%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET904+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n012.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 18:22:42 EDT 2022

% Result   : Theorem 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   21 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   7   ~;   2   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (  16   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f37,plain,
    $false,
    inference(subsumption_resolution,[],[f36,f34]) ).

fof(f34,plain,
    subset(set_union2(sK1,singleton(sK2)),sK1),
    inference(forward_demodulation,[],[f28,f33]) ).

fof(f33,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X1,X0] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] : set_union2(X0,X1) = set_union2(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).

fof(f28,plain,
    subset(set_union2(singleton(sK2),sK1),sK1),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ? [X1,X0] :
      ( ~ in(X0,X1)
      & subset(set_union2(singleton(X0),X1),X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X1,X0] :
        ( subset(set_union2(singleton(X0),X1),X1)
       => in(X0,X1) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X1,X0] :
      ( subset(set_union2(singleton(X0),X1),X1)
     => in(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_zfmisc_1) ).

fof(f36,plain,
    ~ subset(set_union2(sK1,singleton(sK2)),sK1),
    inference(forward_demodulation,[],[f35,f33]) ).

fof(f35,plain,
    ~ subset(set_union2(singleton(sK2),sK1),sK1),
    inference(unit_resulting_resolution,[],[f29,f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ subset(set_union2(singleton(X0),X1),X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X1,X0] :
      ( ~ subset(set_union2(singleton(X0),X1),X1)
      | in(X0,X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X1,X0] :
      ( subset(set_union2(singleton(X0),X1),X1)
     => in(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l21_zfmisc_1) ).

fof(f29,plain,
    ~ in(sK2,sK1),
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET904+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 14:28:05 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  % (30876)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)
% 0.21/0.51  % (30888)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)
% 0.21/0.51  % (30880)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.51  % (30876)First to succeed.
% 0.21/0.51  % (30876)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Theorem for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (30876)------------------------------
% 0.21/0.51  % (30876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (30876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (30876)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (30876)Memory used [KB]: 5884
% 0.21/0.51  % (30876)Time elapsed: 0.091 s
% 0.21/0.51  % (30876)Instructions burned: 2 (million)
% 0.21/0.51  % (30876)------------------------------
% 0.21/0.51  % (30876)------------------------------
% 0.21/0.51  % (30867)Success in time 0.159 s
%------------------------------------------------------------------------------