TSTP Solution File: SWW469_5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW469_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% 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 : Sun May  5 11:17:49 EDT 2024

% Result   : Theorem 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   60
% Syntax   : Number of formulae    :   72 (  10 unt;  57 typ;   0 def)
%            Number of atoms       :   20 (  12 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (  14   ~;   2   |;   0   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    9 (   8 usr)
%            Number of type conns  :   41 (  25   >;  16   *;   0   +;   0  <<)
%            Number of predicates  :   20 (  18 usr;   2 prp; 0-5 aty)
%            Number of functors    :   32 (  32 usr;   5 con; 0-4 aty)
%            Number of variables   :   56 (   5   !;  12   ?;  56   :)
%                                         (  39  !>;   0  ?*;   0  @-;   0  @+)

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

tff(type_def_6,type,
    state: $tType ).

tff(type_def_7,type,
    node: ( $tType * $tType ) > $tType ).

tff(type_def_8,type,
    bool: $tType ).

tff(type_def_9,type,
    hoare_28830079triple: $tType > $tType ).

tff(type_def_10,type,
    int: $tType ).

tff(type_def_11,type,
    nat: $tType ).

tff(type_def_12,type,
    char: $tType ).

tff(type_def_13,type,
    literal: $tType ).

tff(type_def_14,type,
    nibble: $tType ).

tff(type_def_15,type,
    fun: ( $tType * $tType ) > $tType ).

tff(type_def_16,type,
    sum_sum: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    one_one: 
      !>[X0: $tType] : X0 ).

tff(func_def_1,type,
    sgn_sgn: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2,type,
    uminus_uminus: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_4,type,
    bool_size: bool > nat ).

tff(func_def_5,type,
    equal_equal: 
      !>[X0: $tType] : fun(X0,fun(X0,bool)) ).

tff(func_def_6,type,
    hoare_689268419triple: 
      !>[X0: $tType] : fun(fun(node(sum_sum(com,fun(X0,fun(state,bool))),sum_sum(state,X0)),bool),hoare_28830079triple(X0)) ).

tff(func_def_7,type,
    hoare_334633230triple: 
      !>[X0: $tType] : fun(hoare_28830079triple(X0),fun(node(sum_sum(com,fun(X0,fun(state,bool))),sum_sum(state,X0)),bool)) ).

tff(func_def_8,type,
    hoare_1841697145triple: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(X0,fun(state,bool)) ) > hoare_28830079triple(X0) ) ).

tff(func_def_9,type,
    hoare_376461865e_case: 
      !>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),X1))) * hoare_28830079triple(X0) ) > X1 ) ).

tff(func_def_10,type,
    hoare_678420151le_rec: 
      !>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),X1))) * hoare_28830079triple(X0) ) > X1 ) ).

tff(func_def_11,type,
    hoare_711253694ep_set: 
      !>[X0: $tType] : fun(fun(node(sum_sum(com,fun(X0,fun(state,bool))),sum_sum(state,X0)),bool),bool) ).

tff(func_def_12,type,
    hoare_47506394e_size: 
      !>[X0: $tType] : ( ( fun(X0,nat) * hoare_28830079triple(X0) ) > nat ) ).

tff(func_def_13,type,
    nat_size: nat > nat ).

tff(func_def_14,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_15,type,
    size_size: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_16,type,
    collect: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).

tff(func_def_17,type,
    char1: ( nibble * nibble ) > char ).

tff(func_def_18,type,
    char_case: 
      !>[X0: $tType] : ( ( fun(nibble,fun(nibble,X0)) * char ) > X0 ) ).

tff(func_def_19,type,
    char_rec: 
      !>[X0: $tType] : ( ( fun(nibble,fun(nibble,X0)) * char ) > X0 ) ).

tff(func_def_20,type,
    char_size: char > nat ).

tff(func_def_21,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_22,type,
    fFalse: bool ).

tff(func_def_23,type,
    fTrue: bool ).

tff(func_def_24,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,bool)) ).

tff(func_def_25,type,
    sK0: state ).

tff(func_def_26,type,
    sK1: state ).

tff(func_def_27,type,
    sK2: state ).

tff(pred_def_1,type,
    enum: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    cl_HOL_Oequal: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    one: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    sgn_if: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    linord219039673up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    semigroup: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_17,type,
    ord_less: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_18,type,
    type_definition: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,X0) * fun(X1,bool) ) > $o ) ).

tff(pred_def_19,type,
    member: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).

tff(pred_def_20,type,
    pp: bool > $o ).

tff(f153,plain,
    $false,
    inference(subsumption_resolution,[],[f152,f148]) ).

tff(f148,plain,
    ! [X1: state] : ( sK0 = X1 ),
    inference(cnf_transformation,[],[f145]) ).

tff(f145,plain,
    ? [X0: state] :
    ! [X1: state] : ( X0 = X1 ),
    inference(ennf_transformation,[],[f142]) ).

tff(f142,plain,
    ~ ! [X0: state] :
      ? [X1: state] : ( X0 != X1 ),
    inference(rectify,[],[f141]) ).

tff(f141,negated_conjecture,
    ~ ! [X52: state] :
      ? [X53: state] : ( X52 != X53 ),
    inference(negated_conjecture,[],[f140]) ).

tff(f140,conjecture,
    ! [X52: state] :
    ? [X53: state] : ( X52 != X53 ),
    file('/export/starexec/sandbox2/tmp/tmp.RFgMwbRzPm/Vampire---4.8_542',conj_1) ).

tff(f152,plain,
    sK0 != sK1,
    inference(forward_demodulation,[],[f150,f148]) ).

tff(f150,plain,
    sK1 != sK2,
    inference(unit_resulting_resolution,[],[f147,f149]) ).

tff(f149,plain,
    ( ~ hoare_531836380gleton
    | ( sK1 != sK2 ) ),
    inference(cnf_transformation,[],[f146]) ).

tff(f146,plain,
    ( ? [X0: state,X1: state] : ( X0 != X1 )
    | ~ hoare_531836380gleton ),
    inference(ennf_transformation,[],[f144]) ).

tff(f144,plain,
    ( hoare_531836380gleton
   => ? [X0: state,X1: state] : ( X0 != X1 ) ),
    inference(unused_predicate_definition_removal,[],[f143]) ).

tff(f143,plain,
    ( hoare_531836380gleton
  <=> ? [X0: state,X1: state] : ( X0 != X1 ) ),
    inference(rectify,[],[f1]) ).

tff(f1,axiom,
    ( hoare_531836380gleton
  <=> ? [X3: state,X4: state] : ( X3 != X4 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.RFgMwbRzPm/Vampire---4.8_542',fact_0_state__not__singleton__def) ).

tff(f147,plain,
    hoare_531836380gleton,
    inference(cnf_transformation,[],[f139]) ).

tff(f139,axiom,
    hoare_531836380gleton,
    file('/export/starexec/sandbox2/tmp/tmp.RFgMwbRzPm/Vampire---4.8_542',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWW469_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 19:32:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TF1_THM_EQU_NAR problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.RFgMwbRzPm/Vampire---4.8_542
% 0.59/0.75  % (743)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.59/0.75  % (735)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.75  % (738)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.75  % (736)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.75  % (737)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (742)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.75  % (743)First to succeed.
% 0.59/0.75  % (744)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.75  % (743)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-734"
% 0.59/0.75  % (743)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Theorem for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75  % (743)------------------------------
% 0.59/0.75  % (743)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (743)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (743)Memory used [KB]: 1082
% 0.59/0.75  % (743)Time elapsed: 0.003 s
% 0.59/0.75  % (743)Instructions burned: 4 (million)
% 0.59/0.75  % (734)Success in time 0.385 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------