TSTP Solution File: ALG198+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG198+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n020.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 15:40:35 EDT 2022

% Result   : Theorem 1.31s 0.56s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   5 unt;   0 def)
%            Number of atoms       :   49 (  45 equ)
%            Maximal formula atoms :   14 (   5 avg)
%            Number of connectives :   66 (  26   ~;   0   |;  39   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2073,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1713,f2050]) ).

fof(f2050,plain,
    ~ spl0_80,
    inference(avatar_split_clause,[],[f311,f872]) ).

fof(f872,plain,
    ( spl0_80
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f311,plain,
    e0 != op(e0,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( e4 != op(e4,e4)
    & e5 != op(e5,e5)
    & e0 = op(e0,e0)
    & e1 = op(e1,e1)
    & e2 != op(e2,e2)
    & e4 = op(e4,e4)
    & e0 != op(e0,e0)
    & e2 = op(e2,e2)
    & e5 = op(e5,e5)
    & e6 = op(e6,e6)
    & e3 = op(e3,e3)
    & e3 != op(e3,e3)
    & e6 != op(e6,e6)
    & e1 != op(e1,e1) ),
    inference(flattening,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ~ ( e4 != op(e4,e4)
        & e5 != op(e5,e5)
        & e0 = op(e0,e0)
        & e1 = op(e1,e1)
        & e2 != op(e2,e2)
        & e4 = op(e4,e4)
        & e0 != op(e0,e0)
        & e2 = op(e2,e2)
        & e5 = op(e5,e5)
        & e6 = op(e6,e6)
        & e3 = op(e3,e3)
        & e3 != op(e3,e3)
        & e6 != op(e6,e6)
        & e1 != op(e1,e1) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ~ ( e4 != op(e4,e4)
      & e5 != op(e5,e5)
      & e0 = op(e0,e0)
      & e1 = op(e1,e1)
      & e2 != op(e2,e2)
      & e4 = op(e4,e4)
      & e0 != op(e0,e0)
      & e2 = op(e2,e2)
      & e5 = op(e5,e5)
      & e6 = op(e6,e6)
      & e3 = op(e3,e3)
      & e3 != op(e3,e3)
      & e6 != op(e6,e6)
      & e1 != op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1713,plain,
    spl0_80,
    inference(avatar_split_clause,[],[f315,f872]) ).

fof(f315,plain,
    e0 = op(e0,e0),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem    : ALG198+1 : TPTP v8.1.0. Released v2.7.0.
% 0.02/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.34  % Computer : n020.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8042.1875MB
% 0.10/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34  % CPULimit   : 300
% 0.10/0.34  % WCLimit    : 300
% 0.10/0.34  % DateTime   : Mon Aug 29 15:00:30 EDT 2022
% 0.10/0.34  % CPUTime    : 
% 0.16/0.51  % (9680)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)
% 0.16/0.51  % (9662)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)
% 0.16/0.51  % (9664)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)
% 0.16/0.52  % (9672)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)
% 0.16/0.52  % (9670)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)
% 0.16/0.53  % (9670)Instruction limit reached!
% 0.16/0.53  % (9670)------------------------------
% 0.16/0.53  % (9670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53  % (9678)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)
% 0.16/0.53  % (9670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53  % (9670)Termination reason: Unknown
% 0.16/0.53  % (9670)Termination phase: Naming
% 0.16/0.53  
% 0.16/0.53  % (9670)Memory used [KB]: 1663
% 0.16/0.53  % (9670)Time elapsed: 0.005 s
% 0.16/0.53  % (9670)Instructions burned: 4 (million)
% 0.16/0.53  % (9670)------------------------------
% 0.16/0.53  % (9670)------------------------------
% 1.31/0.55  % (9662)First to succeed.
% 1.31/0.55  % (9667)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.31/0.55  % (9666)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)
% 1.31/0.56  % (9662)Refutation found. Thanks to Tanya!
% 1.31/0.56  % SZS status Theorem for theBenchmark
% 1.31/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.56  % (9662)------------------------------
% 1.31/0.56  % (9662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.56  % (9662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.56  % (9662)Termination reason: Refutation
% 1.31/0.56  
% 1.31/0.56  % (9662)Memory used [KB]: 7164
% 1.31/0.56  % (9662)Time elapsed: 0.026 s
% 1.31/0.56  % (9662)Instructions burned: 30 (million)
% 1.31/0.56  % (9662)------------------------------
% 1.31/0.56  % (9662)------------------------------
% 1.31/0.56  % (9655)Success in time 0.21 s
%------------------------------------------------------------------------------