TSTP Solution File: ITP209_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP209_1 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 May 20 22:34:50 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   35 (  11 unt;  24 typ;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   16 (  14   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   6 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?;  10   :)

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

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

tff(type_def_7,type,
    bool: $tType ).

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

tff(func_def_0,type,
    aa_a_fun_a_a: ( fun_a_fun_a_a * a ) > fun_a_a ).

tff(func_def_1,type,
    aa_a_a: ( fun_a_a * a ) > a ).

tff(func_def_2,type,
    fFalse: bool ).

tff(func_def_3,type,
    fTrue: bool ).

tff(func_def_4,type,
    a2: a ).

tff(func_def_5,type,
    b: a ).

tff(func_def_6,type,
    c: a ).

tff(func_def_7,type,
    f: fun_a_fun_a_a ).

tff(func_def_8,type,
    sK0: fun_a_fun_a_a > a ).

tff(func_def_9,type,
    sK1: fun_a_fun_a_a > a ).

tff(func_def_10,type,
    sK2: fun_a_fun_a_a > a ).

tff(func_def_11,type,
    sK3: fun_a_fun_a_a > a ).

tff(func_def_12,type,
    sK4: fun_a_fun_a_a > a ).

tff(func_def_13,type,
    sK5: fun_a_fun_a_a > a ).

tff(func_def_14,type,
    sK6: fun_a_fun_a_a > a ).

tff(func_def_15,type,
    sK7: fun_a_fun_a_a > a ).

tff(func_def_16,type,
    sK8: fun_a_fun_a_a > a ).

tff(func_def_17,type,
    sK9: fun_a_fun_a_a > a ).

tff(pred_def_1,type,
    syntax_ac_operator_a: fun_a_fun_a_a > $o ).

tff(pred_def_2,type,
    pp: bool > $o ).

tff(f43,plain,
    $false,
    inference(subsumption_resolution,[],[f42,f37]) ).

tff(f37,plain,
    ! [X2: a,X0: a,X1: a] : ( aa_a_a(aa_a_fun_a_a(f,X0),aa_a_a(aa_a_fun_a_a(f,X1),X2)) = aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,X0),X1)),X2) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f4,axiom,
    ! [X0: a,X1: a,X2: a] : ( aa_a_a(aa_a_fun_a_a(f,X0),aa_a_a(aa_a_fun_a_a(f,X1),X2)) = aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,X0),X1)),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_right__assoc) ).

tff(f42,plain,
    aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) != aa_a_a(aa_a_fun_a_a(f,a2),aa_a_a(aa_a_fun_a_a(f,b),c)),
    inference(forward_demodulation,[],[f41,f39]) ).

tff(f39,plain,
    ! [X0: a,X1: a] : ( aa_a_a(aa_a_fun_a_a(f,X0),X1) = aa_a_a(aa_a_fun_a_a(f,X1),X0) ),
    inference(cnf_transformation,[],[f2]) ).

tff(f2,axiom,
    ! [X0: a,X1: a] : ( aa_a_a(aa_a_fun_a_a(f,X0),X1) = aa_a_a(aa_a_fun_a_a(f,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_commute) ).

tff(f41,plain,
    aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) != aa_a_a(aa_a_fun_a_a(f,a2),aa_a_a(aa_a_fun_a_a(f,c),b)),
    inference(forward_demodulation,[],[f28,f37]) ).

tff(f28,plain,
    aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) != aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),c)),b),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) != aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),c)),b),
    inference(flattening,[],[f14]) ).

tff(f14,negated_conjecture,
    ( ~ aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) = aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),c)),b) ),
    inference(negated_conjecture,[],[f13]) ).

tff(f13,conjecture,
    aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) = aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),c)),b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ITP209_1 : TPTP v8.2.0. Released v8.0.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n021.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Sat May 18 17:11:07 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a TF0_THM_EQU_NAR problem
% 0.16/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.74  % (7981)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.74  % (7974)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.74  % (7981)Refutation not found, incomplete strategy% (7981)------------------------------
% 0.56/0.74  % (7981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (7981)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (7981)Memory used [KB]: 1028
% 0.56/0.74  % (7981)Time elapsed: 0.004 s
% 0.56/0.74  % (7981)Instructions burned: 3 (million)
% 0.56/0.74  % (7981)------------------------------
% 0.56/0.74  % (7981)------------------------------
% 0.56/0.74  % (7974)Refutation not found, incomplete strategy% (7974)------------------------------
% 0.56/0.74  % (7974)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (7974)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (7974)Memory used [KB]: 1043
% 0.56/0.74  % (7974)Time elapsed: 0.004 s
% 0.56/0.74  % (7974)Instructions burned: 4 (million)
% 0.56/0.74  % (7974)------------------------------
% 0.56/0.74  % (7974)------------------------------
% 0.56/0.74  % (7980)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 theBenchmark for (2996ds/83Mi)
% 0.56/0.74  % (7979)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.74  % (7975)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 theBenchmark for (2996ds/51Mi)
% 0.56/0.74  % (7980)First to succeed.
% 0.56/0.74  % (7980)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7973"
% 0.56/0.74  % (7979)Also succeeded, but the first one will report.
% 0.56/0.75  % (7980)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Theorem for theBenchmark
% 0.56/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.75  % (7980)------------------------------
% 0.56/0.75  % (7980)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (7980)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (7980)Memory used [KB]: 1029
% 0.56/0.75  % (7980)Time elapsed: 0.002 s
% 0.56/0.75  % (7980)Instructions burned: 3 (million)
% 0.56/0.75  % (7973)Success in time 0.377 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------