TSTP Solution File: GEO571+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GEO571+1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 20:02:26 EDT 2024
% Result : Theorem 3.47s 0.88s
% Output : CNFRefutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 30
% Syntax : Number of formulae : 139 ( 34 unt; 0 def)
% Number of atoms : 311 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 281 ( 109 ~; 106 |; 35 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-4 aty)
% Number of variables : 591 ( 57 sgn 308 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(exemplo6GDDFULL214033,conjecture,
! [X1,X2,X3,X8,X4,X19,X5,X6,X20] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X4,X20)
& coll(X19,X1,X2)
& coll(X19,X3,X4)
& perp(X3,X4,X4,X5)
& perp(X1,X2,X1,X5)
& perp(X3,X4,X3,X6)
& perp(X1,X2,X2,X6) )
=> eqangle(X1,X19,X19,X5,X6,X19,X19,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214033) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& coll(X9,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(ruleD51,axiom,
! [X1,X2,X3,X8,X7] :
( ( circle(X8,X1,X2,X3)
& coll(X7,X2,X3)
& eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
=> midp(X7,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X4)
& cyclic(X1,X2,X3,X5) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& para(X9,X10,X11,X12) )
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(ruleD20,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(ruleD22,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
=> eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(c_0_30,plain,
! [X139,X140,X141,X142,X143,X144] :
( ~ perp(X139,X140,X141,X142)
| ~ perp(X141,X142,X143,X144)
| para(X139,X140,X143,X144) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
fof(c_0_31,plain,
! [X270,X271,X272,X273] :
( ~ circle(X273,X270,X271,X272)
| perp(esk23_4(X270,X271,X272,X273),X270,X270,X273) ),
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_32,plain,
! [X135,X136,X137,X138] :
( ~ perp(X135,X136,X137,X138)
| perp(X137,X138,X135,X136) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
cnf(c_0_33,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
( perp(esk23_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_36,negated_conjecture,
~ ! [X1,X2,X3,X8,X4,X19,X5,X6,X20] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X4,X20)
& coll(X19,X1,X2)
& coll(X19,X3,X4)
& perp(X3,X4,X4,X5)
& perp(X1,X2,X1,X5)
& perp(X3,X4,X3,X6)
& perp(X1,X2,X2,X6) )
=> eqangle(X1,X19,X19,X5,X6,X19,X19,X3) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214033]) ).
cnf(c_0_37,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk23_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
( perp(X1,X2,esk23_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
fof(c_0_39,negated_conjecture,
( circle(esk4_0,esk1_0,esk2_0,esk3_0)
& circle(esk4_0,esk1_0,esk5_0,esk9_0)
& coll(esk6_0,esk1_0,esk2_0)
& coll(esk6_0,esk3_0,esk5_0)
& perp(esk3_0,esk5_0,esk5_0,esk7_0)
& perp(esk1_0,esk2_0,esk1_0,esk7_0)
& perp(esk3_0,esk5_0,esk3_0,esk8_0)
& perp(esk1_0,esk2_0,esk2_0,esk8_0)
& ~ eqangle(esk1_0,esk6_0,esk6_0,esk7_0,esk8_0,esk6_0,esk6_0,esk3_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
fof(c_0_40,plain,
! [X294,X295,X296,X297] :
( ~ para(X294,X295,X296,X297)
| para(X294,X295,X297,X296) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
cnf(c_0_41,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
circle(esk4_0,esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_43,plain,
! [X38,X39,X40,X41,X42,X43,X44,X45] :
( ~ eqangle(X38,X39,X40,X41,X42,X43,X44,X45)
| eqangle(X40,X41,X38,X39,X44,X45,X42,X43) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_44,plain,
! [X80,X81,X82,X83,X84,X85] :
( ~ para(X80,X81,X82,X83)
| eqangle(X80,X81,X84,X85,X82,X83,X84,X85) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
fof(c_0_45,plain,
! [X298,X299,X300,X301] :
( ~ para(X298,X299,X300,X301)
| para(X300,X301,X298,X299) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
cnf(c_0_46,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,negated_conjecture,
para(esk1_0,esk4_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_48,plain,
! [X74,X75,X76,X77,X78,X79] :
( ~ eqangle(X74,X75,X78,X79,X76,X77,X78,X79)
| para(X74,X75,X76,X77) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_49,plain,
( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,negated_conjecture,
para(esk1_0,esk4_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
para(esk4_0,esk1_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_56,plain,
! [X211,X212,X213] :
( ~ para(X211,X212,X211,X213)
| coll(X211,X212,X213) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_57,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
para(esk4_0,esk1_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_46,c_0_55]) ).
fof(c_0_59,plain,
! [X199,X200,X201] :
( ~ coll(X199,X200,X201)
| coll(X200,X199,X201) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_60,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_61,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_62,plain,
! [X196,X197,X198] :
( ~ coll(X196,X197,X198)
| coll(X196,X198,X197) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_63,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_64,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
fof(c_0_65,plain,
! [X380,X381,X382,X383] :
( ~ eqangle(X382,X380,X382,X381,X383,X380,X383,X381)
| ~ coll(X382,X383,X381)
| cyclic(X380,X381,X382,X383) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
fof(c_0_66,plain,
! [X202,X203,X204,X205] :
( ~ coll(X202,X203,X204)
| ~ coll(X202,X203,X205)
| coll(X204,X205,X202) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_67,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_68,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,plain,
( cyclic(X2,X3,X1,X4)
| ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ coll(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_70,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
fof(c_0_72,plain,
! [X359,X360,X361,X362] :
( ~ cyclic(X359,X360,X361,X362)
| cyclic(X359,X361,X360,X362) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).
cnf(c_0_73,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_50]) ).
cnf(c_0_74,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_71])]) ).
fof(c_0_75,plain,
! [X355,X356,X357,X358] :
( ~ cyclic(X355,X356,X357,X358)
| cyclic(X355,X356,X358,X357) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).
cnf(c_0_76,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_77,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_61])]),c_0_74])]) ).
fof(c_0_78,plain,
! [X261,X262,X263,X264,X265] :
( ~ circle(X264,X261,X262,X263)
| ~ coll(X265,X262,X263)
| ~ eqangle(X261,X262,X261,X263,X264,X262,X264,X265)
| midp(X265,X262,X263) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])])]) ).
fof(c_0_79,plain,
! [X372,X373,X374,X375] :
( ~ cyclic(X372,X373,X374,X375)
| eqangle(X374,X372,X374,X373,X375,X372,X375,X373) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).
fof(c_0_80,plain,
! [X363,X364,X365,X366] :
( ~ cyclic(X363,X364,X365,X366)
| cyclic(X364,X363,X365,X366) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).
cnf(c_0_81,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,plain,
( midp(X5,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X5,X3,X4)
| ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_84,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
fof(c_0_85,plain,
! [X367,X368,X369,X370,X371] :
( ~ cyclic(X367,X368,X369,X370)
| ~ cyclic(X367,X368,X369,X371)
| cyclic(X368,X369,X370,X371) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_86,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_87,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
fof(c_0_88,plain,
! [X206,X207,X208,X209,X210] :
( ~ midp(X209,X206,X207)
| ~ para(X209,X210,X207,X208)
| ~ coll(X210,X206,X208)
| midp(X210,X206,X208) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_89,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_90,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_91,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,plain,
( midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| ~ para(X1,X4,X3,X5)
| ~ coll(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_93,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_68])]) ).
cnf(c_0_94,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_91])]) ).
cnf(c_0_95,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_74])]) ).
cnf(c_0_96,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]) ).
cnf(c_0_97,negated_conjecture,
circle(esk4_0,esk1_0,esk5_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_98,plain,
! [X347,X348,X349] :
( ~ midp(X349,X348,X347)
| midp(X349,X347,X348) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
cnf(c_0_99,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_61]) ).
cnf(c_0_100,negated_conjecture,
midp(esk9_0,esk5_0,esk9_0),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
fof(c_0_101,plain,
! [X100,X101,X102,X103,X104,X105,X106,X107] :
( ~ eqangle(X100,X101,X102,X103,X104,X105,X106,X107)
| ~ para(X104,X105,X106,X107)
| para(X100,X101,X102,X103) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_102,plain,
! [X86,X87,X88] :
( ~ cong(X88,X86,X88,X87)
| eqangle(X88,X86,X86,X87,X86,X87,X88,X87) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
fof(c_0_103,plain,
! [X344,X345,X346] :
( ~ midp(X344,X345,X346)
| cong(X344,X345,X344,X346) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_104,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_105,negated_conjecture,
midp(X1,esk5_0,X1),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_106,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ para(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_107,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_108,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,X1,esk5_0),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_110,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,negated_conjecture,
cong(X1,X1,X1,esk5_0),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
fof(c_0_112,plain,
! [X318,X319,X320,X321,X322] :
( ~ midp(X322,X318,X319)
| ~ para(X318,X320,X319,X321)
| ~ para(X318,X321,X319,X320)
| midp(X322,X320,X321) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_113,negated_conjecture,
para(X1,X1,X1,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_61])]) ).
cnf(c_0_114,plain,
( midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| ~ para(X2,X4,X3,X5)
| ~ para(X2,X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_115,negated_conjecture,
( midp(X1,X2,esk5_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_113]) ).
cnf(c_0_116,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_61]),c_0_61])]) ).
cnf(c_0_117,negated_conjecture,
midp(X1,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_115,c_0_105]) ).
cnf(c_0_118,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_119,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_99,c_0_118]) ).
fof(c_0_120,plain,
! [X308,X309,X310,X311,X312] :
( ~ midp(X311,X308,X309)
| ~ midp(X312,X308,X310)
| para(X311,X312,X309,X310) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).
cnf(c_0_121,negated_conjecture,
midp(X1,X2,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_119])]) ).
fof(c_0_122,plain,
! [X46,X47,X48,X49,X50,X51,X52,X53] :
( ~ eqangle(X46,X47,X48,X49,X50,X51,X52,X53)
| eqangle(X50,X51,X52,X53,X46,X47,X48,X49) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])])]) ).
cnf(c_0_123,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_124,negated_conjecture,
midp(X1,esk5_0,X2),
inference(spm,[status(thm)],[c_0_104,c_0_121]) ).
cnf(c_0_125,plain,
( eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
fof(c_0_126,plain,
! [X54,X55,X56,X57,X58,X59,X60,X61] :
( ~ eqangle(X54,X55,X56,X57,X58,X59,X60,X61)
| eqangle(X54,X55,X58,X59,X56,X57,X60,X61) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])])]) ).
cnf(c_0_127,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_124])]) ).
cnf(c_0_128,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X5,X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_125,c_0_50]) ).
fof(c_0_129,plain,
! [X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73] :
( ~ eqangle(X62,X63,X64,X65,X66,X67,X68,X69)
| ~ eqangle(X66,X67,X68,X69,X70,X71,X72,X73)
| eqangle(X62,X63,X64,X65,X70,X71,X72,X73) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])])]) ).
cnf(c_0_130,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_131,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_127])]) ).
cnf(c_0_132,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_127])]) ).
cnf(c_0_133,plain,
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_134,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_135,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_130,c_0_132]) ).
cnf(c_0_136,negated_conjecture,
~ eqangle(esk1_0,esk6_0,esk6_0,esk7_0,esk8_0,esk6_0,esk6_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_137,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135])]) ).
cnf(c_0_138,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO571+1 : TPTP v8.2.0. Released v7.5.0.
% 0.02/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 13:45:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.17/0.45 Running first-order model finding
% 0.17/0.45 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.47/0.88 # Version: 3.1.0
% 3.47/0.88 # Preprocessing class: FSLSSMSSSSSNFFN.
% 3.47/0.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.47/0.88 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.47/0.88 # Starting new_bool_3 with 300s (1) cores
% 3.47/0.88 # Starting new_bool_1 with 300s (1) cores
% 3.47/0.88 # Starting sh5l with 300s (1) cores
% 3.47/0.88 # new_bool_3 with pid 10207 completed with status 0
% 3.47/0.88 # Result found by new_bool_3
% 3.47/0.88 # Preprocessing class: FSLSSMSSSSSNFFN.
% 3.47/0.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.47/0.88 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.47/0.88 # Starting new_bool_3 with 300s (1) cores
% 3.47/0.88 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.47/0.88 # Search class: FGUSF-FFLM33-SFFFFFNN
% 3.47/0.88 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 3.47/0.88 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.47/0.88 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 3.47/0.88 # SAT001_MinMin_p005000_rr_RG with pid 10210 completed with status 0
% 3.47/0.88 # Result found by SAT001_MinMin_p005000_rr_RG
% 3.47/0.88 # Preprocessing class: FSLSSMSSSSSNFFN.
% 3.47/0.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.47/0.88 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.47/0.88 # Starting new_bool_3 with 300s (1) cores
% 3.47/0.88 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.47/0.88 # Search class: FGUSF-FFLM33-SFFFFFNN
% 3.47/0.88 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 3.47/0.88 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.47/0.88 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 3.47/0.88 # Preprocessing time : 0.003 s
% 3.47/0.88 # Presaturation interreduction done
% 3.47/0.88
% 3.47/0.88 # Proof found!
% 3.47/0.88 # SZS status Theorem
% 3.47/0.88 # SZS output start CNFRefutation
% See solution above
% 3.47/0.88 # Parsed axioms : 95
% 3.47/0.88 # Removed by relevancy pruning/SinE : 21
% 3.47/0.88 # Initial clauses : 101
% 3.47/0.88 # Removed in clause preprocessing : 0
% 3.47/0.88 # Initial clauses in saturation : 101
% 3.47/0.88 # Processed clauses : 3201
% 3.47/0.88 # ...of these trivial : 499
% 3.47/0.88 # ...subsumed : 167
% 3.47/0.88 # ...remaining for further processing : 2535
% 3.47/0.88 # Other redundant clauses eliminated : 0
% 3.47/0.88 # Clauses deleted for lack of memory : 0
% 3.47/0.88 # Backward-subsumed : 332
% 3.47/0.88 # Backward-rewritten : 2095
% 3.47/0.88 # Generated clauses : 22610
% 3.47/0.88 # ...of the previous two non-redundant : 11099
% 3.47/0.88 # ...aggressively subsumed : 0
% 3.47/0.88 # Contextual simplify-reflections : 2
% 3.47/0.88 # Paramodulations : 22610
% 3.47/0.88 # Factorizations : 0
% 3.47/0.88 # NegExts : 0
% 3.47/0.88 # Equation resolutions : 0
% 3.47/0.88 # Disequality decompositions : 0
% 3.47/0.88 # Total rewrite steps : 15916
% 3.47/0.88 # ...of those cached : 13148
% 3.47/0.88 # Propositional unsat checks : 0
% 3.47/0.88 # Propositional check models : 0
% 3.47/0.88 # Propositional check unsatisfiable : 0
% 3.47/0.88 # Propositional clauses : 0
% 3.47/0.88 # Propositional clauses after purity: 0
% 3.47/0.88 # Propositional unsat core size : 0
% 3.47/0.88 # Propositional preprocessing time : 0.000
% 3.47/0.88 # Propositional encoding time : 0.000
% 3.47/0.88 # Propositional solver time : 0.000
% 3.47/0.88 # Success case prop preproc time : 0.000
% 3.47/0.88 # Success case prop encoding time : 0.000
% 3.47/0.88 # Success case prop solver time : 0.000
% 3.47/0.88 # Current number of processed clauses : 8
% 3.47/0.88 # Positive orientable unit clauses : 8
% 3.47/0.88 # Positive unorientable unit clauses: 0
% 3.47/0.88 # Negative unit clauses : 0
% 3.47/0.88 # Non-unit-clauses : 0
% 3.47/0.88 # Current number of unprocessed clauses: 1574
% 3.47/0.88 # ...number of literals in the above : 6554
% 3.47/0.88 # Current number of archived formulas : 0
% 3.47/0.88 # Current number of archived clauses : 2527
% 3.47/0.88 # Clause-clause subsumption calls (NU) : 83759
% 3.47/0.88 # Rec. Clause-clause subsumption calls : 75230
% 3.47/0.88 # Non-unit clause-clause subsumptions : 197
% 3.47/0.88 # Unit Clause-clause subsumption calls : 30198
% 3.47/0.88 # Rewrite failures with RHS unbound : 0
% 3.47/0.88 # BW rewrite match attempts : 10774
% 3.47/0.88 # BW rewrite match successes : 1696
% 3.47/0.88 # Condensation attempts : 0
% 3.47/0.88 # Condensation successes : 0
% 3.47/0.88 # Termbank termtop insertions : 231701
% 3.47/0.88 # Search garbage collected termcells : 2582
% 3.47/0.88
% 3.47/0.88 # -------------------------------------------------
% 3.47/0.88 # User time : 0.398 s
% 3.47/0.88 # System time : 0.012 s
% 3.47/0.88 # Total time : 0.410 s
% 3.47/0.88 # Maximum resident set size: 2352 pages
% 3.47/0.88
% 3.47/0.88 # -------------------------------------------------
% 3.47/0.88 # User time : 0.403 s
% 3.47/0.88 # System time : 0.014 s
% 3.47/0.88 # Total time : 0.416 s
% 3.47/0.88 # Maximum resident set size: 1904 pages
% 3.47/0.88 % E---3.1 exiting
%------------------------------------------------------------------------------