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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LCL718^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n026.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 08:15:08 AM UTC 2026

% Result   : Theorem 135.22s 19.50s
% Output   : Refutation 135.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  138 (  61 unt;   0 typ;   5 def)
%            Number of atoms       : 1239 ( 287 equ;   0 cnn)
%            Maximal formula atoms :   10 (   8 avg)
%            Number of connectives : 1937 ( 233   ~; 301   |;  30   &;1262   @)
%                                         (   5 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :  180 ( 180   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   69 (  64 usr;  12 con; 0-4 aty)
%                                         (  79  !!;  11  ??;   0 @@+;   0 @@-)
%            Number of variables   :  490 (   6 sgn 219   !;   3   ?; 490   :)

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

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

thf(func_def_0,type,
    meq_ind: 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,
    mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(func_def_29,type,
    minvalid: ( $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,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_33,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_34,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_35,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_36,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_37,type,
    vNOT: $o > $o ).

thf(func_def_38,type,
    vOR: $o > $o > $o ).

thf(func_def_39,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_42,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_43,type,
    vIMP: $o > $o > $o ).

thf(func_def_44,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_45,type,
    vAND: $o > $o > $o ).

thf(func_def_46,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_47,type,
    sK0: $i > $i > $o ).

thf(func_def_48,type,
    sK1: $i > ( $i > $o ) > $i ).

thf(func_def_49,type,
    sK2: ( $i > $o ) > $i > $i ).

thf(func_def_54,type,
    sK7: ( $i > $o ) > $i ).

thf(func_def_55,type,
    sK8: ( $i > $o ) > ( $i > $i ) > $i ).

thf(func_def_56,type,
    sK9: ( $i > $o ) > ( $i > $i ) > $i ).

thf(func_def_57,type,
    sK10: ( $i > $o ) > ( $i > $i ) > $i ).

thf(func_def_58,type,
    sK11: ( $i > $o ) > ( $i > $i ) > $i ).

thf(func_def_59,type,
    sK12: ( $i > $o ) > $i ).

thf(func_def_60,type,
    sK13: ( $i > $o ) > $i ).

thf(func_def_61,type,
    sK14: ( $i > $i ) > $i ).

thf(f3,axiom,
    ( mnot
    = ( ^ [X0: $i > $o,X1: $i] :
          ~ ( X0 @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mnot) ).

thf(f4,axiom,
    ( mor
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X1 @ X2 )
          | ( X0 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mor) ).

thf(f6,axiom,
    ( mimplies
    = ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mimplies) ).

thf(f11,axiom,
    ( mforall_prop
    = ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
        ! [X2: $i > $o] : ( X0 @ X2 @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mforall_prop) ).

thf(f16,axiom,
    ( mbox
    = ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
        ! [X3: $i] :
          ( ( X1 @ X3 )
          | ~ ( X0 @ X2 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mbox) ).

thf(f17,axiom,
    ( mdia
    = ( ^ [X0: $i > $i > $o,X1: $i > $o] : ( mnot @ ( mbox @ X0 @ ( mnot @ X1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mdia) ).

thf(f27,axiom,
    ( mweakly_directed
    = ( ^ [X0: $i > $i > $o] :
        ! [X1: $i,X2: $i,X3: $i] :
          ( ( ( X0 @ X1 @ X3 )
            & ( X0 @ X1 @ X2 ) )
         => ? [X4: $i] :
              ( ( X0 @ X3 @ X4 )
              & ( X0 @ X2 @ X4 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mweakly_directed) ).

thf(f28,axiom,
    ( mvalid
    = ( ^ [X0: $i > $o] :
        ! [X1: $i] : ( X0 @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mvalid) ).

thf(f32,conjecture,
    ! [X0: $i > $i > $o] :
      ( ( mvalid
        @ ( mforall_prop
          @ ^ [X1: $i > $o] : ( mimplies @ ( mdia @ X0 @ ( mbox @ X0 @ X1 ) ) @ ( mbox @ X0 @ ( mdia @ X0 @ X1 ) ) ) ) )
     => ( mweakly_directed @ X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

thf(f33,negated_conjecture,
    ~ ! [X0: $i > $i > $o] :
        ( ( mvalid
          @ ( mforall_prop
            @ ^ [X1: $i > $o] : ( mimplies @ ( mdia @ X0 @ ( mbox @ X0 @ X1 ) ) @ ( mbox @ X0 @ ( mdia @ X0 @ X1 ) ) ) ) )
       => ( mweakly_directed @ X0 ) ),
    inference(negated_conjecture,[status(cth)],[f32]) ).

thf(f36,plain,
    ( mnot
    = ( ^ [X0: $i > $o,X1: $i] :
          ~ ( X0 @ X1 ) ) ),
    inference(rectify,[],[f3]) ).

thf(f37,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f36]) ).

thf(f38,plain,
    ( mor
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X1 @ X2 )
          | ( X0 @ X2 ) ) ) ),
    inference(rectify,[],[f4]) ).

thf(f39,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          | ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f38]) ).

thf(f41,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f47,plain,
    ( mforall_prop
    = ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
        ! [X2: $i > $o] : ( X0 @ X2 @ X1 ) ) ),
    inference(rectify,[],[f11]) ).

thf(f48,plain,
    ( mforall_prop
    = ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
          ( !! @ ( $i > $o )
          @ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f47]) ).

thf(f54,plain,
    ( mbox
    = ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
        ! [X3: $i] :
          ( ( X1 @ X3 )
          | ~ ( X0 @ X2 @ X3 ) ) ) ),
    inference(rectify,[],[f16]) ).

thf(f55,plain,
    ( mbox
    = ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
          ( !! @ $i
          @ ^ [Y3: $i] :
              ( ~ ( Y0 @ Y2 @ Y3 )
              | ( Y1 @ Y3 ) ) ) ) ),
    inference(fool_elimination,[],[f54]) ).

thf(f56,plain,
    ( mdia
    = ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f17]) ).

thf(f75,plain,
    ( mweakly_directed
    = ( ^ [X0: $i > $i > $o] :
        ! [X1: $i,X2: $i,X3: $i] :
          ( ( ( X0 @ X1 @ X3 )
            & ( X0 @ X1 @ X2 ) )
         => ? [X4: $i] :
              ( ( X0 @ X3 @ X4 )
              & ( X0 @ X2 @ X4 ) ) ) ) ),
    inference(rectify,[],[f27]) ).

thf(f76,plain,
    ( mweakly_directed
    = ( ^ [Y0: $i > $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( !! @ $i
                  @ ^ [Y3: $i] :
                      ( ( ( Y0 @ Y3 @ Y2 )
                        & ( Y0 @ Y3 @ Y1 ) )
                     => ( ?? @ $i
                        @ ^ [Y4: $i] :
                            ( ( Y0 @ Y2 @ Y4 )
                            & ( Y0 @ Y1 @ Y4 ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f75]) ).

thf(f77,plain,
    ( mvalid
    = ( ^ [X0: $i > $o] :
        ! [X1: $i] : ( X0 @ X1 ) ) ),
    inference(rectify,[],[f28]) ).

thf(f78,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f77]) ).

thf(f85,plain,
    ~ ! [X0: $i > $i > $o] :
        ( ( mvalid
          @ ( mforall_prop
            @ ^ [X1: $i > $o] : ( mimplies @ ( mdia @ X0 @ ( mbox @ X0 @ X1 ) ) @ ( mbox @ X0 @ ( mdia @ X0 @ X1 ) ) ) ) )
       => ( mweakly_directed @ X0 ) ),
    inference(rectify,[],[f33]) ).

thf(f86,plain,
    ~ ! [X0: $i > $i > $o] :
        ( ( $true
          = ( mvalid
            @ ( mforall_prop
              @ ^ [Y0: $i > $o] : ( mimplies @ ( mdia @ X0 @ ( mbox @ X0 @ Y0 ) ) @ ( mbox @ X0 @ ( mdia @ X0 @ Y0 ) ) ) ) ) )
       => ( ( mweakly_directed @ X0 )
          = $true ) ),
    inference(fool_elimination,[],[f85]) ).

thf(f87,plain,
    ? [X0: $i > $i > $o] :
      ( ( ( mweakly_directed @ X0 )
       != $true )
      & ( $true
        = ( mvalid
          @ ( mforall_prop
            @ ^ [Y0: $i > $o] : ( mimplies @ ( mdia @ X0 @ ( mbox @ X0 @ Y0 ) ) @ ( mbox @ X0 @ ( mdia @ X0 @ Y0 ) ) ) ) ) ) ),
    inference(ennf_transformation,[],[f86]) ).

thf(f88,plain,
    ( ( $true
     != ( mweakly_directed @ sK0 ) )
    & ( $true
      = ( mvalid
        @ ( mforall_prop
          @ ^ [Y0: $i > $o] : ( mimplies @ ( mdia @ sK0 @ ( mbox @ sK0 @ Y0 ) ) @ ( mbox @ sK0 @ ( mdia @ sK0 @ Y0 ) ) ) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f87]) ).

thf(f91,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f37]) ).

thf(f92,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          | ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f39]) ).

thf(f94,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(cnf_transformation,[],[f41]) ).

thf(f99,plain,
    ( mforall_prop
    = ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
          ( !! @ ( $i > $o )
          @ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f48]) ).

thf(f104,plain,
    ( mbox
    = ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
          ( !! @ $i
          @ ^ [Y3: $i] :
              ( ~ ( Y0 @ Y2 @ Y3 )
              | ( Y1 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f55]) ).

thf(f105,plain,
    ( mdia
    = ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f56]) ).

thf(f115,plain,
    ( mweakly_directed
    = ( ^ [Y0: $i > $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( !! @ $i
                  @ ^ [Y3: $i] :
                      ( ( ( Y0 @ Y3 @ Y2 )
                        & ( Y0 @ Y3 @ Y1 ) )
                     => ( ?? @ $i
                        @ ^ [Y4: $i] :
                            ( ( Y0 @ Y2 @ Y4 )
                            & ( Y0 @ Y1 @ Y4 ) ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f76]) ).

thf(f116,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f78]) ).

thf(f120,plain,
    ( $true
    = ( mvalid
      @ ( mforall_prop
        @ ^ [Y0: $i > $o] : ( mimplies @ ( mdia @ sK0 @ ( mbox @ sK0 @ Y0 ) ) @ ( mbox @ sK0 @ ( mdia @ sK0 @ Y0 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f88]) ).

thf(f121,plain,
    ( $true
   != ( mweakly_directed @ sK0 ) ),
    inference(cnf_transformation,[],[f88]) ).

thf(f125,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,[],[f94,f92,f91]) ).

thf(f132,plain,
    ( mdia
    = ( ^ [Y0: $i > $i > $o,Y1: $i > $o] :
          ( ^ [Y2: $i > $o,Y3: $i] :
              ~ ( Y2 @ Y3 )
          @ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
                ( !! @ $i
                @ ^ [Y5: $i] :
                    ( ~ ( Y2 @ Y4 @ Y5 )
                    | ( Y3 @ Y5 ) ) )
            @ Y0
            @ ( ^ [Y2: $i > $o,Y3: $i] :
                  ~ ( Y2 @ Y3 )
              @ Y1 ) ) ) ) ),
    inference(definition_unfolding,[],[f105,f91,f104,f91]) ).

thf(f133,plain,
    ( $true
   != ( ^ [Y0: $i > $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( !! @ $i
                  @ ^ [Y3: $i] :
                      ( ( ( Y0 @ Y3 @ Y2 )
                        & ( Y0 @ Y3 @ Y1 ) )
                     => ( ?? @ $i
                        @ ^ [Y4: $i] :
                            ( ( Y0 @ Y2 @ Y4 )
                            & ( Y0 @ Y1 @ Y4 ) ) ) ) ) ) )
      @ sK0 ) ),
    inference(definition_unfolding,[],[f121,f115]) ).

thf(f134,plain,
    ( $true
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) )
      @ ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
            ( !! @ ( $i > $o )
            @ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) )
        @ ^ [Y0: $i > $o] :
            ( ^ [Y1: $i > $o,Y2: $i > $o] :
                ( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
                    ( ( Y3 @ Y5 )
                    | ( Y4 @ Y5 ) )
                @ ( ^ [Y3: $i > $o,Y4: $i] :
                      ~ ( Y3 @ Y4 )
                  @ Y1 )
                @ Y2 )
            @ ( ^ [Y1: $i > $i > $o,Y2: $i > $o] :
                  ( ^ [Y3: $i > $o,Y4: $i] :
                      ~ ( Y3 @ Y4 )
                  @ ( ^ [Y3: $i > $i > $o,Y4: $i > $o,Y5: $i] :
                        ( !! @ $i
                        @ ^ [Y6: $i] :
                            ( ~ ( Y3 @ Y5 @ Y6 )
                            | ( Y4 @ Y6 ) ) )
                    @ Y1
                    @ ( ^ [Y3: $i > $o,Y4: $i] :
                          ~ ( Y3 @ Y4 )
                      @ Y2 ) ) )
              @ sK0
              @ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
                    ( !! @ $i
                    @ ^ [Y4: $i] :
                        ( ~ ( Y1 @ Y3 @ Y4 )
                        | ( Y2 @ Y4 ) ) )
                @ sK0
                @ Y0 ) )
            @ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
                  ( !! @ $i
                  @ ^ [Y4: $i] :
                      ( ~ ( Y1 @ Y3 @ Y4 )
                      | ( Y2 @ Y4 ) ) )
              @ sK0
              @ ( ^ [Y1: $i > $i > $o,Y2: $i > $o] :
                    ( ^ [Y3: $i > $o,Y4: $i] :
                        ~ ( Y3 @ Y4 )
                    @ ( ^ [Y3: $i > $i > $o,Y4: $i > $o,Y5: $i] :
                          ( !! @ $i
                          @ ^ [Y6: $i] :
                              ( ~ ( Y3 @ Y5 @ Y6 )
                              | ( Y4 @ Y6 ) ) )
                      @ Y1
                      @ ( ^ [Y3: $i > $o,Y4: $i] :
                            ~ ( Y3 @ Y4 )
                        @ Y2 ) ) )
                @ sK0
                @ Y0 ) ) ) ) ) ),
    inference(definition_unfolding,[],[f120,f116,f99,f125,f132,f104,f104,f132]) ).

thf(f135,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ ( $i > $o )
          @ ^ [Y1: $i > $o] :
              ( ~ ~ ( !! @ $i
                    @ ^ [Y2: $i] :
                        ( ~ ( sK0 @ Y0 @ Y2 )
                        | ~ ( !! @ $i
                            @ ^ [Y3: $i] :
                                ( ~ ( sK0 @ Y2 @ Y3 )
                                | ( Y1 @ Y3 ) ) ) ) )
              | ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ~ ( sK0 @ Y0 @ Y2 )
                    | ~ ( !! @ $i
                        @ ^ [Y3: $i] :
                            ( ~ ( sK0 @ Y2 @ Y3 )
                            | ~ ( Y1 @ Y3 ) ) ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f134]) ).

thf(f136,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( !! @ ( $i > $o )
            @ ^ [Y1: $i > $o] :
                ( ~ ~ ( !! @ $i
                      @ ^ [Y2: $i] :
                          ( ~ ( sK0 @ Y0 @ Y2 )
                          | ~ ( !! @ $i
                              @ ^ [Y3: $i] :
                                  ( ~ ( sK0 @ Y2 @ Y3 )
                                  | ( Y1 @ Y3 ) ) ) ) )
                | ( !! @ $i
                  @ ^ [Y2: $i] :
                      ( ~ ( sK0 @ Y0 @ Y2 )
                      | ~ ( !! @ $i
                          @ ^ [Y3: $i] :
                              ( ~ ( sK0 @ Y2 @ Y3 )
                              | ~ ( Y1 @ Y3 ) ) ) ) ) ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f135]) ).

thf(f137,plain,
    ! [X1: $i] :
      ( $true
      = ( !! @ ( $i > $o )
        @ ^ [Y0: $i > $o] :
            ( ~ ~ ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( sK0 @ X1 @ Y1 )
                      | ~ ( !! @ $i
                          @ ^ [Y2: $i] :
                              ( ~ ( sK0 @ Y1 @ Y2 )
                              | ( Y0 @ Y2 ) ) ) ) )
            | ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( sK0 @ X1 @ Y1 )
                  | ~ ( !! @ $i
                      @ ^ [Y2: $i] :
                          ( ~ ( sK0 @ Y1 @ Y2 )
                          | ~ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f136]) ).

thf(f138,plain,
    ! [X2: $i > $o,X1: $i] :
      ( $true
      = ( ^ [Y0: $i > $o] :
            ( ~ ~ ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( sK0 @ X1 @ Y1 )
                      | ~ ( !! @ $i
                          @ ^ [Y2: $i] :
                              ( ~ ( sK0 @ Y1 @ Y2 )
                              | ( Y0 @ Y2 ) ) ) ) )
            | ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( sK0 @ X1 @ Y1 )
                  | ~ ( !! @ $i
                      @ ^ [Y2: $i] :
                          ( ~ ( sK0 @ Y1 @ Y2 )
                          | ~ ( Y0 @ Y2 ) ) ) ) ) )
        @ X2 ) ),
    inference(pi_proxy_clausification,[],[f137]) ).

thf(f139,plain,
    ! [X2: $i > $o,X1: $i] :
      ( $true
      = ( ~ ~ ( !! @ $i
              @ ^ [Y0: $i] :
                  ( ~ ( sK0 @ X1 @ Y0 )
                  | ~ ( !! @ $i
                      @ ^ [Y1: $i] :
                          ( ~ ( sK0 @ Y0 @ Y1 )
                          | ( X2 @ Y1 ) ) ) ) )
        | ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( sK0 @ X1 @ Y0 )
              | ~ ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( sK0 @ Y0 @ Y1 )
                      | ~ ( X2 @ Y1 ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f138]) ).

thf(f140,plain,
    ! [X2: $i > $o,X1: $i] :
      ( ( $true
        = ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( sK0 @ X1 @ Y0 )
              | ~ ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( sK0 @ Y0 @ Y1 )
                      | ~ ( X2 @ Y1 ) ) ) ) ) )
      | ( $true
        = ( ~ ~ ( !! @ $i
                @ ^ [Y0: $i] :
                    ( ~ ( sK0 @ X1 @ Y0 )
                    | ~ ( !! @ $i
                        @ ^ [Y1: $i] :
                            ( ~ ( sK0 @ Y0 @ Y1 )
                            | ( X2 @ Y1 ) ) ) ) ) ) ) ),
    inference(or_proxy_clausification,[],[f139]) ).

thf(f141,plain,
    ! [X2: $i > $o,X3: $i,X1: $i] :
      ( ( $true
        = ( ^ [Y0: $i] :
              ( ~ ( sK0 @ X1 @ Y0 )
              | ~ ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( sK0 @ Y0 @ Y1 )
                      | ~ ( X2 @ Y1 ) ) ) )
          @ X3 ) )
      | ( $true
        = ( ~ ~ ( !! @ $i
                @ ^ [Y0: $i] :
                    ( ~ ( sK0 @ X1 @ Y0 )
                    | ~ ( !! @ $i
                        @ ^ [Y1: $i] :
                            ( ~ ( sK0 @ Y0 @ Y1 )
                            | ( X2 @ Y1 ) ) ) ) ) ) ) ),
    inference(pi_proxy_clausification,[],[f140]) ).

thf(f142,plain,
    ! [X2: $i > $o,X3: $i,X1: $i] :
      ( ( $true
        = ( ^ [Y0: $i] :
              ( ~ ( sK0 @ X1 @ Y0 )
              | ~ ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( sK0 @ Y0 @ Y1 )
                      | ~ ( X2 @ Y1 ) ) ) )
          @ X3 ) )
      | ( $false
        = ( ~ ( !! @ $i
              @ ^ [Y0: $i] :
                  ( ~ ( sK0 @ X1 @ Y0 )
                  | ~ ( !! @ $i
                      @ ^ [Y1: $i] :
                          ( ~ ( sK0 @ Y0 @ Y1 )
                          | ( X2 @ Y1 ) ) ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f141]) ).

thf(f143,plain,
    ! [X2: $i > $o,X3: $i,X1: $i] :
      ( ( $true
        = ( ^ [Y0: $i] :
              ( ~ ( sK0 @ X1 @ Y0 )
              | ~ ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( sK0 @ Y0 @ Y1 )
                      | ~ ( X2 @ Y1 ) ) ) )
          @ X3 ) )
      | ( $true
        = ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( sK0 @ X1 @ Y0 )
              | ~ ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( sK0 @ Y0 @ Y1 )
                      | ( X2 @ Y1 ) ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f142]) ).

thf(f144,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $true
        = ( ^ [Y0: $i] :
              ( ~ ( sK0 @ X1 @ Y0 )
              | ~ ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( sK0 @ Y0 @ Y1 )
                      | ~ ( X2 @ Y1 ) ) ) )
          @ X3 ) )
      | ( $true
        = ( ^ [Y0: $i] :
              ( ~ ( sK0 @ X1 @ Y0 )
              | ~ ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ~ ( sK0 @ Y0 @ Y1 )
                      | ( X2 @ Y1 ) ) ) )
          @ X4 ) ) ),
    inference(pi_proxy_clausification,[],[f143]) ).

thf(f145,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $true
        = ( ~ ( sK0 @ X1 @ X3 )
          | ~ ( !! @ $i
              @ ^ [Y0: $i] :
                  ( ~ ( sK0 @ X3 @ Y0 )
                  | ~ ( X2 @ Y0 ) ) ) ) )
      | ( $true
        = ( ~ ( sK0 @ X1 @ X4 )
          | ~ ( !! @ $i
              @ ^ [Y0: $i] :
                  ( ~ ( sK0 @ X4 @ Y0 )
                  | ( X2 @ Y0 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f144]) ).

thf(f146,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $true
        = ( ~ ( !! @ $i
              @ ^ [Y0: $i] :
                  ( ~ ( sK0 @ X3 @ Y0 )
                  | ~ ( X2 @ Y0 ) ) ) ) )
      | ( $true
        = ( ~ ( sK0 @ X1 @ X4 )
          | ~ ( !! @ $i
              @ ^ [Y0: $i] :
                  ( ~ ( sK0 @ X4 @ Y0 )
                  | ( X2 @ Y0 ) ) ) ) )
      | ( $true
        = ( ~ ( sK0 @ X1 @ X3 ) ) ) ),
    inference(or_proxy_clausification,[],[f145]) ).

thf(f147,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $false
        = ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( sK0 @ X3 @ Y0 )
              | ~ ( X2 @ Y0 ) ) ) )
      | ( $true
        = ( ~ ( sK0 @ X1 @ X4 )
          | ~ ( !! @ $i
              @ ^ [Y0: $i] :
                  ( ~ ( sK0 @ X4 @ Y0 )
                  | ( X2 @ Y0 ) ) ) ) )
      | ( $true
        = ( ~ ( sK0 @ X1 @ X3 ) ) ) ),
    inference(not_proxy_clausification,[],[f146]) ).

thf(f148,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $false
        = ( ^ [Y0: $i] :
              ( ~ ( sK0 @ X3 @ Y0 )
              | ~ ( X2 @ Y0 ) )
          @ ( sK1 @ X3 @ X2 ) ) )
      | ( $true
        = ( ~ ( sK0 @ X1 @ X4 )
          | ~ ( !! @ $i
              @ ^ [Y0: $i] :
                  ( ~ ( sK0 @ X4 @ Y0 )
                  | ( X2 @ Y0 ) ) ) ) )
      | ( $true
        = ( ~ ( sK0 @ X1 @ X3 ) ) ) ),
    inference(sigma_proxy_clausification,[],[f147]) ).

thf(f149,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $false
        = ( ^ [Y0: $i] :
              ( ~ ( sK0 @ X3 @ Y0 )
              | ~ ( X2 @ Y0 ) )
          @ ( sK1 @ X3 @ X2 ) ) )
      | ( $true
        = ( ~ ( !! @ $i
              @ ^ [Y0: $i] :
                  ( ~ ( sK0 @ X4 @ Y0 )
                  | ( X2 @ Y0 ) ) ) ) )
      | ( $true
        = ( ~ ( sK0 @ X1 @ X3 ) ) )
      | ( $true
        = ( ~ ( sK0 @ X1 @ X4 ) ) ) ),
    inference(or_proxy_clausification,[],[f148]) ).

thf(f150,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $false
        = ( ^ [Y0: $i] :
              ( ~ ( sK0 @ X3 @ Y0 )
              | ~ ( X2 @ Y0 ) )
          @ ( sK1 @ X3 @ X2 ) ) )
      | ( $false
        = ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( sK0 @ X4 @ Y0 )
              | ( X2 @ Y0 ) ) ) )
      | ( $true
        = ( ~ ( sK0 @ X1 @ X3 ) ) )
      | ( $true
        = ( ~ ( sK0 @ X1 @ X4 ) ) ) ),
    inference(not_proxy_clausification,[],[f149]) ).

thf(f151,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $false
        = ( ^ [Y0: $i] :
              ( ~ ( sK0 @ X3 @ Y0 )
              | ~ ( X2 @ Y0 ) )
          @ ( sK1 @ X3 @ X2 ) ) )
      | ( $false
        = ( ^ [Y0: $i] :
              ( ~ ( sK0 @ X4 @ Y0 )
              | ( X2 @ Y0 ) )
          @ ( sK2 @ X2 @ X4 ) ) )
      | ( $true
        = ( ~ ( sK0 @ X1 @ X3 ) ) )
      | ( $true
        = ( ~ ( sK0 @ X1 @ X4 ) ) ) ),
    inference(sigma_proxy_clausification,[],[f150]) ).

thf(f152,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $false
        = ( ^ [Y0: $i] :
              ( ~ ( sK0 @ X3 @ Y0 )
              | ~ ( X2 @ Y0 ) )
          @ ( sK1 @ X3 @ X2 ) ) )
      | ( $false
        = ( ^ [Y0: $i] :
              ( ~ ( sK0 @ X4 @ Y0 )
              | ( X2 @ Y0 ) )
          @ ( sK2 @ X2 @ X4 ) ) )
      | ( $false
        = ( sK0 @ X1 @ X3 ) )
      | ( $true
        = ( ~ ( sK0 @ X1 @ X4 ) ) ) ),
    inference(not_proxy_clausification,[],[f151]) ).

thf(f153,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $false
        = ( ^ [Y0: $i] :
              ( ~ ( sK0 @ X3 @ Y0 )
              | ~ ( X2 @ Y0 ) )
          @ ( sK1 @ X3 @ X2 ) ) )
      | ( $false
        = ( ^ [Y0: $i] :
              ( ~ ( sK0 @ X4 @ Y0 )
              | ( X2 @ Y0 ) )
          @ ( sK2 @ X2 @ X4 ) ) )
      | ( $false
        = ( sK0 @ X1 @ X3 ) )
      | ( $false
        = ( sK0 @ X1 @ X4 ) ) ),
    inference(not_proxy_clausification,[],[f152]) ).

thf(f154,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $false
        = ( ~ ( sK0 @ X3 @ ( sK1 @ X3 @ X2 ) )
          | ~ ( X2 @ ( sK1 @ X3 @ X2 ) ) ) )
      | ( $false
        = ( ~ ( sK0 @ X4 @ ( sK2 @ X2 @ X4 ) )
          | ( X2 @ ( sK2 @ X2 @ X4 ) ) ) )
      | ( $false
        = ( sK0 @ X1 @ X3 ) )
      | ( $false
        = ( sK0 @ X1 @ X4 ) ) ),
    inference(beta-eta_normalization,[],[f153]) ).

thf(f155,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $false
        = ( ~ ( X2 @ ( sK1 @ X3 @ X2 ) ) ) )
      | ( $false
        = ( ~ ( sK0 @ X4 @ ( sK2 @ X2 @ X4 ) )
          | ( X2 @ ( sK2 @ X2 @ X4 ) ) ) )
      | ( $false
        = ( sK0 @ X1 @ X3 ) )
      | ( $false
        = ( sK0 @ X1 @ X4 ) ) ),
    inference(or_proxy_clausification,[],[f154]) ).

thf(f156,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $false
        = ( ~ ( sK0 @ X3 @ ( sK1 @ X3 @ X2 ) ) ) )
      | ( $false
        = ( ~ ( sK0 @ X4 @ ( sK2 @ X2 @ X4 ) )
          | ( X2 @ ( sK2 @ X2 @ X4 ) ) ) )
      | ( $false
        = ( sK0 @ X1 @ X3 ) )
      | ( $false
        = ( sK0 @ X1 @ X4 ) ) ),
    inference(or_proxy_clausification,[],[f154]) ).

thf(f157,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $true
        = ( sK0 @ X3 @ ( sK1 @ X3 @ X2 ) ) )
      | ( $false
        = ( ~ ( sK0 @ X4 @ ( sK2 @ X2 @ X4 ) )
          | ( X2 @ ( sK2 @ X2 @ X4 ) ) ) )
      | ( $false
        = ( sK0 @ X1 @ X3 ) )
      | ( $false
        = ( sK0 @ X1 @ X4 ) ) ),
    inference(not_proxy_clausification,[],[f156]) ).

thf(f158,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $true
        = ( sK0 @ X3 @ ( sK1 @ X3 @ X2 ) ) )
      | ( $false
        = ( X2 @ ( sK2 @ X2 @ X4 ) ) )
      | ( $false
        = ( sK0 @ X1 @ X3 ) )
      | ( $false
        = ( sK0 @ X1 @ X4 ) ) ),
    inference(or_proxy_clausification,[],[f157]) ).

thf(f159,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $true
        = ( sK0 @ X3 @ ( sK1 @ X3 @ X2 ) ) )
      | ( $false
        = ( ~ ( sK0 @ X4 @ ( sK2 @ X2 @ X4 ) ) ) )
      | ( $false
        = ( sK0 @ X1 @ X3 ) )
      | ( $false
        = ( sK0 @ X1 @ X4 ) ) ),
    inference(or_proxy_clausification,[],[f157]) ).

thf(f160,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $true
        = ( sK0 @ X3 @ ( sK1 @ X3 @ X2 ) ) )
      | ( $true
        = ( sK0 @ X4 @ ( sK2 @ X2 @ X4 ) ) )
      | ( $false
        = ( sK0 @ X1 @ X3 ) )
      | ( $false
        = ( sK0 @ X1 @ X4 ) ) ),
    inference(not_proxy_clausification,[],[f159]) ).

thf(f161,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $true
        = ( X2 @ ( sK1 @ X3 @ X2 ) ) )
      | ( $false
        = ( ~ ( sK0 @ X4 @ ( sK2 @ X2 @ X4 ) )
          | ( X2 @ ( sK2 @ X2 @ X4 ) ) ) )
      | ( $false
        = ( sK0 @ X1 @ X3 ) )
      | ( $false
        = ( sK0 @ X1 @ X4 ) ) ),
    inference(not_proxy_clausification,[],[f155]) ).

thf(f162,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $true
        = ( X2 @ ( sK1 @ X3 @ X2 ) ) )
      | ( $false
        = ( X2 @ ( sK2 @ X2 @ X4 ) ) )
      | ( $false
        = ( sK0 @ X1 @ X3 ) )
      | ( $false
        = ( sK0 @ X1 @ X4 ) ) ),
    inference(or_proxy_clausification,[],[f161]) ).

thf(f163,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $true
        = ( X2 @ ( sK1 @ X3 @ X2 ) ) )
      | ( $false
        = ( ~ ( sK0 @ X4 @ ( sK2 @ X2 @ X4 ) ) ) )
      | ( $false
        = ( sK0 @ X1 @ X3 ) )
      | ( $false
        = ( sK0 @ X1 @ X4 ) ) ),
    inference(or_proxy_clausification,[],[f161]) ).

thf(f164,plain,
    ! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
      ( ( $true
        = ( X2 @ ( sK1 @ X3 @ X2 ) ) )
      | ( $true
        = ( sK0 @ X4 @ ( sK2 @ X2 @ X4 ) ) )
      | ( $false
        = ( sK0 @ X1 @ X3 ) )
      | ( $false
        = ( sK0 @ X1 @ X4 ) ) ),
    inference(not_proxy_clausification,[],[f163]) ).

thf(f165,plain,
    ( $true
   != ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( ( sK0 @ Y2 @ Y1 )
                    & ( sK0 @ Y2 @ Y0 ) )
                 => ( ?? @ $i
                    @ ^ [Y3: $i] :
                        ( ( sK0 @ Y1 @ Y3 )
                        & ( sK0 @ Y0 @ Y3 ) ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f133]) ).

thf(f166,plain,
    ( $false
    = ( ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( ( sK0 @ Y2 @ Y1 )
                    & ( sK0 @ Y2 @ Y0 ) )
                 => ( ?? @ $i
                    @ ^ [Y3: $i] :
                        ( ( sK0 @ Y1 @ Y3 )
                        & ( sK0 @ Y0 @ Y3 ) ) ) ) ) )
      @ sK3 ) ),
    inference(sigma_proxy_clausification,[],[f165]) ).

thf(f167,plain,
    ( $false
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ( ( sK0 @ Y1 @ Y0 )
                & ( sK0 @ Y1 @ sK3 ) )
             => ( ?? @ $i
                @ ^ [Y2: $i] :
                    ( ( sK0 @ Y0 @ Y2 )
                    & ( sK0 @ sK3 @ Y2 ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f166]) ).

thf(f168,plain,
    ( $false
    = ( ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ( ( sK0 @ Y1 @ Y0 )
                & ( sK0 @ Y1 @ sK3 ) )
             => ( ?? @ $i
                @ ^ [Y2: $i] :
                    ( ( sK0 @ Y0 @ Y2 )
                    & ( sK0 @ sK3 @ Y2 ) ) ) ) )
      @ sK4 ) ),
    inference(sigma_proxy_clausification,[],[f167]) ).

thf(f169,plain,
    ( $false
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( ( sK0 @ Y0 @ sK4 )
            & ( sK0 @ Y0 @ sK3 ) )
         => ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ( sK0 @ sK4 @ Y1 )
                & ( sK0 @ sK3 @ Y1 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f168]) ).

thf(f170,plain,
    ( $false
    = ( ^ [Y0: $i] :
          ( ( ( sK0 @ Y0 @ sK4 )
            & ( sK0 @ Y0 @ sK3 ) )
         => ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ( sK0 @ sK4 @ Y1 )
                & ( sK0 @ sK3 @ Y1 ) ) ) )
      @ sK5 ) ),
    inference(sigma_proxy_clausification,[],[f169]) ).

thf(f171,plain,
    ( $false
    = ( ( ( sK0 @ sK5 @ sK4 )
        & ( sK0 @ sK5 @ sK3 ) )
     => ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( sK0 @ sK4 @ Y0 )
            & ( sK0 @ sK3 @ Y0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f170]) ).

thf(f172,plain,
    ( $false
    = ( ?? @ $i
      @ ^ [Y0: $i] :
          ( ( sK0 @ sK4 @ Y0 )
          & ( sK0 @ sK3 @ Y0 ) ) ) ),
    inference(imp_proxy_clausification,[],[f171]) ).

thf(f173,plain,
    ( $true
    = ( ( sK0 @ sK5 @ sK4 )
      & ( sK0 @ sK5 @ sK3 ) ) ),
    inference(imp_proxy_clausification,[],[f171]) ).

thf(f174,plain,
    ( $true
    = ( sK0 @ sK5 @ sK3 ) ),
    inference(and_proxy_clausification,[],[f173]) ).

thf(f175,plain,
    ( $true
    = ( sK0 @ sK5 @ sK4 ) ),
    inference(and_proxy_clausification,[],[f173]) ).

thf(f176,plain,
    ! [X1: $i] :
      ( $false
      = ( ^ [Y0: $i] :
            ( ( sK0 @ sK4 @ Y0 )
            & ( sK0 @ sK3 @ Y0 ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f172]) ).

thf(f177,plain,
    ! [X1: $i] :
      ( $false
      = ( ( sK0 @ sK4 @ X1 )
        & ( sK0 @ sK3 @ X1 ) ) ),
    inference(beta-eta_normalization,[],[f176]) ).

thf(f178,plain,
    ! [X1: $i] :
      ( ( $false
        = ( sK0 @ sK4 @ X1 ) )
      | ( $false
        = ( sK0 @ sK3 @ X1 ) ) ),
    inference(and_proxy_clausification,[],[f177]) ).

thf(f208,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i > $i,X4: $i] :
      ( ( $true = $false )
      | ( $false
        = ( sK0 @ sK3 @ X0 ) )
      | ( $false
        = ( ^ [Y0: $i] :
              ( sK0
              @ ( ^ [Y1: $i] : sK4
                @ Y0 )
              @ ( X1 @ Y0 ) )
          @ ( sK2
            @ ^ [Y0: $i] :
                ( sK0
                @ ( ^ [Y1: $i] : sK4
                  @ Y0 )
                @ ( X1 @ Y0 ) )
            @ X3 ) ) )
      | ( $false
        = ( sK0 @ X4 @ X2 ) )
      | ( $false
        = ( sK0 @ X4 @ X3 ) )
      | ( ( X1
          @ ( sK1 @ X2
            @ ^ [Y0: $i] : ( sK0 @ sK4 @ ( X1 @ Y0 ) ) ) )
       != X0 ) ),
    inference(constrained_superposition,[],[f178,f162]) ).

thf(f279,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i > $i,X4: $i] :
      ( ( $false
        = ( sK0 @ sK3 @ X0 ) )
      | ( $false
        = ( ^ [Y0: $i] :
              ( sK0
              @ ( ^ [Y1: $i] : sK4
                @ Y0 )
              @ ( X1 @ Y0 ) )
          @ ( sK2
            @ ^ [Y0: $i] :
                ( sK0
                @ ( ^ [Y1: $i] : sK4
                  @ Y0 )
                @ ( X1 @ Y0 ) )
            @ X3 ) ) )
      | ( $false
        = ( sK0 @ X4 @ X2 ) )
      | ( $false
        = ( sK0 @ X4 @ X3 ) )
      | ( ( X1
          @ ( sK1 @ X2
            @ ^ [Y0: $i] : ( sK0 @ sK4 @ ( X1 @ Y0 ) ) ) )
       != X0 ) ),
    inference(trivial_inequality_removal,[],[f208]) ).

thf(f280,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i > $i,X4: $i] :
      ( ( $false
        = ( sK0 @ sK3 @ X0 ) )
      | ( $false
        = ( sK0 @ sK4
          @ ( X1
            @ ( sK2
              @ ^ [Y0: $i] : ( sK0 @ sK4 @ ( X1 @ Y0 ) )
              @ X3 ) ) ) )
      | ( $false
        = ( sK0 @ X4 @ X2 ) )
      | ( $false
        = ( sK0 @ X4 @ X3 ) )
      | ( ( X1
          @ ( sK1 @ X2
            @ ^ [Y0: $i] : ( sK0 @ sK4 @ ( X1 @ Y0 ) ) ) )
       != X0 ) ),
    inference(beta-eta_normalization,[],[f279]) ).

thf(f486,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i > $i,X4: $i] :
      ( ( $true = $false )
      | ( $false
        = ( sK0 @ sK3 @ X0 ) )
      | ( $true
        = ( sK0 @ X3
          @ ( sK2
            @ ^ [Y0: $i] :
                ( sK0
                @ ( ^ [Y1: $i] : sK4
                  @ Y0 )
                @ ( X1 @ Y0 ) )
            @ X3 ) ) )
      | ( $false
        = ( sK0 @ X4 @ X2 ) )
      | ( $false
        = ( sK0 @ X4 @ X3 ) )
      | ( ( X1
          @ ( sK1 @ X2
            @ ^ [Y0: $i] : ( sK0 @ sK4 @ ( X1 @ Y0 ) ) ) )
       != X0 ) ),
    inference(constrained_superposition,[],[f178,f164]) ).

thf(f569,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i > $i,X4: $i] :
      ( ( $false
        = ( sK0 @ sK3 @ X0 ) )
      | ( $true
        = ( sK0 @ X3
          @ ( sK2
            @ ^ [Y0: $i] :
                ( sK0
                @ ( ^ [Y1: $i] : sK4
                  @ Y0 )
                @ ( X1 @ Y0 ) )
            @ X3 ) ) )
      | ( $false
        = ( sK0 @ X4 @ X2 ) )
      | ( $false
        = ( sK0 @ X4 @ X3 ) )
      | ( ( X1
          @ ( sK1 @ X2
            @ ^ [Y0: $i] : ( sK0 @ sK4 @ ( X1 @ Y0 ) ) ) )
       != X0 ) ),
    inference(trivial_inequality_removal,[],[f486]) ).

thf(f570,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i > $i,X4: $i] :
      ( ( $false
        = ( sK0 @ sK3 @ X0 ) )
      | ( $true
        = ( sK0 @ X3
          @ ( sK2
            @ ^ [Y0: $i] : ( sK0 @ sK4 @ ( X1 @ Y0 ) )
            @ X3 ) ) )
      | ( $false
        = ( sK0 @ X4 @ X2 ) )
      | ( $false
        = ( sK0 @ X4 @ X3 ) )
      | ( ( X1
          @ ( sK1 @ X2
            @ ^ [Y0: $i] : ( sK0 @ sK4 @ ( X1 @ Y0 ) ) ) )
       != X0 ) ),
    inference(beta-eta_normalization,[],[f569]) ).

thf(f40195,plain,
    ! [X2: $i,X3: $i,X0: $i > $i,X1: $i,X6: $i,X4: $i,X5: $i] :
      ( ( $true = $false )
      | ( $false
        = ( sK0 @ sK3 @ X1 ) )
      | ( $false
        = ( sK0 @ X2 @ X3 ) )
      | ( $false
        = ( sK0 @ X2 @ sK4 ) )
      | ( ( ^ [Y0: $i] : Y0
          @ ( sK1 @ X3
            @ ^ [Y0: $i] :
                ( sK0 @ sK4
                @ ( ^ [Y1: $i] : Y1
                  @ Y0 ) ) ) )
       != X1 )
      | ( $false
        = ( sK0 @ sK3 @ X4 ) )
      | ( $false
        = ( sK0 @ X5 @ X6 ) )
      | ( $false
        = ( sK0 @ X5 @ sK4 ) )
      | ( ( X0
          @ ( sK1 @ X6
            @ ^ [Y0: $i] : ( sK0 @ sK4 @ ( X0 @ Y0 ) ) ) )
       != X4 )
      | ( ( ^ [Y0: $i] : Y0 )
       != X0 ) ),
    inference(constrained_superposition,[],[f280,f570]) ).

thf(f41103,plain,
    ! [X2: $i,X3: $i,X0: $i > $i,X1: $i,X6: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( sK0 @ sK3 @ X1 ) )
      | ( $false
        = ( sK0 @ X2 @ X3 ) )
      | ( $false
        = ( sK0 @ X2 @ sK4 ) )
      | ( ( ^ [Y0: $i] : Y0
          @ ( sK1 @ X3
            @ ^ [Y0: $i] :
                ( sK0 @ sK4
                @ ( ^ [Y1: $i] : Y1
                  @ Y0 ) ) ) )
       != X1 )
      | ( $false
        = ( sK0 @ sK3 @ X4 ) )
      | ( $false
        = ( sK0 @ X5 @ X6 ) )
      | ( $false
        = ( sK0 @ X5 @ sK4 ) )
      | ( ( X0
          @ ( sK1 @ X6
            @ ^ [Y0: $i] : ( sK0 @ sK4 @ ( X0 @ Y0 ) ) ) )
       != X4 )
      | ( ( ^ [Y0: $i] : Y0 )
       != X0 ) ),
    inference(trivial_inequality_removal,[],[f40195]) ).

thf(f41104,plain,
    ! [X2: $i,X3: $i,X0: $i > $i,X1: $i,X6: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( sK0 @ sK3 @ X1 ) )
      | ( $false
        = ( sK0 @ X2 @ X3 ) )
      | ( $false
        = ( sK0 @ X2 @ sK4 ) )
      | ( ( sK1 @ X3 @ ( sK0 @ sK4 ) )
       != X1 )
      | ( $false
        = ( sK0 @ sK3 @ X4 ) )
      | ( $false
        = ( sK0 @ X5 @ X6 ) )
      | ( $false
        = ( sK0 @ X5 @ sK4 ) )
      | ( ( X0
          @ ( sK1 @ X6
            @ ^ [Y0: $i] : ( sK0 @ sK4 @ ( X0 @ Y0 ) ) ) )
       != X4 )
      | ( ( ^ [Y0: $i] : Y0 )
       != X0 ) ),
    inference(beta-eta_normalization,[],[f41103]) ).

thf(f41201,definition,
    ( spl6_23
  <=> ! [X6: $i,X4: $i,X5: $i] :
        ( ( $false
          = ( sK0 @ sK3 @ X4 ) )
        | ( $false
          = ( sK0 @ X5 @ X6 ) )
        | ( ( sK1 @ X6 @ ( sK0 @ sK4 ) )
         != X4 )
        | ( $false
          = ( sK0 @ X5 @ sK4 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl6_23])],[avatar_definition]) ).

thf(f41202,plain,
    ( ! [X6: $i,X4: $i,X5: $i] :
        ( ( ( sK1 @ X6 @ ( sK0 @ sK4 ) )
         != X4 )
        | ( $false
          = ( sK0 @ X5 @ X6 ) )
        | ( $false
          = ( sK0 @ sK3 @ X4 ) )
        | ( $false
          = ( sK0 @ X5 @ sK4 ) ) )
    | ~ spl6_23 ),
    inference(avatar_component_clause,[],[f41201]) ).

thf(f41204,definition,
    ( spl6_24
  <=> ! [X0: $i > $i,X3: $i,X2: $i,X1: $i] :
        ( ( $false
          = ( sK0 @ sK3 @ X1 ) )
        | ( ( ^ [Y0: $i] : Y0 )
         != X0 )
        | ( ( X0
            @ ( sK1 @ X3
              @ ^ [Y0: $i] : ( sK0 @ sK4 @ ( X0 @ Y0 ) ) ) )
         != X1 )
        | ( $false
          = ( sK0 @ X2 @ X3 ) )
        | ( $false
          = ( sK0 @ X2 @ sK4 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl6_24])],[avatar_definition]) ).

thf(f41205,plain,
    ( ! [X2: $i,X3: $i,X0: $i > $i,X1: $i] :
        ( ( ( ^ [Y0: $i] : Y0 )
         != X0 )
        | ( $false
          = ( sK0 @ sK3 @ X1 ) )
        | ( $false
          = ( sK0 @ X2 @ X3 ) )
        | ( $false
          = ( sK0 @ X2 @ sK4 ) )
        | ( ( X0
            @ ( sK1 @ X3
              @ ^ [Y0: $i] : ( sK0 @ sK4 @ ( X0 @ Y0 ) ) ) )
         != X1 ) )
    | ~ spl6_24 ),
    inference(avatar_component_clause,[],[f41204]) ).

thf(f41259,plain,
    ( spl6_24
    | spl6_23 ),
    inference(avatar_split_clause,[],[f41104,f41201,f41204]) ).

thf(f41276,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( sK0 @ X0 @ X1 ) )
        | ( $false
          = ( sK0 @ sK3 @ ( sK1 @ X1 @ ( sK0 @ sK4 ) ) ) )
        | ( $false
          = ( sK0 @ X0 @ sK4 ) ) )
    | ~ spl6_23 ),
    inference(equality_resolution,[],[f41202]) ).

thf(f41338,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true = $false )
        | ( $false
          = ( sK0 @ X0 @ sK3 ) )
        | ( $false
          = ( sK0 @ X0 @ sK4 ) )
        | ( $false
          = ( sK0 @ sK4 @ ( sK2 @ ( sK0 @ sK4 ) @ X1 ) ) )
        | ( $false
          = ( sK0 @ X2 @ sK3 ) )
        | ( $false
          = ( sK0 @ X2 @ X1 ) ) )
    | ~ spl6_23 ),
    inference(constrained_superposition,[],[f41276,f158]) ).

thf(f41339,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true = $false )
        | ( $false
          = ( sK0 @ X0 @ sK3 ) )
        | ( $false
          = ( sK0 @ X0 @ sK4 ) )
        | ( $true
          = ( sK0 @ X1 @ ( sK2 @ ( sK0 @ sK4 ) @ X1 ) ) )
        | ( $false
          = ( sK0 @ X2 @ sK3 ) )
        | ( $false
          = ( sK0 @ X2 @ X1 ) ) )
    | ~ spl6_23 ),
    inference(constrained_superposition,[],[f41276,f160]) ).

thf(f41981,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( sK0 @ X0 @ sK3 ) )
        | ( $false
          = ( sK0 @ X0 @ sK4 ) )
        | ( $true
          = ( sK0 @ X1 @ ( sK2 @ ( sK0 @ sK4 ) @ X1 ) ) )
        | ( $false
          = ( sK0 @ X2 @ sK3 ) )
        | ( $false
          = ( sK0 @ X2 @ X1 ) ) )
    | ~ spl6_23 ),
    inference(trivial_inequality_removal,[],[f41339]) ).

thf(f41982,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( sK0 @ X0 @ sK3 ) )
        | ( $false
          = ( sK0 @ X0 @ sK4 ) )
        | ( $false
          = ( sK0 @ sK4 @ ( sK2 @ ( sK0 @ sK4 ) @ X1 ) ) )
        | ( $false
          = ( sK0 @ X2 @ sK3 ) )
        | ( $false
          = ( sK0 @ X2 @ X1 ) ) )
    | ~ spl6_23 ),
    inference(trivial_inequality_removal,[],[f41338]) ).

thf(f42065,definition,
    ( spl6_39
  <=> ! [X1: $i] :
        ( ( $false
          = ( sK0 @ X1 @ sK3 ) )
        | ( $false
          = ( sK0 @ X1 @ sK4 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl6_39])],[avatar_definition]) ).

thf(f42066,plain,
    ( ! [X1: $i] :
        ( ( $false
          = ( sK0 @ X1 @ sK4 ) )
        | ( $false
          = ( sK0 @ X1 @ sK3 ) ) )
    | ~ spl6_39 ),
    inference(avatar_component_clause,[],[f42065]) ).

thf(f42078,definition,
    ( spl6_42
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
          = ( sK0 @ X0 @ ( sK2 @ ( sK0 @ sK4 ) @ X0 ) ) )
        | ( $false
          = ( sK0 @ X1 @ sK3 ) )
        | ( $false
          = ( sK0 @ X1 @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl6_42])],[avatar_definition]) ).

thf(f42079,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( sK0 @ X0 @ ( sK2 @ ( sK0 @ sK4 ) @ X0 ) ) )
        | ( $false
          = ( sK0 @ X1 @ sK3 ) )
        | ( $false
          = ( sK0 @ X1 @ X0 ) ) )
    | ~ spl6_42 ),
    inference(avatar_component_clause,[],[f42078]) ).

thf(f42082,definition,
    ( spl6_43
  <=> ! [X0: $i,X1: $i] :
        ( ( $false
          = ( sK0 @ sK4 @ ( sK2 @ ( sK0 @ sK4 ) @ X0 ) ) )
        | ( $false
          = ( sK0 @ X1 @ sK3 ) )
        | ( $false
          = ( sK0 @ X1 @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl6_43])],[avatar_definition]) ).

thf(f42083,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( sK0 @ sK4 @ ( sK2 @ ( sK0 @ sK4 ) @ X0 ) ) )
        | ( $false
          = ( sK0 @ X1 @ sK3 ) )
        | ( $false
          = ( sK0 @ X1 @ X0 ) ) )
    | ~ spl6_43 ),
    inference(avatar_component_clause,[],[f42082]) ).

thf(f45885,plain,
    ( spl6_42
    | spl6_39
    | ~ spl6_23 ),
    inference(avatar_split_clause,[],[f41981,f41201,f42065,f42078]) ).

thf(f45886,plain,
    ( spl6_43
    | spl6_39
    | ~ spl6_23 ),
    inference(avatar_split_clause,[],[f41982,f41201,f42065,f42082]) ).

thf(f48921,plain,
    ( ( $true = $false )
    | ( $false
      = ( sK0 @ sK5 @ sK3 ) )
    | ~ spl6_39 ),
    inference(constrained_superposition,[],[f175,f42066]) ).

thf(f49021,plain,
    ( ( $false
      = ( sK0 @ sK5 @ sK3 ) )
    | ~ spl6_39 ),
    inference(trivial_inequality_removal,[],[f48921]) ).

thf(f49077,plain,
    ( ( $true = $false )
    | ~ spl6_39 ),
    inference(constrained_superposition,[],[f49021,f174]) ).

thf(f49258,plain,
    ( $false
    | ~ spl6_39 ),
    inference(trivial_inequality_removal,[],[f49077]) ).

thf(f49259,plain,
    ~ spl6_39,
    inference(avatar_contradiction_clause,[],[f49258]) ).

thf(f62812,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true = $false )
        | ( $false
          = ( sK0 @ X0 @ sK3 ) )
        | ( $false
          = ( sK0 @ X0 @ sK4 ) )
        | ( $false
          = ( sK0 @ X1 @ sK3 ) )
        | ( $false
          = ( sK0 @ X1 @ sK4 ) ) )
    | ~ spl6_42
    | ~ spl6_43 ),
    inference(constrained_superposition,[],[f42083,f42079]) ).

thf(f63568,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( sK0 @ X0 @ sK3 ) )
        | ( $false
          = ( sK0 @ X0 @ sK4 ) )
        | ( $false
          = ( sK0 @ X1 @ sK3 ) )
        | ( $false
          = ( sK0 @ X1 @ sK4 ) ) )
    | ~ spl6_42
    | ~ spl6_43 ),
    inference(trivial_inequality_removal,[],[f62812]) ).

thf(f63610,plain,
    ( spl6_39
    | spl6_39
    | ~ spl6_42
    | ~ spl6_43 ),
    inference(avatar_split_clause,[],[f63568,f42082,f42078,f42065,f42065]) ).

thf(f143728,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( sK0 @ sK3 @ X0 ) )
        | ( $false
          = ( sK0 @ X1 @ X2 ) )
        | ( $false
          = ( sK0 @ X1 @ sK4 ) )
        | ( ( ^ [Y0: $i] : Y0
            @ ( sK1 @ X2
              @ ^ [Y0: $i] :
                  ( sK0 @ sK4
                  @ ( ^ [Y1: $i] : Y1
                    @ Y0 ) ) ) )
         != X0 ) )
    | ~ spl6_24 ),
    inference(equality_resolution,[],[f41205]) ).

thf(f143729,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $false
          = ( sK0 @ sK3 @ X0 ) )
        | ( $false
          = ( sK0 @ X1 @ X2 ) )
        | ( $false
          = ( sK0 @ X1 @ sK4 ) )
        | ( ( sK1 @ X2 @ ( sK0 @ sK4 ) )
         != X0 ) )
    | ~ spl6_24 ),
    inference(beta-eta_normalization,[],[f143728]) ).

thf(f143731,plain,
    ( spl6_23
    | ~ spl6_24 ),
    inference(avatar_split_clause,[],[f143729,f41204,f41201]) ).

cnf(s67,plain,
    ( spl6_23
    | spl6_24 ),
    inference(sat_conversion,[],[f41259]) ).

cnf(s120,plain,
    ( ~ spl6_23
    | spl6_39
    | spl6_42 ),
    inference(sat_conversion,[],[f45885]) ).

cnf(s121,plain,
    ( ~ spl6_23
    | spl6_39
    | spl6_43 ),
    inference(sat_conversion,[],[f45886]) ).

cnf(s125,plain,
    ~ spl6_39,
    inference(sat_conversion,[],[f49259]) ).

cnf(s159,plain,
    ( spl6_39
    | spl6_39
    | ~ spl6_42
    | ~ spl6_43 ),
    inference(sat_conversion,[],[f63610]) ).

cnf(s160,plain,
    ( spl6_39
    | ~ spl6_42
    | ~ spl6_43 ),
    inference(rat,[],[s159]) ).

cnf(s367,plain,
    ( spl6_23
    | ~ spl6_24 ),
    inference(sat_conversion,[],[f143731]) ).

cnf(s394,plain,
    ( ~ spl6_23
    | spl6_43 ),
    inference(rat,[],[s121,s125]) ).

cnf(s395,plain,
    ( ~ spl6_23
    | spl6_42 ),
    inference(rat,[],[s120,s125]) ).

cnf(s446,plain,
    spl6_23,
    inference(rat,[],[s67,s367]) ).

cnf(s447,plain,
    spl6_43,
    inference(rat,[],[s394,s446]) ).

cnf(s448,plain,
    spl6_42,
    inference(rat,[],[s395,s446]) ).

cnf(s458,plain,
    $false,
    inference(rat,[],[s160,s125,s447,s448]) ).

thf(f143732,plain,
    $false,
    inference(avatar_sat_refutation,[],[s458]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL718^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n026.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Tue Sep 29 09:56:57 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.24/1.35  % (381753)Will run a generic schedule for satisfiability detection.
% 7.24/1.35  % (381759)% WARNING: option uhcvi not known.
% 7.24/1.35  % (381758)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3712075427_2999 on theBenchmark for (2999ds/0Mi)
% 7.24/1.35  % (381759)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3443102996:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.24/1.35  % (381759)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.24/1.35  % Exception at run slice level
% 7.24/1.35  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.24/1.35  % (381759)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.24/1.35  % (381760)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3653181409:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.24/1.35  % (381767)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3157147941:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.24/1.35  % (381762)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3562141568:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.24/1.35  % (381763)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1509367161:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.24/1.35  % Exception at run slice level
% 7.24/1.35  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.24/1.35  % (381762)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.24/1.35  % (381764)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1657795979:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.24/1.35  % (381761)dis+10_1_sil=32000:sp=arity:random_seed=2108919411:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.24/1.35  % (381773)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3208878276:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.24/1.35  % (381763)Instruction limit reached! 
% 7.24/1.35  % (381763)------------------------------
% 7.24/1.35  % (381763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.24/1.35  % (381763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.35  % (381763)CaDiCaL version: 2.1.3
% 7.24/1.35  % (381763)Termination reason: Instruction limit
% 7.24/1.35  % (381763)Termination phase: Saturation
% 7.24/1.35  % (381763)Time elapsed: 0.033 s
% 7.24/1.35  % (381763)Peak memory usage: 12 MB
% 7.24/1.35  % (381763)Instructions burned: 135 (million)
% 7.24/1.35  % (381776)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3951759232:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 7.24/1.35  % (381776)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.24/1.35  % (381776)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.24/1.35  % (381762)Instruction limit reached! 
% 7.24/1.35  % (381762)------------------------------
% 7.24/1.35  % (381762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.24/1.35  % (381762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.35  % (381762)CaDiCaL version: 2.1.3
% 7.24/1.35  % (381762)Termination reason: Instruction limit
% 7.24/1.35  % (381762)Termination phase: Saturation
% 7.24/1.35  % (381762)Time elapsed: 0.061 s
% 7.24/1.35  % (381762)Peak memory usage: 12 MB
% 7.24/1.35  % (381762)Instructions burned: 118 (million)
% 7.24/1.35  % (381778)ott-21_1_sil=16000:fs=off:random_seed=590513185:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.24/1.35  % (381773)Instruction limit reached! 
% 7.24/1.35  % (381773)------------------------------
% 7.24/1.35  % (381773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.24/1.35  % (381761)Instruction limit reached! 
% 7.24/1.35  % (381761)------------------------------
% 7.24/1.35  % (381761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.24/1.35  % (381761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.35  % (381773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.35  % (381761)CaDiCaL version: 2.1.3
% 21.44/3.48  % (381761)Termination reason: Instruction limit
% 21.44/3.48  % (381761)Termination phase: Saturation
% 21.44/3.48  % (381761)Time elapsed: 0.087 s
% 21.44/3.48  % (381773)CaDiCaL version: 2.1.3
% 21.44/3.48  % (381761)Peak memory usage: 12 MB
% 21.44/3.48  % (381773)Termination reason: Instruction limit
% 21.44/3.48  % (381773)Termination phase: Saturation
% 21.44/3.48  % (381761)Instructions burned: 103 (million)
% 21.44/3.48  % (381773)Time elapsed: 0.075 s
% 21.44/3.48  % (381773)Peak memory usage: 12 MB
% 21.44/3.48  % (381773)Instructions burned: 132 (million)
% 21.44/3.48  % (381780)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=501398551:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 21.44/3.48  % (381781)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1660908918:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 21.44/3.48  % Exception at run slice level
% 21.44/3.48  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.44/3.48  % (381764)Instruction limit reached! 
% 21.44/3.48  % (381764)------------------------------
% 21.44/3.48  % (381764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.44/3.48  % (381764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.44/3.48  % (381764)CaDiCaL version: 2.1.3
% 21.44/3.48  % (381764)Termination reason: Instruction limit
% 21.44/3.48  % (381764)Termination phase: Saturation
% 21.44/3.48  % (381764)Time elapsed: 0.135 s
% 21.44/3.48  % (381764)Peak memory usage: 12 MB
% 21.44/3.48  % (381764)Instructions burned: 160 (million)
% 21.44/3.48  % (381784)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3930074897:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 21.44/3.48  % (381778)Instruction limit reached! 
% 21.44/3.48  % (381778)------------------------------
% 21.44/3.48  % (381778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.44/3.48  % (381778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.44/3.48  % (381778)CaDiCaL version: 2.1.3
% 21.44/3.48  % (381778)Termination reason: Instruction limit
% 21.44/3.48  % (381778)Termination phase: Saturation
% 21.44/3.48  % (381778)Time elapsed: 0.059 s
% 21.44/3.48  % (381778)Peak memory usage: 12 MB
% 21.44/3.48  % (381778)Instructions burned: 183 (million)
% 21.44/3.48  % (381785)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2424444259:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 21.44/3.48  % Exception at run slice level
% 21.44/3.48  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.44/3.48  % (381787)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1065997429:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 21.44/3.48  % (381787)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.44/3.48  % (381789)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1440141377:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 21.44/3.48  % (381789)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.44/3.48  % (381787)Instruction limit reached! 
% 21.44/3.48  % (381787)------------------------------
% 21.44/3.48  % (381787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.44/3.48  % (381787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.44/3.48  % (381787)CaDiCaL version: 2.1.3
% 21.44/3.48  % (381787)Termination reason: Instruction limit
% 21.44/3.48  % (381787)Termination phase: Saturation
% 21.44/3.48  % (381787)Time elapsed: 0.167 s
% 21.44/3.48  % (381787)Peak memory usage: 15 MB
% 21.44/3.48  % (381787)Instructions burned: 693 (million)
% 21.44/3.48  % (381792)fmb+10_1_sil=64000:random_seed=1467561535:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 21.44/3.48  % (381792)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 21.44/3.48  % Exception at run slice level
% 21.44/3.48  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.44/3.48  % (381794)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=953761534:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 21.44/3.48  % Exception at run slice level
% 21.44/3.48  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.44/3.48  % (381796)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1897513268:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 38.96/5.96  % (381776)Instruction limit reached! 
% 38.96/5.96  % (381776)------------------------------
% 38.96/5.96  % (381776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.96/5.96  % (381776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.96/5.96  % (381776)CaDiCaL version: 2.1.3
% 38.96/5.96  % (381776)Termination reason: Instruction limit
% 38.96/5.96  % (381776)Termination phase: Saturation
% 38.96/5.96  % (381776)Time elapsed: 0.337 s
% 38.96/5.96  % (381776)Peak memory usage: 14 MB
% 38.96/5.96  % (381776)Instructions burned: 684 (million)
% 38.96/5.96  % Exception at run slice level
% 38.96/5.96  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 38.96/5.96  % (381798)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=130274909:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 38.96/5.96  % (381798)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 38.96/5.96  % (381799)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2137441833:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 38.96/5.96  % (381799)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 38.96/5.96  % (381799)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 38.96/5.96  % (381780)Instruction limit reached! 
% 38.96/5.96  % (381780)------------------------------
% 38.96/5.96  % (381780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.96/5.96  % (381780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.96/5.96  % (381780)CaDiCaL version: 2.1.3
% 38.96/5.96  % (381780)Termination reason: Instruction limit
% 38.96/5.96  % (381780)Termination phase: Saturation
% 38.96/5.96  % (381780)Time elapsed: 0.400 s
% 38.96/5.96  % (381780)Peak memory usage: 13 MB
% 38.96/5.96  % (381780)Instructions burned: 478 (million)
% 38.96/5.96  % (381802)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=958607749:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 38.96/5.96  % Exception at run slice level
% 38.96/5.96  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 38.96/5.96  % (381804)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4028593703:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 38.96/5.96  % Exception at run slice level
% 38.96/5.96  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 38.96/5.96  % (381806)ott-2_1_sil=16000:newcnf=on:random_seed=714577105:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 38.96/5.96  % (381806)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 38.96/5.96  % (381789)Instruction limit reached! 
% 38.96/5.96  % (381789)------------------------------
% 38.96/5.96  % (381789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.96/5.96  % (381789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.96/5.96  % (381789)CaDiCaL version: 2.1.3
% 38.96/5.96  % (381789)Termination reason: Instruction limit
% 38.96/5.96  % (381789)Termination phase: Saturation
% 38.96/5.96  % (381789)Time elapsed: 0.444 s
% 38.96/5.96  % (381789)Peak memory usage: 15 MB
% 38.96/5.96  % (381789)Instructions burned: 879 (million)
% 38.96/5.96  % (381808)ott+10_1_sil=32000:tgt=ground:random_seed=2543347198:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 38.96/5.96  % (381806)Instruction limit reached! 
% 38.96/5.96  % (381806)------------------------------
% 38.96/5.96  % (381806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.96/5.96  % (381806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.96/5.96  % (381806)CaDiCaL version: 2.1.3
% 38.96/5.96  % (381806)Termination reason: Instruction limit
% 38.96/5.96  % (381806)Termination phase: Saturation
% 38.96/5.96  % (381806)Time elapsed: 0.408 s
% 38.96/5.96  % (381806)Peak memory usage: 15 MB
% 38.96/5.96  % (381806)Instructions burned: 872 (million)
% 38.96/5.96  % (381810)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1867343832:i=54282_2989 on theBenchmark for (2989ds/54282Mi)
% 38.96/5.96  % Exception at run slice level
% 38.96/5.96  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 38.96/5.96  % (381812)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3873949550:i=3512:aac=none_2988 on theBenchmark for (2988ds/3512Mi)
% 102.59/14.84  % (381812)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 102.59/14.84  % (381784)Instruction limit reached! 
% 102.59/14.84  % (381784)------------------------------
% 102.59/14.84  % (381784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.59/14.84  % (381784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.59/14.84  % (381784)CaDiCaL version: 2.1.3
% 102.59/14.84  % (381784)Termination reason: Instruction limit
% 102.59/14.84  % (381784)Termination phase: Saturation
% 102.59/14.84  % (381784)Time elapsed: 0.938 s
% 102.59/14.84  % (381784)Peak memory usage: 14 MB
% 102.59/14.84  % (381784)Instructions burned: 1180 (million)
% 102.59/14.84  % (381814)dis+21_1_sil=32000:sas=cadical:random_seed=3169901122:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 102.59/14.84  % (381799)Instruction limit reached! 
% 102.59/14.84  % (381799)------------------------------
% 102.59/14.84  % (381799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.59/14.84  % (381799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.59/14.84  % (381799)CaDiCaL version: 2.1.3
% 102.59/14.84  % (381799)Termination reason: Instruction limit
% 102.59/14.84  % (381799)Termination phase: Saturation
% 102.59/14.84  % (381799)Time elapsed: 0.852 s
% 102.59/14.84  % (381799)Peak memory usage: 18 MB
% 102.59/14.84  % (381799)Instructions burned: 1472 (million)
% 102.59/14.84  % (381816)ott+11_1_sil=16000:gs=on:random_seed=1883848080:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2986 on theBenchmark for (2986ds/2251Mi)
% 102.59/14.84  % (381816)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 102.59/14.84  % (381798)Instruction limit reached! 
% 102.59/14.84  % (381798)------------------------------
% 102.59/14.84  % (381798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.59/14.84  % (381798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.59/14.84  % (381798)CaDiCaL version: 2.1.3
% 102.59/14.84  % (381798)Termination reason: Instruction limit
% 102.59/14.84  % (381798)Termination phase: Saturation
% 102.59/14.84  % (381798)Time elapsed: 1.373 s
% 102.59/14.84  % (381798)Peak memory usage: 19 MB
% 102.59/14.84  % (381798)Instructions burned: 5132 (million)
% 102.59/14.84  % (381819)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3663529545:fmbsr=1.6:i=67534_2981 on theBenchmark for (2981ds/67534Mi)
% 102.59/14.84  % Exception at run slice level
% 102.59/14.84  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 102.59/14.84  % (381821)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3018695310:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2981 on theBenchmark for (2981ds/4591Mi)
% 102.59/14.84  % (381816)Instruction limit reached! 
% 102.59/14.84  % (381816)------------------------------
% 102.59/14.84  % (381816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.59/14.84  % (381816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.59/14.84  % (381816)CaDiCaL version: 2.1.3
% 102.59/14.84  % (381816)Termination reason: Instruction limit
% 102.59/14.84  % (381816)Termination phase: Saturation
% 102.59/14.84  % (381816)Time elapsed: 0.989 s
% 102.59/14.84  % (381816)Peak memory usage: 16 MB
% 102.59/14.84  % (381816)Instructions burned: 2253 (million)
% 102.59/14.84  % (381823)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=4063444822:i=29340_2976 on theBenchmark for (2976ds/29340Mi)
% 102.59/14.84  % (381814)Instruction limit reached! 
% 102.59/14.84  % (381814)------------------------------
% 102.59/14.84  % (381814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.59/14.84  % (381814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.59/14.84  % (381814)CaDiCaL version: 2.1.3
% 102.59/14.84  % (381814)Termination reason: Instruction limit
% 102.59/14.84  % (381814)Termination phase: Saturation
% 102.59/14.84  % (381814)Time elapsed: 1.670 s
% 102.59/14.84  % (381814)Peak memory usage: 18 MB
% 102.59/14.84  % (381814)Instructions burned: 3775 (million)
% 102.59/14.84  % (381825)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3401961840:i=5211_2971 on theBenchmark for (2971ds/5211Mi)
% 102.59/14.84  % (381808)Instruction limit reached! 
% 102.59/14.84  % (381808)------------------------------
% 102.59/14.84  % (381808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.59/14.84  % (381808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.14/18.17  % (381808)CaDiCaL version: 2.1.3
% 126.14/18.17  % (381808)Termination reason: Instruction limit
% 126.14/18.17  % (381808)Termination phase: Saturation
% 126.14/18.17  % (381808)Time elapsed: 2.546 s
% 126.14/18.17  % (381808)Peak memory usage: 24 MB
% 126.14/18.17  % (381808)Instructions burned: 5116 (million)
% 126.14/18.17  % (381827)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1388397688:i=5497:nm=2_2967 on theBenchmark for (2967ds/5497Mi)
% 126.14/18.17  % Exception at run slice level
% 126.14/18.17  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 126.14/18.17  % (381829)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3012490940:fmbsr=2:i=46332_2967 on theBenchmark for (2967ds/46332Mi)
% 126.14/18.17  % Exception at run slice level
% 126.14/18.17  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 126.14/18.17  % (381831)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2189078984:i=14071_2966 on theBenchmark for (2966ds/14071Mi)
% 126.14/18.17  % Exception at run slice level
% 126.14/18.17  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 126.14/18.17  % (381833)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1529004986:i=22565:add=on:rawr=on_2966 on theBenchmark for (2966ds/22565Mi)
% 126.14/18.17  % (381821)Instruction limit reached! 
% 126.14/18.17  % (381821)------------------------------
% 126.14/18.17  % (381821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 126.14/18.17  % (381821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.14/18.17  % (381821)CaDiCaL version: 2.1.3
% 126.14/18.17  % (381821)Termination reason: Instruction limit
% 126.14/18.17  % (381821)Termination phase: Saturation
% 126.14/18.17  % (381821)Time elapsed: 1.801 s
% 126.14/18.17  % (381821)Peak memory usage: 19 MB
% 126.14/18.17  % (381821)Instructions burned: 4592 (million)
% 126.14/18.17  % (381812)Instruction limit reached! 
% 126.14/18.17  % (381812)------------------------------
% 126.14/18.17  % (381812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 126.14/18.17  % (381812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.14/18.17  % (381812)CaDiCaL version: 2.1.3
% 126.14/18.17  % (381812)Termination reason: Instruction limit
% 126.14/18.17  % (381812)Termination phase: Saturation
% 126.14/18.17  % (381812)Time elapsed: 2.550 s
% 126.14/18.17  % (381812)Peak memory usage: 18 MB
% 126.14/18.17  % (381812)Instructions burned: 3513 (million)
% 126.14/18.17  % (381836)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=502417847:i=8173:av=off_2963 on theBenchmark for (2963ds/8173Mi)
% 126.14/18.17  % (381837)dis+10_16:1_sil=16000:random_seed=2207419106:i=9155:fsr=off_2963 on theBenchmark for (2963ds/9155Mi)
% 126.14/18.17  % (381825)Instruction limit reached! 
% 126.14/18.17  % (381825)------------------------------
% 126.14/18.17  % (381825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 126.14/18.17  % (381825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.14/18.17  % (381825)CaDiCaL version: 2.1.3
% 126.14/18.17  % (381825)Termination reason: Instruction limit
% 126.14/18.17  % (381825)Termination phase: Saturation
% 126.14/18.17  % (381825)Time elapsed: 2.316 s
% 126.14/18.17  % (381825)Peak memory usage: 21 MB
% 126.14/18.17  % (381825)Instructions burned: 5212 (million)
% 126.14/18.17  % (381840)ott-3_8_sil=64000:random_seed=4215282553:i=20139:bs=on_2948 on theBenchmark for (2948ds/20139Mi)
% 126.14/18.17  % (381837)Instruction limit reached! 
% 126.14/18.17  % (381837)------------------------------
% 126.14/18.17  % (381837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 126.14/18.17  % (381837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.14/18.17  % (381837)CaDiCaL version: 2.1.3
% 126.14/18.17  % (381837)Termination reason: Instruction limit
% 126.14/18.17  % (381837)Termination phase: Saturation
% 126.14/18.17  % (381837)Time elapsed: 2.028 s
% 126.14/18.17  % (381837)Peak memory usage: 22 MB
% 126.14/18.17  % (381837)Instructions burned: 9159 (million)
% 126.14/18.17  % (381842)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3824066378:fmbsr=2:i=32576_2942 on theBenchmark for (2942ds/32576Mi)
% 126.14/18.17  % Exception at run slice level
% 126.14/18.17  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 126.14/18.17  % (381844)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=3938862327:i=11404_2942 on theBenchmark for (2942ds/11404Mi)
% 135.22/19.49  % (381844)Instruction limit reached! 
% 135.22/19.49  % (381844)------------------------------
% 135.22/19.49  % (381844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.22/19.49  % (381844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.22/19.49  % (381844)CaDiCaL version: 2.1.3
% 135.22/19.49  % (381844)Termination reason: Instruction limit
% 135.22/19.49  % (381844)Termination phase: Saturation
% 135.22/19.49  % (381844)Time elapsed: 2.654 s
% 135.22/19.49  % (381844)Peak memory usage: 40 MB
% 135.22/19.49  % (381844)Instructions burned: 11407 (million)
% 135.22/19.49  % (381846)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=886319104:i=14134_2916 on theBenchmark for (2916ds/14134Mi)
% 135.22/19.49  % (381846)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 135.22/19.49  % (381836)Instruction limit reached! 
% 135.22/19.49  % (381836)------------------------------
% 135.22/19.49  % (381836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.22/19.49  % (381836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.22/19.49  % (381836)CaDiCaL version: 2.1.3
% 135.22/19.49  % (381836)Termination reason: Instruction limit
% 135.22/19.49  % (381836)Termination phase: Saturation
% 135.22/19.49  % (381836)Time elapsed: 4.957 s
% 135.22/19.49  % (381836)Peak memory usage: 31 MB
% 135.22/19.49  % (381836)Instructions burned: 8174 (million)
% 135.22/19.49  % (381848)dis+33_16_sil=32000:sac=on:random_seed=1870616466:i=15851:nm=0_2913 on theBenchmark for (2913ds/15851Mi)
% 135.22/19.49  % (381846)Instruction limit reached! 
% 135.22/19.49  % (381846)------------------------------
% 135.22/19.49  % (381846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.22/19.49  % (381846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.22/19.49  % (381846)CaDiCaL version: 2.1.3
% 135.22/19.49  % (381846)Termination reason: Instruction limit
% 135.22/19.49  % (381846)Termination phase: Saturation
% 135.22/19.49  % (381846)Time elapsed: 3.254 s
% 135.22/19.49  % (381846)Peak memory usage: 44 MB
% 135.22/19.49  % (381846)Instructions burned: 14136 (million)
% 135.22/19.49  % (381850)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=3529062513:avsq=on:i=17627:add=on:amm=off_2883 on theBenchmark for (2883ds/17627Mi)
% 135.22/19.49  % (381833)Instruction limit reached! 
% 135.22/19.49  % (381833)------------------------------
% 135.22/19.49  % (381833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.22/19.49  % (381833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.22/19.49  % (381833)CaDiCaL version: 2.1.3
% 135.22/19.49  % (381833)Termination reason: Instruction limit
% 135.22/19.49  % (381833)Termination phase: Saturation
% 135.22/19.49  % (381833)Time elapsed: 9.820 s
% 135.22/19.49  % (381833)Peak memory usage: 51 MB
% 135.22/19.49  % (381833)Instructions burned: 22566 (million)
% 135.22/19.49  % (381852)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=335435340:s2a=on:i=53295_2868 on theBenchmark for (2868ds/53295Mi)
% 135.22/19.49  % (381840)Instruction limit reached! 
% 135.22/19.49  % (381840)------------------------------
% 135.22/19.49  % (381840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.22/19.49  % (381840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.22/19.49  % (381840)CaDiCaL version: 2.1.3
% 135.22/19.49  % (381840)Termination reason: Instruction limit
% 135.22/19.49  % (381840)Termination phase: Saturation
% 135.22/19.49  % (381840)Time elapsed: 8.124 s
% 135.22/19.49  % (381840)Peak memory usage: 34 MB
% 135.22/19.49  % (381840)Instructions burned: 20139 (million)
% 135.22/19.49  % (381854)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=3395713112:i=26857:ins=20_2866 on theBenchmark for (2866ds/26857Mi)
% 135.22/19.49  % Exception at run slice level
% 135.22/19.49  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 135.22/19.49  % (381856)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=3916968588:i=28120:bs=on:fsr=off_2866 on theBenchmark for (2866ds/28120Mi)
% 135.22/19.49  % (381823)Instruction limit reached! 
% 135.22/19.49  % (381823)------------------------------
% 135.22/19.49  % (381823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.22/19.49  % (381823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.22/19.49  % (381823)CaDiCaL version: 2.1.3
% 135.22/19.49  % (381823)Termination reason: Instruction limit
% 135.22/19.49  % (381823)Termination phase: Saturation
% 135.22/19.49  % (381823)Time elapsed: 12.274 s
% 135.22/19.49  % (381823)Peak memory usage: 40 MB
% 135.22/19.49  % (381823)Instructions burned: 29341 (million)
% 135.22/19.49  % (381858)fmb+10_1_sil=256000:fmbss=7:random_seed=1569150981:fmbsr=1.6:i=182295_2853 on theBenchmark for (2853ds/182295Mi)
% 135.22/19.49  % Exception at run slice level
% 135.22/19.49  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 135.22/19.49  % (381860)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=4036442075:i=44625:gsp=on_2853 on theBenchmark for (2853ds/44625Mi)
% 135.22/19.49  % (381860)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 135.22/19.49  % (381860)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 135.22/19.49  % Exception at run slice level
% 135.22/19.49  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 135.22/19.49  % (381862)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=2646821657:i=160505_2853 on theBenchmark for (2853ds/160505Mi)
% 135.22/19.49  % Exception at run slice level
% 135.22/19.49  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 135.22/19.49  % (381864)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=1966526852:fmbsr=1.3:i=225729_2853 on theBenchmark for (2853ds/225729Mi)
% 135.22/19.49  % Exception at run slice level
% 135.22/19.49  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 135.22/19.49  % (381866)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=2430048162:fmbsr=2:i=185024:ins=7_2852 on theBenchmark for (2852ds/185024Mi)
% 135.22/19.49  % Exception at run slice level
% 135.22/19.49  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 135.22/19.49  % (381868)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=2450505728:rtra=on_2852 on theBenchmark for (2852ds/0Mi)
% 135.22/19.49  % Exception at run slice level
% 135.22/19.49  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 135.22/19.49  % (381870)% WARNING: option uhcvi not known.
% 135.22/19.49  % (381870)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3024206953:i=271062:add=off:rtra=on:rawr=on_2852 on theBenchmark for (2852ds/271062Mi)
% 135.22/19.49  % (381870)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 135.22/19.49  % (381870)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 135.22/19.49  % (381850)Instruction limit reached! 
% 135.22/19.49  % (381850)------------------------------
% 135.22/19.49  % (381850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.22/19.49  % (381850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.22/19.49  % (381850)CaDiCaL version: 2.1.3
% 135.22/19.49  % (381850)Termination reason: Instruction limit
% 135.22/19.49  % (381850)Termination phase: Saturation
% 135.22/19.49  % (381850)Time elapsed: 3.993 s
% 135.22/19.49  % (381850)Peak memory usage: 39 MB
% 135.22/19.49  % (381850)Instructions burned: 17629 (million)
% 135.22/19.49  % (381872)dis+10_161_sil=256000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=638268631:i=176048:add=on:rtra=on:rawr=on_2843 on theBenchmark for (2843ds/176048Mi)
% 135.22/19.49  % (381848)Instruction limit reached! 
% 135.22/19.49  % (381848)------------------------------
% 135.22/19.49  % (381848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.22/19.49  % (381848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.22/19.49  % (381848)CaDiCaL version: 2.1.3
% 135.22/19.49  % (381848)Termination reason: Instruction limit
% 135.22/19.49  % (381848)Termination phase: Saturation
% 135.22/19.49  % (381848)Time elapsed: 9.163 s
% 135.22/19.49  % (381848)Peak memory usage: 29 MB
% 135.22/19.49  % (381848)Instructions burned: 15852 (million)
% 135.22/19.49  % (381875)dis+10_1_sil=32000:si=on:sp=arity:random_seed=2494462310:i=206:fgj=on:rtra=on_2821 on theBenchmark for (2821ds/206Mi)
% 135.22/19.49  % (381875)Instruction limit reached! 
% 135.22/19.49  % (381875)------------------------------
% 135.22/19.49  % (381875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.22/19.49  % (381875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.22/19.49  % (381875)CaDiCaL version: 2.1.3
% 135.22/19.49  % (381875)Termination reason: Instruction limit
% 135.22/19.49  % (381875)Termination phase: Saturation
% 135.22/19.49  % (381875)Time elapsed: 0.096 s
% 135.22/19.49  % (381875)Peak memory usage: 12 MB
% 135.22/19.49  % (381875)Instructions burned: 206 (million)
% 135.22/19.49  % (381877)ott+31_1_sil=16000:si=on:lcm=predicate:bce=on:newcnf=on:random_seed=2432133118:i=232:rtra=on_2820 on theBenchmark for (2820ds/232Mi)
% 135.22/19.49  % (381877)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 135.22/19.49  % (381877)Instruction limit reached! 
% 135.22/19.49  % (381877)------------------------------
% 135.22/19.49  % (381877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.22/19.49  % (381877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.22/19.49  % (381877)CaDiCaL version: 2.1.3
% 135.22/19.49  % (381877)Termination reason: Instruction limit
% 135.22/19.49  % (381877)Termination phase: Saturation
% 135.22/19.49  % (381877)Time elapsed: 0.168 s
% 135.22/19.49  % (381877)Peak memory usage: 13 MB
% 135.22/19.49  % (381877)Instructions burned: 233 (million)
% 135.22/19.49  % (381879)ott+1_1_to=lpo:sil=16000:si=on:sp=reverse_arity:erd=off:random_seed=3647385588:i=262:rtra=on_2818 on theBenchmark for (2818ds/262Mi)
% 135.22/19.49  % (381879)Instruction limit reached! 
% 135.22/19.49  % (381879)------------------------------
% 135.22/19.49  % (381879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.22/19.49  % (381879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.22/19.49  % (381879)CaDiCaL version: 2.1.3
% 135.22/19.49  % (381879)Termination reason: Instruction limit
% 135.22/19.49  % (381879)Termination phase: Saturation
% 135.22/19.49  % (381879)Time elapsed: 0.131 s
% 135.22/19.49  % (381879)Peak memory usage: 13 MB
% 135.22/19.49  % (381879)Instructions burned: 262 (million)
% 135.22/19.49  % (381881)ott-3_16_to=lpo:sil=16000:si=on:sp=arity:fd=off:rp=on:random_seed=1497379450:i=318:bs=unit_only:nicw=on:fsr=off:rtra=on:amm=off_2817 on theBenchmark for (2817ds/318Mi)
% 135.22/19.49  % (381881)Instruction limit reached! 
% 135.22/19.49  % (381881)------------------------------
% 135.22/19.49  % (381881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.22/19.49  % (381881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.22/19.49  % (381881)CaDiCaL version: 2.1.3
% 135.22/19.49  % (381881)Termination reason: Instruction limit
% 135.22/19.49  % (381881)Termination phase: Saturation
% 135.22/19.49  % (381881)Time elapsed: 0.183 s
% 135.22/19.49  % (381881)Peak memory usage: 13 MB
% 135.22/19.49  % (381881)Instructions burned: 318 (million)
% 135.22/19.49  % (381883)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:si=on:random_seed=1798931811:i=1428:nm=2:rtra=on_2815 on theBenchmark for (2815ds/1428Mi)
% 135.22/19.49  % Exception at run slice level
% 135.22/19.49  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 135.22/19.49  % (381885)ott+32_1_sil=16000:bsd=on:si=on:sp=const_max:bce=on:random_seed=505579327:i=262:bd=preordered:rtra=on:fsd=on_2814 on theBenchmark for (2814ds/262Mi)
% 135.22/19.49  % (381885)Instruction limit reached! 
% 135.22/19.49  % (381885)------------------------------
% 135.22/19.49  % (381885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.22/19.49  % (381885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.22/19.49  % (381885)CaDiCaL version: 2.1.3
% 135.22/19.49  % (381885)Termination reason: Instruction limit
% 135.22/19.49  % (381885)Termination phase: Saturation
% 135.22/19.49  % (381885)Time elapsed: 0.122 s
% 135.22/19.49  % (381885)Peak memory usage: 12 MB
% 135.22/19.50  % (381885)Instructions burned: 263 (million)
% 135.22/19.50  % (381887)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:si=on:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=333813314:i=1368:slsql=off:bs=unit_only:nicw=on:rtra=on:rawr=on_2813 on theBenchmark for (2813ds/1368Mi)
% 135.22/19.50  % (381887)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 135.22/19.50  % (381887)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 135.22/19.50  % (381759) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-381753-381759"...
% 135.22/19.50  % (381759)...printing done.
% 135.22/19.50  % (381759)Refutation found. Thanks to Tanya!
% 135.22/19.50  % SZS status Theorem for theBenchmark
% 135.22/19.50  % SZS output start Proof for theBenchmark
% See solution above
% 135.22/19.50  % (381759)------------------------------
% 135.22/19.50  % (381759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.22/19.50  % (381759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.22/19.50  % (381759)CaDiCaL version: 2.1.3
% 135.22/19.50  % (381759)Termination reason: Refutation
% 135.22/19.50  % (381759)Time elapsed: 19.212 s
% 135.22/19.50  % (381759)Peak memory usage: 52 MB
% 135.22/19.50  % (381759)Instructions burned: 44833 (million)
% 135.22/19.50  % (381753)Success in time 19.275 s
% 135.22/19.50  % Vampire exiting
%------------------------------------------------------------------------------