TSTP Solution File: SYN208-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN208-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n009.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 19:37:11 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   36 (  13 unt;   0 def)
%            Number of atoms       :   68 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   63 (  31   ~;  26   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   7 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2089,plain,
    $false,
    inference(avatar_sat_refutation,[],[f501,f921,f1155,f1731,f1733,f1740,f2088]) ).

fof(f2088,plain,
    ~ spl0_161,
    inference(avatar_split_clause,[],[f2086,f1017]) ).

fof(f1017,plain,
    ( spl0_161
  <=> s2(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2086,plain,
    ~ s2(d),
    inference(resolution,[],[f2069,f369]) ).

fof(f369,axiom,
    ~ s3(d,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f2069,plain,
    ! [X0,X1] :
      ( s3(X0,X1)
      | ~ s2(X0) ),
    inference(resolution,[],[f2043,f19]) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

fof(f2043,plain,
    ! [X2,X0,X1] :
      ( ~ m0(X0,X2,X1)
      | s3(X0,X1)
      | ~ s2(X0) ),
    inference(resolution,[],[f2031,f311]) ).

fof(f311,axiom,
    ! [X2,X3,X10,X11] :
      ( ~ q2(X10,X2,X10)
      | s3(X2,X3)
      | ~ s2(X2)
      | ~ m0(X10,X11,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_273) ).

fof(f2031,plain,
    ! [X2] : q2(X2,X2,X2),
    inference(resolution,[],[f2016,f219]) ).

fof(f219,axiom,
    ! [X2] :
      ( ~ p1(X2,X2,X2)
      | q2(X2,X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_181) ).

fof(f2016,plain,
    ! [X0] : p1(X0,X0,X0),
    inference(resolution,[],[f123,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f123,axiom,
    ! [X11,X6] :
      ( ~ p0(X6,X11)
      | p1(X11,X11,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).

fof(f1740,plain,
    ( spl0_194
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1737,f919,f1152]) ).

fof(f1152,plain,
    ( spl0_194
  <=> s1(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f919,plain,
    ( spl0_137
  <=> ! [X4,X9] :
        ( ~ q0(X9,X4)
        | s1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1737,plain,
    ( s1(a)
    | ~ spl0_137 ),
    inference(resolution,[],[f920,f36]) ).

fof(f36,axiom,
    q0(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).

fof(f920,plain,
    ( ! [X9,X4] :
        ( ~ q0(X9,X4)
        | s1(X9) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f1733,plain,
    ( ~ spl0_136
    | ~ spl0_284 ),
    inference(avatar_contradiction_clause,[],[f1732]) ).

fof(f1732,plain,
    ( $false
    | ~ spl0_136
    | ~ spl0_284 ),
    inference(resolution,[],[f1527,f917]) ).

fof(f917,plain,
    ( ! [X5] : ~ s1(X5)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f916,plain,
    ( spl0_136
  <=> ! [X5] : ~ s1(X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1527,plain,
    ( s1(b)
    | ~ spl0_284 ),
    inference(avatar_component_clause,[],[f1526]) ).

fof(f1526,plain,
    ( spl0_284
  <=> s1(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f1731,plain,
    spl0_284,
    inference(avatar_split_clause,[],[f1730,f1526]) ).

fof(f1730,plain,
    s1(b),
    inference(resolution,[],[f163,f14]) ).

fof(f163,axiom,
    ! [X2] :
      ( ~ p0(X2,X2)
      | s1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).

fof(f1155,plain,
    ( ~ spl0_194
    | spl0_161
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f228,f392,f1017,f1152]) ).

fof(f392,plain,
    ( spl0_6
  <=> s0(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f228,axiom,
    ( ~ s0(d)
    | s2(d)
    | ~ s1(a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_190) ).

fof(f921,plain,
    ( spl0_136
    | spl0_137 ),
    inference(avatar_split_clause,[],[f164,f919,f916]) ).

fof(f164,axiom,
    ! [X9,X4,X5] :
      ( ~ q0(X9,X4)
      | ~ s1(X5)
      | s1(X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).

fof(f501,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f1,f392]) ).

fof(f1,axiom,
    s0(d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : SYN208-1 : TPTP v8.1.0. Released v1.1.0.
% 0.02/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33  % Computer : n009.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 21:34:35 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.19/0.48  % (16179)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.49  % (16176)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50  % (16159)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (16157)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (16152)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51  % (16156)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (16167)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51  % (16179)First to succeed.
% 0.19/0.51  % (16153)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (16179)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (16179)------------------------------
% 0.19/0.52  % (16179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (16179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (16179)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (16179)Memory used [KB]: 6908
% 0.19/0.52  % (16179)Time elapsed: 0.080 s
% 0.19/0.52  % (16179)Instructions burned: 32 (million)
% 0.19/0.52  % (16179)------------------------------
% 0.19/0.52  % (16179)------------------------------
% 0.19/0.52  % (16149)Success in time 0.18 s
%------------------------------------------------------------------------------