TSTP Solution File: SWC316+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC316+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n018.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 18:40:22 EDT 2022
% Result : Theorem 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 37
% Syntax : Number of formulae : 134 ( 11 unt; 0 def)
% Number of atoms : 773 ( 239 equ)
% Maximal formula atoms : 50 ( 5 avg)
% Number of connectives : 1027 ( 388 ~; 384 |; 191 &)
% ( 20 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 19 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 216 ( 142 !; 74 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1445,plain,
$false,
inference(avatar_sat_refutation,[],[f611,f645,f661,f666,f667,f668,f682,f882,f884,f896,f929,f935,f939,f1048,f1099,f1287,f1310,f1319,f1437]) ).
fof(f1437,plain,
( ~ spl53_1
| spl53_9
| ~ spl53_78
| ~ spl53_80 ),
inference(avatar_split_clause,[],[f1428,f1316,f1307,f638,f604]) ).
fof(f604,plain,
( spl53_1
<=> app(sK19,cons(sK18,nil)) = sK17 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_1])]) ).
fof(f638,plain,
( spl53_9
<=> app(tl(sK16),cons(hd(sK16),nil)) = sK17 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_9])]) ).
fof(f1307,plain,
( spl53_78
<=> sK19 = tl(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_78])]) ).
fof(f1316,plain,
( spl53_80
<=> sK18 = hd(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_80])]) ).
fof(f1428,plain,
( app(sK19,cons(sK18,nil)) != sK17
| spl53_9
| ~ spl53_78
| ~ spl53_80 ),
inference(backward_demodulation,[],[f1414,f1318]) ).
fof(f1318,plain,
( sK18 = hd(sK16)
| ~ spl53_80 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1414,plain,
( sK17 != app(sK19,cons(hd(sK16),nil))
| spl53_9
| ~ spl53_78 ),
inference(backward_demodulation,[],[f640,f1309]) ).
fof(f1309,plain,
( sK19 = tl(sK16)
| ~ spl53_78 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f640,plain,
( app(tl(sK16),cons(hd(sK16),nil)) != sK17
| spl53_9 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f1319,plain,
( ~ spl53_3
| ~ spl53_17
| spl53_80
| ~ spl53_52 ),
inference(avatar_split_clause,[],[f1272,f1095,f1316,f679,f613]) ).
fof(f613,plain,
( spl53_3
<=> ssList(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_3])]) ).
fof(f679,plain,
( spl53_17
<=> ssItem(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_17])]) ).
fof(f1095,plain,
( spl53_52
<=> cons(sK18,sK19) = sK16 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_52])]) ).
fof(f1272,plain,
( sK18 = hd(sK16)
| ~ ssItem(sK18)
| ~ ssList(sK19)
| ~ spl53_52 ),
inference(superposition,[],[f466,f1097]) ).
fof(f1097,plain,
( cons(sK18,sK19) = sK16
| ~ spl53_52 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f466,plain,
! [X0,X1] :
( hd(cons(X1,X0)) = X1
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f1310,plain,
( spl53_78
| ~ spl53_3
| ~ spl53_17
| ~ spl53_52 ),
inference(avatar_split_clause,[],[f1270,f1095,f679,f613,f1307]) ).
fof(f1270,plain,
( ~ ssItem(sK18)
| ~ ssList(sK19)
| sK19 = tl(sK16)
| ~ spl53_52 ),
inference(superposition,[],[f440,f1097]) ).
fof(f440,plain,
! [X0,X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f1287,plain,
( ~ spl53_23
| ~ spl53_3
| ~ spl53_17
| ~ spl53_52 ),
inference(avatar_split_clause,[],[f1268,f1095,f679,f613,f721]) ).
fof(f721,plain,
( spl53_23
<=> nil = sK16 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_23])]) ).
fof(f1268,plain,
( ~ ssItem(sK18)
| ~ ssList(sK19)
| nil != sK16
| ~ spl53_52 ),
inference(superposition,[],[f393,f1097]) ).
fof(f393,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| nil != cons(X1,X0) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f1099,plain,
( ~ spl53_17
| ~ spl53_3
| spl53_52
| ~ spl53_14 ),
inference(avatar_split_clause,[],[f1087,f663,f1095,f613,f679]) ).
fof(f663,plain,
( spl53_14
<=> app(cons(sK18,nil),sK19) = sK16 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_14])]) ).
fof(f1087,plain,
( cons(sK18,sK19) = sK16
| ~ ssList(sK19)
| ~ ssItem(sK18)
| ~ spl53_14 ),
inference(superposition,[],[f665,f525]) ).
fof(f525,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
fof(f665,plain,
( app(cons(sK18,nil),sK19) = sK16
| ~ spl53_14 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f1048,plain,
( spl53_23
| ~ spl53_22
| ~ spl53_12
| spl53_7 ),
inference(avatar_split_clause,[],[f1046,f630,f652,f715,f721]) ).
fof(f715,plain,
( spl53_22
<=> ssList(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_22])]) ).
fof(f652,plain,
( spl53_12
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_12])]) ).
fof(f630,plain,
( spl53_7
<=> neq(nil,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_7])]) ).
fof(f1046,plain,
( ~ ssList(nil)
| ~ ssList(sK16)
| nil = sK16
| spl53_7 ),
inference(resolution,[],[f632,f520]) ).
fof(f520,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f326,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( X0 != X1
<=> neq(X0,X1) ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( X0 != X1
<=> neq(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f632,plain,
( ~ neq(nil,sK16)
| spl53_7 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f939,plain,
( spl53_23
| ~ spl53_22
| spl53_8 ),
inference(avatar_split_clause,[],[f936,f634,f715,f721]) ).
fof(f634,plain,
( spl53_8
<=> ssList(tl(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_8])]) ).
fof(f936,plain,
( ~ ssList(sK16)
| nil = sK16
| spl53_8 ),
inference(resolution,[],[f636,f763]) ).
fof(f763,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f762]) ).
fof(f762,plain,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0
| ~ ssList(X0)
| nil = X0 ),
inference(superposition,[],[f374,f375]) ).
fof(f375,plain,
! [X0] :
( tl(X0) = sK8(X0)
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( ~ ssList(X0)
| ( tl(X0) = sK8(X0)
& ssList(sK8(X0)) )
| nil = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f107,f240]) ).
fof(f240,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
=> ( tl(X0) = sK8(X0)
& ssList(sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0] :
( ~ ssList(X0)
| ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0 ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).
fof(f374,plain,
! [X0] :
( ssList(sK8(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f636,plain,
( ~ ssList(tl(sK16))
| spl53_8 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f935,plain,
( ~ spl53_8
| ~ spl53_10
| spl53_6 ),
inference(avatar_split_clause,[],[f934,f626,f642,f634]) ).
fof(f642,plain,
( spl53_10
<=> ssList(cons(hd(sK16),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_10])]) ).
fof(f626,plain,
( spl53_6
<=> ssList(app(tl(sK16),cons(hd(sK16),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_6])]) ).
fof(f934,plain,
( ~ ssList(cons(hd(sK16),nil))
| ~ ssList(tl(sK16))
| spl53_6 ),
inference(resolution,[],[f628,f351]) ).
fof(f351,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ssList(app(X0,X1)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f628,plain,
( ~ ssList(app(tl(sK16),cons(hd(sK16),nil)))
| spl53_6 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f929,plain,
( ~ spl53_22
| spl53_23
| spl53_4 ),
inference(avatar_split_clause,[],[f926,f618,f721,f715]) ).
fof(f618,plain,
( spl53_4
<=> ssItem(hd(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_4])]) ).
fof(f926,plain,
( nil = sK16
| ~ ssList(sK16)
| spl53_4 ),
inference(resolution,[],[f620,f760]) ).
fof(f760,plain,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(duplicate_literal_removal,[],[f759]) ).
fof(f759,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0)
| ~ ssList(X0)
| nil = X0 ),
inference(superposition,[],[f369,f368]) ).
fof(f368,plain,
! [X0] :
( hd(X0) = sK7(X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0] :
( ( ssItem(sK7(X0))
& hd(X0) = sK7(X0) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f127,f238]) ).
fof(f238,plain,
! [X0] :
( ? [X1] :
( ssItem(X1)
& hd(X0) = X1 )
=> ( ssItem(sK7(X0))
& hd(X0) = sK7(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X0] :
( ? [X1] :
( ssItem(X1)
& hd(X0) = X1 )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ? [X1] :
( ssItem(X1)
& hd(X0) = X1 )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( ssItem(X1)
& hd(X0) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).
fof(f369,plain,
! [X0] :
( ssItem(sK7(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f239]) ).
fof(f620,plain,
( ~ ssItem(hd(sK16))
| spl53_4 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f896,plain,
( spl53_23
| ~ spl53_12
| ~ spl53_22
| spl53_5 ),
inference(avatar_split_clause,[],[f886,f622,f715,f652,f721]) ).
fof(f622,plain,
( spl53_5
<=> neq(sK16,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_5])]) ).
fof(f886,plain,
( ~ ssList(sK16)
| ~ ssList(nil)
| nil = sK16
| spl53_5 ),
inference(resolution,[],[f624,f520]) ).
fof(f624,plain,
( ~ neq(sK16,nil)
| spl53_5 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f884,plain,
( ~ spl53_4
| ~ spl53_12
| spl53_10 ),
inference(avatar_split_clause,[],[f883,f642,f652,f618]) ).
fof(f883,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sK16))
| spl53_10 ),
inference(resolution,[],[f644,f479]) ).
fof(f479,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f644,plain,
( ~ ssList(cons(hd(sK16),nil))
| spl53_10 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f882,plain,
spl53_22,
inference(avatar_split_clause,[],[f557,f715]) ).
fof(f557,plain,
ssList(sK16),
inference(definition_unfolding,[],[f402,f406]) ).
fof(f406,plain,
sK14 = sK16,
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
( ( ( ssList(sK19)
& app(sK19,cons(sK18,nil)) = sK17
& app(cons(sK18,nil),sK19) = sK16
& ssItem(sK18)
& ( ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ neq(nil,sK14)
| ~ ssList(X8)
| ! [X9] :
( hd(sK14) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9)
| ~ neq(nil,sK14) )
| tl(sK14) != X7
| app(X7,X8) != X6 ) )
| sK15 != X6 )
| ~ neq(sK14,nil) )
& neq(sK15,nil) )
| ( neq(sK15,nil)
& ~ neq(sK17,nil) ) )
& ssList(sK17)
& sK14 = sK16
& sK15 = sK17
& ssList(sK16)
& ssList(sK15)
& ssList(sK14) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18,sK19])],[f258,f264,f263,f262,f261,f260,f259]) ).
fof(f259,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ? [X4] :
( ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2 )
& ssItem(X4) )
& ( ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ neq(nil,X0)
| ~ ssList(X8)
| ! [X9] :
( hd(X0) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9)
| ~ neq(nil,X0) )
| tl(X0) != X7
| app(X7,X8) != X6 ) )
| X1 != X6 )
| ~ neq(X0,nil) )
& neq(X1,nil) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& X0 = X2
& X1 = X3 )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ? [X4] :
( ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2 )
& ssItem(X4) )
& ( ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ neq(nil,sK14)
| ~ ssList(X8)
| ! [X9] :
( hd(sK14) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9)
| ~ neq(nil,sK14) )
| tl(sK14) != X7
| app(X7,X8) != X6 ) )
| X1 != X6 )
| ~ neq(sK14,nil) )
& neq(X1,nil) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& sK14 = X2
& X1 = X3 )
& ssList(X2) )
& ssList(X1) )
& ssList(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f260,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ? [X4] :
( ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2 )
& ssItem(X4) )
& ( ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ neq(nil,sK14)
| ~ ssList(X8)
| ! [X9] :
( hd(sK14) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9)
| ~ neq(nil,sK14) )
| tl(sK14) != X7
| app(X7,X8) != X6 ) )
| X1 != X6 )
| ~ neq(sK14,nil) )
& neq(X1,nil) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& sK14 = X2
& X1 = X3 )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( ? [X4] :
( ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2 )
& ssItem(X4) )
& ( ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ neq(nil,sK14)
| ~ ssList(X8)
| ! [X9] :
( hd(sK14) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9)
| ~ neq(nil,sK14) )
| tl(sK14) != X7
| app(X7,X8) != X6 ) )
| sK15 != X6 )
| ~ neq(sK14,nil) )
& neq(sK15,nil) )
| ( neq(sK15,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& sK14 = X2
& sK15 = X3 )
& ssList(X2) )
& ssList(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f261,plain,
( ? [X2] :
( ? [X3] :
( ( ( ? [X4] :
( ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2 )
& ssItem(X4) )
& ( ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ neq(nil,sK14)
| ~ ssList(X8)
| ! [X9] :
( hd(sK14) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9)
| ~ neq(nil,sK14) )
| tl(sK14) != X7
| app(X7,X8) != X6 ) )
| sK15 != X6 )
| ~ neq(sK14,nil) )
& neq(sK15,nil) )
| ( neq(sK15,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& sK14 = X2
& sK15 = X3 )
& ssList(X2) )
=> ( ? [X3] :
( ( ( ? [X4] :
( ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = sK16 )
& ssItem(X4) )
& ( ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ neq(nil,sK14)
| ~ ssList(X8)
| ! [X9] :
( hd(sK14) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9)
| ~ neq(nil,sK14) )
| tl(sK14) != X7
| app(X7,X8) != X6 ) )
| sK15 != X6 )
| ~ neq(sK14,nil) )
& neq(sK15,nil) )
| ( neq(sK15,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& sK14 = sK16
& sK15 = X3 )
& ssList(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f262,plain,
( ? [X3] :
( ( ( ? [X4] :
( ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = sK16 )
& ssItem(X4) )
& ( ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ neq(nil,sK14)
| ~ ssList(X8)
| ! [X9] :
( hd(sK14) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9)
| ~ neq(nil,sK14) )
| tl(sK14) != X7
| app(X7,X8) != X6 ) )
| sK15 != X6 )
| ~ neq(sK14,nil) )
& neq(sK15,nil) )
| ( neq(sK15,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& sK14 = sK16
& sK15 = X3 )
=> ( ( ( ? [X4] :
( ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = sK17
& app(cons(X4,nil),X5) = sK16 )
& ssItem(X4) )
& ( ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ neq(nil,sK14)
| ~ ssList(X8)
| ! [X9] :
( hd(sK14) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9)
| ~ neq(nil,sK14) )
| tl(sK14) != X7
| app(X7,X8) != X6 ) )
| sK15 != X6 )
| ~ neq(sK14,nil) )
& neq(sK15,nil) )
| ( neq(sK15,nil)
& ~ neq(sK17,nil) ) )
& ssList(sK17)
& sK14 = sK16
& sK15 = sK17 ) ),
introduced(choice_axiom,[]) ).
fof(f263,plain,
( ? [X4] :
( ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = sK17
& app(cons(X4,nil),X5) = sK16 )
& ssItem(X4) )
=> ( ? [X5] :
( ssList(X5)
& app(X5,cons(sK18,nil)) = sK17
& app(cons(sK18,nil),X5) = sK16 )
& ssItem(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f264,plain,
( ? [X5] :
( ssList(X5)
& app(X5,cons(sK18,nil)) = sK17
& app(cons(sK18,nil),X5) = sK16 )
=> ( ssList(sK19)
& app(sK19,cons(sK18,nil)) = sK17
& app(cons(sK18,nil),sK19) = sK16 ) ),
introduced(choice_axiom,[]) ).
fof(f258,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ? [X4] :
( ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2 )
& ssItem(X4) )
& ( ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ neq(nil,X0)
| ~ ssList(X8)
| ! [X9] :
( hd(X0) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9)
| ~ neq(nil,X0) )
| tl(X0) != X7
| app(X7,X8) != X6 ) )
| X1 != X6 )
| ~ neq(X0,nil) )
& neq(X1,nil) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& X0 = X2
& X1 = X3 )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(rectify,[],[f152]) ).
fof(f152,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ? [X8] :
( ? [X9] :
( ssList(X9)
& app(X9,cons(X8,nil)) = X3
& app(cons(X8,nil),X9) = X2 )
& ssItem(X8) )
& ( ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ neq(nil,X0)
| ~ ssList(X6)
| ! [X7] :
( hd(X0) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7)
| ~ neq(nil,X0) )
| tl(X0) != X5
| app(X5,X6) != X4 ) )
| X1 != X4 )
| ~ neq(X0,nil) )
& neq(X1,nil) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& X0 = X2
& X1 = X3 )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& ( ( neq(X1,nil)
& ? [X8] :
( ? [X9] :
( app(X9,cons(X8,nil)) = X3
& app(cons(X8,nil),X9) = X2
& ssList(X9) )
& ssItem(X8) )
& ( ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ neq(nil,X0)
| ~ ssList(X6)
| ! [X7] :
( hd(X0) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7)
| ~ neq(nil,X0) )
| tl(X0) != X5
| app(X5,X6) != X4 ) )
| X1 != X4 )
| ~ neq(X0,nil) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| ( ( ~ neq(X1,nil)
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ( app(X9,cons(X8,nil)) != X3
| app(cons(X8,nil),X9) != X2 ) ) )
| ( neq(X0,nil)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(X5,X6) = X4
& tl(X0) = X5
& ? [X7] :
( hd(X0) = X7
& cons(X7,nil) = X6
& ssItem(X7)
& neq(nil,X0) )
& neq(nil,X0)
& ssList(X6) )
& ssList(X5) )
& X1 = X4
& ssList(X4) ) ) )
& ( neq(X3,nil)
| ~ neq(X1,nil) ) )
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ( neq(X0,nil)
& ? [X6] :
( ? [X7] :
( ? [X8] :
( neq(nil,X0)
& ? [X9] :
( ssItem(X9)
& hd(X0) = X9
& neq(nil,X0)
& cons(X9,nil) = X8 )
& ssList(X8)
& tl(X0) = X7
& app(X7,X8) = X6 )
& ssList(X7) )
& X1 = X6
& ssList(X6) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X5,cons(X4,nil)) != X3
| app(cons(X4,nil),X5) != X2 ) ) )
| ~ neq(X1,nil) )
& ( neq(X3,nil)
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ( neq(X0,nil)
& ? [X6] :
( ? [X7] :
( ? [X8] :
( neq(nil,X0)
& ? [X9] :
( ssItem(X9)
& hd(X0) = X9
& neq(nil,X0)
& cons(X9,nil) = X8 )
& ssList(X8)
& tl(X0) = X7
& app(X7,X8) = X6 )
& ssList(X7) )
& X1 = X6
& ssList(X6) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X5,cons(X4,nil)) != X3
| app(cons(X4,nil),X5) != X2 ) ) )
| ~ neq(X1,nil) )
& ( neq(X3,nil)
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f402,plain,
ssList(sK14),
inference(cnf_transformation,[],[f265]) ).
fof(f682,plain,
( spl53_17
| ~ spl53_2 ),
inference(avatar_split_clause,[],[f412,f608,f679]) ).
fof(f608,plain,
( spl53_2
<=> neq(sK17,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_2])]) ).
fof(f412,plain,
( ~ neq(sK17,nil)
| ssItem(sK18) ),
inference(cnf_transformation,[],[f265]) ).
fof(f668,plain,
spl53_2,
inference(avatar_split_clause,[],[f598,f608]) ).
fof(f598,plain,
neq(sK17,nil),
inference(duplicate_literal_removal,[],[f554]) ).
fof(f554,plain,
( neq(sK17,nil)
| neq(sK17,nil) ),
inference(definition_unfolding,[],[f409,f405,f405]) ).
fof(f405,plain,
sK15 = sK17,
inference(cnf_transformation,[],[f265]) ).
fof(f409,plain,
( neq(sK15,nil)
| neq(sK15,nil) ),
inference(cnf_transformation,[],[f265]) ).
fof(f667,plain,
( spl53_3
| ~ spl53_2 ),
inference(avatar_split_clause,[],[f418,f608,f613]) ).
fof(f418,plain,
( ~ neq(sK17,nil)
| ssList(sK19) ),
inference(cnf_transformation,[],[f265]) ).
fof(f666,plain,
( ~ spl53_2
| spl53_14 ),
inference(avatar_split_clause,[],[f414,f663,f608]) ).
fof(f414,plain,
( app(cons(sK18,nil),sK19) = sK16
| ~ neq(sK17,nil) ),
inference(cnf_transformation,[],[f265]) ).
fof(f661,plain,
spl53_12,
inference(avatar_split_clause,[],[f510,f652]) ).
fof(f510,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f645,plain,
( ~ spl53_4
| ~ spl53_5
| ~ spl53_6
| ~ spl53_7
| ~ spl53_8
| ~ spl53_9
| ~ spl53_2
| ~ spl53_10 ),
inference(avatar_split_clause,[],[f601,f642,f608,f638,f634,f630,f626,f622,f618]) ).
fof(f601,plain,
( ~ ssList(cons(hd(sK16),nil))
| ~ neq(sK17,nil)
| app(tl(sK16),cons(hd(sK16),nil)) != sK17
| ~ ssList(tl(sK16))
| ~ neq(nil,sK16)
| ~ ssList(app(tl(sK16),cons(hd(sK16),nil)))
| ~ neq(sK16,nil)
| ~ ssItem(hd(sK16)) ),
inference(duplicate_literal_removal,[],[f575]) ).
fof(f575,plain,
( ~ neq(nil,sK16)
| ~ ssList(cons(hd(sK16),nil))
| ~ ssList(tl(sK16))
| ~ neq(sK16,nil)
| ~ neq(sK17,nil)
| ~ ssItem(hd(sK16))
| ~ neq(nil,sK16)
| ~ ssList(app(tl(sK16),cons(hd(sK16),nil)))
| app(tl(sK16),cons(hd(sK16),nil)) != sK17 ),
inference(equality_resolution,[],[f574]) ).
fof(f574,plain,
! [X6] :
( ~ ssList(X6)
| ~ ssList(tl(sK16))
| ~ neq(nil,sK16)
| ~ ssList(cons(hd(sK16),nil))
| ~ ssItem(hd(sK16))
| ~ neq(nil,sK16)
| app(tl(sK16),cons(hd(sK16),nil)) != X6
| sK17 != X6
| ~ neq(sK16,nil)
| ~ neq(sK17,nil) ),
inference(equality_resolution,[],[f573]) ).
fof(f573,plain,
! [X6,X7] :
( ~ ssList(X6)
| ~ ssList(X7)
| ~ neq(nil,sK16)
| ~ ssList(cons(hd(sK16),nil))
| ~ ssItem(hd(sK16))
| ~ neq(nil,sK16)
| tl(sK16) != X7
| app(X7,cons(hd(sK16),nil)) != X6
| sK17 != X6
| ~ neq(sK16,nil)
| ~ neq(sK17,nil) ),
inference(equality_resolution,[],[f572]) ).
fof(f572,plain,
! [X8,X6,X7] :
( ~ ssList(X6)
| ~ ssList(X7)
| ~ neq(nil,sK16)
| ~ ssList(X8)
| cons(hd(sK16),nil) != X8
| ~ ssItem(hd(sK16))
| ~ neq(nil,sK16)
| tl(sK16) != X7
| app(X7,X8) != X6
| sK17 != X6
| ~ neq(sK16,nil)
| ~ neq(sK17,nil) ),
inference(equality_resolution,[],[f553]) ).
fof(f553,plain,
! [X8,X6,X9,X7] :
( ~ ssList(X6)
| ~ ssList(X7)
| ~ neq(nil,sK16)
| ~ ssList(X8)
| hd(sK16) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9)
| ~ neq(nil,sK16)
| tl(sK16) != X7
| app(X7,X8) != X6
| sK17 != X6
| ~ neq(sK16,nil)
| ~ neq(sK17,nil) ),
inference(definition_unfolding,[],[f410,f406,f406,f406,f406,f405,f406]) ).
fof(f410,plain,
! [X8,X6,X9,X7] :
( ~ ssList(X6)
| ~ ssList(X7)
| ~ neq(nil,sK14)
| ~ ssList(X8)
| hd(sK14) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9)
| ~ neq(nil,sK14)
| tl(sK14) != X7
| app(X7,X8) != X6
| sK15 != X6
| ~ neq(sK14,nil)
| ~ neq(sK17,nil) ),
inference(cnf_transformation,[],[f265]) ).
fof(f611,plain,
( spl53_1
| ~ spl53_2 ),
inference(avatar_split_clause,[],[f416,f608,f604]) ).
fof(f416,plain,
( ~ neq(sK17,nil)
| app(sK19,cons(sK18,nil)) = sK17 ),
inference(cnf_transformation,[],[f265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWC316+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n018.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:49:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 % (4134)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.47 % (4144)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.49 % (4134)Refutation not found, incomplete strategy% (4134)------------------------------
% 0.19/0.49 % (4134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (4134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (4134)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49
% 0.19/0.49 % (4134)Memory used [KB]: 6140
% 0.19/0.49 % (4134)Time elapsed: 0.078 s
% 0.19/0.49 % (4134)Instructions burned: 6 (million)
% 0.19/0.49 % (4134)------------------------------
% 0.19/0.49 % (4134)------------------------------
% 0.19/0.50 % (4144)Instruction limit reached!
% 0.19/0.50 % (4144)------------------------------
% 0.19/0.50 % (4144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (4144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (4144)Termination reason: Unknown
% 0.19/0.50 % (4144)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (4144)Memory used [KB]: 6524
% 0.19/0.50 % (4144)Time elapsed: 0.087 s
% 0.19/0.50 % (4144)Instructions burned: 30 (million)
% 0.19/0.50 % (4144)------------------------------
% 0.19/0.50 % (4144)------------------------------
% 0.19/0.50 % (4132)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (4129)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51 % (4127)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (4146)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.52 % (4152)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52 % (4125)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (4130)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52 % (4126)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (4126)Instruction limit reached!
% 0.19/0.53 % (4126)------------------------------
% 0.19/0.53 % (4126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4126)Termination reason: Unknown
% 0.19/0.53 % (4126)Termination phase: shuffling
% 0.19/0.53
% 0.19/0.53 % (4126)Memory used [KB]: 1535
% 0.19/0.53 % (4126)Time elapsed: 0.002 s
% 0.19/0.53 % (4126)Instructions burned: 3 (million)
% 0.19/0.53 % (4126)------------------------------
% 0.19/0.53 % (4126)------------------------------
% 0.19/0.53 % (4153)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53 % (4151)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (4150)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (4124)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (4138)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (4138)Instruction limit reached!
% 0.19/0.53 % (4138)------------------------------
% 0.19/0.53 % (4138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4138)Termination reason: Unknown
% 0.19/0.53 % (4138)Termination phase: Naming
% 0.19/0.53
% 0.19/0.53 % (4138)Memory used [KB]: 1535
% 0.19/0.53 % (4138)Time elapsed: 0.003 s
% 0.19/0.53 % (4138)Instructions burned: 3 (million)
% 0.19/0.53 % (4138)------------------------------
% 0.19/0.53 % (4138)------------------------------
% 0.19/0.53 % (4128)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (4131)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53 % (4133)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53 % (4135)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (4128)Instruction limit reached!
% 0.19/0.54 % (4128)------------------------------
% 0.19/0.54 % (4128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (4128)Termination reason: Unknown
% 0.19/0.54 % (4128)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (4128)Memory used [KB]: 6268
% 0.19/0.54 % (4128)Time elapsed: 0.136 s
% 0.19/0.54 % (4128)Instructions burned: 13 (million)
% 0.19/0.54 % (4128)------------------------------
% 0.19/0.54 % (4128)------------------------------
% 0.19/0.54 % (4129)Instruction limit reached!
% 0.19/0.54 % (4129)------------------------------
% 0.19/0.54 % (4129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (4129)Termination reason: Unknown
% 0.19/0.54 % (4129)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (4129)Memory used [KB]: 1791
% 0.19/0.54 % (4129)Time elapsed: 0.139 s
% 0.19/0.54 % (4129)Instructions burned: 16 (million)
% 0.19/0.54 % (4129)------------------------------
% 0.19/0.54 % (4129)------------------------------
% 0.19/0.54 % (4148)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (4152)Instruction limit reached!
% 0.19/0.54 % (4152)------------------------------
% 0.19/0.54 % (4152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (4152)Termination reason: Unknown
% 0.19/0.54 % (4152)Termination phase: Function definition elimination
% 0.19/0.54
% 0.19/0.54 % (4152)Memory used [KB]: 1791
% 0.19/0.54 % (4152)Time elapsed: 0.006 s
% 0.19/0.54 % (4152)Instructions burned: 8 (million)
% 0.19/0.54 % (4152)------------------------------
% 0.19/0.54 % (4152)------------------------------
% 0.19/0.54 % (4143)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.54 % (4142)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (4147)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.54 % (4142)Instruction limit reached!
% 0.19/0.54 % (4142)------------------------------
% 0.19/0.54 % (4142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (4142)Termination reason: Unknown
% 0.19/0.54 % (4142)Termination phase: Function definition elimination
% 0.19/0.54
% 0.19/0.54 % (4142)Memory used [KB]: 1535
% 0.19/0.54 % (4142)Time elapsed: 0.003 s
% 0.19/0.54 % (4142)Instructions burned: 4 (million)
% 0.19/0.54 % (4142)------------------------------
% 0.19/0.54 % (4142)------------------------------
% 0.19/0.54 % (4140)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (4141)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (4143)Refutation not found, incomplete strategy% (4143)------------------------------
% 0.19/0.54 % (4143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (4143)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (4143)Memory used [KB]: 6140
% 0.19/0.54 % (4143)Time elapsed: 0.146 s
% 0.19/0.54 % (4143)Instructions burned: 7 (million)
% 0.19/0.54 % (4143)------------------------------
% 0.19/0.54 % (4143)------------------------------
% 0.19/0.54 % (4141)Instruction limit reached!
% 0.19/0.54 % (4141)------------------------------
% 0.19/0.54 % (4141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (4141)Termination reason: Unknown
% 0.19/0.54 % (4141)Termination phase: Naming
% 0.19/0.54
% 0.19/0.54 % (4141)Memory used [KB]: 1535
% 0.19/0.54 % (4141)Time elapsed: 0.002 s
% 0.19/0.54 % (4141)Instructions burned: 3 (million)
% 0.19/0.54 % (4141)------------------------------
% 0.19/0.54 % (4141)------------------------------
% 0.19/0.54 % (4136)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.54 % (4145)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (4137)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (4139)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (4149)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.56 % (4125)Instruction limit reached!
% 0.19/0.56 % (4125)------------------------------
% 0.19/0.56 % (4125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (4125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (4125)Termination reason: Unknown
% 0.19/0.56 % (4125)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (4125)Memory used [KB]: 6396
% 0.19/0.56 % (4125)Time elapsed: 0.165 s
% 0.19/0.56 % (4125)Instructions burned: 13 (million)
% 0.19/0.56 % (4125)------------------------------
% 0.19/0.56 % (4125)------------------------------
% 0.19/0.57 % (4146)First to succeed.
% 0.19/0.57 % (4146)Refutation found. Thanks to Tanya!
% 0.19/0.57 % SZS status Theorem for theBenchmark
% 0.19/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57 % (4146)------------------------------
% 0.19/0.57 % (4146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (4146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (4146)Termination reason: Refutation
% 0.19/0.57
% 0.19/0.57 % (4146)Memory used [KB]: 6908
% 0.19/0.57 % (4146)Time elapsed: 0.111 s
% 0.19/0.57 % (4146)Instructions burned: 27 (million)
% 0.19/0.57 % (4146)------------------------------
% 0.19/0.57 % (4146)------------------------------
% 0.19/0.57 % (4123)Success in time 0.216 s
%------------------------------------------------------------------------------