%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO578+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 : n020.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 12:28:30 PM UTC 2026
% Result : Theorem 1.27s 0.61s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 27
% Syntax : Number of formulae : 215 ( 108 unt; 0 def)
% Number of atoms : 379 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 276 ( 112 ~; 109 |; 27 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 410 ( 0 sgn 254 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL214040,conjecture,
! [X1,X2,X3,X19,X5] :
( ( coll(X5,X1,X3)
& para(X1,X2,X5,X19)
& eqangle(X19,X3,X3,X1,X19,X3,X3,X2)
& eqangle(X19,X2,X2,X3,X19,X2,X2,X1)
& eqangle(X19,X1,X1,X2,X19,X1,X1,X3) )
=> cong(X5,X19,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214040) ).
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(ruleD6,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X3,X4,X5,X6)
& para(X1,X2,X3,X4) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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(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(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(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(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(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(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(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(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(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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(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(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(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(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(ruleD67,axiom,
! [X1,X2,X3] :
( ( coll(X1,X2,X3)
& cong(X1,X2,X1,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(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(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(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X3,X4)
& midp(X7,X1,X2) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(c_0_27,negated_conjecture,
~ ! [X1,X2,X3,X19,X5] :
( ( coll(X5,X1,X3)
& para(X1,X2,X5,X19)
& eqangle(X19,X3,X3,X1,X19,X3,X3,X2)
& eqangle(X19,X2,X2,X3,X19,X2,X2,X1)
& eqangle(X19,X1,X1,X2,X19,X1,X1,X3) )
=> cong(X5,X19,X5,X1) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214040]) ).
fof(c_0_28,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])])]) ).
fof(c_0_29,negated_conjecture,
( ~ cong(esk25_0,esk24_0,esk25_0,esk21_0)
& coll(esk25_0,esk21_0,esk23_0)
& para(esk21_0,esk22_0,esk25_0,esk24_0)
& eqangle(esk24_0,esk23_0,esk23_0,esk21_0,esk24_0,esk23_0,esk23_0,esk22_0)
& eqangle(esk24_0,esk22_0,esk22_0,esk23_0,esk24_0,esk22_0,esk22_0,esk21_0)
& eqangle(esk24_0,esk21_0,esk21_0,esk22_0,esk24_0,esk21_0,esk21_0,esk23_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,
! [X38,X39,X40,X41,X42,X43] :
( para(X38,X39,X42,X43)
| ~ para(X40,X41,X42,X43)
| ~ para(X38,X39,X40,X41) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])])]) ).
fof(c_0_31,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_32,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,negated_conjecture,
para(esk21_0,esk22_0,esk25_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_34,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_35,plain,
( ~ para(X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
( ~ para(X1,X2,X3,X4)
| para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,negated_conjecture,
para(esk21_0,esk22_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_38,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_39,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,negated_conjecture,
coll(esk25_0,esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_41,negated_conjecture,
( ~ para(X1,X2,esk21_0,esk22_0)
| para(X1,X2,esk25_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_33]) ).
cnf(c_0_42,negated_conjecture,
para(esk24_0,esk25_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_43,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_44,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,negated_conjecture,
coll(esk21_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_46,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_47,negated_conjecture,
para(esk24_0,esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,negated_conjecture,
coll(esk21_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,negated_conjecture,
para(esk24_0,esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_32,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
para(esk25_0,esk24_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_53,negated_conjecture,
( ~ coll(esk21_0,esk23_0,X1)
| coll(X1,esk25_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
coll(esk24_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
para(esk25_0,esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_41,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
coll(esk25_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_53,c_0_49]) ).
cnf(c_0_57,negated_conjecture,
coll(esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_39,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
coll(esk25_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_50,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
( ~ coll(esk25_0,esk25_0,X1)
| coll(X1,esk21_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
coll(esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_44,c_0_57]) ).
cnf(c_0_61,negated_conjecture,
coll(esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_39,c_0_58]) ).
cnf(c_0_62,negated_conjecture,
coll(esk24_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_63,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])])]) ).
cnf(c_0_64,negated_conjecture,
( ~ coll(esk24_0,esk25_0,X1)
| coll(X1,esk24_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_61]) ).
cnf(c_0_65,negated_conjecture,
coll(esk24_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_44,c_0_62]) ).
fof(c_0_66,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])])]) ).
cnf(c_0_67,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,negated_conjecture,
coll(esk21_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_69,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])])]) ).
cnf(c_0_70,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_66]) ).
cnf(c_0_71,negated_conjecture,
eqangle(esk25_0,esk24_0,X1,X2,esk25_0,esk24_0,X1,X2),
inference(spm,[status(thm)],[c_0_67,c_0_55]) ).
cnf(c_0_72,negated_conjecture,
eqangle(esk24_0,esk25_0,X1,X2,esk24_0,esk25_0,X1,X2),
inference(spm,[status(thm)],[c_0_67,c_0_51]) ).
cnf(c_0_73,negated_conjecture,
coll(esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_39,c_0_68]) ).
fof(c_0_74,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_75,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_69]) ).
cnf(c_0_76,negated_conjecture,
eqangle(esk24_0,esk23_0,esk23_0,esk21_0,esk24_0,esk23_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_77,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_78,negated_conjecture,
( ~ coll(esk25_0,esk25_0,X1)
| cyclic(esk24_0,X1,esk25_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_79,negated_conjecture,
( ~ coll(esk24_0,esk24_0,X1)
| cyclic(esk25_0,X1,esk24_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
coll(esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_44,c_0_73]) ).
cnf(c_0_81,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_82,negated_conjecture,
eqangle(esk23_0,esk21_0,esk24_0,esk23_0,esk23_0,esk22_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
fof(c_0_83,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])])]) ).
cnf(c_0_84,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_85,negated_conjecture,
cyclic(esk24_0,esk21_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_78,c_0_56]) ).
fof(c_0_86,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_87,negated_conjecture,
cyclic(esk25_0,esk21_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_88,negated_conjecture,
para(esk23_0,esk21_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
fof(c_0_89,plain,
! [X273,X274,X275,X276,X277,X278] :
( cong(X273,X274,X276,X277)
| ~ eqangle(X275,X273,X275,X274,X278,X276,X278,X277)
| ~ cyclic(X273,X274,X275,X278)
| ~ cyclic(X273,X274,X275,X277)
| ~ cyclic(X273,X274,X275,X276) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])])]) ).
cnf(c_0_90,plain,
( ~ cyclic(X1,X2,X3,X4)
| eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_91,negated_conjecture,
cyclic(esk24_0,esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_92,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_93,negated_conjecture,
cyclic(esk25_0,esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_84,c_0_87]) ).
cnf(c_0_94,negated_conjecture,
coll(esk23_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_50,c_0_88]) ).
fof(c_0_95,plain,
! [X137,X138,X139,X140] :
( cong(X137,X138,X140,X139)
| ~ cong(X137,X138,X139,X140) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).
cnf(c_0_96,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_89]) ).
cnf(c_0_97,negated_conjecture,
eqangle(esk21_0,esk24_0,esk21_0,esk25_0,esk25_0,esk24_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_98,negated_conjecture,
cyclic(esk24_0,esk25_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
fof(c_0_99,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_100,negated_conjecture,
coll(esk21_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_39,c_0_94]) ).
fof(c_0_101,plain,
! [X141,X142,X143,X144] :
( cong(X143,X144,X141,X142)
| ~ cong(X141,X142,X143,X144) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).
cnf(c_0_102,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_103,negated_conjecture,
cong(esk24_0,esk25_0,esk24_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_91]),c_0_98])]) ).
fof(c_0_104,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])])]) ).
cnf(c_0_105,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_99]) ).
fof(c_0_106,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])])]) ).
fof(c_0_107,plain,
! [X387,X388,X389] :
( midp(X387,X388,X389)
| ~ coll(X387,X388,X389)
| ~ cong(X387,X388,X387,X389) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).
cnf(c_0_108,negated_conjecture,
eqangle(esk24_0,esk22_0,esk22_0,esk23_0,esk24_0,esk22_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_109,negated_conjecture,
coll(esk22_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_53,c_0_100]) ).
cnf(c_0_110,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_111,negated_conjecture,
cong(esk24_0,esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_112,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_104]) ).
cnf(c_0_113,negated_conjecture,
eqangle(esk24_0,esk23_0,esk24_0,esk23_0,esk23_0,esk21_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_105,c_0_76]) ).
cnf(c_0_114,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_106]) ).
cnf(c_0_115,plain,
( ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_116,negated_conjecture,
eqangle(esk22_0,esk23_0,esk24_0,esk22_0,esk22_0,esk21_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_75,c_0_108]) ).
cnf(c_0_117,negated_conjecture,
coll(esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_44,c_0_56]) ).
cnf(c_0_118,negated_conjecture,
coll(esk25_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_39,c_0_109]) ).
fof(c_0_119,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_120,negated_conjecture,
cong(esk25_0,esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_121,negated_conjecture,
para(esk24_0,esk23_0,esk24_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_88])]) ).
cnf(c_0_122,negated_conjecture,
( ~ midp(X1,esk25_0,esk25_0)
| midp(X1,esk24_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_55]),c_0_55])]) ).
cnf(c_0_123,negated_conjecture,
midp(esk24_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_103]),c_0_54])]) ).
cnf(c_0_124,negated_conjecture,
eqangle(esk24_0,esk22_0,esk24_0,esk22_0,esk22_0,esk23_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_105,c_0_108]) ).
cnf(c_0_125,negated_conjecture,
para(esk22_0,esk23_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_81,c_0_116]) ).
cnf(c_0_126,negated_conjecture,
( ~ coll(esk25_0,esk21_0,X1)
| coll(X1,esk25_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_117]) ).
cnf(c_0_127,negated_conjecture,
coll(esk25_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_44,c_0_118]) ).
cnf(c_0_128,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_119]) ).
cnf(c_0_129,negated_conjecture,
cong(esk25_0,esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_102,c_0_120]) ).
fof(c_0_130,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_131,negated_conjecture,
( ~ midp(X1,esk24_0,esk24_0)
| midp(X1,esk23_0,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_121]),c_0_121])]) ).
cnf(c_0_132,negated_conjecture,
midp(esk24_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_133,negated_conjecture,
para(esk24_0,esk22_0,esk24_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_124]),c_0_125])]) ).
cnf(c_0_134,negated_conjecture,
coll(esk22_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
fof(c_0_135,plain,
! [X369,X370,X371,X372,X373] :
( para(X369,X371,X370,X372)
| ~ midp(X373,X371,X372)
| ~ midp(X373,X369,X370) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])]) ).
cnf(c_0_136,negated_conjecture,
( ~ coll(esk24_0,X1,esk24_0)
| ~ midp(esk25_0,X1,esk25_0)
| midp(esk24_0,X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_128,c_0_55]) ).
cnf(c_0_137,negated_conjecture,
( ~ midp(X1,esk24_0,esk24_0)
| midp(X1,esk25_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_51]),c_0_51])]) ).
cnf(c_0_138,negated_conjecture,
midp(esk25_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_129]),c_0_58])]) ).
cnf(c_0_139,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_140,negated_conjecture,
midp(esk24_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_141,negated_conjecture,
coll(esk25_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_39,c_0_65]) ).
cnf(c_0_142,negated_conjecture,
( ~ midp(X1,esk24_0,esk24_0)
| midp(X1,esk22_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_133]),c_0_133])]) ).
cnf(c_0_143,negated_conjecture,
coll(esk25_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_39,c_0_134]) ).
cnf(c_0_144,plain,
( ~ midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| para(X2,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_145,negated_conjecture,
( ~ midp(esk25_0,esk25_0,esk25_0)
| midp(esk24_0,esk25_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_136,c_0_61]) ).
cnf(c_0_146,negated_conjecture,
midp(esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_147,negated_conjecture,
cong(esk24_0,esk23_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_148,negated_conjecture,
( ~ coll(esk25_0,esk21_0,X1)
| coll(X1,esk23_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_40]) ).
cnf(c_0_149,negated_conjecture,
coll(esk25_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_44,c_0_141]) ).
cnf(c_0_150,negated_conjecture,
midp(esk24_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_142,c_0_132]) ).
cnf(c_0_151,negated_conjecture,
( ~ coll(esk25_0,esk25_0,X1)
| coll(X1,esk24_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_60]) ).
cnf(c_0_152,negated_conjecture,
coll(esk25_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_44,c_0_143]) ).
cnf(c_0_153,negated_conjecture,
( ~ midp(esk24_0,X1,X2)
| para(X1,esk25_0,X2,esk25_0) ),
inference(spm,[status(thm)],[c_0_144,c_0_123]) ).
cnf(c_0_154,negated_conjecture,
midp(esk24_0,esk25_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_146])]) ).
cnf(c_0_155,negated_conjecture,
cong(esk24_0,esk23_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_102,c_0_147]) ).
cnf(c_0_156,negated_conjecture,
coll(esk24_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_157,negated_conjecture,
cong(esk24_0,esk22_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_139,c_0_150]) ).
cnf(c_0_158,negated_conjecture,
coll(esk22_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_159,negated_conjecture,
para(esk25_0,esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_160,negated_conjecture,
cong(esk23_0,esk24_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_110,c_0_155]) ).
cnf(c_0_161,negated_conjecture,
coll(esk24_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_44,c_0_156]) ).
cnf(c_0_162,negated_conjecture,
cong(esk24_0,esk22_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_102,c_0_157]) ).
cnf(c_0_163,negated_conjecture,
coll(esk24_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_39,c_0_158]) ).
cnf(c_0_164,negated_conjecture,
para(esk25_0,esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_32,c_0_159]) ).
cnf(c_0_165,negated_conjecture,
cong(esk23_0,esk24_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_102,c_0_160]) ).
cnf(c_0_166,negated_conjecture,
coll(esk23_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_64,c_0_161]) ).
cnf(c_0_167,negated_conjecture,
para(esk22_0,esk23_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_32,c_0_125]) ).
cnf(c_0_168,negated_conjecture,
para(esk25_0,esk24_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_32,c_0_52]) ).
cnf(c_0_169,negated_conjecture,
cong(esk22_0,esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_110,c_0_162]) ).
cnf(c_0_170,negated_conjecture,
coll(esk24_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_44,c_0_163]) ).
fof(c_0_171,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_172,negated_conjecture,
para(esk25_0,esk24_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_36,c_0_164]) ).
cnf(c_0_173,negated_conjecture,
midp(esk23_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_165]),c_0_166])]) ).
cnf(c_0_174,negated_conjecture,
para(esk22_0,esk23_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_41,c_0_167]) ).
cnf(c_0_175,negated_conjecture,
para(esk22_0,esk21_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_36,c_0_168]) ).
cnf(c_0_176,negated_conjecture,
coll(esk21_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_39,c_0_62]) ).
cnf(c_0_177,negated_conjecture,
cong(esk22_0,esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_102,c_0_169]) ).
cnf(c_0_178,negated_conjecture,
coll(esk22_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_64,c_0_170]) ).
cnf(c_0_179,plain,
( ~ midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| para(X1,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_171]) ).
cnf(c_0_180,negated_conjecture,
( ~ midp(X1,esk25_0,esk25_0)
| midp(X1,esk25_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_172]),c_0_164])]) ).
cnf(c_0_181,negated_conjecture,
midp(esk23_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_137,c_0_173]) ).
cnf(c_0_182,negated_conjecture,
para(esk22_0,esk23_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_32,c_0_174]) ).
cnf(c_0_183,negated_conjecture,
( ~ coll(esk21_0,X1,esk24_0)
| ~ midp(esk22_0,X1,esk25_0)
| midp(esk21_0,X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_128,c_0_175]) ).
cnf(c_0_184,negated_conjecture,
coll(esk21_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_44,c_0_176]) ).
cnf(c_0_185,negated_conjecture,
midp(esk22_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_177]),c_0_178])]) ).
cnf(c_0_186,negated_conjecture,
( ~ midp(X1,esk25_0,X2)
| para(X1,esk24_0,X2,esk25_0) ),
inference(spm,[status(thm)],[c_0_179,c_0_123]) ).
cnf(c_0_187,negated_conjecture,
midp(esk23_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_188,negated_conjecture,
para(esk24_0,esk25_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_36,c_0_182]) ).
cnf(c_0_189,negated_conjecture,
( ~ midp(esk22_0,esk25_0,esk25_0)
| midp(esk21_0,esk25_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_190,negated_conjecture,
midp(esk22_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_137,c_0_185]) ).
cnf(c_0_191,negated_conjecture,
eqangle(esk21_0,esk22_0,X1,X2,esk24_0,esk25_0,X1,X2),
inference(spm,[status(thm)],[c_0_67,c_0_37]) ).
cnf(c_0_192,negated_conjecture,
para(esk23_0,esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_193,negated_conjecture,
para(esk24_0,esk25_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_32,c_0_188]) ).
cnf(c_0_194,negated_conjecture,
midp(esk21_0,esk25_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_190])]) ).
cnf(c_0_195,negated_conjecture,
para(esk22_0,esk21_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_36,c_0_125]) ).
cnf(c_0_196,negated_conjecture,
( ~ para(esk24_0,esk25_0,X1,X2)
| para(esk21_0,esk22_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_191]) ).
cnf(c_0_197,negated_conjecture,
para(esk24_0,esk25_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_36,c_0_192]) ).
cnf(c_0_198,negated_conjecture,
( ~ para(X1,X2,esk24_0,esk25_0)
| para(X1,X2,esk23_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_193]) ).
cnf(c_0_199,negated_conjecture,
para(esk21_0,esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_186,c_0_194]) ).
fof(c_0_200,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_201,negated_conjecture,
( ~ midp(X1,esk22_0,esk22_0)
| midp(X1,esk23_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_195]),c_0_125])]) ).
cnf(c_0_202,negated_conjecture,
para(esk24_0,esk25_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_32,c_0_42]) ).
cnf(c_0_203,negated_conjecture,
para(esk21_0,esk22_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_204,negated_conjecture,
para(esk21_0,esk24_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_205,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_200]) ).
cnf(c_0_206,negated_conjecture,
midp(esk24_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_201,c_0_150]) ).
cnf(c_0_207,negated_conjecture,
( ~ coll(esk25_0,X1,esk21_0)
| ~ midp(esk24_0,X1,esk22_0)
| midp(esk25_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_128,c_0_202]) ).
cnf(c_0_208,negated_conjecture,
( ~ midp(X1,esk21_0,esk23_0)
| midp(X1,esk24_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_203]),c_0_204])]) ).
cnf(c_0_209,negated_conjecture,
midp(esk24_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_210,negated_conjecture,
( ~ midp(esk24_0,esk24_0,esk22_0)
| midp(esk25_0,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_207,c_0_141]) ).
cnf(c_0_211,negated_conjecture,
midp(esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_212,negated_conjecture,
midp(esk25_0,esk24_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_211])]) ).
cnf(c_0_213,negated_conjecture,
~ cong(esk25_0,esk24_0,esk25_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_214,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_212]),c_0_213]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO578+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n020.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 17:38:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 1.27/0.61 % Version: 3.5.1
% 1.27/0.61 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.27/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.27/0.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.27/0.61 % Starting new_bool_3 with 300s (1) cores
% 1.27/0.61 % Starting new_bool_1 with 300s (1) cores
% 1.27/0.61 % Starting sh5l with 300s (1) cores
% 1.27/0.61 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 888675 completed with status 0
% 1.27/0.61 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.27/0.61 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.27/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.27/0.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.27/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.27/0.61 % No SInE strategy applied
% 1.27/0.61 % Search class: FGUSF-FFLS33-SFFFFFNN
% 1.27/0.61 % partial match(1): FGUSF-FFLS32-SFFFFFNN
% 1.27/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.27/0.61 % Starting SubtermCWHack with 136s (1) cores
% 1.27/0.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.27/0.61 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 1.27/0.61 % Starting new_bool_3 with 136s (1) cores
% 1.27/0.61 % Starting new_bool_1 with 136s (1) cores
% 1.27/0.61 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 888683 completed with status 0
% 1.27/0.61 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.27/0.61 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.27/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.27/0.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.27/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.27/0.61 % No SInE strategy applied
% 1.27/0.61 % Search class: FGUSF-FFLS33-SFFFFFNN
% 1.27/0.61 % partial match(1): FGUSF-FFLS32-SFFFFFNN
% 1.27/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.27/0.61 % Starting SubtermCWHack with 136s (1) cores
% 1.27/0.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.27/0.61 % Preprocessing time : 0.002 s
% 1.27/0.61 % Presaturation interreduction done
% 1.27/0.61
% 1.27/0.61 % Proof found!
% 1.27/0.61 % SZS status Theorem
% 1.27/0.61 % SZS output start CNFRefutation
% See solution above
% 1.27/0.61 % Parsed axioms : 95
% 1.27/0.61 % Removed by relevancy pruning/SinE : 0
% 1.27/0.61 % Initial clauses : 119
% 1.27/0.61 % Removed in clause preprocessing : 0
% 1.27/0.61 % Initial clauses in saturation : 119
% 1.27/0.61 % Processed clauses : 2681
% 1.27/0.61 % ...of these trivial : 416
% 1.27/0.61 % ...subsumed : 86
% 1.27/0.61 % ...remaining for further processing : 2179
% 1.27/0.61 % Other redundant clauses eliminated : 0
% 1.27/0.61 % Clauses deleted for lack of memory : 0
% 1.27/0.61 % Backward-subsumed : 14
% 1.27/0.61 % Backward-rewritten : 124
% 1.27/0.61 % Generated clauses : 11332
% 1.27/0.61 % ...of the previous two non-redundant : 7851
% 1.27/0.61 % ...aggressively subsumed : 0
% 1.27/0.61 % Contextual simplify-reflections : 6
% 1.27/0.61 % Paramodulations : 11332
% 1.27/0.61 % Factorizations : 0
% 1.27/0.61 % NegExts : 0
% 1.27/0.61 % Equation resolutions : 0
% 1.27/0.61 % Disequality decompositions : 0
% 1.27/0.61 % Total rewrite steps : 4430
% 1.27/0.61 % ...of those cached : 3394
% 1.27/0.61 % Propositional unsat checks : 0
% 1.27/0.61 % Propositional check models : 0
% 1.27/0.61 % Propositional check unsatisfiable : 0
% 1.27/0.61 % Propositional clauses : 0
% 1.27/0.61 % Propositional clauses after purity: 0
% 1.27/0.61 % Propositional unsat core size : 0
% 1.27/0.61 % Propositional preprocessing time : 0.000
% 1.27/0.61 % Propositional encoding time : 0.000
% 1.27/0.61 % Propositional solver time : 0.000
% 1.27/0.61 % Success case prop preproc time : 0.000
% 1.27/0.61 % Success case prop encoding time : 0.000
% 1.27/0.61 % Success case prop solver time : 0.000
% 1.27/0.61 % Current number of processed clauses : 1923
% 1.27/0.61 % Positive orientable unit clauses : 1070
% 1.27/0.61 % Positive unorientable unit clauses: 0
% 1.27/0.61 % Negative unit clauses : 1
% 1.27/0.61 % Non-unit-clauses : 852
% 1.27/0.61 % Current number of unprocessed clauses: 5407
% 1.27/0.61 % ...number of literals in the above : 12961
% 1.27/0.61 % Current number of archived formulas : 0
% 1.27/0.61 % Current number of archived clauses : 256
% 1.27/0.61 % Clause-clause subsumption calls (NU) : 73592
% 1.27/0.61 % Rec. Clause-clause subsumption calls : 55959
% 1.27/0.61 % Non-unit clause-clause subsumptions : 106
% 1.27/0.61 % Unit Clause-clause subsumption calls : 12651
% 1.27/0.61 % Rewrite failures with RHS unbound : 0
% 1.27/0.61 % BW rewrite match attempts : 8221
% 1.27/0.61 % BW rewrite match successes : 47
% 1.27/0.61 % Condensation attempts : 0
% 1.27/0.61 % Condensation successes : 0
% 1.27/0.61 % Termbank termtop insertions : 161568
% 1.27/0.61 % Search garbage collected termcells : 2791
% 1.27/0.61
% 1.27/0.61 % -------------------------------------------------
% 1.27/0.61 % User time : 0.146 s
% 1.27/0.61 % System time : 0.020 s
% 1.27/0.61 % Total time : 0.166 s
% 1.27/0.61 % Maximum resident set size: 4304 pages
% 1.27/0.61
% 1.27/0.61 % -------------------------------------------------
% 1.27/0.61 % User time : 0.582 s
% 1.27/0.61 % System time : 0.048 s
% 1.27/0.61 % Total time : 0.629 s
% 1.27/0.61 % Maximum resident set size: 4864 pages
% 1.27/0.61 % E exiting
%------------------------------------------------------------------------------