) cores
% 2.52/0.84 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.52/0.84 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.52/0.84 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.52/0.84 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.52/0.84 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.52/0.84 # Preprocessing time : 0.003 s
% 2.52/0.84 # Presaturation interreduction done
% 2.52/0.84
% 2.52/0.84 # Proof found!
% 2.52/0.84 # SZS status Theorem
% 2.52/0.84 # SZS output start CNFRefutation
% See solution above
% 2.52/0.84 # Parsed axioms : 95
% 2.52/0.84 # Removed by relevancy pruning/SinE : 21
% 2.52/0.84 # Initial clauses : 105
% 2.52/0.84 # Removed in clause preprocessing : 0
% 2.52/0.84 # Initial clauses in saturation : 105
% 2.52/0.84 # Processed clauses : 3650
% 2.52/0.84 # ...of these trivial : 483
% 2.52/0.84 # ...subsumed : 197
% 2.52/0.84 # ...remaining for further processing : 2970
% 2.52/0.84 # Other redundant clauses eliminated : 0
% 2.52/0.84 # Clauses deleted for lack of memory : 0
% 2.52/0.84 # Backward-subsumed : 44
% 2.52/0.84 # Backward-rewritten : 2804
% 2.52/0.84 # Generated clauses : 21229
% 2.52/0.84 # ...of the previous two non-redundant : 12075
% 2.52/0.84 # ...aggressively subsumed : 0
% 2.52/0.84 # Contextual simplify-reflections : 24
% 2.52/0.84 # Paramodulations : 21229
% 2.52/0.84 # Factorizations : 0
% 2.52/0.84 # NegExts : 0
% 2.52/0.84 # Equation resolutions : 0
% 2.52/0.84 # Total rewrite steps : 13729
% 2.52/0.84 # Propositional unsat checks : 0
% 2.52/0.84 # Propositional check models : 0
% 2.52/0.84 # Propositional check unsatisfiable : 0
% 2.52/0.84 # Propositional clauses : 0
% 2.52/0.84 # Propositional clauses after purity: 0
% 2.52/0.84 # Propositional unsat core size : 0
% 2.52/0.84 # Propositional preprocessing time : 0.000
% 2.52/0.84 # Propositional encoding time : 0.000
% 2.52/0.84 # Propositional solver time : 0.000
% 2.52/0.84 # Success case prop preproc time : 0.000
% 2.52/0.84 # Success case prop encoding time : 0.000
% 2.52/0.84 # Success case prop solver time : 0.000
% 2.52/0.84 # Current number of processed clauses : 18
% 2.52/0.84 # Positive orientable unit clauses : 10
% 2.52/0.84 # Positive unorientable unit clauses: 0
% 2.52/0.84 # Negative unit clauses : 0
% 2.52/0.84 # Non-unit-clauses : 8
% 2.52/0.84 # Current number of unprocessed clauses: 7994
% 2.52/0.84 # ...number of literals in the above : 25315
% 2.52/0.84 # Current number of archived formulas : 0
% 2.52/0.84 # Current number of archived clauses : 2952
% 2.52/0.84 # Clause-clause subsumption calls (NU) : 176706
% 2.52/0.84 # Rec. Clause-clause subsumption calls : 169404
% 2.52/0.84 # Non-unit clause-clause subsumptions : 265
% 2.52/0.84 # Unit Clause-clause subsumption calls : 35887
% 2.52/0.84 # Rewrite failures with RHS unbound : 0
% 2.52/0.84 # BW rewrite match attempts : 15990
% 2.52/0.84 # BW rewrite match successes : 2075
% 2.52/0.84 # Condensation attempts : 0
% 2.52/0.84 # Condensation successes : 0
% 2.52/0.84 # Termbank termtop insertions : 240527
% 2.52/0.84
% 2.52/0.84 # -------------------------------------------------
% 2.52/0.84 # User time : 0.325 s
% 2.52/0.84 # System time : 0.017 s
% 2.52/0.84 # Total time : 0.342 s
% 2.52/0.84 # Maximum resident set size: 2376 pages
% 2.52/0.84
% 2.52/0.84 # -------------------------------------------------
% 2.52/0.84 # User time : 0.330 s
% 2.52/0.84 # System time : 0.018 s
% 2.52/0.84 # Total time : 0.348 s
% 2.52/0.84 # Maximum resident set size: 1872 pages
% 2.52/0.84 % E---3.1 exiting
%------------------------------------------------------------------------------