TSTP Solution File: SWC027-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC027-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n008.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 : Wed Aug 31 18:38:17 EDT 2022

% Result   : Unsatisfiable 0.21s 0.57s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   40 (   5 unt;   0 def)
%            Number of atoms       :   87 (  24 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   86 (  39   ~;  41   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f856,plain,
    $false,
    inference(avatar_sat_refutation,[],[f253,f263,f268,f269,f271,f272,f646,f812,f855]) ).

fof(f855,plain,
    spl0_43,
    inference(avatar_contradiction_clause,[],[f854]) ).

fof(f854,plain,
    ( $false
    | spl0_43 ),
    inference(resolution,[],[f771,f8]) ).

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

fof(f771,plain,
    ( ~ ssList(nil)
    | spl0_43 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f769,plain,
    ( spl0_43
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f812,plain,
    ( ~ spl0_43
    | ~ spl0_6
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f767,f245,f241,f265,f769]) ).

fof(f265,plain,
    ( spl0_6
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f241,plain,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f245,plain,
    ( spl0_2
  <=> sk3 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f767,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(nil)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f736]) ).

fof(f736,plain,
    ( ~ ssList(nil)
    | nil != nil
    | ~ ssItem(sk5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f98,f389]) ).

fof(f389,plain,
    ( nil = cons(sk5,nil)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f247,f243]) ).

fof(f243,plain,
    ( nil = sk3
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f247,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f245]) ).

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

fof(f646,plain,
    ( ~ spl0_6
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f645,f259,f250,f265]) ).

fof(f250,plain,
    ( spl0_3
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f259,plain,
    ( spl0_5
  <=> memberP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f645,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(resolution,[],[f274,f71]) ).

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

fof(f274,plain,
    ( memberP(nil,sk5)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f261,f252]) ).

fof(f252,plain,
    ( nil = sk4
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f261,plain,
    ( memberP(sk4,sk5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f272,plain,
    ( ~ spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f207,f241,f250]) ).

fof(f207,plain,
    ( nil != sk3
    | nil != sk4 ),
    inference(definition_unfolding,[],[f203,f190,f191]) ).

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

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

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

fof(f271,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f193,f265,f241]) ).

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

fof(f269,plain,
    ( spl0_5
    | spl0_1 ),
    inference(avatar_split_clause,[],[f198,f241,f259]) ).

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

fof(f268,plain,
    ( spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f192,f265,f250]) ).

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

fof(f263,plain,
    ( spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f194,f245,f250]) ).

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

fof(f253,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f209,f250,f241]) ).

fof(f209,plain,
    ( nil = sk4
    | nil = sk3 ),
    inference(definition_unfolding,[],[f200,f191,f190]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC027-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 18:02:40 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.54  % (32563)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.55  % (32555)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.55  % (32555)Instruction limit reached!
% 0.21/0.55  % (32555)------------------------------
% 0.21/0.55  % (32555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (32545)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.56  % (32555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (32555)Termination reason: Unknown
% 0.21/0.56  % (32555)Termination phase: Property scanning
% 0.21/0.56  
% 0.21/0.56  % (32555)Memory used [KB]: 1535
% 0.21/0.56  % (32555)Time elapsed: 0.006 s
% 0.21/0.56  % (32555)Instructions burned: 7 (million)
% 0.21/0.56  % (32555)------------------------------
% 0.21/0.56  % (32555)------------------------------
% 0.21/0.57  % (32562)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.57  % (32563)First to succeed.
% 0.21/0.57  % (32570)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.57  % (32563)Refutation found. Thanks to Tanya!
% 0.21/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57  % (32563)------------------------------
% 0.21/0.57  % (32563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (32563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (32563)Termination reason: Refutation
% 0.21/0.57  
% 0.21/0.57  % (32563)Memory used [KB]: 11001
% 0.21/0.57  % (32563)Time elapsed: 0.143 s
% 0.21/0.57  % (32563)Instructions burned: 24 (million)
% 0.21/0.57  % (32563)------------------------------
% 0.21/0.57  % (32563)------------------------------
% 0.21/0.57  % (32544)Success in time 0.221 s
%------------------------------------------------------------------------------