TSTP Solution File: NUN075+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN075+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n023.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 : Wed Aug 31 18:08:06 EDT 2022
% Result : Theorem 2.36s 0.68s
% Output : Refutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 35
% Syntax : Number of formulae : 163 ( 29 unt; 0 def)
% Number of atoms : 755 ( 60 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 1115 ( 523 ~; 429 |; 134 &)
% ( 20 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 595 ( 493 !; 102 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f938,plain,
$false,
inference(avatar_sat_refutation,[],[f758,f778,f881]) ).
fof(f881,plain,
~ spl38_6,
inference(avatar_contradiction_clause,[],[f877]) ).
fof(f877,plain,
( $false
| ~ spl38_6 ),
inference(resolution,[],[f875,f106]) ).
fof(f106,plain,
r1(sK1),
inference(equality_resolution,[],[f64]) ).
fof(f64,plain,
! [X1] :
( r1(X1)
| sK1 != X1 ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1] :
( ( sK1 = X1
& r1(X1) )
| ( ~ r1(X1)
& sK1 != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f1,f29]) ).
fof(f29,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( ~ r1(X1)
& X0 != X1 ) )
=> ! [X1] :
( ( sK1 = X1
& r1(X1) )
| ( ~ r1(X1)
& sK1 != X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( ~ r1(X1)
& X0 != X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f875,plain,
( ! [X0] : ~ r1(X0)
| ~ spl38_6 ),
inference(duplicate_literal_removal,[],[f873]) ).
fof(f873,plain,
( ! [X0] :
( ~ r1(X0)
| ~ r1(X0) )
| ~ spl38_6 ),
inference(resolution,[],[f866,f163]) ).
fof(f163,plain,
! [X0] :
( sP20(sK15(X0))
| ~ r1(X0) ),
inference(resolution,[],[f113,f112]) ).
fof(f112,plain,
! [X0] : r2(X0,sK15(X0)),
inference(equality_resolution,[],[f91]) ).
fof(f91,plain,
! [X2,X0] :
( r2(X0,X2)
| sK15(X0) != X2 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X2] :
( ( sK15(X0) = X2
& r2(X0,X2) )
| ( sK15(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f21,f52]) ).
fof(f52,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) )
=> ! [X2] :
( ( sK15(X0) = X2
& r2(X0,X2) )
| ( sK15(X0) != X2
& ~ r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 != X4
& ~ r2(X2,X4) )
| ( X3 = X4
& r2(X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f113,plain,
! [X21,X20] :
( ~ r2(X21,X20)
| sP20(X20)
| ~ r1(X21) ),
inference(cnf_transformation,[],[f113_D]) ).
fof(f113_D,plain,
! [X20] :
( ! [X21] :
( ~ r2(X21,X20)
| ~ r1(X21) )
<=> ~ sP20(X20) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).
fof(f866,plain,
( ! [X0] :
( ~ sP20(sK15(X0))
| ~ r1(X0) )
| ~ spl38_6 ),
inference(resolution,[],[f864,f166]) ).
fof(f166,plain,
! [X0] :
( sP21(sK15(X0))
| ~ r1(X0) ),
inference(resolution,[],[f115,f112]) ).
fof(f115,plain,
! [X10,X11] :
( ~ r2(X11,X10)
| ~ r1(X11)
| sP21(X10) ),
inference(cnf_transformation,[],[f115_D]) ).
fof(f115_D,plain,
! [X10] :
( ! [X11] :
( ~ r2(X11,X10)
| ~ r1(X11) )
<=> ~ sP21(X10) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).
fof(f864,plain,
( ! [X0] :
( ~ sP21(X0)
| ~ sP20(X0) )
| ~ spl38_6 ),
inference(resolution,[],[f861,f169]) ).
fof(f169,plain,
! [X0] :
( sP22(sK15(X0))
| ~ sP21(X0) ),
inference(resolution,[],[f117,f112]) ).
fof(f117,plain,
! [X10,X9] :
( ~ r2(X10,X9)
| ~ sP21(X10)
| sP22(X9) ),
inference(cnf_transformation,[],[f117_D]) ).
fof(f117_D,plain,
! [X9] :
( ! [X10] :
( ~ r2(X10,X9)
| ~ sP21(X10) )
<=> ~ sP22(X9) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).
fof(f861,plain,
( ! [X0] :
( ~ sP22(sK15(X0))
| ~ sP20(X0) )
| ~ spl38_6 ),
inference(resolution,[],[f856,f193]) ).
fof(f193,plain,
! [X0] :
( sP30(sK15(X0))
| ~ sP20(X0) ),
inference(resolution,[],[f133,f112]) ).
fof(f133,plain,
! [X19,X20] :
( ~ r2(X20,X19)
| ~ sP20(X20)
| sP30(X19) ),
inference(cnf_transformation,[],[f133_D]) ).
fof(f133_D,plain,
! [X19] :
( ! [X20] :
( ~ r2(X20,X19)
| ~ sP20(X20) )
<=> ~ sP30(X19) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).
fof(f856,plain,
( ! [X0] :
( ~ sP30(X0)
| ~ sP22(X0) )
| ~ spl38_6 ),
inference(resolution,[],[f853,f172]) ).
fof(f172,plain,
! [X0] :
( sP23(sK15(X0))
| ~ sP22(X0) ),
inference(resolution,[],[f119,f112]) ).
fof(f119,plain,
! [X8,X9] :
( ~ r2(X9,X8)
| sP23(X8)
| ~ sP22(X9) ),
inference(cnf_transformation,[],[f119_D]) ).
fof(f119_D,plain,
! [X8] :
( ! [X9] :
( ~ r2(X9,X8)
| ~ sP22(X9) )
<=> ~ sP23(X8) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).
fof(f853,plain,
( ! [X0] :
( ~ sP23(sK15(X0))
| ~ sP30(X0) )
| ~ spl38_6 ),
inference(resolution,[],[f842,f196]) ).
fof(f196,plain,
! [X0] :
( sP31(sK15(X0))
| ~ sP30(X0) ),
inference(resolution,[],[f135,f112]) ).
fof(f135,plain,
! [X18,X19] :
( ~ r2(X19,X18)
| sP31(X18)
| ~ sP30(X19) ),
inference(cnf_transformation,[],[f135_D]) ).
fof(f135_D,plain,
! [X18] :
( ! [X19] :
( ~ r2(X19,X18)
| ~ sP30(X19) )
<=> ~ sP31(X18) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP31])]) ).
fof(f842,plain,
( ! [X0] :
( ~ sP31(X0)
| ~ sP23(X0) )
| ~ spl38_6 ),
inference(resolution,[],[f839,f175]) ).
fof(f175,plain,
! [X0] :
( sP24(sK15(X0))
| ~ sP23(X0) ),
inference(resolution,[],[f121,f112]) ).
fof(f121,plain,
! [X8,X7] :
( ~ r2(X8,X7)
| ~ sP23(X8)
| sP24(X7) ),
inference(cnf_transformation,[],[f121_D]) ).
fof(f121_D,plain,
! [X7] :
( ! [X8] :
( ~ r2(X8,X7)
| ~ sP23(X8) )
<=> ~ sP24(X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).
fof(f839,plain,
( ! [X0] :
( ~ sP24(sK15(X0))
| ~ sP31(X0) )
| ~ spl38_6 ),
inference(resolution,[],[f837,f199]) ).
fof(f199,plain,
! [X0] :
( sP32(sK15(X0))
| ~ sP31(X0) ),
inference(resolution,[],[f137,f112]) ).
fof(f137,plain,
! [X18,X17] :
( ~ r2(X18,X17)
| sP32(X17)
| ~ sP31(X18) ),
inference(cnf_transformation,[],[f137_D]) ).
fof(f137_D,plain,
! [X17] :
( ! [X18] :
( ~ r2(X18,X17)
| ~ sP31(X18) )
<=> ~ sP32(X17) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP32])]) ).
fof(f837,plain,
( ! [X0] :
( ~ sP32(X0)
| ~ sP24(X0) )
| ~ spl38_6 ),
inference(resolution,[],[f808,f178]) ).
fof(f178,plain,
! [X0] :
( sP25(sK15(X0))
| ~ sP24(X0) ),
inference(resolution,[],[f123,f112]) ).
fof(f123,plain,
! [X6,X7] :
( ~ r2(X7,X6)
| ~ sP24(X7)
| sP25(X6) ),
inference(cnf_transformation,[],[f123_D]) ).
fof(f123_D,plain,
! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ sP24(X7) )
<=> ~ sP25(X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).
fof(f808,plain,
( ! [X0] :
( ~ sP25(sK15(X0))
| ~ sP32(X0) )
| ~ spl38_6 ),
inference(resolution,[],[f806,f202]) ).
fof(f202,plain,
! [X0] :
( sP33(sK15(X0))
| ~ sP32(X0) ),
inference(resolution,[],[f139,f112]) ).
fof(f139,plain,
! [X16,X17] :
( ~ r2(X17,X16)
| sP33(X16)
| ~ sP32(X17) ),
inference(cnf_transformation,[],[f139_D]) ).
fof(f139_D,plain,
! [X16] :
( ! [X17] :
( ~ r2(X17,X16)
| ~ sP32(X17) )
<=> ~ sP33(X16) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).
fof(f806,plain,
( ! [X0] :
( ~ sP33(X0)
| ~ sP25(X0) )
| ~ spl38_6 ),
inference(resolution,[],[f803,f181]) ).
fof(f181,plain,
! [X0] :
( sP26(sK15(X0))
| ~ sP25(X0) ),
inference(resolution,[],[f125,f112]) ).
fof(f125,plain,
! [X6,X5] :
( ~ r2(X6,X5)
| ~ sP25(X6)
| sP26(X5) ),
inference(cnf_transformation,[],[f125_D]) ).
fof(f125_D,plain,
! [X5] :
( ! [X6] :
( ~ r2(X6,X5)
| ~ sP25(X6) )
<=> ~ sP26(X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).
fof(f803,plain,
( ! [X0] :
( ~ sP26(sK15(X0))
| ~ sP33(X0) )
| ~ spl38_6 ),
inference(resolution,[],[f788,f205]) ).
fof(f205,plain,
! [X0] :
( sP34(sK15(X0))
| ~ sP33(X0) ),
inference(resolution,[],[f141,f112]) ).
fof(f141,plain,
! [X16,X15] :
( ~ r2(X16,X15)
| sP34(X15)
| ~ sP33(X16) ),
inference(cnf_transformation,[],[f141_D]) ).
fof(f141_D,plain,
! [X15] :
( ! [X16] :
( ~ r2(X16,X15)
| ~ sP33(X16) )
<=> ~ sP34(X15) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP34])]) ).
fof(f788,plain,
( ! [X0] :
( ~ sP34(X0)
| ~ sP26(X0) )
| ~ spl38_6 ),
inference(resolution,[],[f786,f190]) ).
fof(f190,plain,
! [X0] :
( sP29(sK15(X0))
| ~ sP26(X0) ),
inference(resolution,[],[f131,f112]) ).
fof(f131,plain,
! [X1,X5] :
( ~ r2(X5,X1)
| sP29(X1)
| ~ sP26(X5) ),
inference(cnf_transformation,[],[f131_D]) ).
fof(f131_D,plain,
! [X1] :
( ! [X5] :
( ~ r2(X5,X1)
| ~ sP26(X5) )
<=> ~ sP29(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).
fof(f786,plain,
( ! [X0] :
( ~ sP29(sK15(X0))
| ~ sP34(X0) )
| ~ spl38_6 ),
inference(resolution,[],[f781,f208]) ).
fof(f208,plain,
! [X0] :
( sP35(sK15(X0))
| ~ sP34(X0) ),
inference(resolution,[],[f143,f112]) ).
fof(f143,plain,
! [X14,X15] :
( ~ r2(X15,X14)
| sP35(X14)
| ~ sP34(X15) ),
inference(cnf_transformation,[],[f143_D]) ).
fof(f143_D,plain,
! [X14] :
( ! [X15] :
( ~ r2(X15,X14)
| ~ sP34(X15) )
<=> ~ sP35(X14) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP35])]) ).
fof(f781,plain,
( ! [X0] :
( ~ sP35(X0)
| ~ sP29(X0) )
| ~ spl38_6 ),
inference(resolution,[],[f779,f211]) ).
fof(f211,plain,
! [X0] :
( sP36(sK15(X0))
| ~ sP35(X0) ),
inference(resolution,[],[f145,f112]) ).
fof(f145,plain,
! [X14,X13] :
( ~ r2(X14,X13)
| sP36(X13)
| ~ sP35(X14) ),
inference(cnf_transformation,[],[f145_D]) ).
fof(f145_D,plain,
! [X13] :
( ! [X14] :
( ~ r2(X14,X13)
| ~ sP35(X14) )
<=> ~ sP36(X13) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP36])]) ).
fof(f779,plain,
( ! [X0] :
( ~ sP36(sK15(X0))
| ~ sP29(X0) )
| ~ spl38_6 ),
inference(resolution,[],[f757,f214]) ).
fof(f214,plain,
! [X0] :
( sP37(sK15(X0))
| ~ sP36(X0) ),
inference(resolution,[],[f147,f112]) ).
fof(f147,plain,
! [X12,X13] :
( ~ r2(X13,X12)
| ~ sP36(X13)
| sP37(X12) ),
inference(cnf_transformation,[],[f147_D]) ).
fof(f147_D,plain,
! [X12] :
( ! [X13] :
( ~ r2(X13,X12)
| ~ sP36(X13) )
<=> ~ sP37(X12) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP37])]) ).
fof(f757,plain,
( ! [X0] :
( ~ sP37(sK15(sK15(X0)))
| ~ sP29(X0) )
| ~ spl38_6 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f756,plain,
( spl38_6
<=> ! [X0] :
( ~ sP37(sK15(sK15(X0)))
| ~ sP29(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_6])]) ).
fof(f778,plain,
spl38_5,
inference(avatar_contradiction_clause,[],[f776]) ).
fof(f776,plain,
( $false
| spl38_5 ),
inference(resolution,[],[f775,f106]) ).
fof(f775,plain,
( ~ r1(sK1)
| spl38_5 ),
inference(resolution,[],[f774,f184]) ).
fof(f184,plain,
! [X0] :
( sP27(sK15(X0))
| ~ r1(X0) ),
inference(resolution,[],[f127,f112]) ).
fof(f127,plain,
! [X3,X4] :
( ~ r2(X4,X3)
| ~ r1(X4)
| sP27(X3) ),
inference(cnf_transformation,[],[f127_D]) ).
fof(f127_D,plain,
! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) )
<=> ~ sP27(X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).
fof(f774,plain,
( ~ sP27(sK15(sK1))
| spl38_5 ),
inference(resolution,[],[f754,f187]) ).
fof(f187,plain,
! [X0] :
( sP28(sK15(X0))
| ~ sP27(X0) ),
inference(resolution,[],[f129,f112]) ).
fof(f129,plain,
! [X2,X3] :
( ~ r2(X3,X2)
| sP28(X2)
| ~ sP27(X3) ),
inference(cnf_transformation,[],[f129_D]) ).
fof(f129_D,plain,
! [X2] :
( ! [X3] :
( ~ r2(X3,X2)
| ~ sP27(X3) )
<=> ~ sP28(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).
fof(f754,plain,
( ~ sP28(sK15(sK15(sK1)))
| spl38_5 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f752,plain,
( spl38_5
<=> sP28(sK15(sK15(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_5])]) ).
fof(f758,plain,
( ~ spl38_5
| spl38_6 ),
inference(avatar_split_clause,[],[f748,f756,f752]) ).
fof(f748,plain,
! [X0] :
( ~ sP37(sK15(sK15(X0)))
| ~ sP28(sK15(sK15(sK1)))
| ~ sP29(X0) ),
inference(resolution,[],[f661,f148]) ).
fof(f148,plain,
! [X2,X1,X12] :
( ~ r3(X1,X2,X12)
| ~ sP28(X2)
| ~ sP37(X12)
| ~ sP29(X1) ),
inference(general_splitting,[],[f146,f147_D]) ).
fof(f146,plain,
! [X2,X1,X12,X13] :
( ~ r3(X1,X2,X12)
| ~ r2(X13,X12)
| ~ sP28(X2)
| ~ sP29(X1)
| ~ sP36(X13) ),
inference(general_splitting,[],[f144,f145_D]) ).
fof(f144,plain,
! [X2,X1,X14,X12,X13] :
( ~ r3(X1,X2,X12)
| ~ r2(X13,X12)
| ~ r2(X14,X13)
| ~ sP28(X2)
| ~ sP29(X1)
| ~ sP35(X14) ),
inference(general_splitting,[],[f142,f143_D]) ).
fof(f142,plain,
! [X2,X1,X14,X15,X12,X13] :
( ~ r3(X1,X2,X12)
| ~ r2(X13,X12)
| ~ r2(X15,X14)
| ~ r2(X14,X13)
| ~ sP28(X2)
| ~ sP29(X1)
| ~ sP34(X15) ),
inference(general_splitting,[],[f140,f141_D]) ).
fof(f140,plain,
! [X2,X1,X16,X14,X15,X12,X13] :
( ~ r3(X1,X2,X12)
| ~ r2(X13,X12)
| ~ r2(X16,X15)
| ~ r2(X15,X14)
| ~ r2(X14,X13)
| ~ sP28(X2)
| ~ sP29(X1)
| ~ sP33(X16) ),
inference(general_splitting,[],[f138,f139_D]) ).
fof(f138,plain,
! [X2,X1,X16,X14,X17,X15,X12,X13] :
( ~ r3(X1,X2,X12)
| ~ r2(X13,X12)
| ~ r2(X17,X16)
| ~ r2(X16,X15)
| ~ r2(X15,X14)
| ~ r2(X14,X13)
| ~ sP28(X2)
| ~ sP29(X1)
| ~ sP32(X17) ),
inference(general_splitting,[],[f136,f137_D]) ).
fof(f136,plain,
! [X2,X1,X18,X16,X14,X17,X15,X12,X13] :
( ~ r3(X1,X2,X12)
| ~ r2(X13,X12)
| ~ r2(X17,X16)
| ~ r2(X18,X17)
| ~ r2(X16,X15)
| ~ r2(X15,X14)
| ~ r2(X14,X13)
| ~ sP28(X2)
| ~ sP29(X1)
| ~ sP31(X18) ),
inference(general_splitting,[],[f134,f135_D]) ).
fof(f134,plain,
! [X2,X1,X18,X19,X16,X14,X17,X15,X12,X13] :
( ~ r3(X1,X2,X12)
| ~ r2(X13,X12)
| ~ r2(X17,X16)
| ~ r2(X19,X18)
| ~ r2(X18,X17)
| ~ r2(X16,X15)
| ~ r2(X15,X14)
| ~ r2(X14,X13)
| ~ sP28(X2)
| ~ sP29(X1)
| ~ sP30(X19) ),
inference(general_splitting,[],[f132,f133_D]) ).
fof(f132,plain,
! [X2,X1,X18,X19,X16,X14,X17,X15,X12,X13,X20] :
( ~ r3(X1,X2,X12)
| ~ r2(X13,X12)
| ~ r2(X17,X16)
| ~ r2(X19,X18)
| ~ r2(X20,X19)
| ~ r2(X18,X17)
| ~ r2(X16,X15)
| ~ r2(X15,X14)
| ~ r2(X14,X13)
| ~ sP20(X20)
| ~ sP28(X2)
| ~ sP29(X1) ),
inference(general_splitting,[],[f130,f131_D]) ).
fof(f130,plain,
! [X2,X1,X18,X19,X16,X14,X17,X15,X5,X12,X13,X20] :
( ~ r3(X1,X2,X12)
| ~ r2(X5,X1)
| ~ r2(X13,X12)
| ~ r2(X17,X16)
| ~ r2(X19,X18)
| ~ r2(X20,X19)
| ~ r2(X18,X17)
| ~ r2(X16,X15)
| ~ r2(X15,X14)
| ~ r2(X14,X13)
| ~ sP20(X20)
| ~ sP26(X5)
| ~ sP28(X2) ),
inference(general_splitting,[],[f128,f129_D]) ).
fof(f128,plain,
! [X2,X3,X1,X18,X19,X16,X14,X17,X15,X5,X12,X13,X20] :
( ~ r3(X1,X2,X12)
| ~ r2(X3,X2)
| ~ r2(X5,X1)
| ~ r2(X13,X12)
| ~ r2(X17,X16)
| ~ r2(X19,X18)
| ~ r2(X20,X19)
| ~ r2(X18,X17)
| ~ r2(X16,X15)
| ~ r2(X15,X14)
| ~ r2(X14,X13)
| ~ sP20(X20)
| ~ sP26(X5)
| ~ sP27(X3) ),
inference(general_splitting,[],[f126,f127_D]) ).
fof(f126,plain,
! [X2,X3,X1,X18,X19,X16,X14,X4,X17,X15,X5,X12,X13,X20] :
( ~ r3(X1,X2,X12)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r2(X3,X2)
| ~ r2(X5,X1)
| ~ r2(X13,X12)
| ~ r2(X17,X16)
| ~ r2(X19,X18)
| ~ r2(X20,X19)
| ~ r2(X18,X17)
| ~ r2(X16,X15)
| ~ r2(X15,X14)
| ~ r2(X14,X13)
| ~ sP20(X20)
| ~ sP26(X5) ),
inference(general_splitting,[],[f124,f125_D]) ).
fof(f124,plain,
! [X2,X3,X1,X18,X6,X19,X16,X14,X4,X17,X15,X5,X12,X13,X20] :
( ~ r3(X1,X2,X12)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r2(X3,X2)
| ~ r2(X6,X5)
| ~ r2(X5,X1)
| ~ r2(X13,X12)
| ~ r2(X17,X16)
| ~ r2(X19,X18)
| ~ r2(X20,X19)
| ~ r2(X18,X17)
| ~ r2(X16,X15)
| ~ r2(X15,X14)
| ~ r2(X14,X13)
| ~ sP20(X20)
| ~ sP25(X6) ),
inference(general_splitting,[],[f122,f123_D]) ).
fof(f122,plain,
! [X2,X3,X1,X18,X6,X19,X7,X16,X4,X14,X17,X15,X5,X12,X13,X20] :
( ~ r3(X1,X2,X12)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r2(X3,X2)
| ~ r2(X7,X6)
| ~ r2(X6,X5)
| ~ r2(X5,X1)
| ~ r2(X13,X12)
| ~ r2(X17,X16)
| ~ r2(X19,X18)
| ~ r2(X20,X19)
| ~ r2(X18,X17)
| ~ r2(X16,X15)
| ~ r2(X15,X14)
| ~ r2(X14,X13)
| ~ sP20(X20)
| ~ sP24(X7) ),
inference(general_splitting,[],[f120,f121_D]) ).
fof(f120,plain,
! [X2,X3,X1,X8,X6,X19,X7,X16,X4,X18,X14,X17,X15,X5,X12,X13,X20] :
( ~ r3(X1,X2,X12)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r2(X3,X2)
| ~ r2(X8,X7)
| ~ r2(X7,X6)
| ~ r2(X6,X5)
| ~ r2(X5,X1)
| ~ r2(X13,X12)
| ~ r2(X17,X16)
| ~ r2(X19,X18)
| ~ r2(X20,X19)
| ~ r2(X18,X17)
| ~ r2(X16,X15)
| ~ r2(X15,X14)
| ~ r2(X14,X13)
| ~ sP20(X20)
| ~ sP23(X8) ),
inference(general_splitting,[],[f118,f119_D]) ).
fof(f118,plain,
! [X2,X3,X1,X8,X6,X9,X7,X16,X4,X19,X18,X14,X17,X15,X5,X12,X13,X20] :
( ~ r3(X1,X2,X12)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r2(X3,X2)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(X7,X6)
| ~ r2(X6,X5)
| ~ r2(X5,X1)
| ~ r2(X13,X12)
| ~ r2(X17,X16)
| ~ r2(X19,X18)
| ~ r2(X20,X19)
| ~ r2(X18,X17)
| ~ r2(X16,X15)
| ~ r2(X15,X14)
| ~ r2(X14,X13)
| ~ sP20(X20)
| ~ sP22(X9) ),
inference(general_splitting,[],[f116,f117_D]) ).
fof(f116,plain,
! [X2,X3,X10,X1,X8,X6,X9,X7,X16,X4,X19,X18,X14,X17,X15,X5,X12,X13,X20] :
( ~ r3(X1,X2,X12)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r2(X3,X2)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r2(X7,X6)
| ~ r2(X6,X5)
| ~ r2(X5,X1)
| ~ r2(X13,X12)
| ~ r2(X17,X16)
| ~ r2(X19,X18)
| ~ r2(X20,X19)
| ~ r2(X18,X17)
| ~ r2(X16,X15)
| ~ r2(X15,X14)
| ~ r2(X14,X13)
| ~ sP20(X20)
| ~ sP21(X10) ),
inference(general_splitting,[],[f114,f115_D]) ).
fof(f114,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X16,X4,X19,X18,X14,X17,X15,X5,X12,X13,X20] :
( ~ r3(X1,X2,X12)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r2(X3,X2)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r2(X11,X10)
| ~ r1(X11)
| ~ r2(X7,X6)
| ~ r2(X6,X5)
| ~ r2(X5,X1)
| ~ r2(X13,X12)
| ~ r2(X17,X16)
| ~ r2(X19,X18)
| ~ r2(X20,X19)
| ~ r2(X18,X17)
| ~ r2(X16,X15)
| ~ r2(X15,X14)
| ~ r2(X14,X13)
| ~ sP20(X20) ),
inference(general_splitting,[],[f108,f113_D]) ).
fof(f108,plain,
! [X2,X21,X3,X10,X11,X1,X8,X6,X9,X7,X16,X4,X19,X18,X14,X17,X15,X5,X12,X13,X20] :
( ~ r3(X1,X2,X12)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r2(X3,X2)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r2(X11,X10)
| ~ r1(X11)
| ~ r2(X7,X6)
| ~ r2(X6,X5)
| ~ r2(X5,X1)
| ~ r2(X13,X12)
| ~ r2(X17,X16)
| ~ r2(X19,X18)
| ~ r2(X21,X20)
| ~ r1(X21)
| ~ r2(X20,X19)
| ~ r2(X18,X17)
| ~ r2(X16,X15)
| ~ r2(X15,X14)
| ~ r2(X14,X13) ),
inference(equality_resolution,[],[f74]) ).
fof(f74,plain,
! [X2,X21,X3,X10,X0,X11,X1,X8,X6,X9,X7,X16,X4,X19,X18,X14,X17,X15,X5,X12,X13,X20] :
( ~ r3(X1,X2,X0)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r2(X3,X2)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r2(X11,X10)
| ~ r1(X11)
| ~ r2(X7,X6)
| ~ r2(X6,X5)
| ~ r2(X5,X1)
| ~ r2(X13,X12)
| ~ r2(X17,X16)
| ~ r2(X19,X18)
| ~ r2(X21,X20)
| ~ r1(X21)
| ~ r2(X20,X19)
| ~ r2(X18,X17)
| ~ r2(X16,X15)
| ~ r2(X15,X14)
| ~ r2(X14,X13)
| X0 != X12 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r3(X1,X2,X0)
| ! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) )
| ~ r2(X3,X2) ) )
| ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ r2(X8,X7)
| ! [X9] :
( ~ r2(X9,X8)
| ! [X10] :
( ~ r2(X10,X9)
| ! [X11] :
( ~ r2(X11,X10)
| ~ r1(X11) ) ) ) )
| ~ r2(X7,X6) )
| ~ r2(X6,X5) )
| ~ r2(X5,X1) ) )
| ! [X12] :
( ! [X13] :
( ~ r2(X13,X12)
| ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ r2(X17,X16)
| ! [X18] :
( ! [X19] :
( ~ r2(X19,X18)
| ! [X20] :
( ! [X21] :
( ~ r2(X21,X20)
| ~ r1(X21) )
| ~ r2(X20,X19) ) )
| ~ r2(X18,X17) ) )
| ~ r2(X16,X15) )
| ~ r2(X15,X14) )
| ~ r2(X14,X13) ) )
| X0 != X12 ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ! [X9] :
( ~ r3(X1,X9,X0)
| ! [X10] :
( ! [X11] :
( ~ r2(X11,X10)
| ~ r1(X11) )
| ~ r2(X10,X9) ) )
| ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r2(X6,X5)
| ! [X7] :
( ~ r2(X7,X6)
| ! [X8] :
( ~ r2(X8,X7)
| ~ r1(X8) ) ) ) )
| ~ r2(X4,X3) )
| ~ r2(X3,X2) )
| ~ r2(X2,X1) ) )
| ! [X12] :
( ! [X13] :
( ~ r2(X13,X12)
| ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ r2(X17,X16)
| ! [X18] :
( ! [X19] :
( ~ r2(X19,X18)
| ! [X20] :
( ! [X21] :
( ~ r2(X21,X20)
| ~ r1(X21) )
| ~ r2(X20,X19) ) )
| ~ r2(X18,X17) ) )
| ~ r2(X16,X15) )
| ~ r2(X15,X14) )
| ~ r2(X14,X13) ) )
| X0 != X12 ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
~ ? [X0] :
( ? [X12] :
( X0 = X12
& ? [X13] :
( ? [X14] :
( r2(X14,X13)
& ? [X15] :
( r2(X15,X14)
& ? [X16] :
( ? [X17] :
( r2(X17,X16)
& ? [X18] :
( ? [X19] :
( r2(X19,X18)
& ? [X20] :
( r2(X20,X19)
& ? [X21] :
( r2(X21,X20)
& r1(X21) ) ) )
& r2(X18,X17) ) )
& r2(X16,X15) ) ) )
& r2(X13,X12) ) )
& ? [X1] :
( ? [X2] :
( r2(X2,X1)
& ? [X3] :
( r2(X3,X2)
& ? [X4] :
( ? [X5] :
( r2(X5,X4)
& ? [X6] :
( ? [X7] :
( r2(X7,X6)
& ? [X8] :
( r1(X8)
& r2(X8,X7) ) )
& r2(X6,X5) ) )
& r2(X4,X3) ) ) )
& ? [X9] :
( ? [X10] :
( ? [X11] :
( r2(X11,X10)
& r1(X11) )
& r2(X10,X9) )
& r3(X1,X9,X0) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X16] :
( ? [X18] :
( ? [X30] :
( r2(X30,X18)
& ? [X39] :
( r2(X39,X30)
& ? [X28] :
( r2(X28,X39)
& ? [X17] :
( r2(X17,X28)
& ? [X35] :
( r2(X35,X17)
& ? [X3] :
( r1(X3)
& r2(X3,X35) ) ) ) ) ) )
& r2(X18,X16) )
& ? [X31] :
( ? [X37] :
( ? [X7] :
( r1(X7)
& r2(X7,X37) )
& r2(X37,X31) )
& r3(X16,X31,X38) ) )
& ? [X21] :
( ? [X22] :
( ? [X15] :
( ? [X24] :
( r2(X24,X15)
& ? [X33] :
( ? [X41] :
( ? [X27] :
( r2(X27,X41)
& ? [X23] :
( ? [X34] :
( r2(X34,X23)
& ? [X42] :
( r2(X42,X34)
& r1(X42) ) )
& r2(X23,X27) ) )
& r2(X41,X33) )
& r2(X33,X24) ) )
& r2(X15,X22) )
& r2(X22,X21) )
& X21 = X38 ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ? [X16] :
( ? [X18] :
( ? [X30] :
( r2(X30,X18)
& ? [X39] :
( r2(X39,X30)
& ? [X28] :
( r2(X28,X39)
& ? [X17] :
( r2(X17,X28)
& ? [X35] :
( r2(X35,X17)
& ? [X3] :
( r1(X3)
& r2(X3,X35) ) ) ) ) ) )
& r2(X18,X16) )
& ? [X31] :
( ? [X37] :
( ? [X7] :
( r1(X7)
& r2(X7,X37) )
& r2(X37,X31) )
& r3(X16,X31,X38) ) )
& ? [X21] :
( ? [X22] :
( ? [X15] :
( ? [X24] :
( r2(X24,X15)
& ? [X33] :
( ? [X41] :
( ? [X27] :
( r2(X27,X41)
& ? [X23] :
( ? [X34] :
( r2(X34,X23)
& ? [X42] :
( r2(X42,X34)
& r1(X42) ) )
& r2(X23,X27) ) )
& r2(X41,X33) )
& r2(X33,X24) ) )
& r2(X15,X22) )
& r2(X22,X21) )
& X21 = X38 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sevenplustwoeqnine) ).
fof(f661,plain,
! [X0] : r3(X0,sK15(sK15(sK1)),sK15(sK15(X0))),
inference(superposition,[],[f222,f519]) ).
fof(f519,plain,
! [X0] : sK15(sK15(X0)) = sK16(sK15(sK1),X0),
inference(resolution,[],[f514,f92]) ).
fof(f92,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| sK15(X0) = X2 ),
inference(cnf_transformation,[],[f53]) ).
fof(f514,plain,
! [X0] : r2(sK15(X0),sK16(sK15(sK1),X0)),
inference(superposition,[],[f311,f478]) ).
fof(f478,plain,
! [X1] : sK0(X1,sK15(sK1)) = sK15(X1),
inference(resolution,[],[f457,f63]) ).
fof(f63,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| sK0(X0,X1) = X3 ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X3] :
( ( sK0(X0,X1) = X3
& r3(X0,X1,X3) )
| ( ~ r3(X0,X1,X3)
& sK0(X0,X1) != X3 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( ~ r3(X0,X1,X3)
& X2 != X3 ) )
=> ! [X3] :
( ( sK0(X0,X1) = X3
& r3(X0,X1,X3) )
| ( ~ r3(X0,X1,X3)
& sK0(X0,X1) != X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( ~ r3(X0,X1,X3)
& X2 != X3 ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X5,X6] :
? [X7] :
! [X8] :
( ( X7 != X8
& ~ r3(X5,X6,X8) )
| ( X7 = X8
& r3(X5,X6,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f457,plain,
! [X0] : r3(X0,sK15(sK1),sK15(X0)),
inference(superposition,[],[f222,f383]) ).
fof(f383,plain,
! [X0] : sK16(sK1,X0) = sK15(X0),
inference(resolution,[],[f381,f92]) ).
fof(f381,plain,
! [X0] : r2(X0,sK16(sK1,X0)),
inference(superposition,[],[f311,f305]) ).
fof(f305,plain,
! [X0] : sK0(X0,sK1) = X0,
inference(resolution,[],[f63,f154]) ).
fof(f154,plain,
! [X0] : r3(X0,sK1,X0),
inference(backward_demodulation,[],[f149,f153]) ).
fof(f153,plain,
! [X2] : sK1 = sK14(X2),
inference(resolution,[],[f67,f89]) ).
fof(f89,plain,
! [X0] : r1(sK14(X0)),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( r1(sK14(X0))
& r3(X0,sK14(X0),sK13(X0))
& sK13(X0) = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f24,f50,f49]) ).
fof(f49,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,X1) )
& X0 = X1 )
=> ( ? [X2] :
( r1(X2)
& r3(X0,X2,sK13(X0)) )
& sK13(X0) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,sK13(X0)) )
=> ( r1(sK14(X0))
& r3(X0,sK14(X0),sK13(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,X1) )
& X0 = X1 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X29] :
? [X30] :
( X29 = X30
& ? [X31] :
( r1(X31)
& r3(X29,X31,X30) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).
fof(f67,plain,
! [X1] :
( ~ r1(X1)
| sK1 = X1 ),
inference(cnf_transformation,[],[f30]) ).
fof(f149,plain,
! [X0] : r3(X0,sK14(X0),X0),
inference(forward_demodulation,[],[f88,f87]) ).
fof(f87,plain,
! [X0] : sK13(X0) = X0,
inference(cnf_transformation,[],[f51]) ).
fof(f88,plain,
! [X0] : r3(X0,sK14(X0),sK13(X0)),
inference(cnf_transformation,[],[f51]) ).
fof(f311,plain,
! [X0,X1] : r2(sK0(X1,X0),sK16(X0,X1)),
inference(backward_demodulation,[],[f95,f306]) ).
fof(f306,plain,
! [X2,X1] : sK0(X1,X2) = sK19(X2,X1),
inference(resolution,[],[f63,f94]) ).
fof(f94,plain,
! [X0,X1] : r3(X1,X0,sK19(X0,X1)),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( r2(X0,sK18(X0,X1))
& r3(X1,sK18(X0,X1),sK17(X0,X1))
& sK17(X0,X1) = sK16(X0,X1)
& r2(sK19(X0,X1),sK16(X0,X1))
& r3(X1,X0,sK19(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19])],[f23,f57,f56,f55,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) )
& X2 = X3 )
& ? [X5] :
( r2(X5,X2)
& r3(X1,X0,X5) ) )
=> ( ? [X3] :
( ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) )
& sK16(X0,X1) = X3 )
& ? [X5] :
( r2(X5,sK16(X0,X1))
& r3(X1,X0,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X3] :
( ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) )
& sK16(X0,X1) = X3 )
=> ( ? [X4] :
( r2(X0,X4)
& r3(X1,X4,sK17(X0,X1)) )
& sK17(X0,X1) = sK16(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X4] :
( r2(X0,X4)
& r3(X1,X4,sK17(X0,X1)) )
=> ( r2(X0,sK18(X0,X1))
& r3(X1,sK18(X0,X1),sK17(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ? [X5] :
( r2(X5,sK16(X0,X1))
& r3(X1,X0,X5) )
=> ( r2(sK19(X0,X1),sK16(X0,X1))
& r3(X1,X0,sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) )
& X2 = X3 )
& ? [X5] :
( r2(X5,X2)
& r3(X1,X0,X5) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X14,X13] :
? [X15] :
( ? [X16] :
( ? [X17] :
( r2(X14,X17)
& r3(X13,X17,X16) )
& X15 = X16 )
& ? [X18] :
( r3(X13,X14,X18)
& r2(X18,X15) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).
fof(f95,plain,
! [X0,X1] : r2(sK19(X0,X1),sK16(X0,X1)),
inference(cnf_transformation,[],[f58]) ).
fof(f222,plain,
! [X0,X1] : r3(X1,sK15(X0),sK16(X0,X1)),
inference(backward_demodulation,[],[f101,f220]) ).
fof(f220,plain,
! [X3,X4] : sK18(X3,X4) = sK15(X3),
inference(resolution,[],[f92,f98]) ).
fof(f98,plain,
! [X0,X1] : r2(X0,sK18(X0,X1)),
inference(cnf_transformation,[],[f58]) ).
fof(f101,plain,
! [X0,X1] : r3(X1,sK18(X0,X1),sK16(X0,X1)),
inference(definition_unfolding,[],[f97,f96]) ).
fof(f96,plain,
! [X0,X1] : sK17(X0,X1) = sK16(X0,X1),
inference(cnf_transformation,[],[f58]) ).
fof(f97,plain,
! [X0,X1] : r3(X1,sK18(X0,X1),sK17(X0,X1)),
inference(cnf_transformation,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN075+2 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 10:07:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 % (7530)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55 % (7520)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (7519)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58 % (7545)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.58 % (7529)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.59 % (7518)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.59 % (7538)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.59 % (7526)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.59 % (7516)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.60 % (7527)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.60 % (7520)Instruction limit reached!
% 0.20/0.60 % (7520)------------------------------
% 0.20/0.60 % (7520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (7539)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.61 % (7530)Instruction limit reached!
% 0.20/0.61 % (7530)------------------------------
% 0.20/0.61 % (7530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (7520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (7520)Termination reason: Unknown
% 0.20/0.61 % (7520)Termination phase: Saturation
% 0.20/0.61
% 0.20/0.61 % (7520)Memory used [KB]: 5500
% 0.20/0.61 % (7520)Time elapsed: 0.180 s
% 0.20/0.61 % (7520)Instructions burned: 53 (million)
% 0.20/0.61 % (7520)------------------------------
% 0.20/0.61 % (7520)------------------------------
% 0.20/0.61 % (7531)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.62 % (7540)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.62 % (7517)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.62 % (7522)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.62 % (7521)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.62 TRYING [1]
% 0.20/0.62 % (7541)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.62 % (7517)Refutation not found, incomplete strategy% (7517)------------------------------
% 0.20/0.62 % (7517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62 % (7517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62 % (7517)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.62
% 0.20/0.62 % (7517)Memory used [KB]: 5500
% 0.20/0.62 % (7517)Time elapsed: 0.195 s
% 0.20/0.62 % (7517)Instructions burned: 4 (million)
% 0.20/0.62 % (7517)------------------------------
% 0.20/0.62 % (7517)------------------------------
% 0.20/0.62 TRYING [2]
% 0.20/0.62 % (7530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62 % (7530)Termination reason: Unknown
% 0.20/0.62 % (7530)Termination phase: Saturation
% 0.20/0.62
% 0.20/0.62 % (7530)Memory used [KB]: 6012
% 0.20/0.62 % (7530)Time elapsed: 0.031 s
% 0.20/0.62 % (7530)Instructions burned: 69 (million)
% 0.20/0.62 % (7530)------------------------------
% 0.20/0.62 % (7530)------------------------------
% 0.20/0.62 % (7532)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.62 % (7523)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.63 TRYING [3]
% 0.20/0.63 % (7542)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.01/0.63 % (7543)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.01/0.63 TRYING [4]
% 2.01/0.63 % (7544)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.01/0.63 TRYING [1]
% 2.01/0.63 TRYING [2]
% 2.01/0.63 % (7525)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.01/0.63 TRYING [3]
% 2.01/0.64 % (7533)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.01/0.64 % (7524)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.01/0.64 TRYING [1]
% 2.01/0.64 TRYING [2]
% 2.01/0.64 % (7536)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 2.01/0.64 TRYING [3]
% 2.01/0.64 % (7534)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.01/0.64 % (7535)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.01/0.65 % (7528)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.01/0.65 % (7519)Instruction limit reached!
% 2.01/0.65 % (7519)------------------------------
% 2.01/0.65 % (7519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.65 % (7518)Instruction limit reached!
% 2.29/0.65 % (7518)------------------------------
% 2.29/0.65 % (7518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.65 % (7518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.65 % (7518)Termination reason: Unknown
% 2.29/0.65 % (7518)Termination phase: Saturation
% 2.29/0.65
% 2.29/0.65 % (7518)Memory used [KB]: 1023
% 2.29/0.65 % (7518)Time elapsed: 0.177 s
% 2.29/0.65 % (7518)Instructions burned: 41 (million)
% 2.29/0.65 % (7518)------------------------------
% 2.29/0.65 % (7518)------------------------------
% 2.29/0.65 % (7537)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.29/0.65 % (7523)Instruction limit reached!
% 2.29/0.65 % (7523)------------------------------
% 2.29/0.65 % (7523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.65 % (7523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.65 % (7523)Termination reason: Unknown
% 2.29/0.65 % (7523)Termination phase: Saturation
% 2.29/0.65
% 2.29/0.65 % (7523)Memory used [KB]: 5628
% 2.29/0.65 % (7523)Time elapsed: 0.153 s
% 2.29/0.65 % (7523)Instructions burned: 8 (million)
% 2.29/0.65 % (7523)------------------------------
% 2.29/0.65 % (7523)------------------------------
% 2.29/0.66 TRYING [4]
% 2.36/0.66 % (7524)Instruction limit reached!
% 2.36/0.66 % (7524)------------------------------
% 2.36/0.66 % (7524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.66 % (7524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.66 % (7524)Termination reason: Unknown
% 2.36/0.66 % (7524)Termination phase: Naming
% 2.36/0.66
% 2.36/0.66 % (7524)Memory used [KB]: 895
% 2.36/0.66 % (7524)Time elapsed: 0.003 s
% 2.36/0.66 % (7524)Instructions burned: 2 (million)
% 2.36/0.66 % (7524)------------------------------
% 2.36/0.66 % (7524)------------------------------
% 2.36/0.66 TRYING [4]
% 2.36/0.67 TRYING [5]
% 2.36/0.67 % (7519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.67 % (7519)Termination reason: Unknown
% 2.36/0.67 % (7519)Termination phase: Saturation
% 2.36/0.67
% 2.36/0.67 % (7519)Memory used [KB]: 6268
% 2.36/0.67 % (7519)Time elapsed: 0.212 s
% 2.36/0.67 % (7519)Instructions burned: 52 (million)
% 2.36/0.67 % (7519)------------------------------
% 2.36/0.67 % (7519)------------------------------
% 2.36/0.67 % (7529)Instruction limit reached!
% 2.36/0.67 % (7529)------------------------------
% 2.36/0.67 % (7529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.67 % (7529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.67 % (7529)Termination reason: Unknown
% 2.36/0.67 % (7529)Termination phase: Saturation
% 2.36/0.67
% 2.36/0.67 % (7529)Memory used [KB]: 5756
% 2.36/0.67 % (7529)Time elapsed: 0.224 s
% 2.36/0.67 % (7529)Instructions burned: 100 (million)
% 2.36/0.67 % (7529)------------------------------
% 2.36/0.67 % (7529)------------------------------
% 2.36/0.67 % (7526)First to succeed.
% 2.36/0.68 TRYING [5]
% 2.36/0.68 % (7526)Refutation found. Thanks to Tanya!
% 2.36/0.68 % SZS status Theorem for theBenchmark
% 2.36/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.36/0.68 % (7526)------------------------------
% 2.36/0.68 % (7526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.68 % (7526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.68 % (7526)Termination reason: Refutation
% 2.36/0.68
% 2.36/0.68 % (7526)Memory used [KB]: 5884
% 2.36/0.68 % (7526)Time elapsed: 0.238 s
% 2.36/0.68 % (7526)Instructions burned: 30 (million)
% 2.36/0.68 % (7526)------------------------------
% 2.36/0.68 % (7526)------------------------------
% 2.36/0.68 % (7515)Success in time 0.318 s
%------------------------------------------------------------------------------