TSTP Solution File: SWC206-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC206-1 : 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 : n021.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 16:10:57 EDT 2024

% Result   : Unsatisfiable 0.20s 0.40s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   42 (  13 unt;   0 def)
%            Number of atoms       :   78 (  16 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   67 (  31   ~;  32   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f540,plain,
    $false,
    inference(avatar_sat_refutation,[],[f256,f264,f515,f538]) ).

fof(f538,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f537]) ).

fof(f537,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f529,f518]) ).

fof(f518,plain,
    ( ~ neq(nil,nil)
    | ~ spl0_2 ),
    inference(superposition,[],[f193,f255]) ).

fof(f255,plain,
    ( nil = sk1
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f253,plain,
    ( spl0_2
  <=> nil = sk1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f193,axiom,
    ~ neq(sk1,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f529,plain,
    ( neq(nil,nil)
    | ~ spl0_2 ),
    inference(superposition,[],[f241,f527]) ).

fof(f527,plain,
    ( nil = sk5
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f526,f238]) ).

fof(f238,plain,
    ssList(sk5),
    inference(subsumption_resolution,[],[f237,f192]) ).

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

fof(f237,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk5) ),
    inference(forward_demodulation,[],[f195,f190]) ).

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

fof(f195,axiom,
    ( ssList(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f526,plain,
    ( ~ ssList(sk5)
    | nil = sk5
    | ~ spl0_2 ),
    inference(resolution,[],[f519,f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f519,plain,
    ( segmentP(nil,sk5)
    | ~ spl0_2 ),
    inference(superposition,[],[f247,f255]) ).

fof(f247,plain,
    segmentP(sk1,sk5),
    inference(forward_demodulation,[],[f246,f191]) ).

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

fof(f246,plain,
    segmentP(sk3,sk5),
    inference(subsumption_resolution,[],[f245,f192]) ).

fof(f245,plain,
    ( ~ neq(sk2,nil)
    | segmentP(sk3,sk5) ),
    inference(forward_demodulation,[],[f198,f190]) ).

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

fof(f241,plain,
    neq(sk5,nil),
    inference(subsumption_resolution,[],[f240,f192]) ).

fof(f240,plain,
    ( ~ neq(sk2,nil)
    | neq(sk5,nil) ),
    inference(forward_demodulation,[],[f196,f190]) ).

fof(f196,axiom,
    ( ~ neq(sk4,nil)
    | neq(sk5,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f515,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f514]) ).

fof(f514,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f513,f186]) ).

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

fof(f513,plain,
    ( ~ ssList(sk1)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f512,f254]) ).

fof(f254,plain,
    ( nil != sk1
    | spl0_2 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f512,plain,
    ( nil = sk1
    | ~ ssList(sk1) ),
    inference(subsumption_resolution,[],[f507,f8]) ).

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

fof(f507,plain,
    ( ~ ssList(nil)
    | nil = sk1
    | ~ ssList(sk1) ),
    inference(resolution,[],[f100,f193]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X0)
      | X0 = X1
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f264,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f72,f262,f259]) ).

fof(f259,plain,
    ( spl0_3
  <=> ! [X1] : ssItem(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f262,plain,
    ( spl0_4
  <=> ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f72,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | duplicatefreeP(X0)
      | ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f256,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f239,f253,f249]) ).

fof(f249,plain,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f239,plain,
    ( nil = sk1
    | nil != sk4 ),
    inference(forward_demodulation,[],[f194,f191]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : SWC206-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n021.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
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 04:19:55 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (23303)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (23306)WARNING: value z3 for option sas not known
% 0.14/0.38  % (23306)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  % (23307)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (23305)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (23308)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  % (23304)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (23310)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)
% 0.14/0.38  % (23309)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)
% 0.20/0.39  TRYING [1]
% 0.20/0.39  TRYING [2]
% 0.20/0.40  % (23306)First to succeed.
% 0.20/0.40  % (23306)Refutation found. Thanks to Tanya!
% 0.20/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.40  % (23306)------------------------------
% 0.20/0.40  % (23306)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.40  % (23306)Termination reason: Refutation
% 0.20/0.40  
% 0.20/0.40  % (23306)Memory used [KB]: 1178
% 0.20/0.40  % (23306)Time elapsed: 0.017 s
% 0.20/0.40  % (23306)Instructions burned: 31 (million)
% 0.20/0.40  % (23306)------------------------------
% 0.20/0.40  % (23306)------------------------------
% 0.20/0.40  % (23303)Success in time 0.037 s
%------------------------------------------------------------------------------