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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n016.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 18:40:24 EDT 2022

% Result   : Unsatisfiable 1.55s 0.59s
% Output   : Refutation 1.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   38 (   6 unt;   0 def)
%            Number of atoms       :   98 (  71 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  120 (  60   ~;  60   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 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   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f298,plain,
    $false,
    inference(subsumption_resolution,[],[f271,f286]) ).

fof(f286,plain,
    nil = sk3,
    inference(trivial_inequality_removal,[],[f274]) ).

fof(f274,plain,
    ( nil != nil
    | nil = sk3 ),
    inference(backward_demodulation,[],[f192,f261]) ).

fof(f261,plain,
    nil = sk4,
    inference(subsumption_resolution,[],[f260,f243]) ).

fof(f243,plain,
    ( sk3 = app(cons(sk5,nil),sk6)
    | nil = sk4 ),
    inference(resolution,[],[f195,f201]) ).

fof(f201,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(f195,axiom,
    ( ~ neq(sk4,nil)
    | sk3 = app(cons(sk5,nil),sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f260,plain,
    ( sk3 != app(cons(sk5,nil),sk6)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f257,f245]) ).

fof(f245,plain,
    ( sk4 = app(sk6,cons(sk5,nil))
    | nil = sk4 ),
    inference(resolution,[],[f196,f201]) ).

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

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

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

fof(f238,plain,
    ( ssList(sk6)
    | nil = sk4 ),
    inference(resolution,[],[f201,f194]) ).

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

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

fof(f246,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = sk4
      | nil = sk4
      | sk3 != app(cons(sk5,nil),X0)
      | sk4 != app(X0,cons(sk5,nil)) ),
    inference(resolution,[],[f202,f239]) ).

fof(f239,plain,
    ( ssItem(sk5)
    | nil = sk4 ),
    inference(resolution,[],[f201,f193]) ).

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

fof(f202,plain,
    ! [X6,X7] :
      ( ~ ssItem(X6)
      | sk3 != app(cons(X6,nil),X7)
      | ~ ssList(X7)
      | sk4 != app(X7,cons(X6,nil))
      | nil = sk4 ),
    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] :
      ( ~ ssList(X7)
      | nil = sk2
      | sk1 != app(cons(X6,nil),X7)
      | ~ ssItem(X6)
      | sk2 != app(X7,cons(X6,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

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

fof(f271,plain,
    nil != sk3,
    inference(subsumption_resolution,[],[f270,f242]) ).

fof(f242,plain,
    ( sk3 = app(cons(sk5,nil),sk6)
    | nil != sk3 ),
    inference(resolution,[],[f195,f205]) ).

fof(f205,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(f270,plain,
    ( sk3 != app(cons(sk5,nil),sk6)
    | nil != sk3 ),
    inference(subsumption_resolution,[],[f267,f244]) ).

fof(f244,plain,
    ( sk4 = app(sk6,cons(sk5,nil))
    | nil != sk3 ),
    inference(resolution,[],[f196,f205]) ).

fof(f267,plain,
    ( sk4 != app(sk6,cons(sk5,nil))
    | nil != sk3
    | sk3 != app(cons(sk5,nil),sk6) ),
    inference(duplicate_literal_removal,[],[f265]) ).

fof(f265,plain,
    ( nil != sk3
    | sk4 != app(sk6,cons(sk5,nil))
    | nil != sk3
    | sk3 != app(cons(sk5,nil),sk6) ),
    inference(resolution,[],[f251,f240]) ).

fof(f240,plain,
    ( ssList(sk6)
    | nil != sk3 ),
    inference(resolution,[],[f205,f194]) ).

fof(f251,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil != sk3
      | sk4 != app(X0,cons(sk5,nil))
      | sk3 != app(cons(sk5,nil),X0) ),
    inference(duplicate_literal_removal,[],[f249]) ).

fof(f249,plain,
    ! [X0] :
      ( sk3 != app(cons(sk5,nil),X0)
      | sk4 != app(X0,cons(sk5,nil))
      | ~ ssList(X0)
      | nil != sk3
      | nil != sk3 ),
    inference(resolution,[],[f204,f241]) ).

fof(f241,plain,
    ( ssItem(sk5)
    | nil != sk3 ),
    inference(resolution,[],[f205,f193]) ).

fof(f204,plain,
    ! [X6,X7] :
      ( ~ ssItem(X6)
      | sk3 != app(cons(X6,nil),X7)
      | nil != sk3
      | ~ ssList(X7)
      | sk4 != app(X7,cons(X6,nil)) ),
    inference(definition_unfolding,[],[f200,f191,f190,f191]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC320-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % 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 : n016.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 19:09:01 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 1.39/0.55  % (9192)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.39/0.56  % (9200)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.39/0.56  % (9192)First to succeed.
% 1.55/0.57  % (9208)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=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.55/0.57  % (9193)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.55/0.59  % (9209)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.55/0.59  % (9201)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.55/0.59  % (9192)Refutation found. Thanks to Tanya!
% 1.55/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.55/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.59  % (9192)------------------------------
% 1.55/0.59  % (9192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.59  % (9192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.59  % (9192)Termination reason: Refutation
% 1.55/0.59  
% 1.55/0.59  % (9192)Memory used [KB]: 1535
% 1.55/0.59  % (9192)Time elapsed: 0.130 s
% 1.55/0.59  % (9192)Instructions burned: 9 (million)
% 1.55/0.59  % (9192)------------------------------
% 1.55/0.59  % (9192)------------------------------
% 1.55/0.59  % (9185)Success in time 0.237 s
%------------------------------------------------------------------------------