TSTP Solution File: ALG199+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ALG199+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n006.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 : Sun May  5 04:28:43 EDT 2024

% Result   : Theorem 0.21s 0.40s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   85 (  84 equ)
%            Maximal formula atoms :   21 (   6 avg)
%            Number of connectives :  131 (  59   ~;  48   |;  24   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f536,plain,
    $false,
    inference(global_subsumption,[],[f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).

fof(f10,plain,
    e0 != op(e0,e0),
    inference(cnf_transformation,[],[f9]) ).

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

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

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

fof(f11,plain,
    e1 != op(e1,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f12,plain,
    e2 != op(e2,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f13,plain,
    e3 != op(e3,e3),
    inference(cnf_transformation,[],[f9]) ).

fof(f14,plain,
    e4 != op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f15,plain,
    e5 != op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f16,plain,
    e6 != op(e6,e6),
    inference(cnf_transformation,[],[f9]) ).

fof(f17,plain,
    ( e6 = op(e6,e6)
    | e5 = op(e5,e5)
    | e4 = op(e4,e4)
    | e3 = op(e3,e3)
    | e2 = op(e2,e2)
    | e1 = op(e1,e1)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f18,plain,
    ( e6 != op(e6,e6)
    | e5 != op(e5,e5)
    | e4 != op(e4,e4)
    | e3 != op(e3,e3)
    | e2 != op(e2,e2)
    | e1 != op(e1,e1)
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ALG199+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 19:55:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (4074)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.40  % (4089)WARNING: value z3 for option sas not known
% 0.21/0.40  % (4090)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.40  % (4088)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.40  % (4089)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)
% 0.21/0.40  % (4091)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)
% 0.21/0.40  % (4087)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.40  % (4092)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)
% 0.21/0.40  % (4093)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)
% 0.21/0.40  % (4089)First to succeed.
% 0.21/0.40  % (4089)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4074"
% 0.21/0.40  % (4089)Refutation found. Thanks to Tanya!
% 0.21/0.40  % SZS status Theorem for theBenchmark
% 0.21/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41  % (4089)------------------------------
% 0.21/0.41  % (4089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.41  % (4089)Termination reason: Refutation
% 0.21/0.41  
% 0.21/0.41  % (4089)Memory used [KB]: 1021
% 0.21/0.41  % (4089)Time elapsed: 0.009 s
% 0.21/0.41  % (4089)Instructions burned: 14 (million)
% 0.21/0.41  % (4074)Success in time 0.047 s
%------------------------------------------------------------------------------