TSTP Solution File: SWC380+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC380+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 : n006.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 18:40:49 EDT 2022
% Result : Theorem 1.40s 0.54s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 57 ( 4 unt; 0 def)
% Number of atoms : 314 ( 78 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 374 ( 117 ~; 108 |; 122 &)
% ( 4 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 173 ( 129 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f366,plain,
$false,
inference(avatar_sat_refutation,[],[f230,f231,f365]) ).
fof(f365,plain,
~ spl13_1,
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f364,plain,
( $false
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f363,f325]) ).
fof(f325,plain,
( ~ memberP(sK6,sK1(sK6,sK3))
| ~ spl13_1 ),
inference(resolution,[],[f324,f225]) ).
fof(f225,plain,
( sP0(sK6,sK3,sK6,sK3)
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl13_1
<=> sP0(sK6,sK3,sK6,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f324,plain,
( ! [X2,X0,X1] :
( ~ sP0(X0,sK3,X1,X2)
| ~ memberP(X0,sK1(sK6,sK3)) )
| ~ spl13_1 ),
inference(resolution,[],[f292,f225]) ).
fof(f292,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP0(X5,X6,X0,X1)
| ~ memberP(X2,sK1(X0,X1))
| ~ sP0(X2,X1,X3,X4) ),
inference(subsumption_resolution,[],[f291,f168]) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| ssItem(sK1(X2,X3)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ( ! [X4] :
( ~ ssItem(X4)
| ~ memberP(X0,X4)
| cons(X4,nil) != X1 )
& ssItem(sK1(X2,X3))
& app(cons(sK1(X2,X3),nil),sK2(X2,X3)) = X2
& ssList(sK2(X2,X3))
& cons(sK1(X2,X3),nil) = X3
& neq(X0,nil) )
| ~ sP0(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f130,f132,f131]) ).
fof(f131,plain,
! [X2,X3] :
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(cons(X5,nil),X6) = X2
& ssList(X6)
& cons(X5,nil) = X3 ) )
=> ( ssItem(sK1(X2,X3))
& ? [X6] :
( app(cons(sK1(X2,X3),nil),X6) = X2
& ssList(X6)
& cons(sK1(X2,X3),nil) = X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X2,X3] :
( ? [X6] :
( app(cons(sK1(X2,X3),nil),X6) = X2
& ssList(X6)
& cons(sK1(X2,X3),nil) = X3 )
=> ( app(cons(sK1(X2,X3),nil),sK2(X2,X3)) = X2
& ssList(sK2(X2,X3))
& cons(sK1(X2,X3),nil) = X3 ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0,X1,X2,X3] :
( ( ! [X4] :
( ~ ssItem(X4)
| ~ memberP(X0,X4)
| cons(X4,nil) != X1 )
& ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(cons(X5,nil),X6) = X2
& ssList(X6)
& cons(X5,nil) = X3 ) )
& neq(X0,nil) )
| ~ sP0(X0,X1,X2,X3) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X1,X0,X3,X2] :
( ( ! [X4] :
( ~ ssItem(X4)
| ~ memberP(X1,X4)
| cons(X4,nil) != X0 )
& ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(cons(X5,nil),X6) = X3
& ssList(X6)
& cons(X5,nil) = X2 ) )
& neq(X1,nil) )
| ~ sP0(X1,X0,X3,X2) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X1,X0,X3,X2] :
( ( ! [X4] :
( ~ ssItem(X4)
| ~ memberP(X1,X4)
| cons(X4,nil) != X0 )
& ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(cons(X5,nil),X6) = X3
& ssList(X6)
& cons(X5,nil) = X2 ) )
& neq(X1,nil) )
| ~ sP0(X1,X0,X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP0(X5,X6,X0,X1)
| ~ memberP(X2,sK1(X0,X1))
| ~ sP0(X2,X1,X3,X4)
| ~ ssItem(sK1(X0,X1)) ),
inference(superposition,[],[f214,f165]) ).
fof(f165,plain,
! [X2,X3,X0,X1] :
( cons(sK1(X2,X3),nil) = X3
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f133]) ).
fof(f214,plain,
! [X2,X3,X0,X4] :
( ~ sP0(X0,cons(X4,nil),X2,X3)
| ~ ssItem(X4)
| ~ memberP(X0,X4) ),
inference(equality_resolution,[],[f169]) ).
fof(f169,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X4)
| ~ memberP(X0,X4)
| cons(X4,nil) != X1
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f133]) ).
fof(f363,plain,
( memberP(sK6,sK1(sK6,sK3))
| ~ spl13_1 ),
inference(resolution,[],[f357,f225]) ).
fof(f357,plain,
! [X8,X6,X7,X5] :
( ~ sP0(X7,X8,X5,X6)
| memberP(X5,sK1(X5,X6)) ),
inference(subsumption_resolution,[],[f356,f168]) ).
fof(f356,plain,
! [X8,X6,X7,X5] :
( memberP(X5,sK1(X5,X6))
| ~ sP0(X7,X8,X5,X6)
| ~ ssItem(sK1(X5,X6)) ),
inference(subsumption_resolution,[],[f350,f166]) ).
fof(f166,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| ssList(sK2(X2,X3)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f350,plain,
! [X8,X6,X7,X5] :
( ~ ssList(sK2(X5,X6))
| ~ ssItem(sK1(X5,X6))
| memberP(X5,sK1(X5,X6))
| ~ sP0(X7,X8,X5,X6) ),
inference(superposition,[],[f218,f336]) ).
fof(f336,plain,
! [X2,X3,X4,X5] :
( cons(sK1(X2,X3),sK2(X2,X3)) = X2
| ~ sP0(X4,X5,X2,X3) ),
inference(subsumption_resolution,[],[f335,f168]) ).
fof(f335,plain,
! [X2,X3,X4,X5] :
( ~ ssItem(sK1(X2,X3))
| ~ sP0(X4,X5,X2,X3)
| cons(sK1(X2,X3),sK2(X2,X3)) = X2 ),
inference(subsumption_resolution,[],[f327,f166]) ).
fof(f327,plain,
! [X2,X3,X4,X5] :
( ~ ssList(sK2(X2,X3))
| ~ sP0(X4,X5,X2,X3)
| cons(sK1(X2,X3),sK2(X2,X3)) = X2
| ~ ssItem(sK1(X2,X3)) ),
inference(superposition,[],[f167,f189]) ).
fof(f189,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,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/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f167,plain,
! [X2,X3,X0,X1] :
( app(cons(sK1(X2,X3),nil),sK2(X2,X3)) = X2
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f133]) ).
fof(f218,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f215,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) )
& ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) ) ) ) ) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) )
& ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) ) ) ) ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( X0 = X1
| memberP(X2,X0) )
<=> memberP(cons(X1,X2),X0) ) ) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( X0 = X1
| memberP(X2,X0) )
<=> memberP(cons(X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f231,plain,
( spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f208,f227,f223]) ).
fof(f227,plain,
( spl13_2
<=> neq(sK6,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f208,plain,
( ~ neq(sK6,nil)
| sP0(sK6,sK3,sK6,sK3) ),
inference(definition_unfolding,[],[f173,f176,f175]) ).
fof(f175,plain,
sK5 = sK3,
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ssList(sK6)
& sK4 = sK6
& sK5 = sK3
& ( sP0(sK4,sK3,sK6,sK5)
| ( neq(sK4,nil)
& ~ neq(sK6,nil) ) )
& ssList(sK5)
& ssList(sK4)
& ssList(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f125,f137,f136,f135,f134]) ).
fof(f134,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ( sP0(X1,X0,X3,X2)
| ( neq(X1,nil)
& ~ neq(X3,nil) ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& sK3 = X2
& ( sP0(X1,sK3,X3,X2)
| ( neq(X1,nil)
& ~ neq(X3,nil) ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& sK3 = X2
& ( sP0(X1,sK3,X3,X2)
| ( neq(X1,nil)
& ~ neq(X3,nil) ) ) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ssList(X3)
& sK4 = X3
& sK3 = X2
& ( sP0(sK4,sK3,X3,X2)
| ( neq(sK4,nil)
& ~ neq(X3,nil) ) ) )
& ssList(X2) )
& ssList(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
( ? [X2] :
( ? [X3] :
( ssList(X3)
& sK4 = X3
& sK3 = X2
& ( sP0(sK4,sK3,X3,X2)
| ( neq(sK4,nil)
& ~ neq(X3,nil) ) ) )
& ssList(X2) )
=> ( ? [X3] :
( ssList(X3)
& sK4 = X3
& sK5 = sK3
& ( sP0(sK4,sK3,X3,sK5)
| ( neq(sK4,nil)
& ~ neq(X3,nil) ) ) )
& ssList(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ? [X3] :
( ssList(X3)
& sK4 = X3
& sK5 = sK3
& ( sP0(sK4,sK3,X3,sK5)
| ( neq(sK4,nil)
& ~ neq(X3,nil) ) ) )
=> ( ssList(sK6)
& sK4 = sK6
& sK5 = sK3
& ( sP0(sK4,sK3,sK6,sK5)
| ( neq(sK4,nil)
& ~ neq(sK6,nil) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ( sP0(X1,X0,X3,X2)
| ( neq(X1,nil)
& ~ neq(X3,nil) ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f116,f124]) ).
fof(f116,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ( ( ! [X4] :
( ~ ssItem(X4)
| ~ memberP(X1,X4)
| cons(X4,nil) != X0 )
& ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(cons(X5,nil),X6) = X3
& ssList(X6)
& cons(X5,nil) = X2 ) )
& neq(X1,nil) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& ? [X5] :
( ? [X6] :
( cons(X5,nil) = X2
& app(cons(X5,nil),X6) = X3
& ssList(X6) )
& ssItem(X5) )
& ! [X4] :
( ~ ssItem(X4)
| ~ memberP(X1,X4)
| cons(X4,nil) != X0 ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ( cons(X5,nil) != X2
| app(cons(X5,nil),X6) != X3 ) ) )
| ? [X4] :
( ssItem(X4)
& cons(X4,nil) = X0
& memberP(X1,X4) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ( cons(X5,nil) != X2
| app(cons(X5,nil),X6) != X3 ) ) )
| ? [X4] :
( ssItem(X4)
& cons(X4,nil) = X0
& memberP(X1,X4) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f176,plain,
sK4 = sK6,
inference(cnf_transformation,[],[f138]) ).
fof(f173,plain,
( sP0(sK4,sK3,sK6,sK5)
| ~ neq(sK6,nil) ),
inference(cnf_transformation,[],[f138]) ).
fof(f230,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f207,f227,f223]) ).
fof(f207,plain,
( neq(sK6,nil)
| sP0(sK6,sK3,sK6,sK3) ),
inference(definition_unfolding,[],[f174,f176,f175,f176]) ).
fof(f174,plain,
( sP0(sK4,sK3,sK6,sK5)
| neq(sK4,nil) ),
inference(cnf_transformation,[],[f138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC380+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:50:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (12384)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)
% 0.19/0.49 % (12375)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)
% 0.19/0.49 % (12362)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)
% 0.19/0.49 % (12362)Instruction limit reached!
% 0.19/0.49 % (12362)------------------------------
% 0.19/0.49 % (12362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (12362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (12362)Termination reason: Unknown
% 0.19/0.49 % (12362)Termination phase: Preprocessing 2
% 0.19/0.49
% 0.19/0.49 % (12362)Memory used [KB]: 1535
% 0.19/0.49 % (12362)Time elapsed: 0.002 s
% 0.19/0.49 % (12362)Instructions burned: 3 (million)
% 0.19/0.49 % (12362)------------------------------
% 0.19/0.49 % (12362)------------------------------
% 0.19/0.49 % (12367)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)
% 0.19/0.50 % (12364)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)
% 0.19/0.50 % (12363)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)
% 0.19/0.50 % (12365)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)
% 0.19/0.50 % (12374)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)
% 0.19/0.50 % (12375)Instruction limit reached!
% 0.19/0.50 % (12375)------------------------------
% 0.19/0.50 % (12375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (12375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (12375)Termination reason: Unknown
% 0.19/0.50 % (12375)Termination phase: Function definition elimination
% 0.19/0.50
% 0.19/0.50 % (12375)Memory used [KB]: 1791
% 0.19/0.50 % (12375)Time elapsed: 0.011 s
% 0.19/0.50 % (12375)Instructions burned: 8 (million)
% 0.19/0.50 % (12375)------------------------------
% 0.19/0.50 % (12375)------------------------------
% 0.19/0.50 % (12360)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (12381)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)
% 0.19/0.51 % (12378)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (12374)Instruction limit reached!
% 0.19/0.51 % (12374)------------------------------
% 0.19/0.51 % (12374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (12374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (12374)Termination reason: Unknown
% 0.19/0.51 % (12374)Termination phase: Preprocessing 3
% 0.19/0.51
% 0.19/0.51 % (12374)Memory used [KB]: 1535
% 0.19/0.51 % (12374)Time elapsed: 0.004 s
% 0.19/0.51 % (12374)Instructions burned: 3 (million)
% 0.19/0.51 % (12374)------------------------------
% 0.19/0.51 % (12374)------------------------------
% 0.19/0.51 % (12366)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)
% 0.19/0.51 % (12385)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)
% 0.19/0.51 % (12370)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)
% 0.19/0.51 % (12383)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 % (12379)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)
% 0.19/0.52 % (12361)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 % (12371)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)
% 0.19/0.52 % (12386)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)
% 0.19/0.52 % (12390)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)
% 0.19/0.52 % (12379)Instruction limit reached!
% 0.19/0.52 % (12379)------------------------------
% 0.19/0.52 % (12379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (12379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (12379)Termination reason: Unknown
% 0.19/0.52 % (12379)Termination phase: Equality resolution with deletion
% 0.19/0.52
% 0.19/0.52 % (12379)Memory used [KB]: 1535
% 0.19/0.52 % (12379)Time elapsed: 0.003 s
% 0.19/0.52 % (12379)Instructions burned: 3 (million)
% 0.19/0.52 % (12379)------------------------------
% 0.19/0.52 % (12379)------------------------------
% 0.19/0.52 % (12378)Instruction limit reached!
% 0.19/0.52 % (12378)------------------------------
% 0.19/0.52 % (12378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (12378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (12378)Termination reason: Unknown
% 0.19/0.52 % (12378)Termination phase: Naming
% 0.19/0.52
% 0.19/0.52 % (12378)Memory used [KB]: 1535
% 0.19/0.52 % (12378)Time elapsed: 0.003 s
% 0.19/0.52 % (12378)Instructions burned: 3 (million)
% 0.19/0.52 % (12378)------------------------------
% 0.19/0.52 % (12378)------------------------------
% 0.19/0.52 % (12364)Instruction limit reached!
% 0.19/0.52 % (12364)------------------------------
% 0.19/0.52 % (12364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (12387)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 % (12388)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 % (12372)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)
% 0.19/0.53 % (12380)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)
% 1.40/0.53 % (12382)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)
% 1.40/0.53 % (12370)Instruction limit reached!
% 1.40/0.53 % (12370)------------------------------
% 1.40/0.53 % (12370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (12370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (12370)Termination reason: Unknown
% 1.40/0.53 % (12370)Termination phase: Saturation
% 1.40/0.53
% 1.40/0.53 % (12370)Memory used [KB]: 6268
% 1.40/0.53 % (12370)Time elapsed: 0.142 s
% 1.40/0.53 % (12370)Instructions burned: 13 (million)
% 1.40/0.53 % (12370)------------------------------
% 1.40/0.53 % (12370)------------------------------
% 1.40/0.53 % (12380)Refutation not found, incomplete strategy% (12380)------------------------------
% 1.40/0.53 % (12380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (12380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (12380)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.53
% 1.40/0.53 % (12380)Memory used [KB]: 6012
% 1.40/0.53 % (12380)Time elapsed: 0.139 s
% 1.40/0.53 % (12380)Instructions burned: 4 (million)
% 1.40/0.53 % (12380)------------------------------
% 1.40/0.53 % (12380)------------------------------
% 1.40/0.53 % (12373)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)
% 1.40/0.54 % (12371)Instruction limit reached!
% 1.40/0.54 % (12371)------------------------------
% 1.40/0.54 % (12371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (12371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (12371)Termination reason: Unknown
% 1.40/0.54 % (12371)Termination phase: Saturation
% 1.40/0.54
% 1.40/0.54 % (12371)Memory used [KB]: 6140
% 1.40/0.54 % (12371)Time elapsed: 0.129 s
% 1.40/0.54 % (12371)Instructions burned: 8 (million)
% 1.40/0.54 % (12371)------------------------------
% 1.40/0.54 % (12371)------------------------------
% 1.40/0.54 % (12364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (12364)Termination reason: Unknown
% 1.40/0.54 % (12364)Termination phase: Saturation
% 1.40/0.54
% 1.40/0.54 % (12364)Memory used [KB]: 6268
% 1.40/0.54 % (12364)Time elapsed: 0.132 s
% 1.40/0.54 % (12364)Instructions burned: 13 (million)
% 1.40/0.54 % (12364)------------------------------
% 1.40/0.54 % (12364)------------------------------
% 1.40/0.54 % (12366)First to succeed.
% 1.40/0.54 % (12368)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)
% 1.40/0.54 % (12366)Refutation found. Thanks to Tanya!
% 1.40/0.54 % SZS status Theorem for theBenchmark
% 1.40/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.54 % (12366)------------------------------
% 1.40/0.54 % (12366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (12366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (12366)Termination reason: Refutation
% 1.40/0.54
% 1.40/0.54 % (12366)Memory used [KB]: 6140
% 1.40/0.54 % (12366)Time elapsed: 0.148 s
% 1.40/0.54 % (12366)Instructions burned: 10 (million)
% 1.40/0.54 % (12366)------------------------------
% 1.40/0.54 % (12366)------------------------------
% 1.40/0.54 % (12355)Success in time 0.19 s
%------------------------------------------------------------------------------