TSTP Solution File: SYN636-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN636-1 : 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 : n002.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 0.22s 0.40s
% Output   : Refutation 0.22s
% 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,[],[f128,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/sandbox/benchmark/theBenchmark.p',not_p3_7) ).

fof(f319,plain,
    ( p3(c23,f8(c24))
    | ~ spl0_1 ),
    inference(resolution,[],[f123,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/sandbox/benchmark/theBenchmark.p',p3_8) ).

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

fof(f123,plain,
    ( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f121,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,f125,f121]) ).

fof(f125,plain,
    ( spl0_2
  <=> p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(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/sandbox/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,f37]) ).

fof(f37,axiom,
    ! [X88,X86,X87] :
      ( ~ p21(f12(f13(X87,X88)),f12(f13(X87,f20(X86,X87,X88))))
      | p10(f11(X86,c27,X87),f11(X86,c27,X88))
      | p3(f4(X86),f8(c24)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_37) ).

fof(f186,plain,
    ( p21(f12(f13(c28,c29)),f12(f13(c28,f20(f6(c25,f7(c23,c26)),c28,c29))))
    | ~ spl0_2 ),
    inference(resolution,[],[f127,f27]) ).

fof(f27,axiom,
    ! [X52] :
      ( ~ p22(X52,f15(f6(c25,f7(c23,c26))))
      | p21(f12(f13(c28,c29)),f12(f13(c28,X52))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_27) ).

fof(f127,plain,
    ( p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26))))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f128,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f116,f125,f121]) ).

fof(f116,plain,
    ( p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26))))
    | p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
    inference(resolution,[],[f34,f25]) ).

fof(f34,axiom,
    ! [X88,X86,X87] :
      ( p10(f11(X86,c27,X87),f11(X86,c27,X88))
      | p22(f20(X86,X87,X88),f15(X86))
      | p3(f4(X86),f8(c24)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_34) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SYN636-1 : TPTP v8.1.2. Released v2.5.0.
% 0.15/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n002.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 02:13:55 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.22/0.36  % (2281)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (2285)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38  % (2282)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38  % (2283)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38  % (2284)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)
% 0.22/0.38  % (2286)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38  % (2287)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38  % (2288)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)
% 0.22/0.38  Detected minimum model sizes of [1,1]
% 0.22/0.38  Detected maximum model sizes of [max,4]
% 0.22/0.38  TRYING [1,1]
% 0.22/0.38  TRYING [2,1]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  Detected minimum model sizes of [1,1]
% 0.22/0.39  Detected maximum model sizes of [max,4]
% 0.22/0.39  TRYING [1,1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [2,1]
% 0.22/0.39  TRYING [3,1]
% 0.22/0.39  % (2287)First to succeed.
% 0.22/0.40  % (2287)Refutation found. Thanks to Tanya!
% 0.22/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40  % (2287)------------------------------
% 0.22/0.40  % (2287)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.40  % (2287)Termination reason: Refutation
% 0.22/0.40  
% 0.22/0.40  % (2287)Memory used [KB]: 915
% 0.22/0.40  % (2287)Time elapsed: 0.015 s
% 0.22/0.40  % (2287)Instructions burned: 24 (million)
% 0.22/0.40  % (2287)------------------------------
% 0.22/0.40  % (2287)------------------------------
% 0.22/0.40  % (2281)Success in time 0.033 s
%------------------------------------------------------------------------------