TSTP Solution File: ITP001_3 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP001_3 : TPTP v8.1.2. Bugfixed v7.5.0.
% 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 : n028.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 06:46:27 EDT 2024

% Result   : Theorem 0.58s 0.77s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   32 (   7 unt;  25 typ;   0 def)
%            Number of atoms       :    7 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   18 (  11   >;   7   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;   7 con; 0-4 aty)
%            Number of variables   :   16 (   0   !;   0   ?;  16   :)
%                                         (  16  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    tyop_2Emin_2Ebool: $tType ).

tff(type_def_6,type,
    tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    app_2E2: 
      !>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1,type,
    combin_i_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(X0,X0) ).

tff(func_def_2,type,
    combin_k_2E0: 
      !>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)) ).

tff(func_def_3,type,
    combin_s_2E0: 
      !>[X0: $tType,X1: $tType,X2: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))) ).

tff(func_def_4,type,
    c_2Ebool_2E_21_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).

tff(func_def_5,type,
    c_2Ebool_2E_21_2E1: 
      !>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).

tff(func_def_6,type,
    c_2Ebool_2E_2F_5C_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).

tff(func_def_7,type,
    c_2Ebool_2E_2F_5C_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).

tff(func_def_8,type,
    c_2Emin_2E_3D_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).

tff(func_def_9,type,
    c_2Emin_2E_3D_2E2: 
      !>[X0: $tType] : ( ( X0 * X0 ) > tyop_2Emin_2Ebool ) ).

tff(func_def_10,type,
    c_2Emin_2E_3D_3D_3E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).

tff(func_def_11,type,
    c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).

tff(func_def_12,type,
    c_2Ebool_2E_3F_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).

tff(func_def_13,type,
    c_2Ebool_2E_3F_2E1: 
      !>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).

tff(func_def_14,type,
    c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).

tff(func_def_15,type,
    c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).

tff(func_def_16,type,
    c_2Ebool_2E_5C_2F_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).

tff(func_def_17,type,
    c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).

tff(func_def_18,type,
    c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).

tff(func_def_19,type,
    c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).

tff(func_def_20,type,
    sK0: tyop_2Emin_2Ebool ).

tff(func_def_21,type,
    sK1: 
      !>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X0,X1) ) > X0 ) ).

tff(pred_def_1,type,
    p: tyop_2Emin_2Ebool > $o ).

tff(f47,plain,
    $false,
    inference(subsumption_resolution,[],[f39,f42]) ).

tff(f42,plain,
    p(c_2Ebool_2ET_2E0),
    inference(cnf_transformation,[],[f3]) ).

tff(f3,axiom,
    p(c_2Ebool_2ET_2E0),
    file('/export/starexec/sandbox2/tmp/tmp.uocBsIw5dT/Vampire---4.8_23435',thm_2Eextra_2Dho_2Etruth) ).

tff(f39,plain,
    ~ p(c_2Ebool_2ET_2E0),
    inference(cnf_transformation,[],[f26]) ).

tff(f26,plain,
    ~ p(c_2Ebool_2ET_2E0),
    inference(flattening,[],[f25]) ).

tff(f25,negated_conjecture,
    ~ p(c_2Ebool_2ET_2E0),
    inference(negated_conjecture,[],[f24]) ).

tff(f24,conjecture,
    p(c_2Ebool_2ET_2E0),
    file('/export/starexec/sandbox2/tmp/tmp.uocBsIw5dT/Vampire---4.8_23435',thm_2Ebool_2ETRUTH) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem    : ITP001_3 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.17  % 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
% 0.15/0.38  % Computer : n028.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Fri May  3 19:16:23 EDT 2024
% 0.15/0.38  % CPUTime    : 
% 0.15/0.38  This is a TF1_THM_EQU_NAR problem
% 0.15/0.38  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.uocBsIw5dT/Vampire---4.8_23435
% 0.58/0.77  % (23550)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)
% 0.58/0.77  % (23550)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.58/0.77  % (23550)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.58/0.77  % (23550)First to succeed.
% 0.58/0.77  % (23544)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)
% 0.58/0.77  % (23545)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)
% 0.58/0.77  % (23550)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23543"
% 0.58/0.77  % (23547)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)
% 0.58/0.77  % (23548)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.77  % (23546)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.77  % (23549)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)
% 0.58/0.77  % (23550)Refutation found. Thanks to Tanya!
% 0.58/0.77  % SZS status Theorem for Vampire---4
% 0.58/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.77  % (23550)------------------------------
% 0.58/0.77  % (23550)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (23550)Termination reason: Refutation
% 0.58/0.77  
% 0.58/0.77  % (23550)Memory used [KB]: 968
% 0.58/0.77  % (23550)Time elapsed: 0.002 s
% 0.58/0.77  % (23550)Instructions burned: 2 (million)
% 0.58/0.77  % (23543)Success in time 0.381 s
% 0.58/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------