TSTP Solution File: GEO524+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO524+1 : TPTP v8.1.0. Released v7.0.0.
% 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 : n025.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 16:10:44 EDT 2022

% Result   : Theorem 0.15s 0.49s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (   6 unt;   0 def)
%            Number of atoms       :   42 (  41 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   40 (  17   ~;  12   |;  10   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-3 aty)
%            Number of variables   :   36 (  24   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f231,plain,
    $false,
    inference(subsumption_resolution,[],[f230,f218]) ).

fof(f218,plain,
    sK2 != sK1,
    inference(cnf_transformation,[],[f214]) ).

fof(f214,plain,
    ( sK0 != sK3
    & reflect(sK0,sK3,sK1) = reflect(sK0,sK3,sK2)
    & sK2 != sK1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f212,f213]) ).

fof(f213,plain,
    ( ? [X0,X1,X2,X3] :
        ( X0 != X3
        & reflect(X0,X3,X2) = reflect(X0,X3,X1)
        & X1 != X2 )
   => ( sK0 != sK3
      & reflect(sK0,sK3,sK1) = reflect(sK0,sK3,sK2)
      & sK2 != sK1 ) ),
    introduced(choice_axiom,[]) ).

fof(f212,plain,
    ? [X0,X1,X2,X3] :
      ( X0 != X3
      & reflect(X0,X3,X2) = reflect(X0,X3,X1)
      & X1 != X2 ),
    inference(rectify,[],[f210]) ).

fof(f210,plain,
    ? [X0,X2,X3,X1] :
      ( X0 != X1
      & reflect(X0,X1,X3) = reflect(X0,X1,X2)
      & X2 != X3 ),
    inference(ennf_transformation,[],[f206]) ).

fof(f206,plain,
    ~ ! [X3,X2,X0,X1] :
        ( reflect(X0,X1,X3) != reflect(X0,X1,X2)
        | X2 = X3
        | X0 = X1 ),
    inference(rectify,[],[f190]) ).

fof(f190,negated_conjecture,
    ~ ! [X11,X14,X15,X12] :
        ( X12 = X15
        | X11 = X14
        | reflect(X11,X14,X12) != reflect(X11,X14,X15) ),
    inference(negated_conjecture,[],[f189]) ).

fof(f189,conjecture,
    ! [X11,X14,X15,X12] :
      ( X12 = X15
      | X11 = X14
      | reflect(X11,X14,X12) != reflect(X11,X14,X15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_7) ).

fof(f230,plain,
    sK2 = sK1,
    inference(subsumption_resolution,[],[f228,f220]) ).

fof(f220,plain,
    sK0 != sK3,
    inference(cnf_transformation,[],[f214]) ).

fof(f228,plain,
    ( sK0 = sK3
    | sK2 = sK1 ),
    inference(superposition,[],[f222,f226]) ).

fof(f226,plain,
    sK2 = reflect(sK0,sK3,reflect(sK0,sK3,sK1)),
    inference(subsumption_resolution,[],[f225,f220]) ).

fof(f225,plain,
    ( sK2 = reflect(sK0,sK3,reflect(sK0,sK3,sK1))
    | sK0 = sK3 ),
    inference(superposition,[],[f222,f219]) ).

fof(f219,plain,
    reflect(sK0,sK3,sK1) = reflect(sK0,sK3,sK2),
    inference(cnf_transformation,[],[f214]) ).

fof(f222,plain,
    ! [X2,X0,X1] :
      ( reflect(X0,X1,reflect(X0,X1,X2)) = X2
      | X0 = X1 ),
    inference(cnf_transformation,[],[f216]) ).

fof(f216,plain,
    ! [X0,X1,X2] :
      ( X0 = X1
      | reflect(X0,X1,reflect(X0,X1,X2)) = X2 ),
    inference(rectify,[],[f207]) ).

fof(f207,plain,
    ! [X1,X0,X2] :
      ( X0 = X1
      | reflect(X1,X0,reflect(X1,X0,X2)) = X2 ),
    inference(rectify,[],[f187]) ).

fof(f187,axiom,
    ! [X14,X11,X12] :
      ( X11 = X14
      | reflect(X11,X14,reflect(X11,X14,X12)) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : GEO524+1 : TPTP v8.1.0. Released v7.0.0.
% 0.00/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.30  % Computer : n025.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Aug 29 22:01:59 EDT 2022
% 0.10/0.30  % CPUTime    : 
% 0.15/0.46  % (31648)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)
% 0.15/0.47  % (31642)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)
% 0.15/0.47  % (31640)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)
% 0.15/0.47  % (31640)First to succeed.
% 0.15/0.48  % (31658)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)
% 0.15/0.48  % (31650)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)
% 0.15/0.48  % (31648)Instruction limit reached!
% 0.15/0.48  % (31648)------------------------------
% 0.15/0.48  % (31648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (31648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (31648)Termination reason: Unknown
% 0.15/0.48  % (31648)Termination phase: Preprocessing 1
% 0.15/0.48  
% 0.15/0.48  % (31648)Memory used [KB]: 1791
% 0.15/0.48  % (31648)Time elapsed: 0.005 s
% 0.15/0.48  % (31648)Instructions burned: 3 (million)
% 0.15/0.48  % (31648)------------------------------
% 0.15/0.48  % (31648)------------------------------
% 0.15/0.49  % (31640)Refutation found. Thanks to Tanya!
% 0.15/0.49  % SZS status Theorem for theBenchmark
% 0.15/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49  % (31640)------------------------------
% 0.15/0.49  % (31640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (31640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (31640)Termination reason: Refutation
% 0.15/0.49  
% 0.15/0.49  % (31640)Memory used [KB]: 6268
% 0.15/0.49  % (31640)Time elapsed: 0.096 s
% 0.15/0.49  % (31640)Instructions burned: 4 (million)
% 0.15/0.49  % (31640)------------------------------
% 0.15/0.49  % (31640)------------------------------
% 0.15/0.49  % (31633)Success in time 0.173 s
%------------------------------------------------------------------------------