TSTP Solution File: SWC020-1 by Vampire-SAT---4.8

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC020-1 : 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 : 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 Apr 30 15:46:55 EDT 2024

% Result   : Unsatisfiable 0.21s 0.40s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   31 (  11 unt;   0 def)
%            Number of atoms       :   66 (  25 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   76 (  41   ~;  35   |;   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    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f261,plain,
    $false,
    inference(trivial_inequality_removal,[],[f260]) ).

fof(f260,plain,
    nil != nil,
    inference(superposition,[],[f248,f256]) ).

fof(f256,plain,
    nil = sk2,
    inference(backward_demodulation,[],[f190,f255]) ).

fof(f255,plain,
    nil = sk4,
    inference(resolution,[],[f253,f8]) ).

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

fof(f253,plain,
    ( ~ ssList(nil)
    | nil = sk4 ),
    inference(resolution,[],[f242,f225]) ).

fof(f225,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f206]) ).

fof(f206,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(f242,plain,
    ( neq(nil,nil)
    | nil = sk4 ),
    inference(backward_demodulation,[],[f194,f240]) ).

fof(f240,plain,
    nil = sk3,
    inference(resolution,[],[f239,f228]) ).

fof(f228,plain,
    ssList(sk3),
    inference(forward_demodulation,[],[f186,f191]) ).

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

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

fof(f239,plain,
    ( ~ ssList(sk3)
    | nil = sk3 ),
    inference(duplicate_literal_removal,[],[f238]) ).

fof(f238,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ ssList(sk3) ),
    inference(resolution,[],[f237,f61]) ).

fof(f61,axiom,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f237,plain,
    ( ~ frontsegP(sk3,sk3)
    | ~ ssList(sk3)
    | nil = sk3 ),
    inference(duplicate_literal_removal,[],[f235]) ).

fof(f235,plain,
    ( ~ ssList(sk3)
    | ~ frontsegP(sk3,sk3)
    | nil = sk3
    | nil = sk3 ),
    inference(resolution,[],[f233,f197]) ).

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

fof(f233,plain,
    ( ~ frontsegP(sk4,sk3)
    | ~ ssList(sk3)
    | ~ frontsegP(sk3,sk3)
    | nil = sk3 ),
    inference(resolution,[],[f232,f196]) ).

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

fof(f232,plain,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ frontsegP(sk3,X6)
      | ~ ssList(X6)
      | ~ frontsegP(sk4,X6) ),
    inference(forward_demodulation,[],[f231,f190]) ).

fof(f231,plain,
    ! [X6] :
      ( ~ frontsegP(sk3,X6)
      | ~ ssList(X6)
      | ~ neq(X6,nil)
      | ~ frontsegP(sk2,X6) ),
    inference(forward_demodulation,[],[f192,f191]) ).

fof(f192,axiom,
    ! [X6] :
      ( ~ ssList(X6)
      | ~ neq(X6,nil)
      | ~ frontsegP(sk1,X6)
      | ~ frontsegP(sk2,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

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

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

fof(f248,plain,
    nil != sk2,
    inference(trivial_inequality_removal,[],[f245]) ).

fof(f245,plain,
    ( nil != nil
    | nil != sk2 ),
    inference(backward_demodulation,[],[f230,f240]) ).

fof(f230,plain,
    ( nil != sk3
    | nil != sk2 ),
    inference(forward_demodulation,[],[f193,f191]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWC020-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n014.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 04:00:49 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  % (4210)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39  % (4213)WARNING: value z3 for option sas not known
% 0.21/0.39  % (4211)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39  % (4212)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  % (4214)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39  % (4213)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  % (4215)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  % (4216)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  % (4217)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)
% 0.21/0.40  % (4216)First to succeed.
% 0.21/0.40  % (4216)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  % (4216)------------------------------
% 0.21/0.40  % (4216)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.40  % (4216)Termination reason: Refutation
% 0.21/0.40  
% 0.21/0.40  % (4216)Memory used [KB]: 1040
% 0.21/0.40  % (4216)Time elapsed: 0.009 s
% 0.21/0.40  % (4216)Instructions burned: 13 (million)
% 0.21/0.40  % (4216)------------------------------
% 0.21/0.40  % (4216)------------------------------
% 0.21/0.40  % (4210)Success in time 0.03 s
%------------------------------------------------------------------------------