TSTP Solution File: SYN613-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN613-1 : 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 : n016.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 03:41:57 EDT 2023

% Result   : Unsatisfiable 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (  11 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   88 (  51   ~;  35   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   58 (;  58   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f104,plain,
    $false,
    inference(resolution,[],[f97,f1]) ).

fof(f1,axiom,
    ! [X0] : p11(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.XDTitLM4lt/Vampire---4.8_9424',p11_1) ).

fof(f97,plain,
    ~ p11(c23,c23),
    inference(resolution,[],[f91,f7]) ).

fof(f7,axiom,
    p11(c23,f12(f9(c21))),
    file('/export/starexec/sandbox/tmp/tmp.XDTitLM4lt/Vampire---4.8_9424',p11_7) ).

fof(f91,plain,
    ! [X0] :
      ( ~ p11(X0,f12(f9(c21)))
      | ~ p11(X0,c23) ),
    inference(resolution,[],[f85,f15]) ).

fof(f15,axiom,
    ! [X0,X18,X19] :
      ( p11(X18,X19)
      | ~ p11(X0,X18)
      | ~ p11(X0,X19) ),
    file('/export/starexec/sandbox/tmp/tmp.XDTitLM4lt/Vampire---4.8_9424',p11_15) ).

fof(f85,plain,
    ~ p11(f12(f9(c21)),c23),
    inference(resolution,[],[f79,f8]) ).

fof(f8,axiom,
    p11(c24,f12(f9(c21))),
    file('/export/starexec/sandbox/tmp/tmp.XDTitLM4lt/Vampire---4.8_9424',p11_8) ).

fof(f79,plain,
    ! [X0] :
      ( ~ p11(c24,X0)
      | ~ p11(X0,c23) ),
    inference(resolution,[],[f74,f1]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ~ p11(X1,c24)
      | ~ p11(X1,X0)
      | ~ p11(X0,c23) ),
    inference(resolution,[],[f65,f15]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ p11(X0,c24)
      | ~ p11(X0,c23) ),
    inference(resolution,[],[f59,f15]) ).

fof(f59,plain,
    ~ p11(c24,c23),
    inference(resolution,[],[f54,f6]) ).

fof(f6,axiom,
    ! [X5] : p16(X5,X5),
    file('/export/starexec/sandbox/tmp/tmp.XDTitLM4lt/Vampire---4.8_9424',p16_6) ).

fof(f54,plain,
    ( ~ p16(c19,c19)
    | ~ p11(c24,c23) ),
    inference(resolution,[],[f48,f21]) ).

fof(f21,axiom,
    p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
    file('/export/starexec/sandbox/tmp/tmp.XDTitLM4lt/Vampire---4.8_9424',p17_21) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ p17(X0,f4(f7(f10(c20),f8(f9(c21),c22))),X1)
      | ~ p16(X0,c19)
      | ~ p11(X1,c23) ),
    inference(resolution,[],[f44,f4]) ).

fof(f4,axiom,
    ! [X3] : p3(X3,X3),
    file('/export/starexec/sandbox/tmp/tmp.XDTitLM4lt/Vampire---4.8_9424',p3_4) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( ~ p3(X1,f4(f7(f10(c20),f8(f9(c21),c22))))
      | ~ p17(X0,X1,X2)
      | ~ p16(X0,c19)
      | ~ p11(X2,c23) ),
    inference(resolution,[],[f40,f22]) ).

fof(f22,axiom,
    ~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
    file('/export/starexec/sandbox/tmp/tmp.XDTitLM4lt/Vampire---4.8_9424',not_p17_22) ).

fof(f40,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( p17(X1,X4,X5)
      | ~ p17(X0,X2,X3)
      | ~ p3(X2,X4)
      | ~ p16(X0,X1)
      | ~ p11(X3,X5) ),
    inference(resolution,[],[f39,f34]) ).

fof(f34,plain,
    ! [X50,X48,X49,X53] :
      ( sP1(X48,X53,X49)
      | p17(X48,X49,X50)
      | ~ p11(X53,X50) ),
    inference(cnf_transformation,[],[f34_D]) ).

fof(f34_D,plain,
    ! [X49,X53,X48] :
      ( ! [X50] :
          ( p17(X48,X49,X50)
          | ~ p11(X53,X50) )
    <=> ~ sP1(X48,X53,X49) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f39,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sP1(X0,X1,X2)
      | ~ p16(X3,X0)
      | ~ p17(X3,X4,X1)
      | ~ p3(X4,X2) ),
    inference(resolution,[],[f37,f36]) ).

fof(f36,plain,
    ! [X51,X49,X52,X53] :
      ( sP2(X53,X49,X52)
      | ~ p17(X52,X51,X53)
      | ~ p3(X51,X49) ),
    inference(cnf_transformation,[],[f36_D]) ).

fof(f36_D,plain,
    ! [X52,X49,X53] :
      ( ! [X51] :
          ( ~ p17(X52,X51,X53)
          | ~ p3(X51,X49) )
    <=> ~ sP2(X53,X49,X52) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f37,plain,
    ! [X48,X49,X52,X53] :
      ( ~ sP2(X53,X49,X52)
      | ~ sP1(X48,X53,X49)
      | ~ p16(X52,X48) ),
    inference(general_splitting,[],[f35,f36_D]) ).

fof(f35,plain,
    ! [X51,X48,X49,X52,X53] :
      ( ~ p16(X52,X48)
      | ~ p3(X51,X49)
      | ~ p17(X52,X51,X53)
      | ~ sP1(X48,X53,X49) ),
    inference(general_splitting,[],[f29,f34_D]) ).

fof(f29,axiom,
    ! [X50,X51,X48,X49,X52,X53] :
      ( ~ p16(X52,X48)
      | ~ p3(X51,X49)
      | ~ p11(X53,X50)
      | ~ p17(X52,X51,X53)
      | p17(X48,X49,X50) ),
    file('/export/starexec/sandbox/tmp/tmp.XDTitLM4lt/Vampire---4.8_9424',p17_29) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN613-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n016.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 21:46:57 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/sandbox/tmp/tmp.XDTitLM4lt/Vampire---4.8_9424
% 0.15/0.36  % (9660)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (9663)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)
% 0.22/0.42  % (9667)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)
% 0.22/0.42  % (9665)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)
% 0.22/0.42  % (9661)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)
% 0.22/0.42  % (9668)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)
% 0.22/0.42  % (9666)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)
% 0.22/0.42  % (9664)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)
% 0.22/0.43  % (9663)First to succeed.
% 0.22/0.43  % (9665)Also succeeded, but the first one will report.
% 0.22/0.43  % (9663)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43  % (9663)------------------------------
% 0.22/0.43  % (9663)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43  % (9663)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43  % (9663)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (9663)Memory used [KB]: 1023
% 0.22/0.43  % (9663)Time elapsed: 0.006 s
% 0.22/0.43  % (9663)------------------------------
% 0.22/0.43  % (9663)------------------------------
% 0.22/0.43  % (9660)Success in time 0.065 s
% 0.22/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------