TSTP Solution File: SYN633-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN633-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.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 : Tue Apr 30 18:04:38 EDT 2024

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (   5 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  16   ~;  19   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f331,plain,
    $false,
    inference(avatar_sat_refutation,[],[f116,f318,f330]) ).

fof(f330,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f329]) ).

fof(f329,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f319,f7]) ).

fof(f7,axiom,
    ~ p3(c23,f8(c24)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_7) ).

fof(f319,plain,
    ( p3(c23,f8(c24))
    | ~ spl0_1 ),
    inference(resolution,[],[f111,f46]) ).

fof(f46,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p3(f4(f6(X0,f7(X1,X2))),X3)
      | p3(X1,X3) ),
    inference(resolution,[],[f17,f8]) ).

fof(f8,axiom,
    ! [X8,X6,X7] : p3(f4(f6(X6,f7(X7,X8))),X7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).

fof(f17,axiom,
    ! [X3,X26,X25] :
      ( ~ p3(X3,X25)
      | ~ p3(X3,X26)
      | p3(X25,X26) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).

fof(f111,plain,
    ( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f109,plain,
    ( spl0_1
  <=> p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f318,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f317,f113,f109]) ).

fof(f113,plain,
    ( spl0_2
  <=> p22(f17(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f317,plain,
    ( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f315,f25]) ).

fof(f25,axiom,
    ~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_25) ).

fof(f315,plain,
    ( p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
    | p3(f4(f6(c25,f7(c23,c26))),f8(c24))
    | ~ spl0_2 ),
    inference(resolution,[],[f186,f38]) ).

fof(f38,axiom,
    ! [X83,X84,X85] :
      ( ~ p21(f12(f13(X84,X85)),f12(f13(X84,f17(X83,X84,X85))))
      | p10(f11(X83,c27,X84),f11(X83,c27,X85))
      | p3(f4(X83),f8(c24)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_38) ).

fof(f186,plain,
    ( p21(f12(f13(c28,c29)),f12(f13(c28,f17(f6(c25,f7(c23,c26)),c28,c29))))
    | ~ spl0_2 ),
    inference(resolution,[],[f115,f26]) ).

fof(f26,axiom,
    ! [X51] :
      ( ~ p22(X51,f16(f6(c25,f7(c23,c26))))
      | p21(f12(f13(c28,c29)),f12(f13(c28,X51))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_26) ).

fof(f115,plain,
    ( p22(f17(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f116,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f105,f113,f109]) ).

fof(f105,plain,
    ( p22(f17(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))
    | p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
    inference(resolution,[],[f33,f25]) ).

fof(f33,axiom,
    ! [X83,X84,X85] :
      ( p10(f11(X83,c27,X84),f11(X83,c27,X85))
      | p22(f17(X83,X84,X85),f16(X83))
      | p3(f4(X83),f8(c24)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_33) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN633-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Apr 30 02:18:33 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (1069)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (1075)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36  % (1071)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36  % (1070)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36  % (1073)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36  % (1072)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 theBenchmark for (476ds/0Mi)
% 0.13/0.36  % (1074)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36  % (1076)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36  % (1075)First to succeed.
% 0.13/0.37  % (1075)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (1075)------------------------------
% 0.13/0.37  % (1075)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37  % (1075)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (1075)Memory used [KB]: 915
% 0.13/0.37  % (1075)Time elapsed: 0.010 s
% 0.13/0.37  % (1075)Instructions burned: 24 (million)
% 0.13/0.37  % (1075)------------------------------
% 0.13/0.37  % (1075)------------------------------
% 0.13/0.37  % (1069)Success in time 0.009 s
%------------------------------------------------------------------------------