TSTP Solution File: SWV397+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV397+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : 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 : Sat Sep  2 13:04:14 EDT 2023

% Result   : Theorem 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   8 unt;   0 def)
%            Number of atoms       :   28 (   4 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (  10   ~;   2   |;   4   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :   38 (;  30   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f187,plain,
    $false,
    inference(resolution,[],[f182,f110]) ).

fof(f110,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(true_and_false_elimination,[],[f28]) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( ok(triple(X0,X1,bad))
    <=> $false ),
    file('/export/starexec/sandbox/tmp/tmp.0JecJRrODa/Vampire---4.8_29678',ax40) ).

fof(f182,plain,
    ok(triple(sK0,sK1,bad)),
    inference(backward_demodulation,[],[f90,f179]) ).

fof(f179,plain,
    ! [X0,X1] : triple(X0,sK1,bad) = remove_cpq(triple(X0,sK1,X1),sK3),
    inference(resolution,[],[f120,f91]) ).

fof(f91,plain,
    ~ contains_slb(sK1,sK3),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ( ~ contains_slb(sK1,sK3)
    & ok(remove_cpq(triple(sK0,sK1,sK2),sK3)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f52,f80]) ).

fof(f80,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ contains_slb(X1,X3)
        & ok(remove_cpq(triple(X0,X1,X2),X3)) )
   => ( ~ contains_slb(sK1,sK3)
      & ok(remove_cpq(triple(sK0,sK1,sK2),sK3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f52,plain,
    ? [X0,X1,X2,X3] :
      ( ~ contains_slb(X1,X3)
      & ok(remove_cpq(triple(X0,X1,X2),X3)) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ok(remove_cpq(triple(X0,X1,X2),X3))
       => contains_slb(X1,X3) ),
    inference(negated_conjecture,[],[f42]) ).

fof(f42,conjecture,
    ! [X0,X1,X2,X3] :
      ( ok(remove_cpq(triple(X0,X1,X2),X3))
     => contains_slb(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.0JecJRrODa/Vampire---4.8_29678',l33_co) ).

fof(f120,plain,
    ! [X2,X3,X0,X1] :
      ( contains_slb(X1,X3)
      | triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1,X2,X3] :
      ( triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3)
      | contains_slb(X1,X3) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0,X1,X2,X3] :
      ( ~ contains_slb(X1,X3)
     => triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3) ),
    file('/export/starexec/sandbox/tmp/tmp.0JecJRrODa/Vampire---4.8_29678',ax43) ).

fof(f90,plain,
    ok(remove_cpq(triple(sK0,sK1,sK2),sK3)),
    inference(cnf_transformation,[],[f81]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV397+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36  % Computer : n002.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   : Wed Aug 30 17:55:36 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.42  % (29899)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (29945)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.43  % (29943)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.43  % (29944)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.43  % (29947)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.21/0.43  % (29948)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.21/0.43  % (29942)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.43  % (29949)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.21/0.43  % (29948)First to succeed.
% 0.21/0.43  TRYING [1]
% 0.21/0.44  TRYING [2]
% 0.21/0.44  % (29948)Refutation found. Thanks to Tanya!
% 0.21/0.44  % SZS status Theorem for Vampire---4
% 0.21/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.44  % (29948)------------------------------
% 0.21/0.44  % (29948)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44  % (29948)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44  % (29948)Termination reason: Refutation
% 0.21/0.44  
% 0.21/0.44  % (29948)Memory used [KB]: 1023
% 0.21/0.44  % (29948)Time elapsed: 0.007 s
% 0.21/0.44  % (29948)------------------------------
% 0.21/0.44  % (29948)------------------------------
% 0.21/0.44  % (29899)Success in time 0.068 s
% 0.21/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------