TSTP Solution File: GEO626+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO626+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 17:35:25 EDT 2023
% Result : Theorem 2.71s 0.88s
% Output : CNFRefutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 25
% Syntax : Number of formulae : 115 ( 26 unt; 0 def)
% Number of atoms : 274 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 255 ( 96 ~; 93 |; 40 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 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 : 451 ( 33 sgn; 242 !; 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/sandbox2/tmp/tmp.pvLVSH7oIQ/E---3.1_11746.p',ruleD9) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox2/tmp/tmp.pvLVSH7oIQ/E---3.1_11746.p',ruleX11) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.pvLVSH7oIQ/E---3.1_11746.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.pvLVSH7oIQ/E---3.1_11746.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.pvLVSH7oIQ/E---3.1_11746.p',ruleD40) ).
fof(exemplo6GDDFULL8110990,conjecture,
! [X1,X2,X3,X8,X4,X13,X6,X19,X20,X21,X22,X23] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X4,X21)
& perp(X13,X4,X1,X2)
& coll(X13,X1,X2)
& perp(X6,X4,X1,X3)
& coll(X6,X1,X3)
& circle(X8,X4,X19,X22)
& coll(X19,X4,X13)
& circle(X8,X4,X20,X23)
& coll(X20,X4,X6) )
=> para(X19,X3,X20,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.pvLVSH7oIQ/E---3.1_11746.p',exemplo6GDDFULL8110990) ).
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.pvLVSH7oIQ/E---3.1_11746.p',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.pvLVSH7oIQ/E---3.1_11746.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.pvLVSH7oIQ/E---3.1_11746.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.pvLVSH7oIQ/E---3.1_11746.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.pvLVSH7oIQ/E---3.1_11746.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.pvLVSH7oIQ/E---3.1_11746.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.pvLVSH7oIQ/E---3.1_11746.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.pvLVSH7oIQ/E---3.1_11746.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/sandbox2/tmp/tmp.pvLVSH7oIQ/E---3.1_11746.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/sandbox2/tmp/tmp.pvLVSH7oIQ/E---3.1_11746.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.pvLVSH7oIQ/E---3.1_11746.p',ruleD16) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X4)
& cyclic(X1,X2,X3,X5) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.pvLVSH7oIQ/E---3.1_11746.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.pvLVSH7oIQ/E---3.1_11746.p',ruleD45) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.pvLVSH7oIQ/E---3.1_11746.p',ruleD11) ).
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.pvLVSH7oIQ/E---3.1_11746.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.pvLVSH7oIQ/E---3.1_11746.p',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.pvLVSH7oIQ/E---3.1_11746.p',ruleD68) ).
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.pvLVSH7oIQ/E---3.1_11746.p',ruleD64) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.pvLVSH7oIQ/E---3.1_11746.p',ruleD44) ).
fof(c_0_25,plain,
! [X50,X51,X52,X53,X54,X55] :
( ~ perp(X50,X51,X52,X53)
| ~ perp(X52,X53,X54,X55)
| para(X50,X51,X54,X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_26,plain,
! [X231,X232,X233,X234] :
( ~ circle(X234,X231,X232,X233)
| perp(esk26_4(X231,X232,X233,X234),X231,X231,X234) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_27,plain,
! [X259,X260,X261,X262] :
( ~ perp(X259,X260,X261,X262)
| perp(X261,X262,X259,X260) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_28,plain,
! [X297,X298,X299,X300,X301,X302,X303,X304] :
( ~ eqangle(X297,X298,X299,X300,X301,X302,X303,X304)
| eqangle(X299,X300,X297,X298,X303,X304,X301,X302) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_29,plain,
! [X68,X69,X70,X71,X72,X73] :
( ~ para(X68,X69,X70,X71)
| eqangle(X68,X69,X72,X73,X70,X71,X72,X73) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_30,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
( perp(esk26_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_33,negated_conjecture,
~ ! [X1,X2,X3,X8,X4,X13,X6,X19,X20,X21,X22,X23] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X4,X21)
& perp(X13,X4,X1,X2)
& coll(X13,X1,X2)
& perp(X6,X4,X1,X3)
& coll(X6,X1,X3)
& circle(X8,X4,X19,X22)
& coll(X19,X4,X13)
& circle(X8,X4,X20,X23)
& coll(X20,X4,X6) )
=> para(X19,X3,X20,X2) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110990]) ).
fof(c_0_34,plain,
! [X62,X63,X64,X65,X66,X67] :
( ~ eqangle(X62,X63,X66,X67,X64,X65,X66,X67)
| para(X62,X63,X64,X65) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_35,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_28]) ).
cnf(c_0_36,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk26_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
( perp(X1,X2,esk26_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
fof(c_0_39,negated_conjecture,
( circle(esk4_0,esk1_0,esk2_0,esk3_0)
& circle(esk4_0,esk1_0,esk5_0,esk10_0)
& perp(esk6_0,esk5_0,esk1_0,esk2_0)
& coll(esk6_0,esk1_0,esk2_0)
& perp(esk7_0,esk5_0,esk1_0,esk3_0)
& coll(esk7_0,esk1_0,esk3_0)
& circle(esk4_0,esk5_0,esk8_0,esk11_0)
& coll(esk8_0,esk5_0,esk6_0)
& circle(esk4_0,esk5_0,esk9_0,esk12_0)
& coll(esk9_0,esk5_0,esk7_0)
& ~ para(esk8_0,esk3_0,esk9_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
cnf(c_0_40,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
circle(esk4_0,esk5_0,esk8_0,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_44,plain,
! [X94,X95,X96] :
( ~ para(X94,X95,X94,X96)
| coll(X94,X95,X96) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_45,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
para(esk5_0,esk4_0,esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_47,plain,
! [X143,X144,X145] :
( ~ coll(X143,X144,X145)
| coll(X144,X143,X145) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_48,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_50,plain,
! [X140,X141,X142] :
( ~ coll(X140,X141,X142)
| coll(X140,X142,X141) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_51,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_53,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_54,plain,
! [X146,X147,X148,X149] :
( ~ coll(X146,X147,X148)
| ~ coll(X146,X147,X149)
| coll(X148,X149,X146) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_55,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,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_53]) ).
cnf(c_0_58,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_60,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_61,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_36]) ).
cnf(c_0_62,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_59])]) ).
fof(c_0_63,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_64,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_49])]),c_0_62])]) ).
fof(c_0_66,plain,
! [X222,X223,X224,X225,X226] :
( ~ circle(X225,X222,X223,X224)
| ~ coll(X226,X223,X224)
| ~ eqangle(X222,X223,X222,X224,X225,X223,X225,X226)
| midp(X226,X223,X224) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_67,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_68,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_69,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_70,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,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_66]) ).
cnf(c_0_72,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
fof(c_0_73,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_74,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_76,plain,
! [X79,X80,X81,X82,X83] :
( ~ midp(X82,X79,X80)
| ~ para(X82,X83,X80,X81)
| ~ coll(X83,X79,X81)
| midp(X83,X79,X81) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_77,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_71,c_0_72]) ).
cnf(c_0_78,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_79,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,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_76]) ).
cnf(c_0_81,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_56])]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_79])]) ).
cnf(c_0_83,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_62])]) ).
cnf(c_0_84,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82])]) ).
cnf(c_0_85,negated_conjecture,
circle(esk4_0,esk5_0,esk9_0,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_86,plain,
! [X336,X337,X338] :
( ~ midp(X338,X337,X336)
| midp(X338,X336,X337) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_87,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_83,c_0_49]) ).
cnf(c_0_88,negated_conjecture,
midp(esk12_0,esk9_0,esk12_0),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
fof(c_0_89,plain,
! [X105,X106,X107,X108,X109,X110,X111,X112] :
( ~ eqangle(X105,X106,X107,X108,X109,X110,X111,X112)
| ~ para(X109,X110,X111,X112)
| para(X105,X106,X107,X108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_90,plain,
! [X333,X334,X335] :
( ~ cong(X335,X333,X335,X334)
| eqangle(X335,X333,X333,X334,X333,X334,X335,X334) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_91,plain,
! [X339,X340,X341] :
( ~ midp(X339,X340,X341)
| cong(X339,X340,X339,X341) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_92,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_93,negated_conjecture,
midp(X1,esk9_0,X1),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_94,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_89]) ).
cnf(c_0_95,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_96,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_97,negated_conjecture,
midp(X1,X1,esk9_0),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_98,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,negated_conjecture,
cong(X1,X1,X1,esk9_0),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
fof(c_0_100,plain,
! [X89,X90,X91,X92,X93] :
( ~ midp(X93,X89,X90)
| ~ para(X89,X91,X90,X92)
| ~ para(X89,X92,X90,X91)
| midp(X93,X91,X92) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_101,negated_conjecture,
para(X1,X1,X1,esk9_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_49])]) ).
cnf(c_0_102,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_100]) ).
cnf(c_0_103,negated_conjecture,
( midp(X1,X2,esk9_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_101]) ).
cnf(c_0_104,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_49]),c_0_49])]) ).
cnf(c_0_105,negated_conjecture,
midp(X1,esk9_0,esk9_0),
inference(spm,[status(thm)],[c_0_103,c_0_93]) ).
cnf(c_0_106,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_107,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_87,c_0_106]) ).
fof(c_0_108,plain,
! [X74,X75,X76,X77,X78] :
( ~ midp(X77,X74,X75)
| ~ midp(X78,X74,X76)
| para(X77,X78,X75,X76) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,X2,esk9_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_107])]) ).
cnf(c_0_110,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_111,negated_conjecture,
midp(X1,esk9_0,X2),
inference(spm,[status(thm)],[c_0_92,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
~ para(esk8_0,esk3_0,esk9_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_113,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_111])]) ).
cnf(c_0_114,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO626+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.15 % Command : run_E %s %d THM
% 0.16/0.37 % Computer : n011.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 06:49:23 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.53 Running first-order model finding
% 0.23/0.53 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.pvLVSH7oIQ/E---3.1_11746.p
% 2.71/0.88 # Version: 3.1pre001
% 2.71/0.88 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.71/0.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.71/0.88 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.71/0.88 # Starting new_bool_3 with 300s (1) cores
% 2.71/0.88 # Starting new_bool_1 with 300s (1) cores
% 2.71/0.88 # Starting sh5l with 300s (1) cores
% 2.71/0.88 # new_bool_3 with pid 11824 completed with status 0
% 2.71/0.88 # Result found by new_bool_3
% 2.71/0.88 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.71/0.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.71/0.88 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.71/0.88 # Starting new_bool_3 with 300s (1) cores
% 2.71/0.88 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.71/0.88 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.71/0.88 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.71/0.88 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.71/0.88 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.71/0.88 # SAT001_MinMin_p005000_rr_RG with pid 11827 completed with status 0
% 2.71/0.88 # Result found by SAT001_MinMin_p005000_rr_RG
% 2.71/0.88 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.71/0.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.71/0.88 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.71/0.88 # Starting new_bool_3 with 300s (1) cores
% 2.71/0.88 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.71/0.88 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.71/0.88 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.71/0.88 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.71/0.88 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.71/0.88 # Preprocessing time : 0.003 s
% 2.71/0.88 # Presaturation interreduction done
% 2.71/0.88
% 2.71/0.88 # Proof found!
% 2.71/0.88 # SZS status Theorem
% 2.71/0.88 # SZS output start CNFRefutation
% See solution above
% 2.71/0.88 # Parsed axioms : 95
% 2.71/0.88 # Removed by relevancy pruning/SinE : 21
% 2.71/0.88 # Initial clauses : 103
% 2.71/0.88 # Removed in clause preprocessing : 0
% 2.71/0.88 # Initial clauses in saturation : 103
% 2.71/0.88 # Processed clauses : 3297
% 2.71/0.88 # ...of these trivial : 446
% 2.71/0.88 # ...subsumed : 76
% 2.71/0.88 # ...remaining for further processing : 2775
% 2.71/0.88 # Other redundant clauses eliminated : 0
% 2.71/0.88 # Clauses deleted for lack of memory : 0
% 2.71/0.88 # Backward-subsumed : 7
% 2.71/0.88 # Backward-rewritten : 2459
% 2.71/0.88 # Generated clauses : 20507
% 2.71/0.88 # ...of the previous two non-redundant : 10379
% 2.71/0.88 # ...aggressively subsumed : 0
% 2.71/0.88 # Contextual simplify-reflections : 9
% 2.71/0.88 # Paramodulations : 20507
% 2.71/0.88 # Factorizations : 0
% 2.71/0.88 # NegExts : 0
% 2.71/0.88 # Equation resolutions : 0
% 2.71/0.88 # Total rewrite steps : 14001
% 2.71/0.88 # Propositional unsat checks : 0
% 2.71/0.88 # Propositional check models : 0
% 2.71/0.88 # Propositional check unsatisfiable : 0
% 2.71/0.88 # Propositional clauses : 0
% 2.71/0.88 # Propositional clauses after purity: 0
% 2.71/0.88 # Propositional unsat core size : 0
% 2.71/0.88 # Propositional preprocessing time : 0.000
% 2.71/0.88 # Propositional encoding time : 0.000
% 2.71/0.88 # Propositional solver time : 0.000
% 2.71/0.88 # Success case prop preproc time : 0.000
% 2.71/0.88 # Success case prop encoding time : 0.000
% 2.71/0.88 # Success case prop solver time : 0.000
% 2.71/0.88 # Current number of processed clauses : 207
% 2.71/0.88 # Positive orientable unit clauses : 98
% 2.71/0.88 # Positive unorientable unit clauses: 0
% 2.71/0.88 # Negative unit clauses : 0
% 2.71/0.88 # Non-unit-clauses : 109
% 2.71/0.88 # Current number of unprocessed clauses: 6779
% 2.71/0.88 # ...number of literals in the above : 22153
% 2.71/0.88 # Current number of archived formulas : 0
% 2.71/0.88 # Current number of archived clauses : 2568
% 2.71/0.88 # Clause-clause subsumption calls (NU) : 172105
% 2.71/0.88 # Rec. Clause-clause subsumption calls : 162723
% 2.71/0.88 # Non-unit clause-clause subsumptions : 92
% 2.71/0.88 # Unit Clause-clause subsumption calls : 102265
% 2.71/0.88 # Rewrite failures with RHS unbound : 0
% 2.71/0.88 # BW rewrite match attempts : 14440
% 2.71/0.88 # BW rewrite match successes : 1828
% 2.71/0.88 # Condensation attempts : 0
% 2.71/0.88 # Condensation successes : 0
% 2.71/0.88 # Termbank termtop insertions : 220553
% 2.71/0.88
% 2.71/0.88 # -------------------------------------------------
% 2.71/0.88 # User time : 0.310 s
% 2.71/0.88 # System time : 0.017 s
% 2.71/0.88 # Total time : 0.327 s
% 2.71/0.88 # Maximum resident set size: 2368 pages
% 2.71/0.88
% 2.71/0.88 # -------------------------------------------------
% 2.71/0.88 # User time : 0.311 s
% 2.71/0.88 # System time : 0.021 s
% 2.71/0.88 # Total time : 0.333 s
% 2.71/0.88 # Maximum resident set size: 1872 pages
% 2.71/0.88 % E---3.1 exiting
%------------------------------------------------------------------------------