TSTP Solution File: GEO545+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO545+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 30.37s 4.27s
% Output : CNFRefutation 30.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 25
% Syntax : Number of formulae : 126 ( 34 unt; 0 def)
% Number of atoms : 352 ( 0 equ)
% Maximal formula atoms : 28 ( 2 avg)
% Number of connectives : 333 ( 107 ~; 104 |; 96 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 21 ( 21 usr; 20 con; 0-6 aty)
% Number of variables : 486 ( 28 sgn; 266 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL012005,conjecture,
! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
( ( perp(X1,X2,X3,X14)
& perp(X1,X3,X2,X14)
& perp(X2,X3,X1,X14)
& midp(X22,X1,X2)
& perp(X1,X2,X22,X8)
& midp(X23,X1,X3)
& perp(X1,X3,X23,X8)
& midp(X24,X2,X3)
& perp(X2,X3,X24,X8)
& midp(X25,X1,X2)
& perp(X1,X2,X25,X19)
& midp(X26,X1,X14)
& perp(X1,X14,X26,X19)
& midp(X27,X2,X14)
& perp(X2,X14,X27,X19)
& midp(X28,X1,X14)
& perp(X1,X14,X28,X20)
& midp(X29,X1,X3)
& perp(X1,X3,X29,X20)
& midp(X30,X14,X3)
& perp(X14,X3,X30,X20)
& midp(X31,X2,X14)
& perp(X2,X14,X31,X21)
& midp(X32,X2,X3)
& perp(X2,X3,X32,X21)
& midp(X33,X14,X3)
& perp(X14,X3,X33,X21) )
=> perp(X21,X8,X20,X19) ),
file('/export/starexec/sandbox2/tmp/tmp.xeIgs853ot/E---3.1_586.p',exemplo6GDDFULL012005) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.xeIgs853ot/E---3.1_586.p',ruleD69) ).
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.xeIgs853ot/E---3.1_586.p',ruleD3) ).
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.xeIgs853ot/E---3.1_586.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.xeIgs853ot/E---3.1_586.p',ruleD40) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.xeIgs853ot/E---3.1_586.p',ruleD63) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.xeIgs853ot/E---3.1_586.p',ruleD68) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.xeIgs853ot/E---3.1_586.p',ruleD11) ).
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.xeIgs853ot/E---3.1_586.p',ruleD39) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.xeIgs853ot/E---3.1_586.p',ruleD4) ).
fof(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X1,X2,X3,X4)
& cong(X3,X4,X5,X6) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.xeIgs853ot/E---3.1_586.p',ruleD25) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.xeIgs853ot/E---3.1_586.p',ruleD1) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.xeIgs853ot/E---3.1_586.p',ruleD2) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.xeIgs853ot/E---3.1_586.p',ruleD64) ).
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.xeIgs853ot/E---3.1_586.p',ruleD67) ).
fof(ruleD75,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
& cong(X9,X10,X11,X12) )
=> cong(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.xeIgs853ot/E---3.1_586.p',ruleD75) ).
fof(ruleD70,axiom,
! [X1,X2,X3,X4,X7,X17] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.xeIgs853ot/E---3.1_586.p',ruleD70) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.xeIgs853ot/E---3.1_586.p',ruleD66) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.xeIgs853ot/E---3.1_586.p',ruleD24) ).
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.xeIgs853ot/E---3.1_586.p',ruleD73) ).
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.xeIgs853ot/E---3.1_586.p',ruleD46) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.xeIgs853ot/E---3.1_586.p',ruleD23) ).
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.xeIgs853ot/E---3.1_586.p',ruleD45) ).
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/sandbox2/tmp/tmp.xeIgs853ot/E---3.1_586.p',ruleX6) ).
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.xeIgs853ot/E---3.1_586.p',ruleD56) ).
fof(c_0_25,negated_conjecture,
~ ! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
( ( perp(X1,X2,X3,X14)
& perp(X1,X3,X2,X14)
& perp(X2,X3,X1,X14)
& midp(X22,X1,X2)
& perp(X1,X2,X22,X8)
& midp(X23,X1,X3)
& perp(X1,X3,X23,X8)
& midp(X24,X2,X3)
& perp(X2,X3,X24,X8)
& midp(X25,X1,X2)
& perp(X1,X2,X25,X19)
& midp(X26,X1,X14)
& perp(X1,X14,X26,X19)
& midp(X27,X2,X14)
& perp(X2,X14,X27,X19)
& midp(X28,X1,X14)
& perp(X1,X14,X28,X20)
& midp(X29,X1,X3)
& perp(X1,X3,X29,X20)
& midp(X30,X14,X3)
& perp(X14,X3,X30,X20)
& midp(X31,X2,X14)
& perp(X2,X14,X31,X21)
& midp(X32,X2,X3)
& perp(X2,X3,X32,X21)
& midp(X33,X14,X3)
& perp(X14,X3,X33,X21) )
=> perp(X21,X8,X20,X19) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012005]) ).
fof(c_0_26,plain,
! [X212,X213,X214] :
( ~ midp(X212,X213,X214)
| coll(X212,X213,X214) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_27,negated_conjecture,
( perp(esk1_0,esk2_0,esk3_0,esk4_0)
& perp(esk1_0,esk3_0,esk2_0,esk4_0)
& perp(esk2_0,esk3_0,esk1_0,esk4_0)
& midp(esk9_0,esk1_0,esk2_0)
& perp(esk1_0,esk2_0,esk9_0,esk5_0)
& midp(esk10_0,esk1_0,esk3_0)
& perp(esk1_0,esk3_0,esk10_0,esk5_0)
& midp(esk11_0,esk2_0,esk3_0)
& perp(esk2_0,esk3_0,esk11_0,esk5_0)
& midp(esk12_0,esk1_0,esk2_0)
& perp(esk1_0,esk2_0,esk12_0,esk6_0)
& midp(esk13_0,esk1_0,esk4_0)
& perp(esk1_0,esk4_0,esk13_0,esk6_0)
& midp(esk14_0,esk2_0,esk4_0)
& perp(esk2_0,esk4_0,esk14_0,esk6_0)
& midp(esk15_0,esk1_0,esk4_0)
& perp(esk1_0,esk4_0,esk15_0,esk7_0)
& midp(esk16_0,esk1_0,esk3_0)
& perp(esk1_0,esk3_0,esk16_0,esk7_0)
& midp(esk17_0,esk4_0,esk3_0)
& perp(esk4_0,esk3_0,esk17_0,esk7_0)
& midp(esk18_0,esk2_0,esk4_0)
& perp(esk2_0,esk4_0,esk18_0,esk8_0)
& midp(esk19_0,esk2_0,esk3_0)
& perp(esk2_0,esk3_0,esk19_0,esk8_0)
& midp(esk20_0,esk4_0,esk3_0)
& perp(esk4_0,esk3_0,esk20_0,esk8_0)
& ~ perp(esk8_0,esk5_0,esk7_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_28,plain,
! [X450,X451,X452,X453] :
( ~ coll(X450,X451,X452)
| ~ coll(X450,X451,X453)
| coll(X452,X453,X450) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_29,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,negated_conjecture,
midp(esk20_0,esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_31,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_32,plain,
! [X269,X270,X271,X272,X273,X274] :
( ~ para(X269,X270,X271,X272)
| eqangle(X269,X270,X273,X274,X271,X272,X273,X274) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_33,plain,
! [X196,X197,X198,X199,X200] :
( ~ midp(X200,X196,X197)
| ~ midp(X200,X198,X199)
| para(X196,X198,X197,X199) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_34,plain,
! [X209,X210,X211] :
( ~ midp(X209,X210,X211)
| cong(X209,X210,X209,X211) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_35,plain,
! [X173,X174,X175] :
( ~ midp(X175,X174,X173)
| midp(X175,X173,X174) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_36,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,negated_conjecture,
coll(esk20_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_38,plain,
! [X263,X264,X265,X266,X267,X268] :
( ~ eqangle(X263,X264,X267,X268,X265,X266,X267,X268)
| para(X263,X264,X265,X266) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_39,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_31]) ).
cnf(c_0_40,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_41,plain,
! [X249,X250,X251,X252] :
( ~ para(X249,X250,X251,X252)
| para(X249,X250,X252,X251) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_42,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_43,plain,
! [X418,X419,X420,X421,X422,X423] :
( ~ cong(X418,X419,X420,X421)
| ~ cong(X420,X421,X422,X423)
| cong(X418,X419,X422,X423) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_44,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_46,plain,
! [X444,X445,X446] :
( ~ coll(X444,X445,X446)
| coll(X444,X446,X445) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_47,negated_conjecture,
( coll(X1,esk3_0,esk20_0)
| ~ coll(esk20_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_48,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_49,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_50,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,negated_conjecture,
( para(X1,esk4_0,X2,esk3_0)
| ~ midp(esk20_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_30]) ).
cnf(c_0_52,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,negated_conjecture,
cong(esk20_0,esk4_0,esk20_0,esk3_0),
inference(spm,[status(thm)],[c_0_44,c_0_30]) ).
cnf(c_0_54,negated_conjecture,
midp(esk20_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_45,c_0_30]) ).
fof(c_0_55,plain,
! [X447,X448,X449] :
( ~ coll(X447,X448,X449)
| coll(X448,X447,X449) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_56,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,negated_conjecture,
coll(esk3_0,esk3_0,esk20_0),
inference(spm,[status(thm)],[c_0_47,c_0_37]) ).
fof(c_0_58,plain,
! [X201,X202,X203,X204,X205] :
( ~ midp(X205,X201,X202)
| ~ para(X201,X203,X202,X204)
| ~ para(X201,X204,X202,X203)
| midp(X205,X203,X204) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_59,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_60,negated_conjecture,
( para(X1,esk4_0,esk3_0,X2)
| ~ midp(esk20_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_61,plain,
! [X206,X207,X208] :
( ~ cong(X206,X207,X206,X208)
| ~ coll(X206,X207,X208)
| midp(X206,X207,X208) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_62,negated_conjecture,
( cong(X1,X2,esk20_0,esk3_0)
| ~ cong(X1,X2,esk20_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_63,negated_conjecture,
cong(esk20_0,esk3_0,esk20_0,esk4_0),
inference(spm,[status(thm)],[c_0_44,c_0_54]) ).
cnf(c_0_64,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_65,negated_conjecture,
coll(esk3_0,esk20_0,esk3_0),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_66,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_58]) ).
cnf(c_0_67,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_54])]) ).
cnf(c_0_68,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_69,negated_conjecture,
cong(esk20_0,esk3_0,esk20_0,esk3_0),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,negated_conjecture,
coll(esk20_0,esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_71,plain,
! [X436,X437,X438,X439,X440,X441,X442,X443] :
( ~ eqratio(X436,X437,X438,X439,X440,X441,X442,X443)
| ~ cong(X440,X441,X442,X443)
| cong(X436,X437,X438,X439) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_72,plain,
! [X215,X216,X217,X218,X219,X220] :
( ~ midp(X219,X215,X216)
| ~ midp(X220,X217,X218)
| eqratio(X219,X215,X215,X216,X220,X217,X217,X218) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_73,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_67])]) ).
cnf(c_0_74,negated_conjecture,
midp(esk20_0,esk3_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
fof(c_0_75,plain,
! [X284,X285,X286] :
( ~ para(X284,X285,X284,X286)
| coll(X284,X285,X286) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_76,plain,
( cong(X1,X2,X3,X4)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ cong(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_77,plain,
( eqratio(X1,X2,X2,X3,X4,X5,X5,X6)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_78,negated_conjecture,
midp(esk20_0,X1,X1),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_79,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_80,plain,
( cong(X1,X2,X2,X3)
| ~ cong(X4,X5,X5,X6)
| ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,negated_conjecture,
cong(esk20_0,X1,esk20_0,X1),
inference(spm,[status(thm)],[c_0_44,c_0_78]) ).
cnf(c_0_82,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_79,c_0_67]) ).
fof(c_0_83,plain,
! [X414,X415,X416,X417] :
( ~ cong(X414,X415,X416,X417)
| cong(X416,X417,X414,X415) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_84,negated_conjecture,
( cong(X1,X2,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_78])]) ).
cnf(c_0_85,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_64,c_0_82]) ).
fof(c_0_86,plain,
! [X287,X288,X289,X290,X291,X292,X293,X294] :
( ~ eqangle(X287,X288,X289,X290,X291,X292,X293,X294)
| ~ para(X291,X292,X293,X294)
| para(X287,X288,X289,X290) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_87,plain,
! [X364,X365,X366] :
( ~ cong(X366,X364,X366,X365)
| eqangle(X366,X364,X364,X365,X364,X365,X366,X365) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_88,plain,
! [X410,X411,X412,X413] :
( ~ cong(X410,X411,X412,X413)
| cong(X410,X411,X413,X412) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_89,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_90,negated_conjecture,
cong(esk20_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_84,c_0_78]) ).
fof(c_0_91,plain,
! [X181,X182,X183,X184,X185] :
( ~ midp(X184,X181,X182)
| ~ para(X184,X185,X182,X183)
| ~ coll(X185,X181,X183)
| midp(X185,X181,X183) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_92,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_56,c_0_85]) ).
cnf(c_0_93,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_86]) ).
cnf(c_0_94,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_95,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_96,negated_conjecture,
cong(X1,X1,esk20_0,X1),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
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,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_92]),c_0_92])]) ).
cnf(c_0_99,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_100,negated_conjecture,
cong(X1,X1,X1,esk20_0),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,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_98])]) ).
cnf(c_0_102,negated_conjecture,
para(X1,X1,X1,esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_67])]) ).
cnf(c_0_103,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_101,c_0_67]) ).
cnf(c_0_104,negated_conjecture,
( midp(X1,X2,esk20_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_105,negated_conjecture,
midp(X1,esk20_0,X1),
inference(spm,[status(thm)],[c_0_103,c_0_78]) ).
fof(c_0_106,plain,
! [X221,X222,X223,X224,X225,X226] :
( ( midp(esk32_6(X221,X222,X223,X224,X225,X226),X221,X224)
| ~ midp(X225,X221,X222)
| ~ midp(X226,X223,X224) )
& ( para(esk32_6(X221,X222,X223,X224,X225,X226),X225,X222,X224)
| ~ midp(X225,X221,X222)
| ~ midp(X226,X223,X224) )
& ( para(esk32_6(X221,X222,X223,X224,X225,X226),X226,X221,X223)
| ~ midp(X225,X221,X222)
| ~ midp(X226,X223,X224) ) ),
inference(distribute,[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_107,negated_conjecture,
midp(X1,esk20_0,esk20_0),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_108,plain,
( para(esk32_6(X1,X2,X3,X4,X5,X6),X5,X2,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_73,c_0_107]) ).
cnf(c_0_110,plain,
( midp(X1,X2,X3)
| ~ midp(esk32_6(X4,X5,X6,X3,X1,X7),X2,X5)
| ~ midp(X7,X6,X3)
| ~ midp(X1,X4,X5)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_108]) ).
cnf(c_0_111,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_103,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_50,c_0_67]) ).
cnf(c_0_113,plain,
( midp(X1,X2,X3)
| ~ midp(esk32_6(X4,X5,X6,X3,X1,X7),X2,X5)
| ~ midp(X7,X6,X3)
| ~ midp(X1,X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_98])]) ).
cnf(c_0_114,negated_conjecture,
midp(X1,X2,esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_111])]) ).
cnf(c_0_115,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_112]) ).
cnf(c_0_116,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X4,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_114])]) ).
cnf(c_0_117,negated_conjecture,
midp(esk20_0,X1,X2),
inference(spm,[status(thm)],[c_0_115,c_0_114]) ).
cnf(c_0_118,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
fof(c_0_119,plain,
! [X96,X97,X98,X99] :
( ~ cong(X96,X98,X97,X98)
| ~ cong(X96,X99,X97,X99)
| perp(X96,X97,X98,X99) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_120,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_118])]) ).
cnf(c_0_121,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_122,negated_conjecture,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_95,c_0_120]) ).
cnf(c_0_123,negated_conjecture,
~ perp(esk8_0,esk5_0,esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_124,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122]),c_0_122])]) ).
cnf(c_0_125,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO545+1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n017.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 06:04:11 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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.xeIgs853ot/E---3.1_586.p
% 30.37/4.27 # Version: 3.1pre001
% 30.37/4.27 # Preprocessing class: FSLSSMSSSSSNFFN.
% 30.37/4.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.37/4.27 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 30.37/4.27 # Starting new_bool_3 with 300s (1) cores
% 30.37/4.27 # Starting new_bool_1 with 300s (1) cores
% 30.37/4.27 # Starting sh5l with 300s (1) cores
% 30.37/4.27 # sh5l with pid 687 completed with status 0
% 30.37/4.27 # Result found by sh5l
% 30.37/4.27 # Preprocessing class: FSLSSMSSSSSNFFN.
% 30.37/4.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.37/4.27 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 30.37/4.27 # Starting new_bool_3 with 300s (1) cores
% 30.37/4.27 # Starting new_bool_1 with 300s (1) cores
% 30.37/4.27 # Starting sh5l with 300s (1) cores
% 30.37/4.27 # SinE strategy is gf500_gu_R04_F100_L20000
% 30.37/4.27 # Search class: FGUSF-FFLM33-SFFFFFNN
% 30.37/4.27 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 30.37/4.27 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 30.37/4.27 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 30.37/4.27 # SAT001_MinMin_p005000_rr_RG with pid 695 completed with status 0
% 30.37/4.27 # Result found by SAT001_MinMin_p005000_rr_RG
% 30.37/4.27 # Preprocessing class: FSLSSMSSSSSNFFN.
% 30.37/4.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.37/4.27 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 30.37/4.27 # Starting new_bool_3 with 300s (1) cores
% 30.37/4.27 # Starting new_bool_1 with 300s (1) cores
% 30.37/4.27 # Starting sh5l with 300s (1) cores
% 30.37/4.27 # SinE strategy is gf500_gu_R04_F100_L20000
% 30.37/4.27 # Search class: FGUSF-FFLM33-SFFFFFNN
% 30.37/4.27 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 30.37/4.27 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 30.37/4.27 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 30.37/4.27 # Preprocessing time : 0.002 s
% 30.37/4.27 # Presaturation interreduction done
% 30.37/4.27
% 30.37/4.27 # Proof found!
% 30.37/4.27 # SZS status Theorem
% 30.37/4.27 # SZS output start CNFRefutation
% See solution above
% 30.37/4.27 # Parsed axioms : 95
% 30.37/4.27 # Removed by relevancy pruning/SinE : 0
% 30.37/4.27 # Initial clauses : 141
% 30.37/4.27 # Removed in clause preprocessing : 0
% 30.37/4.27 # Initial clauses in saturation : 141
% 30.37/4.27 # Processed clauses : 14771
% 30.37/4.27 # ...of these trivial : 1182
% 30.37/4.27 # ...subsumed : 1283
% 30.37/4.27 # ...remaining for further processing : 12306
% 30.37/4.27 # Other redundant clauses eliminated : 0
% 30.37/4.27 # Clauses deleted for lack of memory : 0
% 30.37/4.27 # Backward-subsumed : 68
% 30.37/4.27 # Backward-rewritten : 12026
% 30.37/4.27 # Generated clauses : 130659
% 30.37/4.27 # ...of the previous two non-redundant : 78001
% 30.37/4.27 # ...aggressively subsumed : 0
% 30.37/4.27 # Contextual simplify-reflections : 9
% 30.37/4.27 # Paramodulations : 130659
% 30.37/4.27 # Factorizations : 0
% 30.37/4.27 # NegExts : 0
% 30.37/4.27 # Equation resolutions : 0
% 30.37/4.27 # Total rewrite steps : 70682
% 30.37/4.27 # Propositional unsat checks : 2
% 30.37/4.27 # Propositional check models : 0
% 30.37/4.27 # Propositional check unsatisfiable : 0
% 30.37/4.27 # Propositional clauses : 0
% 30.37/4.27 # Propositional clauses after purity: 0
% 30.37/4.27 # Propositional unsat core size : 0
% 30.37/4.27 # Propositional preprocessing time : 0.000
% 30.37/4.27 # Propositional encoding time : 0.089
% 30.37/4.27 # Propositional solver time : 0.136
% 30.37/4.27 # Success case prop preproc time : 0.000
% 30.37/4.27 # Success case prop encoding time : 0.000
% 30.37/4.27 # Success case prop solver time : 0.000
% 30.37/4.27 # Current number of processed clauses : 72
% 30.37/4.27 # Positive orientable unit clauses : 10
% 30.37/4.27 # Positive unorientable unit clauses: 0
% 30.37/4.27 # Negative unit clauses : 0
% 30.37/4.27 # Non-unit-clauses : 62
% 30.37/4.27 # Current number of unprocessed clauses: 61392
% 30.37/4.27 # ...number of literals in the above : 197603
% 30.37/4.27 # Current number of archived formulas : 0
% 30.37/4.27 # Current number of archived clauses : 12234
% 30.37/4.27 # Clause-clause subsumption calls (NU) : 2021549
% 30.37/4.27 # Rec. Clause-clause subsumption calls : 1802932
% 30.37/4.27 # Non-unit clause-clause subsumptions : 1341
% 30.37/4.27 # Unit Clause-clause subsumption calls : 2520435
% 30.37/4.27 # Rewrite failures with RHS unbound : 0
% 30.37/4.27 # BW rewrite match attempts : 109388
% 30.37/4.27 # BW rewrite match successes : 9547
% 30.37/4.27 # Condensation attempts : 0
% 30.37/4.27 # Condensation successes : 0
% 30.37/4.27 # Termbank termtop insertions : 1611516
% 30.37/4.27
% 30.37/4.27 # -------------------------------------------------
% 30.37/4.27 # User time : 3.536 s
% 30.37/4.27 # System time : 0.092 s
% 30.37/4.27 # Total time : 3.628 s
% 30.37/4.27 # Maximum resident set size: 2676 pages
% 30.37/4.27
% 30.37/4.27 # -------------------------------------------------
% 30.37/4.27 # User time : 3.539 s
% 30.37/4.27 # System time : 0.094 s
% 30.37/4.27 # Total time : 3.633 s
% 30.37/4.27 # Maximum resident set size: 1872 pages
% 30.37/4.27 % E---3.1 exiting
% 30.37/4.27 % E---3.1 exiting
%------------------------------------------------------------------------------