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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PUZ084^1 : 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 : n015.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 08:21:00 AM UTC 2026

% Result   : Theorem 0.10s 0.26s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   59 (  51 unt;   0 typ;   0 def)
%            Number of atoms       :  257 (  56 equ;   0 cnn)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :  335 (  34   ~;  28   |;   0   &; 249   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   2 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   95 (  95   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   54 (  50 usr;   4 con; 0-4 aty)
%                                         (  24  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  124 ( 110   ^;  14   !;   0   ?; 124   :)

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

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

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

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(f11,axiom,
    ( mforall_prop
    = ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
        ! [X2: $i > $o] : ( X0 @ X2 @ X1 ) ) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/LCL013^0.ax',mbox) ).

thf(f18,axiom,
    ( mreflexive
    = ( ^ [X0: $i > $i > $o] :
        ! [X1: $i] : ( X0 @ X1 @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mreflexive) ).

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

thf(f34,axiom,
    mreflexive @ ( wife @ peter ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_wife_peter) ).

thf(f38,conjecture,
    ( mvalid
    @ ( mforall_prop
      @ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ ( wife @ peter ) @ X0 ) @ X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

thf(f39,negated_conjecture,
    ~ ( mvalid
      @ ( mforall_prop
        @ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ ( wife @ peter ) @ X0 ) @ X0 ) ) ),
    inference(negated_conjecture,[status(cth)],[f38]) ).

thf(f42,plain,
    ( mnot
    = ( ^ [X0: $i > $o,X1: $i] :
          ~ ( X0 @ X1 ) ) ),
    inference(rectify,[],[f3]) ).

thf(f43,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f42]) ).

thf(f44,plain,
    ( mor
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X1 @ X2 )
          | ( X0 @ X2 ) ) ) ),
    inference(rectify,[],[f4]) ).

thf(f45,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          | ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f44]) ).

thf(f47,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f53,plain,
    ( mforall_prop
    = ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
        ! [X2: $i > $o] : ( X0 @ X2 @ X1 ) ) ),
    inference(rectify,[],[f11]) ).

thf(f54,plain,
    ( mforall_prop
    = ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
          ( !! @ ( $i > $o )
          @ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f53]) ).

thf(f60,plain,
    ( mbox
    = ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
        ! [X3: $i] :
          ( ( X1 @ X3 )
          | ~ ( X0 @ X2 @ X3 ) ) ) ),
    inference(rectify,[],[f16]) ).

thf(f61,plain,
    ( mbox
    = ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
          ( !! @ $i
          @ ^ [Y3: $i] :
              ( ~ ( Y0 @ Y2 @ Y3 )
              | ( Y1 @ Y3 ) ) ) ) ),
    inference(fool_elimination,[],[f60]) ).

thf(f63,plain,
    ( mreflexive
    = ( ^ [X0: $i > $i > $o] :
        ! [X1: $i] : ( X0 @ X1 @ X1 ) ) ),
    inference(rectify,[],[f18]) ).

thf(f64,plain,
    ( mreflexive
    = ( ^ [Y0: $i > $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f63]) ).

thf(f83,plain,
    ( mvalid
    = ( ^ [X0: $i > $o] :
        ! [X1: $i] : ( X0 @ X1 ) ) ),
    inference(rectify,[],[f28]) ).

thf(f84,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f83]) ).

thf(f95,plain,
    mreflexive @ ( wife @ peter ),
    inference(rectify,[],[f34]) ).

thf(f96,plain,
    ( ( mreflexive @ ( wife @ peter ) )
    = $true ),
    inference(fool_elimination,[],[f95]) ).

thf(f103,plain,
    ~ ( mvalid
      @ ( mforall_prop
        @ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ ( wife @ peter ) @ X0 ) @ X0 ) ) ),
    inference(rectify,[],[f39]) ).

thf(f104,plain,
    ( $true
   != ( mvalid
      @ ( mforall_prop
        @ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ ( wife @ peter ) @ Y0 ) @ Y0 ) ) ) ),
    inference(fool_elimination,[],[f103]) ).

thf(f105,plain,
    ( $true
   != ( mvalid
      @ ( mforall_prop
        @ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ ( wife @ peter ) @ Y0 ) @ Y0 ) ) ) ),
    inference(flattening,[],[f104]) ).

thf(f108,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f43]) ).

thf(f109,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          | ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f45]) ).

thf(f111,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(cnf_transformation,[],[f47]) ).

thf(f116,plain,
    ( mforall_prop
    = ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
          ( !! @ ( $i > $o )
          @ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f54]) ).

thf(f121,plain,
    ( mbox
    = ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
          ( !! @ $i
          @ ^ [Y3: $i] :
              ( ~ ( Y0 @ Y2 @ Y3 )
              | ( Y1 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f61]) ).

thf(f123,plain,
    ( mreflexive
    = ( ^ [Y0: $i > $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f64]) ).

thf(f133,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f84]) ).

thf(f139,plain,
    ( ( mreflexive @ ( wife @ peter ) )
    = $true ),
    inference(cnf_transformation,[],[f96]) ).

thf(f143,plain,
    ( $true
   != ( mvalid
      @ ( mforall_prop
        @ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ ( wife @ peter ) @ Y0 ) @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f105]) ).

thf(f147,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,[],[f111,f109,f108]) ).

thf(f157,plain,
    ( $true
    = ( ^ [Y0: $i > $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
      @ ( wife @ peter ) ) ),
    inference(definition_unfolding,[],[f139,f123]) ).

thf(f161,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] :
                  ( !! @ $i
                  @ ^ [Y4: $i] :
                      ( ~ ( Y1 @ Y3 @ Y4 )
                      | ( Y2 @ Y4 ) ) )
              @ ( wife @ peter )
              @ Y0 )
            @ Y0 ) ) ) ),
    inference(definition_unfolding,[],[f143,f133,f116,f147,f121]) ).

thf(f162,plain,
    ( $true
   != ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ ( $i > $o )
          @ ^ [Y1: $i > $o] :
              ( ~ ( !! @ $i
                  @ ^ [Y2: $i] :
                      ( ~ ( wife @ peter @ Y0 @ Y2 )
                      | ( Y1 @ Y2 ) ) )
              | ( Y1 @ Y0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f161]) ).

thf(f163,plain,
    ( $false
    = ( ^ [Y0: $i] :
          ( !! @ ( $i > $o )
          @ ^ [Y1: $i > $o] :
              ( ~ ( !! @ $i
                  @ ^ [Y2: $i] :
                      ( ~ ( wife @ peter @ Y0 @ Y2 )
                      | ( Y1 @ Y2 ) ) )
              | ( Y1 @ Y0 ) ) )
      @ sK0 ) ),
    inference(sigma_proxy_clausification,[],[f162]) ).

thf(f164,plain,
    ( $false
    = ( !! @ ( $i > $o )
      @ ^ [Y0: $i > $o] :
          ( ~ ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( wife @ peter @ sK0 @ Y1 )
                  | ( Y0 @ Y1 ) ) )
          | ( Y0 @ sK0 ) ) ) ),
    inference(beta-eta_normalization,[],[f163]) ).

thf(f165,plain,
    ( $false
    = ( ^ [Y0: $i > $o] :
          ( ~ ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( wife @ peter @ sK0 @ Y1 )
                  | ( Y0 @ Y1 ) ) )
          | ( Y0 @ sK0 ) )
      @ sK1 ) ),
    inference(sigma_proxy_clausification,[],[f164]) ).

thf(f166,plain,
    ( $false
    = ( ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( wife @ peter @ sK0 @ Y0 )
              | ( sK1 @ Y0 ) ) )
      | ( sK1 @ sK0 ) ) ),
    inference(beta-eta_normalization,[],[f165]) ).

thf(f167,plain,
    ( $false
    = ( sK1 @ sK0 ) ),
    inference(or_proxy_clausification,[],[f166]) ).

thf(f168,plain,
    ( $false
    = ( ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( wife @ peter @ sK0 @ Y0 )
              | ( sK1 @ Y0 ) ) ) ) ),
    inference(or_proxy_clausification,[],[f166]) ).

thf(f169,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( ~ ( wife @ peter @ sK0 @ Y0 )
          | ( sK1 @ Y0 ) ) ) ),
    inference(not_proxy_clausification,[],[f168]) ).

thf(f170,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( ~ ( wife @ peter @ sK0 @ Y0 )
            | ( sK1 @ Y0 ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f169]) ).

thf(f171,plain,
    ! [X1: $i] :
      ( $true
      = ( ~ ( wife @ peter @ sK0 @ X1 )
        | ( sK1 @ X1 ) ) ),
    inference(beta-eta_normalization,[],[f170]) ).

thf(f172,plain,
    ! [X1: $i] :
      ( ( $true
        = ( sK1 @ X1 ) )
      | ( $true
        = ( ~ ( wife @ peter @ sK0 @ X1 ) ) ) ),
    inference(or_proxy_clausification,[],[f171]) ).

thf(f173,plain,
    ! [X1: $i] :
      ( ( $true
        = ( sK1 @ X1 ) )
      | ( $false
        = ( wife @ peter @ sK0 @ X1 ) ) ),
    inference(not_proxy_clausification,[],[f172]) ).

thf(f201,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] : ( wife @ peter @ Y0 @ Y0 ) ) ),
    inference(beta-eta_normalization,[],[f157]) ).

thf(f202,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] : ( wife @ peter @ Y0 @ Y0 )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f201]) ).

thf(f203,plain,
    ! [X1: $i] :
      ( $true
      = ( wife @ peter @ X1 @ X1 ) ),
    inference(beta-eta_normalization,[],[f202]) ).

thf(f211,plain,
    ( ( $true = $false )
    | ( $false
      = ( wife @ peter @ sK0 @ sK0 ) ) ),
    inference(constrained_superposition,[],[f167,f173]) ).

thf(f212,plain,
    ( $false
    = ( wife @ peter @ sK0 @ sK0 ) ),
    inference(trivial_inequality_removal,[],[f211]) ).

thf(f214,plain,
    $true = $false,
    inference(forward_demodulation,[],[f212,f203]) ).

thf(f215,plain,
    $false,
    inference(trivial_inequality_removal,[],[f214]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ084^1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19  % Computer : n015.cluster.edu
% 0.10/0.19  % Model    : x86_64 x86_64
% 0.10/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19  % Memory   : 8046.5625MB
% 0.10/0.19  % OS       : Linux 6.8.0-71-generic
% 0.10/0.19  % CPULimit : 300
% 0.10/0.19  % WCLimit  : 300
% 0.10/0.19  % DateTime : Tue Sep 29 13:25:18 UTC 2026
% 0.10/0.20  % CPUTime  : 
% 0.10/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23  Running first-order model finding
% 0.10/0.23  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
% 0.10/0.26  % (3504202)Will run a generic schedule for satisfiability detection.
% 0.10/0.26  % (3504214)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=370866350:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.26  % (3504214) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3504202-3504214"...
% 0.10/0.26  % (3504214)...printing done.
% 0.10/0.26  % (3504210)% WARNING: option uhcvi not known.
% 0.10/0.26  % (3504214)Refutation found. Thanks to Tanya!
% 0.10/0.26  % SZS status Theorem for theBenchmark
% 0.10/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.26  % (3504214)------------------------------
% 0.10/0.26  % (3504214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.26  % (3504214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.26  % (3504214)CaDiCaL version: 2.1.3
% 0.10/0.26  % (3504214)Termination reason: Refutation
% 0.10/0.26  % (3504214)Time elapsed: 0.004 s
% 0.10/0.26  % (3504214)Peak memory usage: 12 MB
% 0.10/0.26  % (3504214)Instructions burned: 13 (million)
% 0.10/0.26  % (3504202)Success in time 0.021 s
% 0.10/0.26  % Vampire exiting
%------------------------------------------------------------------------------