TSTP Solution File: SWC422-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC422-1 : 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_sat --cores 0 -t %d %s

% Computer : n008.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 18:43:46 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   24 (  10 unt;   0 def)
%            Number of atoms       :   54 (  18 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   66 (  36   ~;  30   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f260,plain,
    $false,
    inference(subsumption_resolution,[],[f259,f250]) ).

fof(f250,plain,
    ssList(sk7),
    inference(subsumption_resolution,[],[f203,f245]) ).

fof(f245,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f210]) ).

fof(f210,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f203,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f259,plain,
    ~ ssList(sk7),
    inference(subsumption_resolution,[],[f258,f251]) ).

fof(f251,plain,
    sk4 = app(app(sk6,cons(sk5,nil)),sk7),
    inference(subsumption_resolution,[],[f204,f245]) ).

fof(f204,axiom,
    ( sk4 = app(app(sk6,cons(sk5,nil)),sk7)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).

fof(f258,plain,
    ( sk4 != app(app(sk6,cons(sk5,nil)),sk7)
    | ~ ssList(sk7) ),
    inference(subsumption_resolution,[],[f257,f249]) ).

fof(f249,plain,
    ssList(sk6),
    inference(subsumption_resolution,[],[f202,f245]) ).

fof(f202,axiom,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

fof(f257,plain,
    ( ~ ssList(sk6)
    | sk4 != app(app(sk6,cons(sk5,nil)),sk7)
    | ~ ssList(sk7) ),
    inference(trivial_inequality_removal,[],[f256]) ).

fof(f256,plain,
    ( ~ ssList(sk7)
    | sk3 != sk3
    | sk4 != app(app(sk6,cons(sk5,nil)),sk7)
    | ~ ssList(sk6) ),
    inference(superposition,[],[f254,f252]) ).

fof(f252,plain,
    sk3 = app(app(sk7,cons(sk5,nil)),sk6),
    inference(subsumption_resolution,[],[f205,f245]) ).

fof(f205,axiom,
    ( sk3 = app(app(sk7,cons(sk5,nil)),sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).

fof(f254,plain,
    ! [X0,X1] :
      ( sk3 != app(app(X0,cons(sk5,nil)),X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sk4 != app(app(X1,cons(sk5,nil)),X0) ),
    inference(resolution,[],[f253,f248]) ).

fof(f248,plain,
    ssItem(sk5),
    inference(subsumption_resolution,[],[f201,f245]) ).

fof(f201,axiom,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f253,plain,
    ! [X8,X6,X7] :
      ( ~ ssItem(X6)
      | sk3 != app(app(X8,cons(X6,nil)),X7)
      | ~ ssList(X7)
      | ~ ssList(X8)
      | sk4 != app(app(X7,cons(X6,nil)),X8) ),
    inference(subsumption_resolution,[],[f206,f245]) ).

fof(f206,plain,
    ! [X8,X6,X7] :
      ( sk3 != app(app(X8,cons(X6,nil)),X7)
      | sk4 != app(app(X7,cons(X6,nil)),X8)
      | ~ neq(sk4,nil)
      | ~ ssItem(X6)
      | ~ ssList(X7)
      | ~ ssList(X8) ),
    inference(definition_unfolding,[],[f200,f191,f190]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f200,axiom,
    ! [X8,X6,X7] :
      ( ~ ssList(X7)
      | sk1 != app(app(X8,cons(X6,nil)),X7)
      | ~ ssList(X8)
      | sk2 != app(app(X7,cons(X6,nil)),X8)
      | ~ neq(sk4,nil)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SWC422-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 18:58:55 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  % (22089)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)
% 0.18/0.48  % (22092)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (22118)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)
% 0.18/0.49  % (22103)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)
% 0.18/0.49  % (22113)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.49  % (22111)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)
% 0.18/0.49  % (22101)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50  % (22094)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)
% 0.18/0.50  % (22091)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)
% 0.18/0.50  % (22105)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)
% 0.18/0.50  % (22111)First to succeed.
% 0.18/0.50  % (22098)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51  % (22100)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51  % (22111)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (22111)------------------------------
% 0.18/0.51  % (22111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (22111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (22111)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (22111)Memory used [KB]: 1151
% 0.18/0.51  % (22111)Time elapsed: 0.070 s
% 0.18/0.51  % (22111)Instructions burned: 8 (million)
% 0.18/0.51  % (22111)------------------------------
% 0.18/0.51  % (22111)------------------------------
% 0.18/0.51  % (22086)Success in time 0.168 s
%------------------------------------------------------------------------------