%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO649+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 6.87s 1.39s
% Output : CNFRefutation 6.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 27
% Syntax : Number of formulae : 127 ( 28 unt; 0 def)
% Number of atoms : 321 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 309 ( 115 ~; 112 |; 54 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-6 aty)
% Number of variables : 509 ( 38 sgn 270 !; 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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(exemplo6GDDFULLmoreE02210,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( perp(X6,X13,X6,X14)
& perp(X6,X2,X26,X13)
& midp(X26,X6,X2)
& perp(X5,X2,X25,X13)
& midp(X25,X5,X2)
& perp(X5,X6,X24,X13)
& midp(X24,X5,X6)
& coll(X6,X2,X4)
& coll(X6,X3,X5)
& circle(X1,X2,X5,X23)
& circle(X1,X2,X4,X22)
& circle(X1,X2,X3,X21)
& circle(X1,X2,X19,X20) )
=> para(X14,X6,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02210) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( coll(X9,X10,X2)
& eqangle(X9,X1,X9,X2,X10,X1,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X4)
& coll(X1,X2,X3) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( coll(X6,X1,X3)
& para(X5,X6,X2,X3)
& midp(X5,X1,X2) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X5)
& cyclic(X1,X2,X3,X4) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( para(X1,X4,X2,X3)
& para(X1,X3,X2,X4)
& midp(X7,X1,X2) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(c_0_27,plain,
! [X59,X60,X61,X62,X63,X64] :
( para(X59,X60,X63,X64)
| ~ perp(X61,X62,X63,X64)
| ~ perp(X59,X60,X61,X62) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
fof(c_0_28,plain,
! [X501,X502,X503,X504] :
( perp(esk12_4(X501,X502,X503,X504),X501,X501,X504)
| ~ circle(X504,X501,X502,X503) ),
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,
! [X55,X56,X57,X58] :
( perp(X57,X58,X55,X56)
| ~ perp(X55,X56,X57,X58) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
fof(c_0_30,plain,
! [X108,X109,X110,X111,X112,X113,X114,X115] :
( eqangle(X110,X111,X108,X109,X114,X115,X112,X113)
| ~ eqangle(X108,X109,X110,X111,X112,X113,X114,X115) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_31,plain,
! [X262,X263,X264,X265,X266,X267] :
( eqangle(X262,X263,X266,X267,X264,X265,X266,X267)
| ~ para(X262,X263,X264,X265) ),
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] :
( ( perp(X6,X13,X6,X14)
& perp(X6,X2,X26,X13)
& midp(X26,X6,X2)
& perp(X5,X2,X25,X13)
& midp(X25,X5,X2)
& perp(X5,X6,X24,X13)
& midp(X24,X5,X6)
& coll(X6,X2,X4)
& coll(X6,X3,X5)
& circle(X1,X2,X5,X23)
& circle(X1,X2,X4,X22)
& circle(X1,X2,X3,X21)
& circle(X1,X2,X19,X20) )
=> para(X14,X6,X3,X4) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE02210]) ).
fof(c_0_36,plain,
! [X256,X257,X258,X259,X260,X261] :
( para(X256,X257,X258,X259)
| ~ eqangle(X256,X257,X260,X261,X258,X259,X260,X261) ),
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(esk28_0,esk26_0,esk23_0,esk24_0)
& perp(esk26_0,esk27_0,esk26_0,esk28_0)
& perp(esk26_0,esk22_0,esk36_0,esk27_0)
& midp(esk36_0,esk26_0,esk22_0)
& perp(esk25_0,esk22_0,esk35_0,esk27_0)
& midp(esk35_0,esk25_0,esk22_0)
& perp(esk25_0,esk26_0,esk34_0,esk27_0)
& midp(esk34_0,esk25_0,esk26_0)
& coll(esk26_0,esk22_0,esk24_0)
& coll(esk26_0,esk23_0,esk25_0)
& circle(esk21_0,esk22_0,esk25_0,esk33_0)
& circle(esk21_0,esk22_0,esk24_0,esk32_0)
& circle(esk21_0,esk22_0,esk23_0,esk31_0)
& circle(esk21_0,esk22_0,esk29_0,esk30_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(esk21_0,esk22_0,esk29_0,esk30_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_46,plain,
! [X391,X392,X393] :
( coll(X391,X392,X393)
| ~ para(X391,X392,X391,X393) ),
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(esk22_0,esk21_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
fof(c_0_49,plain,
! [X30,X31,X32] :
( coll(X31,X30,X32)
| ~ coll(X30,X31,X32) ),
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,
! [X27,X28,X29] :
( coll(X27,X29,X28)
| ~ coll(X27,X28,X29) ),
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,
! [X276,X277,X278,X279] :
( cyclic(X276,X277,X278,X279)
| ~ coll(X278,X279,X277)
| ~ eqangle(X278,X276,X278,X277,X279,X276,X279,X277) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
fof(c_0_56,plain,
! [X33,X34,X35,X36] :
( coll(X35,X36,X33)
| ~ coll(X33,X34,X36)
| ~ coll(X33,X34,X35) ),
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,
! [X87,X88,X89,X90] :
( cyclic(X87,X89,X88,X90)
| ~ cyclic(X87,X88,X89,X90) ),
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,
! [X317,X318,X319,X320,X321] :
( midp(X321,X318,X319)
| ~ eqangle(X317,X318,X317,X319,X320,X318,X320,X321)
| ~ coll(X321,X318,X319)
| ~ circle(X320,X317,X318,X319) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])])]) ).
fof(c_0_66,plain,
! [X268,X269,X270,X271] :
( eqangle(X270,X268,X270,X269,X271,X268,X271,X269)
| ~ cyclic(X268,X269,X270,X271) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).
fof(c_0_67,plain,
! [X83,X84,X85,X86] :
( cyclic(X83,X84,X86,X85)
| ~ cyclic(X83,X84,X85,X86) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).
cnf(c_0_68,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_69,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])]) ).
cnf(c_0_70,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_65]) ).
cnf(c_0_71,plain,
( ~ cyclic(X1,X2,X3,X4)
| eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
fof(c_0_72,plain,
! [X91,X92,X93,X94] :
( cyclic(X92,X91,X93,X94)
| ~ cyclic(X91,X92,X93,X94) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).
cnf(c_0_73,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_74,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
fof(c_0_75,plain,
! [X291,X292,X293,X294,X295] :
( midp(X295,X291,X293)
| ~ coll(X295,X291,X293)
| ~ para(X294,X295,X292,X293)
| ~ midp(X294,X291,X292) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_76,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_70,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
circle(esk21_0,esk22_0,esk25_0,esk33_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_78,plain,
! [X95,X96,X97,X98,X99] :
( cyclic(X96,X97,X98,X99)
| ~ cyclic(X95,X96,X97,X99)
| ~ cyclic(X95,X96,X97,X98) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_79,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_80,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
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_75]) ).
cnf(c_0_82,negated_conjecture,
( ~ coll(esk33_0,esk25_0,esk33_0)
| ~ cyclic(esk25_0,esk33_0,esk22_0,esk21_0)
| midp(esk33_0,esk25_0,esk33_0) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,plain,
( ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_84,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
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_81,c_0_64])]) ).
cnf(c_0_86,negated_conjecture,
( ~ cyclic(esk25_0,esk33_0,esk22_0,esk21_0)
| midp(esk33_0,esk25_0,esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_58])]) ).
cnf(c_0_87,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_84])]) ).
fof(c_0_88,plain,
! [X71,X72,X73] :
( midp(X73,X71,X72)
| ~ midp(X73,X72,X71) ),
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(esk33_0,esk25_0,esk33_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87])]) ).
fof(c_0_91,plain,
! [X417,X418,X419,X420,X421,X422,X423,X424] :
( para(X417,X418,X419,X420)
| ~ para(X421,X422,X423,X424)
| ~ eqangle(X417,X418,X419,X420,X421,X422,X423,X424) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_92,plain,
! [X296,X297,X298] :
( eqangle(X298,X296,X296,X297,X296,X297,X298,X297)
| ~ cong(X298,X296,X298,X297) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
fof(c_0_93,plain,
! [X397,X398,X399] :
( cong(X397,X398,X397,X399)
| ~ midp(X397,X398,X399) ),
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,esk25_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,esk25_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,esk25_0),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
fof(c_0_102,plain,
! [X381,X382,X383,X384,X385] :
( midp(X385,X383,X384)
| ~ para(X381,X384,X382,X383)
| ~ para(X381,X383,X382,X384)
| ~ midp(X385,X381,X382) ),
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,esk25_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,esk25_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_103]) ).
fof(c_0_106,plain,
! [X467,X468,X469,X470,X471,X472] :
( ( ~ midp(X472,X469,X470)
| ~ midp(X471,X467,X468)
| para(esk6_6(X467,X468,X469,X470,X471,X472),X472,X467,X469) )
& ( ~ midp(X472,X469,X470)
| ~ midp(X471,X467,X468)
| para(esk6_6(X467,X468,X469,X470,X471,X472),X471,X468,X470) )
& ( ~ midp(X472,X469,X470)
| ~ midp(X471,X467,X468)
| midp(esk6_6(X467,X468,X469,X470,X471,X472),X467,X470) ) ),
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,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_105,c_0_95]) ).
fof(c_0_109,plain,
! [X37,X38,X39,X40] :
( para(X37,X38,X40,X39)
| ~ para(X37,X38,X39,X40) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
cnf(c_0_110,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_111,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_112,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_113,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_110]) ).
cnf(c_0_114,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_89,c_0_111]) ).
cnf(c_0_115,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_112,c_0_51]) ).
cnf(c_0_116,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_113,c_0_64])]) ).
cnf(c_0_117,negated_conjecture,
midp(X1,X2,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_114])]) ).
cnf(c_0_118,negated_conjecture,
( ~ midp(X3,X2,X1)
| midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_85,c_0_115]) ).
fof(c_0_119,plain,
! [X286,X287,X288,X289,X290] :
( para(X289,X290,X287,X288)
| ~ midp(X290,X286,X288)
| ~ midp(X289,X286,X287) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).
cnf(c_0_120,negated_conjecture,
( ~ midp(X4,X5,X3)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_117])]) ).
cnf(c_0_121,negated_conjecture,
midp(esk25_0,X1,X2),
inference(spm,[status(thm)],[c_0_118,c_0_117]) ).
cnf(c_0_122,plain,
( ~ midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| para(X1,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_123,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_124,negated_conjecture,
~ para(esk28_0,esk26_0,esk23_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_125,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123]),c_0_123])]) ).
cnf(c_0_126,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_125])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO649+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 18:11:28 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.87/1.39 % Version: 3.5.1
% 6.87/1.39 % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.87/1.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.87/1.39 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.87/1.39 % Starting new_bool_3 with 300s (1) cores
% 6.87/1.39 % Starting new_bool_1 with 300s (1) cores
% 6.87/1.39 % Starting sh5l with 300s (1) cores
% 6.87/1.39 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3938038 completed with status 0
% 6.87/1.39 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 6.87/1.39 % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.87/1.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.87/1.39 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.87/1.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.87/1.39 % No SInE strategy applied
% 6.87/1.39 % Search class: FGUSF-FFLM33-SFFFFFNN
% 6.87/1.39 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 6.87/1.39 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.87/1.39 % Starting SubtermCWHack with 136s (1) cores
% 6.87/1.39 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.87/1.39 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 6.87/1.39 % Starting new_bool_3 with 136s (1) cores
% 6.87/1.39 % Starting new_bool_1 with 136s (1) cores
% 6.87/1.39 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 3938046 completed with status 0
% 6.87/1.39 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 6.87/1.39 % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.87/1.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.87/1.39 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.87/1.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.87/1.39 % No SInE strategy applied
% 6.87/1.39 % Search class: FGUSF-FFLM33-SFFFFFNN
% 6.87/1.39 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 6.87/1.39 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.87/1.39 % Starting SubtermCWHack with 136s (1) cores
% 6.87/1.39 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.87/1.39 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 6.87/1.39 % Preprocessing time : 0.002 s
% 6.87/1.39 % Presaturation interreduction done
% 6.87/1.39
% 6.87/1.39 % Proof found!
% 6.87/1.39 % SZS status Theorem
% 6.87/1.39 % SZS output start CNFRefutation
% See solution above
% 6.87/1.39 % Parsed axioms : 95
% 6.87/1.39 % Removed by relevancy pruning/SinE : 0
% 6.87/1.39 % Initial clauses : 127
% 6.87/1.39 % Removed in clause preprocessing : 0
% 6.87/1.39 % Initial clauses in saturation : 127
% 6.87/1.39 % Processed clauses : 4025
% 6.87/1.39 % ...of these trivial : 383
% 6.87/1.39 % ...subsumed : 337
% 6.87/1.39 % ...remaining for further processing : 3305
% 6.87/1.39 % Other redundant clauses eliminated : 0
% 6.87/1.39 % Clauses deleted for lack of memory : 0
% 6.87/1.39 % Backward-subsumed : 22
% 6.87/1.39 % Backward-rewritten : 2828
% 6.87/1.39 % Generated clauses : 25015
% 6.87/1.39 % ...of the previous two non-redundant : 13468
% 6.87/1.39 % ...aggressively subsumed : 0
% 6.87/1.39 % Contextual simplify-reflections : 3
% 6.87/1.39 % Paramodulations : 25015
% 6.87/1.39 % Factorizations : 0
% 6.87/1.39 % NegExts : 0
% 6.87/1.39 % Equation resolutions : 0
% 6.87/1.39 % Disequality decompositions : 0
% 6.87/1.39 % Total rewrite steps : 16160
% 6.87/1.39 % ...of those cached : 12810
% 6.87/1.39 % Propositional unsat checks : 0
% 6.87/1.39 % Propositional check models : 0
% 6.87/1.39 % Propositional check unsatisfiable : 0
% 6.87/1.39 % Propositional clauses : 0
% 6.87/1.39 % Propositional clauses after purity: 0
% 6.87/1.39 % Propositional unsat core size : 0
% 6.87/1.39 % Propositional preprocessing time : 0.000
% 6.87/1.39 % Propositional encoding time : 0.000
% 6.87/1.39 % Propositional solver time : 0.000
% 6.87/1.39 % Success case prop preproc time : 0.000
% 6.87/1.39 % Success case prop encoding time : 0.000
% 6.87/1.39 % Success case prop solver time : 0.000
% 6.87/1.39 % Current number of processed clauses : 329
% 6.87/1.39 % Positive orientable unit clauses : 149
% 6.87/1.39 % Positive unorientable unit clauses: 0
% 6.87/1.39 % Negative unit clauses : 0
% 6.87/1.39 % Non-unit-clauses : 180
% 6.87/1.39 % Current number of unprocessed clauses: 9457
% 6.87/1.39 % ...number of literals in the above : 30046
% 6.87/1.39 % Current number of archived formulas : 0
% 6.87/1.39 % Current number of archived clauses : 2976
% 6.87/1.39 % Clause-clause subsumption calls (NU) : 236116
% 6.87/1.39 % Rec. Clause-clause subsumption calls : 215734
% 6.87/1.39 % Non-unit clause-clause subsumptions : 362
% 6.87/1.39 % Unit Clause-clause subsumption calls : 235461
% 6.87/1.39 % Rewrite failures with RHS unbound : 0
% 6.87/1.39 % BW rewrite match attempts : 14322
% 6.87/1.39 % BW rewrite match successes : 1949
% 6.87/1.39 % Condensation attempts : 0
% 6.87/1.39 % Condensation successes : 0
% 6.87/1.39 % Termbank termtop insertions : 260272
% 6.87/1.39 % Search garbage collected termcells : 2914
% 6.87/1.39
% 6.87/1.39 % -------------------------------------------------
% 6.87/1.39 % User time : 0.781 s
% 6.87/1.39 % System time : 0.026 s
% 6.87/1.39 % Total time : 0.807 s
% 6.87/1.39 % Maximum resident set size: 4308 pages
% 6.87/1.39
% 6.87/1.39 % -------------------------------------------------
% 6.87/1.39 % User time : 4.383 s
% 6.87/1.39 % System time : 0.148 s
% 6.87/1.39 % Total time : 4.531 s
% 6.87/1.39 % Maximum resident set size: 4864 pages
% 6.87/1.39 % E exiting
%------------------------------------------------------------------------------