%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM571+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n013.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 18:00:40 EDT 2022

% Result   : Theorem 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   46 (   5 unt;   0 def)
%            Number of atoms       :  121 (  22 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  111 (  36   ~;  39   |;  27   &)
%                                         (   5 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :    6 (   3   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f587,plain,
    $false,
    inference(avatar_sat_refutation,[],[f529,f552,f563,f577,f580,f584,f586]) ).

fof(f586,plain,
    ( spl27_7
    | ~ spl27_9 ),
    inference(avatar_contradiction_clause,[],[f585]) ).

fof(f585,plain,
    ( $false
    | spl27_7
    | ~ spl27_9 ),
    inference(subsumption_resolution,[],[f583,f551]) ).

fof(f551,plain,
    ( ~ isCountable0(sF26)
    | spl27_7 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f549,plain,
    ( spl27_7
  <=> isCountable0(sF26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_7])]) ).

fof(f583,plain,
    ( isCountable0(sF26)
    | ~ spl27_9 ),
    inference(backward_demodulation,[],[f562,f518]) ).

fof(f518,plain,
    sdtlpdtrp0(xN,xi) = sF26,
    introduced(function_definition,[]) ).

fof(f562,plain,
    ( isCountable0(sdtlpdtrp0(xN,xi))
    | ~ spl27_9 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f560,plain,
    ( spl27_9
  <=> isCountable0(sdtlpdtrp0(xN,xi)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_9])]) ).

fof(f584,plain,
    ( spl27_6
    | ~ spl27_1 ),
    inference(avatar_split_clause,[],[f582,f522,f545]) ).

fof(f545,plain,
    ( spl27_6
  <=> aSubsetOf0(sF26,szNzAzT0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_6])]) ).

fof(f522,plain,
    ( spl27_1
  <=> aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).

fof(f582,plain,
    ( aSubsetOf0(sF26,szNzAzT0)
    | ~ spl27_1 ),
    inference(backward_demodulation,[],[f524,f518]) ).

fof(f524,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
    | ~ spl27_1 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f580,plain,
    ( ~ spl27_2
    | spl27_6 ),
    inference(avatar_contradiction_clause,[],[f579]) ).

fof(f579,plain,
    ( $false
    | ~ spl27_2
    | spl27_6 ),
    inference(subsumption_resolution,[],[f578,f444]) ).

fof(f444,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,axiom,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).

fof(f578,plain,
    ( ~ aSubsetOf0(xS,szNzAzT0)
    | ~ spl27_2
    | spl27_6 ),
    inference(forward_demodulation,[],[f547,f574]) ).

fof(f574,plain,
    ( xS = sF26
    | ~ spl27_2 ),
    inference(forward_demodulation,[],[f573,f360]) ).

fof(f360,plain,
    xS = sdtlpdtrp0(xN,sz00),
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ( xS = sdtlpdtrp0(xN,sz00)
    & ! [X0] :
        ( ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        | ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & aFunction0(xN)
    & szNzAzT0 = szDzozmdt0(xN) ),
    inference(flattening,[],[f186]) ).

fof(f186,plain,
    ( ! [X0] :
        ( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ~ aElementOf0(X0,szNzAzT0) )
    & aFunction0(xN)
    & szNzAzT0 = szDzozmdt0(xN)
    & xS = sdtlpdtrp0(xN,sz00) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
            & isCountable0(sdtlpdtrp0(xN,X0)) )
         => ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) )
    & aFunction0(xN)
    & szNzAzT0 = szDzozmdt0(xN)
    & xS = sdtlpdtrp0(xN,sz00) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).

fof(f573,plain,
    ( sdtlpdtrp0(xN,sz00) = sF26
    | ~ spl27_2 ),
    inference(forward_demodulation,[],[f518,f528]) ).

fof(f528,plain,
    ( sz00 = xi
    | ~ spl27_2 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f526,plain,
    ( spl27_2
  <=> sz00 = xi ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).

fof(f547,plain,
    ( ~ aSubsetOf0(sF26,szNzAzT0)
    | spl27_6 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f577,plain,
    ( ~ spl27_2
    | spl27_7 ),
    inference(avatar_contradiction_clause,[],[f576]) ).

fof(f576,plain,
    ( $false
    | ~ spl27_2
    | spl27_7 ),
    inference(subsumption_resolution,[],[f575,f445]) ).

fof(f445,plain,
    isCountable0(xS),
    inference(cnf_transformation,[],[f75]) ).

fof(f575,plain,
    ( ~ isCountable0(xS)
    | ~ spl27_2
    | spl27_7 ),
    inference(backward_demodulation,[],[f551,f574]) ).

fof(f563,plain,
    ( spl27_2
    | spl27_9 ),
    inference(avatar_split_clause,[],[f419,f560,f526]) ).

fof(f419,plain,
    ( isCountable0(sdtlpdtrp0(xN,xi))
    | sz00 = xi ),
    inference(cnf_transformation,[],[f274]) ).

fof(f274,plain,
    ( ( xi = szszuzczcdt0(sK20)
      & aElementOf0(sK20,szNzAzT0)
      & isCountable0(sdtlpdtrp0(xN,xi))
      & aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) )
    | sz00 = xi ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f180,f273]) ).

fof(f273,plain,
    ( ? [X0] :
        ( szszuzczcdt0(X0) = xi
        & aElementOf0(X0,szNzAzT0) )
   => ( xi = szszuzczcdt0(sK20)
      & aElementOf0(sK20,szNzAzT0) ) ),
    introduced(choice_axiom,[]) ).

fof(f180,plain,
    ( ( ? [X0] :
          ( szszuzczcdt0(X0) = xi
          & aElementOf0(X0,szNzAzT0) )
      & isCountable0(sdtlpdtrp0(xN,xi))
      & aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) )
    | sz00 = xi ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ( sz00 != xi
   => ( ? [X0] :
          ( szszuzczcdt0(X0) = xi
          & aElementOf0(X0,szNzAzT0) )
      & isCountable0(sdtlpdtrp0(xN,xi))
      & aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3702_02) ).

fof(f552,plain,
    ( ~ spl27_6
    | ~ spl27_7 ),
    inference(avatar_split_clause,[],[f519,f549,f545]) ).

fof(f519,plain,
    ( ~ isCountable0(sF26)
    | ~ aSubsetOf0(sF26,szNzAzT0) ),
    inference(definition_folding,[],[f454,f518,f518]) ).

fof(f454,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,xi)) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,xi)) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,negated_conjecture,
    ~ ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
      & isCountable0(sdtlpdtrp0(xN,xi)) ),
    inference(negated_conjecture,[],[f85]) ).

fof(f85,conjecture,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
    & isCountable0(sdtlpdtrp0(xN,xi)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f529,plain,
    ( spl27_1
    | spl27_2 ),
    inference(avatar_split_clause,[],[f418,f526,f522]) ).

fof(f418,plain,
    ( sz00 = xi
    | aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
    inference(cnf_transformation,[],[f274]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM571+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 07:01:16 EDT 2022
% 0.20/0.35  % CPUTime    : 
% 0.20/0.49  % (6222)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50  % (6222)Instruction limit reached!
% 0.20/0.50  % (6222)------------------------------
% 0.20/0.50  % (6222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (6222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (6222)Termination reason: Unknown
% 0.20/0.50  % (6222)Termination phase: Preprocessing 3
% 0.20/0.50  
% 0.20/0.50  % (6222)Memory used [KB]: 1535
% 0.20/0.50  % (6222)Time elapsed: 0.003 s
% 0.20/0.50  % (6222)Instructions burned: 3 (million)
% 0.20/0.50  % (6222)------------------------------
% 0.20/0.50  % (6222)------------------------------
% 0.20/0.51  % (6246)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.51  % (6231)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (6224)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52  % (6220)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52  % (6230)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.52  % (6239)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (6239)Instruction limit reached!
% 0.20/0.52  % (6239)------------------------------
% 0.20/0.52  % (6239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (6239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (6239)Termination reason: Unknown
% 0.20/0.52  % (6239)Termination phase: SInE selection
% 0.20/0.52  
% 0.20/0.52  % (6239)Memory used [KB]: 1407
% 0.20/0.52  % (6239)Time elapsed: 0.002 s
% 0.20/0.52  % (6239)Instructions burned: 2 (million)
% 0.20/0.52  % (6239)------------------------------
% 0.20/0.52  % (6239)------------------------------
% 0.20/0.52  % (6237)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52  % (6242)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (6237)Instruction limit reached!
% 0.20/0.52  % (6237)------------------------------
% 0.20/0.52  % (6237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (6237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (6237)Termination reason: Unknown
% 0.20/0.52  % (6237)Termination phase: Preprocessing 3
% 0.20/0.52  
% 0.20/0.52  % (6237)Memory used [KB]: 1535
% 0.20/0.52  % (6237)Time elapsed: 0.005 s
% 0.20/0.52  % (6237)Instructions burned: 3 (million)
% 0.20/0.52  % (6237)------------------------------
% 0.20/0.52  % (6237)------------------------------
% 0.20/0.52  % (6233)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (6243)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.53  % (6223)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)
% 0.20/0.53  % (6220)First to succeed.
% 0.20/0.53  % (6246)Also succeeded, but the first one will report.
% 0.20/0.53  % (6220)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Theorem for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (6220)------------------------------
% 0.20/0.53  % (6220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (6220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (6220)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (6220)Memory used [KB]: 6268
% 0.20/0.53  % (6220)Time elapsed: 0.112 s
% 0.20/0.53  % (6220)Instructions burned: 11 (million)
% 0.20/0.53  % (6220)------------------------------
% 0.20/0.53  % (6220)------------------------------
% 0.20/0.53  % (6214)Success in time 0.171 s
%------------------------------------------------------------------------------