TSTP Solution File: SWW469+5 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWW469+5 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.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 07:23:13 EDT 2024

% Result   : Theorem 0.22s 0.39s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (  11 unt;   0 def)
%            Number of atoms       :   33 (  21 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   33 (  19   ~;   7   |;   3   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   29 (  17   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f288,plain,
    $false,
    inference(subsumption_resolution,[],[f287,f172]) ).

fof(f172,plain,
    ! [X1] : ti(state,X1) = ti(state,sK0),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X1] : ti(state,X1) = ti(state,sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f104,f139]) ).

fof(f139,plain,
    ( ? [X0] :
      ! [X1] : ti(state,X1) = ti(state,X0)
   => ! [X1] : ti(state,X1) = ti(state,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f104,plain,
    ? [X0] :
    ! [X1] : ti(state,X1) = ti(state,X0),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ~ ! [X0] :
        ~ ! [X1] : ti(state,X1) = ti(state,X0),
    inference(rectify,[],[f64]) ).

fof(f64,negated_conjecture,
    ~ ! [X5] :
        ~ ! [X4] : ti(state,X4) = ti(state,X5),
    inference(negated_conjecture,[],[f63]) ).

fof(f63,conjecture,
    ! [X5] :
      ~ ! [X4] : ti(state,X4) = ti(state,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(f287,plain,
    ti(state,sK0) != ti(state,sK2),
    inference(forward_demodulation,[],[f286,f172]) ).

fof(f286,plain,
    ti(state,sK2) != ti(state,sK1),
    inference(subsumption_resolution,[],[f186,f173]) ).

fof(f173,plain,
    hBOOL(hoare_1883395792gleton),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    hBOOL(hoare_1883395792gleton),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f186,plain,
    ( ti(state,sK2) != ti(state,sK1)
    | ~ hBOOL(hoare_1883395792gleton) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ( ( hBOOL(hoare_1883395792gleton)
      | ! [X0,X1] : ti(state,X1) = ti(state,X0) )
    & ( ti(state,sK2) != ti(state,sK1)
      | ~ hBOOL(hoare_1883395792gleton) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f143,f144]) ).

fof(f144,plain,
    ( ? [X2,X3] : ti(state,X3) != ti(state,X2)
   => ti(state,sK2) != ti(state,sK1) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ( ( hBOOL(hoare_1883395792gleton)
      | ! [X0,X1] : ti(state,X1) = ti(state,X0) )
    & ( ? [X2,X3] : ti(state,X3) != ti(state,X2)
      | ~ hBOOL(hoare_1883395792gleton) ) ),
    inference(rectify,[],[f142]) ).

fof(f142,plain,
    ( ( hBOOL(hoare_1883395792gleton)
      | ! [X0,X1] : ti(state,X1) = ti(state,X0) )
    & ( ? [X0,X1] : ti(state,X1) != ti(state,X0)
      | ~ hBOOL(hoare_1883395792gleton) ) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,plain,
    ( hBOOL(hoare_1883395792gleton)
  <=> ? [X0,X1] : ti(state,X1) != ti(state,X0) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ( hBOOL(hoare_1883395792gleton)
  <=> ? [X4,X5] : ti(state,X4) != ti(state,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWW469+5 : TPTP v8.2.0. Released v5.3.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n002.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   : Sat May 18 19:33:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (15440)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (15443)WARNING: value z3 for option sas not known
% 0.22/0.38  % (15441)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38  % (15442)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38  % (15444)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38  % (15443)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)
% 0.22/0.38  % (15445)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)
% 0.22/0.38  % (15446)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)
% 0.22/0.38  % (15447)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)
% 0.22/0.39  % (15447)First to succeed.
% 0.22/0.39  % (15445)Also succeeded, but the first one will report.
% 0.22/0.39  % (15447)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15440"
% 0.22/0.39  % (15447)Refutation found. Thanks to Tanya!
% 0.22/0.39  % SZS status Theorem for theBenchmark
% 0.22/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39  % (15447)------------------------------
% 0.22/0.39  % (15447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.39  % (15447)Termination reason: Refutation
% 0.22/0.39  
% 0.22/0.39  % (15447)Memory used [KB]: 906
% 0.22/0.39  % (15447)Time elapsed: 0.010 s
% 0.22/0.39  % (15447)Instructions burned: 18 (million)
% 0.22/0.39  % (15440)Success in time 0.032 s
%------------------------------------------------------------------------------