TSTP Solution File: NUM992_5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM992_5 : TPTP v8.2.0. 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 : n008.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 May 21 01:47:42 EDT 2024

% Result   : Theorem 0.81s 0.80s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   48
% Syntax   : Number of formulae    :  125 (  63 unt;  30 typ;   0 def)
%            Number of atoms       :  143 (  47 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   94 (  46   ~;  30   |;   5   &)
%                                         (   6 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   17 (  11   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   6 con; 0-3 aty)
%            Number of variables   :  112 (  90   !;   5   ?; 112   :)
%                                         (  17  !>;   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(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,
    semiring_1_of_nat: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_10,type,
    fFalse: bool ).

tff(func_def_11,type,
    fTrue: bool ).

tff(func_def_12,type,
    m1: int ).

tff(func_def_13,type,
    n: nat ).

tff(func_def_14,type,
    t: int ).

tff(func_def_15,type,
    sK0: ( int * int ) > nat ).

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,
    linorder: 
      !>[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,
    ord_less: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

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

tff(pred_def_11,type,
    pp: bool > $o ).

tff(f1800,plain,
    $false,
    inference(subsumption_resolution,[],[f1799,f1098]) ).

tff(f1098,plain,
    ! [X0: nat] : ord_less(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),X0))),
    inference(backward_demodulation,[],[f426,f731]) ).

tff(f731,plain,
    ! [X0: nat] : ( plus_plus(int,one_one(int),semiring_1_of_nat(int,X0)) = semiring_1_of_nat(int,plus_plus(nat,one_one(nat),X0)) ),
    inference(superposition,[],[f336,f333]) ).

tff(f333,plain,
    one_one(int) = semiring_1_of_nat(int,one_one(nat)),
    inference(cnf_transformation,[],[f87]) ).

tff(f87,axiom,
    one_one(int) = semiring_1_of_nat(int,one_one(nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_int__1) ).

tff(f336,plain,
    ! [X0: nat,X1: nat] : ( semiring_1_of_nat(int,plus_plus(nat,X1,X0)) = plus_plus(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0)) ),
    inference(cnf_transformation,[],[f171]) ).

tff(f171,plain,
    ! [X0: nat,X1: nat] : ( semiring_1_of_nat(int,plus_plus(nat,X1,X0)) = plus_plus(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0)) ),
    inference(rectify,[],[f84]) ).

tff(f84,axiom,
    ! [X23: nat,X24: nat] : ( semiring_1_of_nat(int,plus_plus(nat,X24,X23)) = plus_plus(int,semiring_1_of_nat(int,X24),semiring_1_of_nat(int,X23)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_zadd__int) ).

tff(f426,plain,
    ! [X0: nat] : ord_less(int,pls,plus_plus(int,one_one(int),semiring_1_of_nat(int,X0))),
    inference(resolution,[],[f424,f355]) ).

tff(f355,plain,
    ! [X2: nat,X1: int] : ord_less_eq(int,X1,plus_plus(int,X1,semiring_1_of_nat(int,X2))),
    inference(equality_resolution,[],[f322]) ).

tff(f322,plain,
    ! [X2: nat,X0: int,X1: int] :
      ( ord_less_eq(int,X1,X0)
      | ( plus_plus(int,X1,semiring_1_of_nat(int,X2)) != X0 ) ),
    inference(cnf_transformation,[],[f226]) ).

tff(f226,plain,
    ! [X0: int,X1: int] :
      ( ( ord_less_eq(int,X1,X0)
        | ! [X2: nat] : ( plus_plus(int,X1,semiring_1_of_nat(int,X2)) != X0 ) )
      & ( ( plus_plus(int,X1,semiring_1_of_nat(int,sK0(X0,X1))) = X0 )
        | ~ ord_less_eq(int,X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f224,f225]) ).

tff(f225,plain,
    ! [X0: int,X1: int] :
      ( ? [X3: nat] : ( plus_plus(int,X1,semiring_1_of_nat(int,X3)) = X0 )
     => ( plus_plus(int,X1,semiring_1_of_nat(int,sK0(X0,X1))) = X0 ) ),
    introduced(choice_axiom,[]) ).

tff(f224,plain,
    ! [X0: int,X1: int] :
      ( ( ord_less_eq(int,X1,X0)
        | ! [X2: nat] : ( plus_plus(int,X1,semiring_1_of_nat(int,X2)) != X0 ) )
      & ( ? [X3: nat] : ( plus_plus(int,X1,semiring_1_of_nat(int,X3)) = X0 )
        | ~ ord_less_eq(int,X1,X0) ) ),
    inference(rectify,[],[f223]) ).

tff(f223,plain,
    ! [X0: int,X1: int] :
      ( ( ord_less_eq(int,X1,X0)
        | ! [X2: nat] : ( plus_plus(int,X1,semiring_1_of_nat(int,X2)) != X0 ) )
      & ( ? [X2: nat] : ( plus_plus(int,X1,semiring_1_of_nat(int,X2)) = X0 )
        | ~ ord_less_eq(int,X1,X0) ) ),
    inference(nnf_transformation,[],[f167]) ).

tff(f167,plain,
    ! [X0: int,X1: int] :
      ( ord_less_eq(int,X1,X0)
    <=> ? [X2: nat] : ( plus_plus(int,X1,semiring_1_of_nat(int,X2)) = X0 ) ),
    inference(rectify,[],[f86]) ).

tff(f86,axiom,
    ! [X15: int,X16: int] :
      ( ord_less_eq(int,X16,X15)
    <=> ? [X26: nat] : ( plus_plus(int,X16,semiring_1_of_nat(int,X26)) = X15 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_zle__iff__zadd) ).

tff(f424,plain,
    ! [X0: int] :
      ( ~ ord_less_eq(int,one_one(int),X0)
      | ord_less(int,pls,X0) ),
    inference(forward_demodulation,[],[f253,f365]) ).

tff(f365,plain,
    zero_zero(int) = pls,
    inference(subsumption_resolution,[],[f363,f342]) ).

tff(f342,plain,
    number_ring(int),
    inference(cnf_transformation,[],[f103]) ).

tff(f103,axiom,
    number_ring(int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).

tff(f363,plain,
    ( ( zero_zero(int) = pls )
    | ~ number_ring(int) ),
    inference(superposition,[],[f255,f313]) ).

tff(f313,plain,
    ! [X0: int] : ( number_number_of(int,X0) = X0 ),
    inference(cnf_transformation,[],[f163]) ).

tff(f163,plain,
    ! [X0: int] : ( number_number_of(int,X0) = X0 ),
    inference(rectify,[],[f97]) ).

tff(f97,axiom,
    ! [X6: int] : ( number_number_of(int,X6) = X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_number__of__is__id) ).

tff(f255,plain,
    ! [X0: $tType] :
      ( ( zero_zero(X0) = number_number_of(X0,pls) )
      | ~ number_ring(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tff(f183,plain,
    ! [X0: $tType] :
      ( ( zero_zero(X0) = number_number_of(X0,pls) )
      | ~ number_ring(X0) ),
    inference(ennf_transformation,[],[f43]) ).

tff(f43,axiom,
    ! [X0: $tType] :
      ( number_ring(X0)
     => ( zero_zero(X0) = number_number_of(X0,pls) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_number__of__Pls) ).

tff(f253,plain,
    ! [X0: int] :
      ( ord_less(int,zero_zero(int),X0)
      | ~ ord_less_eq(int,one_one(int),X0) ),
    inference(cnf_transformation,[],[f193]) ).

tff(f193,plain,
    ! [X0: int] :
      ( ( ord_less_eq(int,one_one(int),X0)
        | ~ ord_less(int,zero_zero(int),X0) )
      & ( ord_less(int,zero_zero(int),X0)
        | ~ ord_less_eq(int,one_one(int),X0) ) ),
    inference(nnf_transformation,[],[f133]) ).

tff(f133,plain,
    ! [X0: int] :
      ( ord_less_eq(int,one_one(int),X0)
    <=> ord_less(int,zero_zero(int),X0) ),
    inference(rectify,[],[f92]) ).

tff(f92,axiom,
    ! [X15: int] :
      ( ord_less_eq(int,one_one(int),X15)
    <=> ord_less(int,zero_zero(int),X15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_int__one__le__iff__zero__less) ).

tff(f1799,plain,
    ~ ord_less(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))),
    inference(subsumption_resolution,[],[f1792,f1093]) ).

tff(f1093,plain,
    ord_less(int,bit0(minus_minus(int,plus_plus(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))),bit0(plus_plus(int,pls,m1)))),pls),
    inference(backward_demodulation,[],[f820,f731]) ).

tff(f820,plain,
    ord_less(int,bit0(minus_minus(int,plus_plus(int,pls,plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(plus_plus(int,pls,m1)))),pls),
    inference(forward_demodulation,[],[f819,f691]) ).

tff(f691,plain,
    ! [X0: int] : ( plus_plus(int,pls,X0) = times_times(int,one_one(int),X0) ),
    inference(forward_demodulation,[],[f690,f402]) ).

tff(f402,plain,
    one_one(int) = bit1(pls),
    inference(subsumption_resolution,[],[f400,f342]) ).

tff(f400,plain,
    ( ( one_one(int) = bit1(pls) )
    | ~ number_ring(int) ),
    inference(superposition,[],[f345,f313]) ).

tff(f345,plain,
    ! [X0: $tType] :
      ( ( one_one(X0) = number_number_of(X0,bit1(pls)) )
      | ~ number_ring(X0) ),
    inference(cnf_transformation,[],[f186]) ).

tff(f186,plain,
    ! [X0: $tType] :
      ( ( one_one(X0) = number_number_of(X0,bit1(pls)) )
      | ~ number_ring(X0) ),
    inference(ennf_transformation,[],[f14]) ).

tff(f14,axiom,
    ! [X0: $tType] :
      ( number_ring(X0)
     => ( one_one(X0) = number_number_of(X0,bit1(pls)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_numeral__1__eq__1) ).

tff(f690,plain,
    ! [X0: int] : ( plus_plus(int,pls,X0) = times_times(int,bit1(pls),X0) ),
    inference(forward_demodulation,[],[f676,f284]) ).

tff(f284,plain,
    pls = bit0(pls),
    inference(cnf_transformation,[],[f29]) ).

tff(f29,axiom,
    pls = bit0(pls),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_Bit0__Pls) ).

tff(f676,plain,
    ! [X0: int] : ( times_times(int,bit1(pls),X0) = plus_plus(int,bit0(pls),X0) ),
    inference(superposition,[],[f251,f250]) ).

tff(f250,plain,
    ! [X0: int] : ( pls = times_times(int,pls,X0) ),
    inference(cnf_transformation,[],[f130]) ).

tff(f130,plain,
    ! [X0: int] : ( pls = times_times(int,pls,X0) ),
    inference(rectify,[],[f36]) ).

tff(f36,axiom,
    ! [X1: int] : ( pls = times_times(int,pls,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_mult__Pls) ).

tff(f251,plain,
    ! [X0: int,X1: int] : ( times_times(int,bit1(X1),X0) = plus_plus(int,bit0(times_times(int,X1,X0)),X0) ),
    inference(cnf_transformation,[],[f131]) ).

tff(f131,plain,
    ! [X0: int,X1: int] : ( times_times(int,bit1(X1),X0) = plus_plus(int,bit0(times_times(int,X1,X0)),X0) ),
    inference(rectify,[],[f13]) ).

tff(f13,axiom,
    ! [X5: int,X6: int] : ( times_times(int,bit1(X6),X5) = plus_plus(int,bit0(times_times(int,X6,X5)),X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_mult__Bit1) ).

tff(f819,plain,
    ord_less(int,bit0(minus_minus(int,times_times(int,one_one(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(plus_plus(int,pls,m1)))),pls),
    inference(forward_demodulation,[],[f818,f235]) ).

tff(f235,plain,
    ! [X0: int,X1: int] : ( bit0(minus_minus(int,X1,X0)) = minus_minus(int,bit0(X1),bit0(X0)) ),
    inference(cnf_transformation,[],[f118]) ).

tff(f118,plain,
    ! [X0: int,X1: int] : ( bit0(minus_minus(int,X1,X0)) = minus_minus(int,bit0(X1),bit0(X0)) ),
    inference(rectify,[],[f39]) ).

tff(f39,axiom,
    ! [X5: int,X6: int] : ( minus_minus(int,bit0(X6),bit0(X5)) = bit0(minus_minus(int,X6,X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_diff__bin__simps_I7_J) ).

tff(f818,plain,
    ord_less(int,minus_minus(int,bit0(times_times(int,one_one(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))),bit0(bit0(plus_plus(int,pls,m1)))),pls),
    inference(forward_demodulation,[],[f817,f249]) ).

tff(f249,plain,
    ! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
    inference(cnf_transformation,[],[f129]) ).

tff(f129,plain,
    ! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
    inference(rectify,[],[f37]) ).

tff(f37,axiom,
    ! [X5: int,X6: int] : ( bit0(times_times(int,X6,X5)) = times_times(int,bit0(X6),X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_mult__Bit0) ).

tff(f817,plain,
    ord_less(int,minus_minus(int,times_times(int,bit0(one_one(int)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(bit0(plus_plus(int,pls,m1)))),pls),
    inference(forward_demodulation,[],[f816,f313]) ).

tff(f816,plain,
    ord_less(int,minus_minus(int,times_times(int,number_number_of(int,bit0(one_one(int))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(bit0(plus_plus(int,pls,m1)))),pls),
    inference(forward_demodulation,[],[f815,f691]) ).

tff(f815,plain,
    ord_less(int,minus_minus(int,times_times(int,number_number_of(int,bit0(one_one(int))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(bit0(times_times(int,one_one(int),m1)))),pls),
    inference(forward_demodulation,[],[f814,f402]) ).

tff(f814,plain,
    ord_less(int,minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(bit0(times_times(int,bit1(pls),m1)))),pls),
    inference(forward_demodulation,[],[f813,f249]) ).

tff(f813,plain,
    ord_less(int,minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(times_times(int,bit0(bit1(pls)),m1))),pls),
    inference(forward_demodulation,[],[f812,f249]) ).

tff(f812,plain,
    ord_less(int,minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1)),pls),
    inference(forward_demodulation,[],[f811,f313]) ).

tff(f811,plain,
    ord_less(int,minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1)),pls),
    inference(forward_demodulation,[],[f326,f365]) ).

tff(f326,plain,
    ord_less(int,minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1)),zero_zero(int)),
    inference(cnf_transformation,[],[f4]) ).

tff(f4,axiom,
    ord_less(int,minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1)),zero_zero(int)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__0962_A_K_A_I1_A_L_Aint_An_J_A_N_A4_A_K_Am1_A_060_A0_096) ).

tff(f1792,plain,
    ( ~ ord_less(int,bit0(minus_minus(int,plus_plus(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))),bit0(plus_plus(int,pls,m1)))),pls)
    | ~ ord_less(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))) ),
    inference(resolution,[],[f786,f1095]) ).

tff(f1095,plain,
    ~ ord_less(int,times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),bit0(minus_minus(int,plus_plus(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))),bit0(plus_plus(int,pls,m1))))),times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),pls)),
    inference(backward_demodulation,[],[f696,f731]) ).

tff(f696,plain,
    ~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),bit0(minus_minus(int,plus_plus(int,pls,plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(plus_plus(int,pls,m1))))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
    inference(forward_demodulation,[],[f694,f691]) ).

tff(f694,plain,
    ~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),bit0(minus_minus(int,plus_plus(int,pls,plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(times_times(int,one_one(int),m1))))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
    inference(backward_demodulation,[],[f576,f691]) ).

tff(f576,plain,
    ~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),bit0(minus_minus(int,times_times(int,one_one(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),bit0(times_times(int,one_one(int),m1))))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
    inference(backward_demodulation,[],[f500,f235]) ).

tff(f500,plain,
    ~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,bit0(times_times(int,one_one(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))),bit0(bit0(times_times(int,one_one(int),m1))))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
    inference(forward_demodulation,[],[f499,f249]) ).

tff(f499,plain,
    ~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,bit0(times_times(int,one_one(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))),bit0(times_times(int,bit0(one_one(int)),m1)))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
    inference(forward_demodulation,[],[f497,f249]) ).

tff(f497,plain,
    ~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,bit0(times_times(int,one_one(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))),times_times(int,bit0(bit0(one_one(int))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
    inference(backward_demodulation,[],[f405,f249]) ).

tff(f405,plain,
    ~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,bit0(one_one(int)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(one_one(int))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
    inference(backward_demodulation,[],[f374,f402]) ).

tff(f374,plain,
    ~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,bit0(bit1(pls)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
    inference(backward_demodulation,[],[f359,f365]) ).

tff(f359,plain,
    ~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,bit0(bit1(pls)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
    inference(forward_demodulation,[],[f358,f313]) ).

tff(f358,plain,
    ~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
    inference(backward_demodulation,[],[f231,f313]) ).

tff(f231,plain,
    ~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
    inference(cnf_transformation,[],[f115]) ).

tff(f115,plain,
    ~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
    inference(flattening,[],[f114]) ).

tff(f114,negated_conjecture,
    ~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
    inference(negated_conjecture,[],[f113]) ).

tff(f113,conjecture,
    ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f786,plain,
    ! [X2: int,X0: nat,X1: int] :
      ( ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X1),times_times(int,semiring_1_of_nat(int,X0),X2))
      | ~ ord_less(int,X1,X2)
      | ~ ord_less(int,pls,semiring_1_of_nat(int,X0)) ),
    inference(resolution,[],[f246,f648]) ).

tff(f648,plain,
    ! [X0: nat] :
      ( ord_less(nat,zero_zero(nat),X0)
      | ~ ord_less(int,pls,semiring_1_of_nat(int,X0)) ),
    inference(forward_demodulation,[],[f338,f365]) ).

tff(f338,plain,
    ! [X0: nat] :
      ( ord_less(nat,zero_zero(nat),X0)
      | ~ ord_less(int,zero_zero(int),semiring_1_of_nat(int,X0)) ),
    inference(cnf_transformation,[],[f229]) ).

tff(f229,plain,
    ! [X0: nat] :
      ( ( ord_less(int,zero_zero(int),semiring_1_of_nat(int,X0))
        | ~ ord_less(nat,zero_zero(nat),X0) )
      & ( ord_less(nat,zero_zero(nat),X0)
        | ~ ord_less(int,zero_zero(int),semiring_1_of_nat(int,X0)) ) ),
    inference(nnf_transformation,[],[f173]) ).

tff(f173,plain,
    ! [X0: nat] :
      ( ord_less(int,zero_zero(int),semiring_1_of_nat(int,X0))
    <=> ord_less(nat,zero_zero(nat),X0) ),
    inference(rectify,[],[f78]) ).

tff(f78,axiom,
    ! [X19: nat] :
      ( ord_less(int,zero_zero(int),semiring_1_of_nat(int,X19))
    <=> ord_less(nat,zero_zero(nat),X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_zero__less__int__conv) ).

tff(f246,plain,
    ! [X2: int,X0: nat,X1: int] :
      ( ~ ord_less(nat,zero_zero(nat),X0)
      | ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X2),times_times(int,semiring_1_of_nat(int,X0),X1))
      | ~ ord_less(int,X2,X1) ),
    inference(cnf_transformation,[],[f179]) ).

tff(f179,plain,
    ! [X0: nat,X1: int,X2: int] :
      ( ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X2),times_times(int,semiring_1_of_nat(int,X0),X1))
      | ~ ord_less(nat,zero_zero(nat),X0)
      | ~ ord_less(int,X2,X1) ),
    inference(flattening,[],[f178]) ).

tff(f178,plain,
    ! [X0: nat,X1: int,X2: int] :
      ( ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X2),times_times(int,semiring_1_of_nat(int,X0),X1))
      | ~ ord_less(nat,zero_zero(nat),X0)
      | ~ ord_less(int,X2,X1) ),
    inference(ennf_transformation,[],[f127]) ).

tff(f127,plain,
    ! [X0: nat,X1: int,X2: int] :
      ( ord_less(int,X2,X1)
     => ( ord_less(nat,zero_zero(nat),X0)
       => ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X2),times_times(int,semiring_1_of_nat(int,X0),X1)) ) ),
    inference(rectify,[],[f79]) ).

tff(f79,axiom,
    ! [X6: nat,X20: int,X21: int] :
      ( ord_less(int,X21,X20)
     => ( ord_less(nat,zero_zero(nat),X6)
       => ord_less(int,times_times(int,semiring_1_of_nat(int,X6),X21),times_times(int,semiring_1_of_nat(int,X6),X20)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_zmult__zless__mono2__lemma) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : NUM992_5 : TPTP v8.2.0. Released v6.0.0.
% 0.05/0.12  % 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
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon May 20 04:19:37 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a TF1_THM_EQU_NAR problem
% 0.11/0.33  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
% 0.50/0.70  % (16752)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)
% 0.50/0.70  % (16754)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.50/0.70  % (16755)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.50/0.70  % (16756)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 theBenchmark for (2996ds/34Mi)
% 0.50/0.70  % (16753)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)
% 0.50/0.70  % (16757)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)
% 0.50/0.70  % (16759)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)
% 0.50/0.70  % (16758)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)
% 0.50/0.70  % (16758)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.50/0.70  % (16758)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.50/0.70  % (16759)Refutation not found, incomplete strategy% (16759)------------------------------
% 0.50/0.70  % (16759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.70  % (16759)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.70  
% 0.50/0.70  % (16759)Memory used [KB]: 1145
% 0.50/0.70  % (16759)Time elapsed: 0.005 s
% 0.50/0.70  % (16759)Instructions burned: 9 (million)
% 0.50/0.70  % (16759)------------------------------
% 0.50/0.70  % (16759)------------------------------
% 0.50/0.70  % (16757)Refutation not found, incomplete strategy% (16757)------------------------------
% 0.50/0.70  % (16757)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.70  % (16757)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.70  
% 0.50/0.70  % (16757)Memory used [KB]: 1143
% 0.50/0.70  % (16757)Time elapsed: 0.006 s
% 0.50/0.70  % (16757)Instructions burned: 9 (million)
% 0.50/0.70  % (16757)------------------------------
% 0.50/0.70  % (16757)------------------------------
% 0.50/0.70  % (16756)Refutation not found, incomplete strategy% (16756)------------------------------
% 0.50/0.70  % (16756)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.70  % (16756)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.70  
% 0.50/0.70  % (16756)Memory used [KB]: 1230
% 0.50/0.70  % (16756)Time elapsed: 0.007 s
% 0.50/0.70  % (16756)Instructions burned: 11 (million)
% 0.50/0.70  % (16756)------------------------------
% 0.50/0.70  % (16756)------------------------------
% 0.50/0.71  % (16760)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.50/0.71  % (16762)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.50/0.71  % (16761)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.50/0.71  % (16752)Instruction limit reached!
% 0.50/0.71  % (16752)------------------------------
% 0.50/0.71  % (16752)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.71  % (16752)Termination reason: Unknown
% 0.50/0.71  % (16752)Termination phase: Saturation
% 0.50/0.71  
% 0.50/0.71  % (16752)Memory used [KB]: 1358
% 0.50/0.71  % (16752)Time elapsed: 0.012 s
% 0.50/0.71  % (16752)Instructions burned: 35 (million)
% 0.50/0.71  % (16752)------------------------------
% 0.50/0.71  % (16752)------------------------------
% 0.50/0.71  % (16763)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.50/0.72  % (16755)Instruction limit reached!
% 0.50/0.72  % (16755)------------------------------
% 0.50/0.72  % (16755)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72  % (16755)Termination reason: Unknown
% 0.50/0.72  % (16755)Termination phase: Saturation
% 0.50/0.72  
% 0.50/0.72  % (16755)Memory used [KB]: 1496
% 0.50/0.72  % (16755)Time elapsed: 0.019 s
% 0.50/0.72  % (16755)Instructions burned: 33 (million)
% 0.50/0.72  % (16755)------------------------------
% 0.50/0.72  % (16755)------------------------------
% 0.50/0.72  % (16764)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.50/0.73  % (16753)Instruction limit reached!
% 0.50/0.73  % (16753)------------------------------
% 0.50/0.73  % (16753)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73  % (16753)Termination reason: Unknown
% 0.50/0.73  % (16753)Termination phase: Saturation
% 0.50/0.73  
% 0.50/0.73  % (16753)Memory used [KB]: 1699
% 0.50/0.73  % (16753)Time elapsed: 0.030 s
% 0.50/0.73  % (16753)Instructions burned: 52 (million)
% 0.50/0.73  % (16753)------------------------------
% 0.50/0.73  % (16753)------------------------------
% 0.50/0.73  % (16764)Refutation not found, incomplete strategy% (16764)------------------------------
% 0.50/0.73  % (16764)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73  % (16764)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.73  
% 0.50/0.73  % (16764)Memory used [KB]: 1212
% 0.50/0.73  % (16764)Time elapsed: 0.007 s
% 0.50/0.73  % (16764)Instructions burned: 11 (million)
% 0.50/0.73  % (16764)------------------------------
% 0.50/0.73  % (16764)------------------------------
% 0.50/0.73  % (16763)Instruction limit reached!
% 0.50/0.73  % (16763)------------------------------
% 0.50/0.73  % (16763)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73  % (16763)Termination reason: Unknown
% 0.50/0.73  % (16763)Termination phase: Saturation
% 0.50/0.73  
% 0.50/0.73  % (16763)Memory used [KB]: 1661
% 0.50/0.73  % (16763)Time elapsed: 0.020 s
% 0.50/0.73  % (16763)Instructions burned: 53 (million)
% 0.50/0.73  % (16763)------------------------------
% 0.50/0.73  % (16763)------------------------------
% 0.50/0.73  % (16766)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.50/0.73  % (16765)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.50/0.73  % (16761)Instruction limit reached!
% 0.50/0.73  % (16761)------------------------------
% 0.50/0.73  % (16761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73  % (16761)Termination reason: Unknown
% 0.50/0.73  % (16761)Termination phase: Saturation
% 0.50/0.73  
% 0.50/0.73  % (16761)Memory used [KB]: 1742
% 0.50/0.73  % (16761)Time elapsed: 0.026 s
% 0.50/0.73  % (16761)Instructions burned: 50 (million)
% 0.50/0.73  % (16761)------------------------------
% 0.50/0.73  % (16761)------------------------------
% 0.50/0.73  % (16767)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.50/0.73  % (16766)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.50/0.73  % (16760)Instruction limit reached!
% 0.50/0.73  % (16760)------------------------------
% 0.50/0.73  % (16760)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73  % (16767)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.50/0.73  % (16760)Termination reason: Unknown
% 0.50/0.73  % (16760)Termination phase: Saturation
% 0.50/0.73  
% 0.50/0.73  % (16760)Memory used [KB]: 1652
% 0.50/0.73  % (16760)Time elapsed: 0.029 s
% 0.50/0.73  % (16760)Instructions burned: 55 (million)
% 0.50/0.73  % (16760)------------------------------
% 0.50/0.73  % (16760)------------------------------
% 0.50/0.74  % (16758)Instruction limit reached!
% 0.50/0.74  % (16758)------------------------------
% 0.50/0.74  % (16758)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.74  % (16758)Termination reason: Unknown
% 0.50/0.74  % (16758)Termination phase: Saturation
% 0.50/0.74  % (16765)Refutation not found, incomplete strategy% (16765)------------------------------
% 0.50/0.74  % (16765)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.74  
% 0.50/0.74  % (16758)Memory used [KB]: 1694
% 0.50/0.74  % (16758)Time elapsed: 0.040 s
% 0.50/0.74  % (16758)Instructions burned: 84 (million)
% 0.50/0.74  % (16758)------------------------------
% 0.50/0.74  % (16758)------------------------------
% 0.50/0.74  % (16765)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.74  
% 0.50/0.74  % (16765)Memory used [KB]: 1233
% 0.50/0.74  % (16765)Time elapsed: 0.006 s
% 0.50/0.74  % (16765)Instructions burned: 11 (million)
% 0.50/0.74  % (16769)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2996ds/93Mi)
% 0.50/0.74  % (16765)------------------------------
% 0.50/0.74  % (16765)------------------------------
% 0.50/0.74  % (16769)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.50/0.74  % (16768)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2996ds/143Mi)
% 0.50/0.74  % (16768)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.74/0.74  % (16754)Instruction limit reached!
% 0.74/0.74  % (16754)------------------------------
% 0.74/0.74  % (16754)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.74  % (16754)Termination reason: Unknown
% 0.74/0.74  % (16754)Termination phase: Saturation
% 0.74/0.74  
% 0.74/0.74  % (16754)Memory used [KB]: 2046
% 0.74/0.74  % (16754)Time elapsed: 0.043 s
% 0.74/0.74  % (16754)Instructions burned: 79 (million)
% 0.74/0.74  % (16754)------------------------------
% 0.74/0.74  % (16754)------------------------------
% 0.74/0.74  % (16771)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2996ds/32Mi)
% 0.74/0.74  % (16770)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2996ds/62Mi)
% 0.74/0.74  % (16771)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.74/0.74  % (16770)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.74/0.75  % (16772)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.74/0.76  % (16771)Instruction limit reached!
% 0.74/0.76  % (16771)------------------------------
% 0.74/0.76  % (16771)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.76  % (16771)Termination reason: Unknown
% 0.74/0.76  % (16771)Termination phase: Saturation
% 0.74/0.76  
% 0.74/0.76  % (16771)Memory used [KB]: 1409
% 0.74/0.76  % (16771)Time elapsed: 0.018 s
% 0.74/0.76  % (16771)Instructions burned: 33 (million)
% 0.74/0.76  % (16771)------------------------------
% 0.74/0.76  % (16771)------------------------------
% 0.74/0.76  % (16773)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.74/0.76  % (16773)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.77  % (16767)Instruction limit reached!
% 0.81/0.77  % (16767)------------------------------
% 0.81/0.77  % (16767)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.77  % (16767)Termination reason: Unknown
% 0.81/0.77  % (16767)Termination phase: Saturation
% 0.81/0.77  
% 0.81/0.77  % (16767)Memory used [KB]: 1823
% 0.81/0.77  % (16767)Time elapsed: 0.037 s
% 0.81/0.77  % (16767)Instructions burned: 120 (million)
% 0.81/0.77  % (16767)------------------------------
% 0.81/0.77  % (16767)------------------------------
% 0.81/0.77  % (16774)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 0.81/0.77  % (16774)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.77  % (16770)Instruction limit reached!
% 0.81/0.77  % (16770)------------------------------
% 0.81/0.77  % (16770)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.77  % (16770)Termination reason: Unknown
% 0.81/0.77  % (16770)Termination phase: Saturation
% 0.81/0.77  
% 0.81/0.77  % (16770)Memory used [KB]: 1942
% 0.81/0.77  % (16770)Time elapsed: 0.033 s
% 0.81/0.77  % (16770)Instructions burned: 62 (million)
% 0.81/0.77  % (16770)------------------------------
% 0.81/0.77  % (16770)------------------------------
% 0.81/0.78  % (16769)Instruction limit reached!
% 0.81/0.78  % (16769)------------------------------
% 0.81/0.78  % (16769)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.78  % (16769)Termination reason: Unknown
% 0.81/0.78  % (16769)Termination phase: Saturation
% 0.81/0.78  
% 0.81/0.78  % (16769)Memory used [KB]: 1905
% 0.81/0.78  % (16769)Time elapsed: 0.047 s
% 0.81/0.78  % (16769)Instructions burned: 94 (million)
% 0.81/0.78  % (16769)------------------------------
% 0.81/0.78  % (16769)------------------------------
% 0.81/0.78  % (16774)Instruction limit reached!
% 0.81/0.78  % (16774)------------------------------
% 0.81/0.78  % (16774)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.78  % (16774)Termination reason: Unknown
% 0.81/0.78  % (16774)Termination phase: Saturation
% 0.81/0.78  
% 0.81/0.78  % (16774)Memory used [KB]: 1473
% 0.81/0.78  % (16774)Time elapsed: 0.014 s
% 0.81/0.78  % (16774)Instructions burned: 54 (million)
% 0.81/0.78  % (16774)------------------------------
% 0.81/0.78  % (16774)------------------------------
% 0.81/0.79  % (16775)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 0.81/0.79  % (16777)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2995ds/35Mi)
% 0.81/0.79  % (16776)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2995ds/102Mi)
% 0.81/0.79  % (16775)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.79  % (16773)Instruction limit reached!
% 0.81/0.79  % (16773)------------------------------
% 0.81/0.79  % (16773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.79  % (16773)Termination reason: Unknown
% 0.81/0.79  % (16773)Termination phase: Saturation
% 0.81/0.79  
% 0.81/0.79  % (16773)Memory used [KB]: 1797
% 0.81/0.79  % (16773)Time elapsed: 0.028 s
% 0.81/0.79  % (16773)Instructions burned: 55 (million)
% 0.81/0.79  % (16773)------------------------------
% 0.81/0.79  % (16773)------------------------------
% 0.81/0.79  % (16778)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2995ds/87Mi)
% 0.81/0.79  % (16778)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.80  % (16777)Instruction limit reached!
% 0.81/0.80  % (16777)------------------------------
% 0.81/0.80  % (16777)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.80  % (16777)Termination reason: Unknown
% 0.81/0.80  % (16777)Termination phase: Saturation
% 0.81/0.80  
% 0.81/0.80  % (16777)Memory used [KB]: 1582
% 0.81/0.80  % (16777)Time elapsed: 0.012 s
% 0.81/0.80  % (16777)Instructions burned: 37 (million)
% 0.81/0.80  % (16777)------------------------------
% 0.81/0.80  % (16777)------------------------------
% 0.81/0.80  % (16772)First to succeed.
% 0.81/0.80  % (16779)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2995ds/109Mi)
% 0.81/0.80  % (16772)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16751"
% 0.81/0.80  % (16772)Refutation found. Thanks to Tanya!
% 0.81/0.80  % SZS status Theorem for theBenchmark
% 0.81/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.81/0.80  % (16772)------------------------------
% 0.81/0.80  % (16772)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.80  % (16772)Termination reason: Refutation
% 0.81/0.80  
% 0.81/0.80  % (16772)Memory used [KB]: 1746
% 0.81/0.80  % (16772)Time elapsed: 0.074 s
% 0.81/0.80  % (16772)Instructions burned: 98 (million)
% 0.81/0.80  % (16751)Success in time 0.458 s
% 0.81/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------