TSTP Solution File: SWV397+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV397+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : 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 : Wed Aug 31 18:45:27 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (   8 unt;   0 def)
%            Number of atoms       :   36 (   6 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   28 (  13   ~;   3   |;   5   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 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   :   54 (  42   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f76,plain,
    $false,
    inference(subsumption_resolution,[],[f75,f67]) ).

fof(f67,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(flattening,[],[f47]) ).

fof(f47,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/sandbox2/benchmark/theBenchmark.p',ax40) ).

fof(f75,plain,
    ok(triple(sK1,sK0,bad)),
    inference(backward_demodulation,[],[f63,f73]) ).

fof(f73,plain,
    ! [X0,X1] : triple(X0,sK0,bad) = remove_cpq(triple(X0,sK0,X1),sK2),
    inference(resolution,[],[f68,f62]) ).

fof(f62,plain,
    ~ contains_slb(sK0,sK2),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ( ok(remove_cpq(triple(sK1,sK0,sK3),sK2))
    & ~ contains_slb(sK0,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f54,f55]) ).

fof(f55,plain,
    ( ? [X0,X1,X2,X3] :
        ( ok(remove_cpq(triple(X1,X0,X3),X2))
        & ~ contains_slb(X0,X2) )
   => ( ok(remove_cpq(triple(sK1,sK0,sK3),sK2))
      & ~ contains_slb(sK0,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f54,plain,
    ? [X0,X1,X2,X3] :
      ( ok(remove_cpq(triple(X1,X0,X3),X2))
      & ~ contains_slb(X0,X2) ),
    inference(rectify,[],[f50]) ).

fof(f50,plain,
    ? [X3,X0,X2,X1] :
      ( ok(remove_cpq(triple(X0,X3,X1),X2))
      & ~ contains_slb(X3,X2) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ~ ! [X2,X0,X3,X1] :
        ( ok(remove_cpq(triple(X0,X3,X1),X2))
       => contains_slb(X3,X2) ),
    inference(rectify,[],[f43]) ).

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

fof(f42,conjecture,
    ! [X0,X2,X3,X1] :
      ( ok(remove_cpq(triple(X0,X1,X2),X3))
     => contains_slb(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l33_co) ).

fof(f68,plain,
    ! [X2,X3,X0,X1] :
      ( contains_slb(X0,X2)
      | remove_cpq(triple(X3,X0,X1),X2) = triple(X3,X0,bad) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1,X2,X3] :
      ( remove_cpq(triple(X3,X0,X1),X2) = triple(X3,X0,bad)
      | contains_slb(X0,X2) ),
    inference(rectify,[],[f51]) ).

fof(f51,plain,
    ! [X3,X1,X0,X2] :
      ( remove_cpq(triple(X2,X3,X1),X0) = triple(X2,X3,bad)
      | contains_slb(X3,X0) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X1,X2,X3,X0] :
      ( ~ contains_slb(X3,X0)
     => remove_cpq(triple(X2,X3,X1),X0) = triple(X2,X3,bad) ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X3,X2,X0,X1] :
      ( ~ contains_slb(X1,X3)
     => triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).

fof(f63,plain,
    ok(remove_cpq(triple(sK1,sK0,sK3),sK2)),
    inference(cnf_transformation,[],[f56]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV397+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n002.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 19:34:29 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.47  % (9852)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.48  % (9875)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.48  % (9852)First to succeed.
% 0.19/0.48  % (9860)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)
% 0.19/0.49  % (9852)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (9852)------------------------------
% 0.19/0.49  % (9852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (9852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (9852)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (9852)Memory used [KB]: 6012
% 0.19/0.49  % (9852)Time elapsed: 0.095 s
% 0.19/0.49  % (9852)Instructions burned: 2 (million)
% 0.19/0.49  % (9852)------------------------------
% 0.19/0.49  % (9852)------------------------------
% 0.19/0.49  % (9847)Success in time 0.145 s
%------------------------------------------------------------------------------