TSTP Solution File: SWC276-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC276-1 : 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 : n004.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 18:40:04 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (   6 unt;   0 def)
%            Number of atoms       :   42 (   8 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  17   ~;  16   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    1 (   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f265,plain,
    $false,
    inference(avatar_sat_refutation,[],[f234,f235,f258,f264]) ).

fof(f264,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f263]) ).

fof(f263,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f261,f4]) ).

fof(f4,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f261,plain,
    ( ~ totalorderedP(nil)
    | ~ spl0_5 ),
    inference(backward_demodulation,[],[f199,f233]) ).

fof(f233,plain,
    ( nil = sk3
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f231,plain,
    ( spl0_5
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f199,plain,
    ~ totalorderedP(sk3),
    inference(definition_unfolding,[],[f192,f191]) ).

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

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

fof(f258,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f257]) ).

fof(f257,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f256,f199]) ).

fof(f256,plain,
    ( totalorderedP(sk3)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f253,f219]) ).

fof(f219,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f217,plain,
    ( spl0_2
  <=> sk3 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f253,plain,
    ( totalorderedP(cons(sk5,nil))
    | ~ spl0_4 ),
    inference(resolution,[],[f67,f229]) ).

fof(f229,plain,
    ( ssItem(sk5)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f227,plain,
    ( spl0_4
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f67,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | totalorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f235,plain,
    ( spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f197,f217,f231]) ).

fof(f197,axiom,
    ( sk3 = cons(sk5,nil)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f234,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f194,f231,f227]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC276-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 18:38:34 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.50  % (27467)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50  % (27475)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (27475)Instruction limit reached!
% 0.20/0.51  % (27475)------------------------------
% 0.20/0.51  % (27475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (27460)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.51  % (27483)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.51  % (27475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (27475)Termination reason: Unknown
% 0.20/0.51  % (27475)Termination phase: Property scanning
% 0.20/0.51  
% 0.20/0.51  % (27475)Memory used [KB]: 1535
% 0.20/0.51  % (27475)Time elapsed: 0.003 s
% 0.20/0.51  % (27475)Instructions burned: 2 (million)
% 0.20/0.51  % (27475)------------------------------
% 0.20/0.51  % (27475)------------------------------
% 0.20/0.51  % (27471)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)
% 0.20/0.52  % (27466)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)
% 0.20/0.52  % (27469)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)
% 0.20/0.52  % (27467)Instruction limit reached!
% 0.20/0.52  % (27467)------------------------------
% 0.20/0.52  % (27467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (27467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (27467)Termination reason: Unknown
% 0.20/0.52  % (27467)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (27467)Memory used [KB]: 1535
% 0.20/0.52  % (27467)Time elapsed: 0.005 s
% 0.20/0.52  % (27467)Instructions burned: 4 (million)
% 0.20/0.52  % (27467)------------------------------
% 0.20/0.52  % (27467)------------------------------
% 0.20/0.52  % (27471)Instruction limit reached!
% 0.20/0.52  % (27471)------------------------------
% 0.20/0.52  % (27471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (27471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (27471)Termination reason: Unknown
% 0.20/0.52  % (27471)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (27471)Memory used [KB]: 6012
% 0.20/0.52  % (27471)Time elapsed: 0.006 s
% 0.20/0.52  % (27471)Instructions burned: 5 (million)
% 0.20/0.52  % (27471)------------------------------
% 0.20/0.52  % (27471)------------------------------
% 0.20/0.52  % (27483)First to succeed.
% 0.20/0.52  % (27487)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)
% 0.20/0.52  % (27483)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (27483)------------------------------
% 0.20/0.52  % (27483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (27483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (27483)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (27483)Memory used [KB]: 6012
% 0.20/0.52  % (27483)Time elapsed: 0.121 s
% 0.20/0.52  % (27483)Instructions burned: 4 (million)
% 0.20/0.52  % (27483)------------------------------
% 0.20/0.52  % (27483)------------------------------
% 0.20/0.52  % (27458)Success in time 0.17 s
%------------------------------------------------------------------------------