TSTP Solution File: RNG116+4 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : RNG116+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n014.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 : Fri Sep  1 21:59:58 EDT 2023

% Result   : Theorem 0.23s 0.46s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   7 unt;   0 def)
%            Number of atoms       :   59 (  23 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   58 (  19   ~;  11   |;  26   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   15 (;   5   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f700,plain,
    $false,
    inference(resolution,[],[f698,f286]) ).

fof(f286,plain,
    aElement0(sK23),
    inference(cnf_transformation,[],[f163]) ).

fof(f163,plain,
    ( xu = sdtpldt0(xk,xl)
    & aElementOf0(xl,slsdtgt0(xb))
    & xl = sdtasdt0(xb,sK23)
    & aElement0(sK23)
    & aElementOf0(xk,slsdtgt0(xa))
    & xk = sdtasdt0(xa,sK24)
    & aElement0(sK24) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f53,f162,f161]) ).

fof(f161,plain,
    ( ? [X0] :
        ( sdtasdt0(xb,X0) = xl
        & aElement0(X0) )
   => ( xl = sdtasdt0(xb,sK23)
      & aElement0(sK23) ) ),
    introduced(choice_axiom,[]) ).

fof(f162,plain,
    ( ? [X1] :
        ( sdtasdt0(xa,X1) = xk
        & aElement0(X1) )
   => ( xk = sdtasdt0(xa,sK24)
      & aElement0(sK24) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ( xu = sdtpldt0(xk,xl)
    & aElementOf0(xl,slsdtgt0(xb))
    & ? [X0] :
        ( sdtasdt0(xb,X0) = xl
        & aElement0(X0) )
    & aElementOf0(xk,slsdtgt0(xa))
    & ? [X1] :
        ( sdtasdt0(xa,X1) = xk
        & aElement0(X1) ) ),
    inference(rectify,[],[f47]) ).

fof(f47,axiom,
    ( xu = sdtpldt0(xk,xl)
    & aElementOf0(xl,slsdtgt0(xb))
    & ? [X0] :
        ( sdtasdt0(xb,X0) = xl
        & aElement0(X0) )
    & aElementOf0(xk,slsdtgt0(xa))
    & ? [X0] :
        ( sdtasdt0(xa,X0) = xk
        & aElement0(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.cGSeTBdT5c/Vampire---4.8_30651',m__2456) ).

fof(f698,plain,
    ~ aElement0(sK23),
    inference(resolution,[],[f697,f283]) ).

fof(f283,plain,
    aElement0(sK24),
    inference(cnf_transformation,[],[f163]) ).

fof(f697,plain,
    ( ~ aElement0(sK24)
    | ~ aElement0(sK23) ),
    inference(trivial_inequality_removal,[],[f696]) ).

fof(f696,plain,
    ( xu != xu
    | ~ aElement0(sK23)
    | ~ aElement0(sK24) ),
    inference(forward_demodulation,[],[f695,f289]) ).

fof(f289,plain,
    xu = sdtpldt0(xk,xl),
    inference(cnf_transformation,[],[f163]) ).

fof(f695,plain,
    ( xu != sdtpldt0(xk,xl)
    | ~ aElement0(sK23)
    | ~ aElement0(sK24) ),
    inference(superposition,[],[f665,f287]) ).

fof(f287,plain,
    xl = sdtasdt0(xb,sK23),
    inference(cnf_transformation,[],[f163]) ).

fof(f665,plain,
    ! [X4] :
      ( xu != sdtpldt0(xk,sdtasdt0(xb,X4))
      | ~ aElement0(X4)
      | ~ aElement0(sK24) ),
    inference(superposition,[],[f233,f284]) ).

fof(f284,plain,
    xk = sdtasdt0(xa,sK24),
    inference(cnf_transformation,[],[f163]) ).

fof(f233,plain,
    ! [X0,X1] :
      ( xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,negated_conjecture,
    ~ ? [X0,X1] :
        ( xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
        & aElement0(X1)
        & aElement0(X0) ),
    inference(negated_conjecture,[],[f48]) ).

fof(f48,conjecture,
    ? [X0,X1] :
      ( xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
      & aElement0(X1)
      & aElement0(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.cGSeTBdT5c/Vampire---4.8_30651',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : RNG116+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37  % Computer : n014.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Wed Aug 30 16:02:14 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.43  % (30833)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43  % (30836)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 Vampire---4 for (569ds/0Mi)
% 0.23/0.43  % (30834)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.43  % (30835)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.43  % (30837)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.43  % (30840)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 Vampire---4 for (522ds/0Mi)
% 0.23/0.43  % (30838)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 Vampire---4 for (531ds/0Mi)
% 0.23/0.44  % (30843)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 Vampire---4 for (497ds/0Mi)
% 0.23/0.45  TRYING [1]
% 0.23/0.45  TRYING [1]
% 0.23/0.45  TRYING [2]
% 0.23/0.45  TRYING [2]
% 0.23/0.45  % (30840)First to succeed.
% 0.23/0.46  % (30840)Refutation found. Thanks to Tanya!
% 0.23/0.46  % SZS status Theorem for Vampire---4
% 0.23/0.46  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.46  % (30840)------------------------------
% 0.23/0.46  % (30840)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46  % (30840)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46  % (30840)Termination reason: Refutation
% 0.23/0.46  
% 0.23/0.46  % (30840)Memory used [KB]: 1663
% 0.23/0.46  % (30840)Time elapsed: 0.021 s
% 0.23/0.46  % (30840)------------------------------
% 0.23/0.46  % (30840)------------------------------
% 0.23/0.46  % (30833)Success in time 0.082 s
% 0.23/0.46  30836 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.cGSeTBdT5c/Vampire---4.8_30651
% 0.23/0.46  % (30836)------------------------------
% 0.23/0.46  % (30836)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46  % (30836)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46  % (30836)Termination reason: Unknown
% 0.23/0.46  % (30836)Termination phase: Saturation
% 0.23/0.46  
% 0.23/0.46  % (30836)Memory used [KB]: 5628
% 0.23/0.46  % (30836)Time elapsed: 0.025 s
% 0.23/0.46  % (30836)------------------------------
% 0.23/0.46  % (30836)------------------------------
% 0.23/0.46  % Vampire---4.8 exiting
%------------------------------------------------------------------------------