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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP010^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n012.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 08:10:03 AM UTC 2026

% Result   : Theorem 0.09s 0.16s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   52 (  15 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :  343 (  24   ~;   4   |;   0   &; 312   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   56 (  53 usr;  22 con; 0-4 aty)
%            Number of variables   :   20 (   0   ^;  16   !;   4   ?;  20   :)

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

thf(type_def_6,type,
    d: $tType ).

thf(type_def_7,type,
    du: $tType ).

thf(type_def_8,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    tyop_2Emin_2Ebool: d ).

thf(func_def_1,type,
    tyop_2Emin_2Efun: d > d > d ).

thf(func_def_2,type,
    s: d > u > du ).

thf(func_def_3,type,
    app_2E2: du > du > u ).

thf(func_def_4,type,
    combin_i_2E0: u ).

thf(func_def_5,type,
    combin_k_2E0: u ).

thf(func_def_6,type,
    combin_s_2E0: u ).

thf(func_def_7,type,
    c_2Ebool_2E_21_2E0: u ).

thf(func_def_8,type,
    c_2Ebool_2E_21_2E1: du > u ).

thf(func_def_9,type,
    c_2Ebool_2E_2F_5C_2E0: u ).

thf(func_def_10,type,
    c_2Ebool_2E_2F_5C_2E2: du > du > u ).

thf(func_def_11,type,
    c_2Emin_2E_3D_2E0: u ).

thf(func_def_12,type,
    c_2Emin_2E_3D_2E2: du > du > u ).

thf(func_def_13,type,
    c_2Emin_2E_3D_3D_3E_2E0: u ).

thf(func_def_14,type,
    c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).

thf(func_def_15,type,
    c_2Ebool_2E_3F_2E0: u ).

thf(func_def_16,type,
    c_2Ebool_2E_3F_2E1: du > u ).

thf(func_def_17,type,
    c_2Ebool_2EF_2E0: u ).

thf(func_def_18,type,
    c_2Ebool_2ET_2E0: u ).

thf(func_def_19,type,
    c_2Ebool_2E_5C_2F_2E0: u ).

thf(func_def_20,type,
    c_2Ebool_2E_5C_2F_2E2: du > du > u ).

thf(func_def_21,type,
    c_2Ecardinal_2Ecardleq_2E0: u ).

thf(func_def_22,type,
    c_2Ecardinal_2Ecardleq_2E2: du > du > u ).

thf(func_def_23,type,
    c_2Ebool_2E_7E_2E0: u ).

thf(func_def_24,type,
    c_2Ebool_2E_7E_2E1: du > u ).

thf(func_def_25,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).

thf(func_def_26,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).

thf(func_def_27,type,
    mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).

thf(func_def_28,type,
    mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).

thf(func_def_29,type,
    mono_2Ec_2Ebool_2EF: $o ).

thf(func_def_30,type,
    mono_2Ec_2Ebool_2ET: $o ).

thf(func_def_31,type,
    mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).

thf(func_def_32,type,
    mono_2Ec_2Ebool_2E_7E: $o > $o ).

thf(func_def_33,type,
    i_mono_2Etyop_2Emin_2Ebool: $o > u ).

thf(func_def_34,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).

thf(func_def_35,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).

thf(func_def_36,type,
    j_mono_2Etyop_2Emin_2Ebool: du > $o ).

thf(func_def_37,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).

thf(func_def_38,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).

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

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

thf(func_def_44,type,
    sP0: $o > $o > $o > $o ).

thf(func_def_45,type,
    sP1: $o > $o > $o > $o ).

thf(func_def_46,type,
    sP2: $o > $o > $o > $o ).

thf(func_def_47,type,
    sP3: $o > $o > $o > $o ).

thf(func_def_48,type,
    sK4: u > u > d > d > u ).

thf(func_def_49,type,
    sK5: u > d > u ).

thf(func_def_50,type,
    sK6: u > d > u ).

thf(func_def_51,type,
    sK7: d ).

thf(func_def_52,type,
    sK8: d ).

thf(func_def_53,type,
    sK9: u ).

thf(func_def_54,type,
    sK10: u ).

thf(f42,conjecture,
    ! [X0: d,X1: d,X2: u,X3: u] :
      ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
    <=> ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ecardinal_2ECARD__NOT__LE) ).

thf(f43,negated_conjecture,
    ~ ! [X0: d,X1: d,X2: u,X3: u] :
        ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
      <=> ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f42]) ).

thf(f90,plain,
    ~ ! [X0: d,X1: d,X2: u,X3: u] :
        ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
      <=> ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ),
    inference(rectify,[],[f43]) ).

thf(f91,plain,
    ~ ! [X0: d,X1: d,X2: u,X3: u] :
        ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) )
        = ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ) ),
    inference(fool_elimination,[],[f90]) ).

thf(f105,plain,
    ? [X0: d,X1: d,X2: u,X3: u] :
      ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) )
     != ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ) ),
    inference(ennf_transformation,[],[f91]) ).

thf(f149,plain,
    ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK7 @ tyop_2Emin_2Ebool ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK8 @ tyop_2Emin_2Ebool ) @ sK10 ) ) ) ) )
   != ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK7 @ tyop_2Emin_2Ebool ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK8 @ tyop_2Emin_2Ebool ) @ sK10 ) ) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9),skolemize(X3,sK10)],[f105]) ).

thf(f265,plain,
    ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK7 @ tyop_2Emin_2Ebool ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK8 @ tyop_2Emin_2Ebool ) @ sK10 ) ) ) ) )
   != ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK7 @ tyop_2Emin_2Ebool ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK8 @ tyop_2Emin_2Ebool ) @ sK10 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f149]) ).

thf(f326,plain,
    ( ( $true
      = ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK7 @ tyop_2Emin_2Ebool ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK8 @ tyop_2Emin_2Ebool ) @ sK10 ) ) ) ) ) )
    | ( $true
      = ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK7 @ tyop_2Emin_2Ebool ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK8 @ tyop_2Emin_2Ebool ) @ sK10 ) ) ) ) ) ) ),
    inference(xor_proxy_clausification,[],[f265]) ).

thf(f327,plain,
    ( ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK7 @ tyop_2Emin_2Ebool ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK8 @ tyop_2Emin_2Ebool ) @ sK10 ) ) ) ) )
      = $false )
    | ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK7 @ tyop_2Emin_2Ebool ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK8 @ tyop_2Emin_2Ebool ) @ sK10 ) ) ) ) )
      = $false ) ),
    inference(xor_proxy_clausification,[],[f265]) ).

thf(f328,plain,
    ( ( $true
      = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK7 @ tyop_2Emin_2Ebool ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK8 @ tyop_2Emin_2Ebool ) @ sK10 ) ) ) ) )
    | ( $true
      = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK7 @ tyop_2Emin_2Ebool ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK8 @ tyop_2Emin_2Ebool ) @ sK10 ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f327]) ).

thf(f329,plain,
    ( $true
    = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK7 @ tyop_2Emin_2Ebool ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK8 @ tyop_2Emin_2Ebool ) @ sK10 ) ) ) ) ),
    inference(duplicate_literal_removal,[],[f328]) ).

thf(f330,plain,
    ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK7 @ tyop_2Emin_2Ebool ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK8 @ tyop_2Emin_2Ebool ) @ sK10 ) ) ) )
      = $false )
    | ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK7 @ tyop_2Emin_2Ebool ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK8 @ tyop_2Emin_2Ebool ) @ sK10 ) ) ) )
      = $false ) ),
    inference(not_proxy_clausification,[],[f326]) ).

thf(f331,plain,
    ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK7 @ tyop_2Emin_2Ebool ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK8 @ tyop_2Emin_2Ebool ) @ sK10 ) ) ) )
    = $false ),
    inference(duplicate_literal_removal,[],[f330]) ).

thf(f521,plain,
    $true = $false,
    inference(constrained_superposition,[],[f329,f331]) ).

thf(f522,plain,
    $false,
    inference(trivial_inequality_removal,[],[f521]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : ITP010^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.10  % CPULimit : 300
% 0.00/0.10  % WCLimit  : 300
% 0.00/0.10  % DateTime : Tue Sep 29 19:25:18 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12  Running first-order model finding
% 0.09/0.12  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
% 0.09/0.16  % (561201)Will run a generic schedule for satisfiability detection.
% 0.09/0.16  % (561215)% WARNING: option uhcvi not known.
% 0.09/0.16  % (561216)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3887922552:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.16  % (561215)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2330897894:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.16  % (561214)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=691208916_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.16  % (561217)dis+10_1_sil=32000:sp=arity:random_seed=2375645006:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.16  % (561218)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3507140001:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.16  % (561219)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3874071883:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.16  % (561220)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2827989363:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.16  % (561215)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.16  % (561218)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.16  % Exception at run slice level
% 0.09/0.16  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.09/0.16  % (561215)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.09/0.16  % (561215) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-561201-561215"...
% 0.09/0.16  % (561217) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-561201-561217"...
% 0.09/0.16  % (561216) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-561201-561216"...
% 0.09/0.16  % (561220) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-561201-561220"...
% 0.09/0.16  % (561218) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-561201-561218"...
% 0.09/0.16  % (561215)...printing done.
% 0.09/0.16  % (561217)...printing done.
% 0.09/0.16  % (561216)...printing done.
% 0.09/0.16  % (561219) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-561201-561219"...
% 0.09/0.16  % (561215)Refutation found. Thanks to Tanya!
% 0.09/0.16  % SZS status Theorem for theBenchmark
% 0.09/0.16  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.17  % (561215)------------------------------
% 0.09/0.17  % (561215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.17  % (561215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.17  % (561215)CaDiCaL version: 2.1.3
% 0.09/0.17  % (561215)Termination reason: Refutation
% 0.09/0.17  % (561215)Time elapsed: 0.007 s
% 0.09/0.17  % (561215)Peak memory usage: 12 MB
% 0.09/0.17  % (561215)Instructions burned: 25 (million)
% 0.09/0.17  % (561201)Success in time 0.038 s
% 0.09/0.17  % Vampire exiting
%------------------------------------------------------------------------------