TSTP Solution File: GEO562+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO562+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 0.38s 0.91s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 30
% Syntax : Number of formulae : 139 ( 34 unt; 0 def)
% Number of atoms : 317 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 287 ( 109 ~; 106 |; 41 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-4 aty)
% Number of variables : 595 ( 57 sgn; 312 !; 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.quosj3uT9u/E---3.1_21128.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.quosj3uT9u/E---3.1_21128.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.quosj3uT9u/E---3.1_21128.p',ruleD8) ).
fof(exemplo6GDDFULL214023,conjecture,
! [X1,X3,X4,X8,X2,X7,X5,X6,X13,X19,X20] :
( ( circle(X8,X1,X3,X4)
& perp(X3,X8,X1,X2)
& circle(X8,X1,X2,X19)
& coll(X7,X3,X8)
& coll(X7,X1,X2)
& circle(X8,X1,X5,X20)
& coll(X6,X1,X2)
& coll(X6,X3,X4)
& coll(X13,X1,X2)
& coll(X13,X3,X5) )
=> eqangle(X1,X13,X13,X3,X3,X4,X4,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.quosj3uT9u/E---3.1_21128.p',exemplo6GDDFULL214023) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.quosj3uT9u/E---3.1_21128.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/sandbox2/tmp/tmp.quosj3uT9u/E---3.1_21128.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.quosj3uT9u/E---3.1_21128.p',ruleD40) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.quosj3uT9u/E---3.1_21128.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/sandbox2/tmp/tmp.quosj3uT9u/E---3.1_21128.p',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.quosj3uT9u/E---3.1_21128.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.quosj3uT9u/E---3.1_21128.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.quosj3uT9u/E---3.1_21128.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.quosj3uT9u/E---3.1_21128.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.quosj3uT9u/E---3.1_21128.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.quosj3uT9u/E---3.1_21128.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.quosj3uT9u/E---3.1_21128.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.quosj3uT9u/E---3.1_21128.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.quosj3uT9u/E---3.1_21128.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.quosj3uT9u/E---3.1_21128.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.quosj3uT9u/E---3.1_21128.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.quosj3uT9u/E---3.1_21128.p',ruleD45) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.quosj3uT9u/E---3.1_21128.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.quosj3uT9u/E---3.1_21128.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.quosj3uT9u/E---3.1_21128.p',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.quosj3uT9u/E---3.1_21128.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.quosj3uT9u/E---3.1_21128.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.quosj3uT9u/E---3.1_21128.p',ruleD44) ).
fof(ruleD20,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.quosj3uT9u/E---3.1_21128.p',ruleD20) ).
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/sandbox2/tmp/tmp.quosj3uT9u/E---3.1_21128.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/sandbox2/tmp/tmp.quosj3uT9u/E---3.1_21128.p',ruleD22) ).
fof(c_0_30,plain,
! [X305,X306,X307,X308,X309,X310] :
( ~ perp(X305,X306,X307,X308)
| ~ perp(X307,X308,X309,X310)
| para(X305,X306,X309,X310) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_31,plain,
! [X281,X282,X283,X284] :
( ~ circle(X284,X281,X282,X283)
| perp(esk26_4(X281,X282,X283,X284),X281,X281,X284) ),
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,
! [X301,X302,X303,X304] :
( ~ perp(X301,X302,X303,X304)
| perp(X303,X304,X301,X302) ),
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(esk26_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,X3,X4,X8,X2,X7,X5,X6,X13,X19,X20] :
( ( circle(X8,X1,X3,X4)
& perp(X3,X8,X1,X2)
& circle(X8,X1,X2,X19)
& coll(X7,X3,X8)
& coll(X7,X1,X2)
& circle(X8,X1,X5,X20)
& coll(X6,X1,X2)
& coll(X6,X3,X4)
& coll(X13,X1,X2)
& coll(X13,X3,X5) )
=> eqangle(X1,X13,X13,X3,X3,X4,X4,X5) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214023]) ).
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_33,c_0_34]) ).
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_35,c_0_34]) ).
fof(c_0_39,negated_conjecture,
( circle(esk4_0,esk1_0,esk2_0,esk3_0)
& perp(esk2_0,esk4_0,esk1_0,esk5_0)
& circle(esk4_0,esk1_0,esk5_0,esk10_0)
& coll(esk6_0,esk2_0,esk4_0)
& coll(esk6_0,esk1_0,esk5_0)
& circle(esk4_0,esk1_0,esk7_0,esk11_0)
& coll(esk8_0,esk1_0,esk5_0)
& coll(esk8_0,esk2_0,esk3_0)
& coll(esk9_0,esk1_0,esk5_0)
& coll(esk9_0,esk2_0,esk7_0)
& ~ eqangle(esk1_0,esk9_0,esk9_0,esk2_0,esk2_0,esk3_0,esk3_0,esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
fof(c_0_40,plain,
! [X345,X346,X347,X348] :
( ~ para(X345,X346,X347,X348)
| para(X345,X346,X348,X347) ),
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(esk4_0,esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_43,plain,
! [X40,X41,X42,X43,X44,X45,X46,X47] :
( ~ eqangle(X40,X41,X42,X43,X44,X45,X46,X47)
| eqangle(X42,X43,X40,X41,X46,X47,X44,X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_44,plain,
! [X82,X83,X84,X85,X86,X87] :
( ~ para(X82,X83,X84,X85)
| eqangle(X82,X83,X86,X87,X84,X85,X86,X87) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_45,plain,
! [X349,X350,X351,X352] :
( ~ para(X349,X350,X351,X352)
| para(X351,X352,X349,X350) ),
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(esk1_0,esk4_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_48,plain,
! [X76,X77,X78,X79,X80,X81] :
( ~ eqangle(X76,X77,X80,X81,X78,X79,X80,X81)
| para(X76,X77,X78,X79) ),
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(esk1_0,esk4_0,esk4_0,esk1_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(esk4_0,esk1_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_56,plain,
! [X217,X218,X219] :
( ~ para(X217,X218,X217,X219)
| coll(X217,X218,X219) ),
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(esk4_0,esk1_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_46,c_0_55]) ).
fof(c_0_59,plain,
! [X196,X197,X198] :
( ~ coll(X196,X197,X198)
| coll(X197,X196,X198) ),
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,
! [X193,X194,X195] :
( ~ coll(X193,X194,X195)
| coll(X193,X195,X194) ),
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,
! [X96,X97,X98,X99] :
( ~ eqangle(X98,X96,X98,X97,X99,X96,X99,X97)
| ~ coll(X98,X99,X97)
| cyclic(X96,X97,X98,X99) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_66,plain,
! [X199,X200,X201,X202] :
( ~ coll(X199,X200,X201)
| ~ coll(X199,X200,X202)
| coll(X201,X202,X199) ),
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,
! [X390,X391,X392,X393] :
( ~ cyclic(X390,X391,X392,X393)
| cyclic(X390,X392,X391,X393) ),
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,
! [X386,X387,X388,X389] :
( ~ cyclic(X386,X387,X388,X389)
| cyclic(X386,X387,X389,X388) ),
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,
! [X127,X128,X129,X130,X131] :
( ~ circle(X130,X127,X128,X129)
| ~ coll(X131,X128,X129)
| ~ eqangle(X127,X128,X127,X129,X130,X128,X130,X131)
| midp(X131,X128,X129) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_79,plain,
! [X88,X89,X90,X91] :
( ~ cyclic(X88,X89,X90,X91)
| eqangle(X90,X88,X90,X89,X91,X88,X91,X89) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_80,plain,
! [X394,X395,X396,X397] :
( ~ cyclic(X394,X395,X396,X397)
| cyclic(X395,X394,X396,X397) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_81,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,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_78]) ).
cnf(c_0_84,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
fof(c_0_85,plain,
! [X398,X399,X400,X401,X402] :
( ~ cyclic(X398,X399,X400,X401)
| ~ cyclic(X398,X399,X400,X402)
| cyclic(X399,X400,X401,X402) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_86,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_87,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
fof(c_0_88,plain,
! [X203,X204,X205,X206,X207] :
( ~ midp(X206,X203,X204)
| ~ para(X206,X207,X204,X205)
| ~ coll(X207,X203,X205)
| midp(X207,X203,X205) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_89,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_83,c_0_84]) ).
cnf(c_0_90,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_91,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,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_88]) ).
cnf(c_0_93,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_89,c_0_68])]) ).
cnf(c_0_94,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_91])]) ).
cnf(c_0_95,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_74])]) ).
cnf(c_0_96,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]) ).
cnf(c_0_97,negated_conjecture,
circle(esk4_0,esk1_0,esk7_0,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_98,plain,
! [X440,X441,X442] :
( ~ midp(X442,X441,X440)
| midp(X442,X440,X441) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_99,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_61]) ).
cnf(c_0_100,negated_conjecture,
midp(esk11_0,esk7_0,esk11_0),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
fof(c_0_101,plain,
! [X156,X157,X158,X159,X160,X161,X162,X163] :
( ~ eqangle(X156,X157,X158,X159,X160,X161,X162,X163)
| ~ para(X160,X161,X162,X163)
| para(X156,X157,X158,X159) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_102,plain,
! [X106,X107,X108] :
( ~ cong(X108,X106,X108,X107)
| eqangle(X108,X106,X106,X107,X106,X107,X108,X107) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_103,plain,
! [X429,X430,X431] :
( ~ midp(X429,X430,X431)
| cong(X429,X430,X429,X431) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_104,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_105,negated_conjecture,
midp(X1,esk7_0,X1),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_106,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ para(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_107,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_108,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,X1,esk7_0),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_110,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,negated_conjecture,
cong(X1,X1,X1,esk7_0),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
fof(c_0_112,plain,
! [X369,X370,X371,X372,X373] :
( ~ midp(X373,X369,X370)
| ~ para(X369,X371,X370,X372)
| ~ para(X369,X372,X370,X371)
| midp(X373,X371,X372) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_113,negated_conjecture,
para(X1,X1,X1,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_61])]) ).
cnf(c_0_114,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_112]) ).
cnf(c_0_115,negated_conjecture,
( midp(X1,X2,esk7_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_113]) ).
cnf(c_0_116,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_61]),c_0_61])]) ).
cnf(c_0_117,negated_conjecture,
midp(X1,esk7_0,esk7_0),
inference(spm,[status(thm)],[c_0_115,c_0_105]) ).
cnf(c_0_118,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_119,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_99,c_0_118]) ).
fof(c_0_120,plain,
! [X359,X360,X361,X362,X363] :
( ~ midp(X362,X359,X360)
| ~ midp(X363,X359,X361)
| para(X362,X363,X360,X361) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_121,negated_conjecture,
midp(X1,X2,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_119])]) ).
fof(c_0_122,plain,
! [X48,X49,X50,X51,X52,X53,X54,X55] :
( ~ eqangle(X48,X49,X50,X51,X52,X53,X54,X55)
| eqangle(X52,X53,X54,X55,X48,X49,X50,X51) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
cnf(c_0_123,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_124,negated_conjecture,
midp(X1,esk7_0,X2),
inference(spm,[status(thm)],[c_0_104,c_0_121]) ).
cnf(c_0_125,plain,
( eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
fof(c_0_126,plain,
! [X56,X57,X58,X59,X60,X61,X62,X63] :
( ~ eqangle(X56,X57,X58,X59,X60,X61,X62,X63)
| eqangle(X56,X57,X60,X61,X58,X59,X62,X63) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_127,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_124])]) ).
cnf(c_0_128,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X5,X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_125,c_0_50]) ).
fof(c_0_129,plain,
! [X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75] :
( ~ eqangle(X64,X65,X66,X67,X68,X69,X70,X71)
| ~ eqangle(X68,X69,X70,X71,X72,X73,X74,X75)
| eqangle(X64,X65,X66,X67,X72,X73,X74,X75) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_130,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_126]) ).
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_127])]) ).
cnf(c_0_132,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_127])]) ).
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_129]) ).
cnf(c_0_134,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_135,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_130,c_0_132]) ).
cnf(c_0_136,negated_conjecture,
~ eqangle(esk1_0,esk9_0,esk9_0,esk2_0,esk2_0,esk3_0,esk3_0,esk7_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 : GEO562+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n012.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 2400
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Oct 3 06:55:05 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.20/0.52 Running first-order model finding
% 0.20/0.52 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.quosj3uT9u/E---3.1_21128.p
% 0.38/0.91 # Version: 3.1pre001
% 0.38/0.91 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.91 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.91 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.91 # Starting new_bool_3 with 300s (1) cores
% 0.38/0.91 # Starting new_bool_1 with 300s (1) cores
% 0.38/0.91 # Starting sh5l with 300s (1) cores
% 0.38/0.91 # sh5l with pid 21252 completed with status 0
% 0.38/0.91 # Result found by sh5l
% 0.38/0.91 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.91 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.91 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.91 # Starting new_bool_3 with 300s (1) cores
% 0.38/0.91 # Starting new_bool_1 with 300s (1) cores
% 0.38/0.91 # Starting sh5l with 300s (1) cores
% 0.38/0.91 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.38/0.91 # Search class: FGUSF-FFLM33-SFFFFFNN
% 0.38/0.91 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.38/0.91 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.91 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.38/0.91 # SAT001_MinMin_p005000_rr_RG with pid 21256 completed with status 0
% 0.38/0.91 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.38/0.91 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.91 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.91 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.91 # Starting new_bool_3 with 300s (1) cores
% 0.38/0.91 # Starting new_bool_1 with 300s (1) cores
% 0.38/0.91 # Starting sh5l with 300s (1) cores
% 0.38/0.91 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.38/0.91 # Search class: FGUSF-FFLM33-SFFFFFNN
% 0.38/0.91 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.38/0.91 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.91 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.38/0.91 # Preprocessing time : 0.004 s
% 0.38/0.91 # Presaturation interreduction done
% 0.38/0.91
% 0.38/0.91 # Proof found!
% 0.38/0.91 # SZS status Theorem
% 0.38/0.91 # SZS output start CNFRefutation
% See solution above
% 0.38/0.91 # Parsed axioms : 95
% 0.38/0.91 # Removed by relevancy pruning/SinE : 0
% 0.38/0.91 # Initial clauses : 124
% 0.38/0.91 # Removed in clause preprocessing : 0
% 0.38/0.91 # Initial clauses in saturation : 124
% 0.38/0.91 # Processed clauses : 3376
% 0.38/0.91 # ...of these trivial : 479
% 0.38/0.91 # ...subsumed : 83
% 0.38/0.91 # ...remaining for further processing : 2814
% 0.38/0.91 # Other redundant clauses eliminated : 0
% 0.38/0.91 # Clauses deleted for lack of memory : 0
% 0.38/0.91 # Backward-subsumed : 14
% 0.38/0.91 # Backward-rewritten : 2651
% 0.38/0.91 # Generated clauses : 19727
% 0.38/0.91 # ...of the previous two non-redundant : 10063
% 0.38/0.91 # ...aggressively subsumed : 0
% 0.38/0.91 # Contextual simplify-reflections : 15
% 0.38/0.91 # Paramodulations : 19727
% 0.38/0.91 # Factorizations : 0
% 0.38/0.91 # NegExts : 0
% 0.38/0.91 # Equation resolutions : 0
% 0.38/0.91 # Total rewrite steps : 13907
% 0.38/0.91 # Propositional unsat checks : 0
% 0.38/0.91 # Propositional check models : 0
% 0.38/0.91 # Propositional check unsatisfiable : 0
% 0.38/0.91 # Propositional clauses : 0
% 0.38/0.91 # Propositional clauses after purity: 0
% 0.38/0.91 # Propositional unsat core size : 0
% 0.38/0.91 # Propositional preprocessing time : 0.000
% 0.38/0.91 # Propositional encoding time : 0.000
% 0.38/0.91 # Propositional solver time : 0.000
% 0.38/0.91 # Success case prop preproc time : 0.000
% 0.38/0.91 # Success case prop encoding time : 0.000
% 0.38/0.91 # Success case prop solver time : 0.000
% 0.38/0.91 # Current number of processed clauses : 26
% 0.38/0.91 # Positive orientable unit clauses : 12
% 0.38/0.91 # Positive unorientable unit clauses: 0
% 0.38/0.91 # Negative unit clauses : 0
% 0.38/0.91 # Non-unit-clauses : 14
% 0.38/0.91 # Current number of unprocessed clauses: 5527
% 0.38/0.91 # ...number of literals in the above : 19136
% 0.38/0.91 # Current number of archived formulas : 0
% 0.38/0.91 # Current number of archived clauses : 2788
% 0.38/0.91 # Clause-clause subsumption calls (NU) : 209777
% 0.38/0.91 # Rec. Clause-clause subsumption calls : 195346
% 0.38/0.91 # Non-unit clause-clause subsumptions : 112
% 0.38/0.91 # Unit Clause-clause subsumption calls : 83715
% 0.38/0.91 # Rewrite failures with RHS unbound : 0
% 0.38/0.91 # BW rewrite match attempts : 15231
% 0.38/0.91 # BW rewrite match successes : 2012
% 0.38/0.91 # Condensation attempts : 0
% 0.38/0.91 # Condensation successes : 0
% 0.38/0.91 # Termbank termtop insertions : 211789
% 0.38/0.91
% 0.38/0.91 # -------------------------------------------------
% 0.38/0.91 # User time : 0.347 s
% 0.38/0.91 # System time : 0.017 s
% 0.38/0.91 # Total time : 0.364 s
% 0.38/0.91 # Maximum resident set size: 2604 pages
% 0.38/0.91
% 0.38/0.91 # -------------------------------------------------
% 0.38/0.91 # User time : 0.352 s
% 0.38/0.91 # System time : 0.018 s
% 0.38/0.91 # Total time : 0.370 s
% 0.38/0.91 # Maximum resident set size: 1872 pages
% 0.38/0.91 % E---3.1 exiting
%------------------------------------------------------------------------------