TSTP Solution File: SWC386-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC386-1 : 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 : n032.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 16:21:54 EDT 2024

% Result   : Unsatisfiable 0.15s 0.34s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   37 (   8 unt;   0 def)
%            Number of atoms       :   80 (  40 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   76 (  33   ~;  43   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f354,plain,
    $false,
    inference(resolution,[],[f352,f8]) ).

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

fof(f352,plain,
    ~ ssList(nil),
    inference(resolution,[],[f350,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/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f350,plain,
    neq(nil,nil),
    inference(trivial_inequality_removal,[],[f349]) ).

fof(f349,plain,
    ( nil != nil
    | neq(nil,nil) ),
    inference(backward_demodulation,[],[f336,f344]) ).

fof(f344,plain,
    nil = sk3,
    inference(duplicate_literal_removal,[],[f342]) ).

fof(f342,plain,
    ( nil = sk3
    | nil = sk3 ),
    inference(resolution,[],[f341,f193]) ).

fof(f193,axiom,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f341,plain,
    ( ~ ssItem(sk5)
    | nil = sk3 ),
    inference(resolution,[],[f337,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f337,plain,
    ( memberP(nil,sk5)
    | nil = sk3 ),
    inference(backward_demodulation,[],[f236,f333]) ).

fof(f333,plain,
    nil = sk2,
    inference(duplicate_literal_removal,[],[f330]) ).

fof(f330,plain,
    ( nil = sk2
    | nil = sk2 ),
    inference(resolution,[],[f329,f234]) ).

fof(f234,plain,
    ( ssItem(sk5)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f192,f190]) ).

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

fof(f192,axiom,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f329,plain,
    ( ~ ssItem(sk5)
    | nil = sk2 ),
    inference(duplicate_literal_removal,[],[f327]) ).

fof(f327,plain,
    ( ~ ssItem(sk5)
    | nil = sk2
    | nil = sk2 ),
    inference(resolution,[],[f326,f238]) ).

fof(f238,plain,
    ( memberP(sk2,sk5)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f237,f190]) ).

fof(f237,plain,
    ( nil = sk2
    | memberP(sk4,sk5) ),
    inference(forward_demodulation,[],[f195,f190]) ).

fof(f195,axiom,
    ( nil = sk4
    | memberP(sk4,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f326,plain,
    ( ~ memberP(sk2,sk5)
    | ~ ssItem(sk5)
    | nil = sk2 ),
    inference(trivial_inequality_removal,[],[f325]) ).

fof(f325,plain,
    ( sk3 != sk3
    | ~ ssItem(sk5)
    | ~ memberP(sk2,sk5)
    | nil = sk2 ),
    inference(duplicate_literal_removal,[],[f322]) ).

fof(f322,plain,
    ( sk3 != sk3
    | ~ ssItem(sk5)
    | ~ memberP(sk2,sk5)
    | nil = sk2
    | nil = sk2 ),
    inference(superposition,[],[f243,f239]) ).

fof(f239,plain,
    ( sk3 = cons(sk5,nil)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f194,f190]) ).

fof(f194,axiom,
    ( nil = sk4
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f243,plain,
    ! [X6] :
      ( sk3 != cons(X6,nil)
      | ~ ssItem(X6)
      | ~ memberP(sk2,X6)
      | nil = sk2 ),
    inference(forward_demodulation,[],[f199,f191]) ).

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

fof(f199,axiom,
    ! [X6] :
      ( ~ ssItem(X6)
      | ~ memberP(sk2,X6)
      | nil = sk2
      | sk1 != cons(X6,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f236,plain,
    ( memberP(sk2,sk5)
    | nil = sk3 ),
    inference(forward_demodulation,[],[f197,f190]) ).

fof(f197,axiom,
    ( nil = sk3
    | memberP(sk4,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f336,plain,
    ( nil != sk3
    | neq(nil,nil) ),
    inference(backward_demodulation,[],[f235,f333]) ).

fof(f235,plain,
    ( nil != sk3
    | neq(sk2,nil) ),
    inference(forward_demodulation,[],[f200,f191]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SWC386-1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 04:20:06 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  % (19055)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32  % (19056)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33  % (19058)WARNING: value z3 for option sas not known
% 0.15/0.33  % (19057)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33  % (19059)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33  % (19060)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)
% 0.15/0.33  % (19061)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)
% 0.15/0.33  % (19062)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)
% 0.15/0.33  % (19058)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)
% 0.15/0.34  % (19061)First to succeed.
% 0.15/0.34  TRYING [1]
% 0.15/0.34  % (19061)Refutation found. Thanks to Tanya!
% 0.15/0.34  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.34  % (19061)------------------------------
% 0.15/0.34  % (19061)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.34  % (19061)Termination reason: Refutation
% 0.15/0.34  
% 0.15/0.34  % (19061)Memory used [KB]: 1145
% 0.15/0.34  % (19061)Time elapsed: 0.012 s
% 0.15/0.34  % (19061)Instructions burned: 20 (million)
% 0.15/0.34  % (19061)------------------------------
% 0.15/0.34  % (19061)------------------------------
% 0.15/0.34  % (19055)Success in time 0.028 s
%------------------------------------------------------------------------------