TSTP Solution File: GEO650+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GEO650+1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 20:02:43 EDT 2024
% Result : Theorem 3.21s 0.99s
% Output : CNFRefutation 3.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 27
% Syntax : Number of formulae : 122 ( 26 unt; 0 def)
% Number of atoms : 303 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 288 ( 107 ~; 104 |; 49 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 474 ( 31 sgn 256 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE02211,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
( ( midp(X19,X1,X2)
& perp(X1,X2,X19,X4)
& midp(X20,X1,X3)
& perp(X1,X3,X20,X4)
& midp(X21,X2,X3)
& perp(X2,X3,X21,X4)
& perp(X3,X4,X3,X5)
& perp(X2,X4,X2,X5)
& perp(X6,X4,X1,X2)
& coll(X6,X1,X2)
& coll(X13,X4,X6)
& coll(X13,X1,X3) )
=> para(X13,X5,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02211) ).
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(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
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] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& coll(X9,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,X3)
& coll(X1,X2,X4) )
=> 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(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(ruleD43,axiom,
! [X1,X2,X3,X9,X10,X15] :
( ( cyclic(X1,X2,X3,X9)
& cyclic(X1,X2,X3,X10)
& cyclic(X1,X2,X3,X15)
& eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
=> cong(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(ruleD54,axiom,
! [X1,X2,X3,X4] :
( ( cyclic(X1,X2,X3,X4)
& para(X1,X2,X3,X4) )
=> eqangle(X1,X4,X3,X4,X3,X4,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD54) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
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(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(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(c_0_27,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
( ( midp(X19,X1,X2)
& perp(X1,X2,X19,X4)
& midp(X20,X1,X3)
& perp(X1,X3,X20,X4)
& midp(X21,X2,X3)
& perp(X2,X3,X21,X4)
& perp(X3,X4,X3,X5)
& perp(X2,X4,X2,X5)
& perp(X6,X4,X1,X2)
& coll(X6,X1,X2)
& coll(X13,X4,X6)
& coll(X13,X1,X3) )
=> para(X13,X5,X1,X2) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE02211]) ).
fof(c_0_28,plain,
! [X255,X256,X257,X258] :
( ~ perp(X255,X256,X257,X258)
| perp(X257,X258,X255,X256) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
fof(c_0_29,negated_conjecture,
( midp(esk8_0,esk1_0,esk2_0)
& perp(esk1_0,esk2_0,esk8_0,esk4_0)
& midp(esk9_0,esk1_0,esk3_0)
& perp(esk1_0,esk3_0,esk9_0,esk4_0)
& midp(esk10_0,esk2_0,esk3_0)
& perp(esk2_0,esk3_0,esk10_0,esk4_0)
& perp(esk3_0,esk4_0,esk3_0,esk5_0)
& perp(esk2_0,esk4_0,esk2_0,esk5_0)
& perp(esk6_0,esk4_0,esk1_0,esk2_0)
& coll(esk6_0,esk1_0,esk2_0)
& coll(esk7_0,esk4_0,esk6_0)
& coll(esk7_0,esk1_0,esk3_0)
& ~ para(esk7_0,esk5_0,esk1_0,esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
fof(c_0_30,plain,
! [X251,X252,X253,X254] :
( ~ perp(X251,X252,X253,X254)
| perp(X251,X252,X254,X253) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])])]) ).
cnf(c_0_31,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,negated_conjecture,
perp(esk6_0,esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_33,plain,
! [X334,X335,X336,X337,X338,X339,X340,X341] :
( ~ eqangle(X334,X335,X336,X337,X338,X339,X340,X341)
| eqangle(X336,X337,X334,X335,X340,X341,X338,X339) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_34,plain,
! [X64,X65,X66,X67,X68,X69] :
( ~ para(X64,X65,X66,X67)
| eqangle(X64,X65,X68,X69,X66,X67,X68,X69) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
cnf(c_0_35,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,negated_conjecture,
perp(esk1_0,esk2_0,esk6_0,esk4_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_37,plain,
! [X58,X59,X60,X61,X62,X63] :
( ~ eqangle(X58,X59,X62,X63,X60,X61,X62,X63)
| para(X58,X59,X60,X61) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_38,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_33]) ).
cnf(c_0_39,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_40,plain,
! [X46,X47,X48,X49,X50,X51] :
( ~ perp(X46,X47,X48,X49)
| ~ perp(X48,X49,X50,X51)
| para(X46,X47,X50,X51) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
cnf(c_0_41,negated_conjecture,
perp(esk1_0,esk2_0,esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,negated_conjecture,
perp(esk4_0,esk6_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_31,c_0_41]) ).
fof(c_0_46,plain,
! [X99,X100,X101] :
( ~ para(X99,X100,X99,X101)
| coll(X99,X100,X101) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_47,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( para(X1,X2,esk1_0,esk2_0)
| ~ perp(X1,X2,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
fof(c_0_49,plain,
! [X154,X155,X156] :
( ~ coll(X154,X155,X156)
| coll(X155,X154,X156) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_50,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_41])]) ).
fof(c_0_52,plain,
! [X151,X152,X153] :
( ~ coll(X151,X152,X153)
| coll(X151,X153,X152) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_53,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_55,plain,
! [X165,X166,X167,X168] :
( ~ eqangle(X167,X165,X167,X166,X168,X165,X168,X166)
| ~ coll(X167,X168,X166)
| cyclic(X165,X166,X167,X168) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
fof(c_0_56,plain,
! [X157,X158,X159,X160] :
( ~ coll(X157,X158,X159)
| ~ coll(X157,X158,X160)
| coll(X159,X160,X157) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_57,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_58,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,plain,
( 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_55]) ).
cnf(c_0_60,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_61,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_62,plain,
! [X398,X399,X400,X401] :
( ~ cyclic(X398,X399,X400,X401)
| cyclic(X398,X400,X399,X401) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).
cnf(c_0_63,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_39]) ).
cnf(c_0_64,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_61])]) ).
fof(c_0_65,plain,
! [X394,X395,X396,X397] :
( ~ cyclic(X394,X395,X396,X397)
| cyclic(X394,X395,X397,X396) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).
cnf(c_0_66,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_67,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_51])]),c_0_64])]) ).
fof(c_0_68,plain,
! [X402,X403,X404,X405] :
( ~ cyclic(X402,X403,X404,X405)
| cyclic(X403,X402,X404,X405) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).
cnf(c_0_69,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_70,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_71,plain,
! [X374,X375,X376,X377,X378,X379] :
( ~ cyclic(X374,X375,X376,X377)
| ~ cyclic(X374,X375,X376,X378)
| ~ cyclic(X374,X375,X376,X379)
| ~ eqangle(X376,X374,X376,X375,X379,X377,X379,X378)
| cong(X374,X375,X377,X378) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])])]) ).
fof(c_0_72,plain,
! [X80,X81,X82,X83] :
( ~ cyclic(X80,X81,X82,X83)
| ~ para(X80,X81,X82,X83)
| eqangle(X80,X83,X82,X83,X82,X83,X82,X81) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])])]) ).
fof(c_0_73,plain,
! [X406,X407,X408,X409,X410] :
( ~ cyclic(X406,X407,X408,X409)
| ~ cyclic(X406,X407,X408,X410)
| cyclic(X407,X408,X409,X410) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_74,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,plain,
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X6)
| ~ eqangle(X3,X1,X3,X2,X6,X4,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_77,plain,
( eqangle(X1,X4,X3,X4,X3,X4,X3,X2)
| ~ cyclic(X1,X2,X3,X4)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_78,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_79,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
fof(c_0_80,plain,
! [X187,X188,X189] :
( ~ cong(X187,X188,X187,X189)
| ~ coll(X187,X188,X189)
| midp(X187,X188,X189) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).
cnf(c_0_81,plain,
( cong(X1,X1,X1,X2)
| ~ cyclic(X1,X1,X3,X3)
| ~ cyclic(X1,X1,X3,X2)
| ~ cyclic(X1,X1,X3,X1)
| ~ cyclic(X3,X2,X3,X1)
| ~ para(X3,X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_79])]) ).
fof(c_0_83,plain,
! [X75,X76,X77,X78,X79] :
( ~ midp(X78,X75,X76)
| ~ para(X78,X79,X76,X77)
| ~ coll(X79,X75,X77)
| midp(X79,X75,X77) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
fof(c_0_84,plain,
! [X32,X33,X34,X35] :
( ~ para(X32,X33,X34,X35)
| para(X32,X33,X35,X34) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
fof(c_0_85,plain,
! [X89,X90,X91,X92,X93] :
( ~ midp(X93,X89,X90)
| ~ para(X89,X91,X90,X92)
| ~ para(X89,X92,X90,X91)
| midp(X93,X91,X92) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_86,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_87,plain,
( cong(X1,X1,X1,X2)
| ~ para(X3,X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_67])]),c_0_82]),c_0_82]),c_0_82])]) ).
fof(c_0_88,plain,
! [X110,X111,X112,X113,X114,X115,X116,X117] :
( ~ eqangle(X110,X111,X112,X113,X114,X115,X116,X117)
| ~ para(X114,X115,X116,X117)
| para(X110,X111,X112,X113) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_89,plain,
! [X370,X371,X372,X373] :
( ~ cyclic(X370,X371,X372,X373)
| eqangle(X372,X370,X372,X371,X373,X370,X373,X371) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).
cnf(c_0_90,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_83]) ).
cnf(c_0_91,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_92,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_85]) ).
cnf(c_0_93,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_64])]) ).
cnf(c_0_94,negated_conjecture,
cong(X1,X1,X1,X1),
inference(spm,[status(thm)],[c_0_87,c_0_51]) ).
cnf(c_0_95,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_88]) ).
cnf(c_0_96,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
fof(c_0_97,plain,
! [X380,X381,X382] :
( ~ cong(X382,X380,X382,X381)
| eqangle(X382,X380,X380,X381,X380,X381,X382,X381) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
cnf(c_0_98,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_64])]) ).
cnf(c_0_99,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_91,c_0_51]) ).
cnf(c_0_100,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_51]),c_0_51])]) ).
cnf(c_0_101,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_102,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_103,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
fof(c_0_104,plain,
! [X317,X318,X319] :
( ~ midp(X317,X318,X319)
| cong(X317,X318,X317,X319) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_105,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_106,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_107,plain,
( para(X1,X2,X1,X3)
| ~ para(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_82])]) ).
cnf(c_0_108,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_103]) ).
cnf(c_0_109,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_110,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_111,plain,
( para(X1,X2,X1,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_112,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_113,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_98,c_0_51]) ).
fof(c_0_114,plain,
! [X70,X71,X72,X73,X74] :
( ~ midp(X73,X70,X71)
| ~ midp(X74,X70,X72)
| para(X73,X74,X71,X72) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).
cnf(c_0_115,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112])]) ).
cnf(c_0_116,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_113,c_0_106]) ).
cnf(c_0_117,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_118,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_115]),c_0_116])]) ).
cnf(c_0_119,negated_conjecture,
~ para(esk7_0,esk5_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_120,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118]),c_0_118])]) ).
cnf(c_0_121,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO650+1 : TPTP v8.2.0. Released v7.5.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 14:01:07 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.51 Running first-order model finding
% 0.21/0.51 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 3.21/0.99 # Version: 3.1.0
% 3.21/0.99 # Preprocessing class: FSLSSMSSSSSNFFN.
% 3.21/0.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.21/0.99 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.21/0.99 # Starting new_bool_3 with 300s (1) cores
% 3.21/0.99 # Starting new_bool_1 with 300s (1) cores
% 3.21/0.99 # Starting sh5l with 300s (1) cores
% 3.21/0.99 # sh5l with pid 17033 completed with status 0
% 3.21/0.99 # Result found by sh5l
% 3.21/0.99 # Preprocessing class: FSLSSMSSSSSNFFN.
% 3.21/0.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.21/0.99 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.21/0.99 # Starting new_bool_3 with 300s (1) cores
% 3.21/0.99 # Starting new_bool_1 with 300s (1) cores
% 3.21/0.99 # Starting sh5l with 300s (1) cores
% 3.21/0.99 # SinE strategy is gf500_gu_R04_F100_L20000
% 3.21/0.99 # Search class: FGUSF-FFLM33-SFFFFFNN
% 3.21/0.99 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 3.21/0.99 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.21/0.99 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 3.21/0.99 # SAT001_MinMin_p005000_rr_RG with pid 17038 completed with status 0
% 3.21/0.99 # Result found by SAT001_MinMin_p005000_rr_RG
% 3.21/0.99 # Preprocessing class: FSLSSMSSSSSNFFN.
% 3.21/0.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.21/0.99 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.21/0.99 # Starting new_bool_3 with 300s (1) cores
% 3.21/0.99 # Starting new_bool_1 with 300s (1) cores
% 3.21/0.99 # Starting sh5l with 300s (1) cores
% 3.21/0.99 # SinE strategy is gf500_gu_R04_F100_L20000
% 3.21/0.99 # Search class: FGUSF-FFLM33-SFFFFFNN
% 3.21/0.99 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 3.21/0.99 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.21/0.99 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 3.21/0.99 # Preprocessing time : 0.003 s
% 3.21/0.99 # Presaturation interreduction done
% 3.21/0.99
% 3.21/0.99 # Proof found!
% 3.21/0.99 # SZS status Theorem
% 3.21/0.99 # SZS output start CNFRefutation
% See solution above
% 3.21/0.99 # Parsed axioms : 95
% 3.21/0.99 # Removed by relevancy pruning/SinE : 0
% 3.21/0.99 # Initial clauses : 126
% 3.21/0.99 # Removed in clause preprocessing : 0
% 3.21/0.99 # Initial clauses in saturation : 126
% 3.21/0.99 # Processed clauses : 4684
% 3.21/0.99 # ...of these trivial : 564
% 3.21/0.99 # ...subsumed : 459
% 3.21/0.99 # ...remaining for further processing : 3661
% 3.21/0.99 # Other redundant clauses eliminated : 0
% 3.21/0.99 # Clauses deleted for lack of memory : 0
% 3.21/0.99 # Backward-subsumed : 54
% 3.21/0.99 # Backward-rewritten : 3164
% 3.21/0.99 # Generated clauses : 27927
% 3.21/0.99 # ...of the previous two non-redundant : 15637
% 3.21/0.99 # ...aggressively subsumed : 0
% 3.21/0.99 # Contextual simplify-reflections : 3
% 3.21/0.99 # Paramodulations : 27927
% 3.21/0.99 # Factorizations : 0
% 3.21/0.99 # NegExts : 0
% 3.21/0.99 # Equation resolutions : 0
% 3.21/0.99 # Disequality decompositions : 0
% 3.21/0.99 # Total rewrite steps : 17269
% 3.21/0.99 # ...of those cached : 13237
% 3.21/0.99 # Propositional unsat checks : 0
% 3.21/0.99 # Propositional check models : 0
% 3.21/0.99 # Propositional check unsatisfiable : 0
% 3.21/0.99 # Propositional clauses : 0
% 3.21/0.99 # Propositional clauses after purity: 0
% 3.21/0.99 # Propositional unsat core size : 0
% 3.21/0.99 # Propositional preprocessing time : 0.000
% 3.21/0.99 # Propositional encoding time : 0.000
% 3.21/0.99 # Propositional solver time : 0.000
% 3.21/0.99 # Success case prop preproc time : 0.000
% 3.21/0.99 # Success case prop encoding time : 0.000
% 3.21/0.99 # Success case prop solver time : 0.000
% 3.21/0.99 # Current number of processed clauses : 318
% 3.21/0.99 # Positive orientable unit clauses : 135
% 3.21/0.99 # Positive unorientable unit clauses: 0
% 3.21/0.99 # Negative unit clauses : 4
% 3.21/0.99 # Non-unit-clauses : 179
% 3.21/0.99 # Current number of unprocessed clauses: 10332
% 3.21/0.99 # ...number of literals in the above : 32770
% 3.21/0.99 # Current number of archived formulas : 0
% 3.21/0.99 # Current number of archived clauses : 3343
% 3.21/0.99 # Clause-clause subsumption calls (NU) : 196978
% 3.21/0.99 # Rec. Clause-clause subsumption calls : 175289
% 3.21/0.99 # Non-unit clause-clause subsumptions : 513
% 3.21/0.99 # Unit Clause-clause subsumption calls : 134025
% 3.21/0.99 # Rewrite failures with RHS unbound : 0
% 3.21/0.99 # BW rewrite match attempts : 19745
% 3.21/0.99 # BW rewrite match successes : 2378
% 3.21/0.99 # Condensation attempts : 0
% 3.21/0.99 # Condensation successes : 0
% 3.21/0.99 # Termbank termtop insertions : 293803
% 3.21/0.99 # Search garbage collected termcells : 2887
% 3.21/0.99
% 3.21/0.99 # -------------------------------------------------
% 3.21/0.99 # User time : 0.380 s
% 3.21/0.99 # System time : 0.015 s
% 3.21/0.99 # Total time : 0.395 s
% 3.21/0.99 # Maximum resident set size: 2588 pages
% 3.21/0.99
% 3.21/0.99 # -------------------------------------------------
% 3.21/0.99 # User time : 0.382 s
% 3.21/0.99 # System time : 0.019 s
% 3.21/0.99 # Total time : 0.401 s
% 3.21/0.99 # Maximum resident set size: 1904 pages
% 3.21/0.99 % E---3.1 exiting
%------------------------------------------------------------------------------