TSTP Solution File: SWW469_1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWW469_1 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.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 11:38:34 EDT 2024

% Result   : Theorem 0.11s 0.34s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (  11 unt;   4 typ;   0 def)
%            Number of atoms       :   25 (  17 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   24 (  17   ~;   3   |;   0   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   21 (  11   !;  10   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    state: $tType ).

tff(func_def_0,type,
    sK0: state ).

tff(func_def_1,type,
    sK1: state ).

tff(func_def_2,type,
    sK2: state ).

tff(f24,plain,
    $false,
    inference(subsumption_resolution,[],[f23,f19]) ).

tff(f19,plain,
    ! [X1: state] : ( sK0 = X1 ),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ! [X1: state] : ( sK0 = X1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f13,f15]) ).

tff(f15,plain,
    ( ? [X0: state] :
      ! [X1: state] : ( X0 = X1 )
   => ! [X1: state] : ( sK0 = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f13,plain,
    ? [X0: state] :
    ! [X1: state] : ( X0 = X1 ),
    inference(ennf_transformation,[],[f8]) ).

tff(f8,plain,
    ~ ! [X0: state] :
        ~ ! [X1: state] : ( X0 = X1 ),
    inference(rectify,[],[f7]) ).

tff(f7,negated_conjecture,
    ~ ! [X1: state] :
        ~ ! [X0: state] : ( X0 = X1 ),
    inference(negated_conjecture,[],[f6]) ).

tff(f6,conjecture,
    ! [X1: state] :
      ~ ! [X0: state] : ( X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

tff(f23,plain,
    sK0 != sK1,
    inference(forward_demodulation,[],[f22,f19]) ).

tff(f22,plain,
    sK1 != sK2,
    inference(subsumption_resolution,[],[f21,f20]) ).

tff(f20,plain,
    hoare_1310879719gleton,
    inference(cnf_transformation,[],[f5]) ).

tff(f5,axiom,
    hoare_1310879719gleton,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f21,plain,
    ( ( sK1 != sK2 )
    | ~ hoare_1310879719gleton ),
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    ( ( sK1 != sK2 )
    | ~ hoare_1310879719gleton ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f14,f17]) ).

tff(f17,plain,
    ( ? [X0: state,X1: state] : ( X0 != X1 )
   => ( sK1 != sK2 ) ),
    introduced(choice_axiom,[]) ).

tff(f14,plain,
    ( ? [X0: state,X1: state] : ( X0 != X1 )
    | ~ hoare_1310879719gleton ),
    inference(ennf_transformation,[],[f9]) ).

tff(f9,plain,
    ( hoare_1310879719gleton
   => ? [X0: state,X1: state] : ( X0 != X1 ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

tff(f1,axiom,
    ( hoare_1310879719gleton
  <=> ? [X0: state,X1: state] : ( X0 != X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWW469_1 : TPTP v8.1.2. Released v5.3.0.
% 0.06/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n022.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 19:37:07 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  % (11029)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (11032)WARNING: value z3 for option sas not known
% 0.11/0.34  % (11036)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)
% 0.11/0.34  % (11030)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34  % (11033)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34  % (11032)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)
% 0.11/0.34  % (11035)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)
% 0.11/0.34  Detected minimum model sizes of [1]
% 0.11/0.34  Detected maximum model sizes of [3]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  % (11031)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34  Detected minimum model sizes of [1]
% 0.11/0.34  Detected maximum model sizes of [6]
% 0.11/0.34  % (11034)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)
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [3]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  % (11033)Also succeeded, but the first one will report.
% 0.11/0.34  % (11036)First to succeed.
% 0.11/0.34  TRYING [3]
% 0.11/0.34  % (11035)Also succeeded, but the first one will report.
% 0.11/0.34  % (11036)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11029"
% 0.11/0.34  TRYING [4]
% 0.11/0.34  TRYING [5]
% 0.11/0.34  % (11034)Also succeeded, but the first one will report.
% 0.11/0.34  % (11032)Also succeeded, but the first one will report.
% 0.11/0.34  TRYING [6]
% 0.11/0.34  % (11036)Refutation found. Thanks to Tanya!
% 0.11/0.34  % SZS status Theorem for theBenchmark
% 0.11/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34  % (11036)------------------------------
% 0.11/0.34  % (11036)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34  % (11036)Termination reason: Refutation
% 0.11/0.34  
% 0.11/0.34  % (11036)Memory used [KB]: 734
% 0.11/0.34  % (11036)Time elapsed: 0.003 s
% 0.11/0.34  % (11036)Instructions burned: 2 (million)
% 0.11/0.34  % (11029)Success in time 0.016 s
%------------------------------------------------------------------------------