TSTP Solution File: RNG124+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : RNG124+1 : 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 : 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 : Tue Apr 30 14:53:14 EDT 2024

% Result   : ContradictoryAxioms 0.22s 0.41s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   37 (  17 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   38 (  16   ~;  11   |;  10   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f873,plain,
    $false,
    inference(trivial_inequality_removal,[],[f872]) ).

fof(f872,plain,
    sz00 != sz00,
    inference(superposition,[],[f196,f800]) ).

fof(f800,plain,
    sz00 = xr,
    inference(resolution,[],[f799,f199]) ).

fof(f199,plain,
    aElementOf0(xr,xI),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,axiom,
    aElementOf0(xr,xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2729) ).

fof(f799,plain,
    ( ~ aElementOf0(xr,xI)
    | sz00 = xr ),
    inference(duplicate_literal_removal,[],[f798]) ).

fof(f798,plain,
    ( sz00 = xr
    | ~ aElementOf0(xr,xI)
    | sz00 = xr ),
    inference(resolution,[],[f214,f209]) ).

fof(f209,plain,
    ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
    | sz00 = xr ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,axiom,
    ( ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
      | sz00 = xr )
    & xb = sdtpldt0(sdtasdt0(xq,xu),xr)
    & aElement0(xr)
    & aElement0(xq) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).

fof(f214,plain,
    ! [X0] :
      ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
      | sz00 = X0
      | ~ aElementOf0(X0,xI) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ( ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | sz00 = X0
        | ~ aElementOf0(X0,xI) )
    & sz00 != xu
    & aElementOf0(xu,xI) ),
    inference(flattening,[],[f67]) ).

fof(f67,plain,
    ( ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | sz00 = X0
        | ~ aElementOf0(X0,xI) )
    & sz00 != xu
    & aElementOf0(xu,xI) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,axiom,
    ( ! [X0] :
        ( ( sz00 != X0
          & aElementOf0(X0,xI) )
       => ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
    & sz00 != xu
    & aElementOf0(xu,xI) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).

fof(f196,plain,
    sz00 != xr,
    inference(cnf_transformation,[],[f51]) ).

fof(f51,axiom,
    sz00 != xr,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2673) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : RNG124+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n014.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 Apr 30 02:03:04 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (323)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (326)WARNING: value z3 for option sas not known
% 0.15/0.38  % (326)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)
% 0.15/0.38  % (328)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)
% 0.15/0.38  % (325)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (329)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)
% 0.15/0.38  % (327)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (330)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)
% 0.15/0.38  % (324)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [1]
% 0.22/0.40  TRYING [2]
% 0.22/0.40  TRYING [1]
% 0.22/0.40  TRYING [3]
% 0.22/0.40  TRYING [2]
% 0.22/0.40  TRYING [3]
% 0.22/0.40  % (329)First to succeed.
% 0.22/0.41  % (329)Refutation found. Thanks to Tanya!
% 0.22/0.41  % SZS status ContradictoryAxioms for theBenchmark
% 0.22/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41  % (329)------------------------------
% 0.22/0.41  % (329)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.41  % (329)Termination reason: Refutation
% 0.22/0.41  
% 0.22/0.41  % (329)Memory used [KB]: 1382
% 0.22/0.41  % (329)Time elapsed: 0.024 s
% 0.22/0.41  % (329)Instructions burned: 43 (million)
% 0.22/0.41  % (329)------------------------------
% 0.22/0.41  % (329)------------------------------
% 0.22/0.41  % (323)Success in time 0.041 s
%------------------------------------------------------------------------------