%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO652+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 : n014.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 12:28:41 PM UTC 2026
% Result : Theorem 5.95s 1.23s
% Output : CNFRefutation 5.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 27
% Syntax : Number of formulae : 126 ( 28 unt; 0 def)
% Number of atoms : 321 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 308 ( 113 ~; 110 |; 57 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 24 ( 24 usr; 22 con; 0-6 aty)
% Number of variables : 525 ( 40 sgn 282 !; 2 ?)
% 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(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(exemplo6GDDFULLmoreE02213,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32] :
( ( circle(X3,X2,X20,X32)
& coll(X2,X13,X20)
& circle(X3,X4,X19,X31)
& coll(X4,X14,X19)
& circle(X1,X2,X14,X30)
& coll(X2,X6,X14)
& circle(X1,X4,X13,X29)
& coll(X4,X5,X13)
& circle(X3,X2,X6,X28)
& circle(X3,X2,X5,X27)
& circle(X3,X2,X4,X26)
& circle(X1,X2,X4,X25)
& circle(X3,X2,X23,X24)
& circle(X1,X2,X21,X22) )
=> para(X5,X6,X19,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02213) ).
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(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(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(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(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(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_27,plain,
! [X65,X66,X67,X68,X69,X70] :
( para(X65,X66,X69,X70)
| ~ perp(X67,X68,X69,X70)
| ~ perp(X65,X66,X67,X68) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
fof(c_0_28,plain,
! [X507,X508,X509,X510] :
( perp(esk12_4(X507,X508,X509,X510),X507,X507,X510)
| ~ circle(X510,X507,X508,X509) ),
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_29,plain,
! [X61,X62,X63,X64] :
( perp(X63,X64,X61,X62)
| ~ perp(X61,X62,X63,X64) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
fof(c_0_30,plain,
! [X114,X115,X116,X117,X118,X119,X120,X121] :
( eqangle(X116,X117,X114,X115,X120,X121,X118,X119)
| ~ eqangle(X114,X115,X116,X117,X118,X119,X120,X121) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_31,plain,
! [X268,X269,X270,X271,X272,X273] :
( eqangle(X268,X269,X272,X273,X270,X271,X272,X273)
| ~ para(X268,X269,X270,X271) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
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_27]) ).
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_28]) ).
cnf(c_0_34,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_35,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32] :
( ( circle(X3,X2,X20,X32)
& coll(X2,X13,X20)
& circle(X3,X4,X19,X31)
& coll(X4,X14,X19)
& circle(X1,X2,X14,X30)
& coll(X2,X6,X14)
& circle(X1,X4,X13,X29)
& coll(X4,X5,X13)
& circle(X3,X2,X6,X28)
& circle(X3,X2,X5,X27)
& circle(X3,X2,X4,X26)
& circle(X1,X2,X4,X25)
& circle(X3,X2,X23,X24)
& circle(X1,X2,X21,X22) )
=> para(X5,X6,X19,X20) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE02213]) ).
fof(c_0_36,plain,
! [X262,X263,X264,X265,X266,X267] :
( para(X262,X263,X264,X265)
| ~ eqangle(X262,X263,X266,X267,X264,X265,X266,X267) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_37,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,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_40,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_41,negated_conjecture,
( ~ para(esk25_0,esk26_0,esk29_0,esk30_0)
& circle(esk23_0,esk22_0,esk30_0,esk42_0)
& coll(esk22_0,esk27_0,esk30_0)
& circle(esk23_0,esk24_0,esk29_0,esk41_0)
& coll(esk24_0,esk28_0,esk29_0)
& circle(esk21_0,esk22_0,esk28_0,esk40_0)
& coll(esk22_0,esk26_0,esk28_0)
& circle(esk21_0,esk24_0,esk27_0,esk39_0)
& coll(esk24_0,esk25_0,esk27_0)
& circle(esk23_0,esk22_0,esk26_0,esk38_0)
& circle(esk23_0,esk22_0,esk25_0,esk37_0)
& circle(esk23_0,esk22_0,esk24_0,esk36_0)
& circle(esk21_0,esk22_0,esk24_0,esk35_0)
& circle(esk23_0,esk22_0,esk33_0,esk34_0)
& circle(esk21_0,esk22_0,esk31_0,esk32_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).
cnf(c_0_42,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,plain,
( ~ para(X3,X4,X5,X6)
| eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,plain,
( ~ circle(X2,X1,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
circle(esk23_0,esk24_0,esk29_0,esk41_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_46,plain,
! [X397,X398,X399] :
( coll(X397,X398,X399)
| ~ para(X397,X398,X397,X399) ),
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_42,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
para(esk24_0,esk23_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
fof(c_0_49,plain,
! [X36,X37,X38] :
( coll(X37,X36,X38)
| ~ coll(X36,X37,X38) ),
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,
! [X33,X34,X35] :
( coll(X33,X35,X34)
| ~ coll(X33,X34,X35) ),
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,
! [X282,X283,X284,X285] :
( cyclic(X282,X283,X284,X285)
| ~ coll(X284,X285,X283)
| ~ eqangle(X284,X282,X284,X283,X285,X282,X285,X283) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
fof(c_0_56,plain,
! [X39,X40,X41,X42] :
( coll(X41,X42,X39)
| ~ coll(X39,X40,X42)
| ~ coll(X39,X40,X41) ),
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,
! [X93,X94,X95,X96] :
( cyclic(X93,X95,X94,X96)
| ~ cyclic(X93,X94,X95,X96) ),
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_38]) ).
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,
! [X89,X90,X91,X92] :
( cyclic(X89,X90,X92,X91)
| ~ cyclic(X89,X90,X91,X92) ),
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,
! [X97,X98,X99,X100] :
( cyclic(X98,X97,X99,X100)
| ~ cyclic(X97,X98,X99,X100) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).
cnf(c_0_69,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_70,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_71,plain,
! [X323,X324,X325,X326,X327] :
( midp(X327,X324,X325)
| ~ eqangle(X323,X324,X323,X325,X326,X324,X326,X327)
| ~ coll(X327,X324,X325)
| ~ circle(X326,X323,X324,X325) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])])]) ).
fof(c_0_72,plain,
! [X274,X275,X276,X277] :
( eqangle(X276,X274,X276,X275,X277,X274,X277,X275)
| ~ cyclic(X274,X275,X276,X277) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).
fof(c_0_73,plain,
! [X101,X102,X103,X104,X105] :
( cyclic(X102,X103,X104,X105)
| ~ cyclic(X101,X102,X103,X105)
| ~ cyclic(X101,X102,X103,X104) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_74,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_76,plain,
! [X297,X298,X299,X300,X301] :
( midp(X301,X297,X299)
| ~ coll(X301,X297,X299)
| ~ para(X300,X301,X298,X299)
| ~ midp(X300,X297,X298) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_77,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_71]) ).
cnf(c_0_78,plain,
( ~ cyclic(X1,X2,X3,X4)
| eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_79,plain,
( ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_80,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_81,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_76]) ).
cnf(c_0_82,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_77,c_0_78]) ).
cnf(c_0_83,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_80])]) ).
cnf(c_0_84,plain,
( ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_64])]) ).
cnf(c_0_85,plain,
( ~ circle(X3,X4,X2,X1)
| midp(X1,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_58])]),c_0_83])]) ).
cnf(c_0_86,negated_conjecture,
circle(esk23_0,esk22_0,esk30_0,esk42_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_87,plain,
! [X77,X78,X79] :
( midp(X79,X77,X78)
| ~ midp(X79,X78,X77) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
cnf(c_0_88,negated_conjecture,
( ~ midp(X3,X2,X3)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_51]) ).
cnf(c_0_89,negated_conjecture,
midp(esk42_0,esk30_0,esk42_0),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
fof(c_0_90,plain,
! [X423,X424,X425,X426,X427,X428,X429,X430] :
( para(X423,X424,X425,X426)
| ~ para(X427,X428,X429,X430)
| ~ eqangle(X423,X424,X425,X426,X427,X428,X429,X430) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_91,plain,
! [X302,X303,X304] :
( eqangle(X304,X302,X302,X303,X302,X303,X304,X303)
| ~ cong(X304,X302,X304,X303) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
fof(c_0_92,plain,
! [X403,X404,X405] :
( cong(X403,X404,X403,X405)
| ~ midp(X403,X404,X405) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_93,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_94,negated_conjecture,
midp(X1,esk30_0,X1),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_95,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_90]) ).
cnf(c_0_96,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_97,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_98,negated_conjecture,
midp(X1,X1,esk30_0),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_99,plain,
( ~ para(X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3)
| para(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_100,negated_conjecture,
cong(X1,X1,X1,esk30_0),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
fof(c_0_101,plain,
! [X387,X388,X389,X390,X391] :
( midp(X391,X389,X390)
| ~ para(X387,X390,X388,X389)
| ~ para(X387,X389,X388,X390)
| ~ midp(X391,X387,X388) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_102,negated_conjecture,
para(X1,X1,X1,esk30_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_51])]) ).
cnf(c_0_103,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_101]) ).
cnf(c_0_104,negated_conjecture,
( ~ midp(X1,X2,X1)
| midp(X1,X2,esk30_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_102]) ).
fof(c_0_105,plain,
! [X473,X474,X475,X476,X477,X478] :
( ( ~ midp(X478,X475,X476)
| ~ midp(X477,X473,X474)
| para(esk6_6(X473,X474,X475,X476,X477,X478),X478,X473,X475) )
& ( ~ midp(X478,X475,X476)
| ~ midp(X477,X473,X474)
| para(esk6_6(X473,X474,X475,X476,X477,X478),X477,X474,X476) )
& ( ~ midp(X478,X475,X476)
| ~ midp(X477,X473,X474)
| midp(esk6_6(X473,X474,X475,X476,X477,X478),X473,X476) ) ),
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_106,negated_conjecture,
( ~ midp(X1,X3,X3)
| midp(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_51]),c_0_51])]) ).
cnf(c_0_107,negated_conjecture,
midp(X1,esk30_0,esk30_0),
inference(spm,[status(thm)],[c_0_104,c_0_94]) ).
fof(c_0_108,plain,
! [X43,X44,X45,X46] :
( para(X43,X44,X46,X45)
| ~ para(X43,X44,X45,X46) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
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_105]) ).
cnf(c_0_110,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_112,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_81,c_0_109]) ).
cnf(c_0_113,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_88,c_0_110]) ).
cnf(c_0_114,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_111,c_0_51]) ).
cnf(c_0_115,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_112,c_0_64])]) ).
cnf(c_0_116,negated_conjecture,
midp(X1,X2,esk30_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_113])]) ).
cnf(c_0_117,negated_conjecture,
( ~ midp(X3,X2,X1)
| midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_84,c_0_114]) ).
fof(c_0_118,plain,
! [X292,X293,X294,X295,X296] :
( para(X295,X296,X293,X294)
| ~ midp(X296,X292,X294)
| ~ midp(X295,X292,X293) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).
cnf(c_0_119,negated_conjecture,
( ~ midp(X4,X5,X3)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_116])]) ).
cnf(c_0_120,negated_conjecture,
midp(esk30_0,X1,X2),
inference(spm,[status(thm)],[c_0_117,c_0_116]) ).
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_118]) ).
cnf(c_0_122,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_123,negated_conjecture,
~ para(esk25_0,esk26_0,esk29_0,esk30_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_124,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122]),c_0_122])]) ).
cnf(c_0_125,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO652+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 18:12:49 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 5.95/1.23 % Version: 3.5.1
% 5.95/1.23 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.95/1.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.95/1.23 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.95/1.23 % Starting new_bool_3 with 300s (1) cores
% 5.95/1.23 % Starting new_bool_1 with 300s (1) cores
% 5.95/1.23 % Starting sh5l with 300s (1) cores
% 5.95/1.23 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2069011 completed with status 0
% 5.95/1.23 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 5.95/1.23 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.95/1.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.95/1.23 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.95/1.23 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.95/1.23 % No SInE strategy applied
% 5.95/1.23 % Search class: FGUSF-FFLM33-SFFFFFNN
% 5.95/1.23 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 5.95/1.23 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 5.95/1.23 % Starting SubtermCWHack with 136s (1) cores
% 5.95/1.23 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 5.95/1.23 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 5.95/1.23 % Starting new_bool_3 with 136s (1) cores
% 5.95/1.23 % Starting new_bool_1 with 136s (1) cores
% 5.95/1.23 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 2069019 completed with status 0
% 5.95/1.23 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 5.95/1.23 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.95/1.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.95/1.23 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.95/1.23 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.95/1.23 % No SInE strategy applied
% 5.95/1.23 % Search class: FGUSF-FFLM33-SFFFFFNN
% 5.95/1.23 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 5.95/1.23 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 5.95/1.23 % Starting SubtermCWHack with 136s (1) cores
% 5.95/1.23 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 5.95/1.23 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 5.95/1.23 % Preprocessing time : 0.005 s
% 5.95/1.23 % Presaturation interreduction done
% 5.95/1.23
% 5.95/1.23 % Proof found!
% 5.95/1.23 % SZS status Theorem
% 5.95/1.23 % SZS output start CNFRefutation
% See solution above
% 5.95/1.23 % Parsed axioms : 95
% 5.95/1.23 % Removed by relevancy pruning/SinE : 0
% 5.95/1.23 % Initial clauses : 128
% 5.95/1.23 % Removed in clause preprocessing : 0
% 5.95/1.23 % Initial clauses in saturation : 128
% 5.95/1.23 % Processed clauses : 3497
% 5.95/1.23 % ...of these trivial : 454
% 5.95/1.23 % ...subsumed : 143
% 5.95/1.23 % ...remaining for further processing : 2900
% 5.95/1.23 % Other redundant clauses eliminated : 0
% 5.95/1.23 % Clauses deleted for lack of memory : 0
% 5.95/1.23 % Backward-subsumed : 23
% 5.95/1.23 % Backward-rewritten : 2534
% 5.95/1.23 % Generated clauses : 24129
% 5.95/1.23 % ...of the previous two non-redundant : 11063
% 5.95/1.23 % ...aggressively subsumed : 0
% 5.95/1.23 % Contextual simplify-reflections : 3
% 5.95/1.23 % Paramodulations : 24129
% 5.95/1.23 % Factorizations : 0
% 5.95/1.23 % NegExts : 0
% 5.95/1.23 % Equation resolutions : 0
% 5.95/1.23 % Disequality decompositions : 0
% 5.95/1.23 % Total rewrite steps : 17431
% 5.95/1.23 % ...of those cached : 14474
% 5.95/1.23 % Propositional unsat checks : 0
% 5.95/1.23 % Propositional check models : 0
% 5.95/1.23 % Propositional check unsatisfiable : 0
% 5.95/1.23 % Propositional clauses : 0
% 5.95/1.23 % Propositional clauses after purity: 0
% 5.95/1.23 % Propositional unsat core size : 0
% 5.95/1.23 % Propositional preprocessing time : 0.000
% 5.95/1.23 % Propositional encoding time : 0.000
% 5.95/1.23 % Propositional solver time : 0.000
% 5.95/1.23 % Success case prop preproc time : 0.000
% 5.95/1.23 % Success case prop encoding time : 0.000
% 5.95/1.23 % Success case prop solver time : 0.000
% 5.95/1.23 % Current number of processed clauses : 216
% 5.95/1.23 % Positive orientable unit clauses : 153
% 5.95/1.23 % Positive unorientable unit clauses: 0
% 5.95/1.23 % Negative unit clauses : 0
% 5.95/1.23 % Non-unit-clauses : 63
% 5.95/1.23 % Current number of unprocessed clauses: 7681
% 5.95/1.23 % ...number of literals in the above : 25544
% 5.95/1.23 % Current number of archived formulas : 0
% 5.95/1.23 % Current number of archived clauses : 2684
% 5.95/1.23 % Clause-clause subsumption calls (NU) : 204769
% 5.95/1.23 % Rec. Clause-clause subsumption calls : 176526
% 5.95/1.23 % Non-unit clause-clause subsumptions : 169
% 5.95/1.23 % Unit Clause-clause subsumption calls : 195241
% 5.95/1.23 % Rewrite failures with RHS unbound : 0
% 5.95/1.23 % BW rewrite match attempts : 12306
% 5.95/1.23 % BW rewrite match successes : 1605
% 5.95/1.23 % Condensation attempts : 0
% 5.95/1.23 % Condensation successes : 0
% 5.95/1.23 % Termbank termtop insertions : 242314
% 5.95/1.23 % Search garbage collected termcells : 2949
% 5.95/1.23
% 5.95/1.23 % -------------------------------------------------
% 5.95/1.23 % User time : 0.756 s
% 5.95/1.23 % System time : 0.040 s
% 5.95/1.23 % Total time : 0.796 s
% 5.95/1.23 % Maximum resident set size: 4260 pages
% 5.95/1.23
% 5.95/1.23 % -------------------------------------------------
% 5.95/1.23 % User time : 3.607 s
% 5.95/1.23 % System time : 0.146 s
% 5.95/1.23 % Total time : 3.753 s
% 5.95/1.23 % Maximum resident set size: 4864 pages
% 5.95/1.23 % E exiting
%------------------------------------------------------------------------------