TSTP Solution File: NUN054+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : NUN054+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% 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 : Mon Jun 24 13:32:41 EDT 2024

% Result   : Theorem 2.33s 0.75s
% Output   : Refutation 2.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   68 (  14 unt;   0 def)
%            Number of atoms       :  263 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  318 ( 123   ~;  94   |;  91   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   0 con; 1-2 aty)
%            Number of variables   :  216 ( 154   !;  62   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f679,plain,
    $false,
    inference(resolution,[],[f671,f77]) ).

fof(f77,plain,
    ! [X0] : r1(sK7(X0)),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( r1(sK6(X0))
      & id(sK5(X0),sK6(X0))
      & r4(X0,sK7(X0),sK5(X0))
      & r1(sK7(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f25,f48,f47,f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( r1(X2)
              & id(X1,X2) )
          & ? [X3] :
              ( r4(X0,X3,X1)
              & r1(X3) ) )
     => ( ? [X2] :
            ( r1(X2)
            & id(sK5(X0),X2) )
        & ? [X3] :
            ( r4(X0,X3,sK5(X0))
            & r1(X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f47,plain,
    ! [X0] :
      ( ? [X2] :
          ( r1(X2)
          & id(sK5(X0),X2) )
     => ( r1(sK6(X0))
        & id(sK5(X0),sK6(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ! [X0] :
      ( ? [X3] :
          ( r4(X0,X3,sK5(X0))
          & r1(X3) )
     => ( r4(X0,sK7(X0),sK5(X0))
        & r1(sK7(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f25,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/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f671,plain,
    ! [X0] : ~ r1(X0),
    inference(resolution,[],[f670,f75]) ).

fof(f75,plain,
    ! [X0] : r1(sK4(X0)),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( r3(X0,sK4(X0),sK3(X0))
      & r1(sK4(X0))
      & id(sK3(X0),X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f24,f44,f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( r3(X0,X2,X1)
              & r1(X2) )
          & id(X1,X0) )
     => ( ? [X2] :
            ( r3(X0,X2,sK3(X0))
            & r1(X2) )
        & id(sK3(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f44,plain,
    ! [X0] :
      ( ? [X2] :
          ( r3(X0,X2,sK3(X0))
          & r1(X2) )
     => ( r3(X0,sK4(X0),sK3(X0))
        & r1(sK4(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
          ( r3(X0,X2,X1)
          & r1(X2) )
      & id(X1,X0) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X53] :
    ? [X54] :
      ( ? [X55] :
          ( r3(X53,X55,X54)
          & r1(X55) )
      & id(X54,X53) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f670,plain,
    ! [X0] :
      ( ~ r1(sK4(X0))
      | ~ r1(X0) ),
    inference(duplicate_literal_removal,[],[f660]) ).

fof(f660,plain,
    ! [X0] :
      ( ~ r1(X0)
      | ~ r1(X0)
      | ~ r1(sK4(X0)) ),
    inference(resolution,[],[f658,f74]) ).

fof(f74,plain,
    ! [X0] : id(sK3(X0),X0),
    inference(cnf_transformation,[],[f45]) ).

fof(f658,plain,
    ! [X0,X1] :
      ( ~ id(sK3(X0),X1)
      | ~ r1(X1)
      | ~ r1(X0)
      | ~ r1(sK4(X0)) ),
    inference(resolution,[],[f650,f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( id(X1,X0)
      | ~ id(X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,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/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f650,plain,
    ! [X0,X1] :
      ( ~ id(X0,sK3(X1))
      | ~ r1(sK4(X1))
      | ~ r1(X0)
      | ~ r1(X1) ),
    inference(resolution,[],[f631,f76]) ).

fof(f76,plain,
    ! [X0] : r3(X0,sK4(X0),sK3(X0)),
    inference(cnf_transformation,[],[f45]) ).

fof(f631,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r3(X0,X2,X3)
      | ~ r1(X1)
      | ~ r1(X2)
      | ~ id(X1,X3)
      | ~ r1(X0) ),
    inference(resolution,[],[f602,f106]) ).

fof(f106,plain,
    ! [X3,X0,X1] :
      ( id(X3,sK18(X0,X1))
      | ~ r3(X0,X1,X3) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1,X3] :
      ( ( ~ id(X3,sK18(X0,X1))
        & ~ r3(X0,X1,X3) )
      | ( r3(X0,X1,X3)
        & id(X3,sK18(X0,X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f34,f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( ~ id(X3,X2)
            & ~ r3(X0,X1,X3) )
          | ( r3(X0,X1,X3)
            & id(X3,X2) ) )
     => ! [X3] :
          ( ( ~ id(X3,sK18(X0,X1))
            & ~ r3(X0,X1,X3) )
          | ( r3(X0,X1,X3)
            & id(X3,sK18(X0,X1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( ~ id(X3,X2)
        & ~ r3(X0,X1,X3) )
      | ( r3(X0,X1,X3)
        & id(X3,X2) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X5,X6] :
    ? [X7] :
    ! [X8] :
      ( ( ~ id(X8,X7)
        & ~ r3(X5,X6,X8) )
      | ( r3(X5,X6,X8)
        & id(X8,X7) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f602,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(X3,sK18(X1,X0))
      | ~ r1(X1)
      | ~ r1(X2)
      | ~ r1(X0)
      | ~ id(X2,X3) ),
    inference(resolution,[],[f593,f110]) ).

fof(f110,plain,
    ! [X2,X0,X1] :
      ( id(X0,X2)
      | ~ id(X1,X2)
      | ~ id(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( ~ id(X1,X2)
      | id(X0,X2)
      | ~ id(X0,X1) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X16,X17,X18] :
      ( ~ id(X17,X18)
      | id(X16,X18)
      | ~ id(X16,X17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f593,plain,
    ! [X2,X0,X1] :
      ( ~ id(X0,sK18(X2,X1))
      | ~ r1(X1)
      | ~ r1(X2)
      | ~ r1(X0) ),
    inference(resolution,[],[f588,f85]) ).

fof(f588,plain,
    ! [X2,X0,X1] :
      ( ~ id(sK18(X1,X2),X0)
      | ~ r1(X0)
      | ~ r1(X2)
      | ~ r1(X1) ),
    inference(resolution,[],[f275,f101]) ).

fof(f101,plain,
    ! [X0,X1] : r3(X0,X1,sK14(X0,X1)),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( r3(X0,X1,sK14(X0,X1))
      & r2(sK14(X0,X1),sK13(X0,X1))
      & r3(X0,sK16(X0,X1),sK15(X0,X1))
      & r2(X1,sK16(X0,X1))
      & id(sK15(X0,X1),sK13(X0,X1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f32,f60,f59,f58,f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( r3(X0,X1,X3)
              & r2(X3,X2) )
          & ? [X4] :
              ( ? [X5] :
                  ( r3(X0,X5,X4)
                  & r2(X1,X5) )
              & id(X4,X2) ) )
     => ( ? [X3] :
            ( r3(X0,X1,X3)
            & r2(X3,sK13(X0,X1)) )
        & ? [X4] :
            ( ? [X5] :
                ( r3(X0,X5,X4)
                & r2(X1,X5) )
            & id(X4,sK13(X0,X1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( r3(X0,X1,X3)
          & r2(X3,sK13(X0,X1)) )
     => ( r3(X0,X1,sK14(X0,X1))
        & r2(sK14(X0,X1),sK13(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( r3(X0,X5,X4)
              & r2(X1,X5) )
          & id(X4,sK13(X0,X1)) )
     => ( ? [X5] :
            ( r3(X0,X5,sK15(X0,X1))
            & r2(X1,X5) )
        & id(sK15(X0,X1),sK13(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( r3(X0,X5,sK15(X0,X1))
          & r2(X1,X5) )
     => ( r3(X0,sK16(X0,X1),sK15(X0,X1))
        & r2(X1,sK16(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( r3(X0,X1,X3)
          & r2(X3,X2) )
      & ? [X4] :
          ( ? [X5] :
              ( r3(X0,X5,X4)
              & r2(X1,X5) )
          & id(X4,X2) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X37,X38] :
    ? [X39] :
      ( ? [X42] :
          ( r3(X37,X38,X42)
          & r2(X42,X39) )
      & ? [X40] :
          ( ? [X41] :
              ( r3(X37,X41,X40)
              & r2(X38,X41) )
          & id(X40,X39) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f275,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r3(X2,X3,sK14(X0,X4))
      | ~ r1(X1)
      | ~ id(sK18(X2,X3),X1)
      | ~ r1(X4)
      | ~ r1(X0) ),
    inference(resolution,[],[f238,f106]) ).

fof(f238,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(sK14(X1,X0),X3)
      | ~ r1(X1)
      | ~ r1(X2)
      | ~ id(X3,X2)
      | ~ r1(X0) ),
    inference(resolution,[],[f235,f110]) ).

fof(f235,plain,
    ! [X2,X0,X1] :
      ( ~ id(sK14(X2,X1),X0)
      | ~ r1(X1)
      | ~ r1(X2)
      | ~ r1(X0) ),
    inference(resolution,[],[f232,f85]) ).

fof(f232,plain,
    ! [X2,X0,X1] :
      ( ~ id(X1,sK14(X0,X2))
      | ~ r1(X1)
      | ~ r1(X2)
      | ~ r1(X0) ),
    inference(resolution,[],[f221,f100]) ).

fof(f100,plain,
    ! [X0,X1] : r2(sK14(X0,X1),sK13(X0,X1)),
    inference(cnf_transformation,[],[f61]) ).

fof(f221,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2(X2,sK13(X1,X3))
      | ~ r1(X1)
      | ~ r1(X0)
      | ~ r1(X3)
      | ~ id(X0,X2) ),
    inference(resolution,[],[f167,f69]) ).

fof(f69,plain,
    ! [X0] : id(X0,X0),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] : id(X0,X0),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X13] : id(X13,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f167,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ id(sK13(X2,X0),X4)
      | ~ r1(X1)
      | ~ r1(X2)
      | ~ r2(X3,X4)
      | ~ r1(X0)
      | ~ id(X1,X3) ),
    inference(resolution,[],[f157,f112]) ).

fof(f112,plain,
    ! [X2,X3,X0,X1] :
      ( r2(X0,X1)
      | ~ r2(X2,X3)
      | ~ id(X1,X3)
      | ~ id(X0,X2) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2,X3] :
      ( ( r2(X2,X3)
        & r2(X0,X1) )
      | ( ~ r2(X2,X3)
        & ~ r2(X0,X1) )
      | ~ id(X1,X3)
      | ~ id(X0,X2) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X21,X22,X23,X24] :
      ( ( r2(X23,X24)
        & r2(X21,X22) )
      | ( ~ r2(X23,X24)
        & ~ r2(X21,X22) )
      | ~ id(X22,X24)
      | ~ id(X21,X23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f157,plain,
    ! [X2,X0,X1] :
      ( ~ r2(X0,sK13(X2,X1))
      | ~ r1(X1)
      | ~ r1(X0)
      | ~ r1(X2) ),
    inference(resolution,[],[f154,f97]) ).

fof(f97,plain,
    ! [X0,X1] : id(sK15(X0,X1),sK13(X0,X1)),
    inference(cnf_transformation,[],[f61]) ).

fof(f154,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(sK15(X0,X1),X2)
      | ~ r1(X3)
      | ~ r1(X1)
      | ~ r2(X3,X2)
      | ~ r1(X0) ),
    inference(resolution,[],[f131,f98]) ).

fof(f98,plain,
    ! [X0,X1] : r2(X1,sK16(X0,X1)),
    inference(cnf_transformation,[],[f61]) ).

fof(f131,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r2(X4,sK16(X1,X2))
      | ~ id(sK15(X1,X2),X3)
      | ~ r1(X0)
      | ~ r1(X4)
      | ~ r2(X0,X3)
      | ~ r1(X1) ),
    inference(resolution,[],[f68,f99]) ).

fof(f99,plain,
    ! [X0,X1] : r3(X0,sK16(X0,X1),sK15(X0,X1)),
    inference(cnf_transformation,[],[f61]) ).

fof(f68,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ r3(X5,X3,X0)
      | ~ r1(X2)
      | ~ id(X0,X1)
      | ~ r2(X4,X3)
      | ~ r1(X4)
      | ~ r2(X2,X1)
      | ~ r1(X5) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ r2(X2,X1)
              | ~ r1(X2) )
          | ~ id(X0,X1) )
      | ! [X3] :
          ( ! [X4] :
              ( ~ r2(X4,X3)
              | ~ r1(X4) )
          | ! [X5] :
              ( ~ r3(X5,X3,X0)
              | ~ r1(X5) ) ) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( r2(X2,X1)
                & r1(X2) )
            & id(X0,X1) )
        & ? [X3] :
            ( ? [X4] :
                ( r2(X4,X3)
                & r1(X4) )
            & ? [X5] :
                ( r3(X5,X3,X0)
                & r1(X5) ) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ? [X62] :
        ( ? [X46] :
            ( ? [X48] :
                ( r2(X48,X46)
                & r1(X48) )
            & id(X62,X46) )
        & ? [X45] :
            ( ? [X40] :
                ( r2(X40,X45)
                & r1(X40) )
            & ? [X39] :
                ( r3(X39,X45,X62)
                & r1(X39) ) ) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ? [X62] :
      ( ? [X46] :
          ( ? [X48] :
              ( r2(X48,X46)
              & r1(X48) )
          & id(X62,X46) )
      & ? [X45] :
          ( ? [X40] :
              ( r2(X40,X45)
              & r1(X40) )
          & ? [X39] :
              ( r3(X39,X45,X62)
              & r1(X39) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15  % Problem    : NUN054+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.08/0.15  % Command    : run_vampire %s %d THM
% 0.15/0.36  % Computer : n028.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Jun 18 21:08:09 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.24/0.38  This is a FOF_THM_RFO_NEQ problem
% 0.24/0.38  Running first-order theorem proving
% 0.24/0.38  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.45  % (15026)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45  % (15030)lrs+21_8:1_to=lpo:sil=2000:sp=frequency:spb=units:s2a=on:s2pl=no:i=103:sd=2:ss=included:fsr=off:fs=off_0 on theBenchmark for (2999ds/103Mi)
% 0.24/0.45  % (15026)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45  % (15031)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=107:ss=axioms:aac=none:br=off:bd=preordered_0 on theBenchmark for (2999ds/107Mi)
% 0.24/0.45  % (15026)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45  % (15028)lrs+1011_4:1_sil=256000:rp=on:newcnf=on:i=257909:aac=none:gsp=on_0 on theBenchmark for (2999ds/257909Mi)
% 0.24/0.45  % (15026)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45  % (15029)dis+1002_1:1_tgt=full:sos=on:rp=on:sac=on:i=258102:ss=axioms:sd=3:cond=fast:add=off:abs=on:fde=none:sil=256000_0 on theBenchmark for (2999ds/258102Mi)
% 0.24/0.45  % (15026)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45  % (15027)lrs+21_1:32_anc=all:to=lpo:sil=256000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:plsql=on:sac=on:newcnf=on:i=222662:add=off:fsr=off:rawr=on_0 on theBenchmark for (2999ds/222662Mi)
% 0.24/0.45  % (15026)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45  % (15032)lrs+10_8:1_to=lpo:drc=encompass:sil=4000:sos=on:urr=on:newcnf=on:i=116:sd=2:nm=2:ss=axioms:sgt=32:sup=off:bd=off_0 on theBenchmark for (2999ds/116Mi)
% 0.24/0.45  % (15026)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45  % (15033)lrs+1011_1:13_sil=2000:tgt=full:sims=off:sp=occurrence:abs=on:newcnf=on:i=104:nm=4:ss=axioms:rawr=on:amm=off_0 on theBenchmark for (2999ds/104Mi)
% 0.24/0.47  % (15027)Refutation not found, incomplete strategy% (15027)------------------------------
% 0.24/0.47  % (15027)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.47  % (15027)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.47  % (15027)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.47  
% 0.24/0.47  % (15027)Memory used [KB]: 1708
% 0.24/0.47  % (15027)Time elapsed: 0.026 s
% 0.24/0.47  % (15027)Instructions burned: 37 (million)
% 0.24/0.47  % (15027)------------------------------
% 0.24/0.47  % (15027)------------------------------
% 0.24/0.49  % (15031)Instruction limit reached!
% 0.24/0.49  % (15031)------------------------------
% 0.24/0.49  % (15031)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.49  % (15031)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.49  % (15031)Termination reason: Time limit
% 0.24/0.49  % (15031)Termination phase: Saturation
% 0.24/0.49  
% 0.24/0.49  % (15031)Memory used [KB]: 2823
% 0.24/0.49  % (15031)Time elapsed: 0.041 s
% 0.24/0.49  % (15031)Instructions burned: 109 (million)
% 0.24/0.51  % (15030)Instruction limit reached!
% 0.24/0.51  % (15030)------------------------------
% 0.24/0.51  % (15030)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.51  % (15030)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.51  % (15030)Termination reason: Time limit
% 0.24/0.51  % (15030)Termination phase: Saturation
% 0.24/0.51  
% 0.24/0.51  % (15030)Memory used [KB]: 2797
% 0.24/0.51  % (15030)Time elapsed: 0.064 s
% 0.24/0.51  % (15030)Instructions burned: 103 (million)
% 0.24/0.51  % (15033)Instruction limit reached!
% 0.24/0.51  % (15033)------------------------------
% 0.24/0.51  % (15033)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.51  % (15033)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.51  % (15033)Termination reason: Time limit
% 0.24/0.51  % (15033)Termination phase: Saturation
% 0.24/0.51  
% 0.24/0.51  % (15033)Memory used [KB]: 1623
% 0.24/0.51  % (15033)Time elapsed: 0.066 s
% 0.24/0.51  % (15033)Instructions burned: 105 (million)
% 0.24/0.52  % (15032)Instruction limit reached!
% 0.24/0.52  % (15032)------------------------------
% 0.24/0.52  % (15032)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.52  % (15032)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.52  % (15032)Termination reason: Time limit
% 0.24/0.52  % (15032)Termination phase: Saturation
% 0.24/0.52  
% 0.24/0.52  % (15032)Memory used [KB]: 2305
% 0.24/0.52  % (15032)Time elapsed: 0.065 s
% 0.24/0.52  % (15032)Instructions burned: 116 (million)
% 0.24/0.52  % (15026)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.52  % (15035)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=319:ss=axioms:sgt=4_0 on theBenchmark for (2999ds/319Mi)
% 1.19/0.56  % (15026)Running in auto input_syntax mode. Trying TPTP
% 1.19/0.56  % (15037)lrs+1002_1:1_sil=16000:sp=occurrence:sos=on:urr=on:i=440:ss=axioms:sgt=10_0 on theBenchmark for (2998ds/440Mi)
% 1.19/0.57  % (15026)Running in auto input_syntax mode. Trying TPTP
% 1.19/0.57  % (15036)ott+1010_1:3_sil=8000:tgt=full:sp=occurrence:urr=on:br=off:nicw=on:i=121:sd=2:ss=axioms:sgt=8:gsp=on_0 on theBenchmark for (2998ds/121Mi)
% 1.19/0.57  % (15026)Running in auto input_syntax mode. Trying TPTP
% 1.19/0.57  % (15038)lrs+1011_1:128_sil=2000:i=230:fsr=off:nwc=2.0_0 on theBenchmark for (2998ds/230Mi)
% 1.19/0.58  % (15026)Running in auto input_syntax mode. Trying TPTP
% 1.19/0.58  % (15034)lrs+2_1:1_sil=4000:plsqc=4:plsq=on:plsqr=2,1:rp=on:i=110:nm=10:fde=unused:ep=RS:slsq=on:slsql=off:slsqr=1,8:erd=off_0 on theBenchmark for (2999ds/110Mi)
% 1.19/0.63  % (15036)Instruction limit reached!
% 1.19/0.63  % (15036)------------------------------
% 1.19/0.63  % (15036)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.19/0.63  % (15036)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.19/0.63  % (15036)Termination reason: Time limit
% 1.19/0.63  % (15036)Termination phase: Saturation
% 1.19/0.63  
% 1.19/0.63  % (15036)Memory used [KB]: 3704
% 1.19/0.63  % (15036)Time elapsed: 0.061 s
% 1.19/0.63  % (15036)Instructions burned: 122 (million)
% 1.52/0.65  % (15034)Instruction limit reached!
% 1.52/0.65  % (15034)------------------------------
% 1.52/0.65  % (15034)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.52/0.65  % (15034)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.52/0.65  % (15034)Termination reason: Time limit
% 1.52/0.65  % (15034)Termination phase: Saturation
% 1.52/0.65  
% 1.52/0.65  % (15034)Memory used [KB]: 1916
% 1.52/0.65  % (15034)Time elapsed: 0.071 s
% 1.52/0.65  % (15034)Instructions burned: 111 (million)
% 1.82/0.68  % (15035)Instruction limit reached!
% 1.82/0.68  % (15035)------------------------------
% 1.82/0.68  % (15035)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.82/0.68  % (15035)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.82/0.68  % (15035)Termination reason: Time limit
% 1.82/0.68  % (15035)Termination phase: Saturation
% 1.82/0.68  
% 1.82/0.68  % (15035)Memory used [KB]: 2816
% 1.82/0.68  % (15035)Time elapsed: 0.158 s
% 1.82/0.68  % (15035)Instructions burned: 319 (million)
% 1.82/0.68  % (15026)Running in auto input_syntax mode. Trying TPTP
% 1.82/0.68  % (15039)dis+2_1:3_sil=8000:nwc=5.0:st=3.0:s2a=on:i=119:s2at=2.5:sd=3:nm=2:ss=axioms_0 on theBenchmark for (2997ds/119Mi)
% 1.82/0.70  % (15038)Instruction limit reached!
% 1.82/0.70  % (15038)------------------------------
% 1.82/0.70  % (15038)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.82/0.70  % (15038)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.82/0.70  % (15038)Termination reason: Time limit
% 1.82/0.70  % (15038)Termination phase: Saturation
% 1.82/0.70  
% 1.82/0.70  % (15038)Memory used [KB]: 2819
% 1.82/0.70  % (15038)Time elapsed: 0.127 s
% 1.82/0.70  % (15038)Instructions burned: 231 (million)
% 1.82/0.70  % (15026)Running in auto input_syntax mode. Trying TPTP
% 1.82/0.70  % (15040)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=113:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on theBenchmark for (2997ds/113Mi)
% 1.82/0.71  % (15037)Instruction limit reached!
% 1.82/0.71  % (15037)------------------------------
% 1.82/0.71  % (15037)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.82/0.71  % (15037)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.82/0.71  % (15037)Termination reason: Time limit
% 1.82/0.71  % (15037)Termination phase: Saturation
% 1.82/0.71  
% 1.82/0.71  % (15037)Memory used [KB]: 4302
% 1.82/0.71  % (15037)Time elapsed: 0.170 s
% 1.82/0.71  % (15037)Instructions burned: 441 (million)
% 1.82/0.74  % (15026)Running in auto input_syntax mode. Trying TPTP
% 1.82/0.74  % (15041)dis-1010_1:4_sil=2000:tgt=ground:i=128:sd=2:nm=6:av=off:gsp=on:ss=axioms:nwc=10.0_0 on theBenchmark for (2997ds/128Mi)
% 1.82/0.74  % (15026)Running in auto input_syntax mode. Trying TPTP
% 1.82/0.74  % (15043)dis+1002_1:128_to=lpo:sil=2000:fd=preordered:i=204:fsr=off:av=off:sos=on:s2a=on_0 on theBenchmark for (2996ds/204Mi)
% 2.33/0.75  % (15039)Instruction limit reached!
% 2.33/0.75  % (15039)------------------------------
% 2.33/0.75  % (15039)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.33/0.75  % (15039)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.33/0.75  % (15039)Termination reason: Time limit
% 2.33/0.75  % (15039)Termination phase: Saturation
% 2.33/0.75  
% 2.33/0.75  % (15039)Memory used [KB]: 2089
% 2.33/0.75  % (15039)Time elapsed: 0.067 s
% 2.33/0.75  % (15039)Instructions burned: 120 (million)
% 2.33/0.75  % (15043)First to succeed.
% 2.33/0.75  % (15043)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15026"
% 2.33/0.75  % (15026)Running in auto input_syntax mode. Trying TPTP
% 2.33/0.75  % (15043)Refutation found. Thanks to Tanya!
% 2.33/0.75  % SZS status Theorem for theBenchmark
% 2.33/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 2.33/0.75  % (15043)------------------------------
% 2.33/0.75  % (15043)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.33/0.75  % (15043)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.33/0.75  % (15043)Termination reason: Refutation
% 2.33/0.75  
% 2.33/0.75  % (15043)Memory used [KB]: 1501
% 2.33/0.75  % (15043)Time elapsed: 0.012 s
% 2.33/0.75  % (15043)Instructions burned: 37 (million)
% 2.33/0.75  % (15043)------------------------------
% 2.33/0.75  % (15043)------------------------------
% 2.33/0.75  % (15026)Success in time 0.356 s
%------------------------------------------------------------------------------