TSTP Solution File: SWC105-1 by Vampire-SAT---4.8

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC105-1 : 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 04:47:26 EDT 2024

% Result   : Unsatisfiable 0.19s 0.37s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   34 (   9 unt;   0 def)
%            Number of atoms       :   66 (  30 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   53 (  21   ~;  32   |;   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    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f336,plain,
    $false,
    inference(resolution,[],[f334,f8]) ).

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

fof(f334,plain,
    ~ ssList(nil),
    inference(resolution,[],[f332,f227]) ).

fof(f227,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f208]) ).

fof(f208,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(f332,plain,
    neq(nil,nil),
    inference(trivial_inequality_removal,[],[f327]) ).

fof(f327,plain,
    ( nil != nil
    | neq(nil,nil) ),
    inference(backward_demodulation,[],[f250,f324]) ).

fof(f324,plain,
    nil = sk1,
    inference(resolution,[],[f323,f186]) ).

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

fof(f323,plain,
    ( ~ ssList(sk1)
    | nil = sk1 ),
    inference(duplicate_literal_removal,[],[f318]) ).

fof(f318,plain,
    ( ~ ssList(sk1)
    | nil = sk1
    | nil = sk1 ),
    inference(resolution,[],[f82,f252]) ).

fof(f252,plain,
    ( rearsegP(nil,sk1)
    | nil = sk1 ),
    inference(backward_demodulation,[],[f241,f248]) ).

fof(f248,plain,
    nil = sk2,
    inference(duplicate_literal_removal,[],[f247]) ).

fof(f247,plain,
    ( nil = sk2
    | nil = sk2 ),
    inference(resolution,[],[f245,f236]) ).

fof(f236,plain,
    ( rearsegP(sk2,sk1)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f235,f190]) ).

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

fof(f235,plain,
    ( rearsegP(sk4,sk1)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f234,f191]) ).

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

fof(f234,plain,
    ( nil = sk2
    | rearsegP(sk4,sk3) ),
    inference(forward_demodulation,[],[f197,f190]) ).

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

fof(f245,plain,
    ( ~ rearsegP(sk2,sk1)
    | nil = sk2 ),
    inference(duplicate_literal_removal,[],[f244]) ).

fof(f244,plain,
    ( ~ rearsegP(sk2,sk1)
    | nil = sk2
    | nil = sk2 ),
    inference(resolution,[],[f193,f233]) ).

fof(f233,plain,
    ( neq(sk1,nil)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f232,f191]) ).

fof(f232,plain,
    ( nil = sk2
    | neq(sk3,nil) ),
    inference(forward_demodulation,[],[f196,f190]) ).

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

fof(f193,axiom,
    ( ~ neq(sk1,nil)
    | ~ rearsegP(sk2,sk1)
    | nil = sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f241,plain,
    ( rearsegP(sk2,sk1)
    | nil = sk1 ),
    inference(forward_demodulation,[],[f240,f190]) ).

fof(f240,plain,
    ( rearsegP(sk4,sk1)
    | nil = sk1 ),
    inference(forward_demodulation,[],[f239,f191]) ).

fof(f239,plain,
    ( nil = sk1
    | rearsegP(sk4,sk3) ),
    inference(forward_demodulation,[],[f199,f191]) ).

fof(f199,axiom,
    ( nil = sk3
    | rearsegP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f82,axiom,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f250,plain,
    ( nil != sk1
    | neq(nil,nil) ),
    inference(backward_demodulation,[],[f194,f248]) ).

fof(f194,axiom,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC105-1 : TPTP v8.2.0. Released v2.4.0.
% 0.13/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 03:03:22 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (27846)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36  % (27849)WARNING: value z3 for option sas not known
% 0.19/0.36  % (27853)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)
% 0.19/0.36  % (27848)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.36  % (27850)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.36  % (27849)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)
% 0.19/0.36  % (27852)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)
% 0.19/0.36  % (27847)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.36  % (27851)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)
% 0.19/0.37  % (27852)First to succeed.
% 0.19/0.37  TRYING [1]
% 0.19/0.37  % (27852)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27846"
% 0.19/0.37  % (27852)Refutation found. Thanks to Tanya!
% 0.19/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.37  % (27852)------------------------------
% 0.19/0.37  % (27852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.37  % (27852)Termination reason: Refutation
% 0.19/0.37  
% 0.19/0.37  % (27852)Memory used [KB]: 1142
% 0.19/0.37  % (27852)Time elapsed: 0.013 s
% 0.19/0.37  % (27852)Instructions burned: 19 (million)
% 0.19/0.38  % (27846)Success in time 0.034 s
%------------------------------------------------------------------------------