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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LCL722^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/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 08:15:08 AM UTC 2026

% Result   : Theorem 0.07s 0.18s
% Output   : Refutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   53 (  45 unt;   0 typ;   0 def)
%            Number of atoms       :  210 (  50 equ;   0 cnn)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :  240 (  30   ~;  24   |;   0   &; 170   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   48 (  48   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   54 (  50 usr;   4 con; 0-4 aty)
%                                         (  16  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   91 (  79   ^;  12   !;   0   ?;  91   :)

% 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_m: $i > $i > $o ).

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

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

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

thf(func_def_36,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_37,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_38,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_39,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_40,type,
    db0: 
      !>[X0: $tType] : X0 ).

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

thf(func_def_42,type,
    vOR: $o > $o > $o ).

thf(func_def_43,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_46,type,
    db3: 
      !>[X0: $tType] : X0 ).

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

thf(func_def_48,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_49,type,
    vAND: $o > $o > $o ).

thf(func_def_50,type,
    db4: 
      !>[X0: $tType] : X0 ).

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(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(f32,axiom,
    ( mbox_m
    = ( ^ [X0: $i > $o,X1: $i] :
        ! [X2: $i] :
          ( ( X0 @ X2 )
          | ~ ( rel_m @ X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^3.ax',mbox_m) ).

thf(f34,axiom,
    mreflexive @ rel_m,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^3.ax',a1) ).

thf(f35,conjecture,
    mvalid @ ( mimplies @ ( mbox_m @ phi ) @ phi ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

thf(f36,negated_conjecture,
    ~ ( mvalid @ ( mimplies @ ( mbox_m @ phi ) @ phi ) ),
    inference(negated_conjecture,[status(cth)],[f35]) ).

thf(f39,plain,
    ( mnot
    = ( ^ [X0: $i > $o,X1: $i] :
          ~ ( X0 @ X1 ) ) ),
    inference(rectify,[],[f3]) ).

thf(f40,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f39]) ).

thf(f41,plain,
    ( mor
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X1 @ X2 )
          | ( X0 @ X2 ) ) ) ),
    inference(rectify,[],[f4]) ).

thf(f42,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          | ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f41]) ).

thf(f44,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f60,plain,
    ( mreflexive
    = ( ^ [X0: $i > $i > $o] :
        ! [X1: $i] : ( X0 @ X1 @ X1 ) ) ),
    inference(rectify,[],[f18]) ).

thf(f61,plain,
    ( mreflexive
    = ( ^ [Y0: $i > $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f60]) ).

thf(f80,plain,
    ( mvalid
    = ( ^ [X0: $i > $o] :
        ! [X1: $i] : ( X0 @ X1 ) ) ),
    inference(rectify,[],[f28]) ).

thf(f81,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f80]) ).

thf(f88,plain,
    ( mbox_m
    = ( ^ [X0: $i > $o,X1: $i] :
        ! [X2: $i] :
          ( ( X0 @ X2 )
          | ~ ( rel_m @ X1 @ X2 ) ) ) ),
    inference(rectify,[],[f32]) ).

thf(f89,plain,
    ( mbox_m
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ( !! @ $i
          @ ^ [Y2: $i] :
              ( ~ ( rel_m @ Y1 @ Y2 )
              | ( Y0 @ Y2 ) ) ) ) ),
    inference(fool_elimination,[],[f88]) ).

thf(f91,plain,
    mreflexive @ rel_m,
    inference(rectify,[],[f34]) ).

thf(f92,plain,
    ( ( mreflexive @ rel_m )
    = $true ),
    inference(fool_elimination,[],[f91]) ).

thf(f93,plain,
    ~ ( mvalid @ ( mimplies @ ( mbox_m @ phi ) @ phi ) ),
    inference(rectify,[],[f36]) ).

thf(f94,plain,
    ( ( mvalid @ ( mimplies @ ( mbox_m @ phi ) @ phi ) )
   != $true ),
    inference(fool_elimination,[],[f93]) ).

thf(f95,plain,
    ( ( mvalid @ ( mimplies @ ( mbox_m @ phi ) @ phi ) )
   != $true ),
    inference(flattening,[],[f94]) ).

thf(f98,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f40]) ).

thf(f99,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          | ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f42]) ).

thf(f101,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(cnf_transformation,[],[f44]) ).

thf(f113,plain,
    ( mreflexive
    = ( ^ [Y0: $i > $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f61]) ).

thf(f123,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f81]) ).

thf(f127,plain,
    ( mbox_m
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ( !! @ $i
          @ ^ [Y2: $i] :
              ( ~ ( rel_m @ Y1 @ Y2 )
              | ( Y0 @ Y2 ) ) ) ) ),
    inference(cnf_transformation,[],[f89]) ).

thf(f129,plain,
    ( ( mreflexive @ rel_m )
    = $true ),
    inference(cnf_transformation,[],[f92]) ).

thf(f130,plain,
    ( ( mvalid @ ( mimplies @ ( mbox_m @ phi ) @ phi ) )
   != $true ),
    inference(cnf_transformation,[],[f95]) ).

thf(f134,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,[],[f101,f99,f98]) ).

thf(f143,plain,
    ( $true
    = ( ^ [Y0: $i > $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
      @ rel_m ) ),
    inference(definition_unfolding,[],[f129,f113]) ).

thf(f144,plain,
    ( $true
   != ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) )
      @ ( ^ [Y0: $i > $o,Y1: $i > $o] :
            ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
                ( ( Y2 @ Y4 )
                | ( Y3 @ Y4 ) )
            @ ( ^ [Y2: $i > $o,Y3: $i] :
                  ~ ( Y2 @ Y3 )
              @ Y0 )
            @ Y1 )
        @ ( ^ [Y0: $i > $o,Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ~ ( rel_m @ Y1 @ Y2 )
                  | ( Y0 @ Y2 ) ) )
          @ phi )
        @ phi ) ) ),
    inference(definition_unfolding,[],[f130,f123,f134,f127]) ).

thf(f145,plain,
    ( $true
   != ( !! @ $i
      @ ^ [Y0: $i] :
          ( ~ ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( rel_m @ Y0 @ Y1 )
                  | ( phi @ Y1 ) ) )
          | ( phi @ Y0 ) ) ) ),
    inference(beta-eta_normalization,[],[f144]) ).

thf(f146,plain,
    ( $false
    = ( ^ [Y0: $i] :
          ( ~ ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( rel_m @ Y0 @ Y1 )
                  | ( phi @ Y1 ) ) )
          | ( phi @ Y0 ) )
      @ sK0 ) ),
    inference(sigma_proxy_clausification,[],[f145]) ).

thf(f147,plain,
    ( $false
    = ( ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( rel_m @ sK0 @ Y0 )
              | ( phi @ Y0 ) ) )
      | ( phi @ sK0 ) ) ),
    inference(beta-eta_normalization,[],[f146]) ).

thf(f148,plain,
    ( $false
    = ( phi @ sK0 ) ),
    inference(or_proxy_clausification,[],[f147]) ).

thf(f149,plain,
    ( $false
    = ( ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( rel_m @ sK0 @ Y0 )
              | ( phi @ Y0 ) ) ) ) ),
    inference(or_proxy_clausification,[],[f147]) ).

thf(f150,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( ~ ( rel_m @ sK0 @ Y0 )
          | ( phi @ Y0 ) ) ) ),
    inference(not_proxy_clausification,[],[f149]) ).

thf(f151,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( ~ ( rel_m @ sK0 @ Y0 )
            | ( phi @ Y0 ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f150]) ).

thf(f152,plain,
    ! [X1: $i] :
      ( $true
      = ( ~ ( rel_m @ sK0 @ X1 )
        | ( phi @ X1 ) ) ),
    inference(beta-eta_normalization,[],[f151]) ).

thf(f153,plain,
    ! [X1: $i] :
      ( ( $true
        = ( phi @ X1 ) )
      | ( $true
        = ( ~ ( rel_m @ sK0 @ X1 ) ) ) ),
    inference(or_proxy_clausification,[],[f152]) ).

thf(f154,plain,
    ! [X1: $i] :
      ( ( $false
        = ( rel_m @ sK0 @ X1 ) )
      | ( $true
        = ( phi @ X1 ) ) ),
    inference(not_proxy_clausification,[],[f153]) ).

thf(f155,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] : ( rel_m @ Y0 @ Y0 ) ) ),
    inference(beta-eta_normalization,[],[f143]) ).

thf(f156,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] : ( rel_m @ Y0 @ Y0 )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f155]) ).

thf(f157,plain,
    ! [X1: $i] :
      ( $true
      = ( rel_m @ X1 @ X1 ) ),
    inference(beta-eta_normalization,[],[f156]) ).

thf(f170,plain,
    ( ( $true = $false )
    | ( $true
      = ( phi @ sK0 ) ) ),
    inference(constrained_superposition,[],[f154,f157]) ).

thf(f171,plain,
    ( $true
    = ( phi @ sK0 ) ),
    inference(trivial_inequality_removal,[],[f170]) ).

thf(f173,plain,
    $true = $false,
    inference(forward_demodulation,[],[f171,f148]) ).

thf(f174,plain,
    $false,
    inference(trivial_inequality_removal,[],[f173]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL722^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.14  % Computer : n012.cluster.edu
% 0.07/0.14  % Model    : x86_64 x86_64
% 0.07/0.14  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.14  % Memory   : 8046.5625MB
% 0.07/0.14  % OS       : Linux 6.8.0-71-generic
% 0.07/0.14  % CPULimit : 300
% 0.07/0.14  % WCLimit  : 300
% 0.07/0.14  % DateTime : Tue Sep 29 09:56:04 UTC 2026
% 0.07/0.14  % CPUTime  : 
% 0.07/0.14  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.16  Running first-order model finding
% 0.07/0.16  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
% 0.07/0.18  % (4080706)Will run a generic schedule for satisfiability detection.
% 0.07/0.18  % (4080712)% WARNING: option uhcvi not known.
% 0.07/0.18  % (4080712)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2632354923:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.18  % (4080715)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2140496950:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.18  % (4080711)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=202194378_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.18  % (4080713)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3023063754:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.18  % (4080714)dis+10_1_sil=32000:sp=arity:random_seed=1204651237:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.18  % (4080716)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2516870227:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.18  % (4080717)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3976529163:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.18  % (4080712)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.07/0.18  % (4080715)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.07/0.18  % Exception at run slice level
% 0.07/0.18  User error: % (4080712)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.07/0.18  Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.07/0.18  % (4080716) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4080706-4080716"...
% 0.07/0.18  % (4080715) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4080706-4080715"...
% 0.07/0.18  % (4080717) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4080706-4080717"...
% 0.07/0.18  % (4080714) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4080706-4080714"...
% 0.07/0.18  % (4080712) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4080706-4080712"...
% 0.07/0.18  % (4080713) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4080706-4080713"...
% 0.07/0.18  % (4080716)...printing done.
% 0.07/0.18  % (4080715)...printing done.
% 0.07/0.18  % (4080714)...printing done.
% 0.07/0.18  % (4080717)...printing done.
% 0.07/0.18  % (4080712)...printing done.
% 0.07/0.18  % (4080716)Refutation found. Thanks to Tanya!
% 0.07/0.18  % SZS status Theorem for theBenchmark
% 0.07/0.18  % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.19  % (4080716)------------------------------
% 0.07/0.19  % (4080716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.19  % (4080716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.19  % (4080716)CaDiCaL version: 2.1.3
% 0.07/0.19  % (4080716)Termination reason: Refutation
% 0.07/0.19  % (4080716)Time elapsed: 0.003 s
% 0.07/0.19  % (4080716)Peak memory usage: 12 MB
% 0.07/0.19  % (4080716)Instructions burned: 10 (million)
% 0.07/0.19  % (4080706)Success in time 0.017 s
% 0.07/0.19  % Vampire exiting
%------------------------------------------------------------------------------