TSTP Solution File: SWW469_1 by SnakeForV---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWW469_1 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 19:06:52 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (  10 unt;   4 typ;   0 def)
%            Number of atoms       :   28 (  17 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   28 (  19   ~;   4   |;   0   &)
%                                         (   2 <=>;   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   :   23 (  11   !;  12   ?;  23   :)

% 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(f22,plain,
    $false,
    inference(subsumption_resolution,[],[f18,f21]) ).

tff(f21,plain,
    ~ hoare_1310879719gleton,
    inference(subsumption_resolution,[],[f20,f17]) ).

tff(f17,plain,
    ! [X1: state] : ( sK0 = X1 ),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X1: state] : ( sK0 = X1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f13]) ).

tff(f13,plain,
    ( ? [X0: state] :
      ! [X1: state] : ( X0 = X1 )
   => ! [X1: state] : ( sK0 = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f11,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/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(f20,plain,
    ( ( sK2 != sK0 )
    | ~ hoare_1310879719gleton ),
    inference(backward_demodulation,[],[f19,f17]) ).

tff(f19,plain,
    ( ( sK2 != sK1 )
    | ~ hoare_1310879719gleton ),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ( ~ hoare_1310879719gleton
    | ( sK2 != sK1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f12,f15]) ).

tff(f15,plain,
    ( ? [X0: state,X1: state] : ( X0 != X1 )
   => ( sK2 != sK1 ) ),
    introduced(choice_axiom,[]) ).

tff(f12,plain,
    ( ~ hoare_1310879719gleton
    | ? [X0: state,X1: state] : ( X0 != X1 ) ),
    inference(ennf_transformation,[],[f10]) ).

tff(f10,plain,
    ( hoare_1310879719gleton
   => ? [X0: state,X1: state] : ( X0 != X1 ) ),
    inference(unused_predicate_definition_removal,[],[f9]) ).

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

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

tff(f18,plain,
    hoare_1310879719gleton,
    inference(cnf_transformation,[],[f5]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWW469_1 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 20:25:46 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (20025)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (20045)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.51  % (20033)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (20037)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (20025)First to succeed.
% 0.19/0.51  % (20025)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (20025)------------------------------
% 0.19/0.51  % (20025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (20025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (20025)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (20025)Memory used [KB]: 5884
% 0.19/0.51  % (20025)Time elapsed: 0.002 s
% 0.19/0.51  % (20025)Instructions burned: 1 (million)
% 0.19/0.51  % (20025)------------------------------
% 0.19/0.51  % (20025)------------------------------
% 0.19/0.51  % (20021)Success in time 0.168 s
%------------------------------------------------------------------------------