TSTP Solution File: SWC037-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC037-1 : 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 : n005.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 15:47:40 EDT 2024

% Result   : Unsatisfiable 0.21s 0.40s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   25 (  11 unt;   0 def)
%            Number of atoms       :   46 (  25 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   36 (  15   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f329,plain,
    $false,
    inference(trivial_inequality_removal,[],[f328]) ).

fof(f328,plain,
    nil != nil,
    inference(superposition,[],[f193,f324]) ).

fof(f324,plain,
    nil = sk1,
    inference(backward_demodulation,[],[f192,f323]) ).

fof(f323,plain,
    nil = sk3,
    inference(resolution,[],[f321,f234]) ).

fof(f234,plain,
    ssList(nil),
    inference(forward_demodulation,[],[f187,f190]) ).

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

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f321,plain,
    ( ~ ssList(nil)
    | nil = sk3 ),
    inference(resolution,[],[f317,f229]) ).

fof(f229,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f210]) ).

fof(f210,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 != X1
      | ~ neq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f317,plain,
    ( neq(nil,nil)
    | nil = sk3 ),
    inference(duplicate_literal_removal,[],[f308]) ).

fof(f308,plain,
    ( neq(nil,nil)
    | nil = sk3
    | nil = sk3 ),
    inference(superposition,[],[f199,f306]) ).

fof(f306,plain,
    ( nil = sk5
    | nil = sk3 ),
    inference(duplicate_literal_removal,[],[f305]) ).

fof(f305,plain,
    ( nil = sk5
    | nil = sk3
    | nil = sk3 ),
    inference(resolution,[],[f300,f195]) ).

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

fof(f300,plain,
    ( ~ ssList(sk5)
    | nil = sk5
    | nil = sk3 ),
    inference(resolution,[],[f80,f236]) ).

fof(f236,plain,
    ( segmentP(nil,sk5)
    | nil = sk3 ),
    inference(forward_demodulation,[],[f200,f232]) ).

fof(f232,plain,
    nil = sk4,
    inference(backward_demodulation,[],[f191,f190]) ).

fof(f191,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f200,axiom,
    ( nil = sk3
    | segmentP(sk4,sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f80,axiom,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f199,axiom,
    ( neq(sk5,nil)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f192,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f193,axiom,
    nil != sk1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC037-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37  % Computer : n005.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Tue Apr 30 04:15:26 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  % (10520)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39  % (10523)WARNING: value z3 for option sas not known
% 0.21/0.39  % (10525)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)
% 0.21/0.39  % (10527)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)
% 0.21/0.39  % (10523)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)
% 0.21/0.39  % (10522)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39  % (10524)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39  % (10526)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)
% 0.21/0.39  % (10521)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.40  % (10526)First to succeed.
% 0.21/0.40  TRYING [1]
% 0.21/0.40  % (10523)Also succeeded, but the first one will report.
% 0.21/0.40  % (10526)Refutation found. Thanks to Tanya!
% 0.21/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40  % (10526)------------------------------
% 0.21/0.40  % (10526)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.40  % (10526)Termination reason: Refutation
% 0.21/0.40  
% 0.21/0.40  % (10526)Memory used [KB]: 1141
% 0.21/0.40  % (10526)Time elapsed: 0.012 s
% 0.21/0.40  % (10526)Instructions burned: 18 (million)
% 0.21/0.40  % (10526)------------------------------
% 0.21/0.40  % (10526)------------------------------
% 0.21/0.40  % (10520)Success in time 0.032 s
%------------------------------------------------------------------------------