TSTP Solution File: RNG125+4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG125+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n027.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 : Wed Aug 31 18:15:57 EDT 2022

% Result   : Theorem 1.49s 0.58s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (   3 unt;   3 typ;   0 def)
%            Number of atoms       :   77 (  20 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   93 (  36   ~;  21   |;  34   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (   6   !;  10   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_18,type,
    sQ48_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_19,type,
    sQ49_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_20,type,
    sQ50_eqProxy: ( $real * $real ) > $o ).

fof(f739,plain,
    $false,
    inference(sat_instgen_refutation,[],[f248,f382,f285,f289]) ).

fof(f289,plain,
    ( ~ doDivides0(xu,xb)
    | sP0 ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ( ~ doDivides0(xu,xb)
      & ~ aDivisorOf0(xu,xb)
      & ! [X0] :
          ( ~ aElement0(X0)
          | xb != sdtasdt0(xu,X0) ) )
    | sP0 ),
    inference(definition_folding,[],[f90,f134]) ).

fof(f134,plain,
    ( ( ! [X1] :
          ( ~ aElement0(X1)
          | xa != sdtasdt0(xu,X1) )
      & ~ doDivides0(xu,xa)
      & ~ aDivisorOf0(xu,xa) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f90,plain,
    ( ( ~ doDivides0(xu,xb)
      & ~ aDivisorOf0(xu,xb)
      & ! [X0] :
          ( ~ aElement0(X0)
          | xb != sdtasdt0(xu,X0) ) )
    | ( ! [X1] :
          ( ~ aElement0(X1)
          | xa != sdtasdt0(xu,X1) )
      & ~ doDivides0(xu,xa)
      & ~ aDivisorOf0(xu,xa) ) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ~ ( ( ? [X1] :
            ( aElement0(X1)
            & xa = sdtasdt0(xu,X1) )
        | aDivisorOf0(xu,xa)
        | doDivides0(xu,xa) )
      & ( aDivisorOf0(xu,xb)
        | ? [X0] :
            ( xb = sdtasdt0(xu,X0)
            & aElement0(X0) )
        | doDivides0(xu,xb) ) ),
    inference(rectify,[],[f46]) ).

fof(f46,axiom,
    ~ ( ( aDivisorOf0(xu,xb)
        | ? [X0] :
            ( xb = sdtasdt0(xu,X0)
            & aElement0(X0) )
        | doDivides0(xu,xb) )
      & ( doDivides0(xu,xa)
        | ? [X0] :
            ( xa = sdtasdt0(xu,X0)
            & aElement0(X0) )
        | aDivisorOf0(xu,xa) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2383) ).

fof(f285,plain,
    ( ~ sP0
    | ~ doDivides0(xu,xa) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ( ( ! [X0] :
          ( ~ aElement0(X0)
          | xa != sdtasdt0(xu,X0) )
      & ~ doDivides0(xu,xa)
      & ~ aDivisorOf0(xu,xa) )
    | ~ sP0 ),
    inference(rectify,[],[f168]) ).

fof(f168,plain,
    ( ( ! [X1] :
          ( ~ aElement0(X1)
          | xa != sdtasdt0(xu,X1) )
      & ~ doDivides0(xu,xa)
      & ~ aDivisorOf0(xu,xa) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f134]) ).

fof(f382,plain,
    doDivides0(xu,xa),
    inference(cnf_transformation,[],[f219]) ).

fof(f219,plain,
    ( doDivides0(xu,xa)
    & aElement0(sK36)
    & xa = sdtasdt0(xu,sK36) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f63,f218]) ).

fof(f218,plain,
    ( ? [X0] :
        ( aElement0(X0)
        & xa = sdtasdt0(xu,X0) )
   => ( aElement0(sK36)
      & xa = sdtasdt0(xu,sK36) ) ),
    introduced(choice_axiom,[]) ).

fof(f63,plain,
    ( doDivides0(xu,xa)
    & ? [X0] :
        ( aElement0(X0)
        & xa = sdtasdt0(xu,X0) ) ),
    inference(flattening,[],[f48]) ).

fof(f48,axiom,
    ~ ~ ( doDivides0(xu,xa)
        & ? [X0] :
            ( aElement0(X0)
            & xa = sdtasdt0(xu,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2479) ).

fof(f248,plain,
    doDivides0(xu,xb),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ( aElement0(sK5)
    & xb = sdtasdt0(xu,sK5)
    & doDivides0(xu,xb) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f67,f143]) ).

fof(f143,plain,
    ( ? [X0] :
        ( aElement0(X0)
        & xb = sdtasdt0(xu,X0) )
   => ( aElement0(sK5)
      & xb = sdtasdt0(xu,sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ( ? [X0] :
        ( aElement0(X0)
        & xb = sdtasdt0(xu,X0) )
    & doDivides0(xu,xb) ),
    inference(flattening,[],[f49]) ).

fof(f49,axiom,
    ~ ~ ( ? [X0] :
            ( aElement0(X0)
            & xb = sdtasdt0(xu,X0) )
        & doDivides0(xu,xb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2612) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : RNG125+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 12:30:46 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.54  % (13095)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55  % (13104)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.55  % (13087)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (13096)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.56  % (13095)First to succeed.
% 0.19/0.56  % (13088)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.49/0.57  % (13103)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.49/0.57  % (13104)Also succeeded, but the first one will report.
% 1.49/0.57  % (13088)Instruction limit reached!
% 1.49/0.57  % (13088)------------------------------
% 1.49/0.57  % (13088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.57  % (13088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.57  % (13088)Termination reason: Unknown
% 1.49/0.57  % (13088)Termination phase: Saturation
% 1.49/0.57  
% 1.49/0.57  % (13088)Memory used [KB]: 1151
% 1.49/0.57  % (13088)Time elapsed: 0.011 s
% 1.49/0.57  % (13088)Instructions burned: 7 (million)
% 1.49/0.57  % (13088)------------------------------
% 1.49/0.57  % (13088)------------------------------
% 1.49/0.58  % (13095)Refutation found. Thanks to Tanya!
% 1.49/0.58  % SZS status Theorem for theBenchmark
% 1.49/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.58  % (13095)------------------------------
% 1.49/0.58  % (13095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.58  % (13095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.58  % (13095)Termination reason: Refutation
% 1.49/0.58  
% 1.49/0.58  % (13095)Memory used [KB]: 6268
% 1.49/0.58  % (13095)Time elapsed: 0.013 s
% 1.49/0.58  % (13095)Instructions burned: 12 (million)
% 1.49/0.58  % (13095)------------------------------
% 1.49/0.58  % (13095)------------------------------
% 1.49/0.58  % (13080)Success in time 0.225 s
%------------------------------------------------------------------------------