TSTP Solution File: SYN662-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN662-1 : 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 : n031.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 03:42:10 EDT 2023

% Result   : Unsatisfiable 0.21s 0.43s
% Output   : Refutation 0.21s
% 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(f322,plain,
    $false,
    inference(subsumption_resolution,[],[f320,f218]) ).

fof(f218,plain,
    p2(sF18,sF17),
    inference(forward_demodulation,[],[f217,f80]) ).

fof(f80,plain,
    f11(sF11,c34) = sF18,
    introduced(function_definition,[]) ).

fof(f217,plain,
    p2(f11(sF11,c34),sF17),
    inference(subsumption_resolution,[],[f216,f11]) ).

fof(f11,axiom,
    p25(c33,c36),
    file('/export/starexec/sandbox2/tmp/tmp.3Alol0GY4l/Vampire---4.8_9477',p25_11) ).

fof(f216,plain,
    ( p2(f11(sF11,c34),sF17)
    | ~ p25(c33,c36) ),
    inference(subsumption_resolution,[],[f211,f12]) ).

fof(f12,axiom,
    p25(c32,c33),
    file('/export/starexec/sandbox2/tmp/tmp.3Alol0GY4l/Vampire---4.8_9477',p25_12) ).

fof(f211,plain,
    ( p2(f11(sF11,c34),sF17)
    | ~ p25(c32,c33)
    | ~ p25(c33,c36) ),
    inference(superposition,[],[f86,f72]) ).

fof(f72,plain,
    f4(c33) = sF11,
    introduced(function_definition,[]) ).

fof(f86,plain,
    ! [X82] :
      ( p2(f11(f4(X82),c34),sF17)
      | ~ p25(c32,X82)
      | ~ p25(X82,c36) ),
    inference(definition_folding,[],[f50,f79,f78]) ).

fof(f78,plain,
    f4(c32) = sF16,
    introduced(function_definition,[]) ).

fof(f79,plain,
    f11(sF16,c34) = sF17,
    introduced(function_definition,[]) ).

fof(f50,axiom,
    ! [X82] :
      ( ~ p25(X82,c36)
      | ~ p25(c32,X82)
      | p2(f11(f4(X82),c34),f11(f4(c32),c34)) ),
    file('/export/starexec/sandbox2/tmp/tmp.3Alol0GY4l/Vampire---4.8_9477',p2_50) ).

fof(f320,plain,
    ~ p2(sF18,sF17),
    inference(resolution,[],[f200,f6]) ).

fof(f6,axiom,
    ! [X4] : p2(X4,X4),
    file('/export/starexec/sandbox2/tmp/tmp.3Alol0GY4l/Vampire---4.8_9477',p2_6) ).

fof(f200,plain,
    ! [X0] :
      ( ~ p2(X0,sF18)
      | ~ p2(X0,sF17) ),
    inference(resolution,[],[f198,f30]) ).

fof(f30,axiom,
    ! [X31,X4,X32] :
      ( p2(X31,X32)
      | ~ p2(X4,X31)
      | ~ p2(X4,X32) ),
    file('/export/starexec/sandbox2/tmp/tmp.3Alol0GY4l/Vampire---4.8_9477',p2_30) ).

fof(f198,plain,
    ~ p2(sF17,sF18),
    inference(resolution,[],[f193,f82]) ).

fof(f82,plain,
    p2(sF17,sF19),
    inference(definition_folding,[],[f39,f81,f64,f63,f80,f72,f79,f78]) ).

fof(f63,plain,
    f17(c31) = sF4,
    introduced(function_definition,[]) ).

fof(f64,plain,
    f9(sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f81,plain,
    f16(sF18,sF5) = sF19,
    introduced(function_definition,[]) ).

fof(f39,axiom,
    p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/tmp/tmp.3Alol0GY4l/Vampire---4.8_9477',p2_39) ).

fof(f193,plain,
    ! [X10] :
      ( ~ p2(X10,sF19)
      | ~ p2(X10,sF18) ),
    inference(resolution,[],[f30,f89]) ).

fof(f89,plain,
    ~ p2(sF18,sF19),
    inference(superposition,[],[f65,f81]) ).

fof(f65,plain,
    ! [X10] : ~ p2(X10,f16(X10,sF5)),
    inference(definition_folding,[],[f19,f64,f63]) ).

fof(f19,axiom,
    ! [X10] : ~ p2(X10,f16(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox2/tmp/tmp.3Alol0GY4l/Vampire---4.8_9477',not_p2_19) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN662-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n031.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 20:25:53 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.3Alol0GY4l/Vampire---4.8_9477
% 0.15/0.36  % (9621)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (9627)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)
% 0.21/0.42  % (9626)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  % (9625)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  % (9623)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)
% 0.21/0.42  % (9624)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)
% 0.21/0.42  % (9628)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  % (9622)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)
% 0.21/0.43  % (9626)First to succeed.
% 0.21/0.43  % (9626)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Unsatisfiable for Vampire---4
% 0.21/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43  % (9626)------------------------------
% 0.21/0.43  % (9626)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43  % (9626)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43  % (9626)Termination reason: Refutation
% 0.21/0.43  
% 0.21/0.43  % (9626)Memory used [KB]: 5628
% 0.21/0.43  % (9626)Time elapsed: 0.010 s
% 0.21/0.43  % (9626)------------------------------
% 0.21/0.43  % (9626)------------------------------
% 0.21/0.43  % (9621)Success in time 0.069 s
% 0.21/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------