TSTP Solution File: SWV386+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV386+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.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 : Sun May  5 10:51:37 EDT 2024

% Result   : Theorem 0.17s 0.34s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   35 (  16   ~;   4   |;  10   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   30 (  20   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f161,plain,
    $false,
    inference(resolution,[],[f160,f94]) ).

fof(f94,plain,
    ~ check_cpq(triple(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ( ok(insert_cpq(triple(sK0,sK1,sK2),sK3))
    & check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3))
    & ~ check_cpq(triple(sK0,sK1,sK2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f54,f86,f85]) ).

fof(f85,plain,
    ( ? [X0,X1,X2] :
        ( ? [X3] :
            ( ok(insert_cpq(triple(X0,X1,X2),X3))
            & check_cpq(insert_cpq(triple(X0,X1,X2),X3)) )
        & ~ check_cpq(triple(X0,X1,X2)) )
   => ( ? [X3] :
          ( ok(insert_cpq(triple(sK0,sK1,sK2),X3))
          & check_cpq(insert_cpq(triple(sK0,sK1,sK2),X3)) )
      & ~ check_cpq(triple(sK0,sK1,sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f86,plain,
    ( ? [X3] :
        ( ok(insert_cpq(triple(sK0,sK1,sK2),X3))
        & check_cpq(insert_cpq(triple(sK0,sK1,sK2),X3)) )
   => ( ok(insert_cpq(triple(sK0,sK1,sK2),sK3))
      & check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f54,plain,
    ? [X0,X1,X2] :
      ( ? [X3] :
          ( ok(insert_cpq(triple(X0,X1,X2),X3))
          & check_cpq(insert_cpq(triple(X0,X1,X2),X3)) )
      & ~ check_cpq(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ~ check_cpq(triple(X0,X1,X2))
       => ! [X3] :
            ( ~ ok(insert_cpq(triple(X0,X1,X2),X3))
            | ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3)) ) ),
    inference(negated_conjecture,[],[f43]) ).

fof(f43,conjecture,
    ! [X0,X1,X2] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ! [X3] :
          ( ~ ok(insert_cpq(triple(X0,X1,X2),X3))
          | ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l22_co) ).

fof(f160,plain,
    check_cpq(triple(sK0,sK1,sK2)),
    inference(resolution,[],[f97,f95]) ).

fof(f95,plain,
    check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3)),
    inference(cnf_transformation,[],[f87]) ).

fof(f97,plain,
    ! [X2,X3,X0,X1] :
      ( ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0,X1,X2] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ! [X3] : ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l22_l26) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SWV386+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31  % Computer : n028.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri May  3 21:10:53 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.17/0.31  % (6989)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.33  % (6992)WARNING: value z3 for option sas not known
% 0.17/0.33  % (6991)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.33  % (6990)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.33  % (6995)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 theBenchmark for (522ds/0Mi)
% 0.17/0.33  % (6993)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.33  % (6994)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 theBenchmark for (531ds/0Mi)
% 0.17/0.33  % (6992)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 theBenchmark for (569ds/0Mi)
% 0.17/0.33  % (6996)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 theBenchmark for (497ds/0Mi)
% 0.17/0.33  % (6995)First to succeed.
% 0.17/0.33  % (6995)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6989"
% 0.17/0.34  % (6994)Also succeeded, but the first one will report.
% 0.17/0.34  % (6992)Also succeeded, but the first one will report.
% 0.17/0.34  % (6995)Refutation found. Thanks to Tanya!
% 0.17/0.34  % SZS status Theorem for theBenchmark
% 0.17/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.34  % (6995)------------------------------
% 0.17/0.34  % (6995)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.34  % (6995)Termination reason: Refutation
% 0.17/0.34  
% 0.17/0.34  % (6995)Memory used [KB]: 949
% 0.17/0.34  % (6995)Time elapsed: 0.005 s
% 0.17/0.34  % (6995)Instructions burned: 7 (million)
% 0.17/0.34  % (6989)Success in time 0.021 s
%------------------------------------------------------------------------------