%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV046+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n026.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 18:43:59 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   58 (  44 unt;   0 def)
%            Number of atoms       :  117 (  64 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :   90 (  31   ~;  22   |;  26   &)
%                                         (   5 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-2 aty)
%            Number of functors    :   39 (  39 usr;  29 con; 0-3 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f500,plain,
    $false,
    inference(avatar_sat_refutation,[],[f464,f482,f483,f484,f485,f499]) ).

fof(f499,plain,
    spl49_6,
    inference(avatar_contradiction_clause,[],[f498]) ).

fof(f498,plain,
    ( $false
    | spl49_6 ),
    inference(subsumption_resolution,[],[f497,f480]) ).

fof(f480,plain,
    ( n0 != sF44
    | spl49_6 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f478,plain,
    ( spl49_6
  <=> n0 = sF44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_6])]) ).

fof(f497,plain,
    n0 = sF44,
    inference(forward_demodulation,[],[f495,f263]) ).

fof(f263,plain,
    ! [X0] : n0 = sum(n0,tptp_minus_1,X0),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0] : n0 = sum(n0,tptp_minus_1,X0),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X22] : n0 = sum(n0,tptp_minus_1,X22),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_plus_base) ).

fof(f495,plain,
    sum(n0,tptp_minus_1,sF43) = sF44,
    inference(backward_demodulation,[],[f446,f494]) ).

fof(f494,plain,
    tptp_minus_1 = sF35,
    inference(forward_demodulation,[],[f492,f437]) ).

fof(f437,plain,
    minus(n0,n1) = sF35,
    introduced(function_definition,[]) ).

fof(f492,plain,
    tptp_minus_1 = minus(n0,n1),
    inference(superposition,[],[f405,f414]) ).

fof(f414,plain,
    n0 = plus(n1,tptp_minus_1),
    inference(definition_unfolding,[],[f291,f284]) ).

fof(f284,plain,
    ! [X0] : succ(X0) = plus(n1,X0),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] : succ(X0) = plus(n1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_l) ).

fof(f291,plain,
    n0 = succ(tptp_minus_1),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,axiom,
    n0 = succ(tptp_minus_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_tptp_minus_1) ).

fof(f405,plain,
    ! [X0] : minus(plus(n1,X0),n1) = X0,
    inference(definition_unfolding,[],[f260,f331,f284]) ).

fof(f331,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ! [X0] : minus(X0,n1) = pred(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).

fof(f260,plain,
    ! [X0] : pred(succ(X0)) = X0,
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    ! [X0] : pred(succ(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_succ) ).

fof(f446,plain,
    sF44 = sum(n0,sF35,sF43),
    introduced(function_definition,[]) ).

fof(f485,plain,
    spl49_3,
    inference(avatar_split_clause,[],[f449,f466]) ).

fof(f466,plain,
    ( spl49_3
  <=> leq(pv35,sF34) ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_3])]) ).

fof(f449,plain,
    leq(pv35,sF34),
    inference(definition_folding,[],[f246,f436]) ).

fof(f436,plain,
    minus(n5,n1) = sF34,
    introduced(function_definition,[]) ).

fof(f246,plain,
    leq(pv35,minus(n5,n1)),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
    & ( ( n0 = pv44
        & ~ true )
      | ( n0 != pv44
        & ( pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
          | ~ leq(pv35,minus(n5,n1))
          | n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
          | ~ leq(n0,pv35) ) ) )
    & leq(pv35,minus(n5,n1))
    & leq(n0,pv35)
    & pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ( ( ( n0 = pv44
        & ~ true )
      | ( n0 != pv44
        & ( pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
          | ~ leq(pv35,minus(n5,n1))
          | n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
          | ~ leq(n0,pv35) ) ) )
    & leq(n0,pv35)
    & leq(pv35,minus(n5,n1))
    & pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
    & pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(n0,pv35)
        & leq(pv35,minus(n5,n1))
        & pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
        & pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) )
     => ( ( n0 = pv44
         => true )
        & ( n0 != pv44
         => ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
            & n0 = sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
            & leq(n0,pv35)
            & leq(pv35,minus(n5,n1)) ) ) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(n0,pv35)
      & leq(pv35,minus(n5,n1))
      & pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
      & pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) )
   => ( ( n0 = pv44
       => true )
      & ( n0 != pv44
       => ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
          & n0 = sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
          & leq(n0,pv35)
          & leq(pv35,minus(n5,n1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0010) ).

fof(f484,plain,
    ( ~ spl49_3
    | ~ spl49_4
    | ~ spl49_5
    | ~ spl49_1
    | ~ spl49_6 ),
    inference(avatar_split_clause,[],[f448,f478,f456,f474,f470,f466]) ).

fof(f470,plain,
    ( spl49_4
  <=> pv78 = sF33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_4])]) ).

fof(f474,plain,
    ( spl49_5
  <=> leq(n0,pv35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_5])]) ).

fof(f456,plain,
    ( spl49_1
  <=> true ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_1])]) ).

fof(f448,plain,
    ( n0 != sF44
    | ~ true
    | ~ leq(n0,pv35)
    | pv78 != sF33
    | ~ leq(pv35,sF34) ),
    inference(definition_folding,[],[f247,f446,f445,f444,f443,f442,f441,f440,f439,f438,f442,f441,f440,f439,f438,f437,f436,f434,f433,f432]) ).

fof(f432,plain,
    minus(n135300,n1) = sF31,
    introduced(function_definition,[]) ).

fof(f433,plain,
    a_select3(q,pv79,pv35) = sF32,
    introduced(function_definition,[]) ).

fof(f434,plain,
    sum(n0,sF31,sF32) = sF33,
    introduced(function_definition,[]) ).

fof(f438,plain,
    a_select2(x,pv83) = sF36,
    introduced(function_definition,[]) ).

fof(f439,plain,
    divide(pv80,pv44) = sF37,
    introduced(function_definition,[]) ).

fof(f440,plain,
    tptp_update2(mu,pv35,sF37) = sF38,
    introduced(function_definition,[]) ).

fof(f441,plain,
    a_select2(sF38,pv35) = sF39,
    introduced(function_definition,[]) ).

fof(f442,plain,
    sF40 = minus(sF36,sF39),
    introduced(function_definition,[]) ).

fof(f443,plain,
    a_select3(q,pv83,pv35) = sF41,
    introduced(function_definition,[]) ).

fof(f444,plain,
    times(sF40,sF41) = sF42,
    introduced(function_definition,[]) ).

fof(f445,plain,
    sF43 = times(sF40,sF42),
    introduced(function_definition,[]) ).

fof(f247,plain,
    ( ~ true
    | pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
    | ~ leq(pv35,minus(n5,n1))
    | n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
    | ~ leq(n0,pv35) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f483,plain,
    spl49_5,
    inference(avatar_split_clause,[],[f245,f474]) ).

fof(f245,plain,
    leq(n0,pv35),
    inference(cnf_transformation,[],[f129]) ).

fof(f482,plain,
    spl49_4,
    inference(avatar_split_clause,[],[f435,f470]) ).

fof(f435,plain,
    pv78 = sF33,
    inference(definition_folding,[],[f251,f434,f433,f432]) ).

fof(f251,plain,
    pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)),
    inference(cnf_transformation,[],[f129]) ).

fof(f464,plain,
    spl49_1,
    inference(avatar_split_clause,[],[f283,f456]) ).

fof(f283,plain,
    true,
    inference(cnf_transformation,[],[f51]) ).

fof(f51,axiom,
    true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ttrue) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWV046+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 19:11:36 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.44  % (23803)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.46  % (23795)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.46  % (23798)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.48  % (23795)First to succeed.
% 0.19/0.49  % (23795)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (23795)------------------------------
% 0.19/0.49  % (23795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (23795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (23795)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (23795)Memory used [KB]: 6268
% 0.19/0.49  % (23795)Time elapsed: 0.108 s
% 0.19/0.49  % (23795)Instructions burned: 14 (million)
% 0.19/0.49  % (23795)------------------------------
% 0.19/0.49  % (23795)------------------------------
% 0.19/0.49  % (23794)Success in time 0.146 s
%------------------------------------------------------------------------------