TSTP Solution File: GEO654+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO654+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 17:33:17 EDT 2023
% Result : Theorem 2.87s 0.84s
% Output : CNFRefutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 26
% Syntax : Number of formulae : 123 ( 32 unt; 0 def)
% Number of atoms : 283 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 256 ( 96 ~; 93 |; 40 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 17 con; 0-0 aty)
% Number of variables : 462 ( 31 sgn; 260 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE0228,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( ( circle(X1,X2,X19,X20)
& circle(X3,X2,X21,X22)
& circle(X1,X2,X4,X23)
& circle(X3,X2,X4,X24)
& circle(X3,X2,X5,X25)
& coll(X4,X5,X6)
& circle(X1,X4,X6,X26)
& coll(X2,X5,X13)
& circle(X1,X2,X13,X27)
& perp(X3,X5,X5,X14) )
=> para(X14,X5,X13,X6) ),
file('/export/starexec/sandbox/tmp/tmp.ejWnVPNV4J/E---3.1_28091.p',exemplo6GDDFULLmoreE0228) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.ejWnVPNV4J/E---3.1_28091.p',ruleD8) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.ejWnVPNV4J/E---3.1_28091.p',ruleD7) ).
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.ejWnVPNV4J/E---3.1_28091.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.ejWnVPNV4J/E---3.1_28091.p',ruleD40) ).
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.ejWnVPNV4J/E---3.1_28091.p',ruleD9) ).
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.ejWnVPNV4J/E---3.1_28091.p',ruleD39) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.ejWnVPNV4J/E---3.1_28091.p',ruleD5) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.ejWnVPNV4J/E---3.1_28091.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.ejWnVPNV4J/E---3.1_28091.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.ejWnVPNV4J/E---3.1_28091.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.ejWnVPNV4J/E---3.1_28091.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.ejWnVPNV4J/E---3.1_28091.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.ejWnVPNV4J/E---3.1_28091.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.ejWnVPNV4J/E---3.1_28091.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.ejWnVPNV4J/E---3.1_28091.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.ejWnVPNV4J/E---3.1_28091.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.ejWnVPNV4J/E---3.1_28091.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/sandbox/tmp/tmp.ejWnVPNV4J/E---3.1_28091.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/sandbox/tmp/tmp.ejWnVPNV4J/E---3.1_28091.p',ruleD45) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.ejWnVPNV4J/E---3.1_28091.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/sandbox/tmp/tmp.ejWnVPNV4J/E---3.1_28091.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/sandbox/tmp/tmp.ejWnVPNV4J/E---3.1_28091.p',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.ejWnVPNV4J/E---3.1_28091.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/sandbox/tmp/tmp.ejWnVPNV4J/E---3.1_28091.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/sandbox/tmp/tmp.ejWnVPNV4J/E---3.1_28091.p',ruleD44) ).
fof(c_0_26,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( ( circle(X1,X2,X19,X20)
& circle(X3,X2,X21,X22)
& circle(X1,X2,X4,X23)
& circle(X3,X2,X4,X24)
& circle(X3,X2,X5,X25)
& coll(X4,X5,X6)
& circle(X1,X4,X6,X26)
& coll(X2,X5,X13)
& circle(X1,X2,X13,X27)
& perp(X3,X5,X5,X14) )
=> para(X14,X5,X13,X6) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0228]) ).
fof(c_0_27,plain,
! [X153,X154,X155,X156] :
( ~ perp(X153,X154,X155,X156)
| perp(X155,X156,X153,X154) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_28,negated_conjecture,
( circle(esk1_0,esk2_0,esk9_0,esk10_0)
& circle(esk3_0,esk2_0,esk11_0,esk12_0)
& circle(esk1_0,esk2_0,esk4_0,esk13_0)
& circle(esk3_0,esk2_0,esk4_0,esk14_0)
& circle(esk3_0,esk2_0,esk5_0,esk15_0)
& coll(esk4_0,esk5_0,esk6_0)
& circle(esk1_0,esk4_0,esk6_0,esk16_0)
& coll(esk2_0,esk5_0,esk7_0)
& circle(esk1_0,esk2_0,esk7_0,esk17_0)
& perp(esk3_0,esk5_0,esk5_0,esk8_0)
& ~ para(esk8_0,esk5_0,esk7_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_29,plain,
! [X149,X150,X151,X152] :
( ~ perp(X149,X150,X151,X152)
| perp(X149,X150,X152,X151) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_30,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,negated_conjecture,
perp(esk3_0,esk5_0,esk5_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,negated_conjecture,
perp(esk5_0,esk8_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
perp(esk5_0,esk8_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_35,plain,
! [X306,X307,X308,X309,X310,X311,X312,X313] :
( ~ eqangle(X306,X307,X308,X309,X310,X311,X312,X313)
| eqangle(X308,X309,X306,X307,X312,X313,X310,X311) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_36,plain,
! [X77,X78,X79,X80,X81,X82] :
( ~ para(X77,X78,X79,X80)
| eqangle(X77,X78,X81,X82,X79,X80,X81,X82) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_37,plain,
! [X59,X60,X61,X62,X63,X64] :
( ~ perp(X59,X60,X61,X62)
| ~ perp(X61,X62,X63,X64)
| para(X59,X60,X63,X64) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_38,negated_conjecture,
perp(esk5_0,esk3_0,esk5_0,esk8_0),
inference(spm,[status(thm)],[c_0_30,c_0_34]) ).
fof(c_0_39,plain,
! [X71,X72,X73,X74,X75,X76] :
( ~ eqangle(X71,X72,X75,X76,X73,X74,X75,X76)
| para(X71,X72,X73,X74) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_40,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_35]) ).
cnf(c_0_41,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_42,plain,
! [X49,X50,X51,X52] :
( ~ para(X49,X50,X51,X52)
| para(X51,X52,X49,X50) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_43,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,negated_conjecture,
perp(esk5_0,esk3_0,esk8_0,esk5_0),
inference(spm,[status(thm)],[c_0_32,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
perp(esk3_0,esk5_0,esk8_0,esk5_0),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_46,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( para(X1,X2,esk8_0,esk5_0)
| ~ perp(X1,X2,esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,negated_conjecture,
perp(esk8_0,esk5_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_30,c_0_45]) ).
fof(c_0_51,plain,
! [X103,X104,X105] :
( ~ para(X103,X104,X103,X105)
| coll(X103,X104,X105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_52,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( para(esk8_0,esk5_0,X1,X2)
| ~ perp(X1,X2,esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
perp(esk8_0,esk5_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_32,c_0_50]) ).
fof(c_0_55,plain,
! [X269,X270,X271] :
( ~ coll(X269,X270,X271)
| coll(X270,X269,X271) ),
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_51]) ).
cnf(c_0_57,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).
fof(c_0_58,plain,
! [X266,X267,X268] :
( ~ coll(X266,X267,X268)
| coll(X266,X268,X267) ),
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,
! [X395,X396,X397,X398] :
( ~ eqangle(X397,X395,X397,X396,X398,X395,X398,X396)
| ~ coll(X397,X398,X396)
| cyclic(X395,X396,X397,X398) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_62,plain,
! [X272,X273,X274,X275] :
( ~ coll(X272,X273,X274)
| ~ coll(X272,X273,X275)
| coll(X274,X275,X272) ),
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,
! [X374,X375,X376,X377] :
( ~ cyclic(X374,X375,X376,X377)
| cyclic(X374,X376,X375,X377) ),
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_41]) ).
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,
! [X370,X371,X372,X373] :
( ~ cyclic(X370,X371,X372,X373)
| cyclic(X370,X371,X373,X372) ),
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,
! [X233,X234,X235,X236,X237] :
( ~ circle(X236,X233,X234,X235)
| ~ coll(X237,X234,X235)
| ~ eqangle(X233,X234,X233,X235,X236,X234,X236,X237)
| midp(X237,X234,X235) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_75,plain,
! [X387,X388,X389,X390] :
( ~ cyclic(X387,X388,X389,X390)
| eqangle(X389,X387,X389,X388,X390,X387,X390,X388) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_76,plain,
! [X378,X379,X380,X381] :
( ~ cyclic(X378,X379,X380,X381)
| cyclic(X379,X378,X380,X381) ),
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]) ).
cnf(c_0_79,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_80,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_81,plain,
! [X382,X383,X384,X385,X386] :
( ~ cyclic(X382,X383,X384,X385)
| ~ cyclic(X382,X383,X384,X386)
| cyclic(X383,X384,X385,X386) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_82,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_83,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_84,plain,
! [X88,X89,X90,X91,X92] :
( ~ midp(X91,X88,X89)
| ~ para(X91,X92,X89,X90)
| ~ coll(X92,X88,X90)
| midp(X92,X88,X90) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_85,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_79,c_0_80]) ).
cnf(c_0_86,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_87,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_88,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_84]) ).
cnf(c_0_89,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_85,c_0_64])]) ).
cnf(c_0_90,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_87])]) ).
cnf(c_0_91,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_70])]) ).
cnf(c_0_92,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]) ).
cnf(c_0_93,negated_conjecture,
circle(esk1_0,esk2_0,esk7_0,esk17_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_94,plain,
! [X345,X346,X347] :
( ~ midp(X347,X346,X345)
| midp(X347,X345,X346) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_95,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_91,c_0_57]) ).
cnf(c_0_96,negated_conjecture,
midp(esk17_0,esk7_0,esk17_0),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
fof(c_0_97,plain,
! [X114,X115,X116,X117,X118,X119,X120,X121] :
( ~ eqangle(X114,X115,X116,X117,X118,X119,X120,X121)
| ~ para(X118,X119,X120,X121)
| para(X114,X115,X116,X117) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_98,plain,
! [X342,X343,X344] :
( ~ cong(X344,X342,X344,X343)
| eqangle(X344,X342,X342,X343,X342,X343,X344,X343) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_99,plain,
! [X348,X349,X350] :
( ~ midp(X348,X349,X350)
| cong(X348,X349,X348,X350) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_100,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_101,negated_conjecture,
midp(X1,esk7_0,X1),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,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_103,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_104,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_105,negated_conjecture,
midp(X1,X1,esk7_0),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,negated_conjecture,
cong(X1,X1,X1,esk7_0),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
fof(c_0_108,plain,
! [X98,X99,X100,X101,X102] :
( ~ midp(X102,X98,X99)
| ~ para(X98,X100,X99,X101)
| ~ para(X98,X101,X99,X100)
| midp(X102,X100,X101) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_109,negated_conjecture,
para(X1,X1,X1,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_57])]) ).
cnf(c_0_110,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_108]) ).
cnf(c_0_111,negated_conjecture,
( midp(X1,X2,esk7_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_57]),c_0_57])]) ).
cnf(c_0_113,negated_conjecture,
midp(X1,esk7_0,esk7_0),
inference(spm,[status(thm)],[c_0_111,c_0_101]) ).
cnf(c_0_114,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_115,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_95,c_0_114]) ).
fof(c_0_116,plain,
! [X83,X84,X85,X86,X87] :
( ~ midp(X86,X83,X84)
| ~ midp(X87,X83,X85)
| para(X86,X87,X84,X85) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_117,negated_conjecture,
midp(X1,X2,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_115])]) ).
cnf(c_0_118,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_119,negated_conjecture,
midp(X1,esk7_0,X2),
inference(spm,[status(thm)],[c_0_100,c_0_117]) ).
cnf(c_0_120,negated_conjecture,
~ para(esk8_0,esk5_0,esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_121,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_119])]) ).
cnf(c_0_122,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO654+1 : TPTP v8.1.2. Released v7.5.0.
% 0.04/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Oct 3 06:28:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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.ejWnVPNV4J/E---3.1_28091.p
% 2.87/0.84 # Version: 3.1pre001
% 2.87/0.84 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.87/0.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.87/0.84 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.87/0.84 # Starting new_bool_3 with 300s (1) cores
% 2.87/0.84 # Starting new_bool_1 with 300s (1) cores
% 2.87/0.84 # Starting sh5l with 300s (1) cores
% 2.87/0.84 # new_bool_3 with pid 28190 completed with status 0
% 2.87/0.84 # Result found by new_bool_3
% 2.87/0.84 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.87/0.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.87/0.84 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.87/0.84 # Starting new_bool_3 with 300s (1) cores
% 2.87/0.84 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.87/0.84 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.87/0.84 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.87/0.84 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.87/0.84 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.87/0.84 # SAT001_MinMin_p005000_rr_RG with pid 28200 completed with status 0
% 2.87/0.84 # Result found by SAT001_MinMin_p005000_rr_RG
% 2.87/0.84 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.87/0.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.87/0.84 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.87/0.84 # Starting new_bool_3 with 300s (1) cores
% 2.87/0.84 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.87/0.84 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.87/0.84 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.87/0.84 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.87/0.84 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.87/0.84 # Preprocessing time : 0.004 s
% 2.87/0.84 # Presaturation interreduction done
% 2.87/0.84
% 2.87/0.84 # Proof found!
% 2.87/0.84 # SZS status Theorem
% 2.87/0.84 # SZS output start CNFRefutation
% See solution above
% 2.87/0.84 # Parsed axioms : 95
% 2.87/0.84 # Removed by relevancy pruning/SinE : 21
% 2.87/0.84 # Initial clauses : 103
% 2.87/0.84 # Removed in clause preprocessing : 0
% 2.87/0.84 # Initial clauses in saturation : 103
% 2.87/0.84 # Processed clauses : 3729
% 2.87/0.84 # ...of these trivial : 567
% 2.87/0.84 # ...subsumed : 208
% 2.87/0.84 # ...remaining for further processing : 2954
% 2.87/0.84 # Other redundant clauses eliminated : 0
% 2.87/0.84 # Clauses deleted for lack of memory : 0
% 2.87/0.84 # Backward-subsumed : 21
% 2.87/0.84 # Backward-rewritten : 2615
% 2.87/0.84 # Generated clauses : 20976
% 2.87/0.84 # ...of the previous two non-redundant : 11669
% 2.87/0.84 # ...aggressively subsumed : 0
% 2.87/0.84 # Contextual simplify-reflections : 42
% 2.87/0.84 # Paramodulations : 20976
% 2.87/0.84 # Factorizations : 0
% 2.87/0.84 # NegExts : 0
% 2.87/0.84 # Equation resolutions : 0
% 2.87/0.84 # Total rewrite steps : 13550
% 2.87/0.84 # Propositional unsat checks : 0
% 2.87/0.84 # Propositional check models : 0
% 2.87/0.84 # Propositional check unsatisfiable : 0
% 2.87/0.84 # Propositional clauses : 0
% 2.87/0.84 # Propositional clauses after purity: 0
% 2.87/0.84 # Propositional unsat core size : 0
% 2.87/0.84 # Propositional preprocessing time : 0.000
% 2.87/0.84 # Propositional encoding time : 0.000
% 2.87/0.84 # Propositional solver time : 0.000
% 2.87/0.84 # Success case prop preproc time : 0.000
% 2.87/0.84 # Success case prop encoding time : 0.000
% 2.87/0.84 # Success case prop solver time : 0.000
% 2.87/0.84 # Current number of processed clauses : 216
% 2.87/0.84 # Positive orientable unit clauses : 133
% 2.87/0.84 # Positive unorientable unit clauses: 0
% 2.87/0.84 # Negative unit clauses : 4
% 2.87/0.84 # Non-unit-clauses : 79
% 2.87/0.84 # Current number of unprocessed clauses: 8054
% 2.87/0.84 # ...number of literals in the above : 25260
% 2.87/0.84 # Current number of archived formulas : 0
% 2.87/0.84 # Current number of archived clauses : 2738
% 2.87/0.84 # Clause-clause subsumption calls (NU) : 159698
% 2.87/0.84 # Rec. Clause-clause subsumption calls : 154370
% 2.87/0.84 # Non-unit clause-clause subsumptions : 271
% 2.87/0.84 # Unit Clause-clause subsumption calls : 21822
% 2.87/0.84 # Rewrite failures with RHS unbound : 0
% 2.87/0.84 # BW rewrite match attempts : 15147
% 2.87/0.84 # BW rewrite match successes : 1884
% 2.87/0.84 # Condensation attempts : 0
% 2.87/0.84 # Condensation successes : 0
% 2.87/0.84 # Termbank termtop insertions : 239858
% 2.87/0.84
% 2.87/0.84 # -------------------------------------------------
% 2.87/0.84 # User time : 0.323 s
% 2.87/0.84 # System time : 0.015 s
% 2.87/0.84 # Total time : 0.338 s
% 2.87/0.84 # Maximum resident set size: 2364 pages
% 2.87/0.84
% 2.87/0.84 # -------------------------------------------------
% 2.87/0.84 # User time : 0.326 s
% 2.87/0.84 # System time : 0.018 s
% 2.87/0.84 # Total time : 0.344 s
% 2.87/0.84 # Maximum resident set size: 1876 pages
% 2.87/0.84 % E---3.1 exiting
% 2.87/0.84 % E---3.1 exiting
%------------------------------------------------------------------------------