TSTP Solution File: NUN087+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUN087+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.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 02:17:22 EDT 2024

% Result   : Theorem 0.58s 0.80s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   42 (  17 unt;   0 def)
%            Number of atoms       :  123 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  127 (  46   ~;  33   |;  44   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   87 (  63   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f513,plain,
    $false,
    inference(subsumption_resolution,[],[f372,f270]) ).

fof(f270,plain,
    ! [X0] : ~ r4(sK3,sK3,sK5(X0)),
    inference(unit_resulting_resolution,[],[f85,f100,f90,f50]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ r4(X2,X2,X0)
      | ~ id(X0,X1)
      | ~ r1(X1)
      | ~ r1(X2) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ r1(X1)
          | ~ id(X0,X1) )
      | ! [X2] :
          ( ~ r4(X2,X2,X0)
          | ~ r1(X2) ) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ? [X0] :
        ( ? [X1] :
            ( r1(X1)
            & id(X0,X1) )
        & ? [X2] :
            ( r4(X2,X2,X0)
            & r1(X2) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ? [X62] :
        ( ? [X46] :
            ( r1(X46)
            & id(X62,X46) )
        & ? [X45] :
            ( r4(X45,X45,X62)
            & r1(X45) ) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ? [X62] :
      ( ? [X46] :
          ( r1(X46)
          & id(X62,X46) )
      & ? [X45] :
          ( r4(X45,X45,X62)
          & r1(X45) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',zerotimeszeroeqzero) ).

fof(f90,plain,
    ! [X0] : id(sK5(X0),sK4(X0)),
    inference(unit_resulting_resolution,[],[f69,f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( id(X1,X0)
      | ~ id(X0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( id(X1,X0)
      | ~ id(X0,X1) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X14,X15] :
      ( id(X15,X14)
      | ~ id(X14,X15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f69,plain,
    ! [X0] : id(sK4(X0),sK5(X0)),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( r1(sK5(X0))
      & id(sK4(X0),sK5(X0))
      & r4(X0,sK6(X0),sK4(X0))
      & r1(sK6(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f28,f41,f40,f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( r1(X2)
              & id(X1,X2) )
          & ? [X3] :
              ( r4(X0,X3,X1)
              & r1(X3) ) )
     => ( ? [X2] :
            ( r1(X2)
            & id(sK4(X0),X2) )
        & ? [X3] :
            ( r4(X0,X3,sK4(X0))
            & r1(X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ! [X0] :
      ( ? [X2] :
          ( r1(X2)
          & id(sK4(X0),X2) )
     => ( r1(sK5(X0))
        & id(sK4(X0),sK5(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ! [X0] :
      ( ? [X3] :
          ( r4(X0,X3,sK4(X0))
          & r1(X3) )
     => ( r4(X0,sK6(X0),sK4(X0))
        & r1(sK6(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f28,plain,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
          ( r1(X2)
          & id(X1,X2) )
      & ? [X3] :
          ( r4(X0,X3,X1)
          & r1(X3) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X56] :
    ? [X57] :
      ( ? [X59] :
          ( r1(X59)
          & id(X57,X59) )
      & ? [X58] :
          ( r4(X56,X58,X57)
          & r1(X58) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5a) ).

fof(f100,plain,
    ! [X0] : r1(sK4(X0)),
    inference(unit_resulting_resolution,[],[f69,f70,f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( r1(X0)
      | ~ r1(X1)
      | ~ id(X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( r1(X1)
        & r1(X0) )
      | ( ~ r1(X1)
        & ~ r1(X0) )
      | ~ id(X0,X1) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X19,X20] :
      ( ( r1(X20)
        & r1(X19) )
      | ( ~ r1(X20)
        & ~ r1(X19) )
      | ~ id(X19,X20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f70,plain,
    ! [X0] : r1(sK5(X0)),
    inference(cnf_transformation,[],[f42]) ).

fof(f85,plain,
    r1(sK3),
    inference(unit_resulting_resolution,[],[f53,f66]) ).

fof(f66,plain,
    ! [X1] :
      ( r1(X1)
      | ~ id(X1,sK3) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X1] :
      ( ( ~ id(X1,sK3)
        & ~ r1(X1) )
      | ( r1(X1)
        & id(X1,sK3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f1,f37]) ).

fof(f37,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( ~ id(X1,X0)
          & ~ r1(X1) )
        | ( r1(X1)
          & id(X1,X0) ) )
   => ! [X1] :
        ( ( ~ id(X1,sK3)
          & ~ r1(X1) )
        | ( r1(X1)
          & id(X1,sK3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( ~ id(X1,X0)
        & ~ r1(X1) )
      | ( r1(X1)
        & id(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f53,plain,
    ! [X0] : id(X0,X0),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0] : id(X0,X0),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X13] : id(X13,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f372,plain,
    ! [X0] : r4(sK3,sK3,sK5(sK4(X0))),
    inference(unit_resulting_resolution,[],[f120,f92,f90,f68,f76]) ).

fof(f76,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( r4(X0,X1,X2)
      | ~ r4(X3,X4,X5)
      | ~ id(X2,X5)
      | ~ id(X1,X4)
      | ~ id(X0,X3) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( r4(X3,X4,X5)
        & r4(X0,X1,X2) )
      | ( ~ r4(X3,X4,X5)
        & ~ r4(X0,X1,X2) )
      | ~ id(X2,X5)
      | ~ id(X1,X4)
      | ~ id(X0,X3) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X31,X32,X33,X34,X35,X36] :
      ( ( r4(X34,X35,X36)
        & r4(X31,X32,X33) )
      | ( ~ r4(X34,X35,X36)
        & ~ r4(X31,X32,X33) )
      | ~ id(X33,X36)
      | ~ id(X32,X35)
      | ~ id(X31,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(f68,plain,
    ! [X0] : r4(X0,sK6(X0),sK4(X0)),
    inference(cnf_transformation,[],[f42]) ).

fof(f92,plain,
    ! [X0] : id(sK3,sK6(X0)),
    inference(unit_resulting_resolution,[],[f83,f52]) ).

fof(f83,plain,
    ! [X0] : id(sK6(X0),sK3),
    inference(unit_resulting_resolution,[],[f67,f63]) ).

fof(f63,plain,
    ! [X1] :
      ( id(X1,sK3)
      | ~ r1(X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f67,plain,
    ! [X0] : r1(sK6(X0)),
    inference(cnf_transformation,[],[f42]) ).

fof(f120,plain,
    ! [X0] : id(sK3,sK4(X0)),
    inference(unit_resulting_resolution,[],[f106,f52]) ).

fof(f106,plain,
    ! [X0] : id(sK4(X0),sK3),
    inference(unit_resulting_resolution,[],[f100,f63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUN087+1 : TPTP v8.2.0. Released v7.3.0.
% 0.11/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n010.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 15:13:37 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.18/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.18/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.80  % (17121)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 (2995ds/34Mi)
% 0.58/0.80  % (17124)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.58/0.80  % (17125)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 (2995ds/34Mi)
% 0.58/0.80  % (17126)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.58/0.80  % (17123)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.58/0.80  % (17122)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 (2995ds/51Mi)
% 0.58/0.80  % (17127)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 (2995ds/83Mi)
% 0.58/0.80  % (17128)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 (2995ds/56Mi)
% 0.58/0.80  % (17124)First to succeed.
% 0.58/0.80  % (17124)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17120"
% 0.58/0.80  % (17127)Also succeeded, but the first one will report.
% 0.58/0.80  % (17124)Refutation found. Thanks to Tanya!
% 0.58/0.80  % SZS status Theorem for theBenchmark
% 0.58/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.80  % (17124)------------------------------
% 0.58/0.80  % (17124)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.80  % (17124)Termination reason: Refutation
% 0.58/0.80  
% 0.58/0.80  % (17124)Memory used [KB]: 1189
% 0.58/0.80  % (17124)Time elapsed: 0.008 s
% 0.58/0.80  % (17124)Instructions burned: 13 (million)
% 0.58/0.80  % (17120)Success in time 0.446 s
% 0.58/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------