TSTP Solution File: SWC054-1 by Vampire-SAT---4.8

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC054-1 : 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 : n014.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 04:41:32 EDT 2024

% Result   : Unsatisfiable 0.21s 0.38s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   41 (   9 unt;   0 def)
%            Number of atoms       :   94 (  32 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  104 (  51   ~;  53   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 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(f411,plain,
    $false,
    inference(resolution,[],[f409,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f409,plain,
    ~ ssList(nil),
    inference(resolution,[],[f403,f228]) ).

fof(f228,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f209]) ).

fof(f209,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(f403,plain,
    neq(nil,nil),
    inference(trivial_inequality_removal,[],[f402]) ).

fof(f402,plain,
    ( nil != nil
    | neq(nil,nil) ),
    inference(backward_demodulation,[],[f387,f398]) ).

fof(f398,plain,
    nil = sk1,
    inference(backward_demodulation,[],[f191,f397]) ).

fof(f397,plain,
    nil = sk3,
    inference(trivial_inequality_removal,[],[f389]) ).

fof(f389,plain,
    ( nil != nil
    | nil = sk3 ),
    inference(backward_demodulation,[],[f234,f384]) ).

fof(f384,plain,
    nil = sk2,
    inference(duplicate_literal_removal,[],[f383]) ).

fof(f383,plain,
    ( nil = sk2
    | nil = sk2 ),
    inference(resolution,[],[f382,f241]) ).

fof(f241,plain,
    ( ssList(sk5)
    | nil = sk2 ),
    inference(resolution,[],[f197,f233]) ).

fof(f233,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk5) ),
    inference(forward_demodulation,[],[f193,f190]) ).

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

fof(f193,axiom,
    ( ssList(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

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

fof(f382,plain,
    ( ~ ssList(sk5)
    | nil = sk2 ),
    inference(duplicate_literal_removal,[],[f381]) ).

fof(f381,plain,
    ( nil = sk2
    | ~ ssList(sk5)
    | nil = sk2 ),
    inference(resolution,[],[f380,f197]) ).

fof(f380,plain,
    ( ~ neq(sk2,nil)
    | nil = sk2
    | ~ ssList(sk5) ),
    inference(resolution,[],[f379,f239]) ).

fof(f239,plain,
    ( segmentP(sk2,sk5)
    | ~ neq(sk2,nil) ),
    inference(forward_demodulation,[],[f238,f190]) ).

fof(f238,plain,
    ( ~ neq(sk2,nil)
    | segmentP(sk4,sk5) ),
    inference(forward_demodulation,[],[f195,f190]) ).

fof(f195,axiom,
    ( ~ neq(sk4,nil)
    | segmentP(sk4,sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f379,plain,
    ( ~ segmentP(sk2,sk5)
    | ~ ssList(sk5)
    | nil = sk2 ),
    inference(duplicate_literal_removal,[],[f378]) ).

fof(f378,plain,
    ( nil = sk2
    | ~ ssList(sk5)
    | ~ segmentP(sk2,sk5)
    | nil = sk2 ),
    inference(resolution,[],[f377,f197]) ).

fof(f377,plain,
    ( ~ neq(sk2,nil)
    | nil = sk2
    | ~ ssList(sk5)
    | ~ segmentP(sk2,sk5) ),
    inference(resolution,[],[f376,f237]) ).

fof(f237,plain,
    ( segmentP(sk1,sk5)
    | ~ neq(sk2,nil) ),
    inference(forward_demodulation,[],[f236,f191]) ).

fof(f236,plain,
    ( ~ neq(sk2,nil)
    | segmentP(sk3,sk5) ),
    inference(forward_demodulation,[],[f196,f190]) ).

fof(f196,axiom,
    ( ~ neq(sk4,nil)
    | segmentP(sk3,sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f376,plain,
    ( ~ segmentP(sk1,sk5)
    | ~ segmentP(sk2,sk5)
    | nil = sk2
    | ~ ssList(sk5) ),
    inference(duplicate_literal_removal,[],[f375]) ).

fof(f375,plain,
    ( ~ segmentP(sk1,sk5)
    | ~ segmentP(sk2,sk5)
    | nil = sk2
    | ~ ssList(sk5)
    | nil = sk2 ),
    inference(resolution,[],[f373,f197]) ).

fof(f373,plain,
    ( ~ neq(sk2,nil)
    | ~ segmentP(sk1,sk5)
    | ~ segmentP(sk2,sk5)
    | nil = sk2
    | ~ ssList(sk5) ),
    inference(resolution,[],[f198,f235]) ).

fof(f235,plain,
    ( neq(sk5,nil)
    | ~ neq(sk2,nil) ),
    inference(forward_demodulation,[],[f194,f190]) ).

fof(f194,axiom,
    ( ~ neq(sk4,nil)
    | neq(sk5,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f198,axiom,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6)
      | nil = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f234,plain,
    ( nil != sk2
    | nil = sk3 ),
    inference(forward_demodulation,[],[f192,f190]) ).

fof(f192,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

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

fof(f387,plain,
    ( neq(nil,nil)
    | nil != sk1 ),
    inference(backward_demodulation,[],[f199,f384]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC054-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n014.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 02:55:08 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % (8513)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (8521)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)
% 0.21/0.37  % (8518)WARNING: value z3 for option sas not known
% 0.21/0.37  % (8516)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37  % (8517)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37  % (8519)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37  % (8518)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)
% 0.21/0.37  % (8520)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)
% 0.21/0.37  % (8522)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)
% 0.21/0.38  % (8521)First to succeed.
% 0.21/0.38  % (8521)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8513"
% 0.21/0.38  % (8521)Refutation found. Thanks to Tanya!
% 0.21/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38  % (8521)------------------------------
% 0.21/0.38  % (8521)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38  % (8521)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (8521)Memory used [KB]: 1146
% 0.21/0.38  % (8521)Time elapsed: 0.013 s
% 0.21/0.38  % (8521)Instructions burned: 22 (million)
% 0.21/0.38  % (8513)Success in time 0.025 s
%------------------------------------------------------------------------------