TSTP Solution File: GEO546+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO546+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 17:32:57 EDT 2023
% Result : Theorem 0.77s 0.73s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 26
% Syntax : Number of formulae : 123 ( 28 unt; 0 def)
% Number of atoms : 278 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 257 ( 102 ~; 99 |; 29 &)
% ( 0 <=>; 27 =>; 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 : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 471 ( 32 sgn; 252 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL012006,conjecture,
! [X1,X2,X3,X5,X6,X14] :
( ( perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X1,X2,X3)
& coll(X6,X2,X3)
& coll(X14,X3,X5)
& coll(X14,X1,X6) )
=> perp(X2,X14,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.jpclG5XISZ/E---3.1_3596.p',exemplo6GDDFULL012006) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.jpclG5XISZ/E---3.1_3596.p',ruleD8) ).
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.jpclG5XISZ/E---3.1_3596.p',ruleD3) ).
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.jpclG5XISZ/E---3.1_3596.p',ruleD42b) ).
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.jpclG5XISZ/E---3.1_3596.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.jpclG5XISZ/E---3.1_3596.p',ruleD9) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.jpclG5XISZ/E---3.1_3596.p',ruleD1) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.jpclG5XISZ/E---3.1_3596.p',ruleD15) ).
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.jpclG5XISZ/E---3.1_3596.p',ruleD19) ).
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.jpclG5XISZ/E---3.1_3596.p',ruleD39) ).
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.jpclG5XISZ/E---3.1_3596.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.jpclG5XISZ/E---3.1_3596.p',ruleD16) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.jpclG5XISZ/E---3.1_3596.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.jpclG5XISZ/E---3.1_3596.p',ruleD2) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.jpclG5XISZ/E---3.1_3596.p',ruleD14) ).
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.jpclG5XISZ/E---3.1_3596.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.jpclG5XISZ/E---3.1_3596.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.jpclG5XISZ/E---3.1_3596.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.jpclG5XISZ/E---3.1_3596.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.jpclG5XISZ/E---3.1_3596.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.jpclG5XISZ/E---3.1_3596.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.jpclG5XISZ/E---3.1_3596.p',ruleD73) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.jpclG5XISZ/E---3.1_3596.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.jpclG5XISZ/E---3.1_3596.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.jpclG5XISZ/E---3.1_3596.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.jpclG5XISZ/E---3.1_3596.p',ruleD74) ).
fof(c_0_26,negated_conjecture,
~ ! [X1,X2,X3,X5,X6,X14] :
( ( perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X1,X2,X3)
& coll(X6,X2,X3)
& coll(X14,X3,X5)
& coll(X14,X1,X6) )
=> perp(X2,X14,X1,X3) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012006]) ).
fof(c_0_27,plain,
! [X29,X30,X31,X32] :
( ~ perp(X29,X30,X31,X32)
| perp(X31,X32,X29,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_28,negated_conjecture,
( perp(esk4_0,esk3_0,esk1_0,esk2_0)
& coll(esk4_0,esk1_0,esk2_0)
& perp(esk5_0,esk1_0,esk2_0,esk3_0)
& coll(esk5_0,esk2_0,esk3_0)
& coll(esk6_0,esk3_0,esk4_0)
& coll(esk6_0,esk1_0,esk5_0)
& ~ perp(esk2_0,esk6_0,esk1_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_29,plain,
! [X150,X151,X152,X153] :
( ~ coll(X150,X151,X152)
| ~ coll(X150,X151,X153)
| coll(X152,X153,X150) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
fof(c_0_30,plain,
! [X158,X159,X160,X161] :
( ~ eqangle(X160,X158,X160,X159,X161,X158,X161,X159)
| ~ coll(X160,X161,X159)
| cyclic(X158,X159,X160,X161) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_31,plain,
! [X256,X257,X258,X259,X260,X261] :
( ~ para(X256,X257,X258,X259)
| eqangle(X256,X257,X260,X261,X258,X259,X260,X261) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_32,plain,
! [X33,X34,X35,X36,X37,X38] :
( ~ perp(X33,X34,X35,X36)
| ~ perp(X35,X36,X37,X38)
| para(X33,X34,X37,X38) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_33,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,negated_conjecture,
perp(esk5_0,esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
coll(esk6_0,esk1_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,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_30]) ).
cnf(c_0_38,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
perp(esk2_0,esk3_0,esk5_0,esk1_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_41,plain,
! [X144,X145,X146] :
( ~ coll(X144,X145,X146)
| coll(X144,X146,X145) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_42,negated_conjecture,
( coll(X1,esk5_0,esk6_0)
| ~ coll(esk6_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_43,plain,
! [X429,X430,X431,X432] :
( ~ cyclic(X429,X430,X431,X432)
| cyclic(X429,X431,X430,X432) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_44,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( para(X1,X2,esk5_0,esk1_0)
| ~ perp(X1,X2,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,negated_conjecture,
coll(esk5_0,esk5_0,esk6_0),
inference(spm,[status(thm)],[c_0_42,c_0_36]) ).
fof(c_0_48,plain,
! [X310,X311,X312,X313,X314,X315,X316,X317] :
( ~ eqangle(X310,X311,X312,X313,X314,X315,X316,X317)
| eqangle(X312,X313,X310,X311,X316,X317,X314,X315) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_49,plain,
! [X250,X251,X252,X253,X254,X255] :
( ~ eqangle(X250,X251,X254,X255,X252,X253,X254,X255)
| para(X250,X251,X252,X253) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
fof(c_0_50,plain,
! [X346,X347,X348,X349] :
( ~ cyclic(X346,X347,X348,X349)
| eqangle(X348,X346,X348,X347,X349,X346,X349,X347) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_51,plain,
! [X433,X434,X435,X436] :
( ~ cyclic(X433,X434,X435,X436)
| cyclic(X434,X433,X435,X436) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_52,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,negated_conjecture,
( cyclic(esk1_0,X1,esk5_0,esk5_0)
| ~ coll(esk5_0,esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_34])]) ).
cnf(c_0_54,negated_conjecture,
coll(esk5_0,esk6_0,esk5_0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_55,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_48]) ).
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_49]) ).
cnf(c_0_57,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_59,negated_conjecture,
( cyclic(esk1_0,esk5_0,X1,esk5_0)
| ~ coll(esk5_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,negated_conjecture,
( coll(X1,esk5_0,esk5_0)
| ~ coll(esk5_0,esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_54]) ).
cnf(c_0_61,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_55,c_0_38]) ).
cnf(c_0_62,plain,
( para(X1,X2,X1,X2)
| ~ cyclic(X2,X3,X1,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_63,negated_conjecture,
( cyclic(esk5_0,esk1_0,X1,esk5_0)
| ~ coll(esk5_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,negated_conjecture,
coll(esk5_0,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_60,c_0_54]) ).
fof(c_0_65,plain,
! [X186,X187,X188] :
( ~ para(X186,X187,X186,X188)
| coll(X186,X187,X188) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_66,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_56,c_0_61]) ).
cnf(c_0_67,negated_conjecture,
para(esk5_0,esk5_0,esk5_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).
fof(c_0_68,plain,
! [X147,X148,X149] :
( ~ coll(X147,X148,X149)
| coll(X148,X147,X149) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_69,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_70,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_72,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_73,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_74,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_46,c_0_73]) ).
cnf(c_0_75,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_74]),c_0_74])]) ).
fof(c_0_76,plain,
! [X425,X426,X427,X428] :
( ~ cyclic(X425,X426,X427,X428)
| cyclic(X425,X426,X428,X427) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_77,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_70])]),c_0_75])]) ).
cnf(c_0_78,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_79,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_52,c_0_77]) ).
fof(c_0_80,plain,
! [X350,X351,X352,X353,X354,X355] :
( ~ cyclic(X350,X351,X352,X353)
| ~ cyclic(X350,X351,X352,X354)
| ~ cyclic(X350,X351,X352,X355)
| ~ eqangle(X352,X350,X352,X351,X355,X353,X355,X354)
| cong(X350,X351,X353,X354) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_81,plain,
! [X437,X438,X439,X440,X441] :
( ~ cyclic(X437,X438,X439,X440)
| ~ cyclic(X437,X438,X439,X441)
| cyclic(X438,X439,X440,X441) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
fof(c_0_83,plain,
! [X162,X163,X164,X165,X166] :
( ~ midp(X165,X162,X163)
| ~ para(X165,X166,X163,X164)
| ~ coll(X166,X162,X164)
| midp(X166,X162,X164) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
fof(c_0_84,plain,
! [X189,X190,X191] :
( ~ cong(X189,X190,X189,X191)
| ~ coll(X189,X190,X191)
| midp(X189,X190,X191) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_85,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_80]) ).
cnf(c_0_86,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_87,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_58,c_0_82]) ).
cnf(c_0_88,plain,
( midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| ~ para(X1,X4,X3,X5)
| ~ coll(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_89,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_90,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_85,c_0_57]) ).
cnf(c_0_91,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_87])]) ).
fof(c_0_92,plain,
! [X318,X319,X320,X321,X322,X323,X324,X325] :
( ~ eqangle(X318,X319,X320,X321,X322,X323,X324,X325)
| eqangle(X322,X323,X324,X325,X318,X319,X320,X321) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
fof(c_0_93,plain,
! [X356,X357,X358] :
( ~ cong(X358,X356,X358,X357)
| eqangle(X358,X356,X356,X357,X356,X357,X358,X357) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_94,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_75])]) ).
cnf(c_0_95,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_75])]) ).
cnf(c_0_96,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_90,c_0_79])]),c_0_91]),c_0_91])]) ).
fof(c_0_97,plain,
! [X281,X282,X283,X284,X285,X286,X287,X288] :
( ~ eqangle(X281,X282,X283,X284,X285,X286,X287,X288)
| ~ para(X285,X286,X287,X288)
| para(X281,X282,X283,X284) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_98,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_92]) ).
cnf(c_0_99,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
fof(c_0_100,plain,
! [X405,X406,X407] :
( ~ midp(X405,X406,X407)
| cong(X405,X406,X405,X407) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_101,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_94,c_0_70]) ).
cnf(c_0_102,plain,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
fof(c_0_103,plain,
! [X236,X237,X238,X239] :
( ~ para(X236,X237,X238,X239)
| para(X236,X237,X239,X238) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
fof(c_0_104,plain,
! [X67,X68,X69,X70] :
( ~ cong(X67,X69,X68,X69)
| ~ cong(X67,X70,X68,X70)
| perp(X67,X68,X69,X70) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
fof(c_0_105,plain,
! [X83,X84,X85,X86,X87,X88,X89,X90] :
( ~ eqangle(X83,X84,X85,X86,X87,X88,X89,X90)
| ~ perp(X87,X88,X89,X90)
| perp(X83,X84,X85,X86) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])]) ).
cnf(c_0_106,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_97]) ).
cnf(c_0_107,plain,
( eqangle(X1,X2,X3,X2,X3,X1,X1,X2)
| ~ cong(X3,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_108,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_110,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_111,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_112,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_105]) ).
cnf(c_0_113,plain,
( para(X1,X2,X3,X2)
| ~ cong(X3,X1,X3,X2)
| ~ para(X3,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_114,negated_conjecture,
cong(X1,X2,X1,X1),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_115,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_110,c_0_70]) ).
cnf(c_0_116,plain,
perp(X1,X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_96]),c_0_96])]) ).
cnf(c_0_117,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_112,c_0_61]) ).
cnf(c_0_118,negated_conjecture,
para(X1,X2,X2,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115])]) ).
cnf(c_0_119,plain,
perp(X1,X2,X3,X3),
inference(spm,[status(thm)],[c_0_33,c_0_116]) ).
cnf(c_0_120,negated_conjecture,
~ perp(esk2_0,esk6_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_121,negated_conjecture,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119])]) ).
cnf(c_0_122,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO546+1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Oct 3 06:55:42 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.50 Running first-order theorem proving
% 0.20/0.50 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.jpclG5XISZ/E---3.1_3596.p
% 0.77/0.73 # Version: 3.1pre001
% 0.77/0.73 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.77/0.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.73 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.77/0.73 # Starting new_bool_3 with 300s (1) cores
% 0.77/0.73 # Starting new_bool_1 with 300s (1) cores
% 0.77/0.73 # Starting sh5l with 300s (1) cores
% 0.77/0.73 # sh5l with pid 3699 completed with status 0
% 0.77/0.73 # Result found by sh5l
% 0.77/0.73 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.77/0.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.73 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.77/0.73 # Starting new_bool_3 with 300s (1) cores
% 0.77/0.73 # Starting new_bool_1 with 300s (1) cores
% 0.77/0.73 # Starting sh5l with 300s (1) cores
% 0.77/0.73 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.77/0.73 # Search class: FGUSF-FFLM33-SFFFFFNN
% 0.77/0.73 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.77/0.73 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.77/0.73 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.77/0.73 # SAT001_MinMin_p005000_rr_RG with pid 3711 completed with status 0
% 0.77/0.73 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.77/0.73 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.77/0.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.73 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.77/0.73 # Starting new_bool_3 with 300s (1) cores
% 0.77/0.73 # Starting new_bool_1 with 300s (1) cores
% 0.77/0.73 # Starting sh5l with 300s (1) cores
% 0.77/0.73 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.77/0.73 # Search class: FGUSF-FFLM33-SFFFFFNN
% 0.77/0.73 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.77/0.73 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.77/0.73 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.77/0.73 # Preprocessing time : 0.003 s
% 0.77/0.73 # Presaturation interreduction done
% 0.77/0.73
% 0.77/0.73 # Proof found!
% 0.77/0.73 # SZS status Theorem
% 0.77/0.73 # SZS output start CNFRefutation
% See solution above
% 0.77/0.73 # Parsed axioms : 95
% 0.77/0.73 # Removed by relevancy pruning/SinE : 0
% 0.77/0.73 # Initial clauses : 120
% 0.77/0.73 # Removed in clause preprocessing : 0
% 0.77/0.73 # Initial clauses in saturation : 120
% 0.77/0.73 # Processed clauses : 2529
% 0.77/0.73 # ...of these trivial : 188
% 0.77/0.73 # ...subsumed : 549
% 0.77/0.73 # ...remaining for further processing : 1792
% 0.77/0.73 # Other redundant clauses eliminated : 0
% 0.77/0.73 # Clauses deleted for lack of memory : 0
% 0.77/0.73 # Backward-subsumed : 78
% 0.77/0.73 # Backward-rewritten : 1527
% 0.77/0.73 # Generated clauses : 11486
% 0.77/0.73 # ...of the previous two non-redundant : 8875
% 0.77/0.73 # ...aggressively subsumed : 0
% 0.77/0.73 # Contextual simplify-reflections : 2
% 0.77/0.73 # Paramodulations : 11486
% 0.77/0.73 # Factorizations : 0
% 0.77/0.73 # NegExts : 0
% 0.77/0.73 # Equation resolutions : 0
% 0.77/0.73 # Total rewrite steps : 5407
% 0.77/0.73 # Propositional unsat checks : 0
% 0.77/0.73 # Propositional check models : 0
% 0.77/0.73 # Propositional check unsatisfiable : 0
% 0.77/0.73 # Propositional clauses : 0
% 0.77/0.73 # Propositional clauses after purity: 0
% 0.77/0.73 # Propositional unsat core size : 0
% 0.77/0.73 # Propositional preprocessing time : 0.000
% 0.77/0.73 # Propositional encoding time : 0.000
% 0.77/0.73 # Propositional solver time : 0.000
% 0.77/0.73 # Success case prop preproc time : 0.000
% 0.77/0.73 # Success case prop encoding time : 0.000
% 0.77/0.73 # Success case prop solver time : 0.000
% 0.77/0.73 # Current number of processed clauses : 68
% 0.77/0.73 # Positive orientable unit clauses : 16
% 0.77/0.73 # Positive unorientable unit clauses: 0
% 0.77/0.73 # Negative unit clauses : 0
% 0.77/0.73 # Non-unit-clauses : 52
% 0.77/0.73 # Current number of unprocessed clauses: 5635
% 0.77/0.73 # ...number of literals in the above : 18910
% 0.77/0.73 # Current number of archived formulas : 0
% 0.77/0.73 # Current number of archived clauses : 1724
% 0.77/0.73 # Clause-clause subsumption calls (NU) : 207080
% 0.77/0.73 # Rec. Clause-clause subsumption calls : 166974
% 0.77/0.73 # Non-unit clause-clause subsumptions : 629
% 0.77/0.73 # Unit Clause-clause subsumption calls : 18727
% 0.77/0.73 # Rewrite failures with RHS unbound : 0
% 0.77/0.73 # BW rewrite match attempts : 6391
% 0.77/0.73 # BW rewrite match successes : 1124
% 0.77/0.73 # Condensation attempts : 0
% 0.77/0.73 # Condensation successes : 0
% 0.77/0.73 # Termbank termtop insertions : 146435
% 0.77/0.73
% 0.77/0.73 # -------------------------------------------------
% 0.77/0.73 # User time : 0.200 s
% 0.77/0.73 # System time : 0.010 s
% 0.77/0.73 # Total time : 0.210 s
% 0.77/0.73 # Maximum resident set size: 2416 pages
% 0.77/0.73
% 0.77/0.73 # -------------------------------------------------
% 0.77/0.73 # User time : 0.204 s
% 0.77/0.73 # System time : 0.012 s
% 0.77/0.73 # Total time : 0.216 s
% 0.77/0.73 # Maximum resident set size: 1876 pages
% 0.77/0.73 % E---3.1 exiting
% 0.77/0.73 % E---3.1 exiting
%------------------------------------------------------------------------------