TSTP Solution File: RNG102+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG102+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 : n029.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 0.21s 0.53s
% Output   : Refutation 0.21s
% 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(f109,plain,
    $false,
    inference(subsumption_resolution,[],[f108,f78]) ).

fof(f78,plain,
    aElement0(sK1),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ( aElementOf0(xy,slsdtgt0(xc))
    & aElement0(xz)
    & aElement0(sK0)
    & xx = sdtasdt0(xc,sK0)
    & aElement0(sK1)
    & xy = sdtasdt0(xc,sK1)
    & aElementOf0(xx,slsdtgt0(xc)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f43,f62,f61]) ).

fof(f61,plain,
    ( ? [X0] :
        ( aElement0(X0)
        & sdtasdt0(xc,X0) = xx )
   => ( aElement0(sK0)
      & xx = sdtasdt0(xc,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ( ? [X1] :
        ( aElement0(X1)
        & xy = sdtasdt0(xc,X1) )
   => ( aElement0(sK1)
      & xy = sdtasdt0(xc,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ( aElementOf0(xy,slsdtgt0(xc))
    & aElement0(xz)
    & ? [X0] :
        ( aElement0(X0)
        & sdtasdt0(xc,X0) = xx )
    & ? [X1] :
        ( aElement0(X1)
        & xy = sdtasdt0(xc,X1) )
    & aElementOf0(xx,slsdtgt0(xc)) ),
    inference(rectify,[],[f39]) ).

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

fof(f108,plain,
    ~ aElement0(sK1),
    inference(trivial_inequality_removal,[],[f107]) ).

fof(f107,plain,
    ( ~ aElement0(sK1)
    | xy != xy ),
    inference(superposition,[],[f93,f77]) ).

fof(f77,plain,
    xy = sdtasdt0(xc,sK1),
    inference(cnf_transformation,[],[f63]) ).

fof(f93,plain,
    ! [X0] :
      ( sdtasdt0(xc,X0) != xy
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | sdtasdt0(xc,X0) != xy ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,negated_conjecture,
    ~ ? [X0] :
        ( sdtasdt0(xc,X0) = xy
        & aElement0(X0) ),
    inference(negated_conjecture,[],[f41]) ).

fof(f41,conjecture,
    ? [X0] :
      ( sdtasdt0(xc,X0) = xy
      & aElement0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : RNG102+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 : n029.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 12:18:12 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  % (17440)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.50  % (17460)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51  % (17467)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)
% 0.21/0.51  % (17439)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.51  % (17452)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51  % (17445)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.51  % (17450)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51  % (17439)First to succeed.
% 0.21/0.52  % (17435)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.52  % (17442)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.52  % (17444)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.52  % (17457)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52  % (17437)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.52  % (17438)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (17437)Instruction limit reached!
% 0.21/0.52  % (17437)------------------------------
% 0.21/0.52  % (17437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (17437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (17437)Termination reason: Unknown
% 0.21/0.52  % (17437)Termination phase: Equality resolution with deletion
% 0.21/0.52  
% 0.21/0.52  % (17437)Memory used [KB]: 1535
% 0.21/0.52  % (17437)Time elapsed: 0.004 s
% 0.21/0.52  % (17437)Instructions burned: 4 (million)
% 0.21/0.52  % (17437)------------------------------
% 0.21/0.52  % (17437)------------------------------
% 0.21/0.52  % (17452)Instruction limit reached!
% 0.21/0.52  % (17452)------------------------------
% 0.21/0.52  % (17452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (17452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (17452)Termination reason: Unknown
% 0.21/0.52  % (17452)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (17452)Memory used [KB]: 6140
% 0.21/0.52  % (17452)Time elapsed: 0.007 s
% 0.21/0.52  % (17452)Instructions burned: 7 (million)
% 0.21/0.52  % (17452)------------------------------
% 0.21/0.52  % (17452)------------------------------
% 0.21/0.52  % (17467)Instruction limit reached!
% 0.21/0.52  % (17467)------------------------------
% 0.21/0.52  % (17467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (17467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (17467)Termination reason: Unknown
% 0.21/0.52  % (17467)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (17467)Memory used [KB]: 6268
% 0.21/0.52  % (17467)Time elapsed: 0.080 s
% 0.21/0.52  % (17467)Instructions burned: 8 (million)
% 0.21/0.52  % (17467)------------------------------
% 0.21/0.52  % (17467)------------------------------
% 0.21/0.52  % (17464)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.52  % (17465)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53  % (17463)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)
% 0.21/0.53  % (17468)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.53  % (17457)Instruction limit reached!
% 0.21/0.53  % (17457)------------------------------
% 0.21/0.53  % (17457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (17457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (17457)Termination reason: Unknown
% 0.21/0.53  % (17457)Termination phase: Property scanning
% 0.21/0.53  
% 0.21/0.53  % (17457)Memory used [KB]: 1407
% 0.21/0.53  % (17457)Time elapsed: 0.002 s
% 0.21/0.53  % (17457)Instructions burned: 2 (million)
% 0.21/0.53  % (17457)------------------------------
% 0.21/0.53  % (17457)------------------------------
% 0.21/0.53  % (17441)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)
% 0.21/0.53  % (17439)Refutation found. Thanks to Tanya!
% 0.21/0.53  % SZS status Theorem for theBenchmark
% 0.21/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (17439)------------------------------
% 0.21/0.53  % (17439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (17439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (17439)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (17439)Memory used [KB]: 6012
% 0.21/0.53  % (17439)Time elapsed: 0.110 s
% 0.21/0.53  % (17439)Instructions burned: 3 (million)
% 0.21/0.53  % (17439)------------------------------
% 0.21/0.53  % (17439)------------------------------
% 0.21/0.53  % (17429)Success in time 0.178 s
%------------------------------------------------------------------------------