%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO660+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 : n016.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 0.17s 0.95s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 27
% Syntax : Number of formulae : 119 ( 23 unt; 0 def)
% Number of atoms : 291 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 279 ( 107 ~; 104 |; 40 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 465 ( 30 sgn 250 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo7Book00EE02E02319,conjecture,
! [X1,X2,X3,X4,X5,X6,X13] :
( ( coll(X13,X1,X5)
& coll(X13,X2,X3)
& eqangle(X4,X3,X3,X6,X6,X3,X3,X2)
& eqangle(X2,X1,X1,X5,X5,X1,X1,X3)
& coll(X6,X1,X2)
& coll(X5,X3,X4)
& coll(X4,X1,X2)
& perp(X4,X3,X1,X2)
& perp(X3,X1,X3,X2) )
=> para(X5,X6,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo7Book00EE02E02319) ).
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(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(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(ruleD43,axiom,
! [X1,X2,X3,X9,X10,X15] :
( ( eqangle(X3,X1,X3,X2,X15,X9,X15,X10)
& cyclic(X1,X2,X3,X15)
& cyclic(X1,X2,X3,X10)
& cyclic(X1,X2,X3,X9) )
=> cong(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(ruleD54,axiom,
! [X1,X2,X3,X4] :
( ( para(X1,X2,X3,X4)
& cyclic(X1,X2,X3,X4) )
=> eqangle(X1,X4,X3,X4,X3,X4,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD54) ).
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(ruleD67,axiom,
! [X1,X2,X3] :
( ( coll(X1,X2,X3)
& cong(X1,X2,X1,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
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(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(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(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(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(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(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_27,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13] :
( ( coll(X13,X1,X5)
& coll(X13,X2,X3)
& eqangle(X4,X3,X3,X6,X6,X3,X3,X2)
& eqangle(X2,X1,X1,X5,X5,X1,X1,X3)
& coll(X6,X1,X2)
& coll(X5,X3,X4)
& coll(X4,X1,X2)
& perp(X4,X3,X1,X2)
& perp(X3,X1,X3,X2) )
=> para(X5,X6,X3,X2) ),
inference(assume_negation,[status(cth)],[exemplo7Book00EE02E02319]) ).
fof(c_0_28,plain,
! [X47,X48,X49,X50] :
( perp(X49,X50,X47,X48)
| ~ perp(X47,X48,X49,X50) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
fof(c_0_29,negated_conjecture,
( ~ para(esk25_0,esk26_0,esk23_0,esk22_0)
& coll(esk27_0,esk21_0,esk25_0)
& coll(esk27_0,esk22_0,esk23_0)
& eqangle(esk24_0,esk23_0,esk23_0,esk26_0,esk26_0,esk23_0,esk23_0,esk22_0)
& eqangle(esk22_0,esk21_0,esk21_0,esk25_0,esk25_0,esk21_0,esk21_0,esk23_0)
& coll(esk26_0,esk21_0,esk22_0)
& coll(esk25_0,esk23_0,esk24_0)
& coll(esk24_0,esk21_0,esk22_0)
& perp(esk24_0,esk23_0,esk21_0,esk22_0)
& perp(esk23_0,esk21_0,esk23_0,esk22_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
fof(c_0_30,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_31,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])])]) ).
fof(c_0_32,plain,
! [X51,X52,X53,X54,X55,X56] :
( para(X51,X52,X55,X56)
| ~ perp(X53,X54,X55,X56)
| ~ perp(X51,X52,X53,X54) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
cnf(c_0_33,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
perp(esk24_0,esk23_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_35,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_36,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_30]) ).
cnf(c_0_37,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_38,plain,
! [X33,X34,X35,X36] :
( para(X35,X36,X33,X34)
| ~ para(X33,X34,X35,X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
cnf(c_0_39,plain,
( ~ perp(X3,X4,X5,X6)
| ~ perp(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
perp(esk21_0,esk22_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
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_35]) ).
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_36,c_0_37]) ).
cnf(c_0_43,plain,
( ~ para(X1,X2,X3,X4)
| para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( ~ perp(X1,X2,esk21_0,esk22_0)
| para(X1,X2,esk24_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_45,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_46,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( ~ perp(X1,X2,esk21_0,esk22_0)
| para(esk24_0,esk23_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_48,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_49,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_34])]) ).
fof(c_0_51,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_52,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_53,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_54,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])])]) ).
fof(c_0_55,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_56,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,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_54]) ).
cnf(c_0_59,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_60,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_61,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_62,plain,
( ~ coll(X3,X3,X2)
| ~ para(X3,X1,X3,X1)
| cyclic(X1,X2,X3,X3) ),
inference(spm,[status(thm)],[c_0_58,c_0_37]) ).
cnf(c_0_63,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_60])]) ).
fof(c_0_64,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_65,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_66,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_50])]),c_0_63])]) ).
fof(c_0_67,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_68,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_69,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
fof(c_0_70,plain,
! [X272,X273,X274,X275,X276,X277] :
( cong(X272,X273,X275,X276)
| ~ eqangle(X274,X272,X274,X273,X277,X275,X277,X276)
| ~ cyclic(X272,X273,X274,X277)
| ~ cyclic(X272,X273,X274,X276)
| ~ cyclic(X272,X273,X274,X275) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])])]) ).
fof(c_0_71,plain,
! [X322,X323,X324,X325] :
( eqangle(X322,X325,X324,X325,X324,X325,X324,X323)
| ~ para(X322,X323,X324,X325)
| ~ cyclic(X322,X323,X324,X325) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])])]) ).
fof(c_0_72,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_73,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_74,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,plain,
( ~ eqangle(X3,X1,X3,X2,X6,X4,X6,X5)
| ~ cyclic(X1,X2,X3,X6)
| ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X4)
| cong(X1,X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_76,plain,
( ~ para(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X4)
| eqangle(X1,X4,X3,X4,X3,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_77,plain,
( ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_78,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_79,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_80,plain,
( ~ para(X3,X2,X3,X1)
| ~ cyclic(X3,X2,X3,X1)
| ~ cyclic(X1,X1,X3,X1)
| ~ cyclic(X1,X1,X3,X2)
| ~ cyclic(X1,X1,X3,X3)
| cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_78])]) ).
fof(c_0_82,plain,
! [X283,X284,X285,X286,X287] :
( midp(X287,X283,X285)
| ~ coll(X287,X283,X285)
| ~ para(X286,X287,X284,X285)
| ~ midp(X286,X283,X284) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
fof(c_0_83,plain,
! [X29,X30,X31,X32] :
( para(X29,X30,X32,X31)
| ~ para(X29,X30,X31,X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
fof(c_0_84,plain,
! [X373,X374,X375,X376,X377] :
( midp(X377,X375,X376)
| ~ para(X373,X376,X374,X375)
| ~ para(X373,X375,X374,X376)
| ~ midp(X377,X373,X374) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_85,plain,
( ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_86,plain,
( ~ para(X3,X2,X3,X1)
| cong(X1,X1,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_66])]),c_0_81]),c_0_81]),c_0_81])]) ).
fof(c_0_87,plain,
! [X409,X410,X411,X412,X413,X414,X415,X416] :
( para(X409,X410,X411,X412)
| ~ para(X413,X414,X415,X416)
| ~ eqangle(X409,X410,X411,X412,X413,X414,X415,X416) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_88,plain,
! [X260,X261,X262,X263] :
( eqangle(X262,X260,X262,X261,X263,X260,X263,X261)
| ~ cyclic(X260,X261,X262,X263) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).
cnf(c_0_89,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_82]) ).
cnf(c_0_90,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_91,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_84]) ).
cnf(c_0_92,plain,
( ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_63])]) ).
cnf(c_0_93,negated_conjecture,
cong(X1,X1,X1,X1),
inference(spm,[status(thm)],[c_0_86,c_0_50]) ).
cnf(c_0_94,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_87]) ).
cnf(c_0_95,plain,
( ~ cyclic(X1,X2,X3,X4)
| eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
fof(c_0_96,plain,
! [X288,X289,X290] :
( eqangle(X290,X288,X288,X289,X288,X289,X290,X289)
| ~ cong(X290,X288,X290,X289) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
cnf(c_0_97,plain,
( ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_63])]) ).
cnf(c_0_98,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_90,c_0_50]) ).
cnf(c_0_99,negated_conjecture,
( ~ midp(X1,X3,X3)
| midp(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_50]),c_0_50])]) ).
cnf(c_0_100,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_101,plain,
( ~ para(X4,X2,X4,X3)
| ~ cyclic(X2,X3,X1,X4)
| para(X1,X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_102,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
fof(c_0_103,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_104,negated_conjecture,
( ~ midp(X3,X2,X1)
| midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_105,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_106,plain,
( ~ para(X4,X2,X4,X3)
| para(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_81])]) ).
cnf(c_0_107,plain,
( ~ cong(X1,X1,X1,X2)
| para(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_102]) ).
cnf(c_0_108,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_110,plain,
( ~ cong(X2,X2,X2,X3)
| para(X1,X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
fof(c_0_112,plain,
! [X278,X279,X280,X281,X282] :
( para(X281,X282,X279,X280)
| ~ midp(X282,X278,X280)
| ~ midp(X281,X278,X279) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).
cnf(c_0_113,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_111])]) ).
cnf(c_0_114,plain,
( ~ midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| para(X1,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_115,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_113]),c_0_105]),c_0_113])]) ).
cnf(c_0_116,negated_conjecture,
~ para(esk25_0,esk26_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_117,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115]),c_0_115])]) ).
cnf(c_0_118,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO660+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.51 % Computer : n016.cluster.edu
% 0.11/0.51 % Model : x86_64 x86_64
% 0.11/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.51 % Memory : 8046.5625MB
% 0.11/0.51 % OS : Linux 6.8.0-71-generic
% 0.11/0.51 % CPULimit : 300
% 0.11/0.51 % WCLimit : 300
% 0.11/0.51 % DateTime : Sun Sep 20 18:21:22 UTC 2026
% 0.11/0.52 % CPUTime :
% 0.11/0.52 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.56 Running first-order theorem proving
% 0.16/0.56 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
% 0.17/0.95 % Version: 3.5.1
% 0.17/0.95 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.95 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.95 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.95 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.95 % Starting sh5l with 300s (1) cores
% 0.17/0.95 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 517285 completed with status 0
% 0.17/0.95 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/0.95 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.95 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.95 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.95 % No SInE strategy applied
% 0.17/0.95 % Search class: FGUSF-FFLM33-SFFFFFNN
% 0.17/0.95 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.17/0.95 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.95 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.95 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.95 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.17/0.95 % Starting new_bool_3 with 136s (1) cores
% 0.17/0.95 % Starting new_bool_1 with 136s (1) cores
% 0.17/0.95 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 517298 completed with status 0
% 0.17/0.95 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.17/0.95 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.95 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.95 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.95 % No SInE strategy applied
% 0.17/0.95 % Search class: FGUSF-FFLM33-SFFFFFNN
% 0.17/0.95 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.17/0.95 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.95 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.95 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.95 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.17/0.95 % Preprocessing time : 0.003 s
% 0.17/0.95 % Presaturation interreduction done
% 0.17/0.95
% 0.17/0.95 % Proof found!
% 0.17/0.95 % SZS status Theorem
% 0.17/0.95 % SZS output start CNFRefutation
% See solution above
% 0.17/0.95 % Parsed axioms : 95
% 0.17/0.95 % Removed by relevancy pruning/SinE : 0
% 0.17/0.95 % Initial clauses : 123
% 0.17/0.95 % Removed in clause preprocessing : 0
% 0.17/0.95 % Initial clauses in saturation : 123
% 0.17/0.95 % Processed clauses : 3453
% 0.17/0.95 % ...of these trivial : 213
% 0.17/0.95 % ...subsumed : 1032
% 0.17/0.95 % ...remaining for further processing : 2208
% 0.17/0.95 % Other redundant clauses eliminated : 0
% 0.17/0.95 % Clauses deleted for lack of memory : 0
% 0.17/0.95 % Backward-subsumed : 207
% 0.17/0.95 % Backward-rewritten : 1776
% 0.17/0.95 % Generated clauses : 15305
% 0.17/0.95 % ...of the previous two non-redundant : 10899
% 0.17/0.95 % ...aggressively subsumed : 0
% 0.17/0.95 % Contextual simplify-reflections : 3
% 0.17/0.95 % Paramodulations : 15305
% 0.17/0.95 % Factorizations : 0
% 0.17/0.95 % NegExts : 0
% 0.17/0.95 % Equation resolutions : 0
% 0.17/0.95 % Disequality decompositions : 0
% 0.17/0.95 % Total rewrite steps : 7353
% 0.17/0.95 % ...of those cached : 5416
% 0.17/0.95 % Propositional unsat checks : 0
% 0.17/0.95 % Propositional check models : 0
% 0.17/0.95 % Propositional check unsatisfiable : 0
% 0.17/0.95 % Propositional clauses : 0
% 0.17/0.95 % Propositional clauses after purity: 0
% 0.17/0.95 % Propositional unsat core size : 0
% 0.17/0.95 % Propositional preprocessing time : 0.000
% 0.17/0.95 % Propositional encoding time : 0.000
% 0.17/0.95 % Propositional solver time : 0.000
% 0.17/0.95 % Success case prop preproc time : 0.000
% 0.17/0.95 % Success case prop encoding time : 0.000
% 0.17/0.95 % Success case prop solver time : 0.000
% 0.17/0.95 % Current number of processed clauses : 103
% 0.17/0.95 % Positive orientable unit clauses : 36
% 0.17/0.95 % Positive unorientable unit clauses: 0
% 0.17/0.95 % Negative unit clauses : 4
% 0.17/0.95 % Non-unit-clauses : 63
% 0.17/0.95 % Current number of unprocessed clauses: 7248
% 0.17/0.95 % ...number of literals in the above : 22856
% 0.17/0.95 % Current number of archived formulas : 0
% 0.17/0.95 % Current number of archived clauses : 2105
% 0.17/0.95 % Clause-clause subsumption calls (NU) : 112765
% 0.17/0.95 % Rec. Clause-clause subsumption calls : 93562
% 0.17/0.95 % Non-unit clause-clause subsumptions : 1127
% 0.17/0.95 % Unit Clause-clause subsumption calls : 16434
% 0.17/0.95 % Rewrite failures with RHS unbound : 0
% 0.17/0.95 % BW rewrite match attempts : 7950
% 0.17/0.95 % BW rewrite match successes : 1233
% 0.17/0.95 % Condensation attempts : 0
% 0.17/0.95 % Condensation successes : 0
% 0.17/0.95 % Termbank termtop insertions : 173451
% 0.17/0.95 % Search garbage collected termcells : 2834
% 0.17/0.95
% 0.17/0.95 % -------------------------------------------------
% 0.17/0.95 % User time : 0.346 s
% 0.17/0.95 % System time : 0.016 s
% 0.17/0.95 % Total time : 0.362 s
% 0.17/0.95 % Maximum resident set size: 4260 pages
% 0.17/0.95
% 0.17/0.95 % -------------------------------------------------
% 0.17/0.95 % User time : 1.687 s
% 0.17/0.95 % System time : 0.099 s
% 0.17/0.95 % Total time : 1.787 s
% 0.17/0.95 % Maximum resident set size: 5120 pages
% 0.17/0.95 % E exiting
%------------------------------------------------------------------------------