TSTP Solution File: SYN572-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN572-1 : 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 : n022.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 03:41:46 EDT 2023

% Result   : Unsatisfiable 0.23s 0.54s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   35 (  13 unt;   0 def)
%            Number of atoms       :   72 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   86 (  49   ~;  35   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   2 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   56 (;  56   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3510,plain,
    $false,
    inference(avatar_sat_refutation,[],[f142,f3509]) ).

fof(f3509,plain,
    ~ spl1_9,
    inference(avatar_split_clause,[],[f3507,f135]) ).

fof(f135,plain,
    ( spl1_9
  <=> p2(c14,c14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

fof(f3507,plain,
    ~ p2(c14,c14),
    inference(resolution,[],[f3504,f5]) ).

fof(f5,axiom,
    ! [X4] : p2(f3(X4,f5(f7(f8(c13)))),X4),
    file('/export/starexec/sandbox/tmp/tmp.Y6mPwICMKS/Vampire---4.8_19295',p2_5) ).

fof(f3504,plain,
    ! [X4] :
      ( ~ p2(f3(X4,f5(f7(f8(c13)))),c14)
      | ~ p2(c14,X4) ),
    inference(resolution,[],[f3444,f11]) ).

fof(f11,axiom,
    ! [X15] : p2(f3(X15,f9(X15)),f5(f7(f8(c13)))),
    file('/export/starexec/sandbox/tmp/tmp.Y6mPwICMKS/Vampire---4.8_19295',p2_11) ).

fof(f3444,plain,
    ! [X2,X3] :
      ( ~ p2(f3(X2,X3),c14)
      | ~ p2(f3(c15,f9(c15)),X3)
      | ~ p2(c14,X2) ),
    inference(resolution,[],[f3434,f20]) ).

fof(f20,axiom,
    ! [X38,X36,X37,X35] :
      ( p2(f3(X35,X36),f3(X37,X38))
      | ~ p2(X35,X37)
      | ~ p2(X36,X38) ),
    file('/export/starexec/sandbox/tmp/tmp.Y6mPwICMKS/Vampire---4.8_19295',p2_20) ).

fof(f3434,plain,
    ! [X0] :
      ( ~ p2(f3(c14,f3(c15,f9(c15))),X0)
      | ~ p2(X0,c14) ),
    inference(resolution,[],[f3383,f17]) ).

fof(f17,axiom,
    ! [X26,X24,X25] : p2(f3(X24,f3(X25,X26)),f3(f3(X24,X25),X26)),
    file('/export/starexec/sandbox/tmp/tmp.Y6mPwICMKS/Vampire---4.8_19295',p2_17) ).

fof(f3383,plain,
    ! [X2,X3] :
      ( ~ p2(X2,c14)
      | ~ p2(X3,X2)
      | ~ p2(X3,f3(f3(c14,c15),f9(c15))) ),
    inference(resolution,[],[f3377,f12]) ).

fof(f12,axiom,
    ! [X0,X16,X17] :
      ( p2(X16,X17)
      | ~ p2(X0,X16)
      | ~ p2(X0,X17) ),
    file('/export/starexec/sandbox/tmp/tmp.Y6mPwICMKS/Vampire---4.8_19295',p2_12) ).

fof(f3377,plain,
    ! [X0] :
      ( ~ p2(X0,f3(f3(c14,c15),f9(c15)))
      | ~ p2(X0,c14) ),
    inference(resolution,[],[f3373,f12]) ).

fof(f3373,plain,
    ~ p2(f3(f3(c14,c15),f9(c15)),c14),
    inference(resolution,[],[f3367,f4]) ).

fof(f4,axiom,
    ! [X3] : p4(f10(f9(X3)),f10(X3)),
    file('/export/starexec/sandbox/tmp/tmp.Y6mPwICMKS/Vampire---4.8_19295',p4_4) ).

fof(f3367,plain,
    ! [X3] :
      ( ~ p4(f10(X3),f10(c15))
      | ~ p2(f3(f3(c14,c15),X3),c14) ),
    inference(resolution,[],[f959,f3]) ).

fof(f3,axiom,
    ! [X2] : p4(X2,X2),
    file('/export/starexec/sandbox/tmp/tmp.Y6mPwICMKS/Vampire---4.8_19295',p4_3) ).

fof(f959,plain,
    ! [X0,X1] :
      ( ~ p4(f10(X0),f10(f3(c14,c15)))
      | ~ p4(f10(X1),f10(c15))
      | ~ p2(f3(X0,X1),c14) ),
    inference(resolution,[],[f27,f9]) ).

fof(f9,axiom,
    ! [X11,X12] :
      ( p4(f10(X11),f10(X12))
      | ~ p2(X11,X12) ),
    file('/export/starexec/sandbox/tmp/tmp.Y6mPwICMKS/Vampire---4.8_19295',p4_9) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ p4(f10(f3(X0,X1)),f10(c14))
      | ~ p4(f10(X0),f10(f3(c14,c15)))
      | ~ p4(f10(X1),f10(c15)) ),
    inference(resolution,[],[f25,f19]) ).

fof(f19,axiom,
    ! [X31,X34,X32,X33] :
      ( p4(f11(X31,X32),f11(X33,X34))
      | ~ p4(X31,X33)
      | ~ p4(X32,X34) ),
    file('/export/starexec/sandbox/tmp/tmp.Y6mPwICMKS/Vampire---4.8_19295',p4_19) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ p4(f11(f10(X0),f10(X1)),f11(f10(f3(c14,c15)),f10(c15)))
      | ~ p4(f10(f3(X0,X1)),f10(c14)) ),
    inference(resolution,[],[f24,f15]) ).

fof(f15,axiom,
    ! [X22,X23] : p12(f10(f3(X22,X23)),f11(f10(X22),f10(X23))),
    file('/export/starexec/sandbox/tmp/tmp.Y6mPwICMKS/Vampire---4.8_19295',p12_15) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ p12(X0,X1)
      | ~ p4(X0,f10(c14))
      | ~ p4(X1,f11(f10(f3(c14,c15)),f10(c15))) ),
    inference(resolution,[],[f23,f16]) ).

fof(f16,axiom,
    ~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
    file('/export/starexec/sandbox/tmp/tmp.Y6mPwICMKS/Vampire---4.8_19295',not_p12_16) ).

fof(f23,plain,
    ! [X2,X3,X0,X1] :
      ( p12(X1,X3)
      | ~ p12(X0,X2)
      | ~ p4(X0,X1)
      | ~ p4(X2,X3) ),
    inference(resolution,[],[f22,f21]) ).

fof(f21,plain,
    ! [X28,X27,X30] :
      ( sP0(X27,X30)
      | p12(X27,X28)
      | ~ p4(X30,X28) ),
    inference(cnf_transformation,[],[f21_D]) ).

fof(f21_D,plain,
    ! [X30,X27] :
      ( ! [X28] :
          ( p12(X27,X28)
          | ~ p4(X30,X28) )
    <=> ~ sP0(X27,X30) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f22,plain,
    ! [X29,X27,X30] :
      ( ~ sP0(X27,X30)
      | ~ p4(X29,X27)
      | ~ p12(X29,X30) ),
    inference(general_splitting,[],[f18,f21_D]) ).

fof(f18,axiom,
    ! [X28,X29,X27,X30] :
      ( ~ p12(X29,X30)
      | ~ p4(X30,X28)
      | ~ p4(X29,X27)
      | p12(X27,X28) ),
    file('/export/starexec/sandbox/tmp/tmp.Y6mPwICMKS/Vampire---4.8_19295',p12_18) ).

fof(f142,plain,
    spl1_9,
    inference(avatar_contradiction_clause,[],[f139]) ).

fof(f139,plain,
    ( $false
    | spl1_9 ),
    inference(resolution,[],[f137,f1]) ).

fof(f1,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.Y6mPwICMKS/Vampire---4.8_19295',p2_1) ).

fof(f137,plain,
    ( ~ p2(c14,c14)
    | spl1_9 ),
    inference(avatar_component_clause,[],[f135]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN572-1 : 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 : n022.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 20:48:55 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.Y6mPwICMKS/Vampire---4.8_19295
% 0.15/0.37  % (19570)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43  % (19578)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  % (19575)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)
% 0.23/0.43  % (19580)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  % (19581)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  % (19579)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  % (19577)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)
% 0.23/0.44  % (19576)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)
% 0.23/0.54  % (19578)First to succeed.
% 0.23/0.54  % (19578)Refutation found. Thanks to Tanya!
% 0.23/0.54  % SZS status Unsatisfiable for Vampire---4
% 0.23/0.54  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.54  % (19578)------------------------------
% 0.23/0.54  % (19578)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.54  % (19578)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.54  % (19578)Termination reason: Refutation
% 0.23/0.54  
% 0.23/0.54  % (19578)Memory used [KB]: 11897
% 0.23/0.54  % (19578)Time elapsed: 0.107 s
% 0.23/0.54  % (19578)------------------------------
% 0.23/0.54  % (19578)------------------------------
% 0.23/0.54  % (19570)Success in time 0.162 s
% 0.23/0.54  % Vampire---4.8 exiting
%------------------------------------------------------------------------------