%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO606+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 : n006.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 12:28:34 PM UTC 2026
% Result : Theorem 1.27s 1.07s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 28
% Syntax : Number of formulae : 133 ( 28 unt; 0 def)
% Number of atoms : 319 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 300 ( 114 ~; 111 |; 46 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 19 ( 19 usr; 18 con; 0-4 aty)
% Number of variables : 545 ( 38 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(exemplo6GDDFULL618068,conjecture,
! [X1,X2,X9,X4,X5,X19,X6,X13,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ( coll(X13,X6,X2)
& circle(X2,X6,X13,X29)
& circle(X2,X9,X6,X28)
& coll(X6,X4,X19)
& circle(X2,X9,X19,X27)
& circle(X1,X9,X19,X26)
& coll(X5,X4,X1)
& circle(X1,X4,X5,X25)
& circle(X1,X9,X4,X24)
& circle(X2,X9,X22,X23)
& circle(X1,X9,X20,X21)
& perp(X9,X1,X9,X2) )
=> perp(X13,X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618068) ).
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(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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(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_28,plain,
! [X62,X63,X64,X65,X66,X67] :
( para(X62,X63,X66,X67)
| ~ perp(X64,X65,X66,X67)
| ~ perp(X62,X63,X64,X65) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
fof(c_0_29,plain,
! [X504,X505,X506,X507] :
( perp(esk12_4(X504,X505,X506,X507),X504,X504,X507)
| ~ circle(X507,X504,X505,X506) ),
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_30,plain,
! [X58,X59,X60,X61] :
( perp(X60,X61,X58,X59)
| ~ perp(X58,X59,X60,X61) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
fof(c_0_31,plain,
! [X111,X112,X113,X114,X115,X116,X117,X118] :
( eqangle(X113,X114,X111,X112,X117,X118,X115,X116)
| ~ eqangle(X111,X112,X113,X114,X115,X116,X117,X118) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_32,plain,
! [X265,X266,X267,X268,X269,X270] :
( eqangle(X265,X266,X269,X270,X267,X268,X269,X270)
| ~ para(X265,X266,X267,X268) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
cnf(c_0_33,plain,
( ~ perp(X3,X4,X5,X6)
| ~ perp(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( ~ circle(X1,X2,X3,X4)
| perp(esk12_4(X2,X3,X4,X1),X2,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_36,negated_conjecture,
~ ! [X1,X2,X9,X4,X5,X19,X6,X13,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ( coll(X13,X6,X2)
& circle(X2,X6,X13,X29)
& circle(X2,X9,X6,X28)
& coll(X6,X4,X19)
& circle(X2,X9,X19,X27)
& circle(X1,X9,X19,X26)
& coll(X5,X4,X1)
& circle(X1,X4,X5,X25)
& circle(X1,X9,X4,X24)
& circle(X2,X9,X22,X23)
& circle(X1,X9,X20,X21)
& perp(X9,X1,X9,X2) )
=> perp(X13,X6,X4,X5) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618068]) ).
fof(c_0_37,plain,
! [X259,X260,X261,X262,X263,X264] :
( para(X259,X260,X261,X262)
| ~ eqangle(X259,X260,X263,X264,X261,X262,X263,X264) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_38,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_31]) ).
cnf(c_0_39,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,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_33,c_0_34]) ).
cnf(c_0_41,plain,
( ~ circle(X2,X1,X3,X4)
| perp(X1,X2,esk12_4(X1,X3,X4,X2),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
fof(c_0_42,negated_conjecture,
( ~ perp(esk28_0,esk27_0,esk24_0,esk25_0)
& coll(esk28_0,esk27_0,esk22_0)
& circle(esk22_0,esk27_0,esk28_0,esk38_0)
& circle(esk22_0,esk23_0,esk27_0,esk37_0)
& coll(esk27_0,esk24_0,esk26_0)
& circle(esk22_0,esk23_0,esk26_0,esk36_0)
& circle(esk21_0,esk23_0,esk26_0,esk35_0)
& coll(esk25_0,esk24_0,esk21_0)
& circle(esk21_0,esk24_0,esk25_0,esk34_0)
& circle(esk21_0,esk23_0,esk24_0,esk33_0)
& circle(esk22_0,esk23_0,esk31_0,esk32_0)
& circle(esk21_0,esk23_0,esk29_0,esk30_0)
& perp(esk23_0,esk21_0,esk23_0,esk22_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
cnf(c_0_43,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
( ~ para(X3,X4,X5,X6)
| eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( ~ circle(X2,X1,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
circle(esk22_0,esk27_0,esk28_0,esk38_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_47,plain,
! [X394,X395,X396] :
( coll(X394,X395,X396)
| ~ para(X394,X395,X394,X396) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_48,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
para(esk27_0,esk22_0,esk27_0,esk22_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_50,plain,
! [X33,X34,X35] :
( coll(X34,X33,X35)
| ~ coll(X33,X34,X35) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_51,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_53,plain,
! [X30,X31,X32] :
( coll(X30,X32,X31)
| ~ coll(X30,X31,X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_54,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_55,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_56,plain,
! [X279,X280,X281,X282] :
( cyclic(X279,X280,X281,X282)
| ~ coll(X281,X282,X280)
| ~ eqangle(X281,X279,X281,X280,X282,X279,X282,X280) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
fof(c_0_57,plain,
! [X36,X37,X38,X39] :
( coll(X38,X39,X36)
| ~ coll(X36,X37,X39)
| ~ coll(X36,X37,X38) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_58,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,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_56]) ).
cnf(c_0_61,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_63,plain,
! [X90,X91,X92,X93] :
( cyclic(X90,X92,X91,X93)
| ~ cyclic(X90,X91,X92,X93) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).
cnf(c_0_64,plain,
( ~ coll(X3,X3,X2)
| ~ para(X3,X1,X3,X1)
| cyclic(X1,X2,X3,X3) ),
inference(spm,[status(thm)],[c_0_60,c_0_39]) ).
cnf(c_0_65,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_62])]) ).
fof(c_0_66,plain,
! [X86,X87,X88,X89] :
( cyclic(X86,X87,X89,X88)
| ~ cyclic(X86,X87,X88,X89) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).
cnf(c_0_67,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_52])]),c_0_65])]) ).
fof(c_0_69,plain,
! [X320,X321,X322,X323,X324] :
( midp(X324,X321,X322)
| ~ eqangle(X320,X321,X320,X322,X323,X321,X323,X324)
| ~ coll(X324,X321,X322)
| ~ circle(X323,X320,X321,X322) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])])]) ).
fof(c_0_70,plain,
! [X271,X272,X273,X274] :
( eqangle(X273,X271,X273,X272,X274,X271,X274,X272)
| ~ cyclic(X271,X272,X273,X274) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).
fof(c_0_71,plain,
! [X94,X95,X96,X97] :
( cyclic(X95,X94,X96,X97)
| ~ cyclic(X94,X95,X96,X97) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).
cnf(c_0_72,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_73,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,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_69]) ).
cnf(c_0_75,plain,
( ~ cyclic(X1,X2,X3,X4)
| eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
fof(c_0_76,plain,
! [X98,X99,X100,X101,X102] :
( cyclic(X99,X100,X101,X102)
| ~ cyclic(X98,X99,X100,X102)
| ~ cyclic(X98,X99,X100,X101) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_77,plain,
( ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_78,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
fof(c_0_79,plain,
! [X294,X295,X296,X297,X298] :
( midp(X298,X294,X296)
| ~ coll(X298,X294,X296)
| ~ para(X297,X298,X295,X296)
| ~ midp(X297,X294,X295) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_80,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_74,c_0_75]) ).
cnf(c_0_81,plain,
( ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X4)
| cyclic(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_83,plain,
! [X299,X300,X301] :
( eqangle(X301,X299,X299,X300,X299,X300,X301,X300)
| ~ cong(X301,X299,X301,X300) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
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_79]) ).
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_80,c_0_59])]) ).
cnf(c_0_86,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_82])]) ).
fof(c_0_87,plain,
! [X40,X41,X42,X43] :
( para(X40,X41,X43,X42)
| ~ para(X40,X41,X42,X43) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
cnf(c_0_88,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_89,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_65])]) ).
cnf(c_0_90,plain,
( ~ circle(X3,X4,X2,X1)
| midp(X1,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86])]) ).
cnf(c_0_91,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_92,plain,
( ~ cong(X1,X1,X1,X2)
| para(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_88]) ).
fof(c_0_93,plain,
! [X74,X75,X76] :
( midp(X76,X74,X75)
| ~ midp(X76,X75,X74) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
cnf(c_0_94,negated_conjecture,
( ~ midp(X3,X2,X3)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_52]) ).
cnf(c_0_95,negated_conjecture,
midp(esk38_0,esk28_0,esk38_0),
inference(spm,[status(thm)],[c_0_90,c_0_46]) ).
cnf(c_0_96,plain,
( ~ cong(X1,X1,X1,X2)
| para(X1,X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
fof(c_0_97,plain,
! [X400,X401,X402] :
( cong(X400,X401,X400,X402)
| ~ midp(X400,X401,X402) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_98,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_99,negated_conjecture,
midp(X1,esk28_0,X1),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_100,plain,
( ~ coll(X1,X2,X1)
| ~ midp(X1,X2,X3)
| ~ cong(X1,X1,X1,X3)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_96]) ).
cnf(c_0_101,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_102,negated_conjecture,
midp(X1,X1,esk28_0),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_103,plain,
( ~ midp(X1,X2,X3)
| ~ cong(X1,X1,X1,X3)
| midp(X1,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_59])]) ).
cnf(c_0_104,negated_conjecture,
cong(X1,X1,X1,esk28_0),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
fof(c_0_105,plain,
! [X420,X421,X422,X423,X424,X425,X426,X427] :
( para(X420,X421,X422,X423)
| ~ para(X424,X425,X426,X427)
| ~ eqangle(X420,X421,X422,X423,X424,X425,X426,X427) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
cnf(c_0_106,negated_conjecture,
( ~ midp(X1,X2,esk28_0)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_107,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_105]) ).
cnf(c_0_108,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_106,c_0_102]) ).
cnf(c_0_109,plain,
( ~ para(X4,X2,X4,X3)
| ~ cyclic(X2,X3,X1,X4)
| para(X1,X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_107,c_0_75]) ).
cnf(c_0_110,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_94,c_0_108]) ).
fof(c_0_111,plain,
! [X436,X437,X438,X439,X440,X441,X442,X443] :
( cong(X436,X437,X438,X439)
| ~ cong(X440,X441,X442,X443)
| ~ eqratio(X436,X437,X438,X439,X440,X441,X442,X443) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])])]) ).
fof(c_0_112,plain,
! [X406,X407,X408,X409,X410,X411] :
( eqratio(X410,X406,X406,X407,X411,X408,X408,X409)
| ~ midp(X411,X408,X409)
| ~ midp(X410,X406,X407) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])])]) ).
cnf(c_0_113,plain,
( ~ para(X4,X2,X4,X3)
| para(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_86])]) ).
cnf(c_0_114,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_98,c_0_110]) ).
cnf(c_0_115,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_111]) ).
cnf(c_0_116,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_112]) ).
cnf(c_0_117,plain,
( ~ cong(X2,X2,X2,X3)
| para(X1,X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_113,c_0_92]) ).
cnf(c_0_118,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_101,c_0_114]) ).
cnf(c_0_119,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_115,c_0_116]) ).
cnf(c_0_120,negated_conjecture,
cong(X1,esk28_0,X1,X1),
inference(spm,[status(thm)],[c_0_101,c_0_99]) ).
cnf(c_0_121,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]) ).
fof(c_0_122,plain,
! [X147,X148,X149,X150] :
( cong(X147,X148,X150,X149)
| ~ cong(X147,X148,X149,X150) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).
cnf(c_0_123,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_119,c_0_120]),c_0_102])]) ).
cnf(c_0_124,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_121]),c_0_110])]) ).
fof(c_0_125,plain,
! [X341,X342,X343,X344] :
( perp(X341,X342,X343,X344)
| ~ cong(X341,X344,X342,X344)
| ~ cong(X341,X343,X342,X343) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])])]) ).
cnf(c_0_126,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_127,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124])]) ).
cnf(c_0_128,plain,
( ~ cong(X1,X4,X3,X4)
| ~ cong(X1,X2,X3,X2)
| perp(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_129,negated_conjecture,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_130,negated_conjecture,
~ perp(esk28_0,esk27_0,esk24_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_131,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129]),c_0_129])]) ).
cnf(c_0_132,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO606+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 17:56:28 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 1.27/1.07 % Version: 3.5.1
% 1.27/1.07 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.27/1.07 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.27/1.07 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.27/1.07 % Starting new_bool_3 with 300s (1) cores
% 1.27/1.07 % Starting new_bool_1 with 300s (1) cores
% 1.27/1.07 % Starting sh5l with 300s (1) cores
% 1.27/1.07 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 987486 completed with status 0
% 1.27/1.07 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.27/1.07 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.27/1.07 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.27/1.07 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.27/1.07 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.27/1.07 % No SInE strategy applied
% 1.27/1.07 % Search class: FGUSF-FFLM33-SFFFFFNN
% 1.27/1.07 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 1.27/1.07 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.27/1.07 % Starting SubtermCWHack with 136s (1) cores
% 1.27/1.07 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.27/1.07 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 1.27/1.07 % Starting new_bool_3 with 136s (1) cores
% 1.27/1.07 % Starting new_bool_1 with 136s (1) cores
% 1.27/1.07 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 987494 completed with status 0
% 1.27/1.07 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 1.27/1.07 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.27/1.07 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.27/1.07 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.27/1.07 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.27/1.07 % No SInE strategy applied
% 1.27/1.07 % Search class: FGUSF-FFLM33-SFFFFFNN
% 1.27/1.07 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 1.27/1.07 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.27/1.07 % Starting SubtermCWHack with 136s (1) cores
% 1.27/1.07 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.27/1.07 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 1.27/1.07 % Preprocessing time : 0.003 s
% 1.27/1.07 % Presaturation interreduction done
% 1.27/1.07
% 1.27/1.07 % Proof found!
% 1.27/1.07 % SZS status Theorem
% 1.27/1.07 % SZS output start CNFRefutation
% See solution above
% 1.27/1.07 % Parsed axioms : 95
% 1.27/1.07 % Removed by relevancy pruning/SinE : 0
% 1.27/1.07 % Initial clauses : 126
% 1.27/1.07 % Removed in clause preprocessing : 0
% 1.27/1.07 % Initial clauses in saturation : 126
% 1.27/1.07 % Processed clauses : 4201
% 1.27/1.07 % ...of these trivial : 581
% 1.27/1.07 % ...subsumed : 192
% 1.27/1.07 % ...remaining for further processing : 3428
% 1.27/1.07 % Other redundant clauses eliminated : 0
% 1.27/1.07 % Clauses deleted for lack of memory : 0
% 1.27/1.07 % Backward-subsumed : 48
% 1.27/1.07 % Backward-rewritten : 3216
% 1.27/1.07 % Generated clauses : 25253
% 1.27/1.07 % ...of the previous two non-redundant : 14012
% 1.27/1.07 % ...aggressively subsumed : 0
% 1.27/1.07 % Contextual simplify-reflections : 39
% 1.27/1.07 % Paramodulations : 25253
% 1.27/1.07 % Factorizations : 0
% 1.27/1.07 % NegExts : 0
% 1.27/1.07 % Equation resolutions : 0
% 1.27/1.07 % Disequality decompositions : 0
% 1.27/1.07 % Total rewrite steps : 16508
% 1.27/1.07 % ...of those cached : 12566
% 1.27/1.07 % Propositional unsat checks : 0
% 1.27/1.07 % Propositional check models : 0
% 1.27/1.07 % Propositional check unsatisfiable : 0
% 1.27/1.07 % Propositional clauses : 0
% 1.27/1.07 % Propositional clauses after purity: 0
% 1.27/1.07 % Propositional unsat core size : 0
% 1.27/1.07 % Propositional preprocessing time : 0.000
% 1.27/1.07 % Propositional encoding time : 0.000
% 1.27/1.07 % Propositional solver time : 0.000
% 1.27/1.07 % Success case prop preproc time : 0.000
% 1.27/1.07 % Success case prop encoding time : 0.000
% 1.27/1.07 % Success case prop solver time : 0.000
% 1.27/1.07 % Current number of processed clauses : 39
% 1.27/1.07 % Positive orientable unit clauses : 10
% 1.27/1.07 % Positive unorientable unit clauses: 0
% 1.27/1.07 % Negative unit clauses : 0
% 1.27/1.07 % Non-unit-clauses : 29
% 1.27/1.07 % Current number of unprocessed clauses: 9820
% 1.27/1.07 % ...number of literals in the above : 29863
% 1.27/1.07 % Current number of archived formulas : 0
% 1.27/1.07 % Current number of archived clauses : 3389
% 1.27/1.07 % Clause-clause subsumption calls (NU) : 177945
% 1.27/1.07 % Rec. Clause-clause subsumption calls : 146655
% 1.27/1.07 % Non-unit clause-clause subsumptions : 279
% 1.27/1.07 % Unit Clause-clause subsumption calls : 49388
% 1.27/1.07 % Rewrite failures with RHS unbound : 0
% 1.27/1.07 % BW rewrite match attempts : 18819
% 1.27/1.07 % BW rewrite match successes : 2324
% 1.27/1.07 % Condensation attempts : 0
% 1.27/1.07 % Condensation successes : 0
% 1.27/1.07 % Termbank termtop insertions : 289857
% 1.27/1.07 % Search garbage collected termcells : 2911
% 1.27/1.07
% 1.27/1.07 % -------------------------------------------------
% 1.27/1.07 % User time : 0.492 s
% 1.27/1.07 % System time : 0.023 s
% 1.27/1.07 % Total time : 0.515 s
% 1.27/1.07 % Maximum resident set size: 4308 pages
% 1.27/1.07
% 1.27/1.07 % -------------------------------------------------
% 1.27/1.07 % User time : 2.626 s
% 1.27/1.07 % System time : 0.126 s
% 1.27/1.07 % Total time : 2.752 s
% 1.27/1.07 % Maximum resident set size: 5120 pages
% 1.27/1.07 % E exiting
%------------------------------------------------------------------------------