%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO629+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 : n012.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 12:28:38 PM UTC 2026
% Result : Theorem 2.33s 0.66s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 26
% Syntax : Number of formulae : 125 ( 31 unt; 0 def)
% Number of atoms : 313 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 298 ( 110 ~; 107 |; 54 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-6 aty)
% Number of variables : 488 ( 38 sgn 258 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL8110992,conjecture,
! [X1,X2,X3,X8,X19,X20,X21,X9,X6,X13,X22,X23,X24,X25] :
( ( circle(X8,X1,X22,X25)
& para(X20,X21,X22,X9)
& coll(X13,X1,X2)
& perp(X13,X9,X1,X2)
& coll(X6,X1,X3)
& perp(X6,X9,X1,X3)
& circle(X8,X1,X9,X24)
& coll(X21,X1,X2)
& perp(X21,X19,X1,X2)
& coll(X20,X1,X3)
& perp(X20,X19,X1,X3)
& circle(X8,X1,X19,X23)
& circle(X8,X1,X2,X3) )
=> para(X22,X19,X13,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110992) ).
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(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(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(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X17,X3,X4)
& midp(X7,X1,X2) )
=> ( para(X9,X17,X1,X3)
& para(X9,X7,X2,X4)
& midp(X9,X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X6,X1,X3)
& midp(X5,X1,X2) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(c_0_26,negated_conjecture,
~ ! [X1,X2,X3,X8,X19,X20,X21,X9,X6,X13,X22,X23,X24,X25] :
( ( circle(X8,X1,X22,X25)
& para(X20,X21,X22,X9)
& coll(X13,X1,X2)
& perp(X13,X9,X1,X2)
& coll(X6,X1,X3)
& perp(X6,X9,X1,X3)
& circle(X8,X1,X9,X24)
& coll(X21,X1,X2)
& perp(X21,X19,X1,X2)
& coll(X20,X1,X3)
& perp(X20,X19,X1,X3)
& circle(X8,X1,X19,X23)
& circle(X8,X1,X2,X3) )
=> para(X22,X19,X13,X6) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110992]) ).
fof(c_0_27,plain,
! [X36,X37,X38,X39] :
( para(X36,X37,X39,X38)
| ~ para(X36,X37,X38,X39) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
fof(c_0_28,negated_conjecture,
( ~ para(esk31_0,esk25_0,esk30_0,esk29_0)
& circle(esk24_0,esk21_0,esk31_0,esk34_0)
& para(esk26_0,esk27_0,esk31_0,esk28_0)
& coll(esk30_0,esk21_0,esk22_0)
& perp(esk30_0,esk28_0,esk21_0,esk22_0)
& coll(esk29_0,esk21_0,esk23_0)
& perp(esk29_0,esk28_0,esk21_0,esk23_0)
& circle(esk24_0,esk21_0,esk28_0,esk33_0)
& coll(esk27_0,esk21_0,esk22_0)
& perp(esk27_0,esk25_0,esk21_0,esk22_0)
& coll(esk26_0,esk21_0,esk23_0)
& perp(esk26_0,esk25_0,esk21_0,esk23_0)
& circle(esk24_0,esk21_0,esk25_0,esk32_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_26])])])]) ).
fof(c_0_29,plain,
! [X44,X45,X46,X47,X48,X49] :
( para(X44,X45,X48,X49)
| ~ para(X46,X47,X48,X49)
| ~ para(X44,X45,X46,X47) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])])]) ).
cnf(c_0_30,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,negated_conjecture,
para(esk26_0,esk27_0,esk31_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_32,plain,
! [X40,X41,X42,X43] :
( para(X42,X43,X40,X41)
| ~ para(X40,X41,X42,X43) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
fof(c_0_33,plain,
! [X107,X108,X109,X110,X111,X112,X113,X114] :
( eqangle(X109,X110,X107,X108,X113,X114,X111,X112)
| ~ eqangle(X107,X108,X109,X110,X111,X112,X113,X114) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_34,plain,
! [X261,X262,X263,X264,X265,X266] :
( eqangle(X261,X262,X265,X266,X263,X264,X265,X266)
| ~ para(X261,X262,X263,X264) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
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_29]) ).
cnf(c_0_36,negated_conjecture,
para(esk26_0,esk27_0,esk28_0,esk31_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,plain,
( ~ para(X1,X2,X3,X4)
| para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_38,plain,
! [X255,X256,X257,X258,X259,X260] :
( para(X255,X256,X257,X258)
| ~ eqangle(X255,X256,X259,X260,X257,X258,X259,X260) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_39,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_33]) ).
cnf(c_0_40,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( ~ para(X1,X2,esk26_0,esk27_0)
| para(X1,X2,esk28_0,esk31_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
para(esk31_0,esk28_0,esk26_0,esk27_0),
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
cnf(c_0_43,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,plain,
( ~ para(X3,X4,X5,X6)
| eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
para(esk31_0,esk28_0,esk28_0,esk31_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_46,plain,
! [X390,X391,X392] :
( coll(X390,X391,X392)
| ~ para(X390,X391,X390,X392) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_47,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
para(esk31_0,esk28_0,esk31_0,esk28_0),
inference(spm,[status(thm)],[c_0_30,c_0_45]) ).
fof(c_0_49,plain,
! [X29,X30,X31] :
( coll(X30,X29,X31)
| ~ coll(X29,X30,X31) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
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(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_52,plain,
! [X26,X27,X28] :
( coll(X26,X28,X27)
| ~ coll(X26,X27,X28) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_53,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_55,plain,
! [X275,X276,X277,X278] :
( cyclic(X275,X276,X277,X278)
| ~ coll(X277,X278,X276)
| ~ eqangle(X277,X275,X277,X276,X278,X275,X278,X276) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
fof(c_0_56,plain,
! [X32,X33,X34,X35] :
( coll(X34,X35,X32)
| ~ coll(X32,X33,X35)
| ~ coll(X32,X33,X34) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_57,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_58,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,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_55]) ).
cnf(c_0_60,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_61,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_62,plain,
! [X86,X87,X88,X89] :
( cyclic(X86,X88,X87,X89)
| ~ cyclic(X86,X87,X88,X89) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).
cnf(c_0_63,plain,
( ~ coll(X3,X3,X2)
| ~ para(X3,X1,X3,X1)
| cyclic(X1,X2,X3,X3) ),
inference(spm,[status(thm)],[c_0_59,c_0_40]) ).
cnf(c_0_64,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_61])]) ).
fof(c_0_65,plain,
! [X82,X83,X84,X85] :
( cyclic(X82,X83,X85,X84)
| ~ cyclic(X82,X83,X84,X85) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).
cnf(c_0_66,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_67,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_51])]),c_0_64])]) ).
fof(c_0_68,plain,
! [X316,X317,X318,X319,X320] :
( midp(X320,X317,X318)
| ~ eqangle(X316,X317,X316,X318,X319,X317,X319,X320)
| ~ coll(X320,X317,X318)
| ~ circle(X319,X316,X317,X318) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])])]) ).
fof(c_0_69,plain,
! [X267,X268,X269,X270] :
( eqangle(X269,X267,X269,X268,X270,X267,X270,X268)
| ~ cyclic(X267,X268,X269,X270) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).
fof(c_0_70,plain,
! [X90,X91,X92,X93] :
( cyclic(X91,X90,X92,X93)
| ~ cyclic(X90,X91,X92,X93) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).
cnf(c_0_71,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_72,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,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_68]) ).
cnf(c_0_74,plain,
( ~ cyclic(X1,X2,X3,X4)
| eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_75,plain,
! [X94,X95,X96,X97,X98] :
( cyclic(X95,X96,X97,X98)
| ~ cyclic(X94,X95,X96,X98)
| ~ cyclic(X94,X95,X96,X97) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_76,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_77,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
fof(c_0_78,plain,
! [X290,X291,X292,X293,X294] :
( midp(X294,X290,X292)
| ~ coll(X294,X290,X292)
| ~ para(X293,X294,X291,X292)
| ~ midp(X293,X290,X291) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_79,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_73,c_0_74]) ).
cnf(c_0_80,plain,
( ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_81,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,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_78]) ).
cnf(c_0_83,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_79,c_0_58])]) ).
cnf(c_0_84,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_81])]) ).
cnf(c_0_85,plain,
( ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_64])]) ).
cnf(c_0_86,plain,
( ~ circle(X3,X4,X2,X1)
| midp(X1,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).
cnf(c_0_87,negated_conjecture,
circle(esk24_0,esk21_0,esk31_0,esk34_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_88,plain,
! [X70,X71,X72] :
( midp(X72,X70,X71)
| ~ midp(X72,X71,X70) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
cnf(c_0_89,negated_conjecture,
( ~ midp(X3,X2,X3)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_51]) ).
cnf(c_0_90,negated_conjecture,
midp(esk34_0,esk31_0,esk34_0),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
fof(c_0_91,plain,
! [X416,X417,X418,X419,X420,X421,X422,X423] :
( para(X416,X417,X418,X419)
| ~ para(X420,X421,X422,X423)
| ~ eqangle(X416,X417,X418,X419,X420,X421,X422,X423) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_92,plain,
! [X295,X296,X297] :
( eqangle(X297,X295,X295,X296,X295,X296,X297,X296)
| ~ cong(X297,X295,X297,X296) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
fof(c_0_93,plain,
! [X396,X397,X398] :
( cong(X396,X397,X396,X398)
| ~ midp(X396,X397,X398) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_94,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_95,negated_conjecture,
midp(X1,esk31_0,X1),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_96,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_91]) ).
cnf(c_0_97,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_98,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_99,negated_conjecture,
midp(X1,X1,esk31_0),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_100,plain,
( ~ para(X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3)
| para(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_101,negated_conjecture,
cong(X1,X1,X1,esk31_0),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
fof(c_0_102,plain,
! [X380,X381,X382,X383,X384] :
( midp(X384,X382,X383)
| ~ para(X380,X383,X381,X382)
| ~ para(X380,X382,X381,X383)
| ~ midp(X384,X380,X381) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_103,negated_conjecture,
para(X1,X1,X1,esk31_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_51])]) ).
cnf(c_0_104,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_102]) ).
cnf(c_0_105,negated_conjecture,
( ~ midp(X1,X2,X1)
| midp(X1,X2,esk31_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_103]) ).
fof(c_0_106,plain,
! [X466,X467,X468,X469,X470,X471] :
( ( ~ midp(X471,X468,X469)
| ~ midp(X470,X466,X467)
| para(esk6_6(X466,X467,X468,X469,X470,X471),X471,X466,X468) )
& ( ~ midp(X471,X468,X469)
| ~ midp(X470,X466,X467)
| para(esk6_6(X466,X467,X468,X469,X470,X471),X470,X467,X469) )
& ( ~ midp(X471,X468,X469)
| ~ midp(X470,X466,X467)
| midp(esk6_6(X466,X467,X468,X469,X470,X471),X466,X469) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])])]) ).
cnf(c_0_107,negated_conjecture,
( ~ midp(X1,X3,X3)
| midp(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_51]),c_0_51])]) ).
cnf(c_0_108,negated_conjecture,
midp(X1,esk31_0,esk31_0),
inference(spm,[status(thm)],[c_0_105,c_0_95]) ).
cnf(c_0_109,plain,
( ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2)
| para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_110,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_111,plain,
( ~ coll(X1,X2,X3)
| ~ midp(X1,X4,X5)
| ~ midp(X7,X6,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_89,c_0_110]) ).
cnf(c_0_113,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_30,c_0_51]) ).
cnf(c_0_114,plain,
( ~ midp(X1,X4,X5)
| ~ midp(X7,X6,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_64])]) ).
cnf(c_0_115,negated_conjecture,
midp(X1,X2,esk31_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_112])]) ).
cnf(c_0_116,negated_conjecture,
( ~ midp(X3,X2,X1)
| midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_85,c_0_113]) ).
fof(c_0_117,plain,
! [X285,X286,X287,X288,X289] :
( para(X288,X289,X286,X287)
| ~ midp(X289,X285,X287)
| ~ midp(X288,X285,X286) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).
cnf(c_0_118,negated_conjecture,
( ~ midp(X4,X5,X3)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_115])]) ).
cnf(c_0_119,negated_conjecture,
midp(esk31_0,X1,X2),
inference(spm,[status(thm)],[c_0_116,c_0_115]) ).
cnf(c_0_120,plain,
( ~ midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| para(X1,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_121,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,negated_conjecture,
~ para(esk31_0,esk25_0,esk30_0,esk29_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_123,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121]),c_0_121])]) ).
cnf(c_0_124,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO629+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 20 18:06:23 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.32 Running first-order theorem proving
% 0.07/0.32 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
% 2.33/0.66 % Version: 3.5.1
% 2.33/0.66 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.33/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.33/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.33/0.66 % Starting new_bool_3 with 300s (1) cores
% 2.33/0.66 % Starting new_bool_1 with 300s (1) cores
% 2.33/0.66 % Starting sh5l with 300s (1) cores
% 2.33/0.66 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 592693 completed with status 0
% 2.33/0.66 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.33/0.66 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.33/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.33/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.33/0.66 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.33/0.66 % No SInE strategy applied
% 2.33/0.66 % Search class: FGUSF-FFLM33-SFFFFFNN
% 2.33/0.66 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.33/0.66 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.33/0.66 % Starting SubtermCWHack with 136s (1) cores
% 2.33/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.33/0.66 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.33/0.66 % Starting new_bool_3 with 136s (1) cores
% 2.33/0.66 % Starting new_bool_1 with 136s (1) cores
% 2.33/0.66 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 592701 completed with status 0
% 2.33/0.66 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 2.33/0.66 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.33/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.33/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.33/0.66 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.33/0.66 % No SInE strategy applied
% 2.33/0.66 % Search class: FGUSF-FFLM33-SFFFFFNN
% 2.33/0.66 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.33/0.66 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.33/0.66 % Starting SubtermCWHack with 136s (1) cores
% 2.33/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.33/0.66 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.33/0.66 % Preprocessing time : 0.002 s
% 2.33/0.66 % Presaturation interreduction done
% 2.33/0.66
% 2.33/0.66 % Proof found!
% 2.33/0.66 % SZS status Theorem
% 2.33/0.66 % SZS output start CNFRefutation
% See solution above
% 2.33/0.66 % Parsed axioms : 95
% 2.33/0.66 % Removed by relevancy pruning/SinE : 0
% 2.33/0.66 % Initial clauses : 127
% 2.33/0.66 % Removed in clause preprocessing : 0
% 2.33/0.66 % Initial clauses in saturation : 127
% 2.33/0.66 % Processed clauses : 4488
% 2.33/0.66 % ...of these trivial : 675
% 2.33/0.66 % ...subsumed : 124
% 2.33/0.66 % ...remaining for further processing : 3689
% 2.33/0.66 % Other redundant clauses eliminated : 0
% 2.33/0.66 % Clauses deleted for lack of memory : 0
% 2.33/0.66 % Backward-subsumed : 11
% 2.33/0.66 % Backward-rewritten : 3308
% 2.33/0.66 % Generated clauses : 28500
% 2.33/0.66 % ...of the previous two non-redundant : 14159
% 2.33/0.66 % ...aggressively subsumed : 0
% 2.33/0.66 % Contextual simplify-reflections : 3
% 2.33/0.66 % Paramodulations : 28500
% 2.33/0.66 % Factorizations : 0
% 2.33/0.66 % NegExts : 0
% 2.33/0.66 % Equation resolutions : 0
% 2.33/0.66 % Disequality decompositions : 0
% 2.33/0.66 % Total rewrite steps : 19658
% 2.33/0.66 % ...of those cached : 15347
% 2.33/0.66 % Propositional unsat checks : 0
% 2.33/0.66 % Propositional check models : 0
% 2.33/0.66 % Propositional check unsatisfiable : 0
% 2.33/0.66 % Propositional clauses : 0
% 2.33/0.66 % Propositional clauses after purity: 0
% 2.33/0.66 % Propositional unsat core size : 0
% 2.33/0.66 % Propositional preprocessing time : 0.000
% 2.33/0.66 % Propositional encoding time : 0.000
% 2.33/0.66 % Propositional solver time : 0.000
% 2.33/0.66 % Success case prop preproc time : 0.000
% 2.33/0.66 % Success case prop encoding time : 0.000
% 2.33/0.66 % Success case prop solver time : 0.000
% 2.33/0.66 % Current number of processed clauses : 244
% 2.33/0.66 % Positive orientable unit clauses : 116
% 2.33/0.66 % Positive unorientable unit clauses: 0
% 2.33/0.66 % Negative unit clauses : 0
% 2.33/0.66 % Non-unit-clauses : 128
% 2.33/0.66 % Current number of unprocessed clauses: 9211
% 2.33/0.66 % ...number of literals in the above : 30127
% 2.33/0.66 % Current number of archived formulas : 0
% 2.33/0.66 % Current number of archived clauses : 3445
% 2.33/0.66 % Clause-clause subsumption calls (NU) : 208732
% 2.33/0.66 % Rec. Clause-clause subsumption calls : 188657
% 2.33/0.66 % Non-unit clause-clause subsumptions : 138
% 2.33/0.66 % Unit Clause-clause subsumption calls : 221047
% 2.33/0.66 % Rewrite failures with RHS unbound : 0
% 2.33/0.66 % BW rewrite match attempts : 20781
% 2.33/0.66 % BW rewrite match successes : 2439
% 2.33/0.66 % Condensation attempts : 0
% 2.33/0.66 % Condensation successes : 0
% 2.33/0.66 % Termbank termtop insertions : 302312
% 2.33/0.66 % Search garbage collected termcells : 2904
% 2.33/0.66
% 2.33/0.66 % -------------------------------------------------
% 2.33/0.66 % User time : 0.300 s
% 2.33/0.66 % System time : 0.013 s
% 2.33/0.66 % Total time : 0.313 s
% 2.33/0.66 % Maximum resident set size: 4308 pages
% 2.33/0.66
% 2.33/0.66 % -------------------------------------------------
% 2.33/0.66 % User time : 1.482 s
% 2.33/0.66 % System time : 0.077 s
% 2.33/0.66 % Total time : 1.558 s
% 2.33/0.66 % Maximum resident set size: 5120 pages
% 2.33/0.66 % E exiting
%------------------------------------------------------------------------------