TSTP Solution File: SWC207-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC207-1 : 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 18:39:36 EDT 2022

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   39 (  10 unt;   0 def)
%            Number of atoms       :   83 (  18 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   87 (  43   ~;  40   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f291,plain,
    $false,
    inference(avatar_sat_refutation,[],[f230,f231,f245,f270,f290]) ).

fof(f290,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f289]) ).

fof(f289,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f288,f8]) ).

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

fof(f288,plain,
    ( ~ ssList(nil)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f287,f219]) ).

fof(f219,plain,
    ( nil != sk3
    | spl0_2 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f218,plain,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f287,plain,
    ( nil = sk3
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f275,f188]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).

fof(f275,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ ssList(nil) ),
    inference(resolution,[],[f204,f100]) ).

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

fof(f204,plain,
    ~ neq(sk3,nil),
    inference(definition_unfolding,[],[f193,f191]) ).

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

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

fof(f270,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f269]) ).

fof(f269,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f268,f225]) ).

fof(f225,plain,
    ( ssItem(sk5)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f223,plain,
    ( spl0_3
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f268,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f263,f8]) ).

fof(f263,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f253]) ).

fof(f253,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(nil)
    | nil != nil
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f98,f247]) ).

fof(f247,plain,
    ( nil = cons(sk5,nil)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f216,f220]) ).

fof(f220,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f216,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl0_1
  <=> sk3 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f245,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f244]) ).

fof(f244,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f243,f239]) ).

fof(f239,plain,
    ( neq(nil,nil)
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f203,f229]) ).

fof(f229,plain,
    ( nil = sk4
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f227,plain,
    ( spl0_4
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f203,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

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

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

fof(f243,plain,
    ( ~ neq(nil,nil)
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f204,f220]) ).

fof(f231,plain,
    ( spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f196,f214,f227]) ).

fof(f196,axiom,
    ( sk3 = cons(sk5,nil)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f230,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f194,f227,f223]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC207-1 : 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
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 18:38:10 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.52  % (14435)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (14427)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)
% 0.19/0.53  % (14417)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53  % (14436)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)
% 0.19/0.53  % (14419)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)
% 0.19/0.53  % (14425)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (14427)Instruction limit reached!
% 0.19/0.53  % (14427)------------------------------
% 0.19/0.53  % (14427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (14427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (14427)Termination reason: Unknown
% 0.19/0.53  % (14427)Termination phase: Finite model building preprocessing
% 0.19/0.53  
% 0.19/0.53  % (14427)Memory used [KB]: 1535
% 0.19/0.53  % (14427)Time elapsed: 0.007 s
% 0.19/0.53  % (14427)Instructions burned: 6 (million)
% 0.19/0.53  % (14427)------------------------------
% 0.19/0.53  % (14427)------------------------------
% 0.19/0.53  % (14425)Instruction limit reached!
% 0.19/0.53  % (14425)------------------------------
% 0.19/0.53  % (14425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (14421)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (14423)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.54  % (14419)First to succeed.
% 0.19/0.54  % (14434)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.54  % (14417)Also succeeded, but the first one will report.
% 0.19/0.54  % (14428)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)
% 0.19/0.54  % (14419)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (14419)------------------------------
% 0.19/0.54  % (14419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (14419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (14419)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (14419)Memory used [KB]: 6012
% 0.19/0.54  % (14419)Time elapsed: 0.079 s
% 0.19/0.54  % (14419)Instructions burned: 5 (million)
% 0.19/0.54  % (14419)------------------------------
% 0.19/0.54  % (14419)------------------------------
% 0.19/0.54  % (14411)Success in time 0.189 s
%------------------------------------------------------------------------------