TSTP Solution File: SYN065+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN065+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n023.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 : Fri Sep  1 03:37:24 EDT 2023

% Result   : Theorem 0.22s 0.42s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   26 (  13   ~;   7   |;   2   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   29 (;  23   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,plain,
    $false,
    inference(resolution,[],[f23,f14]) ).

fof(f14,plain,
    ! [X1] : ~ big_h(sK0,X1),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X1] : ~ big_h(sK0,X1),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f8]) ).

fof(f8,plain,
    ( ? [X0] :
      ! [X1] : ~ big_h(X0,X1)
   => ! [X1] : ~ big_h(sK0,X1) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ? [X0] :
    ! [X1] : ~ big_h(X0,X1),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ ! [X0] :
      ? [X1] : big_h(X0,X1),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    ! [X0] :
    ? [X1] : big_h(X0,X1),
    file('/export/starexec/sandbox/tmp/tmp.6dBVfhfKJn/Vampire---4.8_20016',pel36) ).

fof(f23,plain,
    ! [X0] : big_h(X0,sK1(sK1(X0))),
    inference(resolution,[],[f21,f15]) ).

fof(f15,plain,
    ! [X0] : big_f(X0,sK1(X0)),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0] : big_f(X0,sK1(X0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f1,f10]) ).

fof(f10,plain,
    ! [X0] :
      ( ? [X1] : big_f(X0,X1)
     => big_f(X0,sK1(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f1,axiom,
    ! [X0] :
    ? [X1] : big_f(X0,X1),
    file('/export/starexec/sandbox/tmp/tmp.6dBVfhfKJn/Vampire---4.8_20016',pel36_1) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ big_f(sK1(X0),X1)
      | big_h(X0,X1) ),
    inference(resolution,[],[f17,f15]) ).

fof(f17,plain,
    ! [X2,X0,X1] :
      ( ~ big_f(X0,X1)
      | ~ big_f(X1,X2)
      | big_h(X0,X2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( big_h(X0,X2)
          | ( ~ big_g(X1,X2)
            & ~ big_f(X1,X2) ) )
      | ( ~ big_g(X0,X1)
        & ~ big_f(X0,X1) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ( big_g(X0,X1)
        | big_f(X0,X1) )
     => ! [X2] :
          ( ( big_g(X1,X2)
            | big_f(X1,X2) )
         => big_h(X0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.6dBVfhfKJn/Vampire---4.8_20016',pel36_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN065+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n023.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 22:11:26 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.6dBVfhfKJn/Vampire---4.8_20016
% 0.15/0.37  % (20239)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (20242)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.42  % (20242)First to succeed.
% 0.22/0.42  % (20242)Refutation found. Thanks to Tanya!
% 0.22/0.42  % SZS status Theorem for Vampire---4
% 0.22/0.42  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.42  % (20242)------------------------------
% 0.22/0.42  % (20242)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42  % (20242)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42  % (20242)Termination reason: Refutation
% 0.22/0.42  
% 0.22/0.42  % (20242)Memory used [KB]: 5373
% 0.22/0.42  % (20242)Time elapsed: 0.003 s
% 0.22/0.42  % (20242)------------------------------
% 0.22/0.42  % (20242)------------------------------
% 0.22/0.42  % (20239)Success in time 0.056 s
% 0.22/0.42  % Vampire---4.8 exiting
%------------------------------------------------------------------------------