TSTP Solution File: SWC032-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC032-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.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 Apr 30 15:47:39 EDT 2024

% Result   : Unsatisfiable 0.13s 0.40s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   25 (  13 unt;   0 def)
%            Number of atoms       :   47 (  33 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   46 (  24   ~;  22   |;   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    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f888,plain,
    $false,
    inference(trivial_inequality_removal,[],[f887]) ).

fof(f887,plain,
    nil != nil,
    inference(superposition,[],[f848,f877]) ).

fof(f877,plain,
    nil = sk2,
    inference(backward_demodulation,[],[f190,f847]) ).

fof(f847,plain,
    nil = sk4,
    inference(trivial_inequality_removal,[],[f839]) ).

fof(f839,plain,
    ( nil != nil
    | nil = sk4 ),
    inference(backward_demodulation,[],[f236,f833]) ).

fof(f833,plain,
    nil = sk1,
    inference(resolution,[],[f832,f186]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f832,plain,
    ( ~ ssList(sk1)
    | nil = sk1 ),
    inference(resolution,[],[f831,f192]) ).

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

fof(f831,plain,
    ( ~ ssList(sk5)
    | nil = sk1
    | ~ ssList(sk1) ),
    inference(trivial_inequality_removal,[],[f830]) ).

fof(f830,plain,
    ( nil != nil
    | ~ ssList(sk1)
    | nil = sk1
    | ~ ssList(sk5) ),
    inference(duplicate_literal_removal,[],[f829]) ).

fof(f829,plain,
    ( nil != nil
    | ~ ssList(sk1)
    | nil = sk1
    | ~ ssList(sk5)
    | nil = sk1 ),
    inference(superposition,[],[f825,f197]) ).

fof(f197,axiom,
    ( nil = sk2
    | nil = sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f825,plain,
    ( nil != sk2
    | ~ ssList(sk1)
    | nil = sk1
    | ~ ssList(sk5) ),
    inference(superposition,[],[f118,f235]) ).

fof(f235,plain,
    sk2 = app(sk1,sk5),
    inference(forward_demodulation,[],[f234,f190]) ).

fof(f234,plain,
    sk4 = app(sk1,sk5),
    inference(forward_demodulation,[],[f193,f191]) ).

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

fof(f193,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

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

fof(f236,plain,
    ( nil != sk1
    | nil = sk4 ),
    inference(forward_demodulation,[],[f196,f191]) ).

fof(f196,axiom,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

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

fof(f848,plain,
    nil != sk2,
    inference(trivial_inequality_removal,[],[f836]) ).

fof(f836,plain,
    ( nil != nil
    | nil != sk2 ),
    inference(backward_demodulation,[],[f200,f833]) ).

fof(f200,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC032-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n028.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Apr 30 04:37:59 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (16944)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (16947)WARNING: value z3 for option sas not known
% 0.13/0.37  % (16951)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)
% 0.13/0.37  % (16946)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (16949)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)
% 0.13/0.37  % (16948)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (16950)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)
% 0.13/0.37  % (16947)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)
% 0.13/0.37  % (16945)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [2]
% 0.13/0.39  TRYING [3]
% 0.13/0.40  TRYING [1]
% 0.13/0.40  TRYING [2]
% 0.13/0.40  % (16950)First to succeed.
% 0.13/0.40  % (16950)Refutation found. Thanks to Tanya!
% 0.13/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.40  % (16950)------------------------------
% 0.13/0.40  % (16950)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.40  % (16950)Termination reason: Refutation
% 0.13/0.40  
% 0.13/0.40  % (16950)Memory used [KB]: 1450
% 0.13/0.40  % (16950)Time elapsed: 0.029 s
% 0.13/0.40  % (16950)Instructions burned: 54 (million)
% 0.13/0.40  % (16950)------------------------------
% 0.13/0.40  % (16950)------------------------------
% 0.13/0.40  % (16944)Success in time 0.049 s
%------------------------------------------------------------------------------