TSTP Solution File: GEO625+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO625+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:33:12 EDT 2023
% Result : Theorem 4.40s 1.05s
% Output : CNFRefutation 4.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 30
% Syntax : Number of formulae : 139 ( 31 unt; 0 def)
% Number of atoms : 327 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 307 ( 119 ~; 116 |; 41 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 591 ( 53 sgn; 304 !; 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.En9As3WdM7/E---3.1_27665.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.En9As3WdM7/E---3.1_27665.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.En9As3WdM7/E---3.1_27665.p',ruleD8) ).
fof(exemplo6GDDFULL8110989,conjecture,
! [X1,X2,X3,X19,X20,X21,X22,X9,X10,X17] :
( ( eqangle(X19,X1,X1,X2,X19,X1,X1,X3)
& eqangle(X19,X2,X2,X3,X19,X2,X2,X1)
& eqangle(X19,X3,X3,X1,X19,X3,X3,X2)
& midp(X20,X2,X1)
& midp(X21,X3,X2)
& midp(X22,X1,X3)
& midp(X9,X19,X2)
& midp(X10,X3,X19)
& circle(X17,X9,X21,X10) )
=> eqangle(X22,X21,X21,X17,X17,X21,X21,X20) ),
file('/export/starexec/sandbox/tmp/tmp.En9As3WdM7/E---3.1_27665.p',exemplo6GDDFULL8110989) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.En9As3WdM7/E---3.1_27665.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.En9As3WdM7/E---3.1_27665.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.En9As3WdM7/E---3.1_27665.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.En9As3WdM7/E---3.1_27665.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.En9As3WdM7/E---3.1_27665.p',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.En9As3WdM7/E---3.1_27665.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.En9As3WdM7/E---3.1_27665.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.En9As3WdM7/E---3.1_27665.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.En9As3WdM7/E---3.1_27665.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.En9As3WdM7/E---3.1_27665.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.En9As3WdM7/E---3.1_27665.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.En9As3WdM7/E---3.1_27665.p',ruleD14) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.En9As3WdM7/E---3.1_27665.p',ruleD16) ).
fof(ruleD43,axiom,
! [X1,X2,X3,X9,X10,X15] :
( ( cyclic(X1,X2,X3,X9)
& cyclic(X1,X2,X3,X10)
& cyclic(X1,X2,X3,X15)
& eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
=> cong(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/tmp/tmp.En9As3WdM7/E---3.1_27665.p',ruleD43) ).
fof(ruleD54,axiom,
! [X1,X2,X3,X4] :
( ( cyclic(X1,X2,X3,X4)
& para(X1,X2,X3,X4) )
=> eqangle(X1,X4,X3,X4,X3,X4,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.En9As3WdM7/E---3.1_27665.p',ruleD54) ).
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.En9As3WdM7/E---3.1_27665.p',ruleD17) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.En9As3WdM7/E---3.1_27665.p',ruleD67) ).
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.En9As3WdM7/E---3.1_27665.p',ruleD45) ).
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/sandbox/tmp/tmp.En9As3WdM7/E---3.1_27665.p',ruleD64) ).
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/sandbox/tmp/tmp.En9As3WdM7/E---3.1_27665.p',ruleD73) ).
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.En9As3WdM7/E---3.1_27665.p',ruleD41) ).
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.En9As3WdM7/E---3.1_27665.p',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.En9As3WdM7/E---3.1_27665.p',ruleD68) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.En9As3WdM7/E---3.1_27665.p',ruleD44) ).
fof(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox/tmp/tmp.En9As3WdM7/E---3.1_27665.p',ruleD21) ).
fof(ruleD22,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
=> eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
file('/export/starexec/sandbox/tmp/tmp.En9As3WdM7/E---3.1_27665.p',ruleD22) ).
fof(c_0_30,plain,
! [X268,X269,X270,X271,X272,X273] :
( ~ perp(X268,X269,X270,X271)
| ~ perp(X270,X271,X272,X273)
| para(X268,X269,X272,X273) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_31,plain,
! [X162,X163,X164,X165] :
( ~ circle(X165,X162,X163,X164)
| perp(esk14_4(X162,X163,X164,X165),X162,X162,X165) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_32,plain,
! [X349,X350,X351,X352] :
( ~ perp(X349,X350,X351,X352)
| perp(X351,X352,X349,X350) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_33,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
( perp(esk14_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_36,negated_conjecture,
~ ! [X1,X2,X3,X19,X20,X21,X22,X9,X10,X17] :
( ( eqangle(X19,X1,X1,X2,X19,X1,X1,X3)
& eqangle(X19,X2,X2,X3,X19,X2,X2,X1)
& eqangle(X19,X3,X3,X1,X19,X3,X3,X2)
& midp(X20,X2,X1)
& midp(X21,X3,X2)
& midp(X22,X1,X3)
& midp(X9,X19,X2)
& midp(X10,X3,X19)
& circle(X17,X9,X21,X10) )
=> eqangle(X22,X21,X21,X17,X17,X21,X21,X20) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110989]) ).
cnf(c_0_37,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk14_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
( perp(X1,X2,esk14_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
fof(c_0_39,negated_conjecture,
( eqangle(esk4_0,esk1_0,esk1_0,esk2_0,esk4_0,esk1_0,esk1_0,esk3_0)
& eqangle(esk4_0,esk2_0,esk2_0,esk3_0,esk4_0,esk2_0,esk2_0,esk1_0)
& eqangle(esk4_0,esk3_0,esk3_0,esk1_0,esk4_0,esk3_0,esk3_0,esk2_0)
& midp(esk5_0,esk2_0,esk1_0)
& midp(esk6_0,esk3_0,esk2_0)
& midp(esk7_0,esk1_0,esk3_0)
& midp(esk8_0,esk4_0,esk2_0)
& midp(esk9_0,esk3_0,esk4_0)
& circle(esk10_0,esk8_0,esk6_0,esk9_0)
& ~ eqangle(esk7_0,esk6_0,esk6_0,esk10_0,esk10_0,esk6_0,esk6_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
fof(c_0_40,plain,
! [X254,X255,X256,X257] :
( ~ para(X254,X255,X256,X257)
| para(X254,X255,X257,X256) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_41,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
circle(esk10_0,esk8_0,esk6_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_43,plain,
! [X41,X42,X43,X44,X45,X46,X47,X48] :
( ~ eqangle(X41,X42,X43,X44,X45,X46,X47,X48)
| eqangle(X43,X44,X41,X42,X47,X48,X45,X46) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_44,plain,
! [X83,X84,X85,X86,X87,X88] :
( ~ para(X83,X84,X85,X86)
| eqangle(X83,X84,X87,X88,X85,X86,X87,X88) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_45,plain,
! [X258,X259,X260,X261] :
( ~ para(X258,X259,X260,X261)
| para(X260,X261,X258,X259) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_46,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,negated_conjecture,
para(esk8_0,esk10_0,esk8_0,esk10_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_48,plain,
! [X77,X78,X79,X80,X81,X82] :
( ~ eqangle(X77,X78,X81,X82,X79,X80,X81,X82)
| para(X77,X78,X79,X80) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_49,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_43]) ).
cnf(c_0_50,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,negated_conjecture,
para(esk8_0,esk10_0,esk10_0,esk8_0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
para(esk10_0,esk8_0,esk8_0,esk10_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_56,plain,
! [X280,X281,X282] :
( ~ para(X280,X281,X280,X282)
| coll(X280,X281,X282) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_57,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
para(esk10_0,esk8_0,esk10_0,esk8_0),
inference(spm,[status(thm)],[c_0_46,c_0_55]) ).
fof(c_0_59,plain,
! [X326,X327,X328] :
( ~ coll(X326,X327,X328)
| coll(X327,X326,X328) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_60,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_61,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_62,plain,
! [X323,X324,X325] :
( ~ coll(X323,X324,X325)
| coll(X323,X325,X324) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_63,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_64,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
fof(c_0_65,plain,
! [X383,X384,X385,X386] :
( ~ eqangle(X385,X383,X385,X384,X386,X383,X386,X384)
| ~ coll(X385,X386,X384)
| cyclic(X383,X384,X385,X386) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_66,plain,
! [X329,X330,X331,X332] :
( ~ coll(X329,X330,X331)
| ~ coll(X329,X330,X332)
| coll(X331,X332,X329) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_67,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_68,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,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_65]) ).
cnf(c_0_70,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
fof(c_0_72,plain,
! [X362,X363,X364,X365] :
( ~ cyclic(X362,X363,X364,X365)
| cyclic(X362,X364,X363,X365) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_73,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_50]) ).
cnf(c_0_74,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_71])]) ).
fof(c_0_75,plain,
! [X358,X359,X360,X361] :
( ~ cyclic(X358,X359,X360,X361)
| cyclic(X358,X359,X361,X360) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_76,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
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_73,c_0_61])]),c_0_74])]) ).
fof(c_0_78,plain,
! [X366,X367,X368,X369] :
( ~ cyclic(X366,X367,X368,X369)
| cyclic(X367,X366,X368,X369) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_79,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_80,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
fof(c_0_81,plain,
! [X387,X388,X389,X390,X391,X392] :
( ~ cyclic(X387,X388,X389,X390)
| ~ cyclic(X387,X388,X389,X391)
| ~ cyclic(X387,X388,X389,X392)
| ~ eqangle(X389,X387,X389,X388,X392,X390,X392,X391)
| cong(X387,X388,X390,X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_82,plain,
! [X393,X394,X395,X396] :
( ~ cyclic(X393,X394,X395,X396)
| ~ para(X393,X394,X395,X396)
| eqangle(X393,X396,X395,X396,X395,X396,X395,X394) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).
fof(c_0_83,plain,
! [X370,X371,X372,X373,X374] :
( ~ cyclic(X370,X371,X372,X373)
| ~ cyclic(X370,X371,X372,X374)
| cyclic(X371,X372,X373,X374) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_84,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_85,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_86,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_81]) ).
cnf(c_0_87,plain,
( eqangle(X1,X4,X3,X4,X3,X4,X3,X2)
| ~ cyclic(X1,X2,X3,X4)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_88,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_89,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
fof(c_0_90,plain,
! [X217,X218,X219] :
( ~ cong(X217,X218,X217,X219)
| ~ coll(X217,X218,X219)
| midp(X217,X218,X219) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_91,plain,
( cong(X1,X1,X1,X2)
| ~ cyclic(X1,X1,X3,X3)
| ~ cyclic(X1,X1,X3,X2)
| ~ cyclic(X1,X1,X3,X1)
| ~ cyclic(X3,X2,X3,X1)
| ~ para(X3,X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_89])]) ).
fof(c_0_93,plain,
! [X194,X195,X196,X197,X198] :
( ~ midp(X197,X194,X195)
| ~ para(X197,X198,X195,X196)
| ~ coll(X198,X194,X196)
| midp(X198,X194,X196) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
fof(c_0_94,plain,
! [X212,X213,X214,X215,X216] :
( ~ midp(X216,X212,X213)
| ~ para(X212,X214,X213,X215)
| ~ para(X212,X215,X213,X214)
| midp(X216,X214,X215) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_95,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_96,plain,
( cong(X1,X1,X1,X2)
| ~ para(X3,X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_77])]),c_0_92]),c_0_92]),c_0_92])]) ).
fof(c_0_97,plain,
! [X103,X104,X105,X106,X107,X108,X109,X110] :
( ~ eqangle(X103,X104,X105,X106,X107,X108,X109,X110)
| ~ para(X107,X108,X109,X110)
| para(X103,X104,X105,X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_98,plain,
! [X375,X376,X377,X378] :
( ~ cyclic(X375,X376,X377,X378)
| eqangle(X377,X375,X377,X376,X378,X375,X378,X376) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
cnf(c_0_99,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_93]) ).
cnf(c_0_100,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_94]) ).
cnf(c_0_101,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_74])]) ).
cnf(c_0_102,negated_conjecture,
cong(X1,X1,X1,X1),
inference(spm,[status(thm)],[c_0_96,c_0_61]) ).
cnf(c_0_103,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ para(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_104,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
fof(c_0_105,plain,
! [X89,X90,X91] :
( ~ cong(X91,X89,X91,X90)
| eqangle(X91,X89,X89,X90,X89,X90,X91,X90) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_106,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_74])]) ).
cnf(c_0_107,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_46,c_0_61]) ).
cnf(c_0_108,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_61]),c_0_61])]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_110,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_111,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
fof(c_0_112,plain,
! [X220,X221,X222] :
( ~ midp(X220,X221,X222)
| cong(X220,X221,X220,X222) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_113,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_114,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_115,plain,
( para(X1,X2,X1,X3)
| ~ para(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_92])]) ).
cnf(c_0_116,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_111]) ).
cnf(c_0_117,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_118,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_119,plain,
( para(X1,X2,X1,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_120,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_121,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_106,c_0_61]) ).
fof(c_0_122,plain,
! [X189,X190,X191,X192,X193] :
( ~ midp(X192,X189,X190)
| ~ midp(X193,X189,X191)
| para(X192,X193,X190,X191) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_123,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120])]) ).
cnf(c_0_124,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_121,c_0_114]) ).
cnf(c_0_125,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_126,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_123]),c_0_124])]) ).
fof(c_0_127,plain,
! [X57,X58,X59,X60,X61,X62,X63,X64] :
( ~ eqangle(X57,X58,X59,X60,X61,X62,X63,X64)
| eqangle(X57,X58,X61,X62,X59,X60,X63,X64) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_128,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126]),c_0_126])]) ).
cnf(c_0_129,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
fof(c_0_130,plain,
! [X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76] :
( ~ eqangle(X65,X66,X67,X68,X69,X70,X71,X72)
| ~ eqangle(X69,X70,X71,X72,X73,X74,X75,X76)
| eqangle(X65,X66,X67,X68,X73,X74,X75,X76) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_131,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_128])]) ).
cnf(c_0_132,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_129,c_0_50]) ).
cnf(c_0_133,plain,
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_134,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_129,c_0_131]) ).
cnf(c_0_135,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_128])]) ).
cnf(c_0_136,negated_conjecture,
~ eqangle(esk7_0,esk6_0,esk6_0,esk10_0,esk10_0,esk6_0,esk6_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_137,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135])]) ).
cnf(c_0_138,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO625+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Oct 3 06:50:14 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.En9As3WdM7/E---3.1_27665.p
% 4.40/1.05 # Version: 3.1pre001
% 4.40/1.05 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.40/1.05 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.40/1.05 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.40/1.05 # Starting new_bool_3 with 300s (1) cores
% 4.40/1.05 # Starting new_bool_1 with 300s (1) cores
% 4.40/1.05 # Starting sh5l with 300s (1) cores
% 4.40/1.05 # new_bool_1 with pid 27745 completed with status 0
% 4.40/1.05 # Result found by new_bool_1
% 4.40/1.05 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.40/1.05 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.40/1.05 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.40/1.05 # Starting new_bool_3 with 300s (1) cores
% 4.40/1.05 # Starting new_bool_1 with 300s (1) cores
% 4.40/1.05 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.40/1.05 # Search class: FGUSF-FFLM33-SFFFFFNN
% 4.40/1.05 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 4.40/1.05 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.40/1.05 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 4.40/1.05 # SAT001_MinMin_p005000_rr_RG with pid 27747 completed with status 0
% 4.40/1.05 # Result found by SAT001_MinMin_p005000_rr_RG
% 4.40/1.05 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.40/1.05 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.40/1.05 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.40/1.05 # Starting new_bool_3 with 300s (1) cores
% 4.40/1.05 # Starting new_bool_1 with 300s (1) cores
% 4.40/1.05 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.40/1.05 # Search class: FGUSF-FFLM33-SFFFFFNN
% 4.40/1.05 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 4.40/1.05 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.40/1.05 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 4.40/1.05 # Preprocessing time : 0.002 s
% 4.40/1.05 # Presaturation interreduction done
% 4.40/1.05
% 4.40/1.05 # Proof found!
% 4.40/1.05 # SZS status Theorem
% 4.40/1.05 # SZS output start CNFRefutation
% See solution above
% 4.40/1.05 # Parsed axioms : 95
% 4.40/1.05 # Removed by relevancy pruning/SinE : 21
% 4.40/1.05 # Initial clauses : 102
% 4.40/1.05 # Removed in clause preprocessing : 0
% 4.40/1.05 # Initial clauses in saturation : 102
% 4.40/1.05 # Processed clauses : 5013
% 4.40/1.05 # ...of these trivial : 1259
% 4.40/1.05 # ...subsumed : 171
% 4.40/1.05 # ...remaining for further processing : 3583
% 4.40/1.05 # Other redundant clauses eliminated : 0
% 4.40/1.05 # Clauses deleted for lack of memory : 0
% 4.40/1.05 # Backward-subsumed : 48
% 4.40/1.05 # Backward-rewritten : 3426
% 4.40/1.05 # Generated clauses : 32388
% 4.40/1.05 # ...of the previous two non-redundant : 21178
% 4.40/1.05 # ...aggressively subsumed : 0
% 4.40/1.05 # Contextual simplify-reflections : 3
% 4.40/1.05 # Paramodulations : 32388
% 4.40/1.05 # Factorizations : 0
% 4.40/1.05 # NegExts : 0
% 4.40/1.05 # Equation resolutions : 0
% 4.40/1.05 # Total rewrite steps : 17417
% 4.40/1.05 # Propositional unsat checks : 0
% 4.40/1.05 # Propositional check models : 0
% 4.40/1.05 # Propositional check unsatisfiable : 0
% 4.40/1.05 # Propositional clauses : 0
% 4.40/1.05 # Propositional clauses after purity: 0
% 4.40/1.05 # Propositional unsat core size : 0
% 4.40/1.05 # Propositional preprocessing time : 0.000
% 4.40/1.05 # Propositional encoding time : 0.000
% 4.40/1.05 # Propositional solver time : 0.000
% 4.40/1.05 # Success case prop preproc time : 0.000
% 4.40/1.05 # Success case prop encoding time : 0.000
% 4.40/1.05 # Success case prop solver time : 0.000
% 4.40/1.05 # Current number of processed clauses : 8
% 4.40/1.05 # Positive orientable unit clauses : 8
% 4.40/1.05 # Positive unorientable unit clauses: 0
% 4.40/1.05 # Negative unit clauses : 0
% 4.40/1.05 # Non-unit-clauses : 0
% 4.40/1.05 # Current number of unprocessed clauses: 12580
% 4.40/1.05 # ...number of literals in the above : 39829
% 4.40/1.05 # Current number of archived formulas : 0
% 4.40/1.05 # Current number of archived clauses : 3575
% 4.40/1.05 # Clause-clause subsumption calls (NU) : 66721
% 4.40/1.05 # Rec. Clause-clause subsumption calls : 49222
% 4.40/1.05 # Non-unit clause-clause subsumptions : 221
% 4.40/1.05 # Unit Clause-clause subsumption calls : 125232
% 4.40/1.05 # Rewrite failures with RHS unbound : 0
% 4.40/1.05 # BW rewrite match attempts : 57832
% 4.40/1.05 # BW rewrite match successes : 2885
% 4.40/1.05 # Condensation attempts : 0
% 4.40/1.05 # Condensation successes : 0
% 4.40/1.05 # Termbank termtop insertions : 354684
% 4.40/1.05
% 4.40/1.05 # -------------------------------------------------
% 4.40/1.05 # User time : 0.531 s
% 4.40/1.05 # System time : 0.018 s
% 4.40/1.05 # Total time : 0.549 s
% 4.40/1.05 # Maximum resident set size: 2360 pages
% 4.40/1.05
% 4.40/1.05 # -------------------------------------------------
% 4.40/1.05 # User time : 0.534 s
% 4.40/1.05 # System time : 0.020 s
% 4.40/1.05 # Total time : 0.555 s
% 4.40/1.05 # Maximum resident set size: 1876 pages
% 4.40/1.05 % E---3.1 exiting
% 4.40/1.05 % E---3.1 exiting
%------------------------------------------------------------------------------