TSTP Solution File: SWC320-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC320-1 : 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 : n009.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 18:43:08 EDT 2022

% Result   : Unsatisfiable 0.15s 0.50s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   48 (  12 unt;   0 def)
%            Number of atoms       :  112 (  71 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  128 (  64   ~;  64   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f296,plain,
    $false,
    inference(subsumption_resolution,[],[f295,f289]) ).

fof(f289,plain,
    nil = app(sk6,cons(sk5,nil)),
    inference(subsumption_resolution,[],[f276,f284]) ).

fof(f284,plain,
    neq(nil,nil),
    inference(subsumption_resolution,[],[f270,f274]) ).

fof(f274,plain,
    nil = sk3,
    inference(trivial_inequality_removal,[],[f263]) ).

fof(f263,plain,
    ( nil != nil
    | nil = sk3 ),
    inference(backward_demodulation,[],[f192,f261]) ).

fof(f261,plain,
    nil = sk4,
    inference(subsumption_resolution,[],[f260,f245]) ).

fof(f245,plain,
    ( sk4 = app(sk6,cons(sk5,nil))
    | nil = sk4 ),
    inference(resolution,[],[f196,f204]) ).

fof(f204,plain,
    ( neq(sk4,nil)
    | nil = sk4 ),
    inference(definition_unfolding,[],[f197,f190,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f197,axiom,
    ( nil = sk2
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f196,axiom,
    ( ~ neq(sk4,nil)
    | sk4 = app(sk6,cons(sk5,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f260,plain,
    ( sk4 != app(sk6,cons(sk5,nil))
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f257,f243]) ).

fof(f243,plain,
    ( sk3 = app(cons(sk5,nil),sk6)
    | nil = sk4 ),
    inference(resolution,[],[f195,f204]) ).

fof(f195,axiom,
    ( ~ neq(sk4,nil)
    | sk3 = app(cons(sk5,nil),sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f257,plain,
    ( sk3 != app(cons(sk5,nil),sk6)
    | sk4 != app(sk6,cons(sk5,nil))
    | nil = sk4 ),
    inference(duplicate_literal_removal,[],[f256]) ).

fof(f256,plain,
    ( sk3 != app(cons(sk5,nil),sk6)
    | nil = sk4
    | sk4 != app(sk6,cons(sk5,nil))
    | nil = sk4 ),
    inference(resolution,[],[f247,f238]) ).

fof(f238,plain,
    ( ssList(sk6)
    | nil = sk4 ),
    inference(resolution,[],[f204,f194]) ).

fof(f194,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f247,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = sk4
      | sk4 != app(X0,cons(sk5,nil))
      | sk3 != app(cons(sk5,nil),X0) ),
    inference(duplicate_literal_removal,[],[f246]) ).

fof(f246,plain,
    ! [X0] :
      ( sk4 != app(X0,cons(sk5,nil))
      | nil = sk4
      | ~ ssList(X0)
      | nil = sk4
      | sk3 != app(cons(sk5,nil),X0) ),
    inference(resolution,[],[f239,f201]) ).

fof(f201,plain,
    ! [X6,X7] :
      ( ~ ssItem(X6)
      | nil = sk4
      | ~ ssList(X7)
      | sk4 != app(X7,cons(X6,nil))
      | sk3 != app(cons(X6,nil),X7) ),
    inference(definition_unfolding,[],[f198,f190,f191,f190]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f198,axiom,
    ! [X6,X7] :
      ( nil = sk2
      | sk1 != app(cons(X6,nil),X7)
      | ~ ssList(X7)
      | sk2 != app(X7,cons(X6,nil))
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f239,plain,
    ( ssItem(sk5)
    | nil = sk4 ),
    inference(resolution,[],[f204,f193]) ).

fof(f193,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f192,axiom,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f270,plain,
    ( nil != sk3
    | neq(nil,nil) ),
    inference(backward_demodulation,[],[f206,f261]) ).

fof(f206,plain,
    ( neq(sk4,nil)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f199,f191,f190]) ).

fof(f199,axiom,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f276,plain,
    ( nil = app(sk6,cons(sk5,nil))
    | ~ neq(nil,nil) ),
    inference(forward_demodulation,[],[f267,f261]) ).

fof(f267,plain,
    ( ~ neq(nil,nil)
    | sk4 = app(sk6,cons(sk5,nil)) ),
    inference(backward_demodulation,[],[f196,f261]) ).

fof(f295,plain,
    nil != app(sk6,cons(sk5,nil)),
    inference(subsumption_resolution,[],[f294,f288]) ).

fof(f288,plain,
    nil = app(cons(sk5,nil),sk6),
    inference(forward_demodulation,[],[f287,f274]) ).

fof(f287,plain,
    sk3 = app(cons(sk5,nil),sk6),
    inference(subsumption_resolution,[],[f266,f284]) ).

fof(f266,plain,
    ( ~ neq(nil,nil)
    | sk3 = app(cons(sk5,nil),sk6) ),
    inference(backward_demodulation,[],[f195,f261]) ).

fof(f294,plain,
    ( nil != app(cons(sk5,nil),sk6)
    | nil != app(sk6,cons(sk5,nil)) ),
    inference(resolution,[],[f292,f281]) ).

fof(f281,plain,
    ssList(sk6),
    inference(trivial_inequality_removal,[],[f278]) ).

fof(f278,plain,
    ( nil != nil
    | ssList(sk6) ),
    inference(backward_demodulation,[],[f240,f274]) ).

fof(f240,plain,
    ( ssList(sk6)
    | nil != sk3 ),
    inference(resolution,[],[f206,f194]) ).

fof(f292,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil != app(cons(sk5,nil),X0)
      | nil != app(X0,cons(sk5,nil)) ),
    inference(resolution,[],[f291,f282]) ).

fof(f282,plain,
    ssItem(sk5),
    inference(trivial_inequality_removal,[],[f279]) ).

fof(f279,plain,
    ( ssItem(sk5)
    | nil != nil ),
    inference(backward_demodulation,[],[f241,f274]) ).

fof(f241,plain,
    ( ssItem(sk5)
    | nil != sk3 ),
    inference(resolution,[],[f206,f193]) ).

fof(f291,plain,
    ! [X6,X7] :
      ( ~ ssItem(X6)
      | nil != app(X7,cons(X6,nil))
      | ~ ssList(X7)
      | nil != app(cons(X6,nil),X7) ),
    inference(forward_demodulation,[],[f290,f274]) ).

fof(f290,plain,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | ~ ssItem(X6)
      | nil != app(X7,cons(X6,nil))
      | sk3 != app(cons(X6,nil),X7) ),
    inference(subsumption_resolution,[],[f269,f274]) ).

fof(f269,plain,
    ! [X6,X7] :
      ( nil != app(X7,cons(X6,nil))
      | sk3 != app(cons(X6,nil),X7)
      | nil != sk3
      | ~ ssItem(X6)
      | ~ ssList(X7) ),
    inference(backward_demodulation,[],[f205,f261]) ).

fof(f205,plain,
    ! [X6,X7] :
      ( ~ ssItem(X6)
      | ~ ssList(X7)
      | sk3 != app(cons(X6,nil),X7)
      | sk4 != app(X7,cons(X6,nil))
      | nil != sk3 ),
    inference(definition_unfolding,[],[f200,f191,f191,f190]) ).

fof(f200,axiom,
    ! [X6,X7] :
      ( nil != sk1
      | ~ ssList(X7)
      | sk1 != app(cons(X6,nil),X7)
      | sk2 != app(X7,cons(X6,nil))
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWC320-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30  % Computer : n009.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Aug 30 18:44:05 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.15/0.45  % (13699)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)
% 0.15/0.46  % (13691)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)
% 0.15/0.46  % (13703)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.47  % (13707)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)
% 0.15/0.47  % (13711)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)
% 0.15/0.47  % (13695)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.49  % (13707)First to succeed.
% 0.15/0.49  % (13686)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)
% 0.15/0.50  TRYING [1]
% 0.15/0.50  % (13707)Refutation found. Thanks to Tanya!
% 0.15/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.50  % (13707)------------------------------
% 0.15/0.50  % (13707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50  % (13707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50  % (13707)Termination reason: Refutation
% 0.15/0.50  
% 0.15/0.50  % (13707)Memory used [KB]: 1151
% 0.15/0.50  % (13707)Time elapsed: 0.136 s
% 0.15/0.50  % (13707)Instructions burned: 9 (million)
% 0.15/0.50  % (13707)------------------------------
% 0.15/0.50  % (13707)------------------------------
% 0.15/0.50  % (13684)Success in time 0.191 s
%------------------------------------------------------------------------------