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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---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 : n032.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 : Sat Sep  2 14:26:56 EDT 2023

% Result   : Unsatisfiable 3.33s 0.78s
% Output   : Refutation 3.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   29 (  17 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   37 (  19   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   64 (;  64   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36995,plain,
    $false,
    inference(resolution,[],[f36906,f16]) ).

fof(f16,axiom,
    ~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
    file('/export/starexec/sandbox2/tmp/tmp.E8fHG1kxcx/Vampire---4.8_1931',not_p12_16) ).

fof(f36906,plain,
    ! [X80,X81] : p12(f10(X80),f11(f10(f3(X80,X81)),f10(X81))),
    inference(resolution,[],[f1528,f1920]) ).

fof(f1920,plain,
    ! [X2,X3] : p4(f10(f3(f3(X2,X3),f9(X3))),f10(X2)),
    inference(resolution,[],[f1902,f9]) ).

fof(f9,axiom,
    ! [X11,X12] :
      ( ~ p2(X11,X12)
      | p4(f10(X11),f10(X12)) ),
    file('/export/starexec/sandbox2/tmp/tmp.E8fHG1kxcx/Vampire---4.8_1931',p4_9) ).

fof(f1902,plain,
    ! [X11,X12] : p2(f3(f3(X11,X12),f9(X12)),X11),
    inference(resolution,[],[f1876,f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f12,f1]) ).

fof(f1,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.E8fHG1kxcx/Vampire---4.8_1931',p2_1) ).

fof(f12,axiom,
    ! [X0,X16,X17] :
      ( ~ p2(X0,X17)
      | ~ p2(X0,X16)
      | p2(X16,X17) ),
    file('/export/starexec/sandbox2/tmp/tmp.E8fHG1kxcx/Vampire---4.8_1931',p2_12) ).

fof(f1876,plain,
    ! [X24,X25] : p2(X24,f3(f3(X24,X25),f9(X25))),
    inference(resolution,[],[f1857,f132]) ).

fof(f132,plain,
    ! [X3,X6,X4,X5] :
      ( ~ p2(f3(X3,f3(X4,X5)),X6)
      | p2(X6,f3(f3(X3,X4),X5)) ),
    inference(resolution,[],[f17,f12]) ).

fof(f17,axiom,
    ! [X26,X24,X25] : p2(f3(X24,f3(X25,X26)),f3(f3(X24,X25),X26)),
    file('/export/starexec/sandbox2/tmp/tmp.E8fHG1kxcx/Vampire---4.8_1931',p2_17) ).

fof(f1857,plain,
    ! [X0,X1] : p2(f3(X0,f3(X1,f9(X1))),X0),
    inference(resolution,[],[f1790,f34]) ).

fof(f34,plain,
    ! [X2,X3] :
      ( ~ p2(f3(X2,f5(f7(f8(c13)))),X3)
      | p2(X3,X2) ),
    inference(resolution,[],[f12,f5]) ).

fof(f5,axiom,
    ! [X4] : p2(f3(X4,f5(f7(f8(c13)))),X4),
    file('/export/starexec/sandbox2/tmp/tmp.E8fHG1kxcx/Vampire---4.8_1931',p2_5) ).

fof(f1790,plain,
    ! [X11,X12] : p2(f3(X11,f5(f7(f8(c13)))),f3(X11,f3(X12,f9(X12)))),
    inference(resolution,[],[f1727,f33]) ).

fof(f1727,plain,
    ! [X0,X1] : p2(f3(X0,f3(X1,f9(X1))),f3(X0,f5(f7(f8(c13))))),
    inference(resolution,[],[f505,f1]) ).

fof(f505,plain,
    ! [X56,X54,X55] :
      ( ~ p2(X54,X55)
      | p2(f3(X54,f3(X56,f9(X56))),f3(X55,f5(f7(f8(c13))))) ),
    inference(resolution,[],[f20,f11]) ).

fof(f11,axiom,
    ! [X15] : p2(f3(X15,f9(X15)),f5(f7(f8(c13)))),
    file('/export/starexec/sandbox2/tmp/tmp.E8fHG1kxcx/Vampire---4.8_1931',p2_11) ).

fof(f20,axiom,
    ! [X38,X36,X37,X35] :
      ( ~ p2(X36,X38)
      | ~ p2(X35,X37)
      | p2(f3(X35,X36),f3(X37,X38)) ),
    file('/export/starexec/sandbox2/tmp/tmp.E8fHG1kxcx/Vampire---4.8_1931',p2_20) ).

fof(f1528,plain,
    ! [X21,X22,X23] :
      ( ~ p4(f10(f3(X21,f9(X22))),X23)
      | p12(X23,f11(f10(X21),f10(X22))) ),
    inference(resolution,[],[f213,f883]) ).

fof(f883,plain,
    ! [X0,X1] : p4(f11(X0,f10(f9(X1))),f11(X0,f10(X1))),
    inference(resolution,[],[f348,f3]) ).

fof(f3,axiom,
    ! [X2] : p4(X2,X2),
    file('/export/starexec/sandbox2/tmp/tmp.E8fHG1kxcx/Vampire---4.8_1931',p4_3) ).

fof(f348,plain,
    ! [X28,X29,X27] :
      ( ~ p4(X27,X28)
      | p4(f11(X27,f10(f9(X29))),f11(X28,f10(X29))) ),
    inference(resolution,[],[f19,f4]) ).

fof(f4,axiom,
    ! [X3] : p4(f10(f9(X3)),f10(X3)),
    file('/export/starexec/sandbox2/tmp/tmp.E8fHG1kxcx/Vampire---4.8_1931',p4_4) ).

fof(f19,axiom,
    ! [X31,X34,X32,X33] :
      ( ~ p4(X32,X34)
      | ~ p4(X31,X33)
      | p4(f11(X31,X32),f11(X33,X34)) ),
    file('/export/starexec/sandbox2/tmp/tmp.E8fHG1kxcx/Vampire---4.8_1931',p4_19) ).

fof(f213,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p4(f11(f10(X0),f10(X1)),X2)
      | ~ p4(f10(f3(X0,X1)),X3)
      | p12(X3,X2) ),
    inference(resolution,[],[f18,f15]) ).

fof(f15,axiom,
    ! [X22,X23] : p12(f10(f3(X22,X23)),f11(f10(X22),f10(X23))),
    file('/export/starexec/sandbox2/tmp/tmp.E8fHG1kxcx/Vampire---4.8_1931',p12_15) ).

fof(f18,axiom,
    ! [X28,X29,X27,X30] :
      ( ~ p12(X29,X30)
      | ~ p4(X30,X28)
      | ~ p4(X29,X27)
      | p12(X27,X28) ),
    file('/export/starexec/sandbox2/tmp/tmp.E8fHG1kxcx/Vampire---4.8_1931',p12_18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : SYN572-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.09  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Wed Aug 30 16:00:32 EDT 2023
% 0.08/0.28  % CPUTime    : 
% 0.12/0.31  % (2141)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.31  % (2224)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.12/0.31  % (2218)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.12/0.31  % (2216)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.12/0.31  % (2221)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.12/0.31  % (2222)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.12/0.31  % (2220)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.12/0.32  TRYING [1]
% 0.12/0.32  TRYING [1]
% 0.12/0.32  TRYING [1]
% 0.12/0.32  TRYING [2]
% 0.12/0.32  TRYING [2]
% 0.12/0.32  % (2212)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.12/0.32  TRYING [2]
% 0.12/0.32  TRYING [3]
% 0.12/0.32  TRYING [3]
% 0.12/0.32  TRYING [3]
% 0.12/0.32  TRYING [1]
% 0.12/0.32  TRYING [2]
% 0.12/0.32  TRYING [3]
% 0.12/0.32  TRYING [4]
% 0.12/0.33  TRYING [4]
% 0.12/0.33  TRYING [4]
% 0.12/0.34  TRYING [4]
% 0.12/0.37  TRYING [5]
% 0.12/0.41  TRYING [5]
% 0.12/0.42  TRYING [5]
% 0.12/0.44  TRYING [5]
% 0.12/0.56  TRYING [6]
% 3.33/0.78  % (2221)First to succeed.
% 3.33/0.78  % (2221)Refutation found. Thanks to Tanya!
% 3.33/0.78  % SZS status Unsatisfiable for Vampire---4
% 3.33/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 3.33/0.78  % (2221)------------------------------
% 3.33/0.78  % (2221)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 3.33/0.78  % (2221)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 3.33/0.78  % (2221)Termination reason: Refutation
% 3.33/0.78  
% 3.33/0.78  % (2221)Memory used [KB]: 18421
% 3.33/0.78  % (2221)Time elapsed: 0.463 s
% 3.33/0.78  % (2221)------------------------------
% 3.33/0.78  % (2221)------------------------------
% 3.33/0.78  % (2141)Success in time 0.498 s
% 3.33/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------