TSTP Solution File: SWC027-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC027-1 : 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 0.14s 0.33s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   30 (   9 unt;   0 def)
%            Number of atoms       :   61 (  40 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   58 (  27   ~;  31   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f446,plain,
    $false,
    inference(trivial_inequality_removal,[],[f445]) ).

fof(f445,plain,
    nil != nil,
    inference(superposition,[],[f444,f429]) ).

fof(f429,plain,
    nil = sk2,
    inference(backward_demodulation,[],[f190,f428]) ).

fof(f428,plain,
    nil = sk4,
    inference(resolution,[],[f425,f8]) ).

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

fof(f425,plain,
    ( ~ ssList(nil)
    | nil = sk4 ),
    inference(duplicate_literal_removal,[],[f423]) ).

fof(f423,plain,
    ( ~ ssList(nil)
    | nil = sk4
    | nil = sk4 ),
    inference(resolution,[],[f421,f192]) ).

fof(f192,axiom,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f421,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(nil)
    | nil = sk4 ),
    inference(trivial_inequality_removal,[],[f420]) ).

fof(f420,plain,
    ( nil != nil
    | ~ ssList(nil)
    | ~ ssItem(sk5)
    | nil = sk4 ),
    inference(duplicate_literal_removal,[],[f419]) ).

fof(f419,plain,
    ( nil != nil
    | ~ ssList(nil)
    | ~ ssItem(sk5)
    | nil = sk4
    | nil = sk4 ),
    inference(superposition,[],[f418,f238]) ).

fof(f238,plain,
    ( nil = sk3
    | nil = sk4 ),
    inference(superposition,[],[f237,f190]) ).

fof(f237,plain,
    ( nil = sk2
    | nil = sk3 ),
    inference(forward_demodulation,[],[f200,f191]) ).

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

fof(f200,axiom,
    ( nil = sk1
    | nil = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f418,plain,
    ( nil != sk3
    | ~ ssList(nil)
    | ~ ssItem(sk5)
    | nil = sk4 ),
    inference(superposition,[],[f98,f194]) ).

fof(f194,axiom,
    ( sk3 = cons(sk5,nil)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

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

fof(f444,plain,
    nil != sk2,
    inference(trivial_inequality_removal,[],[f441]) ).

fof(f441,plain,
    ( nil != nil
    | nil != sk2 ),
    inference(backward_demodulation,[],[f236,f438]) ).

fof(f438,plain,
    nil = sk3,
    inference(duplicate_literal_removal,[],[f436]) ).

fof(f436,plain,
    ( nil = sk3
    | nil = sk3 ),
    inference(resolution,[],[f435,f193]) ).

fof(f193,axiom,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f435,plain,
    ( ~ ssItem(sk5)
    | nil = sk3 ),
    inference(resolution,[],[f430,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f430,plain,
    ( memberP(nil,sk5)
    | nil = sk3 ),
    inference(backward_demodulation,[],[f198,f428]) ).

fof(f198,axiom,
    ( memberP(sk4,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f236,plain,
    ( nil != sk3
    | nil != sk2 ),
    inference(forward_demodulation,[],[f203,f191]) ).

fof(f203,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWC027-1 : TPTP v8.2.0. Released v2.4.0.
% 0.00/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.29  % Computer : n029.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Sun May 19 03:07:08 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  % (9235)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.32  % (9240)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)
% 0.14/0.32  % (9236)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.32  % (9238)WARNING: value z3 for option sas not known
% 0.14/0.32  % (9239)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.32  % (9241)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)
% 0.14/0.32  % (9242)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)
% 0.14/0.32  % (9237)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.32  % (9238)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)
% 0.14/0.33  TRYING [1]
% 0.14/0.33  TRYING [2]
% 0.14/0.33  % (9241)First to succeed.
% 0.14/0.33  % (9238)Also succeeded, but the first one will report.
% 0.14/0.33  % (9241)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9235"
% 0.14/0.33  % (9241)Refutation found. Thanks to Tanya!
% 0.14/0.33  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.33  % (9241)------------------------------
% 0.14/0.33  % (9241)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.33  % (9241)Termination reason: Refutation
% 0.14/0.33  
% 0.14/0.33  % (9241)Memory used [KB]: 1147
% 0.14/0.33  % (9241)Time elapsed: 0.013 s
% 0.14/0.33  % (9241)Instructions burned: 23 (million)
% 0.14/0.33  % (9235)Success in time 0.032 s
%------------------------------------------------------------------------------