TSTP Solution File: SYN210-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN210-1 : 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 : n028.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 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   49 (   9 unt;   0 def)
%            Number of atoms       :  102 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  102 (  49   ~;  43   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   19 (  18 usr;  10 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2650,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1342,f1566,f1612,f2243,f2418,f2427,f2613,f2615,f2649]) ).

fof(f2649,plain,
    ~ spl113_364,
    inference(avatar_contradiction_clause,[],[f2648]) ).

fof(f2648,plain,
    ( $false
    | ~ spl113_364 ),
    inference(resolution,[],[f2417,f369]) ).

fof(f369,axiom,
    ~ s4(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f2417,plain,
    ( s4(c)
    | ~ spl113_364 ),
    inference(avatar_component_clause,[],[f2415]) ).

fof(f2415,plain,
    ( spl113_364
  <=> s4(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl113_364])]) ).

fof(f2615,plain,
    ~ spl113_232,
    inference(avatar_contradiction_clause,[],[f2614]) ).

fof(f2614,plain,
    ( $false
    | ~ spl113_232 ),
    inference(resolution,[],[f1565,f19]) ).

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

fof(f1565,plain,
    ( ! [X11,X6] : ~ m0(X11,X6,b)
    | ~ spl113_232 ),
    inference(avatar_component_clause,[],[f1564]) ).

fof(f1564,plain,
    ( spl113_232
  <=> ! [X6,X11] : ~ m0(X11,X6,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl113_232])]) ).

fof(f2613,plain,
    ( ~ spl113_10
    | spl113_70
    | ~ spl113_179 ),
    inference(avatar_split_clause,[],[f2610,f1336,f881,f633]) ).

fof(f633,plain,
    ( spl113_10
  <=> l0(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl113_10])]) ).

fof(f881,plain,
    ( spl113_70
  <=> n2(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl113_70])]) ).

fof(f1336,plain,
    ( spl113_179
  <=> ! [X10] :
        ( p1(X10,X10,X10)
        | ~ l0(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl113_179])]) ).

fof(f2610,plain,
    ( ~ l0(c)
    | spl113_70
    | ~ spl113_179 ),
    inference(resolution,[],[f2317,f882]) ).

fof(f882,plain,
    ( ~ n2(c)
    | spl113_70 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f2317,plain,
    ( ! [X0] :
        ( n2(X0)
        | ~ l0(X0) )
    | ~ spl113_179 ),
    inference(resolution,[],[f1337,f175]) ).

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

fof(f1337,plain,
    ( ! [X10] :
        ( p1(X10,X10,X10)
        | ~ l0(X10) )
    | ~ spl113_179 ),
    inference(avatar_component_clause,[],[f1336]) ).

fof(f2427,plain,
    ( ~ spl113_70
    | ~ spl113_363 ),
    inference(avatar_split_clause,[],[f2426,f2411,f881]) ).

fof(f2411,plain,
    ( spl113_363
  <=> sP6(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl113_363])]) ).

fof(f2426,plain,
    ( ~ n2(c)
    | ~ spl113_363 ),
    inference(resolution,[],[f2413,f2260]) ).

fof(f2260,plain,
    ! [X0] :
      ( ~ sP6(X0)
      | ~ n2(X0) ),
    inference(resolution,[],[f383,f282]) ).

fof(f282,axiom,
    ! [X5] :
      ( p3(X5,X5,X5)
      | ~ n2(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_244) ).

fof(f383,plain,
    ! [X11,X6,X7] :
      ( ~ p3(X11,X6,X7)
      | ~ sP6(X6) ),
    inference(general_splitting,[],[f337,f382_D]) ).

fof(f382,plain,
    ! [X10,X6] :
      ( ~ l1(X10,X6)
      | s4(X10)
      | sP6(X6) ),
    inference(cnf_transformation,[],[f382_D]) ).

fof(f382_D,plain,
    ! [X6] :
      ( ! [X10] :
          ( ~ l1(X10,X6)
          | s4(X10) )
    <=> ~ sP6(X6) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).

fof(f337,axiom,
    ! [X10,X11,X6,X7] :
      ( ~ p3(X11,X6,X7)
      | ~ l1(X10,X6)
      | s4(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_299) ).

fof(f2413,plain,
    ( sP6(c)
    | ~ spl113_363 ),
    inference(avatar_component_clause,[],[f2411]) ).

fof(f2418,plain,
    ( spl113_363
    | spl113_364
    | ~ spl113_269 ),
    inference(avatar_split_clause,[],[f2409,f1724,f2415,f2411]) ).

fof(f1724,plain,
    ( spl113_269
  <=> l1(c,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl113_269])]) ).

fof(f2409,plain,
    ( s4(c)
    | sP6(c)
    | ~ spl113_269 ),
    inference(resolution,[],[f382,f1725]) ).

fof(f1725,plain,
    ( l1(c,c)
    | ~ spl113_269 ),
    inference(avatar_component_clause,[],[f1724]) ).

fof(f2243,plain,
    spl113_269,
    inference(avatar_contradiction_clause,[],[f2242]) ).

fof(f2242,plain,
    ( $false
    | spl113_269 ),
    inference(resolution,[],[f2233,f26]) ).

fof(f26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).

fof(f2233,plain,
    ( ! [X0] : ~ n0(X0,c)
    | spl113_269 ),
    inference(resolution,[],[f1726,f40]) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( l1(X4,X4)
      | ~ n0(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).

fof(f1726,plain,
    ( ~ l1(c,c)
    | spl113_269 ),
    inference(avatar_component_clause,[],[f1724]) ).

fof(f1612,plain,
    spl113_10,
    inference(avatar_split_clause,[],[f24,f633]) ).

fof(f24,axiom,
    l0(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).

fof(f1566,plain,
    ( spl113_232
    | ~ spl113_180 ),
    inference(avatar_split_clause,[],[f403,f1339,f1564]) ).

fof(f1339,plain,
    ( spl113_180
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl113_180])]) ).

fof(f403,plain,
    ! [X11,X6] :
      ( ~ sP16
      | ~ m0(X11,X6,b) ),
    inference(general_splitting,[],[f102,f402_D]) ).

fof(f402,plain,
    ! [X10] :
      ( sP16
      | p1(X10,X10,X10)
      | ~ l0(X10) ),
    inference(cnf_transformation,[],[f402_D]) ).

fof(f402_D,plain,
    ( ! [X10] :
        ( p1(X10,X10,X10)
        | ~ l0(X10) )
  <=> ~ sP16 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).

fof(f102,axiom,
    ! [X10,X11,X6] :
      ( p1(X10,X10,X10)
      | ~ l0(X10)
      | ~ m0(X11,X6,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_064) ).

fof(f1342,plain,
    ( spl113_179
    | spl113_180 ),
    inference(avatar_split_clause,[],[f402,f1339,f1336]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN210-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13  % 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 : n028.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 21:46:34 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (7409)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49  % (7401)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (7400)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)
% 0.19/0.51  % (7417)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)
% 0.19/0.52  % (7395)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (7413)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52  % (7399)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  % (7399)Instruction limit reached!
% 0.19/0.52  % (7399)------------------------------
% 0.19/0.52  % (7399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (7399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (7399)Termination reason: Unknown
% 0.19/0.52  % (7399)Termination phase: Blocked clause elimination
% 0.19/0.52  
% 0.19/0.52  % (7399)Memory used [KB]: 1407
% 0.19/0.52  % (7399)Time elapsed: 0.003 s
% 0.19/0.52  % (7399)Instructions burned: 2 (million)
% 0.19/0.52  % (7399)------------------------------
% 0.19/0.52  % (7399)------------------------------
% 0.19/0.52  % (7405)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)
% 0.19/0.53  % (7393)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)
% 0.19/0.53  % (7401)First to succeed.
% 0.19/0.53  % (7391)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)
% 0.19/0.53  % (7398)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (7420)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)
% 0.19/0.53  % (7400)Also succeeded, but the first one will report.
% 0.19/0.53  % (7397)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)
% 0.19/0.53  % (7418)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53  % (7401)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (7401)------------------------------
% 0.19/0.54  % (7401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (7401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (7401)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (7401)Memory used [KB]: 7291
% 0.19/0.54  % (7401)Time elapsed: 0.110 s
% 0.19/0.54  % (7401)Instructions burned: 36 (million)
% 0.19/0.54  % (7401)------------------------------
% 0.19/0.54  % (7401)------------------------------
% 0.19/0.54  % (7390)Success in time 0.188 s
%------------------------------------------------------------------------------