%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO574+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 : n003.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 12:28:29 PM UTC 2026
% Result : Theorem 2.89s 0.80s
% Output : CNFRefutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 29
% Syntax : Number of formulae : 135 ( 33 unt; 0 def)
% Number of atoms : 304 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 276 ( 107 ~; 104 |; 35 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 559 ( 53 sgn 290 !; 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(exemplo6GDDFULL214036,conjecture,
! [X1,X2,X3,X8,X4,X5,X14,X19] :
( ( circle(X19,X1,X14,X2)
& coll(X14,X2,X5)
& coll(X14,X3,X4)
& coll(X5,X1,X3)
& perp(X5,X2,X1,X3)
& coll(X4,X1,X2)
& perp(X4,X3,X1,X2)
& circle(X8,X1,X2,X3) )
=> eqangle(X19,X1,X1,X2,X2,X1,X1,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214036) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/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/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(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(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(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(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(ruleD22,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
( ( eqangle(X9,X10,X11,X12,X5,X6,X13,X14)
& eqangle(X1,X2,X3,X4,X9,X10,X11,X12) )
=> eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(c_0_29,plain,
! [X52,X53,X54,X55,X56,X57] :
( para(X52,X53,X56,X57)
| ~ perp(X54,X55,X56,X57)
| ~ perp(X52,X53,X54,X55) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
fof(c_0_30,plain,
! [X494,X495,X496,X497] :
( perp(esk12_4(X494,X495,X496,X497),X494,X494,X497)
| ~ circle(X497,X494,X495,X496) ),
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_31,plain,
! [X48,X49,X50,X51] :
( perp(X50,X51,X48,X49)
| ~ perp(X48,X49,X50,X51) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
cnf(c_0_32,plain,
( ~ perp(X3,X4,X5,X6)
| ~ perp(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,plain,
( ~ circle(X1,X2,X3,X4)
| perp(esk12_4(X2,X3,X4,X1),X2,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_35,negated_conjecture,
~ ! [X1,X2,X3,X8,X4,X5,X14,X19] :
( ( circle(X19,X1,X14,X2)
& coll(X14,X2,X5)
& coll(X14,X3,X4)
& coll(X5,X1,X3)
& perp(X5,X2,X1,X3)
& coll(X4,X1,X2)
& perp(X4,X3,X1,X2)
& circle(X8,X1,X2,X3) )
=> eqangle(X19,X1,X1,X2,X2,X1,X1,X8) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214036]) ).
cnf(c_0_36,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_32,c_0_33]) ).
cnf(c_0_37,plain,
( ~ circle(X2,X1,X3,X4)
| perp(X1,X2,esk12_4(X1,X3,X4,X2),X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_33]) ).
fof(c_0_38,negated_conjecture,
( ~ eqangle(esk28_0,esk21_0,esk21_0,esk22_0,esk22_0,esk21_0,esk21_0,esk24_0)
& circle(esk28_0,esk21_0,esk27_0,esk22_0)
& coll(esk27_0,esk22_0,esk26_0)
& coll(esk27_0,esk23_0,esk25_0)
& coll(esk26_0,esk21_0,esk23_0)
& perp(esk26_0,esk22_0,esk21_0,esk23_0)
& coll(esk25_0,esk21_0,esk22_0)
& perp(esk25_0,esk23_0,esk21_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_35])])])]) ).
fof(c_0_39,plain,
! [X30,X31,X32,X33] :
( para(X30,X31,X33,X32)
| ~ para(X30,X31,X32,X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
cnf(c_0_40,plain,
( ~ circle(X2,X1,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
circle(esk28_0,esk21_0,esk27_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_42,plain,
! [X101,X102,X103,X104,X105,X106,X107,X108] :
( eqangle(X103,X104,X101,X102,X107,X108,X105,X106)
| ~ eqangle(X101,X102,X103,X104,X105,X106,X107,X108) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_43,plain,
! [X255,X256,X257,X258,X259,X260] :
( eqangle(X255,X256,X259,X260,X257,X258,X259,X260)
| ~ para(X255,X256,X257,X258) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
fof(c_0_44,plain,
! [X34,X35,X36,X37] :
( para(X36,X37,X34,X35)
| ~ para(X34,X35,X36,X37) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
cnf(c_0_45,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,negated_conjecture,
para(esk21_0,esk28_0,esk21_0,esk28_0),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_47,plain,
! [X249,X250,X251,X252,X253,X254] :
( para(X249,X250,X251,X252)
| ~ eqangle(X249,X250,X253,X254,X251,X252,X253,X254) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_48,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_42]) ).
cnf(c_0_49,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,plain,
( ~ para(X1,X2,X3,X4)
| para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,negated_conjecture,
para(esk21_0,esk28_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,plain,
( ~ para(X3,X4,X5,X6)
| eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
para(esk28_0,esk21_0,esk21_0,esk28_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_55,plain,
! [X384,X385,X386] :
( coll(X384,X385,X386)
| ~ para(X384,X385,X384,X386) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_56,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
para(esk28_0,esk21_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_45,c_0_54]) ).
fof(c_0_58,plain,
! [X23,X24,X25] :
( coll(X24,X23,X25)
| ~ coll(X23,X24,X25) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_59,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_60,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_61,plain,
! [X20,X21,X22] :
( coll(X20,X22,X21)
| ~ coll(X20,X21,X22) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_62,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_63,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_64,plain,
! [X269,X270,X271,X272] :
( cyclic(X269,X270,X271,X272)
| ~ coll(X271,X272,X270)
| ~ eqangle(X271,X269,X271,X270,X272,X269,X272,X270) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
fof(c_0_65,plain,
! [X26,X27,X28,X29] :
( coll(X28,X29,X26)
| ~ coll(X26,X27,X29)
| ~ coll(X26,X27,X28) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_66,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_67,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_68,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_64]) ).
cnf(c_0_69,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_70,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_71,plain,
! [X80,X81,X82,X83] :
( cyclic(X80,X82,X81,X83)
| ~ cyclic(X80,X81,X82,X83) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).
cnf(c_0_72,plain,
( ~ coll(X3,X3,X2)
| ~ para(X3,X1,X3,X1)
| cyclic(X1,X2,X3,X3) ),
inference(spm,[status(thm)],[c_0_68,c_0_49]) ).
cnf(c_0_73,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_70])]) ).
fof(c_0_74,plain,
! [X76,X77,X78,X79] :
( cyclic(X76,X77,X79,X78)
| ~ cyclic(X76,X77,X78,X79) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).
cnf(c_0_75,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_76,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_60])]),c_0_73])]) ).
fof(c_0_77,plain,
! [X310,X311,X312,X313,X314] :
( midp(X314,X311,X312)
| ~ eqangle(X310,X311,X310,X312,X313,X311,X313,X314)
| ~ coll(X314,X311,X312)
| ~ circle(X313,X310,X311,X312) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])])]) ).
fof(c_0_78,plain,
! [X261,X262,X263,X264] :
( eqangle(X263,X261,X263,X262,X264,X261,X264,X262)
| ~ cyclic(X261,X262,X263,X264) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).
fof(c_0_79,plain,
! [X84,X85,X86,X87] :
( cyclic(X85,X84,X86,X87)
| ~ cyclic(X84,X85,X86,X87) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).
cnf(c_0_80,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_81,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_82,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_77]) ).
cnf(c_0_83,plain,
( ~ cyclic(X1,X2,X3,X4)
| eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
fof(c_0_84,plain,
! [X88,X89,X90,X91,X92] :
( cyclic(X89,X90,X91,X92)
| ~ cyclic(X88,X89,X90,X92)
| ~ cyclic(X88,X89,X90,X91) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_85,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_86,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
fof(c_0_87,plain,
! [X284,X285,X286,X287,X288] :
( midp(X288,X284,X286)
| ~ coll(X288,X284,X286)
| ~ para(X287,X288,X285,X286)
| ~ midp(X287,X284,X285) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_88,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_82,c_0_83]) ).
cnf(c_0_89,plain,
( ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_90,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_91,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_87]) ).
cnf(c_0_92,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_88,c_0_67])]) ).
cnf(c_0_93,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_90])]) ).
cnf(c_0_94,plain,
( ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_73])]) ).
cnf(c_0_95,plain,
( ~ circle(X3,X4,X2,X1)
| midp(X1,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93])]) ).
cnf(c_0_96,negated_conjecture,
circle(esk24_0,esk21_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_97,plain,
! [X64,X65,X66] :
( midp(X66,X64,X65)
| ~ midp(X66,X65,X64) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
cnf(c_0_98,negated_conjecture,
( ~ midp(X3,X2,X3)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_60]) ).
cnf(c_0_99,negated_conjecture,
midp(esk23_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
fof(c_0_100,plain,
! [X410,X411,X412,X413,X414,X415,X416,X417] :
( para(X410,X411,X412,X413)
| ~ para(X414,X415,X416,X417)
| ~ eqangle(X410,X411,X412,X413,X414,X415,X416,X417) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_101,plain,
! [X289,X290,X291] :
( eqangle(X291,X289,X289,X290,X289,X290,X291,X290)
| ~ cong(X291,X289,X291,X290) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
fof(c_0_102,plain,
! [X390,X391,X392] :
( cong(X390,X391,X390,X392)
| ~ midp(X390,X391,X392) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_103,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_104,negated_conjecture,
midp(X1,esk22_0,X1),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_105,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_100]) ).
cnf(c_0_106,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_107,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_108,negated_conjecture,
midp(X1,X1,esk22_0),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_109,plain,
( ~ para(X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3)
| para(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_110,negated_conjecture,
cong(X1,X1,X1,esk22_0),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
fof(c_0_111,plain,
! [X374,X375,X376,X377,X378] :
( midp(X378,X376,X377)
| ~ para(X374,X377,X375,X376)
| ~ para(X374,X376,X375,X377)
| ~ midp(X378,X374,X375) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_112,negated_conjecture,
para(X1,X1,X1,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_60])]) ).
cnf(c_0_113,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_111]) ).
cnf(c_0_114,negated_conjecture,
( ~ midp(X1,X2,X1)
| midp(X1,X2,esk22_0) ),
inference(spm,[status(thm)],[c_0_94,c_0_112]) ).
cnf(c_0_115,negated_conjecture,
( ~ midp(X1,X3,X3)
| midp(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_60]),c_0_60])]) ).
cnf(c_0_116,negated_conjecture,
midp(X1,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_114,c_0_104]) ).
cnf(c_0_117,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_118,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_98,c_0_117]) ).
fof(c_0_119,plain,
! [X279,X280,X281,X282,X283] :
( para(X282,X283,X280,X281)
| ~ midp(X283,X279,X281)
| ~ midp(X282,X279,X280) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).
cnf(c_0_120,negated_conjecture,
midp(X1,X2,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_118])]) ).
cnf(c_0_121,plain,
( ~ midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| para(X1,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_122,negated_conjecture,
midp(X1,esk22_0,X2),
inference(spm,[status(thm)],[c_0_103,c_0_120]) ).
fof(c_0_123,plain,
! [X117,X118,X119,X120,X121,X122,X123,X124] :
( eqangle(X117,X118,X121,X122,X119,X120,X123,X124)
| ~ eqangle(X117,X118,X119,X120,X121,X122,X123,X124) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])])]) ).
cnf(c_0_124,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_122])]) ).
cnf(c_0_125,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
fof(c_0_126,plain,
! [X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136] :
( eqangle(X125,X126,X127,X128,X133,X134,X135,X136)
| ~ eqangle(X129,X130,X131,X132,X133,X134,X135,X136)
| ~ eqangle(X125,X126,X127,X128,X129,X130,X131,X132) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])])]) ).
cnf(c_0_127,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_124])]) ).
cnf(c_0_128,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X3,X4,X5,X6,X5,X6) ),
inference(spm,[status(thm)],[c_0_125,c_0_49]) ).
cnf(c_0_129,plain,
( ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X1,X2,X3,X4,X9,X10,X11,X12) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_130,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_125,c_0_127]) ).
cnf(c_0_131,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_124])]) ).
cnf(c_0_132,negated_conjecture,
~ eqangle(esk28_0,esk21_0,esk21_0,esk22_0,esk22_0,esk21_0,esk21_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_133,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131])]) ).
cnf(c_0_134,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_133])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO574+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 17:43:01 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 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
% 2.89/0.80 % Version: 3.5.1
% 2.89/0.80 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.89/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.89/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.89/0.80 % Starting new_bool_3 with 300s (1) cores
% 2.89/0.80 % Starting new_bool_1 with 300s (1) cores
% 2.89/0.80 % Starting sh5l with 300s (1) cores
% 2.89/0.80 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2247239 completed with status 0
% 2.89/0.80 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.89/0.80 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.89/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.89/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.89/0.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.89/0.80 % No SInE strategy applied
% 2.89/0.80 % Search class: FGUSF-FFLM33-SFFFFFNN
% 2.89/0.80 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.89/0.80 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.89/0.80 % Starting SubtermCWHack with 136s (1) cores
% 2.89/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.89/0.80 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.89/0.80 % Starting new_bool_3 with 136s (1) cores
% 2.89/0.80 % Starting new_bool_1 with 136s (1) cores
% 2.89/0.80 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 2247247 completed with status 0
% 2.89/0.80 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 2.89/0.80 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.89/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.89/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.89/0.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.89/0.80 % No SInE strategy applied
% 2.89/0.80 % Search class: FGUSF-FFLM33-SFFFFFNN
% 2.89/0.80 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.89/0.80 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.89/0.80 % Starting SubtermCWHack with 136s (1) cores
% 2.89/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.89/0.80 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.89/0.80 % Preprocessing time : 0.003 s
% 2.89/0.80 % Presaturation interreduction done
% 2.89/0.80
% 2.89/0.80 % Proof found!
% 2.89/0.80 % SZS status Theorem
% 2.89/0.80 % SZS output start CNFRefutation
% See solution above
% 2.89/0.80 % Parsed axioms : 95
% 2.89/0.80 % Removed by relevancy pruning/SinE : 0
% 2.89/0.80 % Initial clauses : 122
% 2.89/0.80 % Removed in clause preprocessing : 0
% 2.89/0.80 % Initial clauses in saturation : 122
% 2.89/0.80 % Processed clauses : 2827
% 2.89/0.80 % ...of these trivial : 371
% 2.89/0.80 % ...subsumed : 96
% 2.89/0.80 % ...remaining for further processing : 2360
% 2.89/0.80 % Other redundant clauses eliminated : 0
% 2.89/0.80 % Clauses deleted for lack of memory : 0
% 2.89/0.80 % Backward-subsumed : 24
% 2.89/0.80 % Backward-rewritten : 2189
% 2.89/0.80 % Generated clauses : 15705
% 2.89/0.80 % ...of the previous two non-redundant : 8970
% 2.89/0.80 % ...aggressively subsumed : 0
% 2.89/0.80 % Contextual simplify-reflections : 2
% 2.89/0.80 % Paramodulations : 15705
% 2.89/0.80 % Factorizations : 0
% 2.89/0.80 % NegExts : 0
% 2.89/0.80 % Equation resolutions : 0
% 2.89/0.80 % Disequality decompositions : 0
% 2.89/0.80 % Total rewrite steps : 10087
% 2.89/0.80 % ...of those cached : 7153
% 2.89/0.80 % Propositional unsat checks : 0
% 2.89/0.80 % Propositional check models : 0
% 2.89/0.80 % Propositional check unsatisfiable : 0
% 2.89/0.80 % Propositional clauses : 0
% 2.89/0.80 % Propositional clauses after purity: 0
% 2.89/0.80 % Propositional unsat core size : 0
% 2.89/0.80 % Propositional preprocessing time : 0.000
% 2.89/0.80 % Propositional encoding time : 0.000
% 2.89/0.80 % Propositional solver time : 0.000
% 2.89/0.80 % Success case prop preproc time : 0.000
% 2.89/0.80 % Success case prop encoding time : 0.000
% 2.89/0.80 % Success case prop solver time : 0.000
% 2.89/0.80 % Current number of processed clauses : 26
% 2.89/0.80 % Positive orientable unit clauses : 12
% 2.89/0.80 % Positive unorientable unit clauses: 0
% 2.89/0.80 % Negative unit clauses : 0
% 2.89/0.80 % Non-unit-clauses : 14
% 2.89/0.80 % Current number of unprocessed clauses: 4648
% 2.89/0.80 % ...number of literals in the above : 15591
% 2.89/0.80 % Current number of archived formulas : 0
% 2.89/0.80 % Current number of archived clauses : 2334
% 2.89/0.80 % Clause-clause subsumption calls (NU) : 56358
% 2.89/0.80 % Rec. Clause-clause subsumption calls : 46241
% 2.89/0.80 % Non-unit clause-clause subsumptions : 122
% 2.89/0.80 % Unit Clause-clause subsumption calls : 195126
% 2.89/0.80 % Rewrite failures with RHS unbound : 0
% 2.89/0.80 % BW rewrite match attempts : 14290
% 2.89/0.80 % BW rewrite match successes : 1762
% 2.89/0.80 % Condensation attempts : 0
% 2.89/0.80 % Condensation successes : 0
% 2.89/0.80 % Termbank termtop insertions : 174706
% 2.89/0.80 % Search garbage collected termcells : 2836
% 2.89/0.80
% 2.89/0.80 % -------------------------------------------------
% 2.89/0.80 % User time : 0.336 s
% 2.89/0.80 % System time : 0.018 s
% 2.89/0.80 % Total time : 0.354 s
% 2.89/0.80 % Maximum resident set size: 4304 pages
% 2.89/0.80
% 2.89/0.80 % -------------------------------------------------
% 2.89/0.80 % User time : 1.602 s
% 2.89/0.80 % System time : 0.074 s
% 2.89/0.80 % Total time : 1.675 s
% 2.89/0.80 % Maximum resident set size: 4864 pages
% 2.89/0.80 % E exiting
%------------------------------------------------------------------------------