TSTP Solution File: SYN665-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN665-1 : 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_uns --cores 0 -t %d %s

% Computer : n025.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 19:28:02 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (   9 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   54 (  28   ~;  23   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f220,plain,
    $false,
    inference(avatar_sat_refutation,[],[f163,f208,f216,f219]) ).

fof(f219,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f217]) ).

fof(f217,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f207,f12]) ).

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

fof(f207,plain,
    ( ~ p25(c36,c33)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f205,plain,
    ( spl0_7
  <=> p25(c36,c33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f216,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f214]) ).

fof(f214,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f171,f13]) ).

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

fof(f171,plain,
    ( ~ p25(c32,c36)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl0_6
  <=> p25(c32,c36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f208,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f200,f169,f205,f141]) ).

fof(f141,plain,
    ( spl0_2
  <=> p2(f11(f4(c32),c34),f11(f4(c32),c34)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f200,plain,
    ( ~ p25(c32,c36)
    | ~ p25(c36,c33)
    | ~ p2(f11(f4(c32),c34),f11(f4(c32),c34)) ),
    inference(resolution,[],[f130,f49]) ).

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

fof(f130,plain,
    ! [X11] :
      ( ~ p2(f11(f4(c36),c34),X11)
      | ~ p2(f11(f4(c32),c34),X11) ),
    inference(resolution,[],[f102,f40]) ).

fof(f40,axiom,
    p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_40) ).

fof(f102,plain,
    ! [X6,X4,X5] :
      ( ~ p2(X6,f16(X4,f9(f17(c31))))
      | ~ p2(X4,X5)
      | ~ p2(X6,X5) ),
    inference(resolution,[],[f97,f31]) ).

fof(f31,axiom,
    ! [X34,X5,X33] :
      ( p2(X33,X34)
      | ~ p2(X5,X33)
      | ~ p2(X5,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_31) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ p2(f16(X0,f9(f17(c31))),X1)
      | ~ p2(X0,X1) ),
    inference(resolution,[],[f75,f7]) ).

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

fof(f75,plain,
    ! [X2,X3,X4] :
      ( ~ p2(X2,f9(f17(c31)))
      | ~ p2(f16(X3,X2),X4)
      | ~ p2(X3,X4) ),
    inference(resolution,[],[f47,f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ p2(X0,f16(X1,f9(f17(c31))))
      | ~ p2(X0,X1) ),
    inference(resolution,[],[f31,f19]) ).

fof(f19,axiom,
    ! [X10] : ~ p2(X10,f16(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_19) ).

fof(f47,axiom,
    ! [X73,X76,X74,X75] :
      ( p2(f16(X73,X74),f16(X75,X76))
      | ~ p2(X74,X76)
      | ~ p2(X73,X75) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_47) ).

fof(f163,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f160]) ).

fof(f160,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f143,f7]) ).

fof(f143,plain,
    ( ~ p2(f11(f4(c32),c34),f11(f4(c32),c34))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f141]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN665-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % 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 : n025.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 22:23:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  % (6322)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.47  % (6330)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.47  % (6330)Instruction limit reached!
% 0.20/0.47  % (6330)------------------------------
% 0.20/0.47  % (6330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (6330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (6330)Termination reason: Unknown
% 0.20/0.47  % (6330)Termination phase: Saturation
% 0.20/0.47  
% 0.20/0.47  % (6330)Memory used [KB]: 5884
% 0.20/0.47  % (6330)Time elapsed: 0.004 s
% 0.20/0.47  % (6330)Instructions burned: 3 (million)
% 0.20/0.47  % (6330)------------------------------
% 0.20/0.47  % (6330)------------------------------
% 0.20/0.49  % (6322)First to succeed.
% 0.20/0.49  % (6346)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.49  % (6338)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.49  % (6322)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (6322)------------------------------
% 0.20/0.49  % (6322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (6322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (6322)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (6322)Memory used [KB]: 5884
% 0.20/0.49  % (6322)Time elapsed: 0.100 s
% 0.20/0.49  % (6322)Instructions burned: 9 (million)
% 0.20/0.49  % (6322)------------------------------
% 0.20/0.49  % (6322)------------------------------
% 0.20/0.49  % (6316)Success in time 0.146 s
%------------------------------------------------------------------------------