%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM304+1 : TPTP v8.1.0. Released 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 : 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 17:58:04 EDT 2022

% Result   : Theorem 0.22s 0.55s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   32 (  14 unt;   0 def)
%            Number of atoms       :   73 (  12 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   81 (  40   ~;  28   |;   8   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   53 (  51   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f712,plain,
    $false,
    inference(avatar_sat_refutation,[],[f635,f711]) ).

fof(f711,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f710]) ).

fof(f710,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f707,f690]) ).

fof(f690,plain,
    ! [X0] : rdn_translate(X0,n12),
    inference(superposition,[],[f617,f646]) ).

fof(f646,plain,
    ! [X0,X1] : X0 = X1,
    inference(superposition,[],[f577,f577]) ).

fof(f577,plain,
    ! [X0] : n12 = X0,
    inference(cnf_transformation,[],[f531]) ).

fof(f531,plain,
    ! [X0] : n12 = X0,
    inference(ennf_transformation,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ? [X0] : n12 != X0,
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ? [X0] : n12 != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_not_n12) ).

fof(f617,plain,
    rdn_translate(n8,n12),
    inference(forward_demodulation,[],[f597,f577]) ).

fof(f597,plain,
    rdn_translate(n8,rdn_pos(n12)),
    inference(backward_demodulation,[],[f563,f577]) ).

fof(f563,plain,
    rdn_translate(n8,rdn_pos(rdnn(n8))),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    rdn_translate(n8,rdn_pos(rdnn(n8))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn8) ).

fof(f707,plain,
    ( ! [X0] : ~ rdn_translate(X0,n12)
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f705]) ).

fof(f705,plain,
    ( ! [X0] :
        ( ~ rdn_translate(X0,n12)
        | ~ rdn_translate(X0,n12) )
    | ~ spl0_2 ),
    inference(resolution,[],[f611,f580]) ).

fof(f580,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f574]) ).

fof(f574,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ less(X1,X0) ),
    inference(cnf_transformation,[],[f543]) ).

fof(f543,plain,
    ! [X0,X1] :
      ( ( ( ~ less(X0,X1)
          & X0 != X1 )
        | ~ less(X1,X0) )
      & ( less(X1,X0)
        | less(X0,X1)
        | X0 = X1 ) ),
    inference(flattening,[],[f542]) ).

fof(f542,plain,
    ! [X0,X1] :
      ( ( ( ~ less(X0,X1)
          & X0 != X1 )
        | ~ less(X1,X0) )
      & ( less(X1,X0)
        | less(X0,X1)
        | X0 = X1 ) ),
    inference(nnf_transformation,[],[f404]) ).

fof(f404,plain,
    ! [X0,X1] :
      ( ( ~ less(X0,X1)
        & X0 != X1 )
    <=> less(X1,X0) ),
    inference(rectify,[],[f284]) ).

fof(f284,axiom,
    ! [X1,X0] :
      ( ( ~ less(X1,X0)
        & X0 != X1 )
    <=> less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).

fof(f611,plain,
    ( ! [X0,X1] :
        ( less(X1,X0)
        | ~ rdn_translate(X0,n12)
        | ~ rdn_translate(X1,n12) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f610,plain,
    ( spl0_2
  <=> ! [X0,X1] :
        ( ~ rdn_translate(X1,n12)
        | less(X1,X0)
        | ~ rdn_translate(X0,n12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f635,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f634,f610]) ).

fof(f634,plain,
    ! [X2,X3] :
      ( less(X2,X3)
      | ~ rdn_translate(X2,n12)
      | ~ rdn_translate(X3,n12) ),
    inference(forward_demodulation,[],[f602,f577]) ).

fof(f602,plain,
    ! [X2,X3,X0] :
      ( less(X2,X3)
      | ~ rdn_translate(X2,rdn_neg(X0))
      | ~ rdn_translate(X3,n12) ),
    inference(backward_demodulation,[],[f578,f577]) ).

fof(f578,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_translate(X2,rdn_neg(X0))
      | less(X2,X3)
      | ~ rdn_translate(X3,rdn_pos(X1)) ),
    inference(cnf_transformation,[],[f545]) ).

fof(f545,plain,
    ! [X0,X1,X2,X3] :
      ( less(X2,X3)
      | ~ rdn_translate(X2,rdn_neg(X0))
      | ~ rdn_translate(X3,rdn_pos(X1)) ),
    inference(rectify,[],[f515]) ).

fof(f515,plain,
    ! [X1,X3,X0,X2] :
      ( less(X0,X2)
      | ~ rdn_translate(X0,rdn_neg(X1))
      | ~ rdn_translate(X2,rdn_pos(X3)) ),
    inference(flattening,[],[f514]) ).

fof(f514,plain,
    ! [X1,X0,X2,X3] :
      ( less(X0,X2)
      | ~ rdn_translate(X0,rdn_neg(X1))
      | ~ rdn_translate(X2,rdn_pos(X3)) ),
    inference(ennf_transformation,[],[f410]) ).

fof(f410,plain,
    ! [X1,X0,X2,X3] :
      ( ( rdn_translate(X0,rdn_neg(X1))
        & rdn_translate(X2,rdn_pos(X3)) )
     => less(X0,X2) ),
    inference(rectify,[],[f282]) ).

fof(f282,axiom,
    ! [X0,X9,X1,X10] :
      ( ( rdn_translate(X1,rdn_pos(X10))
        & rdn_translate(X0,rdn_neg(X9)) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_neg_pos) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : NUM304+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 06:34:35 EDT 2022
% 0.14/0.37  % CPUTime    : 
% 0.22/0.53  % (18612)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)
% 0.22/0.54  % (18603)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.22/0.54  % (18627)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)
% 0.22/0.54  % (18611)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)
% 0.22/0.54  % (18604)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)
% 0.22/0.54  % (18610)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)
% 0.22/0.54  % (18604)Instruction limit reached!
% 0.22/0.54  % (18604)------------------------------
% 0.22/0.54  % (18604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54  % (18604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54  % (18604)Termination reason: Unknown
% 0.22/0.54  % (18604)Termination phase: Property scanning
% 0.22/0.54  
% 0.22/0.54  % (18604)Memory used [KB]: 1791
% 0.22/0.54  % (18604)Time elapsed: 0.004 s
% 0.22/0.54  % (18604)Instructions burned: 4 (million)
% 0.22/0.54  % (18604)------------------------------
% 0.22/0.54  % (18604)------------------------------
% 0.22/0.55  % (18617)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.55  % (18607)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)
% 0.22/0.55  % (18627)First to succeed.
% 0.22/0.55  % (18612)Refutation not found, incomplete strategy% (18612)------------------------------
% 0.22/0.55  % (18612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55  % (18612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55  % (18612)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.55  
% 0.22/0.55  % (18612)Memory used [KB]: 6268
% 0.22/0.55  % (18612)Time elapsed: 0.117 s
% 0.22/0.55  % (18627)Refutation found. Thanks to Tanya!
% 0.22/0.55  % SZS status Theorem for theBenchmark
% 0.22/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.55  % (18627)------------------------------
% 0.22/0.55  % (18627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55  % (18627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55  % (18627)Termination reason: Refutation
% 0.22/0.55  
% 0.22/0.55  % (18627)Memory used [KB]: 6396
% 0.22/0.55  % (18627)Time elapsed: 0.117 s
% 0.22/0.55  % (18627)Instructions burned: 6 (million)
% 0.22/0.55  % (18627)------------------------------
% 0.22/0.55  % (18627)------------------------------
% 0.22/0.55  % (18592)Success in time 0.177 s
%------------------------------------------------------------------------------