TSTP Solution File: SEU161+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SEU161+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n031.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 Apr 30 15:22:41 EDT 2024

% Result   : Theorem 0.14s 0.33s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   21 (  10 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (   8   ~;   2   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f28,plain,
    $false,
    inference(unit_resulting_resolution,[],[f15,f16,f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | set_union2(singleton(X0),X1) = X1 ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( set_union2(singleton(X0),X1) = X1
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => set_union2(singleton(X0),X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l23_zfmisc_1) ).

fof(f16,plain,
    sK1 != set_union2(singleton(sK0),sK1),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ( sK1 != set_union2(singleton(sK0),sK1)
    & in(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f13]) ).

fof(f13,plain,
    ( ? [X0,X1] :
        ( set_union2(singleton(X0),X1) != X1
        & in(X0,X1) )
   => ( sK1 != set_union2(singleton(sK0),sK1)
      & in(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ? [X0,X1] :
      ( set_union2(singleton(X0),X1) != X1
      & in(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,negated_conjecture,
    ~ ! [X0,X1] :
        ( in(X0,X1)
       => set_union2(singleton(X0),X1) = X1 ),
    inference(negated_conjecture,[],[f6]) ).

fof(f6,conjecture,
    ! [X0,X1] :
      ( in(X0,X1)
     => set_union2(singleton(X0),X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_zfmisc_1) ).

fof(f15,plain,
    in(sK0,sK1),
    inference(cnf_transformation,[],[f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SEU161+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.31  % Computer : n031.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit   : 300
% 0.09/0.31  % WCLimit    : 300
% 0.09/0.31  % DateTime   : Mon Apr 29 21:07:58 EDT 2024
% 0.09/0.31  % CPUTime    : 
% 0.09/0.31  % (12065)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.32  % (12068)WARNING: value z3 for option sas not known
% 0.14/0.32  % (12071)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)
% 0.14/0.32  % (12070)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)
% 0.14/0.32  % (12069)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.32  % (12068)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)
% 0.14/0.32  % (12066)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.32  % (12072)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)
% 0.14/0.32  % (12067)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.33  TRYING [1]
% 0.14/0.33  TRYING [2]
% 0.14/0.33  TRYING [3]
% 0.14/0.33  TRYING [1]
% 0.14/0.33  % (12072)First to succeed.
% 0.14/0.33  TRYING [2]
% 0.14/0.33  TRYING [4]
% 0.14/0.33  % (12071)Also succeeded, but the first one will report.
% 0.14/0.33  TRYING [3]
% 0.14/0.33  % (12070)Also succeeded, but the first one will report.
% 0.14/0.33  % (12072)Refutation found. Thanks to Tanya!
% 0.14/0.33  % SZS status Theorem for theBenchmark
% 0.14/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.33  % (12072)------------------------------
% 0.14/0.33  % (12072)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.33  % (12072)Termination reason: Refutation
% 0.14/0.33  
% 0.14/0.33  % (12072)Memory used [KB]: 753
% 0.14/0.33  % (12072)Time elapsed: 0.003 s
% 0.14/0.33  % (12072)Instructions burned: 3 (million)
% 0.14/0.33  % (12072)------------------------------
% 0.14/0.33  % (12072)------------------------------
% 0.14/0.33  % (12065)Success in time 0.016 s
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