TSTP Solution File: SYN657-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN657-1 : 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 : n005.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 : Sun May  5 12:11:50 EDT 2024

% Result   : Unsatisfiable 0.23s 0.41s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (   5 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   38 (  16   ~;  20   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   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   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f340,plain,
    $false,
    inference(avatar_sat_refutation,[],[f133,f328,f339]) ).

fof(f339,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f338]) ).

fof(f338,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f329,f11]) ).

fof(f11,axiom,
    ~ p6(c28,f10(c33)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_11) ).

fof(f329,plain,
    ( p6(c28,f10(c33))
    | ~ spl0_1 ),
    inference(resolution,[],[f128,f58]) ).

fof(f58,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p6(f21(f8(X0,f9(X1,X2))),X3)
      | p6(X1,X3) ),
    inference(resolution,[],[f25,f15]) ).

fof(f15,axiom,
    ! [X8,X6,X7] : p6(f21(f8(X6,f9(X7,X8))),X7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_15) ).

fof(f25,axiom,
    ! [X2,X28,X27] :
      ( ~ p6(X2,X27)
      | ~ p6(X2,X28)
      | p6(X27,X28) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_25) ).

fof(f128,plain,
    ( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f126,plain,
    ( spl0_1
  <=> p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f328,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f327,f130,f126]) ).

fof(f130,plain,
    ( spl0_2
  <=> p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f327,plain,
    ( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f326,f44]) ).

fof(f44,axiom,
    ~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_44) ).

fof(f326,plain,
    ( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
    | p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34))
    | ~ spl0_2 ),
    inference(resolution,[],[f136,f132]) ).

fof(f132,plain,
    ( p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29))))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f136,plain,
    ! [X0] :
      ( ~ p25(f22(X0,c31,c34),f18(f8(c27,f9(c28,c29))))
      | p6(f21(X0),f10(c33))
      | p4(f5(X0,c36,c31),f5(X0,c36,c34)) ),
    inference(resolution,[],[f49,f45]) ).

fof(f45,axiom,
    ! [X76] :
      ( p24(f19(f20(c31,c34)),f19(f20(c31,X76)))
      | ~ p25(X76,f18(f8(c27,f9(c28,c29)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_45) ).

fof(f49,axiom,
    ! [X90,X91,X89] :
      ( ~ p24(f19(f20(X90,X91)),f19(f20(X90,f22(X89,X90,X91))))
      | p4(f5(X89,c36,X90),f5(X89,c36,X91))
      | p6(f21(X89),f10(c33)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_49) ).

fof(f133,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f123,f130,f126]) ).

fof(f123,plain,
    ( p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29))))
    | p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
    inference(resolution,[],[f48,f44]) ).

fof(f48,axiom,
    ! [X90,X91,X89] :
      ( p4(f5(X89,c36,X90),f5(X89,c36,X91))
      | p25(f22(X89,X90,X91),f18(X89))
      | p6(f21(X89),f10(c33)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_48) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN657-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n005.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   : Fri May  3 17:28:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  % (5933)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (5940)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)
% 0.14/0.39  % (5934)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39  % (5935)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39  % (5937)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  % (5938)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39  TRYING [1]
% 0.14/0.39  % (5936)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  TRYING [2]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  Detected minimum model sizes of [1,1,1,1,1,1]
% 0.14/0.39  Detected maximum model sizes of [max,2,max,max,max,max]
% 0.14/0.39  TRYING [1,1,1,1,1,1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [2,1,1,1,1,1]
% 0.14/0.39  Detected minimum model sizes of [1,1]
% 0.14/0.39  Detected maximum model sizes of [max,2]
% 0.14/0.39  TRYING [1,1]
% 0.14/0.39  TRYING [2,1]
% 0.14/0.40  TRYING [3]
% 0.14/0.40  TRYING [3,1,1,1,1,1]
% 0.14/0.40  % (5939)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.40  TRYING [3]
% 0.14/0.40  TRYING [3,1]
% 0.23/0.41  % (5939)First to succeed.
% 0.23/0.41  % (5939)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5933"
% 0.23/0.41  % (5939)Refutation found. Thanks to Tanya!
% 0.23/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.41  % (5939)------------------------------
% 0.23/0.41  % (5939)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.41  % (5939)Termination reason: Refutation
% 0.23/0.41  
% 0.23/0.41  % (5939)Memory used [KB]: 903
% 0.23/0.41  % (5939)Time elapsed: 0.037 s
% 0.23/0.41  % (5939)Instructions burned: 22 (million)
% 0.23/0.41  % (5933)Success in time 0.033 s
%------------------------------------------------------------------------------