TSTP Solution File: ITP010+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP010+2 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.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 : Mon May 20 22:30:33 EDT 2024

% Result   : Theorem 0.49s 0.68s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    7 (   3 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   31 (  11   ~;   0   |;   4   &)
%                                         (   3 <=>;  12  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (  12   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f155,plain,
    $false,
    inference(subsumption_resolution,[],[f81,f82]) ).

fof(f82,plain,
    p(ap(ap(c_2Ecardinal_2Ecardleq(sK0,sK1),sK2),sK3)),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3))
                  <~> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3)) )
                  & mem(X3,arr(X1,bool)) )
              & mem(X2,arr(X0,bool)) )
          & ne(X1) )
      & ne(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ~ ! [X0] :
        ( ne(X0)
       => ! [X1] :
            ( ne(X1)
           => ! [X2] :
                ( mem(X2,arr(X0,bool))
               => ! [X3] :
                    ( mem(X3,arr(X1,bool))
                   => ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3))
                    <=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3)) ) ) ) ) ),
    inference(rectify,[],[f42]) ).

fof(f42,negated_conjecture,
    ~ ! [X8] :
        ( ne(X8)
       => ! [X9] :
            ( ne(X9)
           => ! [X13] :
                ( mem(X13,arr(X8,bool))
               => ! [X14] :
                    ( mem(X14,arr(X9,bool))
                   => ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X8,X9),X13),X14))
                    <=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X8,X9),X13),X14)) ) ) ) ) ),
    inference(negated_conjecture,[],[f41]) ).

fof(f41,conjecture,
    ! [X8] :
      ( ne(X8)
     => ! [X9] :
          ( ne(X9)
         => ! [X13] :
              ( mem(X13,arr(X8,bool))
             => ! [X14] :
                  ( mem(X14,arr(X9,bool))
                 => ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X8,X9),X13),X14))
                  <=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X8,X9),X13),X14)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ecardinal_2ECARD__NOT__LE) ).

fof(f81,plain,
    ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK0,sK1),sK2),sK3)),
    inference(cnf_transformation,[],[f58]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : ITP010+2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.10/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n008.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   : Sat May 18 16:48:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.68  % (1437)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.49/0.68  % (1430)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.49/0.68  % (1434)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.49/0.68  % (1432)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.49/0.68  % (1431)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.49/0.68  % (1435)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.49/0.68  % (1436)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.49/0.68  % (1438)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.49/0.68  % (1437)First to succeed.
% 0.49/0.68  % (1437)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1276"
% 0.49/0.68  vampire: malloc.c:2617: sysmalloc: Assertion `(old_top == initial_top (av) && old_size == 0) || ((unsigned long) (old_size) >= MINSIZE && prev_inuse (old_top) && ((unsigned long) old_end & (pagesize - 1)) == 0)' failed.
% 0.49/0.68  1435 Aborted by signal SIGABRT on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.68  % (1435)------------------------------
% 0.49/0.68  % (1435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.68  % (1435)Termination reason: Unknown
% 0.49/0.68  % (1437)Refutation found. Thanks to Tanya!
% 0.49/0.68  % SZS status Theorem for theBenchmark
% 0.49/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 0.49/0.68  % (1437)------------------------------
% 0.49/0.68  % (1437)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.68  % (1437)Termination reason: Refutation
% 0.49/0.68  
% 0.49/0.68  % (1437)Memory used [KB]: 1109
% 0.49/0.68  % (1437)Time elapsed: 0.003 s
% 0.49/0.68  % (1437)Instructions burned: 5 (million)
% 0.49/0.68  % (1276)Success in time 0.323 s
% 0.49/0.68  % (1435)Termination phase: Preprocessing 3
% 0.49/0.68  
% 0.49/0.68  % (1435)Memory used [KB]: 1075
% 0.49/0.68  % (1435)Time elapsed: 0.003 s
% 0.49/0.68  % (1435)Instructions burned: 3 (million)
% 0.49/0.68  % (1435)------------------------------
% 0.49/0.68  % (1435)------------------------------
% 0.49/0.68  Version : Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
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% 0.49/0.68                                               ???
% 0.49/0.68  % Vampire---4.8 exiting
%------------------------------------------------------------------------------