%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : CSR019+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 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 : n002.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 15:54:10 EDT 2022

% Result   : Theorem 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   35 (  12 unt;   0 def)
%            Number of atoms       :  121 (  51 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  133 (  47   ~;  45   |;  34   &)
%                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f586,plain,
    $false,
    inference(avatar_sat_refutation,[],[f579,f582]) ).

fof(f582,plain,
    spl10_14,
    inference(avatar_split_clause,[],[f581,f444]) ).

fof(f444,plain,
    ( spl10_14
  <=> happens(push,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).

fof(f581,plain,
    happens(push,n1),
    inference(subsumption_resolution,[],[f580,f217]) ).

fof(f217,plain,
    happens(pull,n1),
    inference(equality_resolution,[],[f216]) ).

fof(f216,plain,
    ! [X1] :
      ( pull != X1
      | happens(X1,n1) ),
    inference(equality_resolution,[],[f182]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( n1 != X0
      | pull != X1
      | happens(X1,X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( happens(X1,X0)
    <=> ( ( n2 = X0
          & pull = X1 )
        | ( n0 = X0
          & push = X1 )
        | ( n2 = X0
          & push = X1 )
        | ( pull = X1
          & n1 = X0 ) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X4,X3] :
      ( happens(X3,X4)
    <=> ( ( n1 = X4
          & pull = X3 )
        | ( push = X3
          & n2 = X4 )
        | ( n0 = X4
          & push = X3 )
        | ( pull = X3
          & n2 = X4 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).

fof(f580,plain,
    ( happens(push,n1)
    | ~ happens(pull,n1) ),
    inference(subsumption_resolution,[],[f574,f143]) ).

fof(f143,plain,
    holdsAt(forwards,n2),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    holdsAt(forwards,n2),
    inference(flattening,[],[f49]) ).

fof(f49,negated_conjecture,
    ~ ~ holdsAt(forwards,n2),
    inference(negated_conjecture,[],[f48]) ).

fof(f48,conjecture,
    ~ holdsAt(forwards,n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_forwards_2) ).

fof(f574,plain,
    ( ~ holdsAt(forwards,n2)
    | happens(push,n1)
    | ~ happens(pull,n1) ),
    inference(resolution,[],[f509,f201]) ).

fof(f201,plain,
    ! [X1] :
      ( terminates(pull,forwards,X1)
      | happens(push,X1) ),
    inference(equality_resolution,[],[f200]) ).

fof(f200,plain,
    ! [X2,X1] :
      ( terminates(X2,forwards,X1)
      | pull != X2
      | happens(push,X1) ),
    inference(equality_resolution,[],[f121]) ).

fof(f121,plain,
    ! [X2,X0,X1] :
      ( terminates(X2,X0,X1)
      | forwards != X0
      | pull != X2
      | happens(push,X1) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X1,X2,X0] :
      ( ( ( push = X2
          & ~ happens(pull,X1)
          & backwards = X0 )
        | ( push = X2
          & ~ happens(pull,X1)
          & spinning = X0 )
        | ( spinning = X0
          & ~ happens(push,X1)
          & pull = X2 )
        | ( pull = X2
          & happens(push,X1)
          & backwards = X0 )
        | ( ~ happens(push,X1)
          & pull = X2
          & forwards = X0 )
        | ( forwards = X0
          & happens(push,X1)
          & pull = X2 ) )
    <=> terminates(X2,X0,X1) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X1,X4,X3] :
      ( ( ( ~ happens(pull,X4)
          & push = X3
          & spinning = X1 )
        | ( forwards = X1
          & pull = X3
          & ~ happens(push,X4) )
        | ( happens(push,X4)
          & forwards = X1
          & pull = X3 )
        | ( pull = X3
          & happens(push,X4)
          & backwards = X1 )
        | ( ~ happens(push,X4)
          & spinning = X1
          & pull = X3 )
        | ( ~ happens(pull,X4)
          & push = X3
          & backwards = X1 ) )
    <=> terminates(X3,X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',terminates_all_defn) ).

fof(f509,plain,
    ! [X2,X3] :
      ( ~ terminates(X3,X2,n1)
      | ~ happens(X3,n1)
      | ~ holdsAt(X2,n2) ),
    inference(superposition,[],[f139,f194]) ).

fof(f194,plain,
    n2 = plus(n1,n1),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,axiom,
    n2 = plus(n1,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).

fof(f139,plain,
    ! [X2,X0,X1] :
      ( ~ holdsAt(X2,plus(X0,n1))
      | ~ terminates(X1,X2,X0)
      | ~ happens(X1,X0) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X1,X0,X2] :
      ( ~ terminates(X1,X2,X0)
      | ~ happens(X1,X0)
      | ~ holdsAt(X2,plus(X0,n1)) ),
    inference(flattening,[],[f87]) ).

fof(f87,plain,
    ! [X2,X1,X0] :
      ( ~ holdsAt(X2,plus(X0,n1))
      | ~ terminates(X1,X2,X0)
      | ~ happens(X1,X0) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X2,X1,X0] :
      ( ( terminates(X1,X2,X0)
        & happens(X1,X0) )
     => ~ holdsAt(X2,plus(X0,n1)) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X4,X3,X1] :
      ( ( terminates(X3,X1,X4)
        & happens(X3,X4) )
     => ~ holdsAt(X1,plus(X4,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_terminates_not_holds) ).

fof(f579,plain,
    ~ spl10_14,
    inference(avatar_split_clause,[],[f578,f444]) ).

fof(f578,plain,
    ~ happens(push,n1),
    inference(subsumption_resolution,[],[f577,f217]) ).

fof(f577,plain,
    ( ~ happens(pull,n1)
    | ~ happens(push,n1) ),
    inference(subsumption_resolution,[],[f575,f143]) ).

fof(f575,plain,
    ( ~ holdsAt(forwards,n2)
    | ~ happens(pull,n1)
    | ~ happens(push,n1) ),
    inference(resolution,[],[f509,f199]) ).

fof(f199,plain,
    ! [X1] :
      ( terminates(pull,forwards,X1)
      | ~ happens(push,X1) ),
    inference(equality_resolution,[],[f198]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( terminates(pull,X0,X1)
      | ~ happens(push,X1)
      | forwards != X0 ),
    inference(equality_resolution,[],[f130]) ).

fof(f130,plain,
    ! [X2,X0,X1] :
      ( terminates(X2,X0,X1)
      | pull != X2
      | ~ happens(push,X1)
      | forwards != X0 ),
    inference(cnf_transformation,[],[f53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : CSR019+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 17:51:28 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (2402)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.49  % (2429)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.49  % (2405)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)
% 0.18/0.49  % (2410)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)
% 0.18/0.50  % (2421)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)
% 0.18/0.50  % (2407)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.50  % (2421)Instruction limit reached!
% 0.18/0.50  % (2421)------------------------------
% 0.18/0.50  % (2421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (2421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (2421)Termination reason: Unknown
% 0.18/0.50  % (2421)Termination phase: Property scanning
% 0.18/0.50  
% 0.18/0.50  % (2421)Memory used [KB]: 1407
% 0.18/0.50  % (2421)Time elapsed: 0.002 s
% 0.18/0.50  % (2421)Instructions burned: 2 (million)
% 0.18/0.50  % (2421)------------------------------
% 0.18/0.50  % (2421)------------------------------
% 0.18/0.50  % (2413)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)
% 0.18/0.50  % (2413)Refutation not found, incomplete strategy% (2413)------------------------------
% 0.18/0.50  % (2413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (2433)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.50  % (2410)First to succeed.
% 0.18/0.50  % (2413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (2413)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50  
% 0.18/0.50  % (2413)Memory used [KB]: 6012
% 0.18/0.50  % (2413)Time elapsed: 0.117 s
% 0.18/0.50  % (2413)Instructions burned: 4 (million)
% 0.18/0.50  % (2413)------------------------------
% 0.18/0.50  % (2413)------------------------------
% 0.18/0.50  % (2412)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.50  % (2426)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)
% 0.18/0.50  % (2404)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)
% 0.18/0.50  % (2434)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.51  % (2405)Refutation not found, incomplete strategy% (2405)------------------------------
% 0.18/0.51  % (2405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (2405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (2405)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (2405)Memory used [KB]: 6140
% 0.18/0.51  % (2405)Time elapsed: 0.109 s
% 0.18/0.51  % (2405)Instructions burned: 6 (million)
% 0.18/0.51  % (2405)------------------------------
% 0.18/0.51  % (2405)------------------------------
% 0.18/0.51  % (2407)Refutation not found, incomplete strategy% (2407)------------------------------
% 0.18/0.51  % (2407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (2416)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)
% 0.18/0.51  % (2407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (2407)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (2407)Memory used [KB]: 1535
% 0.18/0.51  % (2407)Time elapsed: 0.115 s
% 0.18/0.51  % (2407)Instructions burned: 3 (million)
% 0.18/0.51  % (2407)------------------------------
% 0.18/0.51  % (2407)------------------------------
% 0.18/0.51  % (2424)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.51  % (2408)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.51  % (2414)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)
% 0.18/0.51  % (2410)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Theorem for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (2410)------------------------------
% 0.18/0.51  % (2410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (2410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (2410)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (2410)Memory used [KB]: 6268
% 0.18/0.51  % (2410)Time elapsed: 0.115 s
% 0.18/0.51  % (2410)Instructions burned: 17 (million)
% 0.18/0.51  % (2410)------------------------------
% 0.18/0.51  % (2410)------------------------------
% 0.18/0.51  % (2397)Success in time 0.17 s
%------------------------------------------------------------------------------