TSTP Solution File: NUM615+3 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM615+3 : 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 : n009.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 Apr 30 14:35:40 EDT 2024

% Result   : Theorem 0.10s 0.29s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   28 (  13 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   26 (  10   ~;   6   |;   9   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   2   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1103,plain,
    $false,
    inference(resolution,[],[f1102,f862]) ).

fof(f862,plain,
    aElementOf0(sK76,sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(cnf_transformation,[],[f483]) ).

fof(f483,plain,
    ( xp = sdtlpdtrp0(xe,sK76)
    & aElementOf0(sK76,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK76])],[f106,f482]) ).

fof(f482,plain,
    ( ? [X0] :
        ( sdtlpdtrp0(xe,X0) = xp
        & aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
   => ( xp = sdtlpdtrp0(xe,sK76)
      & aElementOf0(sK76,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
    introduced(choice_axiom,[]) ).

fof(f106,axiom,
    ? [X0] :
      ( sdtlpdtrp0(xe,X0) = xp
      & aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5182) ).

fof(f1102,plain,
    ~ aElementOf0(sK76,sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(trivial_inequality_removal,[],[f1101]) ).

fof(f1101,plain,
    ( xp != xp
    | ~ aElementOf0(sK76,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(superposition,[],[f569,f863]) ).

fof(f863,plain,
    xp = sdtlpdtrp0(xe,sK76),
    inference(cnf_transformation,[],[f483]) ).

fof(f569,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,X0) != xp
      | ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,X0) != xp
      | ( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & ( sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
          | ~ aElementOf0(X0,szDzozmdt0(xd)) ) ) ),
    inference(ennf_transformation,[],[f112]) ).

fof(f112,negated_conjecture,
    ~ ? [X0] :
        ( sdtlpdtrp0(xe,X0) = xp
        & ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          | ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
            & aElementOf0(X0,szDzozmdt0(xd)) ) ) ),
    inference(negated_conjecture,[],[f111]) ).

fof(f111,conjecture,
    ? [X0] :
      ( sdtlpdtrp0(xe,X0) = xp
      & ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
          & aElementOf0(X0,szDzozmdt0(xd)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.06  % Problem    : NUM615+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.07  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.06/0.26  % Computer : n009.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit   : 300
% 0.06/0.26  % WCLimit    : 300
% 0.06/0.26  % DateTime   : Mon Apr 29 23:32:25 EDT 2024
% 0.06/0.26  % CPUTime    : 
% 0.10/0.26  % (863)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.27  % (869)WARNING: value z3 for option sas not known
% 0.10/0.27  % (867)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.27  % (868)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.27  % (869)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)
% 0.10/0.27  % (871)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)
% 0.10/0.27  % (872)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)
% 0.10/0.27  % (870)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.27  % (873)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)
% 0.10/0.29  % (872)First to succeed.
% 0.10/0.29  % (871)Also succeeded, but the first one will report.
% 0.10/0.29  % (872)Refutation found. Thanks to Tanya!
% 0.10/0.29  % SZS status Theorem for theBenchmark
% 0.10/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.29  % (872)------------------------------
% 0.10/0.29  % (872)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.10/0.29  % (872)Termination reason: Refutation
% 0.10/0.29  
% 0.10/0.29  % (872)Memory used [KB]: 1638
% 0.10/0.29  % (872)Time elapsed: 0.015 s
% 0.10/0.29  % (872)Instructions burned: 43 (million)
% 0.10/0.29  % (872)------------------------------
% 0.10/0.29  % (872)------------------------------
% 0.10/0.29  % (863)Success in time 0.028 s
%------------------------------------------------------------------------------