%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO637+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:28:39 PM UTC 2026
% Result : Theorem 2.91s 0.97s
% Output : CNFRefutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 22
% Syntax : Number of formulae : 101 ( 27 unt; 0 def)
% Number of atoms : 223 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 197 ( 75 ~; 72 |; 27 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-6 aty)
% Number of variables : 348 ( 24 sgn 196 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL81109101,conjecture,
! [X1,X2,X3,X8,X14,X4,X5] :
( ( perp(X1,X8,X1,X5)
& perp(X3,X8,X3,X5)
& coll(X4,X1,X2)
& coll(X4,X8,X14)
& midp(X14,X3,X2)
& circle(X8,X1,X2,X3) )
=> cyclic(X1,X8,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109101) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X4)
& coll(X1,X2,X3) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X3,X4,X5,X6)
& cong(X1,X2,X3,X4) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X3,X4)
& midp(X7,X1,X2) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X17,X3,X4)
& midp(X7,X1,X2) )
=> ( para(X9,X17,X1,X3)
& para(X9,X7,X2,X4)
& midp(X9,X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( coll(X1,X2,X3)
& cong(X1,X2,X1,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
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/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
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/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(c_0_22,negated_conjecture,
~ ! [X1,X2,X3,X8,X14,X4,X5] :
( ( perp(X1,X8,X1,X5)
& perp(X3,X8,X3,X5)
& coll(X4,X1,X2)
& coll(X4,X8,X14)
& midp(X14,X3,X2)
& circle(X8,X1,X2,X3) )
=> cyclic(X1,X8,X5,X4) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL81109101]) ).
fof(c_0_23,plain,
! [X392,X393,X394] :
( coll(X392,X393,X394)
| ~ midp(X392,X393,X394) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).
fof(c_0_24,negated_conjecture,
( ~ cyclic(esk21_0,esk24_0,esk27_0,esk26_0)
& perp(esk21_0,esk24_0,esk21_0,esk27_0)
& perp(esk23_0,esk24_0,esk23_0,esk27_0)
& coll(esk26_0,esk21_0,esk22_0)
& coll(esk26_0,esk24_0,esk25_0)
& midp(esk25_0,esk23_0,esk22_0)
& circle(esk24_0,esk21_0,esk22_0,esk23_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).
fof(c_0_25,plain,
! [X63,X64,X65] :
( midp(X65,X63,X64)
| ~ midp(X65,X64,X63) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
fof(c_0_26,plain,
! [X22,X23,X24] :
( coll(X23,X22,X24)
| ~ coll(X22,X23,X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_27,plain,
( ~ midp(X1,X2,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,negated_conjecture,
midp(esk25_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_29,plain,
! [X389,X390,X391] :
( cong(X389,X390,X389,X391)
| ~ midp(X389,X390,X391) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_30,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_31,plain,
! [X19,X20,X21] :
( coll(X19,X21,X20)
| ~ coll(X19,X20,X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_32,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,negated_conjecture,
coll(esk25_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_34,plain,
! [X136,X137,X138,X139] :
( cong(X136,X137,X139,X138)
| ~ cong(X136,X137,X138,X139) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).
cnf(c_0_35,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
midp(esk25_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_30,c_0_28]) ).
fof(c_0_37,plain,
! [X25,X26,X27,X28] :
( coll(X27,X28,X25)
| ~ coll(X25,X26,X28)
| ~ coll(X25,X26,X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_38,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,negated_conjecture,
coll(esk23_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_40,plain,
! [X144,X145,X146,X147,X148,X149] :
( cong(X144,X145,X148,X149)
| ~ cong(X146,X147,X148,X149)
| ~ cong(X144,X145,X146,X147) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).
fof(c_0_41,plain,
! [X140,X141,X142,X143] :
( cong(X142,X143,X140,X141)
| ~ cong(X140,X141,X142,X143) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).
cnf(c_0_42,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,negated_conjecture,
cong(esk25_0,esk22_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,negated_conjecture,
coll(esk23_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,plain,
( ~ cong(X3,X4,X5,X6)
| ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,negated_conjecture,
cong(esk25_0,esk22_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,negated_conjecture,
( ~ coll(esk23_0,esk22_0,X1)
| coll(X1,esk25_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
fof(c_0_50,plain,
! [X368,X369,X370,X371,X372] :
( para(X368,X370,X369,X371)
| ~ midp(X372,X370,X371)
| ~ midp(X372,X368,X369) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])]) ).
fof(c_0_51,plain,
! [X459,X460,X461,X462,X463,X464] :
( ( ~ midp(X464,X461,X462)
| ~ midp(X463,X459,X460)
| para(esk6_6(X459,X460,X461,X462,X463,X464),X464,X459,X461) )
& ( ~ midp(X464,X461,X462)
| ~ midp(X463,X459,X460)
| para(esk6_6(X459,X460,X461,X462,X463,X464),X463,X460,X462) )
& ( ~ midp(X464,X461,X462)
| ~ midp(X463,X459,X460)
| midp(esk6_6(X459,X460,X461,X462,X463,X464),X459,X462) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])])]) ).
cnf(c_0_52,negated_conjecture,
( ~ cong(X1,X2,esk25_0,esk22_0)
| cong(X1,X2,esk25_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_43]) ).
cnf(c_0_53,negated_conjecture,
cong(esk23_0,esk25_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,negated_conjecture,
coll(esk25_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_49,c_0_45]) ).
cnf(c_0_55,plain,
( ~ midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| para(X2,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,plain,
( ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2)
| midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_57,plain,
! [X386,X387,X388] :
( midp(X386,X387,X388)
| ~ coll(X386,X387,X388)
| ~ cong(X386,X387,X386,X388) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).
cnf(c_0_58,negated_conjecture,
cong(esk23_0,esk25_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,negated_conjecture,
coll(esk25_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_38,c_0_54]) ).
fof(c_0_60,plain,
! [X100,X101,X102,X103,X104,X105,X106,X107] :
( eqangle(X102,X103,X100,X101,X106,X107,X104,X105)
| ~ eqangle(X100,X101,X102,X103,X104,X105,X106,X107) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_61,plain,
! [X254,X255,X256,X257,X258,X259] :
( eqangle(X254,X255,X258,X259,X256,X257,X258,X259)
| ~ para(X254,X255,X256,X257) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
cnf(c_0_62,plain,
( ~ midp(X7,X2,X5)
| ~ midp(X8,X6,X4)
| ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
| para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_63,plain,
( ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_64,negated_conjecture,
cong(esk23_0,esk25_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_42,c_0_58]) ).
cnf(c_0_65,negated_conjecture,
coll(esk23_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_32,c_0_59]) ).
fof(c_0_66,plain,
! [X248,X249,X250,X251,X252,X253] :
( para(X248,X249,X250,X251)
| ~ eqangle(X248,X249,X252,X253,X250,X251,X252,X253) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_67,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_60]) ).
cnf(c_0_68,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_69,plain,
( ~ midp(X5,X1,X6)
| ~ midp(X3,X4,X2)
| para(X1,X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_56]) ).
cnf(c_0_70,negated_conjecture,
midp(esk23_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).
cnf(c_0_71,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_72,plain,
( ~ para(X3,X4,X5,X6)
| eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_73,negated_conjecture,
( ~ midp(X2,X1,X3)
| para(X1,X1,esk25_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_74,plain,
! [X383,X384,X385] :
( coll(X383,X384,X385)
| ~ para(X383,X384,X383,X385) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_75,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_76,negated_conjecture,
para(esk25_0,esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_73,c_0_70]) ).
cnf(c_0_77,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_78,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_79,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_80,plain,
! [X268,X269,X270,X271] :
( cyclic(X268,X269,X270,X271)
| ~ coll(X270,X271,X269)
| ~ eqangle(X270,X268,X270,X269,X271,X268,X271,X269) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
cnf(c_0_81,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_32,c_0_79]) ).
cnf(c_0_82,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_80]) ).
cnf(c_0_83,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_38,c_0_81]) ).
fof(c_0_84,plain,
! [X79,X80,X81,X82] :
( cyclic(X79,X81,X80,X82)
| ~ cyclic(X79,X80,X81,X82) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).
cnf(c_0_85,plain,
( ~ coll(X3,X3,X2)
| ~ para(X3,X1,X3,X1)
| cyclic(X1,X2,X3,X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_68]) ).
cnf(c_0_86,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_83]),c_0_83])]) ).
fof(c_0_87,plain,
! [X75,X76,X77,X78] :
( cyclic(X75,X76,X78,X77)
| ~ cyclic(X75,X76,X77,X78) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).
cnf(c_0_88,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_89,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_78])]),c_0_86])]) ).
fof(c_0_90,plain,
! [X83,X84,X85,X86] :
( cyclic(X84,X83,X85,X86)
| ~ cyclic(X83,X84,X85,X86) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).
cnf(c_0_91,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_92,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
fof(c_0_93,plain,
! [X87,X88,X89,X90,X91] :
( cyclic(X88,X89,X90,X91)
| ~ cyclic(X87,X88,X89,X91)
| ~ cyclic(X87,X88,X89,X90) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_94,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_95,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_96,plain,
( ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_97,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_98,negated_conjecture,
~ cyclic(esk21_0,esk24_0,esk27_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_99,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_97])]) ).
cnf(c_0_100,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO637+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 18:17:39 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 2.91/0.97 % Version: 3.5.1
% 2.91/0.97 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.91/0.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.91/0.97 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.91/0.97 % Starting new_bool_3 with 300s (1) cores
% 2.91/0.97 % Starting new_bool_1 with 300s (1) cores
% 2.91/0.97 % Starting sh5l with 300s (1) cores
% 2.91/0.97 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3348447 completed with status 0
% 2.91/0.97 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.91/0.97 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.91/0.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.91/0.97 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.91/0.97 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.91/0.97 % No SInE strategy applied
% 2.91/0.97 % Search class: FGUSF-FFLM33-SFFFFFNN
% 2.91/0.97 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.91/0.97 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.91/0.97 % Starting SubtermCWHack with 136s (1) cores
% 2.91/0.97 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.91/0.97 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.91/0.97 % Starting new_bool_3 with 136s (1) cores
% 2.91/0.97 % Starting new_bool_1 with 136s (1) cores
% 2.91/0.97 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 3348456 completed with status 0
% 2.91/0.97 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 2.91/0.97 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.91/0.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.91/0.97 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.91/0.97 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.91/0.97 % No SInE strategy applied
% 2.91/0.97 % Search class: FGUSF-FFLM33-SFFFFFNN
% 2.91/0.97 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.91/0.97 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.91/0.97 % Starting SubtermCWHack with 136s (1) cores
% 2.91/0.97 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.91/0.97 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.91/0.97 % Preprocessing time : 0.003 s
% 2.91/0.97 % Presaturation interreduction done
% 2.91/0.97
% 2.91/0.97 % Proof found!
% 2.91/0.97 % SZS status Theorem
% 2.91/0.97 % SZS output start CNFRefutation
% See solution above
% 2.91/0.97 % Parsed axioms : 95
% 2.91/0.97 % Removed by relevancy pruning/SinE : 0
% 2.91/0.97 % Initial clauses : 120
% 2.91/0.97 % Removed in clause preprocessing : 0
% 2.91/0.97 % Initial clauses in saturation : 120
% 2.91/0.97 % Processed clauses : 2431
% 2.91/0.97 % ...of these trivial : 208
% 2.91/0.97 % ...subsumed : 182
% 2.91/0.97 % ...remaining for further processing : 2041
% 2.91/0.97 % Other redundant clauses eliminated : 0
% 2.91/0.97 % Clauses deleted for lack of memory : 0
% 2.91/0.97 % Backward-subsumed : 20
% 2.91/0.97 % Backward-rewritten : 1374
% 2.91/0.97 % Generated clauses : 12983
% 2.91/0.97 % ...of the previous two non-redundant : 8157
% 2.91/0.97 % ...aggressively subsumed : 0
% 2.91/0.97 % Contextual simplify-reflections : 3
% 2.91/0.97 % Paramodulations : 12983
% 2.91/0.97 % Factorizations : 0
% 2.91/0.97 % NegExts : 0
% 2.91/0.97 % Equation resolutions : 0
% 2.91/0.97 % Disequality decompositions : 0
% 2.91/0.97 % Total rewrite steps : 7007
% 2.91/0.97 % ...of those cached : 5068
% 2.91/0.97 % Propositional unsat checks : 0
% 2.91/0.97 % Propositional check models : 0
% 2.91/0.97 % Propositional check unsatisfiable : 0
% 2.91/0.97 % Propositional clauses : 0
% 2.91/0.97 % Propositional clauses after purity: 0
% 2.91/0.97 % Propositional unsat core size : 0
% 2.91/0.97 % Propositional preprocessing time : 0.000
% 2.91/0.97 % Propositional encoding time : 0.000
% 2.91/0.97 % Propositional solver time : 0.000
% 2.91/0.97 % Success case prop preproc time : 0.000
% 2.91/0.97 % Success case prop encoding time : 0.000
% 2.91/0.97 % Success case prop solver time : 0.000
% 2.91/0.97 % Current number of processed clauses : 528
% 2.91/0.97 % Positive orientable unit clauses : 206
% 2.91/0.97 % Positive unorientable unit clauses: 0
% 2.91/0.97 % Negative unit clauses : 0
% 2.91/0.97 % Non-unit-clauses : 322
% 2.91/0.97 % Current number of unprocessed clauses: 5875
% 2.91/0.97 % ...number of literals in the above : 17463
% 2.91/0.97 % Current number of archived formulas : 0
% 2.91/0.97 % Current number of archived clauses : 1513
% 2.91/0.97 % Clause-clause subsumption calls (NU) : 50784
% 2.91/0.97 % Rec. Clause-clause subsumption calls : 37093
% 2.91/0.97 % Non-unit clause-clause subsumptions : 196
% 2.91/0.97 % Unit Clause-clause subsumption calls : 26469
% 2.91/0.97 % Rewrite failures with RHS unbound : 0
% 2.91/0.97 % BW rewrite match attempts : 7140
% 2.91/0.97 % BW rewrite match successes : 1090
% 2.91/0.97 % Condensation attempts : 0
% 2.91/0.97 % Condensation successes : 0
% 2.91/0.97 % Termbank termtop insertions : 158634
% 2.91/0.97 % Search garbage collected termcells : 2810
% 2.91/0.97
% 2.91/0.97 % -------------------------------------------------
% 2.91/0.97 % User time : 0.262 s
% 2.91/0.97 % System time : 0.016 s
% 2.91/0.97 % Total time : 0.278 s
% 2.91/0.97 % Maximum resident set size: 4252 pages
% 2.91/0.97
% 2.91/0.97 % -------------------------------------------------
% 2.91/0.97 % User time : 1.628 s
% 2.91/0.97 % System time : 0.089 s
% 2.91/0.97 % Total time : 1.717 s
% 2.91/0.97 % Maximum resident set size: 4608 pages
% 2.91/0.97 % E exiting
%------------------------------------------------------------------------------