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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV061^7 : TPTP v9.3.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:39:54 AM UTC 2026

% Result   : Theorem 4.45s 1.12s
% Output   : Refutation 4.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   85 (  50 unt;   0 typ;   2 def)
%            Number of atoms       :  776 (  76 equ;   0 cnn)
%            Maximal formula atoms :   20 (   9 avg)
%            Number of connectives : 1695 ( 288   ~; 242   |;   0   &;1017   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   79 (  79   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  113 ( 109 usr;  21 con; 0-4 aty)
%                                         ( 146  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  285 (   0 sgn  14   !;   0   ?; 285   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    mu: $tType ).

thf(type_def_6,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    qmltpeq: mu > mu > $i > $o ).

thf(func_def_1,type,
    meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_3,type,
    mnot: ( $i > $o ) > $i > $o ).

thf(func_def_4,type,
    mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_5,type,
    mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_6,type,
    mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).

thf(func_def_7,type,
    mtrue: $i > $o ).

thf(func_def_8,type,
    mfalse: $i > $o ).

thf(func_def_9,type,
    mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_10,type,
    mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_11,type,
    mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_12,type,
    mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_13,type,
    mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_14,type,
    mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_15,type,
    exists_in_world: mu > $i > $o ).

thf(func_def_16,type,
    mforall_ind: ( mu > $i > $o ) > $i > $o ).

thf(func_def_17,type,
    mexists_ind: ( mu > $i > $o ) > $i > $o ).

thf(func_def_18,type,
    mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).

thf(func_def_19,type,
    mreflexive: ( $i > $i > $o ) > $o ).

thf(func_def_20,type,
    msymmetric: ( $i > $i > $o ) > $o ).

thf(func_def_21,type,
    mserial: ( $i > $i > $o ) > $o ).

thf(func_def_22,type,
    mtransitive: ( $i > $i > $o ) > $o ).

thf(func_def_23,type,
    meuclidean: ( $i > $i > $o ) > $o ).

thf(func_def_24,type,
    mpartially_functional: ( $i > $i > $o ) > $o ).

thf(func_def_25,type,
    mfunctional: ( $i > $i > $o ) > $o ).

thf(func_def_26,type,
    mweakly_dense: ( $i > $i > $o ) > $o ).

thf(func_def_27,type,
    mweakly_connected: ( $i > $i > $o ) > $o ).

thf(func_def_28,type,
    mweakly_directed: ( $i > $i > $o ) > $o ).

thf(func_def_29,type,
    mvalid: ( $i > $o ) > $o ).

thf(func_def_30,type,
    msatisfiable: ( $i > $o ) > $o ).

thf(func_def_31,type,
    mcountersatisfiable: ( $i > $o ) > $o ).

thf(func_def_32,type,
    minvalid: ( $i > $o ) > $o ).

thf(func_def_33,type,
    rel_s4: $i > $i > $o ).

thf(func_def_34,type,
    mbox_s4: ( $i > $o ) > $i > $o ).

thf(func_def_35,type,
    mdia_s4: ( $i > $o ) > $i > $o ).

thf(func_def_36,type,
    true: $i > $o ).

thf(func_def_37,type,
    lt: mu > mu > $i > $o ).

thf(func_def_38,type,
    geq: mu > mu > $i > $o ).

thf(func_def_39,type,
    gt: mu > mu > $i > $o ).

thf(func_def_40,type,
    leq: mu > mu > $i > $o ).

thf(func_def_41,type,
    uniform_int_rnd: mu > mu > mu ).

thf(func_def_42,type,
    tptp_const_array1: mu > mu > mu ).

thf(func_def_43,type,
    dim: mu > mu > mu ).

thf(func_def_44,type,
    tptp_const_array2: mu > mu > mu > mu ).

thf(func_def_45,type,
    inv: mu > mu ).

thf(func_def_46,type,
    tptp_msub: mu > mu > mu ).

thf(func_def_47,type,
    trans: mu > mu ).

thf(func_def_48,type,
    tptp_mmul: mu > mu > mu ).

thf(func_def_49,type,
    tptp_madd: mu > mu > mu ).

thf(func_def_50,type,
    sum: mu > mu > mu > mu ).

thf(func_def_51,type,
    tptp_float_0_0: mu ).

thf(func_def_52,type,
    plus: mu > mu > mu ).

thf(func_def_53,type,
    pred: mu > mu ).

thf(func_def_54,type,
    minus: mu > mu > mu ).

thf(func_def_55,type,
    tptp_update3: mu > mu > mu > mu > mu ).

thf(func_def_56,type,
    a_select3: mu > mu > mu > mu ).

thf(func_def_57,type,
    tptp_update2: mu > mu > mu > mu ).

thf(func_def_58,type,
    a_select2: mu > mu > mu ).

thf(func_def_59,type,
    use: mu ).

thf(func_def_60,type,
    def: mu ).

thf(func_def_61,type,
    loopcounter: mu ).

thf(func_def_62,type,
    tptp_minus_1: mu ).

thf(func_def_63,type,
    n4: mu ).

thf(func_def_64,type,
    n5: mu ).

thf(func_def_65,type,
    n1: mu ).

thf(func_def_66,type,
    n2: mu ).

thf(func_def_67,type,
    n3: mu ).

thf(func_def_68,type,
    n0: mu ).

thf(func_def_69,type,
    succ: mu > mu ).

thf(func_def_72,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_73,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_74,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_75,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_76,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_77,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_78,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_79,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_80,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_81,type,
    vOR: $o > $o > $o ).

thf(func_def_82,type,
    vNOT: $o > $o ).

thf(func_def_83,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_84,type,
    vIMP: $o > $o > $o ).

thf(func_def_85,type,
    vAND: $o > $o > $o ).

thf(func_def_86,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_87,type,
    db9: 
      !>[X0: $tType] : X0 ).

thf(func_def_88,type,
    db8: 
      !>[X0: $tType] : X0 ).

thf(func_def_89,type,
    db7: 
      !>[X0: $tType] : X0 ).

thf(func_def_90,type,
    db10: 
      !>[X0: $tType] : X0 ).

thf(func_def_91,type,
    db11: 
      !>[X0: $tType] : X0 ).

thf(func_def_92,type,
    db12: 
      !>[X0: $tType] : X0 ).

thf(func_def_93,type,
    db13: 
      !>[X0: $tType] : X0 ).

thf(func_def_94,type,
    db14: 
      !>[X0: $tType] : X0 ).

thf(func_def_95,type,
    db15: 
      !>[X0: $tType] : X0 ).

thf(func_def_96,type,
    db16: 
      !>[X0: $tType] : X0 ).

thf(func_def_97,type,
    db17: 
      !>[X0: $tType] : X0 ).

thf(func_def_98,type,
    db18: 
      !>[X0: $tType] : X0 ).

thf(func_def_99,type,
    db19: 
      !>[X0: $tType] : X0 ).

thf(func_def_100,type,
    db20: 
      !>[X0: $tType] : X0 ).

thf(func_def_101,type,
    db21: 
      !>[X0: $tType] : X0 ).

thf(func_def_102,type,
    db22: 
      !>[X0: $tType] : X0 ).

thf(func_def_108,type,
    sK5: $i > mu ).

thf(f2,axiom,
    ( mnot
    = ( ^ [X0: $i > $o,X1: $i] :
          ~ ( X0 @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mnot) ).

thf(f3,axiom,
    ( mor
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X1 @ X2 )
          | ( X0 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mor) ).

thf(f8,axiom,
    ( ( ^ [X0: $i > $o,X1: $i > $o] : ( mnot @ ( mor @ ( mnot @ X0 ) @ ( mnot @ X1 ) ) ) )
    = mand ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mand) ).

thf(f9,axiom,
    ( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) )
    = mimplies ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mimplies) ).

thf(f28,axiom,
    ( ( ^ [X0: $i > $o] :
        ! [X1: $i] : ( X0 @ X1 ) )
    = mvalid ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mvalid) ).

thf(f32,axiom,
    ( ( ^ [X0: $i > $o,X1: $i] :
        ! [X2: $i] :
          ( ( X0 @ X2 )
          | ~ ( rel_s4 @ X1 @ X2 ) ) )
    = mbox_s4 ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^5.ax',mbox_s4) ).

thf(f165,axiom,
    mvalid @ ( mbox_s4 @ true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ttrue) ).

thf(f199,conjecture,
    mvalid @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ true ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( gt @ loopcounter @ n1 ) ) ) ) @ ( mbox_s4 @ true ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( gt @ loopcounter @ n1 ) ) @ ( mbox_s4 @ true ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0002) ).

thf(f200,negated_conjecture,
    ~ ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ true ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( gt @ loopcounter @ n1 ) ) ) ) @ ( mbox_s4 @ true ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( gt @ loopcounter @ n1 ) ) @ ( mbox_s4 @ true ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f199]) ).

thf(f301,plain,
    ( ( ^ [X0: $i > $o,X1: $i] :
        ! [X2: $i] :
          ( ( X0 @ X2 )
          | ~ ( rel_s4 @ X1 @ X2 ) ) )
    = mbox_s4 ),
    inference(rectify,[],[f32]) ).

thf(f302,plain,
    ( mbox_s4
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ( !! @ $i
          @ ^ [Y2: $i] :
              ( ~ ( rel_s4 @ Y1 @ Y2 )
              | ( Y0 @ Y2 ) ) ) ) ),
    inference(fool_elimination,[],[f301]) ).

thf(f311,plain,
    ( mor
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X1 @ X2 )
          | ( X0 @ X2 ) ) ) ),
    inference(rectify,[],[f3]) ).

thf(f312,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          | ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f311]) ).

thf(f434,plain,
    ( ( ^ [X0: $i > $o] :
        ! [X1: $i] : ( X0 @ X1 ) )
    = mvalid ),
    inference(rectify,[],[f28]) ).

thf(f435,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f434]) ).

thf(f459,plain,
    ( mand
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f8]) ).

thf(f478,plain,
    ( mnot
    = ( ^ [X0: $i > $o,X1: $i] :
          ~ ( X0 @ X1 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f479,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f478]) ).

thf(f508,plain,
    mvalid @ ( mbox_s4 @ true ),
    inference(rectify,[],[f165]) ).

thf(f509,plain,
    ( ( mvalid @ ( mbox_s4 @ true ) )
    = $true ),
    inference(fool_elimination,[],[f508]) ).

thf(f520,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(fool_elimination,[],[f9]) ).

thf(f581,plain,
    ~ ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ true ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( gt @ loopcounter @ n1 ) ) ) ) @ ( mbox_s4 @ true ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( gt @ loopcounter @ n1 ) ) @ ( mbox_s4 @ true ) ) ) ) ) ) ),
    inference(rectify,[],[f200]) ).

thf(f582,plain,
    ( $true
    = ( ~ ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ true ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( gt @ loopcounter @ n1 ) ) ) ) @ ( mbox_s4 @ true ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( gt @ loopcounter @ n1 ) ) @ ( mbox_s4 @ true ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f581]) ).

thf(f631,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          | ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f312]) ).

thf(f638,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f479]) ).

thf(f662,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(cnf_transformation,[],[f520]) ).

thf(f680,plain,
    ( ( mvalid @ ( mbox_s4 @ true ) )
    = $true ),
    inference(cnf_transformation,[],[f509]) ).

thf(f688,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f435]) ).

thf(f718,plain,
    ( mand
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f459]) ).

thf(f737,plain,
    ( mbox_s4
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ( !! @ $i
          @ ^ [Y2: $i] :
              ( ~ ( rel_s4 @ Y1 @ Y2 )
              | ( Y0 @ Y2 ) ) ) ) ),
    inference(cnf_transformation,[],[f302]) ).

thf(f745,plain,
    ( $true
    = ( ~ ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ true ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( gt @ loopcounter @ n1 ) ) ) ) @ ( mbox_s4 @ true ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( gt @ loopcounter @ n1 ) ) @ ( mbox_s4 @ true ) ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f582]) ).

thf(f791,plain,
    ( mand
    = ( ^ [Y0: $i > $o,Y1: $i > $o] :
          ( ^ [Y2: $i > $o,Y3: $i] :
              ~ ( Y2 @ Y3 )
          @ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
                ( ( Y2 @ Y4 )
                | ( Y3 @ Y4 ) )
            @ ( ^ [Y2: $i > $o,Y3: $i] :
                  ~ ( Y2 @ Y3 )
              @ Y0 )
            @ ( ^ [Y2: $i > $o,Y3: $i] :
                  ~ ( Y2 @ Y3 )
              @ Y1 ) ) ) ) ),
    inference(definition_unfolding,[],[f718,f638,f631,f638,f638]) ).

thf(f792,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o,Y1: $i > $o] :
          ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
              ( ( Y2 @ Y4 )
              | ( Y3 @ Y4 ) )
          @ ( ^ [Y2: $i > $o,Y3: $i] :
                ~ ( Y2 @ Y3 )
            @ Y0 )
          @ Y1 ) ) ),
    inference(definition_unfolding,[],[f662,f631,f638]) ).

thf(f859,plain,
    ( $true
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) )
      @ ( ^ [Y0: $i > $o,Y1: $i] :
            ( !! @ $i
            @ ^ [Y2: $i] :
                ( ~ ( rel_s4 @ Y1 @ Y2 )
                | ( Y0 @ Y2 ) ) )
        @ true ) ) ),
    inference(definition_unfolding,[],[f680,f688,f737]) ).

thf(f912,plain,
    ( $true
    = ( ~ ( ^ [Y0: $i > $o] :
              ( !! @ $i
              @ ^ [Y1: $i] : ( Y0 @ Y1 ) )
          @ ( ^ [Y0: $i > $o,Y1: $i] :
                ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ~ ( rel_s4 @ Y1 @ Y2 )
                    | ( Y0 @ Y2 ) ) )
            @ ( ^ [Y0: $i > $o,Y1: $i > $o] :
                  ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
                      ( ( Y2 @ Y4 )
                      | ( Y3 @ Y4 ) )
                  @ ( ^ [Y2: $i > $o,Y3: $i] :
                        ~ ( Y2 @ Y3 )
                    @ Y0 )
                  @ Y1 )
              @ ( ^ [Y0: $i > $o,Y1: $i] :
                    ( !! @ $i
                    @ ^ [Y2: $i] :
                        ( ~ ( rel_s4 @ Y1 @ Y2 )
                        | ( Y0 @ Y2 ) ) )
                @ true )
              @ ( ^ [Y0: $i > $o,Y1: $i > $o] :
                    ( ^ [Y2: $i > $o,Y3: $i] :
                        ~ ( Y2 @ Y3 )
                    @ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
                          ( ( Y2 @ Y4 )
                          | ( Y3 @ Y4 ) )
                      @ ( ^ [Y2: $i > $o,Y3: $i] :
                            ~ ( Y2 @ Y3 )
                        @ Y0 )
                      @ ( ^ [Y2: $i > $o,Y3: $i] :
                            ~ ( Y2 @ Y3 )
                        @ Y1 ) ) )
                @ ( ^ [Y0: $i > $o,Y1: $i] :
                      ( !! @ $i
                      @ ^ [Y2: $i] :
                          ( ~ ( rel_s4 @ Y1 @ Y2 )
                          | ( Y0 @ Y2 ) ) )
                  @ ( ^ [Y0: $i > $o,Y1: $i > $o] :
                        ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
                            ( ( Y2 @ Y4 )
                            | ( Y3 @ Y4 ) )
                        @ ( ^ [Y2: $i > $o,Y3: $i] :
                              ~ ( Y2 @ Y3 )
                          @ Y0 )
                        @ Y1 )
                    @ ( ^ [Y0: $i > $o,Y1: $i] :
                          ( !! @ $i
                          @ ^ [Y2: $i] :
                              ( ~ ( rel_s4 @ Y1 @ Y2 )
                              | ( Y0 @ Y2 ) ) )
                      @ ( ^ [Y0: $i > $o,Y1: $i] :
                            ~ ( Y0 @ Y1 )
                        @ ( ^ [Y0: $i > $o,Y1: $i] :
                              ( !! @ $i
                              @ ^ [Y2: $i] :
                                  ( ~ ( rel_s4 @ Y1 @ Y2 )
                                  | ( Y0 @ Y2 ) ) )
                          @ ( gt @ loopcounter @ n1 ) ) ) )
                    @ ( ^ [Y0: $i > $o,Y1: $i] :
                          ( !! @ $i
                          @ ^ [Y2: $i] :
                              ( ~ ( rel_s4 @ Y1 @ Y2 )
                              | ( Y0 @ Y2 ) ) )
                      @ true ) ) )
                @ ( ^ [Y0: $i > $o,Y1: $i] :
                      ( !! @ $i
                      @ ^ [Y2: $i] :
                          ( ~ ( rel_s4 @ Y1 @ Y2 )
                          | ( Y0 @ Y2 ) ) )
                  @ ( ^ [Y0: $i > $o,Y1: $i > $o] :
                        ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
                            ( ( Y2 @ Y4 )
                            | ( Y3 @ Y4 ) )
                        @ ( ^ [Y2: $i > $o,Y3: $i] :
                              ~ ( Y2 @ Y3 )
                          @ Y0 )
                        @ Y1 )
                    @ ( ^ [Y0: $i > $o,Y1: $i] :
                          ( !! @ $i
                          @ ^ [Y2: $i] :
                              ( ~ ( rel_s4 @ Y1 @ Y2 )
                              | ( Y0 @ Y2 ) ) )
                      @ ( gt @ loopcounter @ n1 ) )
                    @ ( ^ [Y0: $i > $o,Y1: $i] :
                          ( !! @ $i
                          @ ^ [Y2: $i] :
                              ( ~ ( rel_s4 @ Y1 @ Y2 )
                              | ( Y0 @ Y2 ) ) )
                      @ true ) ) ) ) ) ) ) ) ),
    inference(definition_unfolding,[],[f745,f688,f737,f792,f737,f791,f737,f792,f737,f638,f737,f737,f737,f792,f737,f737]) ).

thf(f940,plain,
    ( $true
    = ( ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( rel_s4 @ Y0 @ Y1 )
                  | ~ ( !! @ $i
                      @ ^ [Y2: $i] :
                          ( ~ ( rel_s4 @ Y1 @ Y2 )
                          | ( true @ Y2 ) ) )
                  | ~ ( ~ ( !! @ $i
                          @ ^ [Y2: $i] :
                              ( ~ ( rel_s4 @ Y1 @ Y2 )
                              | ~ ( !! @ $i
                                  @ ^ [Y3: $i] :
                                      ( ~ ( rel_s4 @ Y2 @ Y3 )
                                      | ~ ( !! @ $i
                                          @ ^ [Y4: $i] :
                                              ( ~ ( rel_s4 @ Y3 @ Y4 )
                                              | ( gt @ loopcounter @ n1 @ Y4 ) ) ) ) )
                              | ( !! @ $i
                                @ ^ [Y3: $i] :
                                    ( ~ ( rel_s4 @ Y2 @ Y3 )
                                    | ( true @ Y3 ) ) ) ) )
                      | ~ ( !! @ $i
                          @ ^ [Y2: $i] :
                              ( ~ ( rel_s4 @ Y1 @ Y2 )
                              | ~ ( !! @ $i
                                  @ ^ [Y3: $i] :
                                      ( ~ ( rel_s4 @ Y2 @ Y3 )
                                      | ( gt @ loopcounter @ n1 @ Y3 ) ) )
                              | ( !! @ $i
                                @ ^ [Y3: $i] :
                                    ( ~ ( rel_s4 @ Y2 @ Y3 )
                                    | ( true @ Y3 ) ) ) ) ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f912]) ).

thf(f1020,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ~ ( rel_s4 @ Y0 @ Y1 )
              | ( true @ Y1 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f859]) ).

thf(f1161,plain,
    ( $false
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ~ ( rel_s4 @ Y0 @ Y1 )
              | ~ ( !! @ $i
                  @ ^ [Y2: $i] :
                      ( ~ ( rel_s4 @ Y1 @ Y2 )
                      | ( true @ Y2 ) ) )
              | ~ ( ~ ( !! @ $i
                      @ ^ [Y2: $i] :
                          ( ~ ( rel_s4 @ Y1 @ Y2 )
                          | ~ ( !! @ $i
                              @ ^ [Y3: $i] :
                                  ( ~ ( rel_s4 @ Y2 @ Y3 )
                                  | ~ ( !! @ $i
                                      @ ^ [Y4: $i] :
                                          ( ~ ( rel_s4 @ Y3 @ Y4 )
                                          | ( gt @ loopcounter @ n1 @ Y4 ) ) ) ) )
                          | ( !! @ $i
                            @ ^ [Y3: $i] :
                                ( ~ ( rel_s4 @ Y2 @ Y3 )
                                | ( true @ Y3 ) ) ) ) )
                  | ~ ( !! @ $i
                      @ ^ [Y2: $i] :
                          ( ~ ( rel_s4 @ Y1 @ Y2 )
                          | ~ ( !! @ $i
                              @ ^ [Y3: $i] :
                                  ( ~ ( rel_s4 @ Y2 @ Y3 )
                                  | ( gt @ loopcounter @ n1 @ Y3 ) ) )
                          | ( !! @ $i
                            @ ^ [Y3: $i] :
                                ( ~ ( rel_s4 @ Y2 @ Y3 )
                                | ( true @ Y3 ) ) ) ) ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f940]) ).

thf(f1162,plain,
    ( $false
    = ( ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ~ ( rel_s4 @ Y0 @ Y1 )
              | ~ ( !! @ $i
                  @ ^ [Y2: $i] :
                      ( ~ ( rel_s4 @ Y1 @ Y2 )
                      | ( true @ Y2 ) ) )
              | ~ ( ~ ( !! @ $i
                      @ ^ [Y2: $i] :
                          ( ~ ( rel_s4 @ Y1 @ Y2 )
                          | ~ ( !! @ $i
                              @ ^ [Y3: $i] :
                                  ( ~ ( rel_s4 @ Y2 @ Y3 )
                                  | ~ ( !! @ $i
                                      @ ^ [Y4: $i] :
                                          ( ~ ( rel_s4 @ Y3 @ Y4 )
                                          | ( gt @ loopcounter @ n1 @ Y4 ) ) ) ) )
                          | ( !! @ $i
                            @ ^ [Y3: $i] :
                                ( ~ ( rel_s4 @ Y2 @ Y3 )
                                | ( true @ Y3 ) ) ) ) )
                  | ~ ( !! @ $i
                      @ ^ [Y2: $i] :
                          ( ~ ( rel_s4 @ Y1 @ Y2 )
                          | ~ ( !! @ $i
                              @ ^ [Y3: $i] :
                                  ( ~ ( rel_s4 @ Y2 @ Y3 )
                                  | ( gt @ loopcounter @ n1 @ Y3 ) ) )
                          | ( !! @ $i
                            @ ^ [Y3: $i] :
                                ( ~ ( rel_s4 @ Y2 @ Y3 )
                                | ( true @ Y3 ) ) ) ) ) ) ) )
      @ sK0 ) ),
    inference(sigma_proxy_clausification,[],[f1161]) ).

thf(f1163,plain,
    ( $false
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( ~ ( rel_s4 @ sK0 @ Y0 )
          | ~ ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( rel_s4 @ Y0 @ Y1 )
                  | ( true @ Y1 ) ) )
          | ~ ( ~ ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( rel_s4 @ Y0 @ Y1 )
                      | ~ ( !! @ $i
                          @ ^ [Y2: $i] :
                              ( ~ ( rel_s4 @ Y1 @ Y2 )
                              | ~ ( !! @ $i
                                  @ ^ [Y3: $i] :
                                      ( ~ ( rel_s4 @ Y2 @ Y3 )
                                      | ( gt @ loopcounter @ n1 @ Y3 ) ) ) ) )
                      | ( !! @ $i
                        @ ^ [Y2: $i] :
                            ( ~ ( rel_s4 @ Y1 @ Y2 )
                            | ( true @ Y2 ) ) ) ) )
              | ~ ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( rel_s4 @ Y0 @ Y1 )
                      | ~ ( !! @ $i
                          @ ^ [Y2: $i] :
                              ( ~ ( rel_s4 @ Y1 @ Y2 )
                              | ( gt @ loopcounter @ n1 @ Y2 ) ) )
                      | ( !! @ $i
                        @ ^ [Y2: $i] :
                            ( ~ ( rel_s4 @ Y1 @ Y2 )
                            | ( true @ Y2 ) ) ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f1162]) ).

thf(f1164,plain,
    ( $false
    = ( ^ [Y0: $i] :
          ( ~ ( rel_s4 @ sK0 @ Y0 )
          | ~ ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( rel_s4 @ Y0 @ Y1 )
                  | ( true @ Y1 ) ) )
          | ~ ( ~ ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( rel_s4 @ Y0 @ Y1 )
                      | ~ ( !! @ $i
                          @ ^ [Y2: $i] :
                              ( ~ ( rel_s4 @ Y1 @ Y2 )
                              | ~ ( !! @ $i
                                  @ ^ [Y3: $i] :
                                      ( ~ ( rel_s4 @ Y2 @ Y3 )
                                      | ( gt @ loopcounter @ n1 @ Y3 ) ) ) ) )
                      | ( !! @ $i
                        @ ^ [Y2: $i] :
                            ( ~ ( rel_s4 @ Y1 @ Y2 )
                            | ( true @ Y2 ) ) ) ) )
              | ~ ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( rel_s4 @ Y0 @ Y1 )
                      | ~ ( !! @ $i
                          @ ^ [Y2: $i] :
                              ( ~ ( rel_s4 @ Y1 @ Y2 )
                              | ( gt @ loopcounter @ n1 @ Y2 ) ) )
                      | ( !! @ $i
                        @ ^ [Y2: $i] :
                            ( ~ ( rel_s4 @ Y1 @ Y2 )
                            | ( true @ Y2 ) ) ) ) ) ) )
      @ sK1 ) ),
    inference(sigma_proxy_clausification,[],[f1163]) ).

thf(f1165,plain,
    ( $false
    = ( ~ ( rel_s4 @ sK0 @ sK1 )
      | ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( rel_s4 @ sK1 @ Y0 )
              | ( true @ Y0 ) ) )
      | ~ ( ~ ( !! @ $i
              @ ^ [Y0: $i] :
                  ( ~ ( rel_s4 @ sK1 @ Y0 )
                  | ~ ( !! @ $i
                      @ ^ [Y1: $i] :
                          ( ~ ( rel_s4 @ Y0 @ Y1 )
                          | ~ ( !! @ $i
                              @ ^ [Y2: $i] :
                                  ( ~ ( rel_s4 @ Y1 @ Y2 )
                                  | ( gt @ loopcounter @ n1 @ Y2 ) ) ) ) )
                  | ( !! @ $i
                    @ ^ [Y1: $i] :
                        ( ~ ( rel_s4 @ Y0 @ Y1 )
                        | ( true @ Y1 ) ) ) ) )
          | ~ ( !! @ $i
              @ ^ [Y0: $i] :
                  ( ~ ( rel_s4 @ sK1 @ Y0 )
                  | ~ ( !! @ $i
                      @ ^ [Y1: $i] :
                          ( ~ ( rel_s4 @ Y0 @ Y1 )
                          | ( gt @ loopcounter @ n1 @ Y1 ) ) )
                  | ( !! @ $i
                    @ ^ [Y1: $i] :
                        ( ~ ( rel_s4 @ Y0 @ Y1 )
                        | ( true @ Y1 ) ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f1164]) ).

thf(f1166,plain,
    ( $false
    = ( ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( rel_s4 @ sK1 @ Y0 )
              | ( true @ Y0 ) ) )
      | ~ ( ~ ( !! @ $i
              @ ^ [Y0: $i] :
                  ( ~ ( rel_s4 @ sK1 @ Y0 )
                  | ~ ( !! @ $i
                      @ ^ [Y1: $i] :
                          ( ~ ( rel_s4 @ Y0 @ Y1 )
                          | ~ ( !! @ $i
                              @ ^ [Y2: $i] :
                                  ( ~ ( rel_s4 @ Y1 @ Y2 )
                                  | ( gt @ loopcounter @ n1 @ Y2 ) ) ) ) )
                  | ( !! @ $i
                    @ ^ [Y1: $i] :
                        ( ~ ( rel_s4 @ Y0 @ Y1 )
                        | ( true @ Y1 ) ) ) ) )
          | ~ ( !! @ $i
              @ ^ [Y0: $i] :
                  ( ~ ( rel_s4 @ sK1 @ Y0 )
                  | ~ ( !! @ $i
                      @ ^ [Y1: $i] :
                          ( ~ ( rel_s4 @ Y0 @ Y1 )
                          | ( gt @ loopcounter @ n1 @ Y1 ) ) )
                  | ( !! @ $i
                    @ ^ [Y1: $i] :
                        ( ~ ( rel_s4 @ Y0 @ Y1 )
                        | ( true @ Y1 ) ) ) ) ) ) ) ),
    inference(or_proxy_clausification,[],[f1165]) ).

thf(f1168,plain,
    ( $false
    = ( ~ ( ~ ( !! @ $i
              @ ^ [Y0: $i] :
                  ( ~ ( rel_s4 @ sK1 @ Y0 )
                  | ~ ( !! @ $i
                      @ ^ [Y1: $i] :
                          ( ~ ( rel_s4 @ Y0 @ Y1 )
                          | ~ ( !! @ $i
                              @ ^ [Y2: $i] :
                                  ( ~ ( rel_s4 @ Y1 @ Y2 )
                                  | ( gt @ loopcounter @ n1 @ Y2 ) ) ) ) )
                  | ( !! @ $i
                    @ ^ [Y1: $i] :
                        ( ~ ( rel_s4 @ Y0 @ Y1 )
                        | ( true @ Y1 ) ) ) ) )
          | ~ ( !! @ $i
              @ ^ [Y0: $i] :
                  ( ~ ( rel_s4 @ sK1 @ Y0 )
                  | ~ ( !! @ $i
                      @ ^ [Y1: $i] :
                          ( ~ ( rel_s4 @ Y0 @ Y1 )
                          | ( gt @ loopcounter @ n1 @ Y1 ) ) )
                  | ( !! @ $i
                    @ ^ [Y1: $i] :
                        ( ~ ( rel_s4 @ Y0 @ Y1 )
                        | ( true @ Y1 ) ) ) ) ) ) ) ),
    inference(or_proxy_clausification,[],[f1166]) ).

thf(f1171,plain,
    ( $true
    = ( ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( rel_s4 @ sK1 @ Y0 )
              | ~ ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( rel_s4 @ Y0 @ Y1 )
                      | ~ ( !! @ $i
                          @ ^ [Y2: $i] :
                              ( ~ ( rel_s4 @ Y1 @ Y2 )
                              | ( gt @ loopcounter @ n1 @ Y2 ) ) ) ) )
              | ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ~ ( rel_s4 @ Y0 @ Y1 )
                    | ( true @ Y1 ) ) ) ) )
      | ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( rel_s4 @ sK1 @ Y0 )
              | ~ ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( rel_s4 @ Y0 @ Y1 )
                      | ( gt @ loopcounter @ n1 @ Y1 ) ) )
              | ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ~ ( rel_s4 @ Y0 @ Y1 )
                    | ( true @ Y1 ) ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f1168]) ).

thf(f1173,plain,
    ( ( $true
      = ( ~ ( !! @ $i
            @ ^ [Y0: $i] :
                ( ~ ( rel_s4 @ sK1 @ Y0 )
                | ~ ( !! @ $i
                    @ ^ [Y1: $i] :
                        ( ~ ( rel_s4 @ Y0 @ Y1 )
                        | ~ ( !! @ $i
                            @ ^ [Y2: $i] :
                                ( ~ ( rel_s4 @ Y1 @ Y2 )
                                | ( gt @ loopcounter @ n1 @ Y2 ) ) ) ) )
                | ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( rel_s4 @ Y0 @ Y1 )
                      | ( true @ Y1 ) ) ) ) ) ) )
    | ( $true
      = ( ~ ( !! @ $i
            @ ^ [Y0: $i] :
                ( ~ ( rel_s4 @ sK1 @ Y0 )
                | ~ ( !! @ $i
                    @ ^ [Y1: $i] :
                        ( ~ ( rel_s4 @ Y0 @ Y1 )
                        | ( gt @ loopcounter @ n1 @ Y1 ) ) )
                | ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( rel_s4 @ Y0 @ Y1 )
                      | ( true @ Y1 ) ) ) ) ) ) ) ),
    inference(or_proxy_clausification,[],[f1171]) ).

thf(f1174,plain,
    ( ( $false
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( ~ ( rel_s4 @ sK1 @ Y0 )
            | ~ ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ~ ( rel_s4 @ Y0 @ Y1 )
                    | ~ ( !! @ $i
                        @ ^ [Y2: $i] :
                            ( ~ ( rel_s4 @ Y1 @ Y2 )
                            | ( gt @ loopcounter @ n1 @ Y2 ) ) ) ) )
            | ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( rel_s4 @ Y0 @ Y1 )
                  | ( true @ Y1 ) ) ) ) ) )
    | ( $true
      = ( ~ ( !! @ $i
            @ ^ [Y0: $i] :
                ( ~ ( rel_s4 @ sK1 @ Y0 )
                | ~ ( !! @ $i
                    @ ^ [Y1: $i] :
                        ( ~ ( rel_s4 @ Y0 @ Y1 )
                        | ( gt @ loopcounter @ n1 @ Y1 ) ) )
                | ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( rel_s4 @ Y0 @ Y1 )
                      | ( true @ Y1 ) ) ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f1173]) ).

thf(f1175,plain,
    ( ( ( !! @ $i
        @ ^ [Y0: $i] :
            ( ~ ( rel_s4 @ sK1 @ Y0 )
            | ~ ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ~ ( rel_s4 @ Y0 @ Y1 )
                    | ( gt @ loopcounter @ n1 @ Y1 ) ) )
            | ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( rel_s4 @ Y0 @ Y1 )
                  | ( true @ Y1 ) ) ) ) )
      = $false )
    | ( $false
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( ~ ( rel_s4 @ sK1 @ Y0 )
            | ~ ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ~ ( rel_s4 @ Y0 @ Y1 )
                    | ~ ( !! @ $i
                        @ ^ [Y2: $i] :
                            ( ~ ( rel_s4 @ Y1 @ Y2 )
                            | ( gt @ loopcounter @ n1 @ Y2 ) ) ) ) )
            | ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( rel_s4 @ Y0 @ Y1 )
                  | ( true @ Y1 ) ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f1174]) ).

thf(f1177,definition,
    ( spl2_1
  <=> ( $false
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( ~ ( rel_s4 @ sK1 @ Y0 )
            | ~ ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ~ ( rel_s4 @ Y0 @ Y1 )
                    | ~ ( !! @ $i
                        @ ^ [Y2: $i] :
                            ( ~ ( rel_s4 @ Y1 @ Y2 )
                            | ( gt @ loopcounter @ n1 @ Y2 ) ) ) ) )
            | ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( rel_s4 @ Y0 @ Y1 )
                  | ( true @ Y1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).

thf(f1179,plain,
    ( ( $false
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( ~ ( rel_s4 @ sK1 @ Y0 )
            | ~ ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ~ ( rel_s4 @ Y0 @ Y1 )
                    | ~ ( !! @ $i
                        @ ^ [Y2: $i] :
                            ( ~ ( rel_s4 @ Y1 @ Y2 )
                            | ( gt @ loopcounter @ n1 @ Y2 ) ) ) ) )
            | ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( rel_s4 @ Y0 @ Y1 )
                  | ( true @ Y1 ) ) ) ) ) )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f1177]) ).

thf(f1181,definition,
    ( spl2_2
  <=> ( ( !! @ $i
        @ ^ [Y0: $i] :
            ( ~ ( rel_s4 @ sK1 @ Y0 )
            | ~ ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ~ ( rel_s4 @ Y0 @ Y1 )
                    | ( gt @ loopcounter @ n1 @ Y1 ) ) )
            | ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( rel_s4 @ Y0 @ Y1 )
                  | ( true @ Y1 ) ) ) ) )
      = $false ) ),
    introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).

thf(f1183,plain,
    ( ( ( !! @ $i
        @ ^ [Y0: $i] :
            ( ~ ( rel_s4 @ sK1 @ Y0 )
            | ~ ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ~ ( rel_s4 @ Y0 @ Y1 )
                    | ( gt @ loopcounter @ n1 @ Y1 ) ) )
            | ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( rel_s4 @ Y0 @ Y1 )
                  | ( true @ Y1 ) ) ) ) )
      = $false )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f1181]) ).

thf(f1184,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f1175,f1181,f1177]) ).

thf(f1203,plain,
    ( ( $false
      = ( ^ [Y0: $i] :
            ( ~ ( rel_s4 @ sK1 @ Y0 )
            | ~ ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ~ ( rel_s4 @ Y0 @ Y1 )
                    | ( gt @ loopcounter @ n1 @ Y1 ) ) )
            | ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( rel_s4 @ Y0 @ Y1 )
                  | ( true @ Y1 ) ) ) )
        @ sK3 ) )
    | ~ spl2_2 ),
    inference(sigma_proxy_clausification,[],[f1183]) ).

thf(f1205,plain,
    ( ( $false
      = ( ~ ( rel_s4 @ sK1 @ sK3 )
        | ~ ( !! @ $i
            @ ^ [Y0: $i] :
                ( ~ ( rel_s4 @ sK3 @ Y0 )
                | ( gt @ loopcounter @ n1 @ Y0 ) ) )
        | ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( rel_s4 @ sK3 @ Y0 )
              | ( true @ Y0 ) ) ) ) )
    | ~ spl2_2 ),
    inference(beta-eta_normalization,[],[f1203]) ).

thf(f1207,plain,
    ( ( $false
      = ( ~ ( !! @ $i
            @ ^ [Y0: $i] :
                ( ~ ( rel_s4 @ sK3 @ Y0 )
                | ( gt @ loopcounter @ n1 @ Y0 ) ) )
        | ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( rel_s4 @ sK3 @ Y0 )
              | ( true @ Y0 ) ) ) ) )
    | ~ spl2_2 ),
    inference(or_proxy_clausification,[],[f1205]) ).

thf(f1209,plain,
    ( ( $false
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( ~ ( rel_s4 @ sK3 @ Y0 )
            | ( true @ Y0 ) ) ) )
    | ~ spl2_2 ),
    inference(or_proxy_clausification,[],[f1207]) ).

thf(f1218,plain,
    ( ( ( ^ [Y0: $i] :
            ( ~ ( rel_s4 @ sK3 @ Y0 )
            | ( true @ Y0 ) )
        @ sK4 )
      = $false )
    | ~ spl2_2 ),
    inference(sigma_proxy_clausification,[],[f1209]) ).

thf(f1220,plain,
    ( ( $false
      = ( ~ ( rel_s4 @ sK3 @ sK4 )
        | ( true @ sK4 ) ) )
    | ~ spl2_2 ),
    inference(beta-eta_normalization,[],[f1218]) ).

thf(f1222,plain,
    ( ( ( true @ sK4 )
      = $false )
    | ~ spl2_2 ),
    inference(or_proxy_clausification,[],[f1220]) ).

thf(f1223,plain,
    ( ( $false
      = ( ~ ( rel_s4 @ sK3 @ sK4 ) ) )
    | ~ spl2_2 ),
    inference(or_proxy_clausification,[],[f1220]) ).

thf(f1224,plain,
    ( ( ( rel_s4 @ sK3 @ sK4 )
      = $true )
    | ~ spl2_2 ),
    inference(not_proxy_clausification,[],[f1223]) ).

thf(f1274,plain,
    ! [X1: $i] :
      ( ( ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ~ ( rel_s4 @ Y0 @ Y1 )
                | ( true @ Y1 ) ) )
        @ X1 )
      = $true ),
    inference(pi_proxy_clausification,[],[f1020]) ).

thf(f1275,plain,
    ! [X1: $i] :
      ( $true
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( ~ ( rel_s4 @ X1 @ Y0 )
            | ( true @ Y0 ) ) ) ),
    inference(beta-eta_normalization,[],[f1274]) ).

thf(f1276,plain,
    ! [X2: $i,X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( ~ ( rel_s4 @ X1 @ Y0 )
            | ( true @ Y0 ) )
        @ X2 ) ),
    inference(pi_proxy_clausification,[],[f1275]) ).

thf(f1277,plain,
    ! [X2: $i,X1: $i] :
      ( $true
      = ( ~ ( rel_s4 @ X1 @ X2 )
        | ( true @ X2 ) ) ),
    inference(beta-eta_normalization,[],[f1276]) ).

thf(f1278,plain,
    ! [X2: $i,X1: $i] :
      ( ( ( ~ ( rel_s4 @ X1 @ X2 ) )
        = $true )
      | ( $true
        = ( true @ X2 ) ) ),
    inference(or_proxy_clausification,[],[f1277]) ).

thf(f1279,plain,
    ! [X2: $i,X1: $i] :
      ( ( ( rel_s4 @ X1 @ X2 )
        = $false )
      | ( $true
        = ( true @ X2 ) ) ),
    inference(not_proxy_clausification,[],[f1278]) ).

thf(f1288,plain,
    ( ( $true = $false )
    | ( ( true @ sK4 )
      = $true )
    | ~ spl2_2 ),
    inference(superposition,[],[f1224,f1279]) ).

thf(f1294,plain,
    ( ( ( true @ sK4 )
      = $true )
    | ~ spl2_2 ),
    inference(trivial_inequality_removal,[],[f1288]) ).

thf(f1301,plain,
    ( ( $true = $false )
    | ~ spl2_2 ),
    inference(forward_demodulation,[],[f1294,f1222]) ).

thf(f1302,plain,
    ( $false
    | ~ spl2_2 ),
    inference(trivial_inequality_removal,[],[f1301]) ).

thf(f1303,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f1302]) ).

thf(f1310,plain,
    ( ( $false
      = ( ^ [Y0: $i] :
            ( ~ ( rel_s4 @ sK1 @ Y0 )
            | ~ ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ~ ( rel_s4 @ Y0 @ Y1 )
                    | ~ ( !! @ $i
                        @ ^ [Y2: $i] :
                            ( ~ ( rel_s4 @ Y1 @ Y2 )
                            | ( gt @ loopcounter @ n1 @ Y2 ) ) ) ) )
            | ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( rel_s4 @ Y0 @ Y1 )
                  | ( true @ Y1 ) ) ) )
        @ sK6 ) )
    | ~ spl2_1 ),
    inference(sigma_proxy_clausification,[],[f1179]) ).

thf(f1313,plain,
    ( ( ( ~ ( rel_s4 @ sK1 @ sK6 )
        | ~ ( !! @ $i
            @ ^ [Y0: $i] :
                ( ~ ( rel_s4 @ sK6 @ Y0 )
                | ~ ( !! @ $i
                    @ ^ [Y1: $i] :
                        ( ~ ( rel_s4 @ Y0 @ Y1 )
                        | ( gt @ loopcounter @ n1 @ Y1 ) ) ) ) )
        | ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( rel_s4 @ sK6 @ Y0 )
              | ( true @ Y0 ) ) ) )
      = $false )
    | ~ spl2_1 ),
    inference(beta-eta_normalization,[],[f1310]) ).

thf(f1314,plain,
    ( ( ( ~ ( rel_s4 @ sK1 @ sK6 )
        | ~ ( !! @ $i
            @ ^ [Y0: $i] :
                ( ~ ( rel_s4 @ sK6 @ Y0 )
                | ~ ( !! @ $i
                    @ ^ [Y1: $i] :
                        ( ~ ( rel_s4 @ Y0 @ Y1 )
                        | ( gt @ loopcounter @ n1 @ Y1 ) ) ) ) )
        | $true )
      = $false )
    | ~ spl2_1 ),
    inference(forward_demodulation,[],[f1313,f1275]) ).

thf(f1315,plain,
    ( ( $false
      = ( ~ ( rel_s4 @ sK1 @ sK6 )
        | $true ) )
    | ~ spl2_1 ),
    inference(boolean_simplification,[],[f1314]) ).

thf(f1316,plain,
    ( ( $true = $false )
    | ~ spl2_1 ),
    inference(boolean_simplification,[],[f1315]) ).

thf(f1317,plain,
    ( $false
    | ~ spl2_1 ),
    inference(trivial_inequality_removal,[],[f1316]) ).

thf(f1318,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f1317]) ).

cnf(s1,plain,
    ( spl2_1
    | spl2_2 ),
    inference(sat_conversion,[],[f1184]) ).

cnf(s3,plain,
    ~ spl2_2,
    inference(sat_conversion,[],[f1303]) ).

cnf(s4,plain,
    ~ spl2_1,
    inference(sat_conversion,[],[f1318]) ).

cnf(s5,plain,
    $false,
    inference(rat,[],[s1,s3,s4]) ).

thf(f1319,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV061^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19  % Computer : n019.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Tue Sep 29 16:00:03 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23  Running higher-order theorem proving
% 0.07/0.28  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/0.48  % (966099)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.81/0.48  % (966109)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1465353696:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.81/0.48  % (966111)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2886551982:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.81/0.48  % (966110)lrs+10_16_si=on:nwc=1.5:random_seed=1022030370:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.81/0.48  % (966112)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2672051803:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.81/0.48  % (966111)Instruction limit reached! 
% 0.81/0.48  % (966111)------------------------------
% 0.81/0.48  % (966111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.48  % (966111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.48  % (966111)CaDiCaL version: 2.1.3
% 0.81/0.48  % (966111)Termination reason: Instruction limit
% 0.81/0.48  % (966111)Termination phase: shuffling
% 0.81/0.48  % (966111)Time elapsed: 0.002 s
% 0.81/0.48  % (966111)Peak memory usage: 10 MB
% 0.81/0.48  % (966111)Instructions burned: 3 (million)
% 0.81/0.48  % (966110)Instruction limit reached! 
% 0.81/0.48  % (966110)------------------------------
% 0.81/0.48  % (966110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.48  % (966110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.48  % (966110)CaDiCaL version: 2.1.3
% 0.81/0.48  % (966110)Termination reason: Instruction limit
% 0.81/0.48  % (966110)Termination phase: shuffling
% 0.81/0.48  % (966110)Time elapsed: 0.008 s
% 0.81/0.48  % (966110)Peak memory usage: 10 MB
% 0.81/0.48  % (966110)Instructions burned: 20 (million)
% 0.81/0.48  % (966113)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=336819452:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.81/0.48  % (966114)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2391917961:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.81/0.48  % (966115)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.81/0.48  % (966115)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.81/0.48  % (966121)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2049696717:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.81/0.48  % (966121)Instruction limit reached! 
% 0.81/0.48  % (966121)------------------------------
% 0.81/0.48  % (966121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.48  % (966121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.48  % (966121)CaDiCaL version: 2.1.3
% 0.81/0.48  % (966121)Termination reason: Instruction limit
% 0.81/0.48  % (966121)Termination phase: shuffling
% 0.81/0.48  % (966121)Time elapsed: 0.002 s
% 0.81/0.48  % (966121)Peak memory usage: 10 MB
% 0.81/0.48  % (966121)Instructions burned: 4 (million)
% 0.81/0.48  % (966122)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2215330693:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.81/0.48  % (966115)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=4120805544:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.81/0.48  % (966122)Instruction limit reached! 
% 0.81/0.48  % (966122)------------------------------
% 0.81/0.48  % (966122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.48  % (966122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.48  % (966122)CaDiCaL version: 2.1.3
% 0.81/0.48  % (966122)Termination reason: Instruction limit
% 0.81/0.48  % (966122)Termination phase: shuffling
% 0.81/0.48  % (966122)Time elapsed: 0.003 s
% 0.81/0.48  % (966122)Peak memory usage: 10 MB
% 0.81/0.48  % (966122)Instructions burned: 7 (million)
% 0.81/0.48  % (966113)Instruction limit reached! 
% 0.81/0.53  % (966113)------------------------------
% 0.81/0.53  % (966113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.53  % (966113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.53  % (966113)CaDiCaL version: 2.1.3
% 0.81/0.53  % (966113)Termination reason: Instruction limit
% 0.81/0.53  % (966113)Termination phase: shuffling
% 0.81/0.53  % (966113)Time elapsed: 0.019 s
% 0.81/0.53  % (966113)Peak memory usage: 10 MB
% 0.81/0.53  % (966113)Instructions burned: 25 (million)
% 0.81/0.53  % (966109)Instruction limit reached! 
% 0.81/0.53  % (966109)------------------------------
% 0.81/0.53  % (966109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.53  % (966109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.53  % (966109)CaDiCaL version: 2.1.3
% 0.81/0.53  % (966109)Termination reason: Instruction limit
% 0.81/0.53  % (966109)Termination phase: Function definition elimination
% 0.81/0.53  % (966109)Time elapsed: 0.036 s
% 0.81/0.53  % (966109)Peak memory usage: 11 MB
% 0.81/0.53  % (966109)Instructions burned: 89 (million)
% 0.81/0.53  % (966126)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.81/0.53  % (966126)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=647651577:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.81/0.53  % (966126)Instruction limit reached! 
% 0.81/0.53  % (966126)------------------------------
% 0.81/0.53  % (966126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.53  % (966126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.53  % (966126)CaDiCaL version: 2.1.3
% 0.81/0.53  % (966126)Termination reason: Instruction limit
% 0.81/0.53  % (966126)Termination phase: shuffling
% 0.81/0.53  % (966126)Time elapsed: 0.004 s
% 0.81/0.53  % (966126)Peak memory usage: 10 MB
% 0.81/0.53  % (966126)Instructions burned: 8 (million)
% 0.81/0.53  % (966131)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1439413367:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.81/0.53  % (966129)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3382206108:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.81/0.53  % (966133)lrs+10_1_si=on:cs=on:random_seed=454402831:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.81/0.53  % (966130)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.81/0.53  % (966130)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.81/0.53  % (966114)Instruction limit reached! 
% 0.81/0.53  % (966114)------------------------------
% 0.81/0.53  % (966114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.53  % (966114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.53  % (966114)CaDiCaL version: 2.1.3
% 0.81/0.53  % (966114)Termination reason: Instruction limit
% 0.81/0.53  % (966114)Termination phase: Property scanning
% 0.81/0.53  % (966114)Time elapsed: 0.058 s
% 0.81/0.53  % (966114)Peak memory usage: 11 MB
% 0.81/0.53  % (966114)Instructions burned: 76 (million)
% 0.81/0.53  % (966133)Instruction limit reached! 
% 0.81/0.53  % (966133)------------------------------
% 0.81/0.53  % (966133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.53  % (966133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.53  % (966133)CaDiCaL version: 2.1.3
% 0.81/0.53  % (966133)Termination reason: Instruction limit
% 0.81/0.53  % (966133)Termination phase: shuffling
% 0.81/0.53  % (966133)Time elapsed: 0.003 s
% 0.81/0.53  % (966133)Peak memory usage: 10 MB
% 0.81/0.53  % (966133)Instructions burned: 8 (million)
% 0.81/0.53  % (966130)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1723092892:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.81/0.53  % (966129)Instruction limit reached! 
% 0.81/0.53  % (966129)------------------------------
% 0.81/0.53  % (966129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.61  % (966129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.61  % (966129)CaDiCaL version: 2.1.3
% 1.40/0.61  % (966129)Termination reason: Instruction limit
% 1.40/0.61  % (966129)Termination phase: shuffling
% 1.40/0.61  % (966129)Time elapsed: 0.016 s
% 1.40/0.61  % (966129)Peak memory usage: 10 MB
% 1.40/0.61  % (966129)Instructions burned: 13 (million)
% 1.40/0.61  % (966138)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2313271363:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.40/0.61  % (966130)Instruction limit reached! 
% 1.40/0.61  % (966130)------------------------------
% 1.40/0.61  % (966130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.61  % (966130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.61  % (966130)CaDiCaL version: 2.1.3
% 1.40/0.61  % (966130)Termination reason: Instruction limit
% 1.40/0.61  % (966130)Termination phase: Property scanning
% 1.40/0.61  % (966130)Time elapsed: 0.019 s
% 1.40/0.61  % (966130)Peak memory usage: 10 MB
% 1.40/0.61  % (966130)Instructions burned: 29 (million)
% 1.40/0.61  % (966131)Instruction limit reached! 
% 1.40/0.61  % (966131)------------------------------
% 1.40/0.61  % (966131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.61  % (966131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.61  % (966131)CaDiCaL version: 2.1.3
% 1.40/0.61  % (966131)Termination reason: Instruction limit
% 1.40/0.61  % (966131)Termination phase: Function definition elimination
% 1.40/0.61  % (966131)Time elapsed: 0.049 s
% 1.40/0.61  % (966131)Peak memory usage: 11 MB
% 1.40/0.61  % (966131)Instructions burned: 86 (million)
% 1.40/0.61  % (966137)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.40/0.61  % (966137)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=667750565:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.40/0.61  % (966138)Instruction limit reached! 
% 1.40/0.61  % (966138)------------------------------
% 1.40/0.61  % (966138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.61  % (966138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.61  % (966138)CaDiCaL version: 2.1.3
% 1.40/0.61  % (966138)Termination reason: Instruction limit
% 1.40/0.61  % (966138)Termination phase: Property scanning
% 1.40/0.61  % (966138)Time elapsed: 0.017 s
% 1.40/0.61  % (966138)Peak memory usage: 10 MB
% 1.40/0.61  % (966138)Instructions burned: 38 (million)
% 1.40/0.61  % (966137)Instruction limit reached! 
% 1.40/0.61  % (966137)------------------------------
% 1.40/0.61  % (966137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.61  % (966137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.61  % (966137)CaDiCaL version: 2.1.3
% 1.40/0.61  % (966137)Termination reason: Instruction limit
% 1.40/0.61  % (966137)Termination phase: shuffling
% 1.40/0.61  % (966137)Time elapsed: 0.001 s
% 1.40/0.61  % (966137)Peak memory usage: 10 MB
% 1.40/0.61  % (966137)Instructions burned: 2 (million)
% 1.40/0.61  % (966140)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=265785672:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.40/0.61  % (966115)Instruction limit reached! 
% 1.40/0.61  % (966115)------------------------------
% 1.40/0.61  % (966115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.61  % (966115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.61  % (966115)CaDiCaL version: 2.1.3
% 1.40/0.61  % (966115)Termination reason: Instruction limit
% 1.40/0.61  % (966115)Termination phase: Property scanning
% 1.40/0.61  % (966115)Time elapsed: 0.090 s
% 1.40/0.61  % (966115)Peak memory usage: 11 MB
% 1.40/0.61  % (966115)Instructions burned: 160 (million)
% 1.40/0.61  % (966146)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2524821695:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.40/0.61  % (966142)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2164336501:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.40/0.61  % (966144)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1340914577:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.99/0.74  % (966147)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2098430204:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.99/0.74  % (966142)Instruction limit reached! 
% 1.99/0.74  % (966142)------------------------------
% 1.99/0.74  % (966142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74  % (966142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74  % (966142)CaDiCaL version: 2.1.3
% 1.99/0.74  % (966142)Termination reason: Instruction limit
% 1.99/0.74  % (966142)Termination phase: shuffling
% 1.99/0.74  % (966142)Time elapsed: 0.018 s
% 1.99/0.74  % (966142)Peak memory usage: 10 MB
% 1.99/0.74  % (966142)Instructions burned: 25 (million)
% 1.99/0.74  % (966147)Instruction limit reached! 
% 1.99/0.74  % (966147)------------------------------
% 1.99/0.74  % (966147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74  % (966147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74  % (966147)CaDiCaL version: 2.1.3
% 1.99/0.74  % (966147)Termination reason: Instruction limit
% 1.99/0.74  % (966147)Termination phase: shuffling
% 1.99/0.74  % (966147)Time elapsed: 0.011 s
% 1.99/0.74  % (966147)Peak memory usage: 10 MB
% 1.99/0.74  % (966147)Instructions burned: 14 (million)
% 1.99/0.74  % (966140)Refutation not found, incomplete strategy
% 1.99/0.74  % (966140)------------------------------
% 1.99/0.74  % (966140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74  % (966140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74  % (966140)CaDiCaL version: 2.1.3
% 1.99/0.74  % (966140)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.74  % (966140)Time elapsed: 0.038 s
% 1.99/0.74  % (966140)Peak memory usage: 13 MB
% 1.99/0.74  % (966140)Instructions burned: 91 (million)
% 1.99/0.74  % (966140)------------------------------
% 1.99/0.74  % (966140)------------------------------
% 1.99/0.74  % (966144)Instruction limit reached! 
% 1.99/0.74  % (966144)------------------------------
% 1.99/0.74  % (966144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74  % (966144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74  % (966144)CaDiCaL version: 2.1.3
% 1.99/0.74  % (966144)Termination reason: Instruction limit
% 1.99/0.74  % (966144)Termination phase: shuffling
% 1.99/0.74  % (966144)Time elapsed: 0.014 s
% 1.99/0.74  % (966144)Peak memory usage: 10 MB
% 1.99/0.74  % (966144)Instructions burned: 14 (million)
% 1.99/0.74  % (966149)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1410633345:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.99/0.74  % (966149)Instruction limit reached! 
% 1.99/0.74  % (966149)------------------------------
% 1.99/0.74  % (966149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74  % (966149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74  % (966149)CaDiCaL version: 2.1.3
% 1.99/0.74  % (966149)Termination reason: Instruction limit
% 1.99/0.74  % (966149)Termination phase: shuffling
% 1.99/0.74  % (966149)Time elapsed: 0.005 s
% 1.99/0.74  % (966149)Peak memory usage: 10 MB
% 1.99/0.74  % (966149)Instructions burned: 3 (million)
% 1.99/0.74  % (966157)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.99/0.74  % (966157)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.99/0.74  % (966157)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3677502551:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.99/0.74  % (966157)Instruction limit reached! 
% 1.99/0.74  % (966157)------------------------------
% 1.99/0.74  % (966157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74  % (966157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74  % (966157)CaDiCaL version: 2.1.3
% 1.99/0.74  % (966157)Termination reason: Instruction limit
% 1.99/0.74  % (966157)Termination phase: shuffling
% 2.38/0.83  % (966157)Time elapsed: 0.007 s
% 2.38/0.83  % (966157)Peak memory usage: 10 MB
% 2.38/0.83  % (966157)Instructions burned: 15 (million)
% 2.38/0.83  % (966156)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3856859935:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.38/0.83  % (966156)Instruction limit reached! 
% 2.38/0.83  % (966156)------------------------------
% 2.38/0.83  % (966156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.83  % (966156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.83  % (966156)CaDiCaL version: 2.1.3
% 2.38/0.83  % (966156)Termination reason: Instruction limit
% 2.38/0.83  % (966156)Termination phase: Property scanning
% 2.38/0.83  % (966156)Time elapsed: 0.032 s
% 2.38/0.83  % (966156)Peak memory usage: 11 MB
% 2.38/0.83  % (966156)Instructions burned: 62 (million)
% 2.38/0.83  % (966160)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.38/0.83  % (966162)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=831167587:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.38/0.83  % (966154)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=809767241:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 2.38/0.83  % (966155)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1945551167:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.38/0.83  % (966160)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=173202361:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.38/0.83  % (966160)Instruction limit reached! 
% 2.38/0.83  % (966160)------------------------------
% 2.38/0.83  % (966160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.83  % (966160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.83  % (966160)CaDiCaL version: 2.1.3
% 2.38/0.83  % (966160)Termination reason: Instruction limit
% 2.38/0.83  % (966160)Termination phase: shuffling
% 2.38/0.83  % (966160)Time elapsed: 0.006 s
% 2.38/0.83  % (966160)Peak memory usage: 10 MB
% 2.38/0.83  % (966160)Instructions burned: 8 (million)
% 2.38/0.83  % (966165)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3853510505:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.38/0.83  % (966162)Instruction limit reached! 
% 2.38/0.83  % (966162)------------------------------
% 2.38/0.83  % (966162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.83  % (966162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.83  % (966162)CaDiCaL version: 2.1.3
% 2.38/0.83  % (966162)Termination reason: Instruction limit
% 2.38/0.83  % (966162)Termination phase: Property scanning
% 2.38/0.83  % (966162)Time elapsed: 0.014 s
% 2.38/0.83  % (966162)Peak memory usage: 10 MB
% 2.38/0.83  % (966162)Instructions burned: 33 (million)
% 2.38/0.83  % (966165)Instruction limit reached! 
% 2.38/0.83  % (966165)------------------------------
% 2.38/0.83  % (966165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.83  % (966165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.83  % (966165)CaDiCaL version: 2.1.3
% 2.38/0.83  % (966165)Termination reason: Instruction limit
% 2.38/0.83  % (966165)Termination phase: shuffling
% 2.38/0.83  % (966165)Time elapsed: 0.003 s
% 2.38/0.83  % (966165)Peak memory usage: 10 MB
% 2.38/0.83  % (966165)Instructions burned: 7 (million)
% 2.38/0.83  % (966155)Instruction limit reached! 
% 2.38/0.83  % (966155)------------------------------
% 2.38/0.83  % (966155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.83  % (966155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.83  % (966155)CaDiCaL version: 2.1.3
% 2.38/0.83  % (966155)Termination reason: Instruction limit
% 2.38/0.83  % (966155)Termination phase: shuffling
% 2.38/0.83  % (966155)Time elapsed: 0.018 s
% 2.38/0.83  % (966155)Peak memory usage: 10 MB
% 2.38/0.83  % (966155)Instructions burned: 23 (million)
% 2.38/0.83  % (966154)Instruction limit reached! 
% 2.38/0.83  % (966154)------------------------------
% 2.38/0.83  % (966154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.92  % (966154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.92  % (966154)CaDiCaL version: 2.1.3
% 2.83/0.92  % (966154)Termination reason: Instruction limit
% 2.83/0.92  % (966154)Termination phase: shuffling
% 2.83/0.92  % (966154)Time elapsed: 0.041 s
% 2.83/0.92  % (966154)Peak memory usage: 10 MB
% 2.83/0.92  % (966154)Instructions burned: 26 (million)
% 2.83/0.92  % (966173)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3528284451:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 2.83/0.92  % (966174)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=302541950:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 2.83/0.92  % (966172)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2615573675:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.83/0.92  % (966171)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1048747458:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.83/0.92  % (966172)Instruction limit reached! 
% 2.83/0.92  % (966172)------------------------------
% 2.83/0.92  % (966172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.92  % (966172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.92  % (966172)CaDiCaL version: 2.1.3
% 2.83/0.92  % (966172)Termination reason: Instruction limit
% 2.83/0.92  % (966172)Termination phase: shuffling
% 2.83/0.92  % (966172)Time elapsed: 0.019 s
% 2.83/0.92  % (966172)Peak memory usage: 10 MB
% 2.83/0.92  % (966172)Instructions burned: 22 (million)
% 2.83/0.92  % (966171)Instruction limit reached! 
% 2.83/0.92  % (966171)------------------------------
% 2.83/0.92  % (966171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.92  % (966171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.92  % (966171)CaDiCaL version: 2.1.3
% 2.83/0.92  % (966171)Termination reason: Instruction limit
% 2.83/0.92  % (966171)Termination phase: shuffling
% 2.83/0.92  % (966171)Time elapsed: 0.026 s
% 2.83/0.92  % (966171)Peak memory usage: 10 MB
% 2.83/0.92  % (966171)Instructions burned: 25 (million)
% 2.83/0.92  % (966175)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3610931324:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 2.83/0.92  % (966146)Instruction limit reached! 
% 2.83/0.92  % (966146)------------------------------
% 2.83/0.92  % (966146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.92  % (966146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.92  % (966146)CaDiCaL version: 2.1.3
% 2.83/0.92  % (966146)Termination reason: Instruction limit
% 2.83/0.92  % (966146)Termination phase: Saturation
% 2.83/0.92  % (966146)Time elapsed: 0.217 s
% 2.83/0.92  % (966146)Peak memory usage: 14 MB
% 2.83/0.92  % (966146)Instructions burned: 327 (million)
% 2.83/0.92  % (966180)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1049220008:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.83/0.92  % (966174)Instruction limit reached! 
% 2.83/0.92  % (966174)------------------------------
% 2.83/0.92  % (966174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.92  % (966174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.92  % (966174)CaDiCaL version: 2.1.3
% 2.83/0.92  % (966174)Termination reason: Instruction limit
% 2.83/0.92  % (966174)Termination phase: Property scanning
% 2.83/0.92  % (966174)Time elapsed: 0.085 s
% 2.83/0.92  % (966174)Peak memory usage: 11 MB
% 2.83/0.92  % (966174)Instructions burned: 144 (million)
% 2.83/0.92  % (966181)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.83/0.92  % (966186)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1889258826:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/181Mi)
% 2.83/0.92  % (966181)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2755733334:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.83/0.92  % (966181)Instruction limit reached! 
% 2.83/0.92  % (966181)------------------------------
% 2.83/0.92  % (966181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/1.04  % (966181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.04  % (966181)CaDiCaL version: 2.1.3
% 2.83/1.04  % (966181)Termination reason: Instruction limit
% 2.83/1.04  % (966181)Termination phase: shuffling
% 2.83/1.04  % (966181)Time elapsed: 0.010 s
% 2.83/1.04  % (966181)Peak memory usage: 10 MB
% 2.83/1.04  % (966181)Instructions burned: 7 (million)
% 2.83/1.04  % (966188)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1212390051:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2995 on theBenchmark for (2995ds/169Mi)
% 2.83/1.04  % (966112)Instruction limit reached! 
% 2.83/1.04  % (966112)------------------------------
% 2.83/1.04  % (966112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/1.04  % (966112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.04  % (966112)CaDiCaL version: 2.1.3
% 2.83/1.04  % (966112)Termination reason: Instruction limit
% 2.83/1.04  % (966112)Termination phase: Saturation
% 2.83/1.04  % (966112)Time elapsed: 0.412 s
% 2.83/1.04  % (966112)Peak memory usage: 17 MB
% 2.83/1.04  % (966112)Instructions burned: 634 (million)
% 2.83/1.04  % (966180)Instruction limit reached! 
% 2.83/1.04  % (966180)------------------------------
% 2.83/1.04  % (966180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/1.04  % (966180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.04  % (966180)CaDiCaL version: 2.1.3
% 2.83/1.04  % (966180)Termination reason: Instruction limit
% 2.83/1.04  % (966180)Termination phase: Property scanning
% 2.83/1.04  % (966180)Time elapsed: 0.049 s
% 2.83/1.04  % (966180)Peak memory usage: 10 MB
% 2.83/1.04  % (966180)Instructions burned: 42 (million)
% 2.83/1.04  % (966175)Refutation not found, incomplete strategy
% 2.83/1.04  % (966175)------------------------------
% 2.83/1.04  % (966175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/1.04  % (966175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.04  % (966175)CaDiCaL version: 2.1.3
% 2.83/1.04  % (966175)Termination reason: Refutation not found, incomplete strategy
% 2.83/1.04  % (966175)Time elapsed: 0.105 s
% 2.83/1.04  % (966175)Peak memory usage: 14 MB
% 2.83/1.04  % (966175)Instructions burned: 136 (million)
% 2.83/1.04  % (966175)------------------------------
% 2.83/1.04  % (966175)------------------------------
% 2.83/1.04  % (966191)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.83/1.04  % (966191)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2836539875:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2995 on theBenchmark for (2995ds/6Mi)
% 2.83/1.04  % (966191)Instruction limit reached! 
% 2.83/1.04  % (966191)------------------------------
% 2.83/1.04  % (966191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/1.04  % (966191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.04  % (966191)CaDiCaL version: 2.1.3
% 2.83/1.04  % (966191)Termination reason: Instruction limit
% 2.83/1.04  % (966191)Termination phase: shuffling
% 2.83/1.04  % (966191)Time elapsed: 0.005 s
% 2.83/1.04  % (966191)Peak memory usage: 10 MB
% 2.83/1.04  % (966191)Instructions burned: 6 (million)
% 2.83/1.04  % (966186)Refutation not found, incomplete strategy
% 2.83/1.04  % (966186)------------------------------
% 2.83/1.04  % (966186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/1.04  % (966186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.04  % (966186)CaDiCaL version: 2.1.3
% 2.83/1.04  % (966186)Termination reason: Refutation not found, incomplete strategy
% 2.83/1.04  % (966186)Time elapsed: 0.082 s
% 2.83/1.04  % (966186)Peak memory usage: 13 MB
% 2.83/1.04  % (966186)Instructions burned: 110 (million)
% 2.83/1.04  % (966186)------------------------------
% 2.83/1.04  % (966186)------------------------------
% 2.83/1.04  % (966198)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=83286795:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 2.83/1.04  % (966193)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3753827145:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 4.45/1.12  % (966200)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=3285662963:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2994 on theBenchmark for (2994ds/853Mi)
% 4.45/1.12  % (966195)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2791345267:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 4.45/1.12  % (966201)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=4264262315:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2994 on theBenchmark for (2994ds/45Mi)
% 4.45/1.12  % (966193)Instruction limit reached! 
% 4.45/1.12  % (966193)------------------------------
% 4.45/1.12  % (966193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.12  % (966193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.12  % (966193)CaDiCaL version: 2.1.3
% 4.45/1.12  % (966193)Termination reason: Instruction limit
% 4.45/1.12  % (966193)Termination phase: shuffling
% 4.45/1.12  % (966193)Time elapsed: 0.035 s
% 4.45/1.12  % (966193)Peak memory usage: 10 MB
% 4.45/1.12  % (966193)Instructions burned: 22 (million)
% 4.45/1.12  % (966195)Instruction limit reached! 
% 4.45/1.12  % (966195)------------------------------
% 4.45/1.12  % (966195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.12  % (966195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.12  % (966195)CaDiCaL version: 2.1.3
% 4.45/1.12  % (966195)Termination reason: Instruction limit
% 4.45/1.12  % (966195)Termination phase: shuffling
% 4.45/1.12  % (966195)Time elapsed: 0.029 s
% 4.45/1.12  % (966195)Peak memory usage: 10 MB
% 4.45/1.12  % (966195)Instructions burned: 19 (million)
% 4.45/1.12  % (966201)Instruction limit reached! 
% 4.45/1.12  % (966201)------------------------------
% 4.45/1.12  % (966201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.12  % (966201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.12  % (966201)CaDiCaL version: 2.1.3
% 4.45/1.12  % (966201)Termination reason: Instruction limit
% 4.45/1.12  % (966201)Termination phase: shuffling
% 4.45/1.12  % (966201)Time elapsed: 0.034 s
% 4.45/1.12  % (966201)Peak memory usage: 10 MB
% 4.45/1.12  % (966201)Instructions burned: 45 (million)
% 4.45/1.12  % (966188)Refutation not found, incomplete strategy
% 4.45/1.12  % (966188)------------------------------
% 4.45/1.12  % (966188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.12  % (966188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.12  % (966188)CaDiCaL version: 2.1.3
% 4.45/1.12  % (966188)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.12  % (966188)Time elapsed: 0.132 s
% 4.45/1.12  % (966188)Peak memory usage: 14 MB
% 4.45/1.12  % (966188)Instructions burned: 167 (million)
% 4.45/1.12  % (966188)------------------------------
% 4.45/1.12  % (966188)------------------------------
% 4.45/1.12  % (966207)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3762831447:i=480:rtra=on_2994 on theBenchmark for (2994ds/480Mi)
% 4.45/1.12  % (966209)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 4.45/1.12  % (966208)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3622140458:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 4.45/1.12  % (966209)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1285212289:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 4.45/1.12  % (966211)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=736979826:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 4.45/1.12  % (966208)Instruction limit reached! 
% 4.45/1.12  % (966208)------------------------------
% 4.45/1.12  % (966208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.12  % (966208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.12  % (966208)CaDiCaL version: 2.1.3
% 4.45/1.12  % (966208)Termination reason: Instruction limit
% 4.45/1.12  % (966208)Termination phase: shuffling
% 4.45/1.12  % (966208)Time elapsed: 0.016 s
% 4.45/1.12  % (966208)Peak memory usage: 10 MB
% 4.45/1.12  % (966208)Instructions burned: 21 (million)
% 4.45/1.12  % (966211)Instruction limit reached! 
% 4.45/1.12  % (966211)------------------------------
% 4.45/1.12  % (966211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.12  % (966211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.12  % (966211)CaDiCaL version: 2.1.3
% 4.45/1.12  % (966211)Termination reason: Instruction limit
% 4.45/1.12  % (966211)Termination phase: shuffling
% 4.45/1.12  % (966211)Time elapsed: 0.010 s
% 4.45/1.12  % (966211)Peak memory usage: 10 MB
% 4.45/1.12  % (966211)Instructions burned: 14 (million)
% 4.45/1.12  % (966207)Refutation not found, incomplete strategy
% 4.45/1.12  % (966207)------------------------------
% 4.45/1.12  % (966207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.12  % (966207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.12  % (966207)CaDiCaL version: 2.1.3
% 4.45/1.12  % (966207)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.12  % (966207)Time elapsed: 0.056 s
% 4.45/1.12  % (966207)Peak memory usage: 14 MB
% 4.45/1.12  % (966207)Instructions burned: 137 (million)
% 4.45/1.12  % (966207)------------------------------
% 4.45/1.12  % (966207)------------------------------
% 4.45/1.12  % (966215)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3926853284:i=66:s2at=3:nm=2:rtra=on:rawr=on_2993 on theBenchmark for (2993ds/66Mi)
% 4.45/1.12  % (966216)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1565801545:i=51:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/51Mi)
% 4.45/1.12  % (966217)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2506284168:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 4.45/1.12  % (966217)Instruction limit reached! 
% 4.45/1.12  % (966217)------------------------------
% 4.45/1.12  % (966217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.12  % (966217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.12  % (966217)CaDiCaL version: 2.1.3
% 4.45/1.12  % (966217)Termination reason: Instruction limit
% 4.45/1.12  % (966217)Termination phase: Property scanning
% 4.45/1.12  % (966217)Time elapsed: 0.013 s
% 4.45/1.12  % (966217)Peak memory usage: 10 MB
% 4.45/1.12  % (966217)Instructions burned: 31 (million)
% 4.45/1.12  % (966221)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2878366270:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 4.45/1.12  % (966216)Instruction limit reached! 
% 4.45/1.12  % (966216)------------------------------
% 4.45/1.12  % (966216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.12  % (966216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.12  % (966216)CaDiCaL version: 2.1.3
% 4.45/1.12  % (966216)Termination reason: Instruction limit
% 4.45/1.12  % (966216)Termination phase: Property scanning
% 4.45/1.12  % (966216)Time elapsed: 0.039 s
% 4.45/1.12  % (966216)Peak memory usage: 10 MB
% 4.45/1.12  % (966216)Instructions burned: 51 (million)
% 4.45/1.12  % (966215)Instruction limit reached! 
% 4.45/1.12  % (966215)------------------------------
% 4.45/1.12  % (966215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.12  % (966215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.12  % (966215)CaDiCaL version: 2.1.3
% 4.45/1.12  % (966215)Termination reason: Instruction limit
% 4.45/1.12  % (966215)Termination phase: Property scanning
% 4.45/1.12  % (966215)Time elapsed: 0.054 s
% 4.45/1.12  % (966215)Peak memory usage: 11 MB
% 4.45/1.12  % (966215)Instructions burned: 70 (million)
% 4.45/1.12  % (966224)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1018686919:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/67Mi)
% 4.45/1.12  % (966223)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3161016964:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 4.45/1.12  % (966198)Instruction limit reached! 
% 4.45/1.12  % (966198)------------------------------
% 4.45/1.12  % (966198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.12  % (966198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.12  % (966198)CaDiCaL version: 2.1.3
% 4.45/1.12  % (966198)Termination reason: Instruction limit
% 4.45/1.12  % (966198)Termination phase: Saturation
% 4.45/1.12  % (966198)Time elapsed: 0.235 s
% 4.45/1.12  % (966198)Peak memory usage: 13 MB
% 4.45/1.12  % (966198)Instructions burned: 317 (million)
% 4.45/1.12  % (966221)Instruction limit reached! 
% 4.45/1.12  % (966221)------------------------------
% 4.45/1.12  % (966221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.12  % (966221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.12  % (966221)CaDiCaL version: 2.1.3
% 4.45/1.12  % (966221)Termination reason: Instruction limit
% 4.45/1.12  % (966221)Termination phase: Saturation
% 4.45/1.12  % (966221)Time elapsed: 0.058 s
% 4.45/1.12  % (966221)Peak memory usage: 13 MB
% 4.45/1.12  % (966221)Instructions burned: 138 (million)
% 4.45/1.12  % (966209)Instruction limit reached! 
% 4.45/1.12  % (966209)------------------------------
% 4.45/1.12  % (966209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.12  % (966209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.12  % (966209)CaDiCaL version: 2.1.3
% 4.45/1.12  % (966209)Termination reason: Instruction limit
% 4.45/1.12  % (966209)Termination phase: Property scanning
% 4.45/1.12  % (966209)Time elapsed: 0.150 s
% 4.45/1.12  % (966209)Peak memory usage: 11 MB
% 4.45/1.12  % (966209)Instructions burned: 201 (million)
% 4.45/1.12  % (966228)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2664035760:st=2:i=246:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/246Mi)
% 4.45/1.12  % (966223)Instruction limit reached! 
% 4.45/1.12  % (966223)------------------------------
% 4.45/1.12  % (966223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.12  % (966223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.12  % (966223)CaDiCaL version: 2.1.3
% 4.45/1.12  % (966223)Termination reason: Instruction limit
% 4.45/1.12  % (966223)Termination phase: Property scanning
% 4.45/1.12  % (966223)Time elapsed: 0.034 s
% 4.45/1.12  % (966223)Peak memory usage: 10 MB
% 4.45/1.12  % (966223)Instructions burned: 34 (million)
% 4.45/1.12  % (966227)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 4.45/1.12  % (966227)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2725078049:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2992 on theBenchmark for (2992ds/180Mi)
% 4.45/1.12  % (966224)Instruction limit reached! 
% 4.45/1.12  % (966224)------------------------------
% 4.45/1.12  % (966224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.12  % (966224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.12  % (966224)CaDiCaL version: 2.1.3
% 4.45/1.12  % (966224)Termination reason: Instruction limit
% 4.45/1.12  % (966224)Termination phase: Property scanning
% 4.45/1.12  % (966224)Time elapsed: 0.053 s
% 4.45/1.12  % (966224)Peak memory usage: 11 MB
% 4.45/1.12  % (966224)Instructions burned: 68 (million)
% 4.45/1.12  % (966229)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=389350196:cond=on:i=96:bd=all:rtra=on_2992 on theBenchmark for (2992ds/96Mi)
% 4.45/1.12  % (966173) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-966099-966173"...
% 4.45/1.12  % (966231)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3936091309:i=427:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/427Mi)
% 4.45/1.12  % (966173)...printing done.
% 4.45/1.12  % (966173)Refutation found. Thanks to Tanya!
% 4.45/1.12  % SZS status Theorem for theBenchmark
% 4.45/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 4.45/1.12  % (966173)------------------------------
% 4.45/1.12  % (966173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.45/1.12  % (966173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.12  % (966173)CaDiCaL version: 2.1.3
% 4.45/1.12  % (966173)Termination reason: Refutation
% 4.45/1.12  % (966173)Time elapsed: 0.487 s
% 4.45/1.12  % (966173)Peak memory usage: 17 MB
% 4.45/1.12  % (966173)Instructions burned: 810 (million)
% 4.45/1.12  % (966099)Success in time 0.83 s
% 4.45/1.12  % Vampire exiting
%------------------------------------------------------------------------------