TSTP Solution File: SWC008-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC008-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n011.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 : Tue May 21 04:39:47 EDT 2024

% Result   : Unsatisfiable 210.40s 30.53s
% Output   : Refutation 210.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   24 (  14 unt;   0 def)
%            Number of atoms       :   47 (  21 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   53 (  30   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f138912,plain,
    $false,
    inference(subsumption_resolution,[],[f138911,f304]) ).

fof(f304,plain,
    sk1 = app(sk1,nil),
    inference(resolution,[],[f73,f186]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f138911,plain,
    sk1 != app(sk1,nil),
    inference(subsumption_resolution,[],[f138910,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f138910,plain,
    ( ~ ssList(nil)
    | sk1 != app(sk1,nil) ),
    inference(trivial_inequality_removal,[],[f138907]) ).

fof(f138907,plain,
    ( sk2 != sk2
    | ~ ssList(nil)
    | sk1 != app(sk1,nil) ),
    inference(superposition,[],[f5528,f305]) ).

fof(f305,plain,
    sk2 = app(sk2,nil),
    inference(resolution,[],[f73,f187]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

fof(f5528,plain,
    ! [X0] :
      ( sk2 != app(sk2,X0)
      | ~ ssList(X0)
      | sk1 != app(sk1,X0) ),
    inference(subsumption_resolution,[],[f5527,f186]) ).

fof(f5527,plain,
    ! [X0] :
      ( sk2 != app(sk2,X0)
      | ~ ssList(X0)
      | sk1 != app(sk1,X0)
      | ~ ssList(sk1) ),
    inference(subsumption_resolution,[],[f5507,f51]) ).

fof(f51,axiom,
    ! [X0,X1] : ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f5507,plain,
    ! [X0] :
      ( sk2 != app(sk2,X0)
      | ~ ssList(skaf45(sk2,sk1))
      | ~ ssList(X0)
      | sk1 != app(sk1,X0)
      | ~ ssList(sk1) ),
    inference(superposition,[],[f194,f2906]) ).

fof(f2906,plain,
    sk2 = app(sk1,skaf45(sk2,sk1)),
    inference(subsumption_resolution,[],[f2905,f186]) ).

fof(f2905,plain,
    ( ~ ssList(sk1)
    | sk2 = app(sk1,skaf45(sk2,sk1)) ),
    inference(subsumption_resolution,[],[f2895,f187]) ).

fof(f2895,plain,
    ( ~ ssList(sk2)
    | ~ ssList(sk1)
    | sk2 = app(sk1,skaf45(sk2,sk1)) ),
    inference(resolution,[],[f132,f234]) ).

fof(f234,plain,
    frontsegP(sk2,sk1),
    inference(forward_demodulation,[],[f233,f190]) ).

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

fof(f233,plain,
    frontsegP(sk4,sk1),
    inference(forward_demodulation,[],[f192,f191]) ).

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

fof(f192,axiom,
    frontsegP(sk4,sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f132,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,skaf45(X0,X1)) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f194,axiom,
    ! [X8,X6,X7] :
      ( sk2 != app(app(X6,X7),X8)
      | ~ ssList(X7)
      | ~ ssList(X8)
      | sk1 != app(X6,X8)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC008-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n011.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 03:45:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (12865)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (12868)WARNING: value z3 for option sas not known
% 0.22/0.38  % (12866)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38  % (12869)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38  % (12867)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38  % (12868)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38  % (12870)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.38  % (12871)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.38  % (12872)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.41  TRYING [3]
% 0.22/0.44  TRYING [1]
% 0.22/0.44  TRYING [2]
% 0.22/0.46  TRYING [4]
% 0.22/0.54  TRYING [3]
% 1.51/0.62  TRYING [5]
% 2.73/0.75  TRYING [4]
% 4.08/0.96  TRYING [6]
% 6.16/1.24  TRYING [5]
% 7.86/1.49  TRYING [1]
% 7.86/1.50  TRYING [2]
% 7.86/1.51  TRYING [3]
% 8.44/1.56  TRYING [4]
% 9.37/1.71  TRYING [5]
% 9.37/1.74  TRYING [7]
% 12.07/2.10  TRYING [6]
% 14.73/2.47  TRYING [6]
% 17.56/2.88  TRYING [7]
% 20.25/3.34  TRYING [8]
% 25.26/4.01  TRYING [8]
% 42.53/6.53  TRYING [9]
% 44.06/6.66  TRYING [7]
% 46.53/7.04  TRYING [9]
% 84.99/12.55  TRYING [10]
% 87.98/12.98  TRYING [10]
% 105.95/15.54  TRYING [8]
% 155.76/22.72  TRYING [11]
% 162.14/23.58  TRYING [11]
% 210.40/30.49  % (12868)First to succeed.
% 210.40/30.49  % (12868)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12865"
% 210.40/30.53  % (12868)Refutation found. Thanks to Tanya!
% 210.40/30.53  % SZS status Unsatisfiable for theBenchmark
% 210.40/30.53  % SZS output start Proof for theBenchmark
% See solution above
% 210.40/30.53  % (12868)------------------------------
% 210.40/30.53  % (12868)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 210.40/30.53  % (12868)Termination reason: Refutation
% 210.40/30.53  
% 210.40/30.53  % (12868)Memory used [KB]: 265752
% 210.40/30.53  % (12868)Time elapsed: 30.104 s
% 210.40/30.53  % (12868)Instructions burned: 72706 (million)
% 210.40/30.53  % (12865)Success in time 30.048 s
%------------------------------------------------------------------------------