TSTP Solution File: GEO641+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO641+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 17:33:15 EDT 2023
% Result : Theorem 2.03s 0.74s
% Output : CNFRefutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 27
% Syntax : Number of formulae : 127 ( 32 unt; 0 def)
% Number of atoms : 300 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 280 ( 107 ~; 104 |; 41 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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; 8 con; 0-3 aty)
% Number of variables : 468 ( 31 sgn; 250 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL81109107,conjecture,
! [X1,X2,X3,X8,X4,X11,X12,X19] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X4,X19)
& perp(X1,X2,X4,X11)
& perp(X1,X4,X2,X11)
& perp(X2,X4,X1,X11)
& perp(X1,X3,X4,X12)
& perp(X1,X4,X3,X12)
& perp(X3,X4,X1,X12) )
=> para(X11,X12,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.LgGHPWJF8v/E---3.1_16179.p',exemplo6GDDFULL81109107) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.LgGHPWJF8v/E---3.1_16179.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.LgGHPWJF8v/E---3.1_16179.p',ruleD8) ).
fof(ruleX10,axiom,
! [X1,X2,X3,X14] :
? [X9,X10] :
( ( perp(X1,X14,X2,X3)
& perp(X2,X14,X1,X3) )
=> ( coll(X9,X3,X2)
& perp(X1,X9,X3,X2)
& coll(X10,X3,X1)
& perp(X2,X10,X3,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LgGHPWJF8v/E---3.1_16179.p',ruleX10) ).
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.LgGHPWJF8v/E---3.1_16179.p',ruleD9) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.LgGHPWJF8v/E---3.1_16179.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.LgGHPWJF8v/E---3.1_16179.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.LgGHPWJF8v/E---3.1_16179.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.LgGHPWJF8v/E---3.1_16179.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.LgGHPWJF8v/E---3.1_16179.p',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.LgGHPWJF8v/E---3.1_16179.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.LgGHPWJF8v/E---3.1_16179.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.LgGHPWJF8v/E---3.1_16179.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.LgGHPWJF8v/E---3.1_16179.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.LgGHPWJF8v/E---3.1_16179.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.LgGHPWJF8v/E---3.1_16179.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.LgGHPWJF8v/E---3.1_16179.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.LgGHPWJF8v/E---3.1_16179.p',ruleD16) ).
fof(ruleD43,axiom,
! [X1,X2,X3,X9,X10,X15] :
( ( cyclic(X1,X2,X3,X9)
& cyclic(X1,X2,X3,X10)
& cyclic(X1,X2,X3,X15)
& eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
=> cong(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/tmp/tmp.LgGHPWJF8v/E---3.1_16179.p',ruleD43) ).
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.LgGHPWJF8v/E---3.1_16179.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.LgGHPWJF8v/E---3.1_16179.p',ruleD45) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.LgGHPWJF8v/E---3.1_16179.p',ruleD67) ).
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.LgGHPWJF8v/E---3.1_16179.p',ruleD73) ).
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.LgGHPWJF8v/E---3.1_16179.p',ruleD41) ).
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.LgGHPWJF8v/E---3.1_16179.p',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.LgGHPWJF8v/E---3.1_16179.p',ruleD68) ).
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.LgGHPWJF8v/E---3.1_16179.p',ruleD44) ).
fof(c_0_27,negated_conjecture,
~ ! [X1,X2,X3,X8,X4,X11,X12,X19] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X4,X19)
& perp(X1,X2,X4,X11)
& perp(X1,X4,X2,X11)
& perp(X2,X4,X1,X11)
& perp(X1,X3,X4,X12)
& perp(X1,X4,X3,X12)
& perp(X3,X4,X1,X12) )
=> para(X11,X12,X2,X3) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL81109107]) ).
fof(c_0_28,plain,
! [X44,X45,X46,X47] :
( ~ perp(X44,X45,X46,X47)
| perp(X44,X45,X47,X46) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
fof(c_0_29,negated_conjecture,
( circle(esk24_0,esk21_0,esk22_0,esk23_0)
& circle(esk24_0,esk21_0,esk25_0,esk28_0)
& perp(esk21_0,esk22_0,esk25_0,esk26_0)
& perp(esk21_0,esk25_0,esk22_0,esk26_0)
& perp(esk22_0,esk25_0,esk21_0,esk26_0)
& perp(esk21_0,esk23_0,esk25_0,esk27_0)
& perp(esk21_0,esk25_0,esk23_0,esk27_0)
& perp(esk23_0,esk25_0,esk21_0,esk27_0)
& ~ para(esk26_0,esk27_0,esk22_0,esk23_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
fof(c_0_30,plain,
! [X48,X49,X50,X51] :
( ~ perp(X48,X49,X50,X51)
| perp(X50,X51,X48,X49) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_31,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,negated_conjecture,
perp(esk21_0,esk23_0,esk25_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_33,plain,
! [X488,X489,X490,X491] :
( ( coll(esk10_3(X488,X489,X490),X490,X489)
| ~ perp(X488,X491,X489,X490)
| ~ perp(X489,X491,X488,X490) )
& ( perp(X488,esk10_3(X488,X489,X490),X490,X489)
| ~ perp(X488,X491,X489,X490)
| ~ perp(X489,X491,X488,X490) )
& ( coll(esk11_3(X488,X489,X490),X490,X488)
| ~ perp(X488,X491,X489,X490)
| ~ perp(X489,X491,X488,X490) )
& ( perp(X489,esk11_3(X488,X489,X490),X490,X488)
| ~ perp(X488,X491,X489,X490)
| ~ perp(X489,X491,X488,X490) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX10])])])])])]) ).
cnf(c_0_34,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,negated_conjecture,
perp(esk21_0,esk23_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
perp(esk21_0,esk25_0,esk23_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_37,plain,
! [X52,X53,X54,X55,X56,X57] :
( ~ perp(X52,X53,X54,X55)
| ~ perp(X54,X55,X56,X57)
| para(X52,X53,X56,X57) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_38,plain,
( perp(X1,esk10_3(X1,X2,X3),X3,X2)
| ~ perp(X1,X4,X2,X3)
| ~ perp(X2,X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,negated_conjecture,
perp(esk27_0,esk25_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
perp(esk21_0,esk25_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_31,c_0_36]) ).
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_37]) ).
cnf(c_0_42,negated_conjecture,
perp(esk21_0,esk10_3(esk21_0,esk27_0,esk23_0),esk23_0,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
fof(c_0_43,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_44,negated_conjecture,
( para(X1,X2,esk23_0,esk27_0)
| ~ perp(X1,X2,esk21_0,esk10_3(esk21_0,esk27_0,esk23_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
perp(esk23_0,esk27_0,esk21_0,esk10_3(esk21_0,esk27_0,esk23_0)),
inference(spm,[status(thm)],[c_0_34,c_0_42]) ).
fof(c_0_46,plain,
! [X101,X102,X103,X104,X105,X106,X107,X108] :
( ~ eqangle(X101,X102,X103,X104,X105,X106,X107,X108)
| eqangle(X103,X104,X101,X102,X107,X108,X105,X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_47,plain,
! [X255,X256,X257,X258,X259,X260] :
( ~ para(X255,X256,X257,X258)
| eqangle(X255,X256,X259,X260,X257,X258,X259,X260) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_48,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_49,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,negated_conjecture,
para(esk23_0,esk27_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
fof(c_0_51,plain,
! [X249,X250,X251,X252,X253,X254] :
( ~ eqangle(X249,X250,X253,X254,X251,X252,X253,X254)
| para(X249,X250,X251,X252) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_52,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_46]) ).
cnf(c_0_53,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,negated_conjecture,
para(esk23_0,esk27_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
para(esk27_0,esk23_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
fof(c_0_59,plain,
! [X384,X385,X386] :
( ~ para(X384,X385,X384,X386)
| coll(X384,X385,X386) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_60,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_61,negated_conjecture,
para(esk27_0,esk23_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_49,c_0_58]) ).
fof(c_0_62,plain,
! [X23,X24,X25] :
( ~ coll(X23,X24,X25)
| coll(X24,X23,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_63,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_64,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
fof(c_0_65,plain,
! [X20,X21,X22] :
( ~ coll(X20,X21,X22)
| coll(X20,X22,X21) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_66,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_67,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
fof(c_0_68,plain,
! [X269,X270,X271,X272] :
( ~ eqangle(X271,X269,X271,X270,X272,X269,X272,X270)
| ~ coll(X271,X272,X270)
| cyclic(X269,X270,X271,X272) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_69,plain,
! [X26,X27,X28,X29] :
( ~ coll(X26,X27,X28)
| ~ coll(X26,X27,X29)
| coll(X28,X29,X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_70,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_71,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,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_68]) ).
cnf(c_0_73,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_74,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
fof(c_0_75,plain,
! [X80,X81,X82,X83] :
( ~ cyclic(X80,X81,X82,X83)
| cyclic(X80,X82,X81,X83) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_76,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_53]) ).
cnf(c_0_77,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_74])]) ).
fof(c_0_78,plain,
! [X76,X77,X78,X79] :
( ~ cyclic(X76,X77,X78,X79)
| cyclic(X76,X77,X79,X78) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_79,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_80,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_64])]),c_0_77])]) ).
fof(c_0_81,plain,
! [X84,X85,X86,X87] :
( ~ cyclic(X84,X85,X86,X87)
| cyclic(X85,X84,X86,X87) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_82,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_83,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
fof(c_0_84,plain,
! [X273,X274,X275,X276,X277,X278] :
( ~ cyclic(X273,X274,X275,X276)
| ~ cyclic(X273,X274,X275,X277)
| ~ cyclic(X273,X274,X275,X278)
| ~ eqangle(X275,X273,X275,X274,X278,X276,X278,X277)
| cong(X273,X274,X276,X277) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_85,plain,
! [X88,X89,X90,X91,X92] :
( ~ cyclic(X88,X89,X90,X91)
| ~ cyclic(X88,X89,X90,X92)
| cyclic(X89,X90,X91,X92) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_86,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_87,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_88,plain,
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X6)
| ~ eqangle(X3,X1,X3,X2,X6,X4,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_89,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_90,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
fof(c_0_91,plain,
! [X284,X285,X286,X287,X288] :
( ~ midp(X287,X284,X285)
| ~ para(X287,X288,X285,X286)
| ~ coll(X288,X284,X286)
| midp(X288,X284,X286) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
fof(c_0_92,plain,
! [X387,X388,X389] :
( ~ cong(X387,X388,X387,X389)
| ~ coll(X387,X388,X389)
| midp(X387,X388,X389) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_93,plain,
( cong(X1,X2,X3,X2)
| ~ cyclic(X1,X2,X4,X4)
| ~ cyclic(X1,X2,X4,X2)
| ~ cyclic(X1,X2,X4,X3)
| ~ para(X4,X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_88,c_0_53]) ).
cnf(c_0_94,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_90])]) ).
fof(c_0_95,plain,
! [X410,X411,X412,X413,X414,X415,X416,X417] :
( ~ eqangle(X410,X411,X412,X413,X414,X415,X416,X417)
| ~ para(X414,X415,X416,X417)
| para(X410,X411,X412,X413) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_96,plain,
! [X261,X262,X263,X264] :
( ~ cyclic(X261,X262,X263,X264)
| eqangle(X263,X261,X263,X262,X264,X261,X264,X262) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
cnf(c_0_97,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_91]) ).
cnf(c_0_98,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_99,plain,
( cong(X1,X2,X3,X2)
| ~ para(X4,X1,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_80])]),c_0_94]),c_0_94])]) ).
cnf(c_0_100,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_95]) ).
cnf(c_0_101,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
fof(c_0_102,plain,
! [X289,X290,X291] :
( ~ cong(X291,X289,X291,X290)
| eqangle(X291,X289,X289,X290,X289,X290,X291,X290) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_103,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_77])]) ).
cnf(c_0_104,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_49,c_0_64]) ).
cnf(c_0_105,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_77])]) ).
cnf(c_0_106,negated_conjecture,
cong(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_99,c_0_64]) ).
cnf(c_0_107,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_108,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
fof(c_0_109,plain,
! [X390,X391,X392] :
( ~ midp(X390,X391,X392)
| cong(X390,X391,X390,X392) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_110,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_111,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_112,plain,
( para(X1,X2,X1,X3)
| ~ para(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_94])]) ).
cnf(c_0_113,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_108]) ).
cnf(c_0_114,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_115,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_116,plain,
( para(X1,X2,X1,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_117,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_118,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_103,c_0_64]) ).
fof(c_0_119,plain,
! [X279,X280,X281,X282,X283] :
( ~ midp(X282,X279,X280)
| ~ midp(X283,X279,X281)
| para(X282,X283,X280,X281) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_120,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117])]) ).
cnf(c_0_121,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_118,c_0_111]) ).
cnf(c_0_122,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_123,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_120]),c_0_121])]) ).
cnf(c_0_124,negated_conjecture,
~ para(esk26_0,esk27_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_125,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123]),c_0_123])]) ).
cnf(c_0_126,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_125])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : GEO641+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n024.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Oct 3 06:31:26 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.LgGHPWJF8v/E---3.1_16179.p
% 2.03/0.73 # Version: 3.1pre001
% 2.03/0.73 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.03/0.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.03/0.73 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.03/0.73 # Starting new_bool_3 with 300s (1) cores
% 2.03/0.73 # Starting new_bool_1 with 300s (1) cores
% 2.03/0.73 # Starting sh5l with 300s (1) cores
% 2.03/0.73 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 16257 completed with status 0
% 2.03/0.73 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.03/0.73 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.03/0.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.03/0.73 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.03/0.73 # No SInE strategy applied
% 2.03/0.73 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.03/0.73 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.03/0.73 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.03/0.73 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 2.03/0.73 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.03/0.73 # Starting new_bool_3 with 136s (1) cores
% 2.03/0.73 # Starting new_bool_1 with 136s (1) cores
% 2.03/0.74 # Starting sh5l with 136s (1) cores
% 2.03/0.74 # SAT001_MinMin_p005000_rr_RG with pid 16263 completed with status 0
% 2.03/0.74 # Result found by SAT001_MinMin_p005000_rr_RG
% 2.03/0.74 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.03/0.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.03/0.74 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.03/0.74 # No SInE strategy applied
% 2.03/0.74 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.03/0.74 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.03/0.74 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.03/0.74 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 2.03/0.74 # Preprocessing time : 0.002 s
% 2.03/0.74 # Presaturation interreduction done
% 2.03/0.74
% 2.03/0.74 # Proof found!
% 2.03/0.74 # SZS status Theorem
% 2.03/0.74 # SZS output start CNFRefutation
% See solution above
% 2.03/0.74 # Parsed axioms : 95
% 2.03/0.74 # Removed by relevancy pruning/SinE : 0
% 2.03/0.74 # Initial clauses : 122
% 2.03/0.74 # Removed in clause preprocessing : 0
% 2.03/0.74 # Initial clauses in saturation : 122
% 2.03/0.74 # Processed clauses : 2893
% 2.03/0.74 # ...of these trivial : 474
% 2.03/0.74 # ...subsumed : 249
% 2.03/0.74 # ...remaining for further processing : 2170
% 2.03/0.74 # Other redundant clauses eliminated : 0
% 2.03/0.74 # Clauses deleted for lack of memory : 0
% 2.03/0.74 # Backward-subsumed : 306
% 2.03/0.74 # Backward-rewritten : 1413
% 2.03/0.74 # Generated clauses : 20831
% 2.03/0.74 # ...of the previous two non-redundant : 10473
% 2.03/0.74 # ...aggressively subsumed : 0
% 2.03/0.74 # Contextual simplify-reflections : 2
% 2.03/0.74 # Paramodulations : 20831
% 2.03/0.74 # Factorizations : 0
% 2.03/0.74 # NegExts : 0
% 2.03/0.74 # Equation resolutions : 0
% 2.03/0.74 # Total rewrite steps : 14215
% 2.03/0.74 # Propositional unsat checks : 0
% 2.03/0.74 # Propositional check models : 0
% 2.03/0.74 # Propositional check unsatisfiable : 0
% 2.03/0.74 # Propositional clauses : 0
% 2.03/0.74 # Propositional clauses after purity: 0
% 2.03/0.74 # Propositional unsat core size : 0
% 2.03/0.74 # Propositional preprocessing time : 0.000
% 2.03/0.74 # Propositional encoding time : 0.000
% 2.03/0.74 # Propositional solver time : 0.000
% 2.03/0.74 # Success case prop preproc time : 0.000
% 2.03/0.74 # Success case prop encoding time : 0.000
% 2.03/0.74 # Success case prop solver time : 0.000
% 2.03/0.74 # Current number of processed clauses : 330
% 2.03/0.74 # Positive orientable unit clauses : 285
% 2.03/0.74 # Positive unorientable unit clauses: 0
% 2.03/0.74 # Negative unit clauses : 0
% 2.03/0.74 # Non-unit-clauses : 45
% 2.03/0.74 # Current number of unprocessed clauses: 7071
% 2.03/0.74 # ...number of literals in the above : 20669
% 2.03/0.74 # Current number of archived formulas : 0
% 2.03/0.74 # Current number of archived clauses : 1840
% 2.03/0.74 # Clause-clause subsumption calls (NU) : 109255
% 2.03/0.74 # Rec. Clause-clause subsumption calls : 99340
% 2.03/0.74 # Non-unit clause-clause subsumptions : 273
% 2.03/0.74 # Unit Clause-clause subsumption calls : 58435
% 2.03/0.74 # Rewrite failures with RHS unbound : 0
% 2.03/0.74 # BW rewrite match attempts : 8453
% 2.03/0.74 # BW rewrite match successes : 1073
% 2.03/0.74 # Condensation attempts : 0
% 2.03/0.74 # Condensation successes : 0
% 2.03/0.74 # Termbank termtop insertions : 217616
% 2.03/0.74
% 2.03/0.74 # -------------------------------------------------
% 2.03/0.74 # User time : 0.288 s
% 2.03/0.74 # System time : 0.009 s
% 2.03/0.74 # Total time : 0.297 s
% 2.03/0.74 # Maximum resident set size: 2572 pages
% 2.03/0.74
% 2.03/0.74 # -------------------------------------------------
% 2.03/0.74 # User time : 1.366 s
% 2.03/0.74 # System time : 0.025 s
% 2.03/0.74 # Total time : 1.391 s
% 2.03/0.74 # Maximum resident set size: 1876 pages
% 2.03/0.74 % E---3.1 exiting
% 2.03/0.74 % E---3.1 exiting
%------------------------------------------------------------------------------