TSTP Solution File: RNG101+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG101+2 : 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_uns --cores 0 -t %d %s

% Computer : n001.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 18:15:00 EDT 2022

% Result   : Theorem 1.44s 0.56s
% Output   : Refutation 1.44s
% 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(f108,plain,
    $false,
    inference(subsumption_resolution,[],[f107,f92]) ).

fof(f92,plain,
    aElement0(sK4),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( xy = sdtasdt0(xc,sK3)
    & aElement0(sK3)
    & aElement0(sK4)
    & xx = sdtasdt0(xc,sK4)
    & aElementOf0(xx,slsdtgt0(xc))
    & aElement0(xz)
    & aElementOf0(xy,slsdtgt0(xc)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f42,f70,f69]) ).

fof(f69,plain,
    ( ? [X0] :
        ( sdtasdt0(xc,X0) = xy
        & aElement0(X0) )
   => ( xy = sdtasdt0(xc,sK3)
      & aElement0(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f70,plain,
    ( ? [X1] :
        ( aElement0(X1)
        & xx = sdtasdt0(xc,X1) )
   => ( aElement0(sK4)
      & xx = sdtasdt0(xc,sK4) ) ),
    introduced(choice_axiom,[]) ).

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

fof(f39,axiom,
    ( ? [X0] :
        ( sdtasdt0(xc,X0) = xy
        & aElement0(X0) )
    & aElement0(xz)
    & ? [X0] :
        ( sdtasdt0(xc,X0) = xx
        & aElement0(X0) )
    & aElementOf0(xy,slsdtgt0(xc))
    & aElementOf0(xx,slsdtgt0(xc)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).

fof(f107,plain,
    ~ aElement0(sK4),
    inference(trivial_inequality_removal,[],[f106]) ).

fof(f106,plain,
    ( xx != xx
    | ~ aElement0(sK4) ),
    inference(superposition,[],[f100,f91]) ).

fof(f91,plain,
    xx = sdtasdt0(xc,sK4),
    inference(cnf_transformation,[],[f71]) ).

fof(f100,plain,
    ! [X0] :
      ( sdtasdt0(xc,X0) != xx
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | sdtasdt0(xc,X0) != xx ),
    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/sandbox2/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : RNG101+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n001.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 12:29:46 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 1.44/0.55  % (24380)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.44/0.55  % (24384)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.55  % (24382)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.44/0.55  % (24366)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.44/0.55  % (24388)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.44/0.55  % (24366)First to succeed.
% 1.44/0.55  % (24374)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.44/0.55  % (24376)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.56  % (24374)Instruction limit reached!
% 1.44/0.56  % (24374)------------------------------
% 1.44/0.56  % (24374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56  % (24368)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.44/0.56  % (24372)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.44/0.56  % (24366)Refutation found. Thanks to Tanya!
% 1.44/0.56  % SZS status Theorem for theBenchmark
% 1.44/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.56  % (24366)------------------------------
% 1.44/0.56  % (24366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56  % (24366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.56  % (24366)Termination reason: Refutation
% 1.44/0.56  
% 1.44/0.56  % (24366)Memory used [KB]: 6012
% 1.44/0.56  % (24366)Time elapsed: 0.134 s
% 1.44/0.56  % (24366)Instructions burned: 3 (million)
% 1.44/0.56  % (24366)------------------------------
% 1.44/0.56  % (24366)------------------------------
% 1.44/0.56  % (24358)Success in time 0.2 s
%------------------------------------------------------------------------------