TSTP Solution File: NUM977_5 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM977_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n017.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 : Tue Apr 30 14:39:21 EDT 2024

% Result   : Theorem 0.20s 0.37s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   38
% Syntax   : Number of formulae    :   43 (   7 unt;  36 typ;   0 def)
%            Number of atoms       :    7 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    8 (   3 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   27 (  16   >;  11   *;   0   +;   0  <<)
%            Number of predicates  :   18 (  17 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   6 con; 0-4 aty)
%            Number of variables   :   18 (   0   !;   0   ?;  18   :)
%                                         (  18  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

tff(type_def_8,type,
    fun: ( $tType * $tType ) > $tType ).

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

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

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

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

tff(func_def_4,type,
    bit0: int > int ).

tff(func_def_5,type,
    bit1: int > int ).

tff(func_def_6,type,
    pls: int ).

tff(func_def_7,type,
    number_number_of: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_8,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_9,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_10,type,
    fFalse: bool ).

tff(func_def_11,type,
    fTrue: bool ).

tff(func_def_12,type,
    m: int ).

tff(func_def_13,type,
    t: int ).

tff(func_def_14,type,
    tn: nat ).

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

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

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

tff(pred_def_4,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

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

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

tff(pred_def_9,type,
    linord219039673up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    zprime: int > $o ).

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

tff(pred_def_12,type,
    twoSqu1567020053sum2sq: int > $o ).

tff(pred_def_13,type,
    pp: bool > $o ).

tff(pred_def_14,type,
    sP0: ( int * int ) > $o ).

tff(pred_def_15,type,
    sP1: ( int * int ) > $o ).

tff(pred_def_16,type,
    sP2: ( nat * nat * fun(nat,fun(nat,bool)) ) > $o ).

tff(pred_def_17,type,
    sP3: ( nat * nat * fun(nat,fun(nat,bool)) ) > $o ).

tff(f479,plain,
    $false,
    inference(subsumption_resolution,[],[f329,f299]) ).

tff(f299,plain,
    twoSqu1567020053sum2sq(times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),plus_plus(int,one_one(int),semiring_1_of_nat(int,zero_zero(nat))))),
    inference(cnf_transformation,[],[f118]) ).

tff(f118,plain,
    twoSqu1567020053sum2sq(times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),plus_plus(int,one_one(int),semiring_1_of_nat(int,zero_zero(nat))))),
    inference(flattening,[],[f117]) ).

tff(f117,negated_conjecture,
    ~ ~ twoSqu1567020053sum2sq(times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),plus_plus(int,one_one(int),semiring_1_of_nat(int,zero_zero(nat))))),
    inference(negated_conjecture,[],[f116]) ).

tff(f116,conjecture,
    ~ twoSqu1567020053sum2sq(times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),plus_plus(int,one_one(int),semiring_1_of_nat(int,zero_zero(nat))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(f329,plain,
    ~ twoSqu1567020053sum2sq(times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),plus_plus(int,one_one(int),semiring_1_of_nat(int,zero_zero(nat))))),
    inference(cnf_transformation,[],[f2]) ).

tff(f2,axiom,
    ~ twoSqu1567020053sum2sq(times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),plus_plus(int,one_one(int),semiring_1_of_nat(int,zero_zero(nat))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_nQ1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : NUM977_5 : TPTP v8.1.2. Released v6.0.0.
% 0.03/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Apr 29 23:38:48 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (9741)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.36  % (9745)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.36  % Exception at run slice level
% 0.20/0.36  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.37  % (9744)WARNING: value z3 for option sas not known
% 0.20/0.37  % (9742)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37  % (9744)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37  % (9743)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37  % (9746)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.37  % (9747)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.37  % (9748)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.37  % (9748)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.37  % Exception at run slice level
% 0.20/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.37  % Exception at run slice level
% 0.20/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.37  % (9749)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.20/0.37  % (9748)First to succeed.
% 0.20/0.37  % (9744)Also succeeded, but the first one will report.
% 0.20/0.37  % (9749)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.37  % Exception at run slice level
% 0.20/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.37  % (9748)Refutation found. Thanks to Tanya!
% 0.20/0.37  % SZS status Theorem for theBenchmark
% 0.20/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37  % (9748)------------------------------
% 0.20/0.37  % (9748)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.37  % (9748)Termination reason: Refutation
% 0.20/0.37  
% 0.20/0.37  % (9748)Memory used [KB]: 942
% 0.20/0.37  % (9748)Time elapsed: 0.007 s
% 0.20/0.37  % (9748)Instructions burned: 10 (million)
% 0.20/0.37  % (9748)------------------------------
% 0.20/0.37  % (9748)------------------------------
% 0.20/0.37  % (9741)Success in time 0.025 s
%------------------------------------------------------------------------------