TSTP Solution File: SYN669-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN669-1 : TPTP v8.1.0. Released v2.5.0.
% 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 19:39:13 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   32 (  21 unt;   0 def)
%            Number of atoms       :   46 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   31 (  17   ~;  13   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  12 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f510,plain,
    $false,
    inference(avatar_sat_refutation,[],[f489,f509]) ).

fof(f509,plain,
    ~ spl24_4,
    inference(avatar_contradiction_clause,[],[f508]) ).

fof(f508,plain,
    ( $false
    | ~ spl24_4 ),
    inference(subsumption_resolution,[],[f499,f97]) ).

fof(f97,plain,
    ~ p2(sF13,sF14),
    inference(superposition,[],[f74,f72]) ).

fof(f72,plain,
    sF14 = f18(sF13,sF3),
    introduced(function_definition,[]) ).

fof(f74,plain,
    ! [X10] : ~ p2(X10,f18(X10,sF3)),
    inference(definition_folding,[],[f18,f58,f57]) ).

fof(f57,plain,
    f17(c31) = sF2,
    introduced(function_definition,[]) ).

fof(f58,plain,
    f9(sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f18,axiom,
    ! [X10] : ~ p2(X10,f18(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_18) ).

fof(f499,plain,
    ( p2(sF13,sF14)
    | ~ spl24_4 ),
    inference(resolution,[],[f497,f188]) ).

fof(f188,plain,
    ! [X10] :
      ( ~ p2(sF11,X10)
      | p2(X10,sF14) ),
    inference(resolution,[],[f30,f73]) ).

fof(f73,plain,
    p2(sF11,sF14),
    inference(definition_folding,[],[f39,f72,f58,f57,f71,f70,f67,f66]) ).

fof(f66,plain,
    f4(c32) = sF10,
    introduced(function_definition,[]) ).

fof(f67,plain,
    sF11 = f11(sF10,c34),
    introduced(function_definition,[]) ).

fof(f70,plain,
    f4(c36) = sF12,
    introduced(function_definition,[]) ).

fof(f71,plain,
    sF13 = f11(sF12,c34),
    introduced(function_definition,[]) ).

fof(f39,axiom,
    p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_39) ).

fof(f30,axiom,
    ! [X34,X5,X33] :
      ( ~ p2(X5,X34)
      | p2(X33,X34)
      | ~ p2(X5,X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_30) ).

fof(f497,plain,
    ( p2(sF11,sF13)
    | ~ spl24_4 ),
    inference(resolution,[],[f480,f179]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( ~ p2(X1,X0)
      | p2(X0,X1) ),
    inference(resolution,[],[f30,f7]) ).

fof(f7,axiom,
    ! [X5] : p2(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).

fof(f480,plain,
    ( p2(sF13,sF11)
    | ~ spl24_4 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f478,plain,
    ( spl24_4
  <=> p2(sF13,sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_4])]) ).

fof(f489,plain,
    spl24_4,
    inference(avatar_split_clause,[],[f488,f478]) ).

fof(f488,plain,
    p2(sF13,sF11),
    inference(forward_demodulation,[],[f487,f71]) ).

fof(f487,plain,
    p2(f11(sF12,c34),sF11),
    inference(forward_demodulation,[],[f486,f70]) ).

fof(f486,plain,
    p2(f11(f4(c36),c34),sF11),
    inference(subsumption_resolution,[],[f482,f13]) ).

fof(f13,axiom,
    p25(c32,c36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_13) ).

fof(f482,plain,
    ( p2(f11(f4(c36),c34),sF11)
    | ~ p25(c32,c36) ),
    inference(resolution,[],[f80,f12]) ).

fof(f12,axiom,
    p25(c36,c33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_12) ).

fof(f80,plain,
    ! [X81] :
      ( ~ p25(X81,c33)
      | ~ p25(c32,X81)
      | p2(f11(f4(X81),c34),sF11) ),
    inference(definition_folding,[],[f49,f67,f66]) ).

fof(f49,axiom,
    ! [X81] :
      ( ~ p25(X81,c33)
      | p2(f11(f4(X81),c34),f11(f4(c32),c34))
      | ~ p25(c32,X81) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_49) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN669-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 22:12:05 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.44  % (20159)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.45  % (20175)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.49  % (20175)First to succeed.
% 0.19/0.49  % (20175)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (20175)------------------------------
% 0.19/0.50  % (20175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (20175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (20175)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (20175)Memory used [KB]: 5884
% 0.19/0.50  % (20175)Time elapsed: 0.089 s
% 0.19/0.50  % (20175)Instructions burned: 22 (million)
% 0.19/0.50  % (20175)------------------------------
% 0.19/0.50  % (20175)------------------------------
% 0.19/0.50  % (20146)Success in time 0.15 s
%------------------------------------------------------------------------------