TSTP Solution File: RNG101+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : RNG101+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May  5 08:57:14 EDT 2024

% Result   : Theorem 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   4 unt;   0 def)
%            Number of atoms       :   43 (  16 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   37 (   8   ~;   3   |;  24   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   10 (   2   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f293,plain,
    $false,
    inference(resolution,[],[f292,f179]) ).

fof(f179,plain,
    aElement0(sK10),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ( aElement0(xz)
    & aElementOf0(xy,slsdtgt0(xc))
    & xy = sdtasdt0(xc,sK9)
    & aElement0(sK9)
    & aElementOf0(xx,slsdtgt0(xc))
    & xx = sdtasdt0(xc,sK10)
    & aElement0(sK10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f42,f117,f116]) ).

fof(f116,plain,
    ( ? [X0] :
        ( sdtasdt0(xc,X0) = xy
        & aElement0(X0) )
   => ( xy = sdtasdt0(xc,sK9)
      & aElement0(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f117,plain,
    ( ? [X1] :
        ( xx = sdtasdt0(xc,X1)
        & aElement0(X1) )
   => ( xx = sdtasdt0(xc,sK10)
      & aElement0(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ( aElement0(xz)
    & aElementOf0(xy,slsdtgt0(xc))
    & ? [X0] :
        ( sdtasdt0(xc,X0) = xy
        & aElement0(X0) )
    & aElementOf0(xx,slsdtgt0(xc))
    & ? [X1] :
        ( xx = sdtasdt0(xc,X1)
        & aElement0(X1) ) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ( aElement0(xz)
    & aElementOf0(xy,slsdtgt0(xc))
    & ? [X0] :
        ( sdtasdt0(xc,X0) = xy
        & aElement0(X0) )
    & aElementOf0(xx,slsdtgt0(xc))
    & ? [X0] :
        ( sdtasdt0(xc,X0) = xx
        & aElement0(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1933) ).

fof(f292,plain,
    ~ aElement0(sK10),
    inference(trivial_inequality_removal,[],[f291]) ).

fof(f291,plain,
    ( xx != xx
    | ~ aElement0(sK10) ),
    inference(superposition,[],[f177,f180]) ).

fof(f180,plain,
    xx = sdtasdt0(xc,sK10),
    inference(cnf_transformation,[],[f118]) ).

fof(f177,plain,
    ! [X0] :
      ( sdtasdt0(xc,X0) != xx
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( sdtasdt0(xc,X0) != xx
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,negated_conjecture,
    ~ ? [X0] :
        ( sdtasdt0(xc,X0) = xx
        & aElement0(X0) ),
    inference(negated_conjecture,[],[f40]) ).

fof(f40,conjecture,
    ? [X0] :
      ( sdtasdt0(xc,X0) = xx
      & aElement0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : RNG101+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n008.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   : Fri May  3 18:16:23 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  % (22164)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (22168)WARNING: value z3 for option sas not known
% 0.15/0.39  % (22169)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39  % (22166)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39  % (22167)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39  % (22168)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)
% 0.15/0.39  % (22172)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)
% 0.15/0.39  % (22170)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)
% 0.15/0.39  % (22171)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)
% 0.15/0.39  % (22171)First to succeed.
% 0.15/0.39  % (22171)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22164"
% 0.15/0.39  % (22170)Also succeeded, but the first one will report.
% 0.15/0.39  % (22168)Also succeeded, but the first one will report.
% 0.15/0.39  % (22171)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Theorem for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40  % (22171)------------------------------
% 0.15/0.40  % (22171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40  % (22171)Termination reason: Refutation
% 0.15/0.40  
% 0.15/0.40  % (22171)Memory used [KB]: 933
% 0.15/0.40  % (22171)Time elapsed: 0.008 s
% 0.15/0.40  % (22171)Instructions burned: 9 (million)
% 0.15/0.40  % (22164)Success in time 0.025 s
%------------------------------------------------------------------------------