%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO630+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 : n011.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 6.93s 1.32s
% Output : CNFRefutation 6.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 29
% Syntax : Number of formulae : 135 ( 31 unt; 0 def)
% Number of atoms : 326 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 306 ( 115 ~; 112 |; 49 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 544 ( 48 sgn 286 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X3,X4,X5,X6)
& perp(X1,X2,X3,X4) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/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(exemplo6GDDFULL8110993,conjecture,
! [X1,X2,X3,X8,X19,X4,X6,X13,X20,X21,X22,X23] :
( ( coll(X21,X1,X3)
& perp(X21,X19,X1,X3)
& coll(X20,X1,X2)
& perp(X20,X19,X1,X2)
& coll(X13,X1,X2)
& perp(X13,X4,X1,X2)
& coll(X6,X1,X3)
& perp(X6,X4,X1,X3)
& coll(X4,X19,X8)
& circle(X8,X19,X4,X23)
& circle(X8,X1,X19,X22)
& circle(X8,X1,X2,X3) )
=> perp(X20,X21,X13,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110993) ).
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(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(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(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(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(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(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(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(ruleD75,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( cong(X9,X10,X11,X12)
& eqratio(X1,X2,X3,X4,X9,X10,X11,X12) )
=> cong(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(ruleD70,axiom,
! [X1,X2,X3,X4,X7,X17] :
( ( midp(X17,X3,X4)
& midp(X7,X1,X2) )
=> eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X10,X2,X10)
& cong(X1,X9,X2,X9) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(c_0_29,plain,
! [X56,X57,X58,X59,X60,X61] :
( para(X56,X57,X60,X61)
| ~ perp(X58,X59,X60,X61)
| ~ perp(X56,X57,X58,X59) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
fof(c_0_30,plain,
! [X498,X499,X500,X501] :
( perp(esk12_4(X498,X499,X500,X501),X498,X498,X501)
| ~ circle(X501,X498,X499,X500) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])])]) ).
fof(c_0_31,plain,
! [X52,X53,X54,X55] :
( perp(X54,X55,X52,X53)
| ~ perp(X52,X53,X54,X55) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
fof(c_0_32,plain,
! [X105,X106,X107,X108,X109,X110,X111,X112] :
( eqangle(X107,X108,X105,X106,X111,X112,X109,X110)
| ~ eqangle(X105,X106,X107,X108,X109,X110,X111,X112) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_33,plain,
! [X259,X260,X261,X262,X263,X264] :
( eqangle(X259,X260,X263,X264,X261,X262,X263,X264)
| ~ para(X259,X260,X261,X262) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
cnf(c_0_34,plain,
( ~ perp(X3,X4,X5,X6)
| ~ perp(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
( ~ circle(X1,X2,X3,X4)
| perp(esk12_4(X2,X3,X4,X1),X2,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_37,negated_conjecture,
~ ! [X1,X2,X3,X8,X19,X4,X6,X13,X20,X21,X22,X23] :
( ( coll(X21,X1,X3)
& perp(X21,X19,X1,X3)
& coll(X20,X1,X2)
& perp(X20,X19,X1,X2)
& coll(X13,X1,X2)
& perp(X13,X4,X1,X2)
& coll(X6,X1,X3)
& perp(X6,X4,X1,X3)
& coll(X4,X19,X8)
& circle(X8,X19,X4,X23)
& circle(X8,X1,X19,X22)
& circle(X8,X1,X2,X3) )
=> perp(X20,X21,X13,X6) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110993]) ).
fof(c_0_38,plain,
! [X253,X254,X255,X256,X257,X258] :
( para(X253,X254,X255,X256)
| ~ eqangle(X253,X254,X257,X258,X255,X256,X257,X258) ),
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_32]) ).
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_33]) ).
cnf(c_0_41,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_34,c_0_35]) ).
cnf(c_0_42,plain,
( ~ circle(X2,X1,X3,X4)
| perp(X1,X2,esk12_4(X1,X3,X4,X2),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_35]) ).
fof(c_0_43,negated_conjecture,
( ~ perp(esk29_0,esk30_0,esk28_0,esk27_0)
& coll(esk30_0,esk21_0,esk23_0)
& perp(esk30_0,esk25_0,esk21_0,esk23_0)
& coll(esk29_0,esk21_0,esk22_0)
& perp(esk29_0,esk25_0,esk21_0,esk22_0)
& coll(esk28_0,esk21_0,esk22_0)
& perp(esk28_0,esk26_0,esk21_0,esk22_0)
& coll(esk27_0,esk21_0,esk23_0)
& perp(esk27_0,esk26_0,esk21_0,esk23_0)
& coll(esk26_0,esk25_0,esk24_0)
& circle(esk24_0,esk25_0,esk26_0,esk32_0)
& circle(esk24_0,esk21_0,esk25_0,esk31_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_37])])])]) ).
cnf(c_0_44,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_45,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_46,plain,
( ~ circle(X2,X1,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
circle(esk24_0,esk25_0,esk26_0,esk32_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_48,plain,
! [X388,X389,X390] :
( coll(X388,X389,X390)
| ~ para(X388,X389,X388,X390) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_49,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,negated_conjecture,
para(esk25_0,esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_51,plain,
! [X27,X28,X29] :
( coll(X28,X27,X29)
| ~ coll(X27,X28,X29) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_52,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_53,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_54,plain,
! [X24,X25,X26] :
( coll(X24,X26,X25)
| ~ coll(X24,X25,X26) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_55,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_57,plain,
! [X273,X274,X275,X276] :
( cyclic(X273,X274,X275,X276)
| ~ coll(X275,X276,X274)
| ~ eqangle(X275,X273,X275,X274,X276,X273,X276,X274) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
fof(c_0_58,plain,
! [X30,X31,X32,X33] :
( coll(X32,X33,X30)
| ~ coll(X30,X31,X33)
| ~ coll(X30,X31,X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_59,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,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_57]) ).
cnf(c_0_62,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_63,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_64,plain,
! [X84,X85,X86,X87] :
( cyclic(X84,X86,X85,X87)
| ~ cyclic(X84,X85,X86,X87) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).
cnf(c_0_65,plain,
( ~ coll(X3,X3,X2)
| ~ para(X3,X1,X3,X1)
| cyclic(X1,X2,X3,X3) ),
inference(spm,[status(thm)],[c_0_61,c_0_40]) ).
cnf(c_0_66,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_63])]) ).
fof(c_0_67,plain,
! [X80,X81,X82,X83] :
( cyclic(X80,X81,X83,X82)
| ~ cyclic(X80,X81,X82,X83) ),
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_64]) ).
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_65,c_0_53])]),c_0_66])]) ).
fof(c_0_70,plain,
! [X314,X315,X316,X317,X318] :
( midp(X318,X315,X316)
| ~ eqangle(X314,X315,X314,X316,X317,X315,X317,X318)
| ~ coll(X318,X315,X316)
| ~ circle(X317,X314,X315,X316) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])])]) ).
fof(c_0_71,plain,
! [X265,X266,X267,X268] :
( eqangle(X267,X265,X267,X266,X268,X265,X268,X266)
| ~ cyclic(X265,X266,X267,X268) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).
fof(c_0_72,plain,
! [X88,X89,X90,X91] :
( cyclic(X89,X88,X90,X91)
| ~ cyclic(X88,X89,X90,X91) ),
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]) ).
cnf(c_0_75,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_70]) ).
cnf(c_0_76,plain,
( ~ cyclic(X1,X2,X3,X4)
| eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
fof(c_0_77,plain,
! [X92,X93,X94,X95,X96] :
( cyclic(X93,X94,X95,X96)
| ~ cyclic(X92,X93,X94,X96)
| ~ cyclic(X92,X93,X94,X95) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_78,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_79,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_80,plain,
! [X288,X289,X290,X291,X292] :
( midp(X292,X288,X290)
| ~ coll(X292,X288,X290)
| ~ para(X291,X292,X289,X290)
| ~ midp(X291,X288,X289) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_81,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_75,c_0_76]) ).
cnf(c_0_82,plain,
( ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_83,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,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_80]) ).
cnf(c_0_85,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_81,c_0_60])]) ).
cnf(c_0_86,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_83])]) ).
cnf(c_0_87,plain,
( ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_66])]) ).
cnf(c_0_88,plain,
( ~ circle(X3,X4,X2,X1)
| midp(X1,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86])]) ).
fof(c_0_89,plain,
! [X68,X69,X70] :
( midp(X70,X68,X69)
| ~ midp(X70,X69,X68) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
cnf(c_0_90,negated_conjecture,
( ~ midp(X3,X2,X3)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_53]) ).
cnf(c_0_91,negated_conjecture,
midp(esk32_0,esk26_0,esk32_0),
inference(spm,[status(thm)],[c_0_88,c_0_47]) ).
fof(c_0_92,plain,
! [X414,X415,X416,X417,X418,X419,X420,X421] :
( para(X414,X415,X416,X417)
| ~ para(X418,X419,X420,X421)
| ~ eqangle(X414,X415,X416,X417,X418,X419,X420,X421) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_93,plain,
! [X293,X294,X295] :
( eqangle(X295,X293,X293,X294,X293,X294,X295,X294)
| ~ cong(X295,X293,X295,X294) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
fof(c_0_94,plain,
! [X394,X395,X396] :
( cong(X394,X395,X394,X396)
| ~ midp(X394,X395,X396) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_95,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_96,negated_conjecture,
midp(X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_97,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_92]) ).
cnf(c_0_98,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_99,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_100,negated_conjecture,
midp(X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,plain,
( ~ para(X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3)
| para(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
cong(X1,X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
fof(c_0_103,plain,
! [X378,X379,X380,X381,X382] :
( midp(X382,X380,X381)
| ~ para(X378,X381,X379,X380)
| ~ para(X378,X380,X379,X381)
| ~ midp(X382,X378,X379) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_104,negated_conjecture,
para(X1,X1,X1,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_53])]) ).
cnf(c_0_105,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_103]) ).
cnf(c_0_106,negated_conjecture,
( ~ midp(X1,X2,X1)
| midp(X1,X2,esk26_0) ),
inference(spm,[status(thm)],[c_0_87,c_0_104]) ).
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_105,c_0_53]),c_0_53])]) ).
cnf(c_0_108,negated_conjecture,
midp(X1,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_106,c_0_96]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_110,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_90,c_0_109]) ).
fof(c_0_111,plain,
! [X283,X284,X285,X286,X287] :
( para(X286,X287,X284,X285)
| ~ midp(X287,X283,X285)
| ~ midp(X286,X283,X284) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).
cnf(c_0_112,negated_conjecture,
midp(X1,X2,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_110])]) ).
fof(c_0_113,plain,
! [X430,X431,X432,X433,X434,X435,X436,X437] :
( cong(X430,X431,X432,X433)
| ~ cong(X434,X435,X436,X437)
| ~ eqratio(X430,X431,X432,X433,X434,X435,X436,X437) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])])]) ).
fof(c_0_114,plain,
! [X400,X401,X402,X403,X404,X405] :
( eqratio(X404,X400,X400,X401,X405,X402,X402,X403)
| ~ midp(X405,X402,X403)
| ~ midp(X404,X400,X401) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])])]) ).
cnf(c_0_115,plain,
( ~ midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| para(X1,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_116,negated_conjecture,
midp(X1,esk26_0,X2),
inference(spm,[status(thm)],[c_0_95,c_0_112]) ).
cnf(c_0_117,plain,
( ~ cong(X5,X6,X7,X8)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_118,plain,
( ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3)
| eqratio(X1,X2,X2,X3,X4,X5,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_119,negated_conjecture,
midp(esk32_0,esk32_0,esk26_0),
inference(spm,[status(thm)],[c_0_95,c_0_91]) ).
cnf(c_0_120,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_116])]) ).
cnf(c_0_121,plain,
( ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6)
| ~ cong(X4,X5,X5,X6)
| cong(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,negated_conjecture,
cong(esk32_0,esk32_0,esk32_0,esk26_0),
inference(spm,[status(thm)],[c_0_99,c_0_119]) ).
cnf(c_0_123,plain,
( ~ midp(X1,X4,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_120]),c_0_120])]) ).
fof(c_0_124,plain,
! [X141,X142,X143,X144] :
( cong(X141,X142,X144,X143)
| ~ cong(X141,X142,X143,X144) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).
cnf(c_0_125,negated_conjecture,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_119])]) ).
cnf(c_0_126,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_123,c_0_116]) ).
fof(c_0_127,plain,
! [X335,X336,X337,X338] :
( perp(X335,X336,X337,X338)
| ~ cong(X335,X338,X336,X338)
| ~ cong(X335,X337,X336,X337) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])])]) ).
cnf(c_0_128,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_129,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126])]) ).
cnf(c_0_130,plain,
( ~ cong(X1,X4,X3,X4)
| ~ cong(X1,X2,X3,X2)
| perp(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_131,negated_conjecture,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_132,negated_conjecture,
~ perp(esk29_0,esk30_0,esk28_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_133,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131]),c_0_131])]) ).
cnf(c_0_134,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_133])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO630+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 18:08:40 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 6.93/1.32 % Version: 3.5.1
% 6.93/1.32 % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.93/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.93/1.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.93/1.32 % Starting new_bool_3 with 300s (1) cores
% 6.93/1.32 % Starting new_bool_1 with 300s (1) cores
% 6.93/1.32 % Starting sh5l with 300s (1) cores
% 6.93/1.32 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4061704 completed with status 0
% 6.93/1.32 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 6.93/1.32 % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.93/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.93/1.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.93/1.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.93/1.32 % No SInE strategy applied
% 6.93/1.32 % Search class: FGUSF-FFLM33-SFFFFFNN
% 6.93/1.32 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 6.93/1.32 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.93/1.32 % Starting SubtermCWHack with 136s (1) cores
% 6.93/1.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.93/1.32 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 6.93/1.32 % Starting new_bool_3 with 136s (1) cores
% 6.93/1.32 % Starting new_bool_1 with 136s (1) cores
% 6.93/1.32 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 4061710 completed with status 0
% 6.93/1.32 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 6.93/1.32 % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.93/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.93/1.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.93/1.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.93/1.32 % No SInE strategy applied
% 6.93/1.32 % Search class: FGUSF-FFLM33-SFFFFFNN
% 6.93/1.32 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 6.93/1.32 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.93/1.32 % Starting SubtermCWHack with 136s (1) cores
% 6.93/1.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.93/1.32 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 6.93/1.32 % Preprocessing time : 0.005 s
% 6.93/1.32 % Presaturation interreduction done
% 6.93/1.32
% 6.93/1.32 % Proof found!
% 6.93/1.32 % SZS status Theorem
% 6.93/1.32 % SZS output start CNFRefutation
% See solution above
% 6.93/1.32 % Parsed axioms : 95
% 6.93/1.32 % Removed by relevancy pruning/SinE : 0
% 6.93/1.32 % Initial clauses : 126
% 6.93/1.32 % Removed in clause preprocessing : 0
% 6.93/1.32 % Initial clauses in saturation : 126
% 6.93/1.32 % Processed clauses : 4519
% 6.93/1.32 % ...of these trivial : 706
% 6.93/1.32 % ...subsumed : 84
% 6.93/1.32 % ...remaining for further processing : 3729
% 6.93/1.32 % Other redundant clauses eliminated : 0
% 6.93/1.32 % Clauses deleted for lack of memory : 0
% 6.93/1.32 % Backward-subsumed : 15
% 6.93/1.32 % Backward-rewritten : 3550
% 6.93/1.32 % Generated clauses : 29192
% 6.93/1.32 % ...of the previous two non-redundant : 14301
% 6.93/1.32 % ...aggressively subsumed : 0
% 6.93/1.32 % Contextual simplify-reflections : 3
% 6.93/1.32 % Paramodulations : 29192
% 6.93/1.32 % Factorizations : 0
% 6.93/1.32 % NegExts : 0
% 6.93/1.32 % Equation resolutions : 0
% 6.93/1.32 % Disequality decompositions : 0
% 6.93/1.32 % Total rewrite steps : 20558
% 6.93/1.32 % ...of those cached : 15863
% 6.93/1.32 % Propositional unsat checks : 0
% 6.93/1.32 % Propositional check models : 0
% 6.93/1.32 % Propositional check unsatisfiable : 0
% 6.93/1.32 % Propositional clauses : 0
% 6.93/1.32 % Propositional clauses after purity: 0
% 6.93/1.32 % Propositional unsat core size : 0
% 6.93/1.32 % Propositional preprocessing time : 0.000
% 6.93/1.32 % Propositional encoding time : 0.000
% 6.93/1.32 % Propositional solver time : 0.000
% 6.93/1.32 % Success case prop preproc time : 0.000
% 6.93/1.32 % Success case prop encoding time : 0.000
% 6.93/1.32 % Success case prop solver time : 0.000
% 6.93/1.32 % Current number of processed clauses : 39
% 6.93/1.32 % Positive orientable unit clauses : 10
% 6.93/1.32 % Positive unorientable unit clauses: 0
% 6.93/1.32 % Negative unit clauses : 0
% 6.93/1.32 % Non-unit-clauses : 29
% 6.93/1.32 % Current number of unprocessed clauses: 9342
% 6.93/1.32 % ...number of literals in the above : 29891
% 6.93/1.32 % Current number of archived formulas : 0
% 6.93/1.32 % Current number of archived clauses : 3690
% 6.93/1.32 % Clause-clause subsumption calls (NU) : 206512
% 6.93/1.32 % Rec. Clause-clause subsumption calls : 186740
% 6.93/1.32 % Non-unit clause-clause subsumptions : 102
% 6.93/1.32 % Unit Clause-clause subsumption calls : 156306
% 6.93/1.32 % Rewrite failures with RHS unbound : 0
% 6.93/1.32 % BW rewrite match attempts : 23843
% 6.93/1.32 % BW rewrite match successes : 2721
% 6.93/1.32 % Condensation attempts : 0
% 6.93/1.32 % Condensation successes : 0
% 6.93/1.32 % Termbank termtop insertions : 309511
% 6.93/1.32 % Search garbage collected termcells : 2887
% 6.93/1.32
% 6.93/1.32 % -------------------------------------------------
% 6.93/1.32 % User time : 0.718 s
% 6.93/1.32 % System time : 0.035 s
% 6.93/1.32 % Total time : 0.754 s
% 6.93/1.32 % Maximum resident set size: 4308 pages
% 6.93/1.32
% 6.93/1.32 % -------------------------------------------------
% 6.93/1.32 % User time : 3.972 s
% 6.93/1.32 % System time : 0.155 s
% 6.93/1.32 % Total time : 4.127 s
% 6.93/1.32 % Maximum resident set size: 5120 pages
% 6.93/1.32 % E exiting
%------------------------------------------------------------------------------