%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO591+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 : n001.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 12:28:32 PM UTC 2026
% Result : Theorem 3.98s 1.09s
% Output : CNFRefutation 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 26
% Syntax : Number of formulae : 121 ( 29 unt; 0 def)
% Number of atoms : 273 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 249 ( 97 ~; 94 |; 31 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 457 ( 40 sgn 244 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416053,conjecture,
! [X8,X1,X2,X3,X5,X4,X19,X20,X21] :
( ( coll(X4,X3,X5)
& perp(X8,X3,X3,X5)
& coll(X3,X1,X2)
& perp(X8,X1,X1,X4)
& perp(X8,X2,X2,X5)
& circle(X8,X1,X2,X21)
& circle(X8,X1,X19,X20) )
=> cong(X8,X5,X8,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416053) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/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/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(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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
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(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(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(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(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/sandbox2/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/sandbox2/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/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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
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(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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
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(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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(c_0_26,negated_conjecture,
~ ! [X8,X1,X2,X3,X5,X4,X19,X20,X21] :
( ( coll(X4,X3,X5)
& perp(X8,X3,X3,X5)
& coll(X3,X1,X2)
& perp(X8,X1,X1,X4)
& perp(X8,X2,X2,X5)
& circle(X8,X1,X2,X21)
& circle(X8,X1,X19,X20) )
=> cong(X8,X5,X8,X4) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416053]) ).
fof(c_0_27,plain,
! [X46,X47,X48,X49] :
( perp(X46,X47,X49,X48)
| ~ perp(X46,X47,X48,X49) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])])]) ).
fof(c_0_28,negated_conjecture,
( ~ cong(esk21_0,esk25_0,esk21_0,esk26_0)
& coll(esk26_0,esk24_0,esk25_0)
& perp(esk21_0,esk24_0,esk24_0,esk25_0)
& coll(esk24_0,esk22_0,esk23_0)
& perp(esk21_0,esk22_0,esk22_0,esk26_0)
& perp(esk21_0,esk23_0,esk23_0,esk25_0)
& circle(esk21_0,esk22_0,esk23_0,esk29_0)
& circle(esk21_0,esk22_0,esk27_0,esk28_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,
! [X103,X104,X105,X106,X107,X108,X109,X110] :
( eqangle(X105,X106,X103,X104,X109,X110,X107,X108)
| ~ eqangle(X103,X104,X105,X106,X107,X108,X109,X110) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_30,plain,
! [X257,X258,X259,X260,X261,X262] :
( eqangle(X257,X258,X261,X262,X259,X260,X261,X262)
| ~ para(X257,X258,X259,X260) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
fof(c_0_31,plain,
! [X54,X55,X56,X57,X58,X59] :
( para(X54,X55,X58,X59)
| ~ perp(X56,X57,X58,X59)
| ~ perp(X54,X55,X56,X57) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
cnf(c_0_32,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
perp(esk21_0,esk22_0,esk22_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_34,plain,
! [X251,X252,X253,X254,X255,X256] :
( para(X251,X252,X253,X254)
| ~ eqangle(X251,X252,X255,X256,X253,X254,X255,X256) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_35,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_29]) ).
cnf(c_0_36,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_37,plain,
! [X36,X37,X38,X39] :
( para(X38,X39,X36,X37)
| ~ para(X36,X37,X38,X39) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
cnf(c_0_38,plain,
( ~ perp(X3,X4,X5,X6)
| ~ perp(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,negated_conjecture,
perp(esk21_0,esk22_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_40,plain,
! [X50,X51,X52,X53] :
( perp(X52,X53,X50,X51)
| ~ perp(X50,X51,X52,X53) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
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_34]) ).
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_35,c_0_36]) ).
cnf(c_0_43,plain,
( ~ para(X1,X2,X3,X4)
| para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,negated_conjecture,
( ~ perp(X1,X2,esk21_0,esk22_0)
| para(X1,X2,esk26_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_46,plain,
! [X386,X387,X388] :
( coll(X386,X387,X388)
| ~ para(X386,X387,X386,X388) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_47,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( ~ perp(X1,X2,esk21_0,esk22_0)
| para(esk26_0,esk22_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
perp(esk26_0,esk22_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_45,c_0_39]) ).
fof(c_0_50,plain,
! [X25,X26,X27] :
( coll(X26,X25,X27)
| ~ coll(X25,X26,X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_51,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).
fof(c_0_53,plain,
! [X22,X23,X24] :
( coll(X22,X24,X23)
| ~ coll(X22,X23,X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_54,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_55,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_56,plain,
! [X271,X272,X273,X274] :
( cyclic(X271,X272,X273,X274)
| ~ coll(X273,X274,X272)
| ~ eqangle(X273,X271,X273,X272,X274,X271,X274,X272) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
fof(c_0_57,plain,
! [X28,X29,X30,X31] :
( coll(X30,X31,X28)
| ~ coll(X28,X29,X31)
| ~ coll(X28,X29,X30) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_58,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,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_56]) ).
cnf(c_0_61,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_63,plain,
! [X82,X83,X84,X85] :
( cyclic(X82,X84,X83,X85)
| ~ cyclic(X82,X83,X84,X85) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).
cnf(c_0_64,plain,
( ~ coll(X3,X3,X2)
| ~ para(X3,X1,X3,X1)
| cyclic(X1,X2,X3,X3) ),
inference(spm,[status(thm)],[c_0_60,c_0_36]) ).
cnf(c_0_65,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_62])]) ).
fof(c_0_66,plain,
! [X78,X79,X80,X81] :
( cyclic(X78,X79,X81,X80)
| ~ cyclic(X78,X79,X80,X81) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).
cnf(c_0_67,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_52])]),c_0_65])]) ).
fof(c_0_69,plain,
! [X312,X313,X314,X315,X316] :
( midp(X316,X313,X314)
| ~ eqangle(X312,X313,X312,X314,X315,X313,X315,X316)
| ~ coll(X316,X313,X314)
| ~ circle(X315,X312,X313,X314) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])])]) ).
fof(c_0_70,plain,
! [X263,X264,X265,X266] :
( eqangle(X265,X263,X265,X264,X266,X263,X266,X264)
| ~ cyclic(X263,X264,X265,X266) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).
fof(c_0_71,plain,
! [X86,X87,X88,X89] :
( cyclic(X87,X86,X88,X89)
| ~ cyclic(X86,X87,X88,X89) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).
cnf(c_0_72,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_73,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,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_69]) ).
cnf(c_0_75,plain,
( ~ cyclic(X1,X2,X3,X4)
| eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
fof(c_0_76,plain,
! [X90,X91,X92,X93,X94] :
( cyclic(X91,X92,X93,X94)
| ~ cyclic(X90,X91,X92,X94)
| ~ cyclic(X90,X91,X92,X93) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_77,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_78,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
fof(c_0_79,plain,
! [X286,X287,X288,X289,X290] :
( midp(X290,X286,X288)
| ~ coll(X290,X286,X288)
| ~ para(X289,X290,X287,X288)
| ~ midp(X289,X286,X287) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_80,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_74,c_0_75]) ).
cnf(c_0_81,plain,
( ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_83,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_79]) ).
cnf(c_0_84,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_80,c_0_59])]) ).
cnf(c_0_85,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_82])]) ).
cnf(c_0_86,plain,
( ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_65])]) ).
cnf(c_0_87,plain,
( ~ circle(X3,X4,X2,X1)
| midp(X1,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]) ).
cnf(c_0_88,negated_conjecture,
circle(esk21_0,esk22_0,esk23_0,esk29_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_89,plain,
! [X66,X67,X68] :
( midp(X68,X66,X67)
| ~ midp(X68,X67,X66) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
cnf(c_0_90,negated_conjecture,
( ~ midp(X3,X2,X3)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_52]) ).
cnf(c_0_91,negated_conjecture,
midp(esk29_0,esk23_0,esk29_0),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
fof(c_0_92,plain,
! [X412,X413,X414,X415,X416,X417,X418,X419] :
( para(X412,X413,X414,X415)
| ~ para(X416,X417,X418,X419)
| ~ eqangle(X412,X413,X414,X415,X416,X417,X418,X419) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_93,plain,
! [X291,X292,X293] :
( eqangle(X293,X291,X291,X292,X291,X292,X293,X292)
| ~ cong(X293,X291,X293,X292) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
fof(c_0_94,plain,
! [X392,X393,X394] :
( cong(X392,X393,X392,X394)
| ~ midp(X392,X393,X394) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_95,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_96,negated_conjecture,
midp(X1,esk23_0,X1),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_97,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_92]) ).
cnf(c_0_98,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_99,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_100,negated_conjecture,
midp(X1,X1,esk23_0),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,plain,
( ~ para(X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3)
| para(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
cong(X1,X1,X1,esk23_0),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
fof(c_0_103,plain,
! [X376,X377,X378,X379,X380] :
( midp(X380,X378,X379)
| ~ para(X376,X379,X377,X378)
| ~ para(X376,X378,X377,X379)
| ~ midp(X380,X376,X377) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_104,negated_conjecture,
para(X1,X1,X1,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_52])]) ).
cnf(c_0_105,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_103]) ).
cnf(c_0_106,negated_conjecture,
( ~ midp(X1,X2,X1)
| midp(X1,X2,esk23_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_104]) ).
cnf(c_0_107,negated_conjecture,
( ~ midp(X1,X3,X3)
| midp(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_52]),c_0_52])]) ).
cnf(c_0_108,negated_conjecture,
midp(X1,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_106,c_0_96]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_110,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_90,c_0_109]) ).
fof(c_0_111,plain,
! [X281,X282,X283,X284,X285] :
( para(X284,X285,X282,X283)
| ~ midp(X285,X281,X283)
| ~ midp(X284,X281,X282) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).
cnf(c_0_112,negated_conjecture,
midp(X1,X2,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_110])]) ).
cnf(c_0_113,plain,
( ~ midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| para(X1,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_114,negated_conjecture,
midp(X1,esk23_0,X2),
inference(spm,[status(thm)],[c_0_95,c_0_112]) ).
cnf(c_0_115,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_114])]) ).
cnf(c_0_116,plain,
( ~ midp(X1,X4,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_115]),c_0_115])]) ).
cnf(c_0_117,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_116,c_0_114]) ).
cnf(c_0_118,negated_conjecture,
~ cong(esk21_0,esk25_0,esk21_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_119,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_117])]) ).
cnf(c_0_120,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_119])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO591+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n001.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 20 17:53:13 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.98/1.09 % Version: 3.5.1
% 3.98/1.09 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.98/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.98/1.09 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.98/1.09 % Starting new_bool_3 with 300s (1) cores
% 3.98/1.09 % Starting new_bool_1 with 300s (1) cores
% 3.98/1.09 % Starting sh5l with 300s (1) cores
% 3.98/1.09 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1095558 completed with status 0
% 3.98/1.09 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 3.98/1.09 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.98/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.98/1.09 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.98/1.09 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.98/1.09 % No SInE strategy applied
% 3.98/1.09 % Search class: FGUSF-FFLM33-SFFFFFNN
% 3.98/1.09 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 3.98/1.09 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.98/1.09 % Starting SubtermCWHack with 136s (1) cores
% 3.98/1.09 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.98/1.09 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 3.98/1.09 % Starting new_bool_3 with 136s (1) cores
% 3.98/1.09 % Starting new_bool_1 with 136s (1) cores
% 3.98/1.09 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 1095566 completed with status 0
% 3.98/1.09 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 3.98/1.09 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.98/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.98/1.09 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.98/1.09 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.98/1.09 % No SInE strategy applied
% 3.98/1.09 % Search class: FGUSF-FFLM33-SFFFFFNN
% 3.98/1.09 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 3.98/1.09 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.98/1.09 % Starting SubtermCWHack with 136s (1) cores
% 3.98/1.09 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.98/1.09 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 3.98/1.09 % Preprocessing time : 0.003 s
% 3.98/1.09 % Presaturation interreduction done
% 3.98/1.09
% 3.98/1.09 % Proof found!
% 3.98/1.09 % SZS status Theorem
% 3.98/1.09 % SZS output start CNFRefutation
% See solution above
% 3.98/1.09 % Parsed axioms : 95
% 3.98/1.09 % Removed by relevancy pruning/SinE : 0
% 3.98/1.09 % Initial clauses : 121
% 3.98/1.09 % Removed in clause preprocessing : 0
% 3.98/1.09 % Initial clauses in saturation : 121
% 3.98/1.09 % Processed clauses : 3002
% 3.98/1.09 % ...of these trivial : 198
% 3.98/1.09 % ...subsumed : 141
% 3.98/1.09 % ...remaining for further processing : 2663
% 3.98/1.09 % Other redundant clauses eliminated : 0
% 3.98/1.09 % Clauses deleted for lack of memory : 0
% 3.98/1.09 % Backward-subsumed : 18
% 3.98/1.09 % Backward-rewritten : 2380
% 3.98/1.09 % Generated clauses : 15629
% 3.98/1.09 % ...of the previous two non-redundant : 10568
% 3.98/1.09 % ...aggressively subsumed : 0
% 3.98/1.09 % Contextual simplify-reflections : 17
% 3.98/1.09 % Paramodulations : 15629
% 3.98/1.09 % Factorizations : 0
% 3.98/1.09 % NegExts : 0
% 3.98/1.09 % Equation resolutions : 0
% 3.98/1.09 % Disequality decompositions : 0
% 3.98/1.09 % Total rewrite steps : 8577
% 3.98/1.09 % ...of those cached : 5492
% 3.98/1.09 % Propositional unsat checks : 0
% 3.98/1.09 % Propositional check models : 0
% 3.98/1.09 % Propositional check unsatisfiable : 0
% 3.98/1.09 % Propositional clauses : 0
% 3.98/1.09 % Propositional clauses after purity: 0
% 3.98/1.09 % Propositional unsat core size : 0
% 3.98/1.09 % Propositional preprocessing time : 0.000
% 3.98/1.09 % Propositional encoding time : 0.000
% 3.98/1.09 % Propositional solver time : 0.000
% 3.98/1.09 % Success case prop preproc time : 0.000
% 3.98/1.09 % Success case prop encoding time : 0.000
% 3.98/1.09 % Success case prop solver time : 0.000
% 3.98/1.09 % Current number of processed clauses : 145
% 3.98/1.09 % Positive orientable unit clauses : 90
% 3.98/1.09 % Positive unorientable unit clauses: 0
% 3.98/1.09 % Negative unit clauses : 0
% 3.98/1.09 % Non-unit-clauses : 55
% 3.98/1.09 % Current number of unprocessed clauses: 6970
% 3.98/1.09 % ...number of literals in the above : 21511
% 3.98/1.09 % Current number of archived formulas : 0
% 3.98/1.09 % Current number of archived clauses : 2518
% 3.98/1.09 % Clause-clause subsumption calls (NU) : 75418
% 3.98/1.09 % Rec. Clause-clause subsumption calls : 62740
% 3.98/1.09 % Non-unit clause-clause subsumptions : 176
% 3.98/1.09 % Unit Clause-clause subsumption calls : 27724
% 3.98/1.09 % Rewrite failures with RHS unbound : 0
% 3.98/1.09 % BW rewrite match attempts : 14093
% 3.98/1.09 % BW rewrite match successes : 1892
% 3.98/1.09 % Condensation attempts : 0
% 3.98/1.09 % Condensation successes : 0
% 3.98/1.09 % Termbank termtop insertions : 195446
% 3.98/1.09 % Search garbage collected termcells : 2829
% 3.98/1.09
% 3.98/1.09 % -------------------------------------------------
% 3.98/1.09 % User time : 0.366 s
% 3.98/1.09 % System time : 0.023 s
% 3.98/1.09 % Total time : 0.389 s
% 3.98/1.09 % Maximum resident set size: 4304 pages
% 3.98/1.09
% 3.98/1.09 % -------------------------------------------------
% 3.98/1.09 % User time : 2.533 s
% 3.98/1.09 % System time : 0.123 s
% 3.98/1.09 % Total time : 2.656 s
% 3.98/1.09 % Maximum resident set size: 4864 pages
% 3.98/1.09 % E exiting
%------------------------------------------------------------------------------