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

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%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n011.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 15:53:01 EDT 2022

% Result   : Unsatisfiable 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   31 (   4 unt;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   65 (  36   ~;  27   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   3 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f178,plain,
    $false,
    inference(avatar_sat_refutation,[],[f56,f174,f177]) ).

fof(f177,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f176]) ).

fof(f176,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f43,f52]) ).

fof(f52,plain,
    ( ! [X0] : ~ algorithm_program_decides(X0)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f51,plain,
    ( spl0_1
  <=> ! [X0] : ~ algorithm_program_decides(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f174,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f173]) ).

fof(f173,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f43,f165]) ).

fof(f165,plain,
    ( ! [X0] : ~ algorithm_program_decides(X0)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f8,f162]) ).

fof(f162,plain,
    ( ! [X0] : ~ program_decides(X0)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f135,f158]) ).

fof(f158,plain,
    ( ! [X3] : ~ program_program_decides(X3)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f36,f152]) ).

fof(f152,plain,
    ( ! [X2,X3,X0,X1] : ~ program_not_halts2_halts3_outputs(X0,X1,X2,X3)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f25,f149]) ).

fof(f149,plain,
    ( ! [X0,X1] : ~ program_not_halts2(X0,X1)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f17,f130]) ).

fof(f130,plain,
    ( ! [X0,X1] : halts2(X0,X1)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f11,f126]) ).

fof(f126,plain,
    ( ! [X0,X1] : program_halts2(X0,X1)
    | ~ spl0_2 ),
    inference(resolution,[],[f63,f22]) ).

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

fof(f63,plain,
    ( ! [X3,X4] : program_halts2_halts3_outputs(c1,X3,X4,good)
    | ~ spl0_2 ),
    inference(resolution,[],[f35,f55]) ).

fof(f55,plain,
    ( program_program_decides(c1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f54,plain,
    ( spl0_2
  <=> program_program_decides(c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

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

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

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

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

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

fof(f135,plain,
    ( ! [X0] :
        ( program_program_decides(X0)
        | ~ program_decides(X0) )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f6,f129]) ).

fof(f129,plain,
    ( ! [X0] : program(X0)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f10,f126]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ~ program_halts2(X0,X1)
      | program(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',program_halts1) ).

fof(f6,axiom,
    ! [X0] :
      ( ~ program(X0)
      | ~ program_decides(X0)
      | program_program_decides(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',program_program_decides3) ).

fof(f8,axiom,
    ! [X0] :
      ( program_decides(X0)
      | ~ algorithm_program_decides(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',algorithm_program_decides2) ).

fof(f56,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f34,f54,f51]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : COM003-2 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % 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 : n011.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   : Mon Aug 29 16:59:09 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.43  % (17220)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.44  % (17212)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.44  % (17220)First to succeed.
% 0.19/0.44  TRYING [1]
% 0.19/0.44  TRYING [2]
% 0.19/0.44  % (17212)Instruction limit reached!
% 0.19/0.44  % (17212)------------------------------
% 0.19/0.44  % (17212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.44  % (17212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.44  % (17212)Termination reason: Unknown
% 0.19/0.44  % (17212)Termination phase: Finite model building constraint generation
% 0.19/0.44  
% 0.19/0.44  % (17212)Memory used [KB]: 6012
% 0.19/0.44  % (17212)Time elapsed: 0.041 s
% 0.19/0.44  % (17212)Instructions burned: 6 (million)
% 0.19/0.44  % (17212)------------------------------
% 0.19/0.44  % (17212)------------------------------
% 0.19/0.44  % (17220)Refutation found. Thanks to Tanya!
% 0.19/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.44  % (17220)------------------------------
% 0.19/0.44  % (17220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.44  % (17220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.44  % (17220)Termination reason: Refutation
% 0.19/0.44  
% 0.19/0.44  % (17220)Memory used [KB]: 5884
% 0.19/0.44  % (17220)Time elapsed: 0.034 s
% 0.19/0.44  % (17220)Instructions burned: 5 (million)
% 0.19/0.44  % (17220)------------------------------
% 0.19/0.44  % (17220)------------------------------
% 0.19/0.44  % (17193)Success in time 0.099 s
%------------------------------------------------------------------------------