%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO640+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 : n006.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 7.70s 1.43s
% Output : CNFRefutation 7.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 77 ( 17 unt; 0 def)
% Number of atoms : 223 ( 0 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 199 ( 53 ~; 50 |; 77 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 31 ( 31 usr; 30 con; 0-4 aty)
% Number of variables : 343 ( 20 sgn 212 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
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(exemplo6GDDFULL81109106,conjecture,
! [X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
( ( circle(X33,X20,X38,X48)
& circle(X32,X23,X38,X47)
& circle(X32,X23,X37,X46)
& circle(X31,X21,X37,X45)
& circle(X31,X21,X36,X44)
& circle(X30,X19,X36,X43)
& circle(X30,X19,X35,X42)
& circle(X29,X22,X35,X41)
& circle(X33,X20,X34,X40)
& circle(X29,X22,X34,X39)
& circle(X33,X25,X20,X24)
& circle(X32,X25,X26,X23)
& circle(X31,X27,X26,X21)
& circle(X30,X28,X27,X19)
& circle(X29,X22,X24,X28)
& coll(X28,X21,X22)
& coll(X28,X19,X20)
& coll(X27,X19,X23)
& coll(X27,X21,X22)
& coll(X26,X19,X23)
& coll(X26,X20,X21)
& coll(X25,X22,X23)
& coll(X25,X20,X21)
& coll(X24,X22,X23)
& coll(X24,X19,X20) )
=> cyclic(X35,X36,X37,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL81109106) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox/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(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(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(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(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(c_0_18,plain,
! [X81,X82,X83,X84,X85,X86] :
( para(X81,X82,X85,X86)
| ~ perp(X83,X84,X85,X86)
| ~ perp(X81,X82,X83,X84) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
fof(c_0_19,plain,
! [X523,X524,X525,X526] :
( perp(esk12_4(X523,X524,X525,X526),X523,X523,X526)
| ~ circle(X526,X523,X524,X525) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])])]) ).
fof(c_0_20,plain,
! [X77,X78,X79,X80] :
( perp(X79,X80,X77,X78)
| ~ perp(X77,X78,X79,X80) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
cnf(c_0_21,plain,
( ~ perp(X3,X4,X5,X6)
| ~ perp(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( ~ circle(X1,X2,X3,X4)
| perp(esk12_4(X2,X3,X4,X1),X2,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_24,negated_conjecture,
~ ! [X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
( ( circle(X33,X20,X38,X48)
& circle(X32,X23,X38,X47)
& circle(X32,X23,X37,X46)
& circle(X31,X21,X37,X45)
& circle(X31,X21,X36,X44)
& circle(X30,X19,X36,X43)
& circle(X30,X19,X35,X42)
& circle(X29,X22,X35,X41)
& circle(X33,X20,X34,X40)
& circle(X29,X22,X34,X39)
& circle(X33,X25,X20,X24)
& circle(X32,X25,X26,X23)
& circle(X31,X27,X26,X21)
& circle(X30,X28,X27,X19)
& circle(X29,X22,X24,X28)
& coll(X28,X21,X22)
& coll(X28,X19,X20)
& coll(X27,X19,X23)
& coll(X27,X21,X22)
& coll(X26,X19,X23)
& coll(X26,X20,X21)
& coll(X25,X22,X23)
& coll(X25,X20,X21)
& coll(X24,X22,X23)
& coll(X24,X19,X20) )
=> cyclic(X35,X36,X37,X38) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL81109106]) ).
cnf(c_0_25,plain,
( ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3)
| ~ circle(X4,X3,X5,X6)
| para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
( ~ circle(X2,X1,X3,X4)
| perp(X1,X2,esk12_4(X1,X3,X4,X2),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
fof(c_0_27,negated_conjecture,
( ~ cyclic(esk37_0,esk38_0,esk39_0,esk40_0)
& circle(esk35_0,esk22_0,esk40_0,esk50_0)
& circle(esk34_0,esk25_0,esk40_0,esk49_0)
& circle(esk34_0,esk25_0,esk39_0,esk48_0)
& circle(esk33_0,esk23_0,esk39_0,esk47_0)
& circle(esk33_0,esk23_0,esk38_0,esk46_0)
& circle(esk32_0,esk21_0,esk38_0,esk45_0)
& circle(esk32_0,esk21_0,esk37_0,esk44_0)
& circle(esk31_0,esk24_0,esk37_0,esk43_0)
& circle(esk35_0,esk22_0,esk36_0,esk42_0)
& circle(esk31_0,esk24_0,esk36_0,esk41_0)
& circle(esk35_0,esk27_0,esk22_0,esk26_0)
& circle(esk34_0,esk27_0,esk28_0,esk25_0)
& circle(esk33_0,esk29_0,esk28_0,esk23_0)
& circle(esk32_0,esk30_0,esk29_0,esk21_0)
& circle(esk31_0,esk24_0,esk26_0,esk30_0)
& coll(esk30_0,esk23_0,esk24_0)
& coll(esk30_0,esk21_0,esk22_0)
& coll(esk29_0,esk21_0,esk25_0)
& coll(esk29_0,esk23_0,esk24_0)
& coll(esk28_0,esk21_0,esk25_0)
& coll(esk28_0,esk22_0,esk23_0)
& coll(esk27_0,esk24_0,esk25_0)
& coll(esk27_0,esk22_0,esk23_0)
& coll(esk26_0,esk24_0,esk25_0)
& coll(esk26_0,esk21_0,esk22_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
fof(c_0_28,plain,
! [X59,X60,X61,X62] :
( para(X59,X60,X62,X61)
| ~ para(X59,X60,X61,X62) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
cnf(c_0_29,plain,
( ~ circle(X2,X1,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
circle(esk35_0,esk27_0,esk22_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_31,plain,
! [X130,X131,X132,X133,X134,X135,X136,X137] :
( eqangle(X132,X133,X130,X131,X136,X137,X134,X135)
| ~ eqangle(X130,X131,X132,X133,X134,X135,X136,X137) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_32,plain,
! [X284,X285,X286,X287,X288,X289] :
( eqangle(X284,X285,X288,X289,X286,X287,X288,X289)
| ~ para(X284,X285,X286,X287) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
fof(c_0_33,plain,
! [X63,X64,X65,X66] :
( para(X65,X66,X63,X64)
| ~ para(X63,X64,X65,X66) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
cnf(c_0_34,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
para(esk27_0,esk35_0,esk27_0,esk35_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_36,plain,
! [X278,X279,X280,X281,X282,X283] :
( para(X278,X279,X280,X281)
| ~ eqangle(X278,X279,X282,X283,X280,X281,X282,X283) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_37,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_31]) ).
cnf(c_0_38,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( ~ para(X1,X2,X3,X4)
| para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,negated_conjecture,
para(esk27_0,esk35_0,esk35_0,esk27_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,plain,
( ~ para(X3,X4,X5,X6)
| eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
para(esk35_0,esk27_0,esk27_0,esk35_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_44,plain,
! [X413,X414,X415] :
( coll(X413,X414,X415)
| ~ para(X413,X414,X413,X415) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_45,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
para(esk35_0,esk27_0,esk35_0,esk27_0),
inference(spm,[status(thm)],[c_0_34,c_0_43]) ).
fof(c_0_47,plain,
! [X52,X53,X54] :
( coll(X53,X52,X54)
| ~ coll(X52,X53,X54) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_48,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_50,plain,
! [X49,X50,X51] :
( coll(X49,X51,X50)
| ~ coll(X49,X50,X51) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_51,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_53,plain,
! [X298,X299,X300,X301] :
( cyclic(X298,X299,X300,X301)
| ~ coll(X300,X301,X299)
| ~ eqangle(X300,X298,X300,X299,X301,X298,X301,X299) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
fof(c_0_54,plain,
! [X55,X56,X57,X58] :
( coll(X57,X58,X55)
| ~ coll(X55,X56,X58)
| ~ coll(X55,X56,X57) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_55,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,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_53]) ).
cnf(c_0_58,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_60,plain,
! [X109,X110,X111,X112] :
( cyclic(X109,X111,X110,X112)
| ~ cyclic(X109,X110,X111,X112) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).
cnf(c_0_61,plain,
( ~ coll(X3,X3,X2)
| ~ para(X3,X1,X3,X1)
| cyclic(X1,X2,X3,X3) ),
inference(spm,[status(thm)],[c_0_57,c_0_38]) ).
cnf(c_0_62,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_59])]) ).
fof(c_0_63,plain,
! [X105,X106,X107,X108] :
( cyclic(X105,X106,X108,X107)
| ~ cyclic(X105,X106,X107,X108) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).
cnf(c_0_64,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_49])]),c_0_62])]) ).
fof(c_0_66,plain,
! [X113,X114,X115,X116] :
( cyclic(X114,X113,X115,X116)
| ~ cyclic(X113,X114,X115,X116) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).
cnf(c_0_67,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_69,plain,
! [X117,X118,X119,X120,X121] :
( cyclic(X118,X119,X120,X121)
| ~ cyclic(X117,X118,X119,X121)
| ~ cyclic(X117,X118,X119,X120) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_70,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_72,plain,
( ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_73,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
~ cyclic(esk37_0,esk38_0,esk39_0,esk40_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_75,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_73])]) ).
cnf(c_0_76,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO640+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 18:14:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 7.70/1.43 % Version: 3.5.1
% 7.70/1.43 % Preprocessing class: FSLSSMSSSSSNFFN.
% 7.70/1.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.70/1.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.70/1.43 % Starting new_bool_3 with 300s (1) cores
% 7.70/1.43 % Starting new_bool_1 with 300s (1) cores
% 7.70/1.43 % Starting sh5l with 300s (1) cores
% 7.70/1.43 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1001909 completed with status 0
% 7.70/1.43 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 7.70/1.43 % Preprocessing class: FSLSSMSSSSSNFFN.
% 7.70/1.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.70/1.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.70/1.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.70/1.43 % No SInE strategy applied
% 7.70/1.43 % Search class: FGUSF-FFLM33-SFFFFFNN
% 7.70/1.43 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 7.70/1.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 7.70/1.43 % Starting SubtermCWHack with 136s (1) cores
% 7.70/1.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 7.70/1.43 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 7.70/1.43 % Starting new_bool_3 with 136s (1) cores
% 7.70/1.43 % Starting new_bool_1 with 136s (1) cores
% 7.70/1.43 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 1001915 completed with status 0
% 7.70/1.43 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 7.70/1.43 % Preprocessing class: FSLSSMSSSSSNFFN.
% 7.70/1.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.70/1.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.70/1.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.70/1.43 % No SInE strategy applied
% 7.70/1.43 % Search class: FGUSF-FFLM33-SFFFFFNN
% 7.70/1.43 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 7.70/1.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 7.70/1.43 % Starting SubtermCWHack with 136s (1) cores
% 7.70/1.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 7.70/1.43 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 7.70/1.43 % Preprocessing time : 0.004 s
% 7.70/1.43 % Presaturation interreduction done
% 7.70/1.43
% 7.70/1.43 % Proof found!
% 7.70/1.43 % SZS status Theorem
% 7.70/1.43 % SZS output start CNFRefutation
% See solution above
% 7.70/1.44 % Parsed axioms : 95
% 7.70/1.44 % Removed by relevancy pruning/SinE : 0
% 7.70/1.44 % Initial clauses : 139
% 7.70/1.44 % Removed in clause preprocessing : 0
% 7.70/1.44 % Initial clauses in saturation : 139
% 7.70/1.44 % Processed clauses : 6038
% 7.70/1.44 % ...of these trivial : 992
% 7.70/1.44 % ...subsumed : 309
% 7.70/1.44 % ...remaining for further processing : 4737
% 7.70/1.44 % Other redundant clauses eliminated : 0
% 7.70/1.44 % Clauses deleted for lack of memory : 0
% 7.70/1.44 % Backward-subsumed : 1
% 7.70/1.44 % Backward-rewritten : 4354
% 7.70/1.44 % Generated clauses : 42693
% 7.70/1.44 % ...of the previous two non-redundant : 23928
% 7.70/1.44 % ...aggressively subsumed : 0
% 7.70/1.44 % Contextual simplify-reflections : 2
% 7.70/1.44 % Paramodulations : 42693
% 7.70/1.44 % Factorizations : 0
% 7.70/1.44 % NegExts : 0
% 7.70/1.44 % Equation resolutions : 0
% 7.70/1.44 % Disequality decompositions : 0
% 7.70/1.44 % Total rewrite steps : 25578
% 7.70/1.44 % ...of those cached : 19598
% 7.70/1.44 % Propositional unsat checks : 0
% 7.70/1.44 % Propositional check models : 0
% 7.70/1.44 % Propositional check unsatisfiable : 0
% 7.70/1.44 % Propositional clauses : 0
% 7.70/1.44 % Propositional clauses after purity: 0
% 7.70/1.44 % Propositional unsat core size : 0
% 7.70/1.44 % Propositional preprocessing time : 0.000
% 7.70/1.44 % Propositional encoding time : 0.000
% 7.70/1.44 % Propositional solver time : 0.000
% 7.70/1.44 % Success case prop preproc time : 0.000
% 7.70/1.44 % Success case prop encoding time : 0.000
% 7.70/1.44 % Success case prop solver time : 0.000
% 7.70/1.44 % Current number of processed clauses : 244
% 7.70/1.44 % Positive orientable unit clauses : 66
% 7.70/1.44 % Positive unorientable unit clauses: 0
% 7.70/1.44 % Negative unit clauses : 0
% 7.70/1.44 % Non-unit-clauses : 178
% 7.70/1.44 % Current number of unprocessed clauses: 17835
% 7.70/1.44 % ...number of literals in the above : 63087
% 7.70/1.44 % Current number of archived formulas : 0
% 7.70/1.44 % Current number of archived clauses : 4493
% 7.70/1.44 % Clause-clause subsumption calls (NU) : 228342
% 7.70/1.44 % Rec. Clause-clause subsumption calls : 169004
% 7.70/1.44 % Non-unit clause-clause subsumptions : 312
% 7.70/1.44 % Unit Clause-clause subsumption calls : 759532
% 7.70/1.44 % Rewrite failures with RHS unbound : 0
% 7.70/1.44 % BW rewrite match attempts : 29600
% 7.70/1.44 % BW rewrite match successes : 3299
% 7.70/1.44 % Condensation attempts : 0
% 7.70/1.44 % Condensation successes : 0
% 7.70/1.44 % Termbank termtop insertions : 459308
% 7.70/1.44 % Search garbage collected termcells : 3100
% 7.70/1.44
% 7.70/1.44 % -------------------------------------------------
% 7.70/1.44 % User time : 0.955 s
% 7.70/1.44 % System time : 0.028 s
% 7.70/1.44 % Total time : 0.984 s
% 7.70/1.44 % Maximum resident set size: 4324 pages
% 7.70/1.44
% 7.70/1.44 % -------------------------------------------------
% 7.70/1.44 % User time : 4.684 s
% 7.70/1.44 % System time : 0.135 s
% 7.70/1.44 % Total time : 4.819 s
% 7.70/1.44 % Maximum resident set size: 5120 pages
% 7.70/1.44 % E exiting
%------------------------------------------------------------------------------