TSTP Solution File: SWC028-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC028-1 : 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 : n029.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 04:40:42 EDT 2024

% Result   : Unsatisfiable 0.19s 0.38s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   29 (  10 unt;   0 def)
%            Number of atoms       :   54 (  30 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   47 (  22   ~;  25   |;   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(f338,plain,
    $false,
    inference(trivial_inequality_removal,[],[f337]) ).

fof(f337,plain,
    nil != nil,
    inference(superposition,[],[f324,f328]) ).

fof(f328,plain,
    nil = sk2,
    inference(resolution,[],[f326,f8]) ).

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

fof(f326,plain,
    ( ~ ssList(nil)
    | nil = sk2 ),
    inference(resolution,[],[f320,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/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f320,plain,
    ( neq(nil,nil)
    | nil = sk2 ),
    inference(backward_demodulation,[],[f234,f316]) ).

fof(f316,plain,
    nil = sk3,
    inference(resolution,[],[f315,f231]) ).

fof(f231,plain,
    ssList(sk3),
    inference(forward_demodulation,[],[f186,f191]) ).

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

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f315,plain,
    ( ~ ssList(sk3)
    | nil = sk3 ),
    inference(duplicate_literal_removal,[],[f310]) ).

fof(f310,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | nil = sk3 ),
    inference(resolution,[],[f82,f241]) ).

fof(f241,plain,
    ( rearsegP(nil,sk3)
    | nil = sk3 ),
    inference(duplicate_literal_removal,[],[f240]) ).

fof(f240,plain,
    ( rearsegP(nil,sk3)
    | nil = sk3
    | nil = sk3 ),
    inference(superposition,[],[f237,f233]) ).

fof(f233,plain,
    ( nil = sk2
    | nil = sk3 ),
    inference(forward_demodulation,[],[f192,f191]) ).

fof(f192,axiom,
    ( nil = sk1
    | nil = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f237,plain,
    ( rearsegP(sk2,sk3)
    | nil = sk3 ),
    inference(forward_demodulation,[],[f199,f190]) ).

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

fof(f199,axiom,
    ( nil = sk3
    | rearsegP(sk4,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f82,axiom,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f234,plain,
    ( neq(sk3,nil)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f196,f190]) ).

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

fof(f324,plain,
    nil != sk2,
    inference(trivial_inequality_removal,[],[f319]) ).

fof(f319,plain,
    ( nil != nil
    | nil != sk2 ),
    inference(backward_demodulation,[],[f232,f316]) ).

fof(f232,plain,
    ( nil != sk3
    | nil != sk2 ),
    inference(forward_demodulation,[],[f195,f191]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC028-1 : TPTP v8.2.0. Released v2.4.0.
% 0.13/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 03:09:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (19417)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.37  % (19420)WARNING: value z3 for option sas not known
% 0.19/0.37  % (19423)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)
% 0.19/0.37  % (19419)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.37  % (19418)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.37  % (19421)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.37  % (19422)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  % (19420)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)
% 0.19/0.37  % (19424)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)
% 0.19/0.38  % (19423)First to succeed.
% 0.19/0.38  % (19423)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19417"
% 0.19/0.38  % (19423)Refutation found. Thanks to Tanya!
% 0.19/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.38  % (19423)------------------------------
% 0.19/0.38  % (19423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.38  % (19423)Termination reason: Refutation
% 0.19/0.38  
% 0.19/0.38  % (19423)Memory used [KB]: 1141
% 0.19/0.38  % (19423)Time elapsed: 0.012 s
% 0.19/0.38  % (19423)Instructions burned: 19 (million)
% 0.19/0.38  % (19417)Success in time 0.034 s
%------------------------------------------------------------------------------