TSTP Solution File: SYN567-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN567-1 : 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 : n006.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 18:04:27 EDT 2024

% Result   : Unsatisfiable 0.21s 0.40s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (  10 unt;   0 def)
%            Number of atoms       :   51 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   43 (  19   ~;  20   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-1 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f103,plain,
    $false,
    inference(avatar_sat_refutation,[],[f84,f93,f96,f99,f102]) ).

fof(f102,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f100]) ).

fof(f100,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f75,f6]) ).

fof(f6,axiom,
    ~ p2(f6(c9),f3(f7(f7(f4(c10))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_6) ).

fof(f75,plain,
    ( p2(f6(c9),f3(f7(f7(f4(c10)))))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f73,plain,
    ( spl0_2
  <=> p2(f6(c9),f3(f7(f7(f4(c10))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f99,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f97]) ).

fof(f97,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f83,f4]) ).

fof(f4,axiom,
    ~ p2(f6(c9),f3(f4(c10))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_4) ).

fof(f83,plain,
    ( p2(f6(c9),f3(f4(c10)))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f81,plain,
    ( spl0_4
  <=> p2(f6(c9),f3(f4(c10))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f96,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f94]) ).

fof(f94,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f79,f5]) ).

fof(f5,axiom,
    ~ p2(f6(c9),f3(f7(f4(c10)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_5) ).

fof(f79,plain,
    ( p2(f6(c9),f3(f7(f4(c10))))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f77,plain,
    ( spl0_3
  <=> p2(f6(c9),f3(f7(f4(c10)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f93,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f91]) ).

fof(f91,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f85,f3]) ).

fof(f3,axiom,
    ! [X2] : p5(f8(f6(X2)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).

fof(f85,plain,
    ( ~ p5(f8(f6(c9)),c9)
    | spl0_1 ),
    inference(resolution,[],[f71,f10]) ).

fof(f10,axiom,
    ! [X10,X9] :
      ( p2(f6(X9),f6(X10))
      | ~ p5(X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).

fof(f71,plain,
    ( ~ p2(f6(f8(f6(c9))),f6(c9))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f69,plain,
    ( spl0_1
  <=> p2(f6(f8(f6(c9))),f6(c9)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f84,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f50,f81,f77,f73,f69]) ).

fof(f50,plain,
    ( p2(f6(c9),f3(f4(c10)))
    | p2(f6(c9),f3(f7(f4(c10))))
    | p2(f6(c9),f3(f7(f7(f4(c10)))))
    | ~ p2(f6(f8(f6(c9))),f6(c9)) ),
    inference(resolution,[],[f19,f12]) ).

fof(f12,axiom,
    ~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_12) ).

fof(f19,axiom,
    ! [X17] :
      ( p2(X17,f3(f7(f7(f7(f4(c10))))))
      | p2(X17,f3(f4(c10)))
      | p2(X17,f3(f7(f4(c10))))
      | p2(X17,f3(f7(f7(f4(c10)))))
      | ~ p2(f6(f8(X17)),X17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_19) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN567-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n006.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 01:40:50 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (21130)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (21132)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  TRYING [1,1]
% 0.14/0.38  TRYING [2,1]
% 0.14/0.38  TRYING [3,1]
% 0.14/0.38  TRYING [2,2]
% 0.14/0.39  % (21136)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39  TRYING [3,2]
% 0.14/0.39  TRYING [4,1]
% 0.14/0.39  % (21131)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39  % (21133)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)
% 0.14/0.39  % (21134)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39  % (21135)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.39  % (21137)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)
% 0.21/0.39  TRYING [1]
% 0.21/0.39  TRYING [4,2]
% 0.21/0.39  TRYING [1]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  TRYING [1,1]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  TRYING [2,1]
% 0.21/0.39  % (21133)First to succeed.
% 0.21/0.39  TRYING [3]
% 0.21/0.40  TRYING [3]
% 0.21/0.40  % (21136)Also succeeded, but the first one will report.
% 0.21/0.40  TRYING [3,1]
% 0.21/0.40  % (21133)Refutation found. Thanks to Tanya!
% 0.21/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40  % (21133)------------------------------
% 0.21/0.40  % (21133)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.40  % (21133)Termination reason: Refutation
% 0.21/0.40  
% 0.21/0.40  % (21133)Memory used [KB]: 773
% 0.21/0.40  % (21133)Time elapsed: 0.007 s
% 0.21/0.40  % (21133)Instructions burned: 5 (million)
% 0.21/0.40  % (21133)------------------------------
% 0.21/0.40  % (21133)------------------------------
% 0.21/0.40  % (21130)Success in time 0.034 s
%------------------------------------------------------------------------------