TSTP Solution File: SWC287-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC287-1 : 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 18:40:09 EDT 2022

% Result   : Unsatisfiable 0.15s 0.48s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (   7 unt;   0 def)
%            Number of atoms       :   53 (   9 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   52 (  25   ~;  24   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f285,plain,
    $false,
    inference(avatar_sat_refutation,[],[f226,f231,f240,f279]) ).

fof(f279,plain,
    ( ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f278]) ).

fof(f278,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f277,f203]) ).

fof(f203,plain,
    ~ strictorderedP(sk3),
    inference(definition_unfolding,[],[f192,f191]) ).

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

fof(f192,axiom,
    ~ strictorderedP(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f277,plain,
    ( strictorderedP(sk3)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f276,f221]) ).

fof(f221,plain,
    ( ssItem(sk5)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl0_3
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f276,plain,
    ( ~ ssItem(sk5)
    | strictorderedP(sk3)
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f247,f8]) ).

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

fof(f247,plain,
    ( ~ ssList(nil)
    | strictorderedP(sk3)
    | ~ ssItem(sk5)
    | ~ spl0_5 ),
    inference(superposition,[],[f207,f230]) ).

fof(f230,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl0_5
  <=> sk3 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f207,plain,
    ! [X1] :
      ( strictorderedP(cons(X1,nil))
      | ~ ssList(nil)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f112]) ).

fof(f112,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | nil != X0
      | strictorderedP(cons(X1,X0))
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f240,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f239]) ).

fof(f239,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f237,f3]) ).

fof(f3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f237,plain,
    ( ~ strictorderedP(nil)
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f203,f225]) ).

fof(f225,plain,
    ( nil = sk3
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f223,plain,
    ( spl0_4
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f231,plain,
    ( spl0_5
    | spl0_4 ),
    inference(avatar_split_clause,[],[f198,f223,f228]) ).

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

fof(f226,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f194,f223,f219]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SWC287-1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.31  % Computer : n008.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit   : 300
% 0.09/0.31  % WCLimit    : 300
% 0.09/0.31  % DateTime   : Tue Aug 30 18:47:10 EDT 2022
% 0.15/0.31  % CPUTime    : 
% 0.15/0.46  % (26439)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.15/0.46  % (26434)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.47  % (26437)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)
% 0.15/0.48  % (26455)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.15/0.48  % (26442)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.48  % (26445)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)
% 0.15/0.48  % (26439)Instruction limit reached!
% 0.15/0.48  % (26439)------------------------------
% 0.15/0.48  % (26439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (26439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (26439)Termination reason: Unknown
% 0.15/0.48  % (26439)Termination phase: Saturation
% 0.15/0.48  
% 0.15/0.48  % (26439)Memory used [KB]: 6012
% 0.15/0.48  % (26439)Time elapsed: 0.005 s
% 0.15/0.48  % (26439)Instructions burned: 5 (million)
% 0.15/0.48  % (26439)------------------------------
% 0.15/0.48  % (26439)------------------------------
% 0.15/0.48  % (26434)First to succeed.
% 0.15/0.48  % (26447)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.48  % (26437)Instruction limit reached!
% 0.15/0.48  % (26437)------------------------------
% 0.15/0.48  % (26437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (26434)Refutation found. Thanks to Tanya!
% 0.15/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48  % (26434)------------------------------
% 0.15/0.48  % (26434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (26434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (26434)Termination reason: Refutation
% 0.15/0.48  
% 0.15/0.48  % (26434)Memory used [KB]: 6012
% 0.15/0.48  % (26434)Time elapsed: 0.106 s
% 0.15/0.48  % (26434)Instructions burned: 5 (million)
% 0.15/0.48  % (26434)------------------------------
% 0.15/0.48  % (26434)------------------------------
% 0.15/0.48  % (26426)Success in time 0.166 s
%------------------------------------------------------------------------------