TSTP Solution File: SWC030-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC030-1 : 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 : n019.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 04:40:43 EDT 2024

% Result   : Unsatisfiable 0.12s 0.29s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   50 (  27 unt;   0 def)
%            Number of atoms       :   92 (  65 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   74 (  32   ~;  42   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1086,plain,
    $false,
    inference(trivial_inequality_removal,[],[f1085]) ).

fof(f1085,plain,
    nil != nil,
    inference(superposition,[],[f1028,f1075]) ).

fof(f1075,plain,
    nil = sk2,
    inference(backward_demodulation,[],[f265,f1074]) ).

fof(f1074,plain,
    nil = app(sk2,nil),
    inference(forward_demodulation,[],[f1044,f1046]) ).

fof(f1046,plain,
    sk2 = sk6,
    inference(backward_demodulation,[],[f300,f1037]) ).

fof(f1037,plain,
    sk2 = app(nil,sk6),
    inference(backward_demodulation,[],[f233,f1035]) ).

fof(f1035,plain,
    nil = sk5,
    inference(resolution,[],[f1034,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f1034,plain,
    ( ~ ssList(sk5)
    | nil = sk5 ),
    inference(resolution,[],[f1026,f193]) ).

fof(f193,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f1026,plain,
    ( ~ ssList(sk6)
    | nil = sk5
    | ~ ssList(sk5) ),
    inference(trivial_inequality_removal,[],[f1025]) ).

fof(f1025,plain,
    ( nil != nil
    | ~ ssList(sk6)
    | nil = sk5
    | ~ ssList(sk5) ),
    inference(backward_demodulation,[],[f968,f1013]) ).

fof(f1013,plain,
    nil = sk1,
    inference(duplicate_literal_removal,[],[f992]) ).

fof(f992,plain,
    ( nil = sk1
    | nil = sk1
    | nil = sk1 ),
    inference(superposition,[],[f908,f196]) ).

fof(f196,axiom,
    ( nil = sk2
    | nil = sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f908,plain,
    ( sk1 = sk2
    | nil = sk1 ),
    inference(forward_demodulation,[],[f907,f297]) ).

fof(f297,plain,
    sk1 = app(nil,sk1),
    inference(resolution,[],[f74,f231]) ).

fof(f231,plain,
    ssList(sk1),
    inference(forward_demodulation,[],[f188,f191]) ).

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

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f907,plain,
    ( sk2 = app(nil,sk1)
    | nil = sk1 ),
    inference(duplicate_literal_removal,[],[f902]) ).

fof(f902,plain,
    ( sk2 = app(nil,sk1)
    | nil = sk1
    | nil = sk1 ),
    inference(superposition,[],[f868,f879]) ).

fof(f879,plain,
    ( sk1 = sk6
    | nil = sk1 ),
    inference(superposition,[],[f867,f267]) ).

fof(f267,plain,
    sk6 = app(sk6,nil),
    inference(resolution,[],[f73,f193]) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f867,plain,
    ( sk1 = app(sk6,nil)
    | nil = sk1 ),
    inference(superposition,[],[f232,f865]) ).

fof(f865,plain,
    ( nil = sk5
    | nil = sk1 ),
    inference(resolution,[],[f864,f192]) ).

fof(f864,plain,
    ( ~ ssList(sk5)
    | nil = sk5
    | nil = sk1 ),
    inference(resolution,[],[f863,f193]) ).

fof(f863,plain,
    ( ~ ssList(sk6)
    | nil = sk5
    | ~ ssList(sk5)
    | nil = sk1 ),
    inference(trivial_inequality_removal,[],[f862]) ).

fof(f862,plain,
    ( nil != nil
    | ~ ssList(sk5)
    | nil = sk5
    | ~ ssList(sk6)
    | nil = sk1 ),
    inference(superposition,[],[f858,f196]) ).

fof(f858,plain,
    ( nil != sk2
    | ~ ssList(sk5)
    | nil = sk5
    | ~ ssList(sk6) ),
    inference(superposition,[],[f118,f233]) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | nil = X0
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f232,plain,
    sk1 = app(sk6,sk5),
    inference(forward_demodulation,[],[f195,f191]) ).

fof(f195,axiom,
    sk3 = app(sk6,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f868,plain,
    ( sk2 = app(nil,sk6)
    | nil = sk1 ),
    inference(superposition,[],[f233,f865]) ).

fof(f968,plain,
    ( nil != sk1
    | ~ ssList(sk6)
    | nil = sk5
    | ~ ssList(sk5) ),
    inference(superposition,[],[f119,f232]) ).

fof(f119,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | nil = X1
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f233,plain,
    sk2 = app(sk5,sk6),
    inference(forward_demodulation,[],[f194,f190]) ).

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

fof(f194,axiom,
    sk4 = app(sk5,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f300,plain,
    sk6 = app(nil,sk6),
    inference(resolution,[],[f74,f193]) ).

fof(f1044,plain,
    nil = app(sk6,nil),
    inference(backward_demodulation,[],[f1017,f1035]) ).

fof(f1017,plain,
    nil = app(sk6,sk5),
    inference(backward_demodulation,[],[f232,f1013]) ).

fof(f265,plain,
    sk2 = app(sk2,nil),
    inference(resolution,[],[f73,f230]) ).

fof(f230,plain,
    ssList(sk2),
    inference(forward_demodulation,[],[f189,f190]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f1028,plain,
    nil != sk2,
    inference(trivial_inequality_removal,[],[f1015]) ).

fof(f1015,plain,
    ( nil != nil
    | nil != sk2 ),
    inference(backward_demodulation,[],[f199,f1013]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.06  % Problem    : SWC030-1 : TPTP v8.2.0. Released v2.4.0.
% 0.02/0.07  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.25  % Computer : n019.cluster.edu
% 0.08/0.25  % Model    : x86_64 x86_64
% 0.08/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25  % Memory   : 8042.1875MB
% 0.08/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26  % CPULimit   : 300
% 0.08/0.26  % WCLimit    : 300
% 0.08/0.26  % DateTime   : Sun May 19 03:25:53 EDT 2024
% 0.11/0.26  % CPUTime    : 
% 0.11/0.26  % (25125)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.27  % (25128)WARNING: value z3 for option sas not known
% 0.12/0.27  % (25129)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.27  % (25126)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.27  % (25128)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)
% 0.12/0.27  % (25127)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.27  % (25130)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)
% 0.12/0.27  % (25131)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)
% 0.12/0.27  % (25132)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)
% 0.12/0.28  TRYING [1]
% 0.12/0.28  TRYING [2]
% 0.12/0.28  TRYING [3]
% 0.12/0.28  TRYING [1]
% 0.12/0.29  TRYING [2]
% 0.12/0.29  % (25131)First to succeed.
% 0.12/0.29  % (25131)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25125"
% 0.12/0.29  % (25131)Refutation found. Thanks to Tanya!
% 0.12/0.29  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.29  % (25131)------------------------------
% 0.12/0.29  % (25131)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.29  % (25131)Termination reason: Refutation
% 0.12/0.29  
% 0.12/0.29  % (25131)Memory used [KB]: 1566
% 0.12/0.29  % (25131)Time elapsed: 0.018 s
% 0.12/0.29  % (25131)Instructions burned: 61 (million)
% 0.12/0.29  % (25125)Success in time 0.029 s
%------------------------------------------------------------------------------