TSTP Solution File: SWC047-1 by Vampire-SAT---4.8

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC047-1 : 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 : n002.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 04:41:04 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   28 (  12 unt;   0 def)
%            Number of atoms       :   59 (  20 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   64 (  33   ~;  31   |;   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(f288,plain,
    $false,
    inference(resolution,[],[f285,f8]) ).

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

fof(f285,plain,
    ~ ssList(nil),
    inference(resolution,[],[f283,f224]) ).

fof(f224,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f205]) ).

fof(f205,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(f283,plain,
    neq(nil,nil),
    inference(trivial_inequality_removal,[],[f279]) ).

fof(f279,plain,
    ( nil != nil
    | neq(nil,nil) ),
    inference(backward_demodulation,[],[f234,f274]) ).

fof(f274,plain,
    nil = sk2,
    inference(resolution,[],[f273,f230]) ).

fof(f230,plain,
    ssList(sk2),
    inference(forward_demodulation,[],[f189,f190]) ).

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

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f273,plain,
    ( ~ ssList(sk2)
    | nil = sk2 ),
    inference(duplicate_literal_removal,[],[f272]) ).

fof(f272,plain,
    ( ~ ssList(sk2)
    | nil = sk2
    | ~ ssList(sk2) ),
    inference(resolution,[],[f242,f59]) ).

fof(f59,axiom,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f242,plain,
    ( ~ rearsegP(sk2,sk2)
    | ~ ssList(sk2)
    | nil = sk2 ),
    inference(duplicate_literal_removal,[],[f241]) ).

fof(f241,plain,
    ( ~ ssList(sk2)
    | ~ rearsegP(sk2,sk2)
    | nil = sk2
    | nil = sk2 ),
    inference(resolution,[],[f240,f193]) ).

fof(f193,axiom,
    ( neq(sk2,nil)
    | nil = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f240,plain,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ rearsegP(sk2,X6)
      | nil = sk2 ),
    inference(duplicate_literal_removal,[],[f239]) ).

fof(f239,plain,
    ! [X6] :
      ( ~ rearsegP(sk2,X6)
      | ~ ssList(X6)
      | ~ neq(X6,nil)
      | ~ rearsegP(sk2,X6)
      | nil = sk2 ),
    inference(forward_demodulation,[],[f194,f228]) ).

fof(f228,plain,
    sk1 = sk2,
    inference(backward_demodulation,[],[f227,f190]) ).

fof(f227,plain,
    sk1 = sk4,
    inference(backward_demodulation,[],[f192,f191]) ).

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

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

fof(f194,axiom,
    ! [X6] :
      ( ~ ssList(X6)
      | ~ neq(X6,nil)
      | ~ rearsegP(sk1,X6)
      | ~ rearsegP(sk2,X6)
      | nil = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f234,plain,
    ( nil != sk2
    | neq(nil,nil) ),
    inference(inner_rewriting,[],[f233]) ).

fof(f233,plain,
    ( nil != sk2
    | neq(sk2,nil) ),
    inference(forward_demodulation,[],[f195,f228]) ).

fof(f195,axiom,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC047-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 03:02:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (31676)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (31679)WARNING: value z3 for option sas not known
% 0.14/0.37  % (31680)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (31683)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)
% 0.14/0.37  % (31682)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)
% 0.14/0.37  % (31677)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (31678)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (31679)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)
% 0.14/0.38  % (31681)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)
% 0.14/0.38  % (31682)First to succeed.
% 0.14/0.38  % (31682)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31676"
% 0.14/0.38  % (31682)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (31682)------------------------------
% 0.14/0.38  % (31682)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (31682)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (31682)Memory used [KB]: 1077
% 0.14/0.38  % (31682)Time elapsed: 0.009 s
% 0.14/0.38  % (31682)Instructions burned: 15 (million)
% 0.14/0.38  % (31676)Success in time 0.017 s
%------------------------------------------------------------------------------