TSTP Solution File: GEO580+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GEO580+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 : 300s
% WCLimit : 300s
% DateTime : Sat May 4 07:43:23 EDT 2024
% Result : Theorem 1.88s 0.65s
% Output : CNFRefutation 1.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 25
% Syntax : Number of formulae : 143 ( 55 unt; 0 def)
% Number of atoms : 297 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 244 ( 90 ~; 87 |; 41 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-6 aty)
% Number of variables : 414 ( 24 sgn 238 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416042,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14] :
( ( eqangle(X4,X1,X1,X2,X4,X1,X1,X3)
& eqangle(X4,X2,X2,X3,X4,X2,X2,X1)
& eqangle(X4,X3,X3,X1,X4,X3,X3,X2)
& perp(X5,X1,X2,X3)
& coll(X5,X2,X3)
& perp(X6,X2,X1,X4)
& coll(X6,X1,X4)
& perp(X13,X3,X1,X4)
& coll(X13,X1,X4)
& midp(X14,X3,X2) )
=> cyclic(X5,X6,X13,X14) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',exemplo6GDDFULL416042) ).
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/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD19) ).
fof(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD21) ).
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/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD39) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD2) ).
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/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD73) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD3) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD66) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD4) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD1) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD5) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD69) ).
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/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD64) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD68) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD23) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD24) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD63) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> ( midp(X9,X1,X4)
& para(X9,X7,X2,X4)
& para(X9,X17,X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleX6) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD67) ).
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/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD40) ).
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/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD42b) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD14) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.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/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p',ruleD17) ).
fof(c_0_25,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14] :
( ( eqangle(X4,X1,X1,X2,X4,X1,X1,X3)
& eqangle(X4,X2,X2,X3,X4,X2,X2,X1)
& eqangle(X4,X3,X3,X1,X4,X3,X3,X2)
& perp(X5,X1,X2,X3)
& coll(X5,X2,X3)
& perp(X6,X2,X1,X4)
& coll(X6,X1,X4)
& perp(X13,X3,X1,X4)
& coll(X13,X1,X4)
& midp(X14,X3,X2) )
=> cyclic(X5,X6,X13,X14) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416042]) ).
fof(c_0_26,plain,
! [X273,X274,X275,X276,X277,X278,X279,X280] :
( ~ eqangle(X273,X274,X275,X276,X277,X278,X279,X280)
| eqangle(X275,X276,X273,X274,X279,X280,X277,X278) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_27,negated_conjecture,
( eqangle(esk4_0,esk1_0,esk1_0,esk2_0,esk4_0,esk1_0,esk1_0,esk3_0)
& eqangle(esk4_0,esk2_0,esk2_0,esk3_0,esk4_0,esk2_0,esk2_0,esk1_0)
& eqangle(esk4_0,esk3_0,esk3_0,esk1_0,esk4_0,esk3_0,esk3_0,esk2_0)
& perp(esk5_0,esk1_0,esk2_0,esk3_0)
& coll(esk5_0,esk2_0,esk3_0)
& perp(esk6_0,esk2_0,esk1_0,esk4_0)
& coll(esk6_0,esk1_0,esk4_0)
& perp(esk7_0,esk3_0,esk1_0,esk4_0)
& coll(esk7_0,esk1_0,esk4_0)
& midp(esk8_0,esk3_0,esk2_0)
& ~ cyclic(esk5_0,esk6_0,esk7_0,esk8_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).
fof(c_0_28,plain,
! [X289,X290,X291,X292,X293,X294,X295,X296] :
( ~ eqangle(X289,X290,X291,X292,X293,X294,X295,X296)
| eqangle(X289,X290,X293,X294,X291,X292,X295,X296) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])])]) ).
fof(c_0_29,plain,
! [X309,X310,X311,X312,X313,X314] :
( ~ eqangle(X309,X310,X313,X314,X311,X312,X313,X314)
| para(X309,X310,X311,X312) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_30,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_26]) ).
cnf(c_0_31,negated_conjecture,
eqangle(esk4_0,esk3_0,esk3_0,esk1_0,esk4_0,esk3_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_32,plain,
! [X163,X164,X165] :
( ~ coll(X163,X164,X165)
| coll(X164,X163,X165) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
fof(c_0_33,plain,
! [X324,X325,X326,X327,X328,X329,X330,X331] :
( ~ eqangle(X324,X325,X326,X327,X328,X329,X330,X331)
| ~ para(X328,X329,X330,X331)
| para(X324,X325,X326,X327) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
cnf(c_0_34,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
eqangle(esk3_0,esk1_0,esk4_0,esk3_0,esk3_0,esk2_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
eqangle(esk4_0,esk1_0,esk1_0,esk2_0,esk4_0,esk1_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_38,plain,
! [X166,X167,X168,X169] :
( ~ coll(X166,X167,X168)
| ~ coll(X166,X167,X169)
| coll(X168,X169,X166) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_39,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
coll(esk5_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_41,plain,
! [X173,X174,X175] :
( ~ para(X173,X174,X173,X175)
| coll(X173,X174,X175) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_42,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_33]) ).
cnf(c_0_43,negated_conjecture,
eqangle(esk4_0,esk3_0,esk4_0,esk3_0,esk3_0,esk1_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_34,c_0_31]) ).
cnf(c_0_44,negated_conjecture,
para(esk3_0,esk1_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_45,negated_conjecture,
eqangle(esk1_0,esk2_0,esk4_0,esk1_0,esk1_0,esk3_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_30,c_0_37]) ).
cnf(c_0_46,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,negated_conjecture,
coll(esk2_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_48,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,negated_conjecture,
para(esk4_0,esk3_0,esk4_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
fof(c_0_50,plain,
! [X346,X347,X348,X349] :
( ~ para(X346,X347,X348,X349)
| para(X346,X347,X349,X348) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
cnf(c_0_51,negated_conjecture,
eqangle(esk4_0,esk1_0,esk4_0,esk1_0,esk1_0,esk2_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_34,c_0_37]) ).
cnf(c_0_52,negated_conjecture,
para(esk1_0,esk2_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_35,c_0_45]) ).
cnf(c_0_53,negated_conjecture,
( coll(X1,esk3_0,esk2_0)
| ~ coll(esk2_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_54,plain,
! [X160,X161,X162] :
( ~ coll(X160,X161,X162)
| coll(X160,X162,X161) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_55,negated_conjecture,
coll(esk4_0,esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_56,plain,
! [X350,X351,X352,X353] :
( ~ para(X350,X351,X352,X353)
| para(X352,X353,X350,X351) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
cnf(c_0_57,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,negated_conjecture,
para(esk4_0,esk1_0,esk4_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_51]),c_0_52])]) ).
fof(c_0_59,plain,
! [X129,X130,X131] :
( ~ midp(X129,X130,X131)
| coll(X129,X130,X131) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).
cnf(c_0_60,negated_conjecture,
coll(esk3_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_53,c_0_47]) ).
cnf(c_0_61,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_62,negated_conjecture,
coll(esk3_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_39,c_0_55]) ).
cnf(c_0_63,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_64,negated_conjecture,
para(esk4_0,esk1_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,negated_conjecture,
para(esk1_0,esk2_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_57,c_0_52]) ).
cnf(c_0_66,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_67,negated_conjecture,
midp(esk8_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_68,negated_conjecture,
( coll(X1,esk2_0,esk3_0)
| ~ coll(esk3_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_60]) ).
cnf(c_0_69,negated_conjecture,
coll(esk3_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_70,plain,
! [X118,X119,X120,X121,X122] :
( ~ midp(X122,X118,X119)
| ~ para(X118,X120,X119,X121)
| ~ para(X118,X121,X119,X120)
| midp(X122,X120,X121) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_71,negated_conjecture,
para(esk1_0,esk4_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_72,negated_conjecture,
para(esk3_0,esk1_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_63,c_0_65]) ).
cnf(c_0_73,negated_conjecture,
coll(esk8_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_74,negated_conjecture,
coll(esk4_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
fof(c_0_75,plain,
! [X126,X127,X128] :
( ~ midp(X126,X127,X128)
| cong(X126,X127,X126,X128) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_76,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_70]) ).
cnf(c_0_77,negated_conjecture,
para(esk1_0,esk4_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_57,c_0_71]) ).
cnf(c_0_78,negated_conjecture,
para(esk3_0,esk1_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_57,c_0_72]) ).
cnf(c_0_79,negated_conjecture,
coll(esk3_0,esk8_0,esk2_0),
inference(spm,[status(thm)],[c_0_39,c_0_73]) ).
cnf(c_0_80,negated_conjecture,
coll(esk4_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_61,c_0_74]) ).
cnf(c_0_81,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_82,negated_conjecture,
( midp(X1,esk4_0,esk4_0)
| ~ midp(X1,esk1_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_77])]) ).
cnf(c_0_83,negated_conjecture,
( midp(X1,esk1_0,esk1_0)
| ~ midp(X1,esk3_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_78]),c_0_78])]) ).
cnf(c_0_84,negated_conjecture,
coll(esk3_0,esk2_0,esk8_0),
inference(spm,[status(thm)],[c_0_61,c_0_79]) ).
cnf(c_0_85,negated_conjecture,
coll(esk3_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_39,c_0_80]) ).
fof(c_0_86,plain,
! [X332,X333,X334,X335] :
( ~ cong(X332,X333,X334,X335)
| cong(X332,X333,X335,X334) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).
cnf(c_0_87,negated_conjecture,
( cong(X1,esk4_0,X1,esk4_0)
| ~ midp(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_88,negated_conjecture,
midp(esk8_0,esk1_0,esk1_0),
inference(spm,[status(thm)],[c_0_83,c_0_67]) ).
cnf(c_0_89,negated_conjecture,
( coll(X1,esk8_0,esk3_0)
| ~ coll(esk3_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_84]) ).
cnf(c_0_90,negated_conjecture,
coll(esk3_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_61,c_0_85]) ).
fof(c_0_91,plain,
! [X336,X337,X338,X339] :
( ~ cong(X336,X337,X338,X339)
| cong(X338,X339,X336,X337) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).
cnf(c_0_92,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_93,negated_conjecture,
cong(esk8_0,esk4_0,esk8_0,esk4_0),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_94,negated_conjecture,
coll(esk8_0,esk8_0,esk3_0),
inference(spm,[status(thm)],[c_0_89,c_0_84]) ).
cnf(c_0_95,negated_conjecture,
coll(esk4_0,esk8_0,esk3_0),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
fof(c_0_96,plain,
! [X113,X114,X115,X116,X117] :
( ~ midp(X117,X113,X114)
| ~ midp(X117,X115,X116)
| para(X113,X115,X114,X116) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])]) ).
fof(c_0_97,plain,
! [X132,X133,X134,X135,X136,X137] :
( ( midp(esk12_6(X132,X133,X134,X135,X136,X137),X132,X135)
| ~ midp(X136,X132,X133)
| ~ midp(X137,X134,X135) )
& ( para(esk12_6(X132,X133,X134,X135,X136,X137),X136,X133,X135)
| ~ midp(X136,X132,X133)
| ~ midp(X137,X134,X135) )
& ( para(esk12_6(X132,X133,X134,X135,X136,X137),X137,X132,X134)
| ~ midp(X136,X132,X133)
| ~ midp(X137,X134,X135) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])])]) ).
cnf(c_0_98,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_99,negated_conjecture,
cong(esk8_0,esk4_0,esk4_0,esk8_0),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_100,negated_conjecture,
coll(esk8_0,esk3_0,esk8_0),
inference(spm,[status(thm)],[c_0_61,c_0_94]) ).
cnf(c_0_101,negated_conjecture,
coll(esk8_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_39,c_0_95]) ).
cnf(c_0_102,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_103,plain,
( midp(esk12_6(X1,X2,X3,X4,X5,X6),X1,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
fof(c_0_104,plain,
! [X123,X124,X125] :
( ~ cong(X123,X124,X123,X125)
| ~ coll(X123,X124,X125)
| midp(X123,X124,X125) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).
cnf(c_0_105,negated_conjecture,
cong(esk4_0,esk8_0,esk8_0,esk4_0),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_106,negated_conjecture,
( coll(X1,esk8_0,esk8_0)
| ~ coll(esk8_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_100]) ).
cnf(c_0_107,negated_conjecture,
coll(esk8_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_61,c_0_101]) ).
fof(c_0_108,plain,
! [X315,X316,X317,X318,X319,X320] :
( ~ para(X315,X316,X317,X318)
| eqangle(X315,X316,X319,X320,X317,X318,X319,X320) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
cnf(c_0_109,plain,
( para(X1,X2,X3,X4)
| ~ midp(esk12_6(X2,X5,X6,X4,X7,X8),X1,X3)
| ~ midp(X8,X6,X4)
| ~ midp(X7,X2,X5) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_110,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_111,negated_conjecture,
cong(esk4_0,esk8_0,esk4_0,esk8_0),
inference(spm,[status(thm)],[c_0_92,c_0_105]) ).
cnf(c_0_112,negated_conjecture,
coll(esk4_0,esk8_0,esk8_0),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_113,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_114,plain,
( para(X1,X1,X2,X2)
| ~ midp(X3,X4,X2)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_109,c_0_103]) ).
cnf(c_0_115,negated_conjecture,
midp(esk4_0,esk8_0,esk8_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]) ).
cnf(c_0_116,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_30,c_0_113]) ).
cnf(c_0_117,negated_conjecture,
( para(X1,X1,esk8_0,esk8_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_118,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_116]) ).
cnf(c_0_119,negated_conjecture,
para(esk8_0,esk8_0,esk8_0,esk8_0),
inference(spm,[status(thm)],[c_0_117,c_0_115]) ).
cnf(c_0_120,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_121,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_48,c_0_120]) ).
fof(c_0_122,plain,
! [X57,X58,X59,X60] :
( ~ eqangle(X59,X57,X59,X58,X60,X57,X60,X58)
| ~ coll(X59,X60,X58)
| cyclic(X57,X58,X59,X60) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
cnf(c_0_123,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_39,c_0_121]) ).
cnf(c_0_124,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_122]) ).
cnf(c_0_125,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_61,c_0_123]) ).
fof(c_0_126,plain,
! [X36,X37,X38,X39] :
( ~ cyclic(X36,X37,X38,X39)
| cyclic(X36,X38,X37,X39) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).
cnf(c_0_127,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_113]) ).
cnf(c_0_128,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_125]),c_0_125])]) ).
fof(c_0_129,plain,
! [X32,X33,X34,X35] :
( ~ cyclic(X32,X33,X34,X35)
| cyclic(X32,X33,X35,X34) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).
cnf(c_0_130,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_131,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_120])]),c_0_128])]) ).
fof(c_0_132,plain,
! [X40,X41,X42,X43] :
( ~ cyclic(X40,X41,X42,X43)
| cyclic(X41,X40,X42,X43) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).
cnf(c_0_133,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_134,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
fof(c_0_135,plain,
! [X44,X45,X46,X47,X48] :
( ~ cyclic(X44,X45,X46,X47)
| ~ cyclic(X44,X45,X46,X48)
| cyclic(X45,X46,X47,X48) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_136,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_137,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_138,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_139,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_140,negated_conjecture,
~ cyclic(esk5_0,esk6_0,esk7_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_141,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_139])]) ).
cnf(c_0_142,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO580+1 : TPTP v8.1.2. Released v7.5.0.
% 0.05/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 18:26:07 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.CY25BS4SJE/E---3.1_4194.p
% 1.88/0.65 # Version: 3.1.0
% 1.88/0.65 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.88/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.88/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.88/0.65 # Starting new_bool_3 with 300s (1) cores
% 1.88/0.65 # Starting new_bool_1 with 300s (1) cores
% 1.88/0.65 # Starting sh5l with 300s (1) cores
% 1.88/0.65 # new_bool_1 with pid 4276 completed with status 0
% 1.88/0.65 # Result found by new_bool_1
% 1.88/0.65 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.88/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.88/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.88/0.65 # Starting new_bool_3 with 300s (1) cores
% 1.88/0.65 # Starting new_bool_1 with 300s (1) cores
% 1.88/0.65 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.88/0.65 # Search class: FGUSF-FFLM33-SFFFFFNN
% 1.88/0.65 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 1.88/0.65 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.88/0.65 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.88/0.65 # SAT001_MinMin_p005000_rr_RG with pid 4278 completed with status 0
% 1.88/0.65 # Result found by SAT001_MinMin_p005000_rr_RG
% 1.88/0.65 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.88/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.88/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.88/0.65 # Starting new_bool_3 with 300s (1) cores
% 1.88/0.65 # Starting new_bool_1 with 300s (1) cores
% 1.88/0.65 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.88/0.65 # Search class: FGUSF-FFLM33-SFFFFFNN
% 1.88/0.65 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 1.88/0.65 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.88/0.65 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.88/0.65 # Preprocessing time : 0.002 s
% 1.88/0.65 # Presaturation interreduction done
% 1.88/0.65
% 1.88/0.65 # Proof found!
% 1.88/0.65 # SZS status Theorem
% 1.88/0.65 # SZS output start CNFRefutation
% See solution above
% 1.88/0.66 # Parsed axioms : 95
% 1.88/0.66 # Removed by relevancy pruning/SinE : 21
% 1.88/0.66 # Initial clauses : 103
% 1.88/0.66 # Removed in clause preprocessing : 0
% 1.88/0.66 # Initial clauses in saturation : 103
% 1.88/0.66 # Processed clauses : 2860
% 1.88/0.66 # ...of these trivial : 267
% 1.88/0.66 # ...subsumed : 466
% 1.88/0.66 # ...remaining for further processing : 2127
% 1.88/0.66 # Other redundant clauses eliminated : 0
% 1.88/0.66 # Clauses deleted for lack of memory : 0
% 1.88/0.66 # Backward-subsumed : 12
% 1.88/0.66 # Backward-rewritten : 1292
% 1.88/0.66 # Generated clauses : 15352
% 1.88/0.66 # ...of the previous two non-redundant : 9112
% 1.88/0.66 # ...aggressively subsumed : 0
% 1.88/0.66 # Contextual simplify-reflections : 2
% 1.88/0.66 # Paramodulations : 15352
% 1.88/0.66 # Factorizations : 0
% 1.88/0.66 # NegExts : 0
% 1.88/0.66 # Equation resolutions : 0
% 1.88/0.66 # Disequality decompositions : 0
% 1.88/0.66 # Total rewrite steps : 8357
% 1.88/0.66 # ...of those cached : 6763
% 1.88/0.66 # Propositional unsat checks : 0
% 1.88/0.66 # Propositional check models : 0
% 1.88/0.66 # Propositional check unsatisfiable : 0
% 1.88/0.66 # Propositional clauses : 0
% 1.88/0.66 # Propositional clauses after purity: 0
% 1.88/0.66 # Propositional unsat core size : 0
% 1.88/0.66 # Propositional preprocessing time : 0.000
% 1.88/0.66 # Propositional encoding time : 0.000
% 1.88/0.66 # Propositional solver time : 0.000
% 1.88/0.66 # Success case prop preproc time : 0.000
% 1.88/0.66 # Success case prop encoding time : 0.000
% 1.88/0.66 # Success case prop solver time : 0.000
% 1.88/0.66 # Current number of processed clauses : 721
% 1.88/0.66 # Positive orientable unit clauses : 211
% 1.88/0.66 # Positive unorientable unit clauses: 0
% 1.88/0.66 # Negative unit clauses : 0
% 1.88/0.66 # Non-unit-clauses : 510
% 1.88/0.66 # Current number of unprocessed clauses: 6364
% 1.88/0.66 # ...number of literals in the above : 19878
% 1.88/0.66 # Current number of archived formulas : 0
% 1.88/0.66 # Current number of archived clauses : 1406
% 1.88/0.66 # Clause-clause subsumption calls (NU) : 81238
% 1.88/0.66 # Rec. Clause-clause subsumption calls : 77786
% 1.88/0.66 # Non-unit clause-clause subsumptions : 480
% 1.88/0.66 # Unit Clause-clause subsumption calls : 16219
% 1.88/0.66 # Rewrite failures with RHS unbound : 0
% 1.88/0.66 # BW rewrite match attempts : 5579
% 1.88/0.66 # BW rewrite match successes : 852
% 1.88/0.66 # Condensation attempts : 0
% 1.88/0.66 # Condensation successes : 0
% 1.88/0.66 # Termbank termtop insertions : 168736
% 1.88/0.66 # Search garbage collected termcells : 2588
% 1.88/0.66
% 1.88/0.66 # -------------------------------------------------
% 1.88/0.66 # User time : 0.227 s
% 1.88/0.66 # System time : 0.009 s
% 1.88/0.66 # Total time : 0.236 s
% 1.88/0.66 # Maximum resident set size: 2360 pages
% 1.88/0.66
% 1.88/0.66 # -------------------------------------------------
% 1.88/0.66 # User time : 0.229 s
% 1.88/0.66 # System time : 0.011 s
% 1.88/0.66 # Total time : 0.240 s
% 1.88/0.66 # Maximum resident set size: 1892 pages
% 1.88/0.66 % E---3.1 exiting
% 1.88/0.66 % E exiting
%------------------------------------------------------------------------------