TSTP Solution File: SWW487_5 by Vampire---4.9

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%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW487_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n010.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 Jun 24 18:33:14 EDT 2024

% Result   : Theorem 1.33s 0.56s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   78 (  19 unt;   0 typ;   0 def)
%            Number of atoms       :  168 (  72 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  160 (  70   ~;  62   |;   7   &)
%                                         (   7 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :   14 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   29 (  27 usr;   5 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;   3 con; 0-5 aty)
%            Number of variables   :  111 ( 111   !;   0   ?; 111   :)

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

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

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

tff(type_def_8,type,
    poly: $tType > $tType ).

tff(type_def_9,type,
    fun: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    combb: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,X1),fun(fun(X2,X0),fun(X2,X1))) ).

tff(func_def_1,type,
    combc: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).

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

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

tff(func_def_4,type,
    fundam296178794t_poly: 
      !>[X0: $tType] : ( ( poly(X0) * X0 ) > poly(X0) ) ).

tff(func_def_5,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_6,type,
    times_times: 
      !>[X0: $tType] : ( X0 > fun(X0,X0) ) ).

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

tff(func_def_8,type,
    if: 
      !>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).

tff(func_def_9,type,
    abs_poly: 
      !>[X0: $tType] : ( fun(nat,X0) > poly(X0) ) ).

tff(func_def_10,type,
    coeff: 
      !>[X0: $tType] : ( poly(X0) > fun(nat,X0) ) ).

tff(func_def_11,type,
    order: 
      !>[X0: $tType] : ( ( X0 * poly(X0) ) > nat ) ).

tff(func_def_12,type,
    pCons: 
      !>[X0: $tType] : fun(X0,fun(poly(X0),poly(X0))) ).

tff(func_def_13,type,
    pcompose: 
      !>[X0: $tType] : ( ( poly(X0) * poly(X0) ) > poly(X0) ) ).

tff(func_def_14,type,
    poly1: 
      !>[X0: $tType] : ( poly(X0) > fun(X0,X0) ) ).

tff(func_def_15,type,
    poly_rec: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(poly(X1),fun(X0,X0))) * poly(X1) ) > X0 ) ).

tff(func_def_16,type,
    smult: 
      !>[X0: $tType] : fun(X0,fun(poly(X0),poly(X0))) ).

tff(func_def_17,type,
    synthetic_div: 
      !>[X0: $tType] : ( ( poly(X0) * X0 ) > poly(X0) ) ).

tff(func_def_18,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_19,type,
    fFalse: bool ).

tff(func_def_20,type,
    fTrue: bool ).

tff(func_def_21,type,
    fequal: 
      !>[X0: $tType] : ( ( X0 * X0 ) > bool ) ).

tff(func_def_22,type,
    h: a ).

tff(func_def_23,type,
    sK0: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_24,type,
    sK1: 
      !>[X0: $tType] : ( poly(X0) > X0 ) ).

tff(func_def_25,type,
    sK2: 
      !>[X0: $tType] : ( poly(X0) > poly(X0) ) ).

tff(pred_def_1,type,
    cancel1352612707id_add: 
      !>[X0: $tType] : $o ).

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

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

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

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

tff(pred_def_6,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

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

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

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

tff(pred_def_10,type,
    comm_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

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

tff(pred_def_14,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    ring_n68954251visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    linord581940658strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    cancel146912293up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    linord219039673up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    ab_sem1668676832m_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_22,type,
    semiri456707255roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_23,type,
    pp: bool > $o ).

tff(f739,plain,
    $false,
    inference(avatar_sat_refutation,[],[f529,f532,f714,f725,f738]) ).

tff(f738,plain,
    spl3_7,
    inference(avatar_contradiction_clause,[],[f737]) ).

tff(f737,plain,
    ( $false
    | spl3_7 ),
    inference(subsumption_resolution,[],[f736,f287]) ).

tff(f287,plain,
    comm_semiring_0(a),
    inference(cnf_transformation,[],[f157]) ).

tff(f157,axiom,
    comm_semiring_0(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f736,plain,
    ( ~ comm_semiring_0(a)
    | spl3_7 ),
    inference(trivial_inequality_removal,[],[f735]) ).

tff(f735,plain,
    ( ( zero_zero(poly(a)) != zero_zero(poly(a)) )
    | ~ comm_semiring_0(a)
    | spl3_7 ),
    inference(superposition,[],[f713,f316]) ).

tff(f316,plain,
    ! [X0: $tType,X1: X0] :
      ( ( zero_zero(poly(X0)) = aa(poly(X0),poly(X0),aa(X0,fun(poly(X0),poly(X0)),smult(X0),X1),zero_zero(poly(X0))) )
      | ~ comm_semiring_0(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tff(f239,plain,
    ! [X0: $tType] :
      ( ! [X1: X0] : ( zero_zero(poly(X0)) = aa(poly(X0),poly(X0),aa(X0,fun(poly(X0),poly(X0)),smult(X0),X1),zero_zero(poly(X0))) )
      | ~ comm_semiring_0(X0) ),
    inference(ennf_transformation,[],[f182]) ).

tff(f182,plain,
    ! [X0: $tType] :
      ( comm_semiring_0(X0)
     => ! [X1: X0] : ( zero_zero(poly(X0)) = aa(poly(X0),poly(X0),aa(X0,fun(poly(X0),poly(X0)),smult(X0),X1),zero_zero(poly(X0))) ) ),
    inference(rectify,[],[f7]) ).

tff(f7,axiom,
    ! [X0: $tType] :
      ( comm_semiring_0(X0)
     => ! [X8: X0] : ( zero_zero(poly(X0)) = aa(poly(X0),poly(X0),aa(X0,fun(poly(X0),poly(X0)),smult(X0),X8),zero_zero(poly(X0))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f713,plain,
    ( ( zero_zero(poly(a)) != aa(poly(a),poly(a),aa(a,fun(poly(a),poly(a)),smult(a),h),zero_zero(poly(a))) )
    | spl3_7 ),
    inference(avatar_component_clause,[],[f711]) ).

tff(f711,plain,
    ( spl3_7
  <=> ( zero_zero(poly(a)) = aa(poly(a),poly(a),aa(a,fun(poly(a),poly(a)),smult(a),h),zero_zero(poly(a))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

tff(f725,plain,
    spl3_6,
    inference(avatar_contradiction_clause,[],[f724]) ).

tff(f724,plain,
    ( $false
    | spl3_6 ),
    inference(subsumption_resolution,[],[f723,f287]) ).

tff(f723,plain,
    ( ~ comm_semiring_0(a)
    | spl3_6 ),
    inference(resolution,[],[f718,f325]) ).

tff(f325,plain,
    ! [X0: $tType] :
      ( comm_monoid_add(X0)
      | ~ comm_semiring_0(X0) ),
    inference(cnf_transformation,[],[f245]) ).

tff(f245,plain,
    ! [X0: $tType] :
      ( comm_monoid_add(X0)
      | ~ comm_semiring_0(X0) ),
    inference(ennf_transformation,[],[f102]) ).

tff(f102,axiom,
    ! [X0: $tType] :
      ( comm_semiring_0(X0)
     => comm_monoid_add(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f718,plain,
    ( ~ comm_monoid_add(a)
    | spl3_6 ),
    inference(resolution,[],[f709,f331]) ).

tff(f331,plain,
    ! [X0: $tType] :
      ( comm_monoid_add(poly(X0))
      | ~ comm_monoid_add(X0) ),
    inference(cnf_transformation,[],[f251]) ).

tff(f251,plain,
    ! [X0: $tType] :
      ( comm_monoid_add(poly(X0))
      | ~ comm_monoid_add(X0) ),
    inference(ennf_transformation,[],[f193]) ).

tff(f193,plain,
    ! [X0: $tType] :
      ( comm_monoid_add(X0)
     => comm_monoid_add(poly(X0)) ),
    inference(rectify,[],[f134]) ).

tff(f134,axiom,
    ! [X38: $tType] :
      ( comm_monoid_add(X38)
     => comm_monoid_add(poly(X38)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f709,plain,
    ( ~ comm_monoid_add(poly(a))
    | spl3_6 ),
    inference(avatar_component_clause,[],[f707]) ).

tff(f707,plain,
    ( spl3_6
  <=> comm_monoid_add(poly(a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

tff(f714,plain,
    ( ~ spl3_6
    | ~ spl3_7
    | ~ spl3_4
    | spl3_5 ),
    inference(avatar_split_clause,[],[f704,f526,f522,f711,f707]) ).

tff(f522,plain,
    ( spl3_4
  <=> zero(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

tff(f526,plain,
    ( spl3_5
  <=> ( zero_zero(poly(a)) = aa(poly(a),poly(a),aa(poly(a),fun(poly(a),poly(a)),plus_plus(poly(a)),aa(poly(a),poly(a),aa(a,fun(poly(a),poly(a)),smult(a),h),zero_zero(poly(a)))),aa(poly(a),poly(a),aa(a,fun(poly(a),poly(a)),pCons(a),zero_zero(a)),zero_zero(poly(a)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

tff(f704,plain,
    ( ( zero_zero(poly(a)) != aa(poly(a),poly(a),aa(a,fun(poly(a),poly(a)),smult(a),h),zero_zero(poly(a))) )
    | ~ comm_monoid_add(poly(a))
    | ~ spl3_4
    | spl3_5 ),
    inference(superposition,[],[f699,f330]) ).

tff(f330,plain,
    ! [X0: $tType,X1: X0] :
      ( ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 )
      | ~ comm_monoid_add(X0) ),
    inference(cnf_transformation,[],[f250]) ).

tff(f250,plain,
    ! [X0: $tType] :
      ( ! [X1: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 )
      | ~ comm_monoid_add(X0) ),
    inference(ennf_transformation,[],[f192]) ).

tff(f192,plain,
    ! [X0: $tType] :
      ( comm_monoid_add(X0)
     => ! [X1: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 ) ),
    inference(rectify,[],[f21]) ).

tff(f21,axiom,
    ! [X0: $tType] :
      ( comm_monoid_add(X0)
     => ! [X8: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X8),zero_zero(X0)) = X8 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f699,plain,
    ( ( zero_zero(poly(a)) != aa(poly(a),poly(a),aa(poly(a),fun(poly(a),poly(a)),plus_plus(poly(a)),aa(poly(a),poly(a),aa(a,fun(poly(a),poly(a)),smult(a),h),zero_zero(poly(a)))),zero_zero(poly(a))) )
    | ~ spl3_4
    | spl3_5 ),
    inference(subsumption_resolution,[],[f697,f523]) ).

tff(f523,plain,
    ( zero(a)
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f522]) ).

tff(f697,plain,
    ( ( zero_zero(poly(a)) != aa(poly(a),poly(a),aa(poly(a),fun(poly(a),poly(a)),plus_plus(poly(a)),aa(poly(a),poly(a),aa(a,fun(poly(a),poly(a)),smult(a),h),zero_zero(poly(a)))),zero_zero(poly(a))) )
    | ~ zero(a)
    | spl3_5 ),
    inference(superposition,[],[f528,f362]) ).

tff(f362,plain,
    ! [X0: $tType] :
      ( ( zero_zero(poly(X0)) = aa(poly(X0),poly(X0),aa(X0,fun(poly(X0),poly(X0)),pCons(X0),zero_zero(X0)),zero_zero(poly(X0))) )
      | ~ zero(X0) ),
    inference(equality_resolution,[],[f361]) ).

tff(f361,plain,
    ! [X0: $tType,X2: X0] :
      ( ( zero_zero(poly(X0)) = aa(poly(X0),poly(X0),aa(X0,fun(poly(X0),poly(X0)),pCons(X0),X2),zero_zero(poly(X0))) )
      | ( zero_zero(X0) != X2 )
      | ~ zero(X0) ),
    inference(equality_resolution,[],[f306]) ).

tff(f306,plain,
    ! [X0: $tType,X2: X0,X1: poly(X0)] :
      ( ( zero_zero(poly(X0)) = aa(poly(X0),poly(X0),aa(X0,fun(poly(X0),poly(X0)),pCons(X0),X2),X1) )
      | ( zero_zero(poly(X0)) != X1 )
      | ( zero_zero(X0) != X2 )
      | ~ zero(X0) ),
    inference(cnf_transformation,[],[f282]) ).

tff(f282,plain,
    ! [X0: $tType] :
      ( ! [X1: poly(X0),X2: X0] :
          ( ( ( zero_zero(poly(X0)) = aa(poly(X0),poly(X0),aa(X0,fun(poly(X0),poly(X0)),pCons(X0),X2),X1) )
            | ( zero_zero(poly(X0)) != X1 )
            | ( zero_zero(X0) != X2 ) )
          & ( ( ( zero_zero(poly(X0)) = X1 )
              & ( zero_zero(X0) = X2 ) )
            | ( zero_zero(poly(X0)) != aa(poly(X0),poly(X0),aa(X0,fun(poly(X0),poly(X0)),pCons(X0),X2),X1) ) ) )
      | ~ zero(X0) ),
    inference(flattening,[],[f281]) ).

tff(f281,plain,
    ! [X0: $tType] :
      ( ! [X1: poly(X0),X2: X0] :
          ( ( ( zero_zero(poly(X0)) = aa(poly(X0),poly(X0),aa(X0,fun(poly(X0),poly(X0)),pCons(X0),X2),X1) )
            | ( zero_zero(poly(X0)) != X1 )
            | ( zero_zero(X0) != X2 ) )
          & ( ( ( zero_zero(poly(X0)) = X1 )
              & ( zero_zero(X0) = X2 ) )
            | ( zero_zero(poly(X0)) != aa(poly(X0),poly(X0),aa(X0,fun(poly(X0),poly(X0)),pCons(X0),X2),X1) ) ) )
      | ~ zero(X0) ),
    inference(nnf_transformation,[],[f229]) ).

tff(f229,plain,
    ! [X0: $tType] :
      ( ! [X1: poly(X0),X2: X0] :
          ( ( zero_zero(poly(X0)) = aa(poly(X0),poly(X0),aa(X0,fun(poly(X0),poly(X0)),pCons(X0),X2),X1) )
        <=> ( ( zero_zero(poly(X0)) = X1 )
            & ( zero_zero(X0) = X2 ) ) )
      | ~ zero(X0) ),
    inference(ennf_transformation,[],[f173]) ).

tff(f173,plain,
    ! [X0: $tType] :
      ( zero(X0)
     => ! [X1: poly(X0),X2: X0] :
          ( ( zero_zero(poly(X0)) = aa(poly(X0),poly(X0),aa(X0,fun(poly(X0),poly(X0)),pCons(X0),X2),X1) )
        <=> ( ( zero_zero(poly(X0)) = X1 )
            & ( zero_zero(X0) = X2 ) ) ) ),
    inference(rectify,[],[f6]) ).

tff(f6,axiom,
    ! [X1: $tType] :
      ( zero(X1)
     => ! [X4: poly(X1),X9: X1] :
          ( ( zero_zero(poly(X1)) = aa(poly(X1),poly(X1),aa(X1,fun(poly(X1),poly(X1)),pCons(X1),X9),X4) )
        <=> ( ( zero_zero(poly(X1)) = X4 )
            & ( zero_zero(X1) = X9 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f528,plain,
    ( ( zero_zero(poly(a)) != aa(poly(a),poly(a),aa(poly(a),fun(poly(a),poly(a)),plus_plus(poly(a)),aa(poly(a),poly(a),aa(a,fun(poly(a),poly(a)),smult(a),h),zero_zero(poly(a)))),aa(poly(a),poly(a),aa(a,fun(poly(a),poly(a)),pCons(a),zero_zero(a)),zero_zero(poly(a)))) )
    | spl3_5 ),
    inference(avatar_component_clause,[],[f526]) ).

tff(f532,plain,
    spl3_4,
    inference(avatar_contradiction_clause,[],[f531]) ).

tff(f531,plain,
    ( $false
    | spl3_4 ),
    inference(subsumption_resolution,[],[f530,f287]) ).

tff(f530,plain,
    ( ~ comm_semiring_0(a)
    | spl3_4 ),
    inference(resolution,[],[f524,f333]) ).

tff(f333,plain,
    ! [X0: $tType] :
      ( zero(X0)
      | ~ comm_semiring_0(X0) ),
    inference(cnf_transformation,[],[f252]) ).

tff(f252,plain,
    ! [X0: $tType] :
      ( zero(X0)
      | ~ comm_semiring_0(X0) ),
    inference(ennf_transformation,[],[f107]) ).

tff(f107,axiom,
    ! [X0: $tType] :
      ( comm_semiring_0(X0)
     => zero(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f524,plain,
    ( ~ zero(a)
    | spl3_4 ),
    inference(avatar_component_clause,[],[f522]) ).

tff(f529,plain,
    ( ~ spl3_4
    | ~ spl3_5 ),
    inference(avatar_split_clause,[],[f520,f526,f522]) ).

tff(f520,plain,
    ( ( zero_zero(poly(a)) != aa(poly(a),poly(a),aa(poly(a),fun(poly(a),poly(a)),plus_plus(poly(a)),aa(poly(a),poly(a),aa(a,fun(poly(a),poly(a)),smult(a),h),zero_zero(poly(a)))),aa(poly(a),poly(a),aa(a,fun(poly(a),poly(a)),pCons(a),zero_zero(a)),zero_zero(poly(a)))) )
    | ~ zero(a) ),
    inference(forward_demodulation,[],[f519,f289]) ).

tff(f289,plain,
    ! [X1: $tType,X0: $tType,X2: $tType,X3: X2,X4: fun(X2,X1),X5: fun(X1,X0)] : ( aa(X2,X0,aa(fun(X2,X1),fun(X2,X0),aa(fun(X1,X0),fun(fun(X2,X1),fun(X2,X0)),combb(X1,X0,X2),X5),X4),X3) = aa(X1,X0,X5,aa(X2,X1,X4,X3)) ),
    inference(cnf_transformation,[],[f160]) ).

tff(f160,plain,
    ! [X0: $tType,X1: $tType,X2: $tType,X3: X2,X4: fun(X2,X1),X5: fun(X1,X0)] : ( aa(X2,X0,aa(fun(X2,X1),fun(X2,X0),aa(fun(X1,X0),fun(fun(X2,X1),fun(X2,X0)),combb(X1,X0,X2),X5),X4),X3) = aa(X1,X0,X5,aa(X2,X1,X4,X3)) ),
    inference(rectify,[],[f149]) ).

tff(f149,axiom,
    ! [X2: $tType,X1: $tType,X0: $tType,X40: X0,X41: fun(X0,X1),X39: fun(X1,X2)] : ( aa(X0,X2,aa(fun(X0,X1),fun(X0,X2),aa(fun(X1,X2),fun(fun(X0,X1),fun(X0,X2)),combb(X1,X2,X0),X39),X41),X40) = aa(X1,X2,X39,aa(X0,X1,X41,X40)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f519,plain,
    ( ( zero_zero(poly(a)) != aa(poly(a),poly(a),aa(poly(a),fun(poly(a),poly(a)),aa(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),aa(fun(poly(a),fun(poly(a),poly(a))),fun(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a)))),combb(poly(a),fun(poly(a),poly(a)),poly(a)),plus_plus(poly(a))),aa(a,fun(poly(a),poly(a)),smult(a),h)),zero_zero(poly(a))),aa(poly(a),poly(a),aa(a,fun(poly(a),poly(a)),pCons(a),zero_zero(a)),zero_zero(poly(a)))) )
    | ~ zero(a) ),
    inference(forward_demodulation,[],[f518,f291]) ).

tff(f291,plain,
    ! [X1: $tType,X0: $tType,X2: $tType,X3: X2,X4: fun(X2,X1),X5: fun(X2,fun(X1,X0))] : ( aa(X2,X0,aa(fun(X2,X1),fun(X2,X0),combs(X2,X1,X0,X5),X4),X3) = aa(X1,X0,aa(X2,fun(X1,X0),X5,X3),aa(X2,X1,X4,X3)) ),
    inference(cnf_transformation,[],[f162]) ).

tff(f162,plain,
    ! [X0: $tType,X1: $tType,X2: $tType,X3: X2,X4: fun(X2,X1),X5: fun(X2,fun(X1,X0))] : ( aa(X2,X0,aa(fun(X2,X1),fun(X2,X0),combs(X2,X1,X0,X5),X4),X3) = aa(X1,X0,aa(X2,fun(X1,X0),X5,X3),aa(X2,X1,X4,X3)) ),
    inference(rectify,[],[f152]) ).

tff(f152,axiom,
    ! [X2: $tType,X1: $tType,X0: $tType,X40: X0,X41: fun(X0,X1),X39: fun(X0,fun(X1,X2))] : ( aa(X0,X2,aa(fun(X0,X1),fun(X0,X2),combs(X0,X1,X2,X39),X41),X40) = aa(X1,X2,aa(X0,fun(X1,X2),X39,X40),aa(X0,X1,X41,X40)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f518,plain,
    ( ( zero_zero(poly(a)) != aa(poly(a),poly(a),aa(fun(poly(a),poly(a)),fun(poly(a),poly(a)),combs(poly(a),poly(a),poly(a),aa(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),aa(fun(poly(a),fun(poly(a),poly(a))),fun(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a)))),combb(poly(a),fun(poly(a),poly(a)),poly(a)),plus_plus(poly(a))),aa(a,fun(poly(a),poly(a)),smult(a),h))),aa(a,fun(poly(a),poly(a)),pCons(a),zero_zero(a))),zero_zero(poly(a))) )
    | ~ zero(a) ),
    inference(forward_demodulation,[],[f517,f289]) ).

tff(f517,plain,
    ( ( zero_zero(poly(a)) != aa(poly(a),poly(a),aa(a,fun(poly(a),poly(a)),aa(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),poly(a))),aa(fun(fun(poly(a),poly(a)),fun(poly(a),poly(a))),fun(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),poly(a)))),combb(fun(poly(a),poly(a)),fun(poly(a),poly(a)),a),combs(poly(a),poly(a),poly(a),aa(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),aa(fun(poly(a),fun(poly(a),poly(a))),fun(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a)))),combb(poly(a),fun(poly(a),poly(a)),poly(a)),plus_plus(poly(a))),aa(a,fun(poly(a),poly(a)),smult(a),h)))),pCons(a)),zero_zero(a)),zero_zero(poly(a))) )
    | ~ zero(a) ),
    inference(forward_demodulation,[],[f516,f290]) ).

tff(f290,plain,
    ! [X1: $tType,X0: $tType,X2: X0,X3: X1] : ( aa(X0,X1,aa(X1,fun(X0,X1),combk(X1,X0),X3),X2) = X3 ),
    inference(cnf_transformation,[],[f161]) ).

tff(f161,plain,
    ! [X0: $tType,X1: $tType,X2: X0,X3: X1] : ( aa(X0,X1,aa(X1,fun(X0,X1),combk(X1,X0),X3),X2) = X3 ),
    inference(rectify,[],[f151]) ).

tff(f151,axiom,
    ! [X1: $tType,X0: $tType,X41: X1,X39: X0] : ( aa(X1,X0,aa(X0,fun(X1,X0),combk(X0,X1),X39),X41) = X39 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f516,plain,
    ( ( zero_zero(poly(a)) != aa(poly(a),poly(a),aa(poly(a),fun(poly(a),poly(a)),aa(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),combk(fun(poly(a),poly(a)),poly(a)),aa(a,fun(poly(a),poly(a)),aa(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),poly(a))),aa(fun(fun(poly(a),poly(a)),fun(poly(a),poly(a))),fun(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),poly(a)))),combb(fun(poly(a),poly(a)),fun(poly(a),poly(a)),a),combs(poly(a),poly(a),poly(a),aa(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),aa(fun(poly(a),fun(poly(a),poly(a))),fun(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a)))),combb(poly(a),fun(poly(a),poly(a)),poly(a)),plus_plus(poly(a))),aa(a,fun(poly(a),poly(a)),smult(a),h)))),pCons(a)),zero_zero(a))),zero_zero(poly(a))),zero_zero(poly(a))) )
    | ~ zero(a) ),
    inference(forward_demodulation,[],[f515,f289]) ).

tff(f515,plain,
    ( ( zero_zero(poly(a)) != aa(poly(a),poly(a),aa(poly(a),fun(poly(a),poly(a)),aa(a,fun(poly(a),fun(poly(a),poly(a))),aa(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),fun(poly(a),poly(a)))),aa(fun(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a)))),fun(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),fun(poly(a),poly(a))))),combb(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),a),combk(fun(poly(a),poly(a)),poly(a))),aa(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),poly(a))),aa(fun(fun(poly(a),poly(a)),fun(poly(a),poly(a))),fun(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),poly(a)))),combb(fun(poly(a),poly(a)),fun(poly(a),poly(a)),a),combs(poly(a),poly(a),poly(a),aa(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),aa(fun(poly(a),fun(poly(a),poly(a))),fun(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a)))),combb(poly(a),fun(poly(a),poly(a)),poly(a)),plus_plus(poly(a))),aa(a,fun(poly(a),poly(a)),smult(a),h)))),pCons(a))),zero_zero(a)),zero_zero(poly(a))),zero_zero(poly(a))) )
    | ~ zero(a) ),
    inference(trivial_inequality_removal,[],[f514]) ).

tff(f514,plain,
    ( ( zero_zero(poly(a)) != zero_zero(poly(a)) )
    | ( zero_zero(poly(a)) != aa(poly(a),poly(a),aa(poly(a),fun(poly(a),poly(a)),aa(a,fun(poly(a),fun(poly(a),poly(a))),aa(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),fun(poly(a),poly(a)))),aa(fun(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a)))),fun(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),fun(poly(a),poly(a))))),combb(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),a),combk(fun(poly(a),poly(a)),poly(a))),aa(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),poly(a))),aa(fun(fun(poly(a),poly(a)),fun(poly(a),poly(a))),fun(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),poly(a)))),combb(fun(poly(a),poly(a)),fun(poly(a),poly(a)),a),combs(poly(a),poly(a),poly(a),aa(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),aa(fun(poly(a),fun(poly(a),poly(a))),fun(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a)))),combb(poly(a),fun(poly(a),poly(a)),poly(a)),plus_plus(poly(a))),aa(a,fun(poly(a),poly(a)),smult(a),h)))),pCons(a))),zero_zero(a)),zero_zero(poly(a))),zero_zero(poly(a))) )
    | ~ zero(a) ),
    inference(superposition,[],[f286,f310]) ).

tff(f310,plain,
    ! [X1: $tType,X0: $tType,X2: X1,X3: fun(X0,fun(poly(X0),fun(X1,X1)))] :
      ( ( poly_rec(X1,X0,X2,X3,zero_zero(poly(X0))) = X2 )
      | ( aa(X1,X1,aa(poly(X0),fun(X1,X1),aa(X0,fun(poly(X0),fun(X1,X1)),X3,zero_zero(X0)),zero_zero(poly(X0))),X2) != X2 )
      | ~ zero(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tff(f233,plain,
    ! [X0: $tType,X1: $tType] :
      ( ! [X2: X1,X3: fun(X0,fun(poly(X0),fun(X1,X1)))] :
          ( ( poly_rec(X1,X0,X2,X3,zero_zero(poly(X0))) = X2 )
          | ( aa(X1,X1,aa(poly(X0),fun(X1,X1),aa(X0,fun(poly(X0),fun(X1,X1)),X3,zero_zero(X0)),zero_zero(poly(X0))),X2) != X2 ) )
      | ~ zero(X0) ),
    inference(ennf_transformation,[],[f176]) ).

tff(f176,plain,
    ! [X0: $tType,X1: $tType] :
      ( zero(X0)
     => ! [X2: X1,X3: fun(X0,fun(poly(X0),fun(X1,X1)))] :
          ( ( aa(X1,X1,aa(poly(X0),fun(X1,X1),aa(X0,fun(poly(X0),fun(X1,X1)),X3,zero_zero(X0)),zero_zero(poly(X0))),X2) = X2 )
         => ( poly_rec(X1,X0,X2,X3,zero_zero(poly(X0))) = X2 ) ) ),
    inference(rectify,[],[f12]) ).

tff(f12,axiom,
    ! [X2: $tType,X1: $tType] :
      ( zero(X2)
     => ! [X10: X1,X11: fun(X2,fun(poly(X2),fun(X1,X1)))] :
          ( ( aa(X1,X1,aa(poly(X2),fun(X1,X1),aa(X2,fun(poly(X2),fun(X1,X1)),X11,zero_zero(X2)),zero_zero(poly(X2))),X10) = X10 )
         => ( poly_rec(X1,X2,X10,X11,zero_zero(poly(X2))) = X10 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f286,plain,
    zero_zero(poly(a)) != poly_rec(poly(a),a,zero_zero(poly(a)),aa(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),fun(poly(a),poly(a)))),aa(fun(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a)))),fun(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),fun(poly(a),poly(a))))),combb(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),a),combk(fun(poly(a),poly(a)),poly(a))),aa(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),poly(a))),aa(fun(fun(poly(a),poly(a)),fun(poly(a),poly(a))),fun(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),poly(a)))),combb(fun(poly(a),poly(a)),fun(poly(a),poly(a)),a),combs(poly(a),poly(a),poly(a),aa(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),aa(fun(poly(a),fun(poly(a),poly(a))),fun(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a)))),combb(poly(a),fun(poly(a),poly(a)),poly(a)),plus_plus(poly(a))),aa(a,fun(poly(a),poly(a)),smult(a),h)))),pCons(a))),zero_zero(poly(a))),
    inference(cnf_transformation,[],[f158]) ).

tff(f158,plain,
    zero_zero(poly(a)) != poly_rec(poly(a),a,zero_zero(poly(a)),aa(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),fun(poly(a),poly(a)))),aa(fun(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a)))),fun(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),fun(poly(a),poly(a))))),combb(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),a),combk(fun(poly(a),poly(a)),poly(a))),aa(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),poly(a))),aa(fun(fun(poly(a),poly(a)),fun(poly(a),poly(a))),fun(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),poly(a)))),combb(fun(poly(a),poly(a)),fun(poly(a),poly(a)),a),combs(poly(a),poly(a),poly(a),aa(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),aa(fun(poly(a),fun(poly(a),poly(a))),fun(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a)))),combb(poly(a),fun(poly(a),poly(a)),poly(a)),plus_plus(poly(a))),aa(a,fun(poly(a),poly(a)),smult(a),h)))),pCons(a))),zero_zero(poly(a))),
    inference(flattening,[],[f156]) ).

tff(f156,negated_conjecture,
    ( ~ zero_zero(poly(a)) = poly_rec(poly(a),a,zero_zero(poly(a)),aa(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),fun(poly(a),poly(a)))),aa(fun(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a)))),fun(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),fun(poly(a),poly(a))))),combb(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),a),combk(fun(poly(a),poly(a)),poly(a))),aa(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),poly(a))),aa(fun(fun(poly(a),poly(a)),fun(poly(a),poly(a))),fun(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),poly(a)))),combb(fun(poly(a),poly(a)),fun(poly(a),poly(a)),a),combs(poly(a),poly(a),poly(a),aa(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),aa(fun(poly(a),fun(poly(a),poly(a))),fun(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a)))),combb(poly(a),fun(poly(a),poly(a)),poly(a)),plus_plus(poly(a))),aa(a,fun(poly(a),poly(a)),smult(a),h)))),pCons(a))),zero_zero(poly(a))) ),
    inference(negated_conjecture,[],[f155]) ).

tff(f155,conjecture,
    zero_zero(poly(a)) = poly_rec(poly(a),a,zero_zero(poly(a)),aa(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),fun(poly(a),poly(a)))),aa(fun(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a)))),fun(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),fun(poly(a),poly(a))))),combb(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),a),combk(fun(poly(a),poly(a)),poly(a))),aa(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),poly(a))),aa(fun(fun(poly(a),poly(a)),fun(poly(a),poly(a))),fun(fun(a,fun(poly(a),poly(a))),fun(a,fun(poly(a),poly(a)))),combb(fun(poly(a),poly(a)),fun(poly(a),poly(a)),a),combs(poly(a),poly(a),poly(a),aa(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a))),aa(fun(poly(a),fun(poly(a),poly(a))),fun(fun(poly(a),poly(a)),fun(poly(a),fun(poly(a),poly(a)))),combb(poly(a),fun(poly(a),poly(a)),poly(a)),plus_plus(poly(a))),aa(a,fun(poly(a),poly(a)),smult(a),h)))),pCons(a))),zero_zero(poly(a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW487_5 : TPTP v8.2.0. Released v6.0.0.
% 0.07/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Wed Jun 19 04:49:09 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.35  This is a TF1_THM_EQU_NAR problem
% 0.12/0.35  Running first-order theorem proving
% 0.12/0.35  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.43  % (27951)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (27955)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.21/0.43  % (27951)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (27953)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.21/0.43  % (27951)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (27958)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.21/0.43  % (27951)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (27957)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.21/0.43  % (27951)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (27954)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.21/0.43  % (27951)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (27956)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.44  % (27951)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (27952)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.21/0.48  % (27958)Instruction limit reached!
% 0.21/0.48  % (27958)------------------------------
% 0.21/0.48  % (27958)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48  % (27958)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48  % (27958)Termination reason: Time limit
% 0.21/0.48  % (27958)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (27958)Memory used [KB]: 2034
% 0.21/0.48  % (27958)Time elapsed: 0.053 s
% 0.21/0.48  % (27958)Instructions burned: 127 (million)
% 0.21/0.48  % (27956)Instruction limit reached!
% 0.21/0.48  % (27956)------------------------------
% 0.21/0.48  % (27956)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48  % (27956)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48  % (27956)Termination reason: Time limit
% 0.21/0.48  % (27956)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (27956)Memory used [KB]: 2052
% 0.21/0.48  % (27956)Time elapsed: 0.053 s
% 0.21/0.48  % (27956)Instructions burned: 111 (million)
% 0.21/0.49  % (27957)Instruction limit reached!
% 0.21/0.49  % (27957)------------------------------
% 0.21/0.49  % (27957)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49  % (27957)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49  % (27957)Termination reason: Time limit
% 0.21/0.49  % (27957)Termination phase: Saturation
% 0.21/0.49  
% 0.21/0.49  % (27957)Memory used [KB]: 2360
% 0.21/0.49  % (27957)Time elapsed: 0.065 s
% 0.21/0.49  % (27957)Instructions burned: 134 (million)
% 0.21/0.52  % (27951)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52  % (27959)lrs+1011_1:1_sil=16000:sos=on:erd=off:i=126:nm=2:ep=RST_0 on theBenchmark for (2998ds/126Mi)
% 0.21/0.52  % (27951)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52  % (27960)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=145:ss=axioms:sgt=4_0 on theBenchmark for (2998ds/145Mi)
% 1.22/0.53  % (27951)Running in auto input_syntax mode. Trying TPTP
% 1.22/0.53  % (27961)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=173:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/173Mi)
% 1.22/0.53  % (27961)Refutation not found, incomplete strategy% (27961)------------------------------
% 1.22/0.53  % (27961)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.22/0.53  % (27961)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.22/0.53  % (27961)Termination reason: Refutation not found, incomplete strategy
% 1.22/0.53  
% 1.22/0.53  % (27961)Memory used [KB]: 1363
% 1.22/0.53  % (27961)Time elapsed: 0.006 s
% 1.22/0.53  % (27961)Instructions burned: 18 (million)
% 1.22/0.53  % (27961)------------------------------
% 1.22/0.53  % (27961)------------------------------
% 1.33/0.55  % (27959)Instruction limit reached!
% 1.33/0.55  % (27959)------------------------------
% 1.33/0.55  % (27959)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.33/0.55  % (27959)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.33/0.55  % (27959)Termination reason: Time limit
% 1.33/0.55  % (27959)Termination phase: Saturation
% 1.33/0.55  
% 1.33/0.55  % (27959)Memory used [KB]: 2062
% 1.33/0.55  % (27959)Time elapsed: 0.034 s
% 1.33/0.55  % (27959)Instructions burned: 128 (million)
% 1.33/0.55  % (27960)First to succeed.
% 1.33/0.55  % (27960)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27951"
% 1.33/0.56  % (27951)Running in auto input_syntax mode. Trying TPTP
% 1.33/0.56  % (27960)Refutation found. Thanks to Tanya!
% 1.33/0.56  % SZS status Theorem for theBenchmark
% 1.33/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.56  % (27960)------------------------------
% 1.33/0.56  % (27960)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.33/0.56  % (27960)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.33/0.56  % (27960)Termination reason: Refutation
% 1.33/0.56  
% 1.33/0.56  % (27960)Memory used [KB]: 2298
% 1.33/0.56  % (27960)Time elapsed: 0.040 s
% 1.33/0.56  % (27960)Instructions burned: 104 (million)
% 1.33/0.56  % (27960)------------------------------
% 1.33/0.56  % (27960)------------------------------
% 1.33/0.56  % (27951)Success in time 0.185 s
%------------------------------------------------------------------------------