TSTP Solution File: SWC086-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC086-1 : 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 : n023.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 18:38:42 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   42 (  10 unt;   0 def)
%            Number of atoms       :   84 (  14 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   83 (  41   ~;  38   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f291,plain,
    $false,
    inference(avatar_sat_refutation,[],[f224,f233,f247,f264,f290]) ).

fof(f290,plain,
    ( ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f289]) ).

fof(f289,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f288,f270]) ).

fof(f270,plain,
    segmentP(sk1,sk1),
    inference(unit_resulting_resolution,[],[f186,f57]) ).

fof(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

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

fof(f288,plain,
    ( ~ segmentP(sk1,sk1)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(unit_resulting_resolution,[],[f186,f232,f217,f193]) ).

fof(f193,axiom,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f217,plain,
    ( neq(sk1,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl0_3
  <=> neq(sk1,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f232,plain,
    ( segmentP(sk2,sk1)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl0_5
  <=> segmentP(sk2,sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f264,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f263]) ).

fof(f263,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f251,f255]) ).

fof(f255,plain,
    ( ~ neq(nil,nil)
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f242,f249]) ).

fof(f249,plain,
    ( nil = sk2
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f190,f205]) ).

fof(f205,plain,
    ( nil = sk4
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f203,plain,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f242,plain,
    ~ neq(sk2,sk2),
    inference(unit_resulting_resolution,[],[f187,f201]) ).

fof(f201,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f198]) ).

fof(f198,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | X0 != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

fof(f251,plain,
    ( neq(nil,nil)
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f192,f249]) ).

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

fof(f247,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f246]) ).

fof(f246,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f243,f8]) ).

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

fof(f243,plain,
    ( ~ ssList(nil)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(unit_resulting_resolution,[],[f234,f201]) ).

fof(f234,plain,
    ( neq(nil,nil)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f217,f221]) ).

fof(f221,plain,
    ( nil = sk1
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl0_4
  <=> nil = sk1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f233,plain,
    ( spl0_5
    | spl0_4 ),
    inference(avatar_split_clause,[],[f228,f219,f230]) ).

fof(f228,plain,
    ( nil = sk1
    | segmentP(sk2,sk1) ),
    inference(forward_demodulation,[],[f227,f190]) ).

fof(f227,plain,
    ( nil = sk1
    | segmentP(sk4,sk1) ),
    inference(forward_demodulation,[],[f226,f191]) ).

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

fof(f226,plain,
    ( segmentP(sk4,sk3)
    | nil = sk1 ),
    inference(forward_demodulation,[],[f197,f191]) ).

fof(f197,axiom,
    ( nil = sk3
    | segmentP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f224,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f223,f215,f203]) ).

fof(f223,plain,
    ( neq(sk1,nil)
    | nil = sk4 ),
    inference(forward_demodulation,[],[f194,f191]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWC086-1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13  % 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 : n023.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 18:31:50 EDT 2022
% 0.20/0.35  % CPUTime    : 
% 0.20/0.47  % (22461)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)
% 0.20/0.47  % (22461)Instruction limit reached!
% 0.20/0.47  % (22461)------------------------------
% 0.20/0.47  % (22461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (22461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (22461)Termination reason: Unknown
% 0.20/0.47  % (22461)Termination phase: Finite model building preprocessing
% 0.20/0.47  
% 0.20/0.47  % (22461)Memory used [KB]: 1535
% 0.20/0.47  % (22461)Time elapsed: 0.006 s
% 0.20/0.47  % (22461)Instructions burned: 7 (million)
% 0.20/0.47  % (22461)------------------------------
% 0.20/0.47  % (22461)------------------------------
% 0.20/0.48  % (22469)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)
% 0.20/0.52  % (22448)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.52  % (22469)Instruction limit reached!
% 0.20/0.52  % (22469)------------------------------
% 0.20/0.52  % (22469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (22469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (22469)Termination reason: Unknown
% 0.20/0.52  % (22469)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (22469)Memory used [KB]: 6780
% 0.20/0.52  % (22469)Time elapsed: 0.107 s
% 0.20/0.52  % (22469)Instructions burned: 37 (million)
% 0.20/0.52  % (22469)------------------------------
% 0.20/0.52  % (22469)------------------------------
% 0.20/0.53  % (22450)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.53  % (22447)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)
% 0.20/0.53  % (22451)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (22450)First to succeed.
% 0.20/0.54  % (22450)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (22450)------------------------------
% 0.20/0.54  % (22450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (22450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (22450)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (22450)Memory used [KB]: 6012
% 0.20/0.54  % (22450)Time elapsed: 0.125 s
% 0.20/0.54  % (22450)Instructions burned: 6 (million)
% 0.20/0.54  % (22450)------------------------------
% 0.20/0.54  % (22450)------------------------------
% 0.20/0.54  % (22445)Success in time 0.181 s
%------------------------------------------------------------------------------