TSTP Solution File: COM003-2 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COM003-2 : 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 15:53:32 EDT 2022

% Result   : Unsatisfiable 0.13s 0.49s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   32 (   3 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   64 (  33   ~;  26   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   6 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f146,plain,
    $false,
    inference(avatar_sat_refutation,[],[f67,f113,f131,f136,f139,f145]) ).

fof(f145,plain,
    ( ~ spl4_15
    | ~ spl4_17 ),
    inference(avatar_contradiction_clause,[],[f144]) ).

fof(f144,plain,
    ( $false
    | ~ spl4_15
    | ~ spl4_17 ),
    inference(resolution,[],[f143,f127]) ).

fof(f127,plain,
    ( ! [X0,X1] : program_halts2(X0,X1)
    | ~ spl4_15 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f126,plain,
    ( spl4_15
  <=> ! [X0,X1] : program_halts2(X0,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).

fof(f143,plain,
    ( ! [X0,X1] : ~ program_halts2(X0,X1)
    | ~ spl4_17 ),
    inference(resolution,[],[f141,f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( halts2(X0,X1)
      | ~ program_halts2(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',program_halts3a) ).

fof(f141,plain,
    ( ! [X0,X1] : ~ halts2(X0,X1)
    | ~ spl4_17 ),
    inference(resolution,[],[f135,f17]) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ~ program_not_halts2(X0,X1)
      | ~ halts2(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',program_not_halts3a) ).

fof(f135,plain,
    ( ! [X0,X1] : program_not_halts2(X0,X1)
    | ~ spl4_17 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f134,plain,
    ( spl4_17
  <=> ! [X0,X1] : program_not_halts2(X0,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

fof(f139,plain,
    ( ~ spl4_4
    | ~ spl4_16 ),
    inference(avatar_contradiction_clause,[],[f137]) ).

fof(f137,plain,
    ( $false
    | ~ spl4_4
    | ~ spl4_16 ),
    inference(resolution,[],[f130,f66]) ).

fof(f66,plain,
    ( program_program_decides(c1)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f64,plain,
    ( spl4_4
  <=> program_program_decides(c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f130,plain,
    ( ! [X2] : ~ program_program_decides(X2)
    | ~ spl4_16 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f129,plain,
    ( spl4_16
  <=> ! [X2] : ~ program_program_decides(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

fof(f136,plain,
    ( spl4_16
    | spl4_17 ),
    inference(avatar_split_clause,[],[f132,f134,f129]) ).

fof(f132,plain,
    ! [X2,X0,X1] :
      ( program_not_halts2(X0,X1)
      | ~ program_program_decides(X2) ),
    inference(resolution,[],[f25,f36]) ).

fof(f36,axiom,
    ! [X2,X3,X1] :
      ( program_not_halts2_halts3_outputs(X3,X1,X2,bad)
      | ~ program_program_decides(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom2_2) ).

fof(f25,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ program_not_halts2_halts3_outputs(X0,X1,X2,X3)
      | program_not_halts2(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',program_not_halts2_halts3_outputs1) ).

fof(f131,plain,
    ( spl4_15
    | spl4_16 ),
    inference(avatar_split_clause,[],[f124,f129,f126]) ).

fof(f124,plain,
    ! [X2,X0,X1] :
      ( ~ program_program_decides(X2)
      | program_halts2(X0,X1) ),
    inference(resolution,[],[f22,f35]) ).

fof(f35,axiom,
    ! [X2,X3,X1] :
      ( program_halts2_halts3_outputs(X3,X1,X2,good)
      | ~ program_program_decides(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom2_1) ).

fof(f22,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ program_halts2_halts3_outputs(X0,X1,X2,X3)
      | program_halts2(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',program_halts2_halts3_outputs1) ).

fof(f113,plain,
    ~ spl4_3,
    inference(avatar_contradiction_clause,[],[f112]) ).

fof(f112,plain,
    ( $false
    | ~ spl4_3 ),
    inference(resolution,[],[f62,f43]) ).

fof(f43,axiom,
    algorithm_program_decides(c4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_algorithm_does_not_exist) ).

fof(f62,plain,
    ( ! [X0] : ~ algorithm_program_decides(X0)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl4_3
  <=> ! [X0] : ~ algorithm_program_decides(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f67,plain,
    ( spl4_3
    | spl4_4 ),
    inference(avatar_split_clause,[],[f34,f64,f61]) ).

fof(f34,axiom,
    ! [X0] :
      ( program_program_decides(c1)
      | ~ algorithm_program_decides(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom1_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : COM003-2 : TPTP v8.1.0. Released v1.1.0.
% 0.00/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.32  % Computer : n009.cluster.edu
% 0.09/0.32  % Model    : x86_64 x86_64
% 0.09/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32  % Memory   : 8042.1875MB
% 0.09/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32  % CPULimit   : 300
% 0.09/0.32  % WCLimit    : 300
% 0.09/0.32  % DateTime   : Mon Aug 29 16:58:35 EDT 2022
% 0.09/0.32  % CPUTime    : 
% 0.13/0.47  % (19605)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)
% 0.13/0.48  % (19624)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.13/0.48  % (19613)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)
% 0.13/0.48  % (19608)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)
% 0.13/0.48  % (19609)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.13/0.49  % (19621)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)
% 0.13/0.49  % (19616)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.13/0.49  % (19609)First to succeed.
% 0.13/0.49  % (19608)Also succeeded, but the first one will report.
% 0.13/0.49  TRYING [1]
% 0.13/0.49  TRYING [2]
% 0.13/0.49  % (19609)Refutation found. Thanks to Tanya!
% 0.13/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.49  % (19609)------------------------------
% 0.13/0.49  % (19609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.49  % (19609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.49  % (19609)Termination reason: Refutation
% 0.13/0.49  
% 0.13/0.49  % (19609)Memory used [KB]: 5500
% 0.13/0.49  % (19609)Time elapsed: 0.103 s
% 0.13/0.49  % (19609)Instructions burned: 3 (million)
% 0.13/0.49  % (19609)------------------------------
% 0.13/0.49  % (19609)------------------------------
% 0.13/0.49  % (19598)Success in time 0.162 s
%------------------------------------------------------------------------------