TSTP Solution File: SYO205^5 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO205^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n007.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 : Tue May 21 09:10:36 EDT 2024

% Result   : Theorem 0.21s 0.37s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   13 (   7   ~;   3   |;   1   &)
%                                         (   1 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   34 (   4 fml;  30 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   13 (   7   !;   6   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f12,plain,
    $false,
    inference(equality_resolution,[],[f10]) ).

tff(f10,plain,
    ! [X1: $o] : ( (X1) != (X1) ),
    inference(equality_resolution,[],[f9]) ).

tff(f9,plain,
    ! [X0: $o,X1: $o] :
      ( ( (X0) != (X1) )
      | ( (X0) != (X1) ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f7,plain,
    ! [X0: $o,X1: $o] :
      ( ( ( (X0) != (X1) )
        | ( (X0) != (X1) ) )
      & ( ( (X0) = (X1) )
        | ( (X0) = (X1) ) ) ),
    inference(nnf_transformation,[],[f6]) ).

tff(f6,plain,
    ! [X0: $o,X1: $o] :
      ( ( (X0) = (X1) )
    <~> ( (X0) = (X1) ) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f5,plain,
    ~ ? [X0: $o,X1: $o] :
        ( ( (X0) = (X1) )
      <=> ( (X0) = (X1) ) ),
    inference(fool_elimination,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $o,X1: $o] :
        ( ( (X0) = (X1) )
        = ( (X0) = (X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $o,X1: $o] :
      ( ( (X0) = (X1) )
      = ( (X0) = (X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCT27) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYO205^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n007.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 09:16:22 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (8371)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (8374)WARNING: value z3 for option sas not known
% 0.21/0.37  % (8375)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37  % (8374)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)
% 0.21/0.37  % (8372)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37  % (8376)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)
% 0.21/0.37  % (8377)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)
% 0.21/0.37  % (8378)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)
% 0.21/0.37  % (8373)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37  % (8375)First to succeed.
% 0.21/0.37  % (8376)Also succeeded, but the first one will report.
% 0.21/0.37  % (8377)Also succeeded, but the first one will report.
% 0.21/0.37  % (8375)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8371"
% 0.21/0.37  % (8378)Also succeeded, but the first one will report.
% 0.21/0.37  TRYING [1]
% 0.21/0.37  TRYING [2]
% 0.21/0.37  TRYING [3]
% 0.21/0.37  % (8372)Also succeeded, but the first one will report.
% 0.21/0.37  % (8374)Also succeeded, but the first one will report.
% 0.21/0.37  % (8375)Refutation found. Thanks to Tanya!
% 0.21/0.37  % SZS status Theorem for theBenchmark
% 0.21/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37  % (8375)------------------------------
% 0.21/0.37  % (8375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.37  % (8375)Termination reason: Refutation
% 0.21/0.37  
% 0.21/0.37  % (8375)Memory used [KB]: 729
% 0.21/0.37  % (8375)Time elapsed: 0.002 s
% 0.21/0.37  % (8375)Instructions burned: 2 (million)
% 0.21/0.37  % (8371)Success in time 0.007 s
%------------------------------------------------------------------------------