TSTP Solution File: GEO636+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO636+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:33:14 EDT 2023
% Result : Theorem 0.23s 0.77s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 28
% Syntax : Number of formulae : 120 ( 24 unt; 0 def)
% Number of atoms : 273 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 254 ( 101 ~; 98 |; 26 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 491 ( 31 sgn; 270 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL8110999,conjecture,
! [X1,X2,X3,X7,X17,X10,X9] :
( ( eqangle(X3,X1,X1,X17,X7,X1,X1,X2)
& perp(X10,X7,X1,X2)
& coll(X10,X1,X2)
& perp(X9,X7,X1,X3)
& coll(X9,X1,X3) )
=> perp(X1,X17,X9,X10) ),
file('/export/starexec/sandbox2/tmp/tmp.cQvCfJDGht/E---3.1_8030.p',exemplo6GDDFULL8110999) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.cQvCfJDGht/E---3.1_8030.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.cQvCfJDGht/E---3.1_8030.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.cQvCfJDGht/E---3.1_8030.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.cQvCfJDGht/E---3.1_8030.p',ruleD40) ).
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.cQvCfJDGht/E---3.1_8030.p',ruleD9) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.cQvCfJDGht/E---3.1_8030.p',ruleD39) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.cQvCfJDGht/E---3.1_8030.p',ruleD5) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.cQvCfJDGht/E---3.1_8030.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.cQvCfJDGht/E---3.1_8030.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.cQvCfJDGht/E---3.1_8030.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.cQvCfJDGht/E---3.1_8030.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.cQvCfJDGht/E---3.1_8030.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.cQvCfJDGht/E---3.1_8030.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.cQvCfJDGht/E---3.1_8030.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.cQvCfJDGht/E---3.1_8030.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.cQvCfJDGht/E---3.1_8030.p',ruleD43) ).
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.cQvCfJDGht/E---3.1_8030.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.cQvCfJDGht/E---3.1_8030.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.cQvCfJDGht/E---3.1_8030.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.cQvCfJDGht/E---3.1_8030.p',ruleD67) ).
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.cQvCfJDGht/E---3.1_8030.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.cQvCfJDGht/E---3.1_8030.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.cQvCfJDGht/E---3.1_8030.p',ruleD73) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.cQvCfJDGht/E---3.1_8030.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.cQvCfJDGht/E---3.1_8030.p',ruleD4) ).
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.cQvCfJDGht/E---3.1_8030.p',ruleD56) ).
fof(ruleD74,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& perp(X9,X10,X11,X12) )
=> perp(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.cQvCfJDGht/E---3.1_8030.p',ruleD74) ).
fof(c_0_28,negated_conjecture,
~ ! [X1,X2,X3,X7,X17,X10,X9] :
( ( eqangle(X3,X1,X1,X17,X7,X1,X1,X2)
& perp(X10,X7,X1,X2)
& coll(X10,X1,X2)
& perp(X9,X7,X1,X3)
& coll(X9,X1,X3) )
=> perp(X1,X17,X9,X10) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110999]) ).
fof(c_0_29,plain,
! [X26,X27,X28,X29] :
( ~ perp(X26,X27,X28,X29)
| perp(X26,X27,X29,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
fof(c_0_30,negated_conjecture,
( eqangle(esk3_0,esk1_0,esk1_0,esk5_0,esk4_0,esk1_0,esk1_0,esk2_0)
& perp(esk6_0,esk4_0,esk1_0,esk2_0)
& coll(esk6_0,esk1_0,esk2_0)
& perp(esk7_0,esk4_0,esk1_0,esk3_0)
& coll(esk7_0,esk1_0,esk3_0)
& ~ perp(esk1_0,esk5_0,esk7_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_31,plain,
! [X30,X31,X32,X33] :
( ~ perp(X30,X31,X32,X33)
| perp(X32,X33,X30,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_32,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,negated_conjecture,
perp(esk7_0,esk4_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_34,plain,
! [X245,X246,X247,X248,X249,X250,X251,X252] :
( ~ eqangle(X245,X246,X247,X248,X249,X250,X251,X252)
| eqangle(X247,X248,X245,X246,X251,X252,X249,X250) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_35,plain,
! [X287,X288,X289,X290,X291,X292] :
( ~ para(X287,X288,X289,X290)
| eqangle(X287,X288,X291,X292,X289,X290,X291,X292) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_36,plain,
! [X34,X35,X36,X37,X38,X39] :
( ~ perp(X34,X35,X36,X37)
| ~ perp(X36,X37,X38,X39)
| para(X34,X35,X38,X39) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_37,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,negated_conjecture,
perp(esk7_0,esk4_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_39,plain,
! [X281,X282,X283,X284,X285,X286] :
( ~ eqangle(X281,X282,X285,X286,X283,X284,X285,X286)
| para(X281,X282,X283,X284) ),
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_34]) ).
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_35]) ).
fof(c_0_42,plain,
! [X333,X334,X335,X336] :
( ~ para(X333,X334,X335,X336)
| para(X335,X336,X333,X334) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_43,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,negated_conjecture,
perp(esk3_0,esk1_0,esk7_0,esk4_0),
inference(spm,[status(thm)],[c_0_37,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(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( para(X1,X2,esk7_0,esk4_0)
| ~ perp(X1,X2,esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_49,plain,
! [X187,X188,X189] :
( ~ para(X187,X188,X187,X189)
| coll(X187,X188,X189) ),
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,esk4_0,X1,X2)
| ~ perp(X1,X2,esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_52,plain,
! [X148,X149,X150] :
( ~ coll(X148,X149,X150)
| coll(X149,X148,X150) ),
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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_38])]) ).
fof(c_0_55,plain,
! [X145,X146,X147] :
( ~ coll(X145,X146,X147)
| coll(X145,X147,X146) ),
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,
! [X159,X160,X161,X162] :
( ~ eqangle(X161,X159,X161,X160,X162,X159,X162,X160)
| ~ coll(X161,X162,X160)
| cyclic(X159,X160,X161,X162) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_59,plain,
! [X151,X152,X153,X154] :
( ~ coll(X151,X152,X153)
| ~ coll(X151,X152,X154)
| coll(X153,X154,X151) ),
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,
! [X430,X431,X432,X433] :
( ~ cyclic(X430,X431,X432,X433)
| cyclic(X430,X432,X431,X433) ),
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,
! [X426,X427,X428,X429] :
( ~ cyclic(X426,X427,X428,X429)
| cyclic(X426,X427,X429,X428) ),
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,
! [X434,X435,X436,X437] :
( ~ cyclic(X434,X435,X436,X437)
| cyclic(X435,X434,X436,X437) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_72,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_73,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_74,plain,
! [X297,X298,X299,X300,X301,X302] :
( ~ cyclic(X297,X298,X299,X300)
| ~ cyclic(X297,X298,X299,X301)
| ~ cyclic(X297,X298,X299,X302)
| ~ eqangle(X299,X297,X299,X298,X302,X300,X302,X301)
| cong(X297,X298,X300,X301) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_75,plain,
! [X293,X294,X295,X296] :
( ~ cyclic(X293,X294,X295,X296)
| eqangle(X295,X293,X295,X294,X296,X293,X296,X294) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_76,plain,
! [X438,X439,X440,X441,X442] :
( ~ cyclic(X438,X439,X440,X441)
| ~ cyclic(X438,X439,X440,X442)
| cyclic(X439,X440,X441,X442) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_77,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_78,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
fof(c_0_79,plain,
! [X163,X164,X165,X166,X167] :
( ~ midp(X166,X163,X164)
| ~ para(X166,X167,X164,X165)
| ~ coll(X167,X163,X165)
| midp(X167,X163,X165) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
fof(c_0_80,plain,
! [X190,X191,X192] :
( ~ cong(X190,X191,X190,X192)
| ~ coll(X190,X191,X192)
| midp(X190,X191,X192) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_81,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_74]) ).
cnf(c_0_82,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
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_76]) ).
cnf(c_0_84,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
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_79]) ).
cnf(c_0_86,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_87,plain,
( cong(X1,X2,X1,X2)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X2)
| ~ cyclic(X1,X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_88,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_89,plain,
! [X253,X254,X255,X256,X257,X258,X259,X260] :
( ~ eqangle(X253,X254,X255,X256,X257,X258,X259,X260)
| eqangle(X257,X258,X259,X260,X253,X254,X255,X256) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
fof(c_0_90,plain,
! [X303,X304,X305] :
( ~ cong(X305,X303,X305,X304)
| eqangle(X305,X303,X303,X304,X303,X304,X305,X304) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_91,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_92,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_67])]) ).
cnf(c_0_93,plain,
cong(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_73])]),c_0_88]),c_0_88])]) ).
fof(c_0_94,plain,
! [X321,X322,X323,X324,X325,X326,X327,X328] :
( ~ eqangle(X321,X322,X323,X324,X325,X326,X327,X328)
| ~ para(X325,X326,X327,X328)
| para(X321,X322,X323,X324) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_95,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_89]) ).
cnf(c_0_96,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
fof(c_0_97,plain,
! [X406,X407,X408] :
( ~ midp(X406,X407,X408)
| cong(X406,X407,X406,X408) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_98,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_91,c_0_54]) ).
cnf(c_0_99,plain,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
fof(c_0_100,plain,
! [X329,X330,X331,X332] :
( ~ para(X329,X330,X331,X332)
| para(X329,X330,X332,X331) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
fof(c_0_101,plain,
! [X68,X69,X70,X71] :
( ~ cong(X68,X70,X69,X70)
| ~ cong(X68,X71,X69,X71)
| perp(X68,X69,X70,X71) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
fof(c_0_102,plain,
! [X84,X85,X86,X87,X88,X89,X90,X91] :
( ~ eqangle(X84,X85,X86,X87,X88,X89,X90,X91)
| ~ perp(X88,X89,X90,X91)
| perp(X84,X85,X86,X87) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])]) ).
cnf(c_0_103,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_94]) ).
cnf(c_0_104,plain,
( eqangle(X1,X2,X3,X2,X3,X1,X1,X2)
| ~ cong(X3,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_105,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_106,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_107,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_108,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_109,plain,
( perp(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ perp(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_110,plain,
( para(X1,X2,X3,X2)
| ~ cong(X3,X1,X3,X2)
| ~ para(X3,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_111,negated_conjecture,
cong(X1,X2,X1,X1),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_112,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_107,c_0_54]) ).
cnf(c_0_113,plain,
perp(X1,X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_93]),c_0_93])]) ).
cnf(c_0_114,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_109,c_0_46]) ).
cnf(c_0_115,negated_conjecture,
para(X1,X2,X2,X2),
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,
perp(X1,X2,X3,X3),
inference(spm,[status(thm)],[c_0_37,c_0_113]) ).
cnf(c_0_117,negated_conjecture,
~ perp(esk1_0,esk5_0,esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_118,negated_conjecture,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116])]) ).
cnf(c_0_119,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GEO636+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.16/0.37 % Computer : n002.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 2400
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Oct 3 06:49:15 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.50 Running first-order theorem proving
% 0.23/0.50 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.cQvCfJDGht/E---3.1_8030.p
% 0.23/0.77 # Version: 3.1pre001
% 0.23/0.77 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.77 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.77 # Starting new_bool_3 with 300s (1) cores
% 0.23/0.77 # Starting new_bool_1 with 300s (1) cores
% 0.23/0.77 # Starting sh5l with 300s (1) cores
% 0.23/0.77 # sh5l with pid 8113 completed with status 0
% 0.23/0.77 # Result found by sh5l
% 0.23/0.77 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.77 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.77 # Starting new_bool_3 with 300s (1) cores
% 0.23/0.77 # Starting new_bool_1 with 300s (1) cores
% 0.23/0.77 # Starting sh5l with 300s (1) cores
% 0.23/0.77 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.77 # Search class: FGUSF-FFLS33-SFFFFFNN
% 0.23/0.77 # partial match(1): FGUSF-FFLS32-SFFFFFNN
% 0.23/0.77 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.77 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.23/0.77 # SAT001_MinMin_p005000_rr_RG with pid 8121 completed with status 0
% 0.23/0.77 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.23/0.77 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.77 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.77 # Starting new_bool_3 with 300s (1) cores
% 0.23/0.77 # Starting new_bool_1 with 300s (1) cores
% 0.23/0.77 # Starting sh5l with 300s (1) cores
% 0.23/0.77 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.77 # Search class: FGUSF-FFLS33-SFFFFFNN
% 0.23/0.77 # partial match(1): FGUSF-FFLS32-SFFFFFNN
% 0.23/0.77 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.77 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.23/0.77 # Preprocessing time : 0.003 s
% 0.23/0.77 # Presaturation interreduction done
% 0.23/0.77
% 0.23/0.77 # Proof found!
% 0.23/0.77 # SZS status Theorem
% 0.23/0.77 # SZS output start CNFRefutation
% See solution above
% 0.23/0.77 # Parsed axioms : 95
% 0.23/0.77 # Removed by relevancy pruning/SinE : 0
% 0.23/0.77 # Initial clauses : 119
% 0.23/0.77 # Removed in clause preprocessing : 0
% 0.23/0.77 # Initial clauses in saturation : 119
% 0.23/0.77 # Processed clauses : 2904
% 0.23/0.77 # ...of these trivial : 150
% 0.23/0.77 # ...subsumed : 1093
% 0.23/0.77 # ...remaining for further processing : 1661
% 0.23/0.77 # Other redundant clauses eliminated : 0
% 0.23/0.77 # Clauses deleted for lack of memory : 0
% 0.23/0.77 # Backward-subsumed : 142
% 0.23/0.77 # Backward-rewritten : 1232
% 0.23/0.77 # Generated clauses : 10780
% 0.23/0.77 # ...of the previous two non-redundant : 8259
% 0.23/0.77 # ...aggressively subsumed : 0
% 0.23/0.77 # Contextual simplify-reflections : 2
% 0.23/0.77 # Paramodulations : 10780
% 0.23/0.77 # Factorizations : 0
% 0.23/0.77 # NegExts : 0
% 0.23/0.77 # Equation resolutions : 0
% 0.23/0.77 # Total rewrite steps : 4721
% 0.23/0.77 # Propositional unsat checks : 0
% 0.23/0.77 # Propositional check models : 0
% 0.23/0.77 # Propositional check unsatisfiable : 0
% 0.23/0.77 # Propositional clauses : 0
% 0.23/0.77 # Propositional clauses after purity: 0
% 0.23/0.77 # Propositional unsat core size : 0
% 0.23/0.77 # Propositional preprocessing time : 0.000
% 0.23/0.77 # Propositional encoding time : 0.000
% 0.23/0.77 # Propositional solver time : 0.000
% 0.23/0.77 # Success case prop preproc time : 0.000
% 0.23/0.77 # Success case prop encoding time : 0.000
% 0.23/0.77 # Success case prop solver time : 0.000
% 0.23/0.77 # Current number of processed clauses : 169
% 0.23/0.77 # Positive orientable unit clauses : 95
% 0.23/0.77 # Positive unorientable unit clauses: 0
% 0.23/0.77 # Negative unit clauses : 0
% 0.23/0.77 # Non-unit-clauses : 74
% 0.23/0.77 # Current number of unprocessed clauses: 5322
% 0.23/0.77 # ...number of literals in the above : 16361
% 0.23/0.77 # Current number of archived formulas : 0
% 0.23/0.77 # Current number of archived clauses : 1492
% 0.23/0.77 # Clause-clause subsumption calls (NU) : 202739
% 0.23/0.77 # Rec. Clause-clause subsumption calls : 184799
% 0.23/0.77 # Non-unit clause-clause subsumptions : 1192
% 0.23/0.77 # Unit Clause-clause subsumption calls : 25029
% 0.23/0.77 # Rewrite failures with RHS unbound : 0
% 0.23/0.77 # BW rewrite match attempts : 4781
% 0.23/0.77 # BW rewrite match successes : 753
% 0.23/0.77 # Condensation attempts : 0
% 0.23/0.77 # Condensation successes : 0
% 0.23/0.77 # Termbank termtop insertions : 126191
% 0.23/0.77
% 0.23/0.77 # -------------------------------------------------
% 0.23/0.77 # User time : 0.248 s
% 0.23/0.77 # System time : 0.008 s
% 0.23/0.77 # Total time : 0.256 s
% 0.23/0.77 # Maximum resident set size: 2408 pages
% 0.23/0.77
% 0.23/0.77 # -------------------------------------------------
% 0.23/0.77 # User time : 0.252 s
% 0.23/0.77 # System time : 0.009 s
% 0.23/0.77 # Total time : 0.262 s
% 0.23/0.77 # Maximum resident set size: 1876 pages
% 0.23/0.77 % E---3.1 exiting
% 0.23/0.77 % E---3.1 exiting
%------------------------------------------------------------------------------