TSTP Solution File: SYN661-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN661-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n014.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 : Fri Sep  1 03:42:09 EDT 2023

% Result   : Unsatisfiable 0.23s 0.44s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   27 (  20 unt;   0 def)
%            Number of atoms       :   38 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   29 (  18   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  12 con; 0-2 aty)
%            Number of variables   :   10 (;  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f333,plain,
    $false,
    inference(subsumption_resolution,[],[f331,f275]) ).

fof(f275,plain,
    p2(sF17,sF16),
    inference(forward_demodulation,[],[f274,f78]) ).

fof(f78,plain,
    f11(sF10,c34) = sF17,
    introduced(function_definition,[]) ).

fof(f274,plain,
    p2(f11(sF10,c34),sF16),
    inference(subsumption_resolution,[],[f273,f12]) ).

fof(f12,axiom,
    p25(c36,c33),
    file('/export/starexec/sandbox2/tmp/tmp.ytZBM4M2cK/Vampire---4.8_27640',p25_12) ).

fof(f273,plain,
    ( p2(f11(sF10,c34),sF16)
    | ~ p25(c36,c33) ),
    inference(subsumption_resolution,[],[f268,f13]) ).

fof(f13,axiom,
    p25(c32,c36),
    file('/export/starexec/sandbox2/tmp/tmp.ytZBM4M2cK/Vampire---4.8_27640',p25_13) ).

fof(f268,plain,
    ( p2(f11(sF10,c34),sF16)
    | ~ p25(c32,c36)
    | ~ p25(c36,c33) ),
    inference(superposition,[],[f85,f70]) ).

fof(f70,plain,
    f4(c36) = sF10,
    introduced(function_definition,[]) ).

fof(f85,plain,
    ! [X81] :
      ( p2(f11(f4(X81),c34),sF16)
      | ~ p25(c32,X81)
      | ~ p25(X81,c33) ),
    inference(definition_folding,[],[f49,f77,f76]) ).

fof(f76,plain,
    f4(c32) = sF15,
    introduced(function_definition,[]) ).

fof(f77,plain,
    f11(sF15,c34) = sF16,
    introduced(function_definition,[]) ).

fof(f49,axiom,
    ! [X81] :
      ( ~ p25(X81,c33)
      | ~ p25(c32,X81)
      | p2(f11(f4(X81),c34),f11(f4(c32),c34)) ),
    file('/export/starexec/sandbox2/tmp/tmp.ytZBM4M2cK/Vampire---4.8_27640',p2_49) ).

fof(f331,plain,
    ~ p2(sF17,sF16),
    inference(resolution,[],[f195,f6]) ).

fof(f6,axiom,
    ! [X4] : p2(X4,X4),
    file('/export/starexec/sandbox2/tmp/tmp.ytZBM4M2cK/Vampire---4.8_27640',p2_6) ).

fof(f195,plain,
    ! [X0] :
      ( ~ p2(X0,sF17)
      | ~ p2(X0,sF16) ),
    inference(resolution,[],[f193,f30]) ).

fof(f30,axiom,
    ! [X31,X4,X32] :
      ( p2(X31,X32)
      | ~ p2(X4,X31)
      | ~ p2(X4,X32) ),
    file('/export/starexec/sandbox2/tmp/tmp.ytZBM4M2cK/Vampire---4.8_27640',p2_30) ).

fof(f193,plain,
    ~ p2(sF16,sF17),
    inference(resolution,[],[f189,f80]) ).

fof(f80,plain,
    p2(sF16,sF18),
    inference(definition_folding,[],[f40,f79,f62,f61,f78,f70,f77,f76]) ).

fof(f61,plain,
    f17(c31) = sF3,
    introduced(function_definition,[]) ).

fof(f62,plain,
    f9(sF3) = sF4,
    introduced(function_definition,[]) ).

fof(f79,plain,
    f16(sF17,sF4) = sF18,
    introduced(function_definition,[]) ).

fof(f40,axiom,
    p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/tmp/tmp.ytZBM4M2cK/Vampire---4.8_27640',p2_40) ).

fof(f189,plain,
    ! [X10] :
      ( ~ p2(X10,sF18)
      | ~ p2(X10,sF17) ),
    inference(resolution,[],[f30,f87]) ).

fof(f87,plain,
    ~ p2(sF17,sF18),
    inference(superposition,[],[f63,f79]) ).

fof(f63,plain,
    ! [X10] : ~ p2(X10,f16(X10,sF4)),
    inference(definition_folding,[],[f19,f62,f61]) ).

fof(f19,axiom,
    ! [X10] : ~ p2(X10,f16(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox2/tmp/tmp.ytZBM4M2cK/Vampire---4.8_27640',not_p2_19) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SYN661-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.16  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37  % Computer : n014.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sat Aug 26 18:44:17 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.16/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.ytZBM4M2cK/Vampire---4.8_27640
% 0.16/0.37  % (27755)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43  % (27765)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)
% 0.23/0.43  % (27766)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)
% 0.23/0.43  % (27762)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)
% 0.23/0.43  % (27759)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)
% 0.23/0.43  % (27760)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)
% 0.23/0.43  % (27761)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)
% 0.23/0.43  % (27757)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)
% 0.23/0.44  % (27762)First to succeed.
% 0.23/0.44  % (27762)Refutation found. Thanks to Tanya!
% 0.23/0.44  % SZS status Unsatisfiable for Vampire---4
% 0.23/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.44  % (27762)------------------------------
% 0.23/0.44  % (27762)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44  % (27762)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44  % (27762)Termination reason: Refutation
% 0.23/0.44  
% 0.23/0.44  % (27762)Memory used [KB]: 5628
% 0.23/0.44  % (27762)Time elapsed: 0.010 s
% 0.23/0.44  % (27762)------------------------------
% 0.23/0.44  % (27762)------------------------------
% 0.23/0.44  % (27755)Success in time 0.069 s
% 0.23/0.45  % Vampire---4.8 exiting
%------------------------------------------------------------------------------