TSTP Solution File: GEO558+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO558+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 17:35:14 EDT 2023
% Result : Theorem 2.00s 0.79s
% Output : CNFRefutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 26
% Syntax : Number of formulae : 122 ( 28 unt; 0 def)
% Number of atoms : 276 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 252 ( 98 ~; 95 |; 32 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 444 ( 28 sgn; 238 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD9) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleX11) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD8) ).
fof(exemplo6GDDFULL012018,conjecture,
! [X1,X3,X19,X8,X17,X2,X13,X20,X7,X21,X22,X23] :
( ( circle(X8,X1,X3,X19)
& circle(X8,X1,X17,X21)
& coll(X2,X1,X19)
& coll(X2,X3,X17)
& circle(X13,X1,X3,X2)
& circle(X20,X19,X17,X2)
& circle(X13,X1,X7,X22)
& circle(X20,X19,X7,X23) )
=> perp(X2,X7,X7,X8) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',exemplo6GDDFULL012018) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD4) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.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/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD40) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD5) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.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/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD42b) ).
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.uQDI2dFz8g/E---3.1_10516.p',ruleD3) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.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.uQDI2dFz8g/E---3.1_10516.p',ruleD14) ).
fof(ruleD51,axiom,
! [X1,X2,X3,X8,X7] :
( ( circle(X8,X1,X2,X3)
& coll(X7,X2,X3)
& eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
=> midp(X7,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD51) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD41) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD16) ).
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/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD45) ).
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.uQDI2dFz8g/E---3.1_10516.p',ruleD17) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD46) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD11) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD68) ).
fof(ruleD53,axiom,
! [X1,X2,X3,X8] :
( ( circle(X8,X1,X2,X3)
& coll(X8,X1,X3) )
=> perp(X1,X2,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD53) ).
fof(ruleD12,axiom,
! [X1,X2,X3,X8] :
( ( cong(X8,X1,X8,X2)
& cong(X8,X1,X8,X3) )
=> circle(X8,X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p',ruleD12) ).
fof(c_0_26,plain,
! [X44,X45,X46,X47,X48,X49] :
( ~ perp(X44,X45,X46,X47)
| ~ perp(X46,X47,X48,X49)
| para(X44,X45,X48,X49) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_27,plain,
! [X155,X156,X157,X158] :
( ~ circle(X158,X155,X156,X157)
| perp(esk22_4(X155,X156,X157,X158),X155,X155,X158) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_28,plain,
! [X40,X41,X42,X43] :
( ~ perp(X40,X41,X42,X43)
| perp(X42,X43,X40,X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_29,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
( perp(esk22_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_32,negated_conjecture,
~ ! [X1,X3,X19,X8,X17,X2,X13,X20,X7,X21,X22,X23] :
( ( circle(X8,X1,X3,X19)
& circle(X8,X1,X17,X21)
& coll(X2,X1,X19)
& coll(X2,X3,X17)
& circle(X13,X1,X3,X2)
& circle(X20,X19,X17,X2)
& circle(X13,X1,X7,X22)
& circle(X20,X19,X7,X23) )
=> perp(X2,X7,X7,X8) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012018]) ).
cnf(c_0_33,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk22_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
( perp(X1,X2,esk22_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_31,c_0_30]) ).
fof(c_0_35,negated_conjecture,
( circle(esk4_0,esk1_0,esk2_0,esk3_0)
& circle(esk4_0,esk1_0,esk5_0,esk10_0)
& coll(esk6_0,esk1_0,esk3_0)
& coll(esk6_0,esk2_0,esk5_0)
& circle(esk7_0,esk1_0,esk2_0,esk6_0)
& circle(esk8_0,esk3_0,esk5_0,esk6_0)
& circle(esk7_0,esk1_0,esk9_0,esk11_0)
& circle(esk8_0,esk3_0,esk9_0,esk12_0)
& ~ perp(esk6_0,esk9_0,esk9_0,esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_36,plain,
! [X233,X234,X235,X236] :
( ~ para(X233,X234,X235,X236)
| para(X233,X234,X236,X235) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_37,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
circle(esk8_0,esk3_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_39,plain,
! [X320,X321,X322,X323,X324,X325,X326,X327] :
( ~ eqangle(X320,X321,X322,X323,X324,X325,X326,X327)
| eqangle(X322,X323,X320,X321,X326,X327,X324,X325) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_40,plain,
! [X253,X254,X255,X256,X257,X258] :
( ~ para(X253,X254,X255,X256)
| eqangle(X253,X254,X257,X258,X255,X256,X257,X258) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_41,plain,
! [X237,X238,X239,X240] :
( ~ para(X237,X238,X239,X240)
| para(X239,X240,X237,X238) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_42,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,negated_conjecture,
para(esk3_0,esk8_0,esk3_0,esk8_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_44,plain,
! [X247,X248,X249,X250,X251,X252] :
( ~ eqangle(X247,X248,X251,X252,X249,X250,X251,X252)
| para(X247,X248,X249,X250) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_45,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_39]) ).
cnf(c_0_46,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,negated_conjecture,
para(esk3_0,esk8_0,esk8_0,esk3_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,negated_conjecture,
para(esk8_0,esk3_0,esk3_0,esk8_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_52,plain,
! [X197,X198,X199] :
( ~ para(X197,X198,X197,X199)
| coll(X197,X198,X199) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_53,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
para(esk8_0,esk3_0,esk8_0,esk3_0),
inference(spm,[status(thm)],[c_0_42,c_0_51]) ).
fof(c_0_55,plain,
! [X182,X183,X184] :
( ~ coll(X182,X183,X184)
| coll(X183,X182,X184) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_56,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_57,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_58,plain,
! [X179,X180,X181] :
( ~ coll(X179,X180,X181)
| coll(X179,X181,X180) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_59,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_60,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_61,plain,
! [X386,X387,X388,X389] :
( ~ eqangle(X388,X386,X388,X387,X389,X386,X389,X387)
| ~ coll(X388,X389,X387)
| cyclic(X386,X387,X388,X389) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_62,plain,
! [X185,X186,X187,X188] :
( ~ coll(X185,X186,X187)
| ~ coll(X185,X186,X188)
| coll(X187,X188,X185) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_63,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_64,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,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_61]) ).
cnf(c_0_66,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_67,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
fof(c_0_68,plain,
! [X365,X366,X367,X368] :
( ~ cyclic(X365,X366,X367,X368)
| cyclic(X365,X367,X366,X368) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_69,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_46]) ).
cnf(c_0_70,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_67])]) ).
fof(c_0_71,plain,
! [X361,X362,X363,X364] :
( ~ cyclic(X361,X362,X363,X364)
| cyclic(X361,X362,X364,X363) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_72,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_73,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_57])]),c_0_70])]) ).
fof(c_0_74,plain,
! [X146,X147,X148,X149,X150] :
( ~ circle(X149,X146,X147,X148)
| ~ coll(X150,X147,X148)
| ~ eqangle(X146,X147,X146,X148,X149,X147,X149,X150)
| midp(X150,X147,X148) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_75,plain,
! [X378,X379,X380,X381] :
( ~ cyclic(X378,X379,X380,X381)
| eqangle(X380,X378,X380,X379,X381,X378,X381,X379) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_76,plain,
! [X369,X370,X371,X372] :
( ~ cyclic(X369,X370,X371,X372)
| cyclic(X370,X369,X371,X372) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_77,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_78,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
fof(c_0_79,plain,
! [X189,X190,X191,X192,X193] :
( ~ midp(X192,X189,X190)
| ~ para(X192,X193,X190,X191)
| ~ coll(X193,X189,X191)
| midp(X193,X189,X191) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_80,plain,
( midp(X5,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X5,X3,X4)
| ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_81,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
fof(c_0_82,plain,
! [X373,X374,X375,X376,X377] :
( ~ cyclic(X373,X374,X375,X376)
| ~ cyclic(X373,X374,X375,X377)
| cyclic(X374,X375,X376,X377) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_83,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_84,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_85,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_86,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_87,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_88,negated_conjecture,
circle(esk8_0,esk3_0,esk9_0,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_89,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_90,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_91,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_92,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_70])]) ).
cnf(c_0_93,negated_conjecture,
( midp(esk12_0,esk9_0,esk12_0)
| ~ cyclic(esk9_0,esk12_0,esk3_0,esk8_0)
| ~ coll(esk12_0,esk9_0,esk12_0) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_94,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_90])]) ).
cnf(c_0_95,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_91]) ).
fof(c_0_96,plain,
! [X309,X310,X311] :
( ~ midp(X311,X310,X309)
| midp(X311,X309,X310) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_97,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_92,c_0_57]) ).
cnf(c_0_98,negated_conjecture,
midp(esk12_0,esk9_0,esk12_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_64])]),c_0_94])]) ).
cnf(c_0_99,plain,
( para(X1,X1,X2,X1)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_95]) ).
fof(c_0_100,plain,
! [X306,X307,X308] :
( ~ midp(X306,X307,X308)
| cong(X306,X307,X306,X308) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_101,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_102,negated_conjecture,
midp(X1,esk9_0,X1),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_103,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X3)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_99]) ).
cnf(c_0_104,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_105,negated_conjecture,
midp(X1,X1,esk9_0),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_106,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_64])]) ).
cnf(c_0_107,negated_conjecture,
cong(X1,X1,X1,esk9_0),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_108,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X1,X2,esk9_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_108,c_0_105]) ).
cnf(c_0_110,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_97,c_0_109]) ).
fof(c_0_111,plain,
! [X151,X152,X153,X154] :
( ~ circle(X154,X151,X152,X153)
| ~ coll(X154,X151,X153)
| perp(X151,X152,X152,X153) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])]) ).
fof(c_0_112,plain,
! [X127,X128,X129,X130] :
( ~ cong(X130,X127,X130,X128)
| ~ cong(X130,X127,X130,X129)
| circle(X130,X127,X128,X129) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])]) ).
cnf(c_0_113,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_101,c_0_110]) ).
cnf(c_0_114,plain,
( perp(X2,X3,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_115,plain,
( circle(X1,X2,X3,X4)
| ~ cong(X1,X2,X1,X3)
| ~ cong(X1,X2,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_116,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_104,c_0_113]) ).
cnf(c_0_117,plain,
( perp(X1,X2,X2,X3)
| ~ circle(X4,X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_70])]) ).
cnf(c_0_118,negated_conjecture,
circle(X1,X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_116])]) ).
cnf(c_0_119,negated_conjecture,
~ perp(esk6_0,esk9_0,esk9_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_120,negated_conjecture,
perp(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_121,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO558+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.15 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 2400
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Oct 3 07:25:01 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.23/0.52 Running first-order model finding
% 0.23/0.52 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.uQDI2dFz8g/E---3.1_10516.p
% 2.00/0.79 # Version: 3.1pre001
% 2.00/0.79 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.00/0.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.00/0.79 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.00/0.79 # Starting new_bool_3 with 300s (1) cores
% 2.00/0.79 # Starting new_bool_1 with 300s (1) cores
% 2.00/0.79 # Starting sh5l with 300s (1) cores
% 2.00/0.79 # new_bool_1 with pid 10595 completed with status 0
% 2.00/0.79 # Result found by new_bool_1
% 2.00/0.79 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.00/0.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.00/0.79 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.00/0.79 # Starting new_bool_3 with 300s (1) cores
% 2.00/0.79 # Starting new_bool_1 with 300s (1) cores
% 2.00/0.79 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.00/0.79 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.00/0.79 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.00/0.79 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.00/0.79 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.00/0.79 # SAT001_MinMin_p005000_rr_RG with pid 10598 completed with status 0
% 2.00/0.79 # Result found by SAT001_MinMin_p005000_rr_RG
% 2.00/0.79 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.00/0.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.00/0.79 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.00/0.79 # Starting new_bool_3 with 300s (1) cores
% 2.00/0.79 # Starting new_bool_1 with 300s (1) cores
% 2.00/0.79 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.00/0.79 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.00/0.79 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.00/0.79 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.00/0.79 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.00/0.79 # Preprocessing time : 0.006 s
% 2.00/0.79 # Presaturation interreduction done
% 2.00/0.79
% 2.00/0.79 # Proof found!
% 2.00/0.79 # SZS status Theorem
% 2.00/0.79 # SZS output start CNFRefutation
% See solution above
% 2.00/0.80 # Parsed axioms : 95
% 2.00/0.80 # Removed by relevancy pruning/SinE : 21
% 2.00/0.80 # Initial clauses : 101
% 2.00/0.80 # Removed in clause preprocessing : 0
% 2.00/0.80 # Initial clauses in saturation : 101
% 2.00/0.80 # Processed clauses : 2980
% 2.00/0.80 # ...of these trivial : 333
% 2.00/0.80 # ...subsumed : 200
% 2.00/0.80 # ...remaining for further processing : 2447
% 2.00/0.80 # Other redundant clauses eliminated : 0
% 2.00/0.80 # Clauses deleted for lack of memory : 0
% 2.00/0.80 # Backward-subsumed : 29
% 2.00/0.80 # Backward-rewritten : 2220
% 2.00/0.80 # Generated clauses : 15867
% 2.00/0.80 # ...of the previous two non-redundant : 9365
% 2.00/0.80 # ...aggressively subsumed : 0
% 2.00/0.80 # Contextual simplify-reflections : 28
% 2.00/0.80 # Paramodulations : 15867
% 2.00/0.80 # Factorizations : 0
% 2.00/0.80 # NegExts : 0
% 2.00/0.80 # Equation resolutions : 0
% 2.00/0.80 # Total rewrite steps : 9915
% 2.00/0.80 # Propositional unsat checks : 0
% 2.00/0.80 # Propositional check models : 0
% 2.00/0.80 # Propositional check unsatisfiable : 0
% 2.00/0.80 # Propositional clauses : 0
% 2.00/0.80 # Propositional clauses after purity: 0
% 2.00/0.80 # Propositional unsat core size : 0
% 2.00/0.80 # Propositional preprocessing time : 0.000
% 2.00/0.80 # Propositional encoding time : 0.000
% 2.00/0.80 # Propositional solver time : 0.000
% 2.00/0.80 # Success case prop preproc time : 0.000
% 2.00/0.80 # Success case prop encoding time : 0.000
% 2.00/0.80 # Success case prop solver time : 0.000
% 2.00/0.80 # Current number of processed clauses : 98
% 2.00/0.80 # Positive orientable unit clauses : 68
% 2.00/0.80 # Positive unorientable unit clauses: 0
% 2.00/0.80 # Negative unit clauses : 0
% 2.00/0.80 # Non-unit-clauses : 30
% 2.00/0.80 # Current number of unprocessed clauses: 6408
% 2.00/0.80 # ...number of literals in the above : 19361
% 2.00/0.80 # Current number of archived formulas : 0
% 2.00/0.80 # Current number of archived clauses : 2349
% 2.00/0.80 # Clause-clause subsumption calls (NU) : 139396
% 2.00/0.80 # Rec. Clause-clause subsumption calls : 133007
% 2.00/0.80 # Non-unit clause-clause subsumptions : 257
% 2.00/0.80 # Unit Clause-clause subsumption calls : 127207
% 2.00/0.80 # Rewrite failures with RHS unbound : 0
% 2.00/0.80 # BW rewrite match attempts : 11143
% 2.00/0.80 # BW rewrite match successes : 1633
% 2.00/0.80 # Condensation attempts : 0
% 2.00/0.80 # Condensation successes : 0
% 2.00/0.80 # Termbank termtop insertions : 176502
% 2.00/0.80
% 2.00/0.80 # -------------------------------------------------
% 2.00/0.80 # User time : 0.247 s
% 2.00/0.80 # System time : 0.013 s
% 2.00/0.80 # Total time : 0.260 s
% 2.00/0.80 # Maximum resident set size: 2360 pages
% 2.00/0.80
% 2.00/0.80 # -------------------------------------------------
% 2.00/0.80 # User time : 0.250 s
% 2.00/0.80 # System time : 0.015 s
% 2.00/0.80 # Total time : 0.266 s
% 2.00/0.80 # Maximum resident set size: 1872 pages
% 2.00/0.80 % E---3.1 exiting
%------------------------------------------------------------------------------