TSTP Solution File: SYN718-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN718-1 : 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 : n029.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 12:12:01 EDT 2024

% Result   : Unsatisfiable 0.21s 0.48s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   20 (  12 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   27 (  14   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  11 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3875,plain,
    $false,
    inference(subsumption_resolution,[],[f3874,f105]) ).

fof(f105,axiom,
    ~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p57_105) ).

fof(f3874,plain,
    p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
    inference(resolution,[],[f3863,f23]) ).

fof(f23,axiom,
    ! [X22] : p25(X22,X22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_23) ).

fof(f3863,plain,
    ! [X0] :
      ( ~ p25(f26(f30(c85,c70),f22(f24(c71,c79),c80)),X0)
      | p57(X0,f22(f24(c71,c83),f10(c72,c73))) ),
    inference(resolution,[],[f2389,f423]) ).

fof(f423,plain,
    ! [X0] : p21(f22(X0,c84),f22(X0,f10(c72,c73))),
    inference(resolution,[],[f421,f36]) ).

fof(f36,axiom,
    p3(c84,f10(c72,c73)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_36) ).

fof(f421,plain,
    ! [X2,X0,X1] :
      ( ~ p3(X0,X1)
      | p21(f22(X2,X0),f22(X2,X1)) ),
    inference(resolution,[],[f101,f26]) ).

fof(f26,axiom,
    ! [X25] : p20(X25,X25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_26) ).

fof(f101,axiom,
    ! [X202,X203,X200,X201] :
      ( ~ p20(X200,X202)
      | ~ p3(X201,X203)
      | p21(f22(X200,X201),f22(X202,X203)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_101) ).

fof(f2389,plain,
    ! [X0,X1] :
      ( ~ p21(f22(f24(c71,c83),c84),X1)
      | ~ p25(f26(f30(c85,c70),f22(f24(c71,c79),c80)),X0)
      | p57(X0,X1) ),
    inference(resolution,[],[f2386,f76]) ).

fof(f76,axiom,
    ! [X113,X111,X114,X112] :
      ( ~ p57(X113,X114)
      | ~ p25(X113,X111)
      | ~ p21(X114,X112)
      | p57(X111,X112) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_76) ).

fof(f2386,plain,
    p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),c84)),
    inference(resolution,[],[f656,f218]) ).

fof(f218,plain,
    p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
    inference(resolution,[],[f81,f72]) ).

fof(f72,axiom,
    ! [X98,X96,X97] :
      ( ~ p57(f26(X96,X97),X98)
      | p57(f26(f30(c85,X96),X97),X98) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_72) ).

fof(f81,axiom,
    p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_81) ).

fof(f656,plain,
    ! [X0] :
      ( ~ p57(f26(f30(c85,c70),X0),f22(f24(c71,c81),c82))
      | p57(f26(f30(c85,c70),X0),f22(f24(c71,c83),c84)) ),
    inference(resolution,[],[f107,f216]) ).

fof(f216,plain,
    p57(f26(f30(c85,c70),f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
    inference(resolution,[],[f80,f72]) ).

fof(f80,axiom,
    p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_80) ).

fof(f107,axiom,
    ! [X222,X223,X220,X221] :
      ( ~ p57(f26(f30(c85,X220),X223),X222)
      | ~ p57(f26(f30(c85,X220),X221),X223)
      | p57(f26(f30(c85,X220),X221),X222) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_107) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN718-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 17:08:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  % (18300)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38  % (18305)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.38  % (18302)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38  % (18304)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.38  % (18303)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)
% 0.13/0.38  % (18307)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)
% 0.13/0.39  % (18301)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.39  % (18306)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.39  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.39  Detected maximum model sizes of [max,max,max,1,1,2,max,1,1,1,max,1,max,max,max,1,max,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.21/0.39  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.39  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.40  TRYING [1]
% 0.21/0.40  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.40  Detected maximum model sizes of [2,max,1,1,1,1,max,1,2,max,1,1,1,max,max,1,max,max,1,max,2,max,max,max,1,max,1]
% 0.21/0.40  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.40  TRYING [2]
% 0.21/0.40  TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.40  TRYING [1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.41  TRYING [1]
% 0.21/0.42  TRYING [2]
% 0.21/0.42  TRYING [1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.43  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.43  TRYING [3]
% 0.21/0.44  TRYING [2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.44  TRYING [3]
% 0.21/0.46  TRYING [3,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.46  TRYING [1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.47  % (18305)First to succeed.
% 0.21/0.47  % (18305)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18300"
% 0.21/0.48  % (18305)Refutation found. Thanks to Tanya!
% 0.21/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48  % (18305)------------------------------
% 0.21/0.48  % (18305)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.48  % (18305)Termination reason: Refutation
% 0.21/0.48  
% 0.21/0.48  % (18305)Memory used [KB]: 2063
% 0.21/0.48  % (18305)Time elapsed: 0.099 s
% 0.21/0.48  % (18305)Instructions burned: 166 (million)
% 0.21/0.48  % (18300)Success in time 0.101 s
%------------------------------------------------------------------------------