TSTP Solution File: SWC010-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC010-1 : 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 : n007.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 18:41:11 EDT 2022

% Result   : Unsatisfiable 0.21s 0.54s
% Output   : Refutation 0.21s
% 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 (   1 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(f263,plain,
    $false,
    inference(subsumption_resolution,[],[f262,f252]) ).

fof(f252,plain,
    ssList(sk6),
    inference(subsumption_resolution,[],[f203,f249]) ).

fof(f249,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f218]) ).

fof(f218,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(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f262,plain,
    ~ ssList(sk6),
    inference(subsumption_resolution,[],[f261,f254]) ).

fof(f254,plain,
    sk3 = app(sk6,sk7),
    inference(subsumption_resolution,[],[f206,f249]) ).

fof(f206,axiom,
    ( sk3 = app(sk6,sk7)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).

fof(f261,plain,
    ( sk3 != app(sk6,sk7)
    | ~ ssList(sk6) ),
    inference(subsumption_resolution,[],[f260,f253]) ).

fof(f253,plain,
    ssList(sk7),
    inference(subsumption_resolution,[],[f204,f249]) ).

fof(f204,axiom,
    ( ssList(sk7)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).

fof(f260,plain,
    ( ~ ssList(sk7)
    | ~ ssList(sk6)
    | sk3 != app(sk6,sk7) ),
    inference(trivial_inequality_removal,[],[f259]) ).

fof(f259,plain,
    ( ~ ssList(sk6)
    | sk4 != sk4
    | sk3 != app(sk6,sk7)
    | ~ ssList(sk7) ),
    inference(superposition,[],[f258,f255]) ).

fof(f255,plain,
    sk4 = app(app(sk6,cons(sk5,nil)),sk7),
    inference(subsumption_resolution,[],[f205,f249]) ).

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

fof(f258,plain,
    ! [X0,X1] :
      ( sk4 != app(app(X0,cons(sk5,nil)),X1)
      | ~ ssList(X1)
      | app(X0,X1) != sk3
      | ~ ssList(X0) ),
    inference(resolution,[],[f257,f251]) ).

fof(f251,plain,
    ssItem(sk5),
    inference(subsumption_resolution,[],[f202,f249]) ).

fof(f202,axiom,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

fof(f257,plain,
    ! [X8,X6,X7] :
      ( ~ ssItem(X6)
      | sk3 != app(X7,X8)
      | sk4 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f213,f249]) ).

fof(f213,plain,
    ! [X8,X6,X7] :
      ( sk4 != app(app(X7,cons(X6,nil)),X8)
      | ~ neq(sk4,nil)
      | ~ ssItem(X6)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk3 != app(X7,X8) ),
    inference(definition_unfolding,[],[f201,f191,f190]) ).

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

fof(f201,axiom,
    ! [X8,X6,X7] :
      ( ~ ssItem(X6)
      | sk1 != app(X7,X8)
      | ~ ssList(X7)
      | ~ neq(sk4,nil)
      | ~ ssList(X8)
      | sk2 != app(app(X7,cons(X6,nil)),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC010-1 : TPTP v8.1.0. Released v2.4.0.
% 0.14/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 17:41:01 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  % (15326)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.51  % (15318)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.52  % (15310)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.52  % (15303)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.52  % (15320)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)
% 0.21/0.52  % (15312)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)
% 0.21/0.53  % (15313)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.53  % (15304)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)
% 0.21/0.53  % (15322)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.53  % (15298)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.53  % (15323)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.53  % (15324)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)
% 0.21/0.53  % (15299)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)
% 0.21/0.53  % (15301)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)
% 0.21/0.53  % (15320)First to succeed.
% 0.21/0.53  % (15300)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54  % (15325)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.54  % (15302)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54  % (15320)Refutation found. Thanks to Tanya!
% 0.21/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54  % (15320)------------------------------
% 0.21/0.54  % (15320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (15320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (15320)Termination reason: Refutation
% 0.21/0.54  
% 0.21/0.54  % (15320)Memory used [KB]: 1151
% 0.21/0.54  % (15320)Time elapsed: 0.088 s
% 0.21/0.54  % (15320)Instructions burned: 8 (million)
% 0.21/0.54  % (15320)------------------------------
% 0.21/0.54  % (15320)------------------------------
% 0.21/0.54  % (15297)Success in time 0.183 s
%------------------------------------------------------------------------------