TSTP Solution File: SWW469_1 by Vampire---4.9

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%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW469_1 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n015.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 : Mon Jun 24 18:32:37 EDT 2024

% Result   : Theorem 0.25s 0.44s
% Output   : Refutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   26 (  16 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   26 (  18   ~;   4   |;   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(f25,plain,
    $false,
    inference(subsumption_resolution,[],[f24,f20]) ).

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

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

tff(f24,plain,
    ~ hoare_1310879719gleton,
    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',unknown) ).

tff(f23,plain,
    ( ( sK0 != sK1 )
    | ~ hoare_1310879719gleton ),
    inference(superposition,[],[f21,f19]) ).

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',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWW469_1 : TPTP v8.2.0. Released v5.3.0.
% 0.11/0.13  % Command    : run_vampire %s %d THM
% 0.12/0.37  % Computer : n015.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8042.1875MB
% 0.12/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.37  % CPULimit   : 300
% 0.12/0.37  % WCLimit    : 300
% 0.12/0.37  % DateTime   : Wed Jun 19 08:09:39 EDT 2024
% 0.12/0.37  % CPUTime    : 
% 0.12/0.38  This is a TF0_THM_EQU_NAR problem
% 0.12/0.39  Running first-order theorem proving
% 0.12/0.39  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.43  % (11042)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.43  % (11049)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=117:bd=off_0 on theBenchmark for (2999ds/117Mi)
% 0.25/0.44  % (11049)First to succeed.
% 0.25/0.44  % (11049)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11042"
% 0.25/0.44  % (11042)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.44  % (11049)Refutation found. Thanks to Tanya!
% 0.25/0.44  % SZS status Theorem for theBenchmark
% 0.25/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.44  % (11049)------------------------------
% 0.25/0.44  % (11049)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.44  % (11049)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.44  % (11049)Termination reason: Refutation
% 0.25/0.44  
% 0.25/0.44  % (11049)Memory used [KB]: 1059
% 0.25/0.44  % (11049)Time elapsed: 0.002 s
% 0.25/0.44  % (11049)Instructions burned: 2 (million)
% 0.25/0.44  % (11049)------------------------------
% 0.25/0.44  % (11049)------------------------------
% 0.25/0.44  % (11042)Success in time 0.033 s
%------------------------------------------------------------------------------