TSTP Solution File: SWV388+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV388+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n018.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 : Tue May 21 06:18:27 EDT 2024

% Result   : Theorem 0.27s 0.43s
% Output   : Refutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   35 (  17   ~;   4   |;  10   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-3 aty)
%            Number of variables   :   24 (  15   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f159,plain,
    $false,
    inference(resolution,[],[f157,f94]) ).

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

fof(f87,plain,
    ( ok(findmin_cpq_eff(triple(sK0,sK1,sK2)))
    & check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)))
    & ~ check_cpq(triple(sK0,sK1,sK2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f55,f86]) ).

fof(f86,plain,
    ( ? [X0,X1,X2] :
        ( ok(findmin_cpq_eff(triple(X0,X1,X2)))
        & check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
        & ~ check_cpq(triple(X0,X1,X2)) )
   => ( ok(findmin_cpq_eff(triple(sK0,sK1,sK2)))
      & check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)))
      & ~ check_cpq(triple(sK0,sK1,sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f55,plain,
    ? [X0,X1,X2] :
      ( ok(findmin_cpq_eff(triple(X0,X1,X2)))
      & check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
      & ~ check_cpq(triple(X0,X1,X2)) ),
    inference(flattening,[],[f54]) ).

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

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

fof(f43,conjecture,
    ! [X0,X1,X2] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ( ~ ok(findmin_cpq_eff(triple(X0,X1,X2)))
        | ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l24_co) ).

fof(f157,plain,
    check_cpq(triple(sK0,sK1,sK2)),
    inference(resolution,[],[f97,f95]) ).

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

fof(f97,plain,
    ! [X2,X0,X1] :
      ( ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1,X2] :
      ( ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0,X1,X2] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l24_l34) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SWV388+1 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.16  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.17/0.40  % Computer : n018.cluster.edu
% 0.17/0.40  % Model    : x86_64 x86_64
% 0.17/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.40  % Memory   : 8042.1875MB
% 0.17/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.40  % CPULimit   : 300
% 0.17/0.40  % WCLimit    : 300
% 0.17/0.40  % DateTime   : Sun May 19 06:42:08 EDT 2024
% 0.17/0.40  % CPUTime    : 
% 0.27/0.41  % (14159)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.42  % (14162)WARNING: value z3 for option sas not known
% 0.27/0.42  % (14160)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.27/0.42  % (14165)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)
% 0.27/0.42  % (14163)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.27/0.42  % (14164)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)
% 0.27/0.42  % (14161)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.27/0.42  % (14166)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)
% 0.27/0.42  % (14162)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)
% 0.27/0.43  % (14165)First to succeed.
% 0.27/0.43  % (14165)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14159"
% 0.27/0.43  % (14164)Also succeeded, but the first one will report.
% 0.27/0.43  % (14162)Also succeeded, but the first one will report.
% 0.27/0.43  % (14165)Refutation found. Thanks to Tanya!
% 0.27/0.43  % SZS status Theorem for theBenchmark
% 0.27/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.43  % (14165)------------------------------
% 0.27/0.43  % (14165)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.27/0.43  % (14165)Termination reason: Refutation
% 0.27/0.43  
% 0.27/0.43  % (14165)Memory used [KB]: 900
% 0.27/0.43  % (14165)Time elapsed: 0.006 s
% 0.27/0.43  % (14165)Instructions burned: 7 (million)
% 0.27/0.43  % (14159)Success in time 0.024 s
%------------------------------------------------------------------------------