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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYO481^6 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n017.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 08:50:17 AM UTC 2026

% Result   : Theorem 0.22s 0.27s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   52 (  49 unt;   0 typ;   0 def)
%            Number of atoms       :  235 (  75 equ;   0 cnn)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :  343 (  59   ~;  28   |;   0   &; 229   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   2 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   52 (  52   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   56 (  52 usr;   7 con; 0-4 aty)
%                                         (  27  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  137 ( 131   ^;   6   !;   0   ?; 137   :)

% 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,
    rel_s5: $i > $i > $o ).

thf(func_def_33,type,
    mbox_s5: ( $i > $o ) > $i > $o ).

thf(func_def_34,type,
    mdia_s5: ( $i > $o ) > $i > $o ).

thf(func_def_35,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_36,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_37,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_38,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_39,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_40,type,
    vNOT: $o > $o ).

thf(func_def_41,type,
    vOR: $o > $o > $o ).

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

thf(func_def_45,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_46,type,
    vIMP: $o > $o > $o ).

thf(func_def_47,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_48,type,
    vAND: $o > $o > $o ).

thf(func_def_49,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_51,type,
    sK1: mu ).

thf(func_def_52,type,
    sK2: mu ).

thf(f1,axiom,
    ( meq_ind
    = ( ^ [X0: mu,X1: mu,X2: $i] : ( X0 = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',meq_ind) ).

thf(f3,axiom,
    ( mnot
    = ( ^ [X0: $i > $o,X1: $i] :
          ~ ( X0 @ X1 ) ) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/LCL013^0.ax',mor) ).

thf(f6,axiom,
    ( mimplies
    = ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mimplies) ).

thf(f10,axiom,
    ( mforall_ind
    = ( ^ [X0: mu > $i > $o,X1: $i] :
        ! [X2: mu] : ( X0 @ X2 @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mforall_ind) ).

thf(f28,axiom,
    ( mvalid
    = ( ^ [X0: $i > $o] :
        ! [X1: $i] : ( X0 @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mvalid) ).

thf(f32,axiom,
    ( mbox_s5
    = ( ^ [X0: $i > $o,X1: $i] :
        ! [X2: $i] :
          ( ( X0 @ X2 )
          | ~ ( rel_s5 @ X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^6.ax',mbox_s5) ).

thf(f37,conjecture,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X0: mu] :
          ( mforall_ind
          @ ^ [X1: mu] : ( mimplies @ ( mnot @ ( meq_ind @ X0 @ X1 ) ) @ ( mbox_s5 @ ( mnot @ ( meq_ind @ X0 @ X1 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

thf(f38,negated_conjecture,
    ~ ( mvalid
      @ ( mforall_ind
        @ ^ [X0: mu] :
            ( mforall_ind
            @ ^ [X1: mu] : ( mimplies @ ( mnot @ ( meq_ind @ X0 @ X1 ) ) @ ( mbox_s5 @ ( mnot @ ( meq_ind @ X0 @ X1 ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f37]) ).

thf(f39,plain,
    ( meq_ind
    = ( ^ [Y0: mu,Y1: mu,Y2: $i] : ( Y0 = Y1 ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f41,plain,
    ( mnot
    = ( ^ [X0: $i > $o,X1: $i] :
          ~ ( X0 @ X1 ) ) ),
    inference(rectify,[],[f3]) ).

thf(f42,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f41]) ).

thf(f43,plain,
    ( mor
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X1 @ X2 )
          | ( X0 @ X2 ) ) ) ),
    inference(rectify,[],[f4]) ).

thf(f44,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          | ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f43]) ).

thf(f46,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f50,plain,
    ( mforall_ind
    = ( ^ [X0: mu > $i > $o,X1: $i] :
        ! [X2: mu] : ( X0 @ X2 @ X1 ) ) ),
    inference(rectify,[],[f10]) ).

thf(f51,plain,
    ( mforall_ind
    = ( ^ [Y0: mu > $i > $o,Y1: $i] :
          ( !! @ mu
          @ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f50]) ).

thf(f82,plain,
    ( mvalid
    = ( ^ [X0: $i > $o] :
        ! [X1: $i] : ( X0 @ X1 ) ) ),
    inference(rectify,[],[f28]) ).

thf(f83,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f82]) ).

thf(f90,plain,
    ( mbox_s5
    = ( ^ [X0: $i > $o,X1: $i] :
        ! [X2: $i] :
          ( ( X0 @ X2 )
          | ~ ( rel_s5 @ X1 @ X2 ) ) ) ),
    inference(rectify,[],[f32]) ).

thf(f91,plain,
    ( mbox_s5
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ( !! @ $i
          @ ^ [Y2: $i] :
              ( ~ ( rel_s5 @ Y1 @ Y2 )
              | ( Y0 @ Y2 ) ) ) ) ),
    inference(fool_elimination,[],[f90]) ).

thf(f99,plain,
    ~ ( mvalid
      @ ( mforall_ind
        @ ^ [X0: mu] :
            ( mforall_ind
            @ ^ [X1: mu] : ( mimplies @ ( mnot @ ( meq_ind @ X0 @ X1 ) ) @ ( mbox_s5 @ ( mnot @ ( meq_ind @ X0 @ X1 ) ) ) ) ) ) ),
    inference(rectify,[],[f38]) ).

thf(f100,plain,
    ( $true
   != ( mvalid
      @ ( mforall_ind
        @ ^ [Y0: mu] :
            ( mforall_ind
            @ ^ [Y1: mu] : ( mimplies @ ( mnot @ ( meq_ind @ Y0 @ Y1 ) ) @ ( mbox_s5 @ ( mnot @ ( meq_ind @ Y0 @ Y1 ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f99]) ).

thf(f101,plain,
    ( $true
   != ( mvalid
      @ ( mforall_ind
        @ ^ [Y0: mu] :
            ( mforall_ind
            @ ^ [Y1: mu] : ( mimplies @ ( mnot @ ( meq_ind @ Y0 @ Y1 ) ) @ ( mbox_s5 @ ( mnot @ ( meq_ind @ Y0 @ Y1 ) ) ) ) ) ) ) ),
    inference(flattening,[],[f100]) ).

thf(f102,plain,
    ( meq_ind
    = ( ^ [Y0: mu,Y1: mu,Y2: $i] : ( Y0 = Y1 ) ) ),
    inference(cnf_transformation,[],[f39]) ).

thf(f104,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f42]) ).

thf(f105,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          | ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f44]) ).

thf(f107,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(cnf_transformation,[],[f46]) ).

thf(f111,plain,
    ( mforall_ind
    = ( ^ [Y0: mu > $i > $o,Y1: $i] :
          ( !! @ mu
          @ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f51]) ).

thf(f129,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f83]) ).

thf(f133,plain,
    ( mbox_s5
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ( !! @ $i
          @ ^ [Y2: $i] :
              ( ~ ( rel_s5 @ Y1 @ Y2 )
              | ( Y0 @ Y2 ) ) ) ) ),
    inference(cnf_transformation,[],[f91]) ).

thf(f138,plain,
    ( $true
   != ( mvalid
      @ ( mforall_ind
        @ ^ [Y0: mu] :
            ( mforall_ind
            @ ^ [Y1: mu] : ( mimplies @ ( mnot @ ( meq_ind @ Y0 @ Y1 ) ) @ ( mbox_s5 @ ( mnot @ ( meq_ind @ Y0 @ Y1 ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f101]) ).

thf(f142,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,[],[f107,f105,f104]) ).

thf(f154,plain,
    ( $true
   != ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) )
      @ ( ^ [Y0: mu > $i > $o,Y1: $i] :
            ( !! @ mu
            @ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) )
        @ ^ [Y0: mu] :
            ( ^ [Y1: mu > $i > $o,Y2: $i] :
                ( !! @ mu
                @ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
            @ ^ [Y1: mu] :
                ( ^ [Y2: $i > $o,Y3: $i > $o] :
                    ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
                        ( ( Y4 @ Y6 )
                        | ( Y5 @ Y6 ) )
                    @ ( ^ [Y4: $i > $o,Y5: $i] :
                          ~ ( Y4 @ Y5 )
                      @ Y2 )
                    @ Y3 )
                @ ( ^ [Y2: $i > $o,Y3: $i] :
                      ~ ( Y2 @ Y3 )
                  @ ( ^ [Y2: mu,Y3: mu,Y4: $i] : ( Y2 = Y3 )
                    @ Y0
                    @ Y1 ) )
                @ ( ^ [Y2: $i > $o,Y3: $i] :
                      ( !! @ $i
                      @ ^ [Y4: $i] :
                          ( ~ ( rel_s5 @ Y3 @ Y4 )
                          | ( Y2 @ Y4 ) ) )
                  @ ( ^ [Y2: $i > $o,Y3: $i] :
                        ~ ( Y2 @ Y3 )
                    @ ( ^ [Y2: mu,Y3: mu,Y4: $i] : ( Y2 = Y3 )
                      @ Y0
                      @ Y1 ) ) ) ) ) ) ) ),
    inference(definition_unfolding,[],[f138,f129,f111,f111,f142,f104,f102,f133,f104,f102]) ).

thf(f155,plain,
    ( $true
   != ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ mu
          @ ^ [Y1: mu] :
              ( !! @ mu
              @ ^ [Y2: mu] :
                  ( ~ ( ( Y1 != Y2 ) )
                  | ( !! @ $i
                    @ ^ [Y3: $i] :
                        ( ~ ( rel_s5 @ Y0 @ Y3 )
                        | ( Y1 != Y2 ) ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f154]) ).

thf(f156,plain,
    ( $false
    = ( ^ [Y0: $i] :
          ( !! @ mu
          @ ^ [Y1: mu] :
              ( !! @ mu
              @ ^ [Y2: mu] :
                  ( ~ ( ( Y1 != Y2 ) )
                  | ( !! @ $i
                    @ ^ [Y3: $i] :
                        ( ~ ( rel_s5 @ Y0 @ Y3 )
                        | ( Y1 != Y2 ) ) ) ) ) )
      @ sK0 ) ),
    inference(sigma_proxy_clausification,[],[f155]) ).

thf(f157,plain,
    ( $false
    = ( !! @ mu
      @ ^ [Y0: mu] :
          ( !! @ mu
          @ ^ [Y1: mu] :
              ( ~ ( ( Y0 != Y1 ) )
              | ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ~ ( rel_s5 @ sK0 @ Y2 )
                    | ( Y0 != Y1 ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f156]) ).

thf(f158,plain,
    ( $false
    = ( ^ [Y0: mu] :
          ( !! @ mu
          @ ^ [Y1: mu] :
              ( ~ ( ( Y0 != Y1 ) )
              | ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ~ ( rel_s5 @ sK0 @ Y2 )
                    | ( Y0 != Y1 ) ) ) ) )
      @ sK1 ) ),
    inference(sigma_proxy_clausification,[],[f157]) ).

thf(f159,plain,
    ( $false
    = ( !! @ mu
      @ ^ [Y0: mu] :
          ( ~ ( ( sK1 != Y0 ) )
          | ( !! @ $i
            @ ^ [Y1: $i] :
                ( ~ ( rel_s5 @ sK0 @ Y1 )
                | ( sK1 != Y0 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f158]) ).

thf(f160,plain,
    ( $false
    = ( ^ [Y0: mu] :
          ( ~ ( ( sK1 != Y0 ) )
          | ( !! @ $i
            @ ^ [Y1: $i] :
                ( ~ ( rel_s5 @ sK0 @ Y1 )
                | ( sK1 != Y0 ) ) ) )
      @ sK2 ) ),
    inference(sigma_proxy_clausification,[],[f159]) ).

thf(f161,plain,
    ( $false
    = ( ~ ( ( sK1 != sK2 ) )
      | ( !! @ $i
        @ ^ [Y0: $i] :
            ( ~ ( rel_s5 @ sK0 @ Y0 )
            | ( sK1 != sK2 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f160]) ).

thf(f162,plain,
    ( $false
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( ~ ( rel_s5 @ sK0 @ Y0 )
          | ( sK1 != sK2 ) ) ) ),
    inference(or_proxy_clausification,[],[f161]) ).

thf(f163,plain,
    ( $false
    = ( ~ ( ( sK1 != sK2 ) ) ) ),
    inference(or_proxy_clausification,[],[f161]) ).

thf(f164,plain,
    ( $true
    = ( sK1 != sK2 ) ),
    inference(not_proxy_clausification,[],[f163]) ).

thf(f165,plain,
    ( $false
    = ( sK1 = sK2 ) ),
    inference(not_proxy_clausification,[],[f164]) ).

thf(f166,plain,
    sK1 != sK2,
    inference(equality_proxy_clausification,[],[f165]) ).

thf(f167,plain,
    ( $false
    = ( ^ [Y0: $i] :
          ( ~ ( rel_s5 @ sK0 @ Y0 )
          | ( sK1 != sK2 ) )
      @ sK3 ) ),
    inference(sigma_proxy_clausification,[],[f162]) ).

thf(f168,plain,
    ( $false
    = ( ~ ( rel_s5 @ sK0 @ sK3 )
      | ( sK1 != sK2 ) ) ),
    inference(beta-eta_normalization,[],[f167]) ).

thf(f169,plain,
    ( $false
    = ( sK1 != sK2 ) ),
    inference(or_proxy_clausification,[],[f168]) ).

thf(f172,plain,
    ( $true
    = ( sK1 = sK2 ) ),
    inference(not_proxy_clausification,[],[f169]) ).

thf(f173,plain,
    sK1 = sK2,
    inference(equality_proxy_clausification,[],[f172]) ).

thf(f192,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f173,f166]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO481^6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n017.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Tue Sep 29 17:04:23 UTC 2026
% 0.09/0.21  % CPUTime  : 
% 0.09/0.21  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24  Running first-order model finding
% 0.09/0.24  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.27  % (616594)Will run a generic schedule for satisfiability detection.
% 0.22/0.27  % (616609)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2784685103:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.27  % (616609)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.22/0.27  % (616606)% WARNING: option uhcvi not known.
% 0.22/0.27  % (616609) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-616594-616609"...
% 0.22/0.27  % (616609)...printing done.
% 0.22/0.27  % (616609)Refutation found. Thanks to Tanya!
% 0.22/0.27  % SZS status Theorem for theBenchmark
% 0.22/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.27  % (616609)------------------------------
% 0.22/0.27  % (616609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.27  % (616609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.27  % (616609)CaDiCaL version: 2.1.3
% 0.22/0.27  % (616609)Termination reason: Refutation
% 0.22/0.27  % (616609)Time elapsed: 0.004 s
% 0.22/0.27  % (616609)Peak memory usage: 11 MB
% 0.22/0.27  % (616609)Instructions burned: 12 (million)
% 0.22/0.27  % (616594)Success in time 0.022 s
% 0.22/0.27  % Vampire exiting
%------------------------------------------------------------------------------