TSTP Solution File: LCL071-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL071-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 08:21:40 EDT 2023

% Result   : Unsatisfiable 0.21s 0.60s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   86 (  27 unt;   0 def)
%            Number of atoms       :  187 (   3 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  201 ( 100   ~;  98   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :  112 (; 112   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8519,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1359,f8491,f8495,f8518]) ).

fof(f8518,plain,
    ~ spl3_25,
    inference(avatar_contradiction_clause,[],[f8517]) ).

fof(f8517,plain,
    ( $false
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f704,f5846]) ).

fof(f5846,plain,
    ( ! [X24] : ~ is_a_theorem(implies(implies(X24,a),sF2))
    | ~ spl3_25 ),
    inference(resolution,[],[f5775,f64]) ).

fof(f64,plain,
    ! [X4,X5] : is_a_theorem(implies(X4,implies(X5,X4))),
    inference(resolution,[],[f25,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    file('/export/starexec/sandbox2/tmp/tmp.1SCNLQE42w/Vampire---4.8_6605',cn_19) ).

fof(f25,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X2,X0),X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f2,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.1SCNLQE42w/Vampire---4.8_6605',condensed_detachment) ).

fof(f5775,plain,
    ( ! [X0] :
        ( ~ is_a_theorem(implies(a,X0))
        | ~ is_a_theorem(implies(X0,sF2)) )
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f5773,f9]) ).

fof(f9,plain,
    ~ is_a_theorem(sF2),
    inference(definition_folding,[],[f5,f8,f7,f6]) ).

fof(f6,plain,
    not(a) = sF0,
    introduced(function_definition,[]) ).

fof(f7,plain,
    implies(sF0,a) = sF1,
    introduced(function_definition,[]) ).

fof(f8,plain,
    implies(sF1,a) = sF2,
    introduced(function_definition,[]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(implies(not(a),a),a)),
    file('/export/starexec/sandbox2/tmp/tmp.1SCNLQE42w/Vampire---4.8_6605',prove_cn_2) ).

fof(f5773,plain,
    ( ! [X0] :
        ( ~ is_a_theorem(implies(X0,sF2))
        | is_a_theorem(sF2)
        | ~ is_a_theorem(implies(a,X0)) )
    | ~ spl3_25 ),
    inference(resolution,[],[f727,f1246]) ).

fof(f1246,plain,
    ! [X8,X9] :
      ( ~ is_a_theorem(implies(sF0,X8))
      | ~ is_a_theorem(implies(X9,X8))
      | is_a_theorem(X8)
      | ~ is_a_theorem(implies(a,X9)) ),
    inference(resolution,[],[f995,f1]) ).

fof(f995,plain,
    ! [X6,X5] :
      ( is_a_theorem(implies(implies(a,X6),X5))
      | ~ is_a_theorem(implies(sF0,X5))
      | ~ is_a_theorem(implies(X6,X5)) ),
    inference(resolution,[],[f990,f1]) ).

fof(f990,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X1,X0),implies(implies(a,X1),X0)))
      | ~ is_a_theorem(implies(sF0,X0)) ),
    inference(condensation,[],[f982]) ).

fof(f982,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(sF0,X0))
      | is_a_theorem(implies(implies(X1,X0),implies(implies(a,X1),X0)))
      | ~ is_a_theorem(X2) ),
    inference(resolution,[],[f511,f1]) ).

fof(f511,plain,
    ! [X8,X6,X7] :
      ( is_a_theorem(implies(X6,implies(implies(X7,X8),implies(implies(a,X7),X8))))
      | ~ is_a_theorem(implies(sF0,X8)) ),
    inference(resolution,[],[f242,f1]) ).

fof(f242,plain,
    ! [X3,X4,X5] : is_a_theorem(implies(implies(sF0,X3),implies(X4,implies(implies(X5,X3),implies(implies(a,X5),X3))))),
    inference(resolution,[],[f45,f25]) ).

fof(f45,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(sF0,X1)),implies(X0,implies(implies(X2,X1),implies(implies(a,X2),X1))))),
    inference(superposition,[],[f4,f6]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))),
    file('/export/starexec/sandbox2/tmp/tmp.1SCNLQE42w/Vampire---4.8_6605',cn_60) ).

fof(f727,plain,
    ( is_a_theorem(implies(sF0,sF2))
    | ~ spl3_25 ),
    inference(resolution,[],[f704,f91]) ).

fof(f91,plain,
    ! [X2,X1] :
      ( ~ is_a_theorem(implies(implies(a,X2),X1))
      | is_a_theorem(implies(sF0,X1)) ),
    inference(resolution,[],[f39,f1]) ).

fof(f39,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(a,X0),X1),implies(sF0,X1))),
    inference(superposition,[],[f3,f6]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
    file('/export/starexec/sandbox2/tmp/tmp.1SCNLQE42w/Vampire---4.8_6605',cn_37) ).

fof(f704,plain,
    ( is_a_theorem(implies(implies(a,a),sF2))
    | ~ spl3_25 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f702,plain,
    ( spl3_25
  <=> is_a_theorem(implies(implies(a,a),sF2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f8495,plain,
    ( spl3_25
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f8494]) ).

fof(f8494,plain,
    ( $false
    | spl3_25
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f721,f8279]) ).

fof(f8279,plain,
    ( ! [X3] : ~ is_a_theorem(implies(sF1,implies(implies(a,X3),sF2)))
    | spl3_25 ),
    inference(resolution,[],[f6478,f39]) ).

fof(f6478,plain,
    ( ! [X15] :
        ( ~ is_a_theorem(implies(X15,implies(sF0,sF2)))
        | ~ is_a_theorem(implies(sF1,X15)) )
    | spl3_25 ),
    inference(subsumption_resolution,[],[f6355,f64]) ).

fof(f6355,plain,
    ( ! [X15] :
        ( ~ is_a_theorem(implies(sF1,X15))
        | ~ is_a_theorem(implies(sF2,implies(sF0,sF2)))
        | ~ is_a_theorem(implies(X15,implies(sF0,sF2))) )
    | spl3_25 ),
    inference(resolution,[],[f5606,f2744]) ).

fof(f2744,plain,
    ! [X160,X159] :
      ( is_a_theorem(implies(implies(sF1,X160),X159))
      | ~ is_a_theorem(implies(sF2,X159))
      | ~ is_a_theorem(implies(X160,X159)) ),
    inference(resolution,[],[f895,f38]) ).

fof(f38,plain,
    ! [X1] : is_a_theorem(implies(implies(sF2,X1),implies(not(sF1),X1))),
    inference(superposition,[],[f3,f8]) ).

fof(f895,plain,
    ! [X11,X14,X12,X13] :
      ( ~ is_a_theorem(implies(X11,implies(not(X12),X13)))
      | ~ is_a_theorem(X11)
      | is_a_theorem(implies(implies(X12,X14),X13))
      | ~ is_a_theorem(implies(X14,X13)) ),
    inference(resolution,[],[f262,f1]) ).

fof(f262,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(implies(X3,X2),implies(implies(X1,X3),X2)))
      | ~ is_a_theorem(implies(X0,implies(not(X1),X2)))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f44,f1]) ).

fof(f44,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),X2))))
      | ~ is_a_theorem(implies(X0,implies(not(X3),X2))) ),
    inference(resolution,[],[f4,f1]) ).

fof(f5606,plain,
    ( ! [X11] :
        ( ~ is_a_theorem(implies(X11,implies(sF0,sF2)))
        | ~ is_a_theorem(X11) )
    | spl3_25 ),
    inference(subsumption_resolution,[],[f5545,f71]) ).

fof(f71,plain,
    is_a_theorem(implies(a,sF2)),
    inference(resolution,[],[f25,f29]) ).

fof(f29,plain,
    ! [X1] : is_a_theorem(implies(implies(implies(X1,sF1),a),sF2)),
    inference(superposition,[],[f2,f8]) ).

fof(f5545,plain,
    ( ! [X11] :
        ( ~ is_a_theorem(X11)
        | ~ is_a_theorem(implies(X11,implies(sF0,sF2)))
        | ~ is_a_theorem(implies(a,sF2)) )
    | spl3_25 ),
    inference(resolution,[],[f1427,f703]) ).

fof(f703,plain,
    ( ~ is_a_theorem(implies(implies(a,a),sF2))
    | spl3_25 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f1427,plain,
    ! [X10,X8,X9] :
      ( is_a_theorem(implies(implies(a,X10),X9))
      | ~ is_a_theorem(X8)
      | ~ is_a_theorem(implies(X8,implies(sF0,X9)))
      | ~ is_a_theorem(implies(X10,X9)) ),
    inference(resolution,[],[f806,f1]) ).

fof(f806,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X2,X1),implies(implies(a,X2),X1)))
      | ~ is_a_theorem(implies(X0,implies(sF0,X1)))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f244,f1]) ).

fof(f244,plain,
    ! [X10,X8,X9] :
      ( is_a_theorem(implies(X8,implies(implies(X9,X10),implies(implies(a,X9),X10))))
      | ~ is_a_theorem(implies(X8,implies(sF0,X10))) ),
    inference(resolution,[],[f45,f1]) ).

fof(f721,plain,
    ( is_a_theorem(implies(sF1,implies(implies(a,a),sF2)))
    | ~ spl3_29 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f719,plain,
    ( spl3_29
  <=> is_a_theorem(implies(sF1,implies(implies(a,a),sF2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).

fof(f8491,plain,
    spl3_27,
    inference(avatar_contradiction_clause,[],[f8490]) ).

fof(f8490,plain,
    ( $false
    | spl3_27 ),
    inference(subsumption_resolution,[],[f8489,f106]) ).

fof(f106,plain,
    ! [X8,X6,X7] : is_a_theorem(implies(not(implies(X6,X7)),implies(X7,X8))),
    inference(resolution,[],[f36,f2]) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,X2),X1))
      | is_a_theorem(implies(not(X0),X1)) ),
    inference(resolution,[],[f3,f1]) ).

fof(f8489,plain,
    ( ~ is_a_theorem(implies(not(implies(a,sF0)),implies(sF0,sF2)))
    | spl3_27 ),
    inference(subsumption_resolution,[],[f8485,f89]) ).

fof(f89,plain,
    ! [X1] : is_a_theorem(implies(a,implies(X1,sF2))),
    inference(superposition,[],[f77,f8]) ).

fof(f77,plain,
    ! [X2,X3,X4] : is_a_theorem(implies(X2,implies(X3,implies(X4,X2)))),
    inference(resolution,[],[f64,f25]) ).

fof(f8485,plain,
    ( ~ is_a_theorem(implies(a,implies(sF0,sF2)))
    | ~ is_a_theorem(implies(not(implies(a,sF0)),implies(sF0,sF2)))
    | spl3_27 ),
    inference(resolution,[],[f6041,f2819]) ).

fof(f2819,plain,
    ! [X393,X391,X392] :
      ( is_a_theorem(implies(implies(X391,X392),X393))
      | ~ is_a_theorem(implies(X392,X393))
      | ~ is_a_theorem(implies(not(X391),X393)) ),
    inference(condensation,[],[f2814]) ).

fof(f2814,plain,
    ! [X393,X391,X390,X392] :
      ( ~ is_a_theorem(X390)
      | is_a_theorem(implies(implies(X391,X392),X393))
      | ~ is_a_theorem(implies(X392,X393))
      | ~ is_a_theorem(implies(not(X391),X393)) ),
    inference(resolution,[],[f895,f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f64,f1]) ).

fof(f6041,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,sF0),a),implies(sF0,sF2)))
    | spl3_27 ),
    inference(subsumption_resolution,[],[f4122,f169]) ).

fof(f169,plain,
    ! [X1] : is_a_theorem(implies(not(sF1),implies(X1,sF2))),
    inference(superposition,[],[f113,f8]) ).

fof(f113,plain,
    ! [X18,X19,X20] : is_a_theorem(implies(not(X18),implies(X19,implies(X18,X20)))),
    inference(resolution,[],[f36,f64]) ).

fof(f4122,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,sF0),a),implies(sF0,sF2)))
    | ~ is_a_theorem(implies(not(sF1),implies(sF0,sF2)))
    | spl3_27 ),
    inference(resolution,[],[f2819,f3211]) ).

fof(f3211,plain,
    ( ~ is_a_theorem(implies(implies(sF1,implies(implies(a,sF0),a)),implies(sF0,sF2)))
    | spl3_27 ),
    inference(resolution,[],[f2985,f336]) ).

fof(f336,plain,
    ! [X1] : is_a_theorem(implies(sF1,implies(X1,implies(sF1,implies(implies(a,sF0),a))))),
    inference(resolution,[],[f142,f25]) ).

fof(f142,plain,
    ! [X0] : is_a_theorem(implies(implies(X0,sF1),implies(X0,implies(sF1,implies(implies(a,sF0),a))))),
    inference(forward_demodulation,[],[f141,f7]) ).

fof(f141,plain,
    ! [X0] : is_a_theorem(implies(implies(X0,implies(sF0,a)),implies(X0,implies(sF1,implies(implies(a,sF0),a))))),
    inference(superposition,[],[f46,f6]) ).

fof(f46,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),a)),implies(X0,implies(sF1,implies(implies(X1,sF0),a))))),
    inference(superposition,[],[f4,f7]) ).

fof(f2985,plain,
    ( ! [X13] :
        ( ~ is_a_theorem(implies(sF1,implies(sF1,X13)))
        | ~ is_a_theorem(implies(X13,implies(sF0,sF2))) )
    | spl3_27 ),
    inference(subsumption_resolution,[],[f2980,f64]) ).

fof(f2980,plain,
    ( ! [X13] :
        ( ~ is_a_theorem(implies(sF1,implies(sF1,X13)))
        | ~ is_a_theorem(implies(sF2,implies(sF0,sF2)))
        | ~ is_a_theorem(implies(X13,implies(sF0,sF2))) )
    | spl3_27 ),
    inference(resolution,[],[f2958,f2744]) ).

fof(f2958,plain,
    ( ! [X12] :
        ( ~ is_a_theorem(implies(X12,implies(sF0,sF2)))
        | ~ is_a_theorem(implies(sF1,X12)) )
    | spl3_27 ),
    inference(subsumption_resolution,[],[f2950,f64]) ).

fof(f2950,plain,
    ( ! [X12] :
        ( ~ is_a_theorem(implies(sF2,implies(sF0,sF2)))
        | ~ is_a_theorem(implies(X12,implies(sF0,sF2)))
        | ~ is_a_theorem(implies(sF1,X12)) )
    | spl3_27 ),
    inference(resolution,[],[f2744,f1373]) ).

fof(f1373,plain,
    ( ! [X0] :
        ( ~ is_a_theorem(implies(X0,implies(sF0,sF2)))
        | ~ is_a_theorem(X0) )
    | spl3_27 ),
    inference(forward_demodulation,[],[f1368,f6]) ).

fof(f1368,plain,
    ( ! [X0] :
        ( ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,implies(not(a),sF2))) )
    | spl3_27 ),
    inference(resolution,[],[f894,f711]) ).

fof(f711,plain,
    ( ~ is_a_theorem(implies(sF0,implies(implies(a,a),sF2)))
    | spl3_27 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f710,plain,
    ( spl3_27
  <=> is_a_theorem(implies(sF0,implies(implies(a,a),sF2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).

fof(f894,plain,
    ! [X10,X8,X9] :
      ( is_a_theorem(implies(sF0,implies(implies(X9,a),X10)))
      | ~ is_a_theorem(X8)
      | ~ is_a_theorem(implies(X8,implies(not(X9),X10))) ),
    inference(resolution,[],[f262,f91]) ).

fof(f1359,plain,
    ( ~ spl3_27
    | spl3_29 ),
    inference(avatar_contradiction_clause,[],[f1358]) ).

fof(f1358,plain,
    ( $false
    | ~ spl3_27
    | spl3_29 ),
    inference(subsumption_resolution,[],[f1338,f89]) ).

fof(f1338,plain,
    ( ! [X4] : ~ is_a_theorem(implies(a,implies(implies(X4,implies(a,a)),sF2)))
    | ~ spl3_27
    | spl3_29 ),
    inference(resolution,[],[f1312,f2]) ).

fof(f1312,plain,
    ( ! [X42] :
        ( ~ is_a_theorem(implies(X42,implies(implies(a,a),sF2)))
        | ~ is_a_theorem(implies(a,X42)) )
    | ~ spl3_27
    | spl3_29 ),
    inference(subsumption_resolution,[],[f1276,f753]) ).

fof(f753,plain,
    ( ~ is_a_theorem(implies(implies(a,a),sF2))
    | spl3_29 ),
    inference(resolution,[],[f720,f76]) ).

fof(f720,plain,
    ( ~ is_a_theorem(implies(sF1,implies(implies(a,a),sF2)))
    | spl3_29 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f1276,plain,
    ( ! [X42] :
        ( ~ is_a_theorem(implies(X42,implies(implies(a,a),sF2)))
        | is_a_theorem(implies(implies(a,a),sF2))
        | ~ is_a_theorem(implies(a,X42)) )
    | ~ spl3_27 ),
    inference(resolution,[],[f1246,f712]) ).

fof(f712,plain,
    ( is_a_theorem(implies(sF0,implies(implies(a,a),sF2)))
    | ~ spl3_27 ),
    inference(avatar_component_clause,[],[f710]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : LCL071-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Aug 24 17:36:51 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.13/0.35  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.1SCNLQE42w/Vampire---4.8_6605
% 0.13/0.36  % (6732)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.39  % (6735)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.21/0.41  % (6739)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.21/0.42  % (6736)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.42  % (6737)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.42  % (6733)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.21/0.42  % (6738)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.21/0.43  % (6734)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.21/0.60  % (6737)First to succeed.
% 0.21/0.60  % (6737)Refutation found. Thanks to Tanya!
% 0.21/0.60  % SZS status Unsatisfiable for Vampire---4
% 0.21/0.60  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.60  % (6737)------------------------------
% 0.21/0.60  % (6737)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.60  % (6737)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.60  % (6737)Termination reason: Refutation
% 0.21/0.60  
% 0.21/0.60  % (6737)Memory used [KB]: 10106
% 0.21/0.60  % (6737)Time elapsed: 0.184 s
% 0.21/0.60  % (6737)------------------------------
% 0.21/0.60  % (6737)------------------------------
% 0.21/0.60  % (6732)Success in time 0.241 s
% 0.21/0.60  % Vampire---4.8 exiting
%------------------------------------------------------------------------------