TSTP Solution File: SYN693-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN693-1 : 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 : n027.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 12:11:57 EDT 2024

% Result   : Unsatisfiable 6.21s 1.24s
% Output   : Refutation 6.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   22 (   9 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   40 (  21   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f28357,plain,
    $false,
    inference(subsumption_resolution,[],[f28356,f12]) ).

fof(f12,axiom,
    ! [X5] : p2(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).

fof(f28356,plain,
    ~ p2(c44,c44),
    inference(subsumption_resolution,[],[f28353,f53]) ).

fof(f53,axiom,
    ~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_53) ).

fof(f28353,plain,
    ( p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
    | ~ p2(c44,c44) ),
    inference(resolution,[],[f2333,f97]) ).

fof(f97,plain,
    ! [X0] :
      ( p2(c46,X0)
      | ~ p2(c44,X0) ),
    inference(resolution,[],[f40,f16]) ).

fof(f16,axiom,
    p2(c44,c46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).

fof(f40,axiom,
    ! [X44,X45,X5] :
      ( ~ p2(X5,X44)
      | ~ p2(X5,X45)
      | p2(X44,X45) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_40) ).

fof(f2333,plain,
    ! [X0] :
      ( ~ p2(X0,c44)
      | p2(f11(f4(X0),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
    inference(resolution,[],[f419,f232]) ).

fof(f232,plain,
    p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference(resolution,[],[f137,f12]) ).

fof(f137,plain,
    ! [X0] :
      ( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0)
      | p2(f11(f4(c44),c43),X0) ),
    inference(resolution,[],[f52,f40]) ).

fof(f52,axiom,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_52) ).

fof(f419,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p2(f11(f4(X0),X1),X2)
      | p2(f11(f4(X3),X1),X2)
      | ~ p2(X3,X0) ),
    inference(resolution,[],[f156,f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( p3(f4(X0),f4(X1))
      | ~ p2(X1,X0) ),
    inference(resolution,[],[f89,f10]) ).

fof(f10,axiom,
    ! [X3] : p3(X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_10) ).

fof(f89,plain,
    ! [X2,X0,X1] :
      ( ~ p3(f4(X0),X1)
      | p3(f4(X2),X1)
      | ~ p2(X0,X2) ),
    inference(resolution,[],[f38,f34]) ).

fof(f34,axiom,
    ! [X32,X33] :
      ( p3(f4(X32),f4(X33))
      | ~ p2(X32,X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_34) ).

fof(f38,axiom,
    ! [X40,X3,X41] :
      ( ~ p3(X3,X40)
      | ~ p3(X3,X41)
      | p3(X40,X41) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_38) ).

fof(f156,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p3(X0,X1)
      | ~ p2(f11(X0,X2),X3)
      | p2(f11(X1,X2),X3) ),
    inference(resolution,[],[f154,f40]) ).

fof(f154,plain,
    ! [X2,X0,X1] :
      ( p2(f11(X0,X2),f11(X1,X2))
      | ~ p3(X0,X1) ),
    inference(resolution,[],[f58,f7]) ).

fof(f7,axiom,
    ! [X0] : p10(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_7) ).

fof(f58,axiom,
    ! [X82,X83,X84,X85] :
      ( ~ p10(X83,X85)
      | ~ p3(X82,X84)
      | p2(f11(X82,X83),f11(X84,X85)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_58) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN693-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n027.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 17:23:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (25360)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (25362)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (25366)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (25365)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (25361)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (25367)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)
% 0.15/0.38  % (25363)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)
% 0.15/0.38  % (25364)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  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]
% 0.15/0.38  Detected maximum model sizes of [max,max,max,1,2,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.15/0.38  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.39  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 0.15/0.39  Detected maximum model sizes of [1,max,max,1,2,max,max,max,max,max]
% 0.15/0.39  TRYING [1,1,1,1,1,1,1,1,1,1]
% 0.15/0.39  TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.39  TRYING [1,2,1,1,1,1,1,1,1,1]
% 0.15/0.39  TRYING [1,3,1,1,1,1,1,1,1,1]
% 0.15/0.39  TRYING [3]
% 0.15/0.40  TRYING [3]
% 0.15/0.40  TRYING [2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.40  TRYING [3,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.40  TRYING [1,2,1,1,2,1,1,1,1,1]
% 0.15/0.41  TRYING [4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.41  TRYING [1,3,1,1,2,1,1,1,1,1]
% 0.15/0.41  TRYING [4]
% 0.15/0.41  TRYING [4]
% 0.15/0.42  TRYING [1,4,1,1,1,1,1,1,1,1]
% 0.15/0.42  TRYING [4,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.44  TRYING [5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.44  TRYING [1,4,1,1,2,1,1,1,1,1]
% 0.21/0.44  TRYING [5]
% 0.21/0.45  TRYING [5]
% 0.21/0.46  TRYING [5,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.47  TRYING [1,5,1,1,1,1,1,1,1,1]
% 0.21/0.49  TRYING [6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.50  TRYING [1,5,1,1,2,1,1,1,1,1]
% 0.21/0.50  TRYING [6]
% 0.21/0.52  TRYING [6,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.52  TRYING [6]
% 0.21/0.53  TRYING [1,6,1,1,1,1,1,1,1,1]
% 0.21/0.55  TRYING [7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.49/0.57  TRYING [7]
% 1.49/0.57  TRYING [1,6,1,1,2,1,1,1,1,1]
% 1.63/0.59  TRYING [7,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.63/0.60  TRYING [7]
% 1.63/0.61  TRYING [1,7,1,1,1,1,1,1,1,1]
% 1.99/0.63  TRYING [8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 2.11/0.66  TRYING [8]
% 2.11/0.67  TRYING [1,7,1,1,2,1,1,1,1,1]
% 2.11/0.70  TRYING [8,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 2.57/0.73  TRYING [8]
% 2.57/0.73  TRYING [1,8,1,1,1,1,1,1,1,1]
% 2.92/0.78  TRYING [9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 2.92/0.81  TRYING [9]
% 2.92/0.83  TRYING [1,8,1,1,2,1,1,1,1,1]
% 3.49/0.88  TRYING [9,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 3.72/0.92  TRYING [1,9,1,1,1,1,1,1,1,1]
% 4.08/0.94  TRYING [9]
% 4.19/0.98  TRYING [10,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 4.68/1.03  TRYING [10]
% 4.68/1.05  TRYING [1,9,1,1,2,1,1,1,1,1]
% 5.09/1.12  TRYING [10,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 5.93/1.19  TRYING [1,10,1,1,1,1,1,1,1,1]
% 6.21/1.24  % (25366)First to succeed.
% 6.21/1.24  % (25366)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25360"
% 6.21/1.24  TRYING [10]
% 6.21/1.24  % (25366)Refutation found. Thanks to Tanya!
% 6.21/1.24  % SZS status Unsatisfiable for theBenchmark
% 6.21/1.24  % SZS output start Proof for theBenchmark
% See solution above
% 6.21/1.24  % (25366)------------------------------
% 6.21/1.24  % (25366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.21/1.24  % (25366)Termination reason: Refutation
% 6.21/1.24  
% 6.21/1.24  % (25366)Memory used [KB]: 9134
% 6.21/1.24  % (25366)Time elapsed: 0.858 s
% 6.21/1.24  % (25366)Instructions burned: 3176 (million)
% 6.21/1.24  % (25360)Success in time 0.867 s
%------------------------------------------------------------------------------