TSTP Solution File: SYN698-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN698-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n010.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 May 21 08:37:18 EDT 2024

% Result   : Unsatisfiable 12.50s 2.15s
% Output   : Refutation 12.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   8 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  16   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   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   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f31805,plain,
    $false,
    inference(subsumption_resolution,[],[f31803,f57]) ).

fof(f57,axiom,
    ~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_57) ).

fof(f31803,plain,
    p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference(resolution,[],[f2086,f18]) ).

fof(f18,axiom,
    p2(c44,c46),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).

fof(f2086,plain,
    ! [X0] :
      ( ~ p2(c44,X0)
      | p2(f11(f4(X0),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
    inference(resolution,[],[f671,f243]) ).

fof(f243,plain,
    p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference(resolution,[],[f148,f12]) ).

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

fof(f148,plain,
    ! [X0] :
      ( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0)
      | p2(f11(f4(c44),c43),X0) ),
    inference(resolution,[],[f56,f43]) ).

fof(f43,axiom,
    ! [X44,X45,X5] :
      ( ~ p2(X5,X44)
      | ~ p2(X5,X45)
      | p2(X44,X45) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_43) ).

fof(f56,axiom,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_56) ).

fof(f671,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p2(f11(f4(X0),X1),X2)
      | p2(f11(f4(X3),X1),X2)
      | ~ p2(X0,X3) ),
    inference(resolution,[],[f303,f7]) ).

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

fof(f303,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p10(X0,X1)
      | ~ p2(f11(f4(X2),X0),X3)
      | p2(f11(f4(X4),X1),X3)
      | ~ p2(X2,X4) ),
    inference(resolution,[],[f166,f37]) ).

fof(f37,axiom,
    ! [X32,X33] :
      ( p3(f4(X32),f4(X33))
      | ~ p2(X32,X33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_37) ).

fof(f166,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p3(X2,X3)
      | ~ p10(X0,X1)
      | ~ p2(f11(X2,X0),X4)
      | p2(f11(X3,X1),X4) ),
    inference(resolution,[],[f62,f43]) ).

fof(f62,axiom,
    ! [X82,X83,X84,X85] :
      ( p2(f11(X82,X83),f11(X84,X85))
      | ~ p10(X83,X85)
      | ~ p3(X82,X84) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_62) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SYN698-1 : TPTP v8.2.0. Released v2.5.0.
% 0.10/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 14:20:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (22568)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (22572)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (22574)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)
% 0.14/0.38  % (22575)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38  % (22577)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (22576)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (22573)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (22578)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)
% 0.14/0.38  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  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]
% 0.14/0.39  Detected maximum model sizes of [max,max,max,3,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.14/0.39  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39  Detected maximum model sizes of [1,max,max,3,1,max,max,max,max,max]
% 0.14/0.39  TRYING [1,1,1,1,1,1,1,1,1,1]
% 0.14/0.40  TRYING [2]
% 0.14/0.40  TRYING [1,2,1,1,1,1,1,1,1,1]
% 0.14/0.40  TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.40  TRYING [3]
% 0.14/0.41  TRYING [1,3,1,1,1,1,1,1,1,1]
% 0.21/0.41  TRYING [3]
% 0.21/0.41  TRYING [2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.42  TRYING [3,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.43  TRYING [1,2,1,2,1,1,1,1,1,1]
% 0.21/0.44  TRYING [1,3,1,2,1,1,1,1,1,1]
% 0.21/0.44  TRYING [4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.44  TRYING [4]
% 0.21/0.46  TRYING [4]
% 0.21/0.46  TRYING [1,4,1,1,1,1,1,1,1,1]
% 0.21/0.47  TRYING [4,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.50  TRYING [3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.51  TRYING [4,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.52  TRYING [1,4,1,2,1,1,1,1,1,1]
% 0.21/0.52  TRYING [5]
% 0.21/0.53  TRYING [5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.54  TRYING [5]
% 0.21/0.57  TRYING [1,3,1,3,1,1,1,1,1,1]
% 0.21/0.58  TRYING [5,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.58  TRYING [1,4,1,3,1,1,1,1,1,1]
% 1.84/0.62  TRYING [6]
% 1.84/0.62  TRYING [5,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.84/0.63  TRYING [1,5,1,1,1,1,1,1,1,1]
% 2.06/0.66  TRYING [6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 2.06/0.67  TRYING [6]
% 2.06/0.69  TRYING [1,5,1,2,1,1,1,1,1,1]
% 2.06/0.72  TRYING [6,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 2.67/0.76  TRYING [1,5,1,3,1,1,1,1,1,1]
% 2.67/0.77  TRYING [7]
% 2.67/0.78  TRYING [6,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 3.08/0.84  TRYING [1,6,1,1,1,1,1,1,1,1]
% 3.08/0.85  TRYING [7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 3.57/0.86  TRYING [7]
% 3.94/0.93  TRYING [1,6,1,2,1,1,1,1,1,1]
% 3.94/0.93  TRYING [7,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 4.17/0.98  TRYING [8]
% 4.17/1.02  TRYING [7,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 4.17/1.02  TRYING [1,6,1,3,1,1,1,1,1,1]
% 5.18/1.11  TRYING [8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 5.18/1.15  TRYING [1,7,1,1,1,1,1,1,1,1]
% 5.18/1.17  TRYING [8]
% 6.15/1.23  TRYING [8,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 6.21/1.28  TRYING [1,7,1,2,1,1,1,1,1,1]
% 6.68/1.31  TRYING [9]
% 7.09/1.37  TRYING [8,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 7.09/1.42  TRYING [1,7,1,3,1,1,1,1,1,1]
% 7.98/1.52  TRYING [9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 8.35/1.57  TRYING [1,8,1,1,1,1,1,1,1,1]
% 8.79/1.66  TRYING [9]
% 9.31/1.72  TRYING [9,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 9.96/1.77  TRYING [1,8,1,2,1,1,1,1,1,1]
% 10.38/1.84  TRYING [10]
% 10.38/1.92  TRYING [9,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 11.04/1.97  TRYING [1,8,1,3,1,1,1,1,1,1]
% 12.50/2.14  % (22577)First to succeed.
% 12.50/2.15  % (22577)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22568"
% 12.50/2.15  % (22577)Refutation found. Thanks to Tanya!
% 12.50/2.15  % SZS status Unsatisfiable for theBenchmark
% 12.50/2.15  % SZS output start Proof for theBenchmark
% See solution above
% 12.50/2.15  % (22577)------------------------------
% 12.50/2.15  % (22577)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 12.50/2.15  % (22577)Termination reason: Refutation
% 12.50/2.15  
% 12.50/2.15  % (22577)Memory used [KB]: 10343
% 12.50/2.15  % (22577)Time elapsed: 1.767 s
% 12.50/2.15  % (22577)Instructions burned: 3558 (million)
% 12.50/2.15  % (22568)Success in time 1.774 s
%------------------------------------------------------------------------------