%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO654+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:28:42 PM UTC 2026
% Result : Theorem 6.21s 1.25s
% Output : CNFRefutation 6.21s
% 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] :
( ( perp(X3,X5,X5,X14)
& circle(X1,X2,X13,X27)
& coll(X2,X5,X13)
& circle(X1,X4,X6,X26)
& coll(X4,X5,X6)
& circle(X3,X2,X5,X25)
& circle(X3,X2,X4,X24)
& circle(X1,X2,X4,X23)
& circle(X3,X2,X21,X22)
& circle(X1,X2,X19,X20) )
=> para(X14,X5,X13,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0228) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',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/benchmark/Axioms/GEO012+0.ax',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/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X3,X4,X5,X6)
& perp(X1,X2,X3,X4) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',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/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( coll(X9,X10,X2)
& eqangle(X9,X1,X9,X2,X10,X1,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X4)
& coll(X1,X2,X3) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(ruleD51,axiom,
! [X1,X2,X3,X8,X7] :
( ( eqangle(X1,X2,X1,X3,X8,X2,X8,X7)
& coll(X7,X2,X3)
& circle(X8,X1,X2,X3) )
=> midp(X7,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',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/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X5)
& cyclic(X1,X2,X3,X4) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( coll(X6,X1,X3)
& para(X5,X6,X2,X3)
& midp(X5,X1,X2) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( para(X9,X10,X11,X12)
& eqangle(X1,X2,X3,X4,X9,X10,X11,X12) )
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',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/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( para(X1,X4,X2,X3)
& para(X1,X3,X2,X4)
& midp(X7,X1,X2) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X6,X1,X3)
& midp(X5,X1,X2) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(c_0_26,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( ( perp(X3,X5,X5,X14)
& circle(X1,X2,X13,X27)
& coll(X2,X5,X13)
& circle(X1,X4,X6,X26)
& coll(X4,X5,X6)
& circle(X3,X2,X5,X25)
& circle(X3,X2,X4,X24)
& circle(X1,X2,X4,X23)
& circle(X3,X2,X21,X22)
& circle(X1,X2,X19,X20) )
=> para(X14,X5,X13,X6) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0228]) ).
fof(c_0_27,plain,
! [X56,X57,X58,X59] :
( perp(X58,X59,X56,X57)
| ~ perp(X56,X57,X58,X59) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
fof(c_0_28,negated_conjecture,
( ~ para(esk28_0,esk25_0,esk27_0,esk26_0)
& perp(esk23_0,esk25_0,esk25_0,esk28_0)
& circle(esk21_0,esk22_0,esk27_0,esk37_0)
& coll(esk22_0,esk25_0,esk27_0)
& circle(esk21_0,esk24_0,esk26_0,esk36_0)
& coll(esk24_0,esk25_0,esk26_0)
& circle(esk23_0,esk22_0,esk25_0,esk35_0)
& circle(esk23_0,esk22_0,esk24_0,esk34_0)
& circle(esk21_0,esk22_0,esk24_0,esk33_0)
& circle(esk23_0,esk22_0,esk31_0,esk32_0)
& circle(esk21_0,esk22_0,esk29_0,esk30_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_29,plain,
! [X52,X53,X54,X55] :
( perp(X52,X53,X55,X54)
| ~ perp(X52,X53,X54,X55) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])])]) ).
cnf(c_0_30,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,negated_conjecture,
perp(esk23_0,esk25_0,esk25_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,negated_conjecture,
perp(esk25_0,esk28_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
perp(esk25_0,esk28_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_35,plain,
! [X109,X110,X111,X112,X113,X114,X115,X116] :
( eqangle(X111,X112,X109,X110,X115,X116,X113,X114)
| ~ eqangle(X109,X110,X111,X112,X113,X114,X115,X116) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_36,plain,
! [X263,X264,X265,X266,X267,X268] :
( eqangle(X263,X264,X267,X268,X265,X266,X267,X268)
| ~ para(X263,X264,X265,X266) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
fof(c_0_37,plain,
! [X60,X61,X62,X63,X64,X65] :
( para(X60,X61,X64,X65)
| ~ perp(X62,X63,X64,X65)
| ~ perp(X60,X61,X62,X63) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
cnf(c_0_38,negated_conjecture,
perp(esk25_0,esk23_0,esk25_0,esk28_0),
inference(spm,[status(thm)],[c_0_30,c_0_34]) ).
fof(c_0_39,plain,
! [X257,X258,X259,X260,X261,X262] :
( para(X257,X258,X259,X260)
| ~ eqangle(X257,X258,X261,X262,X259,X260,X261,X262) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_40,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_42,plain,
! [X42,X43,X44,X45] :
( para(X44,X45,X42,X43)
| ~ para(X42,X43,X44,X45) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
cnf(c_0_43,plain,
( ~ perp(X3,X4,X5,X6)
| ~ perp(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,negated_conjecture,
perp(esk25_0,esk23_0,esk28_0,esk25_0),
inference(spm,[status(thm)],[c_0_32,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
perp(esk23_0,esk25_0,esk28_0,esk25_0),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_46,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
( ~ para(X3,X4,X5,X6)
| eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
( ~ para(X1,X2,X3,X4)
| para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( ~ perp(X1,X2,esk25_0,esk23_0)
| para(X1,X2,esk28_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,negated_conjecture,
perp(esk28_0,esk25_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_30,c_0_45]) ).
fof(c_0_51,plain,
! [X392,X393,X394] :
( coll(X392,X393,X394)
| ~ para(X392,X393,X392,X394) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_52,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( ~ perp(X1,X2,esk25_0,esk23_0)
| para(esk28_0,esk25_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
perp(esk28_0,esk25_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_32,c_0_50]) ).
fof(c_0_55,plain,
! [X31,X32,X33] :
( coll(X32,X31,X33)
| ~ coll(X31,X32,X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_56,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,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,
! [X28,X29,X30] :
( coll(X28,X30,X29)
| ~ coll(X28,X29,X30) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_59,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,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,
! [X277,X278,X279,X280] :
( cyclic(X277,X278,X279,X280)
| ~ coll(X279,X280,X278)
| ~ eqangle(X279,X277,X279,X278,X280,X277,X280,X278) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
fof(c_0_62,plain,
! [X34,X35,X36,X37] :
( coll(X36,X37,X34)
| ~ coll(X34,X35,X37)
| ~ coll(X34,X35,X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_63,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
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,
( ~ coll(X1,X4,X3)
| ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| cyclic(X2,X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_66,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
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,
! [X88,X89,X90,X91] :
( cyclic(X88,X90,X89,X91)
| ~ cyclic(X88,X89,X90,X91) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).
cnf(c_0_69,plain,
( ~ coll(X3,X3,X2)
| ~ para(X3,X1,X3,X1)
| cyclic(X1,X2,X3,X3) ),
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,
! [X84,X85,X86,X87] :
( cyclic(X84,X85,X87,X86)
| ~ cyclic(X84,X85,X86,X87) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).
cnf(c_0_72,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X3,X2,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,
! [X318,X319,X320,X321,X322] :
( midp(X322,X319,X320)
| ~ eqangle(X318,X319,X318,X320,X321,X319,X321,X322)
| ~ coll(X322,X319,X320)
| ~ circle(X321,X318,X319,X320) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])])]) ).
fof(c_0_75,plain,
! [X269,X270,X271,X272] :
( eqangle(X271,X269,X271,X270,X272,X269,X272,X270)
| ~ cyclic(X269,X270,X271,X272) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).
fof(c_0_76,plain,
! [X92,X93,X94,X95] :
( cyclic(X93,X92,X94,X95)
| ~ cyclic(X92,X93,X94,X95) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).
cnf(c_0_77,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X2,X4,X3) ),
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,
( ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5)
| ~ coll(X5,X3,X4)
| ~ circle(X1,X2,X3,X4)
| midp(X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_80,plain,
( ~ cyclic(X1,X2,X3,X4)
| eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
fof(c_0_81,plain,
! [X96,X97,X98,X99,X100] :
( cyclic(X97,X98,X99,X100)
| ~ cyclic(X96,X97,X98,X100)
| ~ cyclic(X96,X97,X98,X99) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_82,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X1,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,
! [X292,X293,X294,X295,X296] :
( midp(X296,X292,X294)
| ~ coll(X296,X292,X294)
| ~ para(X295,X296,X293,X294)
| ~ midp(X295,X292,X293) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_85,plain,
( ~ coll(X1,X2,X1)
| ~ circle(X4,X3,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_86,plain,
( ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X3,X4,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,
( ~ coll(X4,X2,X5)
| ~ para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_89,plain,
( ~ circle(X4,X3,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| midp(X1,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,
( ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_70])]) ).
cnf(c_0_92,plain,
( ~ circle(X3,X4,X2,X1)
| midp(X1,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]) ).
cnf(c_0_93,negated_conjecture,
circle(esk21_0,esk22_0,esk27_0,esk37_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_94,plain,
! [X72,X73,X74] :
( midp(X74,X72,X73)
| ~ midp(X74,X73,X72) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
cnf(c_0_95,negated_conjecture,
( ~ midp(X3,X2,X3)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_57]) ).
cnf(c_0_96,negated_conjecture,
midp(esk37_0,esk27_0,esk37_0),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
fof(c_0_97,plain,
! [X418,X419,X420,X421,X422,X423,X424,X425] :
( para(X418,X419,X420,X421)
| ~ para(X422,X423,X424,X425)
| ~ eqangle(X418,X419,X420,X421,X422,X423,X424,X425) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_98,plain,
! [X297,X298,X299] :
( eqangle(X299,X297,X297,X298,X297,X298,X299,X298)
| ~ cong(X299,X297,X299,X298) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
fof(c_0_99,plain,
! [X398,X399,X400] :
( cong(X398,X399,X398,X400)
| ~ midp(X398,X399,X400) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_100,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_101,negated_conjecture,
midp(X1,esk27_0,X1),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,plain,
( ~ para(X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_103,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_104,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_105,negated_conjecture,
midp(X1,X1,esk27_0),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,plain,
( ~ para(X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3)
| para(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,negated_conjecture,
cong(X1,X1,X1,esk27_0),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
fof(c_0_108,plain,
! [X382,X383,X384,X385,X386] :
( midp(X386,X384,X385)
| ~ para(X382,X385,X383,X384)
| ~ para(X382,X384,X383,X385)
| ~ midp(X386,X382,X383) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_109,negated_conjecture,
para(X1,X1,X1,esk27_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,
( ~ para(X2,X5,X3,X4)
| ~ para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_111,negated_conjecture,
( ~ midp(X1,X2,X1)
| midp(X1,X2,esk27_0) ),
inference(spm,[status(thm)],[c_0_91,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
( ~ midp(X1,X3,X3)
| midp(X1,X2,X2) ),
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,esk27_0,esk27_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,
! [X287,X288,X289,X290,X291] :
( para(X290,X291,X288,X289)
| ~ midp(X291,X287,X289)
| ~ midp(X290,X287,X288) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).
cnf(c_0_117,negated_conjecture,
midp(X1,X2,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_115])]) ).
cnf(c_0_118,plain,
( ~ midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| para(X1,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_119,negated_conjecture,
midp(X1,esk27_0,X2),
inference(spm,[status(thm)],[c_0_100,c_0_117]) ).
cnf(c_0_120,negated_conjecture,
~ para(esk28_0,esk25_0,esk27_0,esk26_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
% 0.00/0.03 % Problem : GEO654+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 18:31:55 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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/benchmark/theBenchmark.p
% 6.21/1.25 % Version: 3.5.1
% 6.21/1.25 % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.21/1.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.21/1.25 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.21/1.25 % Starting new_bool_3 with 300s (1) cores
% 6.21/1.25 % Starting new_bool_1 with 300s (1) cores
% 6.21/1.25 % Starting sh5l with 300s (1) cores
% 6.21/1.25 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3271056 completed with status 0
% 6.21/1.25 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 6.21/1.25 % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.21/1.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.21/1.25 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.21/1.25 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.21/1.25 % No SInE strategy applied
% 6.21/1.25 % Search class: FGUSF-FFLM33-SFFFFFNN
% 6.21/1.25 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 6.21/1.25 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.21/1.25 % Starting SubtermCWHack with 136s (1) cores
% 6.21/1.25 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.21/1.25 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 6.21/1.25 % Starting new_bool_3 with 136s (1) cores
% 6.21/1.25 % Starting new_bool_1 with 136s (1) cores
% 6.21/1.25 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 3271062 completed with status 0
% 6.21/1.25 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 6.21/1.25 % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.21/1.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.21/1.25 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.21/1.25 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.21/1.25 % No SInE strategy applied
% 6.21/1.25 % Search class: FGUSF-FFLM33-SFFFFFNN
% 6.21/1.25 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 6.21/1.25 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.21/1.25 % Starting SubtermCWHack with 136s (1) cores
% 6.21/1.25 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.21/1.25 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 6.21/1.25 % Preprocessing time : 0.005 s
% 6.21/1.25 % Presaturation interreduction done
% 6.21/1.25
% 6.21/1.25 % Proof found!
% 6.21/1.25 % SZS status Theorem
% 6.21/1.25 % SZS output start CNFRefutation
% See solution above
% 6.21/1.25 % Parsed axioms : 95
% 6.21/1.25 % Removed by relevancy pruning/SinE : 0
% 6.21/1.25 % Initial clauses : 124
% 6.21/1.25 % Removed in clause preprocessing : 0
% 6.21/1.25 % Initial clauses in saturation : 124
% 6.21/1.25 % Processed clauses : 3905
% 6.21/1.25 % ...of these trivial : 631
% 6.21/1.25 % ...subsumed : 221
% 6.21/1.25 % ...remaining for further processing : 3053
% 6.21/1.25 % Other redundant clauses eliminated : 0
% 6.21/1.25 % Clauses deleted for lack of memory : 0
% 6.21/1.25 % Backward-subsumed : 41
% 6.21/1.25 % Backward-rewritten : 2632
% 6.21/1.25 % Generated clauses : 21695
% 6.21/1.25 % ...of the previous two non-redundant : 12539
% 6.21/1.25 % ...aggressively subsumed : 0
% 6.21/1.25 % Contextual simplify-reflections : 37
% 6.21/1.25 % Paramodulations : 21695
% 6.21/1.25 % Factorizations : 0
% 6.21/1.25 % NegExts : 0
% 6.21/1.25 % Equation resolutions : 0
% 6.21/1.25 % Disequality decompositions : 0
% 6.21/1.25 % Total rewrite steps : 13436
% 6.21/1.25 % ...of those cached : 10061
% 6.21/1.25 % Propositional unsat checks : 0
% 6.21/1.25 % Propositional check models : 0
% 6.21/1.25 % Propositional check unsatisfiable : 0
% 6.21/1.25 % Propositional clauses : 0
% 6.21/1.25 % Propositional clauses after purity: 0
% 6.21/1.25 % Propositional unsat core size : 0
% 6.21/1.25 % Propositional preprocessing time : 0.000
% 6.21/1.25 % Propositional encoding time : 0.000
% 6.21/1.25 % Propositional solver time : 0.000
% 6.21/1.25 % Success case prop preproc time : 0.000
% 6.21/1.25 % Success case prop encoding time : 0.000
% 6.21/1.25 % Success case prop solver time : 0.000
% 6.21/1.25 % Current number of processed clauses : 257
% 6.21/1.25 % Positive orientable unit clauses : 166
% 6.21/1.25 % Positive unorientable unit clauses: 0
% 6.21/1.25 % Negative unit clauses : 4
% 6.21/1.25 % Non-unit-clauses : 87
% 6.21/1.25 % Current number of unprocessed clauses: 8735
% 6.21/1.25 % ...number of literals in the above : 27021
% 6.21/1.25 % Current number of archived formulas : 0
% 6.21/1.25 % Current number of archived clauses : 2796
% 6.21/1.25 % Clause-clause subsumption calls (NU) : 152587
% 6.21/1.25 % Rec. Clause-clause subsumption calls : 137930
% 6.21/1.25 % Non-unit clause-clause subsumptions : 299
% 6.21/1.25 % Unit Clause-clause subsumption calls : 112596
% 6.21/1.25 % Rewrite failures with RHS unbound : 0
% 6.21/1.25 % BW rewrite match attempts : 14972
% 6.21/1.25 % BW rewrite match successes : 1912
% 6.21/1.25 % Condensation attempts : 0
% 6.21/1.25 % Condensation successes : 0
% 6.21/1.25 % Termbank termtop insertions : 251241
% 6.21/1.25 % Search garbage collected termcells : 2885
% 6.21/1.25
% 6.21/1.25 % -------------------------------------------------
% 6.21/1.25 % User time : 0.762 s
% 6.21/1.25 % System time : 0.039 s
% 6.21/1.25 % Total time : 0.801 s
% 6.21/1.25 % Maximum resident set size: 4308 pages
% 6.21/1.25
% 6.21/1.25 % -------------------------------------------------
% 6.21/1.25 % User time : 3.858 s
% 6.21/1.25 % System time : 0.158 s
% 6.21/1.25 % Total time : 4.017 s
% 6.21/1.25 % Maximum resident set size: 5120 pages
% 6.21/1.25 % E exiting
%------------------------------------------------------------------------------