TSTP Solution File: NUM957_5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM957_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.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 May  1 03:35:48 EDT 2024

% Result   : Theorem 0.60s 0.76s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   50 (  16 unt;  28 typ;   0 def)
%            Number of atoms       :   33 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  13   ~;   7   |;   0   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   16 (  11   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-3 aty)
%            Number of variables   :   34 (  18   !;   0   ?;  34   :)
%                                         (  16  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

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

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

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

tff(func_def_4,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_5,type,
    bit0: int > int ).

tff(func_def_6,type,
    bit1: int > int ).

tff(func_def_7,type,
    pls: int ).

tff(func_def_8,type,
    number_number_of: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_9,type,
    fFalse: bool ).

tff(func_def_10,type,
    fTrue: bool ).

tff(func_def_11,type,
    m: int ).

tff(func_def_12,type,
    t: int ).

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

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

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

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

tff(pred_def_5,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

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

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

tff(pred_def_8,type,
    linord219039673up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    zprime: int > $o ).

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

tff(pred_def_11,type,
    twoSqu1567020053sum2sq: int > $o ).

tff(pred_def_12,type,
    pp: bool > $o ).

tff(pred_def_13,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f431,plain,
    $false,
    inference(subsumption_resolution,[],[f430,f352]) ).

tff(f352,plain,
    ord_less(int,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,bit1(pls),bit1(pls)),plus_plus(int,bit1(pls),bit1(pls)))),m),one_one(int)),one_one(int)),t),
    inference(definition_unfolding,[],[f288,f247,f247]) ).

tff(f247,plain,
    ! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
    inference(cnf_transformation,[],[f133]) ).

tff(f133,plain,
    ! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
    inference(rectify,[],[f72]) ).

tff(f72,axiom,
    ! [X6: int] : ( bit0(X6) = plus_plus(int,X6,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.rwd0LmGyP7/Vampire---4.8_13964',fact_71_Bit0__def) ).

tff(f288,plain,
    ord_less(int,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)),t),
    inference(cnf_transformation,[],[f2]) ).

tff(f2,axiom,
    ord_less(int,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)),t),
    file('/export/starexec/sandbox/tmp/tmp.rwd0LmGyP7/Vampire---4.8_13964',fact_1__0964_A_K_Am_A_L_A1_A_N_A1_A_060_At_096) ).

tff(f430,plain,
    ~ ord_less(int,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,bit1(pls),bit1(pls)),plus_plus(int,bit1(pls),bit1(pls)))),m),one_one(int)),one_one(int)),t),
    inference(subsumption_resolution,[],[f429,f350]) ).

tff(f350,plain,
    ord_less(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,bit1(pls),bit1(pls)),plus_plus(int,bit1(pls),bit1(pls)))),m),one_one(int))),
    inference(definition_unfolding,[],[f286,f247,f247]) ).

tff(f286,plain,
    ord_less(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ord_less(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
    file('/export/starexec/sandbox/tmp/tmp.rwd0LmGyP7/Vampire---4.8_13964',fact_0_p0) ).

tff(f429,plain,
    ( ~ ord_less(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,bit1(pls),bit1(pls)),plus_plus(int,bit1(pls),bit1(pls)))),m),one_one(int)))
    | ~ ord_less(int,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,bit1(pls),bit1(pls)),plus_plus(int,bit1(pls),bit1(pls)))),m),one_one(int)),one_one(int)),t) ),
    inference(resolution,[],[f317,f308]) ).

tff(f308,plain,
    ! [X2: int,X0: int,X1: int] :
      ( ord_less(int,times_times(int,X0,X2),times_times(int,X0,X1))
      | ~ ord_less(int,zero_zero(int),X0)
      | ~ ord_less(int,X2,X1) ),
    inference(cnf_transformation,[],[f191]) ).

tff(f191,plain,
    ! [X0: int,X1: int,X2: int] :
      ( ord_less(int,times_times(int,X0,X2),times_times(int,X0,X1))
      | ~ ord_less(int,zero_zero(int),X0)
      | ~ ord_less(int,X2,X1) ),
    inference(flattening,[],[f190]) ).

tff(f190,plain,
    ! [X0: int,X1: int,X2: int] :
      ( ord_less(int,times_times(int,X0,X2),times_times(int,X0,X1))
      | ~ ord_less(int,zero_zero(int),X0)
      | ~ ord_less(int,X2,X1) ),
    inference(ennf_transformation,[],[f166]) ).

tff(f166,plain,
    ! [X0: int,X1: int,X2: int] :
      ( ord_less(int,X2,X1)
     => ( ord_less(int,zero_zero(int),X0)
       => ord_less(int,times_times(int,X0,X2),times_times(int,X0,X1)) ) ),
    inference(rectify,[],[f62]) ).

tff(f62,axiom,
    ! [X6: int,X18: int,X19: int] :
      ( ord_less(int,X19,X18)
     => ( ord_less(int,zero_zero(int),X6)
       => ord_less(int,times_times(int,X6,X19),times_times(int,X6,X18)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.rwd0LmGyP7/Vampire---4.8_13964',fact_61_zmult__zless__mono2) ).

tff(f317,plain,
    ~ ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,bit1(pls),bit1(pls)),plus_plus(int,bit1(pls),bit1(pls)))),m),one_one(int)),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,bit1(pls),bit1(pls)),plus_plus(int,bit1(pls),bit1(pls)))),m),one_one(int)),one_one(int))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,bit1(pls),bit1(pls)),plus_plus(int,bit1(pls),bit1(pls)))),m),one_one(int)),t)),
    inference(definition_unfolding,[],[f215,f247,f247,f247,f247,f247,f247]) ).

tff(f215,plain,
    ~ ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t)),
    inference(cnf_transformation,[],[f111]) ).

tff(f111,plain,
    ~ ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t)),
    inference(flattening,[],[f110]) ).

tff(f110,negated_conjecture,
    ~ ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t)),
    inference(negated_conjecture,[],[f109]) ).

tff(f109,conjecture,
    ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t)),
    file('/export/starexec/sandbox/tmp/tmp.rwd0LmGyP7/Vampire---4.8_13964',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem    : NUM957_5 : TPTP v8.1.2. Released v6.0.0.
% 0.09/0.15  % 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
% 0.16/0.37  % Computer : n029.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 17:08:35 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a TF1_THM_EQU_NAR problem
% 0.16/0.37  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/tmp/tmp.rwd0LmGyP7/Vampire---4.8_13964
% 0.55/0.76  % (14226)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)
% 0.55/0.76  % (14227)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)
% 0.55/0.76  % (14228)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)
% 0.60/0.76  % (14227)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.60/0.76  % (14221)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)
% 0.60/0.76  % (14223)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76  % (14224)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)
% 0.60/0.76  % (14222)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)
% 0.60/0.76  % (14227)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.60/0.76  % (14228)First to succeed.
% 0.60/0.76  % (14226)Refutation not found, incomplete strategy% (14226)------------------------------
% 0.60/0.76  % (14226)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (14226)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (14226)Memory used [KB]: 1223
% 0.60/0.76  % (14226)Time elapsed: 0.005 s
% 0.60/0.76  % (14226)Instructions burned: 12 (million)
% 0.60/0.76  % (14226)------------------------------
% 0.60/0.76  % (14226)------------------------------
% 0.60/0.76  % (14228)Refutation found. Thanks to Tanya!
% 0.60/0.76  % SZS status Theorem for Vampire---4
% 0.60/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76  % (14228)------------------------------
% 0.60/0.76  % (14228)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (14228)Termination reason: Refutation
% 0.60/0.76  
% 0.60/0.76  % (14228)Memory used [KB]: 1155
% 0.60/0.76  % (14228)Time elapsed: 0.004 s
% 0.60/0.76  % (14228)Instructions burned: 10 (million)
% 0.60/0.76  % (14228)------------------------------
% 0.60/0.76  % (14228)------------------------------
% 0.60/0.76  % (14217)Success in time 0.38 s
% 0.60/0.76  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.60/0.76  14217 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.rwd0LmGyP7/Vampire---4.8_13964
% 0.60/0.76  % (14217)------------------------------
% 0.60/0.76  % (14217)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (14217)Termination reason: Unknown
% 0.60/0.76  % (14217)Termination phase: Unknown
% 0.60/0.76  
% 0.60/0.76  % (14217)Memory used [KB]: 481
% 0.60/0.76  % (14217)Time elapsed: 0.380 s
% 0.60/0.76  % (14217)Instructions burned: 964 (million)
% 0.60/0.76  % (14217)------------------------------
% 0.60/0.76  % (14217)------------------------------
% 0.60/0.76  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  ???
% 0.60/0.76   ???
% 0.60/0.76    ???
% 0.60/0.76     ???
% 0.60/0.76      ???
% 0.60/0.76       ???
% 0.60/0.76        ???
% 0.60/0.76         ???
% 0.60/0.76          ???
% 0.60/0.76           ???
% 0.60/0.76            ???
% 0.60/0.76             ???
% 0.60/0.76              ???
% 0.60/0.76               ???
% 0.60/0.76                ???
% 0.60/0.76                 ???
% 0.60/0.76                  ???
% 0.60/0.76                   ???
% 0.60/0.76                    ???
% 0.60/0.76                     ???
% 0.60/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------