%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET987+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 : n024.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 18:22:57 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   7 unt;   0 def)
%            Number of atoms       :   25 (  14 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   22 (  13   ~;   2   |;   1   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f39,plain,
    $false,
    inference(subsumption_resolution,[],[f38,f36]) ).

fof(f36,plain,
    set_difference(sK1,singleton(sK0)) = sK1,
    inference(unit_resulting_resolution,[],[f28,f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | set_difference(X1,singleton(X0)) = X1 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | set_difference(X1,singleton(X0)) = X1 ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X1,X0] :
      ( ~ in(X0,X1)
     => set_difference(X1,singleton(X0)) = X1 ),
    inference(unused_predicate_definition_removal,[],[f14]) ).

fof(f14,plain,
    ! [X1,X0] :
      ( ~ in(X0,X1)
    <=> set_difference(X1,singleton(X0)) = X1 ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X1,X0] :
      ( ~ in(X1,X0)
    <=> set_difference(X0,singleton(X1)) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_zfmisc_1) ).

fof(f28,plain,
    ~ in(sK0,sK1),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ? [X1,X0] :
      ( set_difference(set_union2(X0,singleton(X1)),singleton(X1)) != X0
      & ~ in(X1,X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,plain,
    ~ ! [X0,X1] :
        ( ~ in(X1,X0)
       => set_difference(set_union2(X0,singleton(X1)),singleton(X1)) = X0 ),
    inference(rectify,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ! [X1,X0] :
        ( ~ in(X0,X1)
       => set_difference(set_union2(X1,singleton(X0)),singleton(X0)) = X1 ),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ! [X1,X0] :
      ( ~ in(X0,X1)
     => set_difference(set_union2(X1,singleton(X0)),singleton(X0)) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t141_zfmisc_1) ).

fof(f38,plain,
    set_difference(sK1,singleton(sK0)) != sK1,
    inference(superposition,[],[f29,f26]) ).

fof(f26,plain,
    ! [X0,X1] : set_difference(set_union2(X0,X1),X1) = set_difference(X0,X1),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] : set_difference(set_union2(X0,X1),X1) = set_difference(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_xboole_1) ).

fof(f29,plain,
    sK1 != set_difference(set_union2(sK1,singleton(sK0)),singleton(sK0)),
    inference(cnf_transformation,[],[f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET987+1 : TPTP v8.1.0. Released v3.2.0.
% 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
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:36:19 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (9273)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (9255)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)
% 0.19/0.50  % (9255)First to succeed.
% 0.19/0.51  % (9255)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (9255)------------------------------
% 0.19/0.51  % (9255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (9255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (9255)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (9255)Memory used [KB]: 5884
% 0.19/0.51  % (9255)Time elapsed: 0.104 s
% 0.19/0.51  % (9255)Instructions burned: 2 (million)
% 0.19/0.51  % (9255)------------------------------
% 0.19/0.51  % (9255)------------------------------
% 0.19/0.51  % (9246)Success in time 0.158 s
%------------------------------------------------------------------------------