TSTP Solution File: SYN224-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN224-1 : 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 : n010.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 19:37:14 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   31 (   7 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   52 (  24   ~;  22   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   7 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1658,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1059,f1267,f1306,f1480,f1575,f1652,f1657]) ).

fof(f1657,plain,
    ( ~ spl0_251
    | ~ spl0_270 ),
    inference(avatar_contradiction_clause,[],[f1656]) ).

fof(f1656,plain,
    ( $false
    | ~ spl0_251
    | ~ spl0_270 ),
    inference(subsumption_resolution,[],[f1655,f1400]) ).

fof(f1400,plain,
    ( n2(a)
    | ~ spl0_251 ),
    inference(avatar_component_clause,[],[f1398]) ).

fof(f1398,plain,
    ( spl0_251
  <=> n2(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f1655,plain,
    ( ~ n2(a)
    | ~ spl0_270 ),
    inference(resolution,[],[f1479,f369]) ).

fof(f369,axiom,
    ! [X0] : ~ l3(a,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f1479,plain,
    ( ! [X6] :
        ( l3(X6,X6)
        | ~ n2(X6) )
    | ~ spl0_270 ),
    inference(avatar_component_clause,[],[f1478]) ).

fof(f1478,plain,
    ( spl0_270
  <=> ! [X6] :
        ( ~ n2(X6)
        | l3(X6,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f1652,plain,
    ( spl0_251
    | ~ spl0_229 ),
    inference(avatar_split_clause,[],[f1640,f1303,f1398]) ).

fof(f1303,plain,
    ( spl0_229
  <=> p1(a,a,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f1640,plain,
    ( n2(a)
    | ~ spl0_229 ),
    inference(resolution,[],[f175,f1305]) ).

fof(f1305,plain,
    ( p1(a,a,a)
    | ~ spl0_229 ),
    inference(avatar_component_clause,[],[f1303]) ).

fof(f175,axiom,
    ! [X10,X11,X6] :
      ( ~ p1(X11,X6,X10)
      | n2(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).

fof(f1575,plain,
    spl0_219,
    inference(avatar_contradiction_clause,[],[f1574]) ).

fof(f1574,plain,
    ( $false
    | spl0_219 ),
    inference(subsumption_resolution,[],[f1549,f1266]) ).

fof(f1266,plain,
    ( ~ k1(b)
    | spl0_219 ),
    inference(avatar_component_clause,[],[f1264]) ).

fof(f1264,plain,
    ( spl0_219
  <=> k1(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f1549,plain,
    k1(b),
    inference(resolution,[],[f39,f15]) ).

fof(f15,axiom,
    n0(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( ~ n0(X3,X2)
      | k1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).

fof(f1480,plain,
    ( ~ spl0_134
    | spl0_270 ),
    inference(avatar_split_clause,[],[f255,f1478,f910]) ).

fof(f910,plain,
    ( spl0_134
  <=> m2(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f255,axiom,
    ! [X6] :
      ( ~ n2(X6)
      | l3(X6,X6)
      | ~ m2(b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_217) ).

fof(f1306,plain,
    ( spl0_229
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f126,f489,f1303]) ).

fof(f489,plain,
    ( spl0_31
  <=> l0(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f126,axiom,
    ( ~ l0(a)
    | p1(a,a,a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_088) ).

fof(f1267,plain,
    ( spl0_134
    | ~ spl0_219 ),
    inference(avatar_split_clause,[],[f174,f1264,f910]) ).

fof(f174,axiom,
    ( ~ k1(b)
    | m2(b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_136) ).

fof(f1059,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f20,f489]) ).

fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN224-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n010.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 21:30:59 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (17809)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (17817)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51  % (17803)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (17803)Instruction limit reached!
% 0.19/0.52  % (17803)------------------------------
% 0.19/0.52  % (17803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (17803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (17803)Termination reason: Unknown
% 0.19/0.52  % (17803)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (17803)Memory used [KB]: 6396
% 0.19/0.52  % (17803)Time elapsed: 0.005 s
% 0.19/0.52  % (17803)Instructions burned: 8 (million)
% 0.19/0.52  % (17803)------------------------------
% 0.19/0.52  % (17803)------------------------------
% 0.19/0.52  % (17806)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (17809)First to succeed.
% 0.19/0.52  % (17796)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52  % (17809)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  % (17809)------------------------------
% 0.19/0.52  % (17809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (17809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (17809)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (17809)Memory used [KB]: 6652
% 0.19/0.52  % (17809)Time elapsed: 0.090 s
% 0.19/0.52  % (17809)Instructions burned: 18 (million)
% 0.19/0.52  % (17809)------------------------------
% 0.19/0.52  % (17809)------------------------------
% 0.19/0.52  % (17795)Success in time 0.177 s
%------------------------------------------------------------------------------