TSTP Solution File: SWV369+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV369+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 : n016.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 10:51:34 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :   44 (   2 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   40 (  16   ~;  14   |;   5   &)
%                                         (   3 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :   35 (  26   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f209,plain,
    $false,
    inference(resolution,[],[f208,f133]) ).

fof(f133,plain,
    ! [X0] : ~ contains_pq(create_pq,X0),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] : ~ contains_pq(create_pq,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

fof(f208,plain,
    contains_pq(create_pq,sK2),
    inference(resolution,[],[f207,f134]) ).

fof(f134,plain,
    ! [X0] : ~ contains_slb(create_slb,X0),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] : ~ contains_slb(create_slb,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f207,plain,
    ( contains_slb(create_slb,sK2)
    | contains_pq(create_pq,sK2) ),
    inference(resolution,[],[f183,f200]) ).

fof(f200,plain,
    ( contains_cpq(triple(sK0,create_slb,sK1),sK2)
    | contains_pq(create_pq,sK2) ),
    inference(backward_demodulation,[],[f129,f145]) ).

fof(f145,plain,
    ! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,axiom,
    ! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).

fof(f129,plain,
    ( contains_pq(i(triple(sK0,create_slb,sK1)),sK2)
    | contains_cpq(triple(sK0,create_slb,sK1),sK2) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ( ( ~ contains_pq(i(triple(sK0,create_slb,sK1)),sK2)
      | ~ contains_cpq(triple(sK0,create_slb,sK1),sK2) )
    & ( contains_pq(i(triple(sK0,create_slb,sK1)),sK2)
      | contains_cpq(triple(sK0,create_slb,sK1),sK2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f116,f117]) ).

fof(f117,plain,
    ( ? [X0,X1,X2] :
        ( ( ~ contains_pq(i(triple(X0,create_slb,X1)),X2)
          | ~ contains_cpq(triple(X0,create_slb,X1),X2) )
        & ( contains_pq(i(triple(X0,create_slb,X1)),X2)
          | contains_cpq(triple(X0,create_slb,X1),X2) ) )
   => ( ( ~ contains_pq(i(triple(sK0,create_slb,sK1)),sK2)
        | ~ contains_cpq(triple(sK0,create_slb,sK1),sK2) )
      & ( contains_pq(i(triple(sK0,create_slb,sK1)),sK2)
        | contains_cpq(triple(sK0,create_slb,sK1),sK2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f116,plain,
    ? [X0,X1,X2] :
      ( ( ~ contains_pq(i(triple(X0,create_slb,X1)),X2)
        | ~ contains_cpq(triple(X0,create_slb,X1),X2) )
      & ( contains_pq(i(triple(X0,create_slb,X1)),X2)
        | contains_cpq(triple(X0,create_slb,X1),X2) ) ),
    inference(nnf_transformation,[],[f75]) ).

fof(f75,plain,
    ? [X0,X1,X2] :
      ( contains_cpq(triple(X0,create_slb,X1),X2)
    <~> contains_pq(i(triple(X0,create_slb,X1)),X2) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( contains_cpq(triple(X0,create_slb,X1),X2)
      <=> contains_pq(i(triple(X0,create_slb,X1)),X2) ),
    inference(negated_conjecture,[],[f63]) ).

fof(f63,conjecture,
    ! [X0,X1,X2] :
      ( contains_cpq(triple(X0,create_slb,X1),X2)
    <=> contains_pq(i(triple(X0,create_slb,X1)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l5_co) ).

fof(f183,plain,
    ! [X2,X3,X0,X1] :
      ( ~ contains_cpq(triple(X0,X1,X2),X3)
      | contains_slb(X1,X3) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3] :
      ( ( contains_cpq(triple(X0,X1,X2),X3)
        | ~ contains_slb(X1,X3) )
      & ( contains_slb(X1,X3)
        | ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ! [X0,X1,X2,X3] :
      ( contains_cpq(triple(X0,X1,X2),X3)
    <=> contains_slb(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : SWV369+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 21:14:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (1853)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (1855)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (1856)WARNING: value z3 for option sas not known
% 0.13/0.37  % (1858)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)
% 0.13/0.37  % (1860)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)
% 0.13/0.37  % (1859)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)
% 0.13/0.37  % (1857)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (1856)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)
% 0.13/0.37  % (1854)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (1859)First to succeed.
% 0.13/0.37  % (1859)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1853"
% 0.13/0.37  % (1856)Also succeeded, but the first one will report.
% 0.13/0.37  % (1859)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (1859)------------------------------
% 0.13/0.37  % (1859)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37  % (1859)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (1859)Memory used [KB]: 1015
% 0.13/0.37  % (1859)Time elapsed: 0.005 s
% 0.13/0.37  % (1859)Instructions burned: 9 (million)
% 0.13/0.37  % (1853)Success in time 0.023 s
%------------------------------------------------------------------------------