TSTP Solution File: SYN673-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN673-1 : 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 08:37:13 EDT 2024

% Result   : Unsatisfiable 6.58s 1.35s
% Output   : Refutation 6.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   30 (  13 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   47 (  22   ~;  25   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  13 con; 0-2 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f53647,plain,
    $false,
    inference(subsumption_resolution,[],[f53646,f17]) ).

fof(f17,axiom,
    ~ p29(f5(c33,f8(c34,c30)),c38),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p29_17) ).

fof(f53646,plain,
    p29(f5(c33,f8(c34,c30)),c38),
    inference(resolution,[],[f53557,f112]) ).

fof(f112,plain,
    p10(f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40)),c38),
    inference(resolution,[],[f41,f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ p10(X0,X1)
      | p10(X1,X0) ),
    inference(resolution,[],[f22,f1]) ).

fof(f1,axiom,
    ! [X0] : p10(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).

fof(f22,axiom,
    ! [X0,X19,X20] :
      ( ~ p10(X0,X20)
      | ~ p10(X0,X19)
      | p10(X19,X20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_22) ).

fof(f41,axiom,
    p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_41) ).

fof(f53557,plain,
    ! [X0] :
      ( ~ p10(f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40)),X0)
      | p29(f5(c33,f8(c34,c30)),X0) ),
    inference(resolution,[],[f3369,f5]) ).

fof(f5,axiom,
    ! [X4] : p4(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).

fof(f3369,plain,
    ! [X0,X1] :
      ( ~ p4(f5(c33,f8(c34,c30)),X0)
      | ~ p10(f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40)),X1)
      | p29(X0,X1) ),
    inference(resolution,[],[f3367,f38]) ).

fof(f38,axiom,
    ! [X50,X51,X49,X52] :
      ( ~ p29(X51,X52)
      | ~ p4(X51,X49)
      | ~ p10(X52,X50)
      | p29(X49,X50) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_38) ).

fof(f3367,plain,
    p29(f5(c33,f8(c34,c30)),f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
    inference(resolution,[],[f1062,f18]) ).

fof(f18,axiom,
    ! [X16,X17] :
      ( ~ p27(f12(c32,X17),X16)
      | p29(X16,X17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_18) ).

fof(f1062,plain,
    p27(f12(c32,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),f5(c33,f8(c34,c30))),
    inference(resolution,[],[f577,f918]) ).

fof(f918,plain,
    p27(f12(c32,f14(f19(c35,c37),c39)),f5(c33,f8(c34,c30))),
    inference(resolution,[],[f916,f19]) ).

fof(f19,axiom,
    ! [X16,X17] :
      ( ~ p29(X16,X17)
      | p27(f12(c32,X17),X16) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_19) ).

fof(f916,plain,
    p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39)),
    inference(subsumption_resolution,[],[f915,f1]) ).

fof(f915,plain,
    ( p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39))
    | ~ p10(f14(f19(c35,c37),c39),f14(f19(c35,c37),c39)) ),
    inference(duplicate_literal_removal,[],[f912]) ).

fof(f912,plain,
    ( p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39))
    | ~ p10(f14(f19(c35,c37),c39),f14(f19(c35,c37),c39))
    | p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39)) ),
    inference(resolution,[],[f731,f53]) ).

fof(f53,axiom,
    ! [X101] :
      ( ~ p28(f21(c30,f26(c43,X101)),c31)
      | ~ p10(X101,f14(f19(c35,c37),c39))
      | p29(f5(c33,f8(c34,c30)),X101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_53) ).

fof(f731,plain,
    ( p28(f21(c30,f26(c43,f14(f19(c35,c37),c39))),c31)
    | p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39)) ),
    inference(resolution,[],[f226,f37]) ).

fof(f37,axiom,
    ! [X18] :
      ( ~ p29(f24(c42,X18),c39)
      | p28(f21(c30,X18),c31) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_37) ).

fof(f226,plain,
    ( p29(f24(c42,f26(c43,f14(f19(c35,c37),c39))),c39)
    | p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39)) ),
    inference(resolution,[],[f52,f1]) ).

fof(f52,axiom,
    ! [X101] :
      ( ~ p10(X101,f14(f19(c35,c37),c39))
      | p29(f5(c33,f8(c34,c30)),X101)
      | p29(f24(c42,f26(c43,X101)),c39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_52) ).

fof(f577,plain,
    ! [X0] :
      ( ~ p27(f12(c32,X0),f5(c33,f8(c34,c30)))
      | p27(f12(c32,f14(f19(c35,X0),f17(c36,c40))),f5(c33,f8(c34,c30))) ),
    inference(resolution,[],[f55,f56]) ).

fof(f56,plain,
    p28(f21(c30,c40),c31),
    inference(resolution,[],[f20,f12]) ).

fof(f12,axiom,
    ! [X11] : p16(X11,X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_12) ).

fof(f20,axiom,
    ! [X18] :
      ( ~ p16(X18,c40)
      | p28(f21(c30,X18),c31) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_20) ).

fof(f55,axiom,
    ! [X104,X103] :
      ( ~ p28(f21(c30,X104),c31)
      | ~ p27(f12(c32,X103),f5(c33,f8(c34,c30)))
      | p27(f12(c32,f14(f19(c35,X103),f17(c36,X104))),f5(c33,f8(c34,c30))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_55) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN673-1 : TPTP v8.2.0. Released v2.5.0.
% 0.08/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n010.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   : Mon May 20 14:34:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (26468)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (26472)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  % (26469)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (26473)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (26471)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  % (26470)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (26474)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (26475)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]
% 0.14/0.38  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.38  Detected maximum model sizes of [1,max,1,1,1,1,max,max,1,1,1]
% 0.14/0.38  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.38  Detected maximum model sizes of [1,max,1,1,1,1,max,max,1,1,1]
% 0.14/0.38  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39  TRYING [1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [1,2,1,1,1,1,1,1,1,1,1]
% 0.14/0.39  TRYING [1,2,1,1,1,1,1,1,1,1,1]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [1,3,1,1,1,1,1,1,1,1,1]
% 0.14/0.39  TRYING [1,3,1,1,1,1,1,1,1,1,1]
% 0.14/0.39  TRYING [3]
% 0.21/0.40  TRYING [1,2,1,1,1,1,2,1,1,1,1]
% 0.21/0.40  TRYING [1,2,1,1,1,1,2,1,1,1,1]
% 0.21/0.40  TRYING [1,2,1,1,1,1,1,2,1,1,1]
% 0.21/0.40  TRYING [1,2,1,1,1,1,1,2,1,1,1]
% 0.21/0.40  TRYING [4]
% 0.21/0.40  TRYING [1,3,1,1,1,1,2,1,1,1,1]
% 0.21/0.40  TRYING [4]
% 0.21/0.40  TRYING [1,3,1,1,1,1,2,1,1,1,1]
% 0.21/0.41  TRYING [1,2,1,1,1,1,2,2,1,1,1]
% 0.21/0.41  TRYING [1,2,1,1,1,1,2,2,1,1,1]
% 0.21/0.41  TRYING [1,3,1,1,1,1,1,2,1,1,1]
% 0.21/0.41  TRYING [1,3,1,1,1,1,1,2,1,1,1]
% 0.21/0.42  TRYING [1,3,1,1,1,1,2,2,1,1,1]
% 0.21/0.42  TRYING [1,3,1,1,1,1,2,2,1,1,1]
% 0.21/0.43  TRYING [5]
% 0.21/0.43  TRYING [1,4,1,1,1,1,1,1,1,1,1]
% 0.21/0.43  TRYING [5]
% 0.21/0.43  TRYING [1,4,1,1,1,1,1,1,1,1,1]
% 0.21/0.44  TRYING [1,4,1,1,1,1,2,1,1,1,1]
% 0.21/0.45  TRYING [1,4,1,1,1,1,2,1,1,1,1]
% 0.21/0.45  TRYING [1,4,1,1,1,1,1,2,1,1,1]
% 0.21/0.46  TRYING [1,4,1,1,1,1,1,2,1,1,1]
% 0.21/0.46  TRYING [1,3,1,1,1,1,1,3,1,1,1]
% 0.21/0.46  TRYING [1,4,1,1,1,1,2,2,1,1,1]
% 0.21/0.47  TRYING [1,3,1,1,1,1,1,3,1,1,1]
% 0.21/0.47  TRYING [1,3,1,1,1,1,3,2,1,1,1]
% 0.21/0.47  TRYING [1,4,1,1,1,1,2,2,1,1,1]
% 0.21/0.48  TRYING [1,3,1,1,1,1,2,3,1,1,1]
% 0.21/0.48  TRYING [6]
% 0.21/0.49  TRYING [1,3,1,1,1,1,3,2,1,1,1]
% 0.21/0.49  TRYING [1,4,1,1,1,1,3,2,1,1,1]
% 0.21/0.49  TRYING [6]
% 0.21/0.49  TRYING [1,3,1,1,1,1,2,3,1,1,1]
% 0.21/0.49  TRYING [1,3,1,1,1,1,3,3,1,1,1]
% 0.21/0.50  TRYING [1,4,1,1,1,1,3,2,1,1,1]
% 0.21/0.50  TRYING [1,4,1,1,1,1,1,3,1,1,1]
% 0.21/0.51  TRYING [1,3,1,1,1,1,3,3,1,1,1]
% 1.12/0.51  TRYING [1,4,1,1,1,1,2,3,1,1,1]
% 1.12/0.51  TRYING [1,4,1,1,1,1,1,3,1,1,1]
% 1.12/0.52  TRYING [1,4,1,1,1,1,3,3,1,1,1]
% 1.12/0.52  TRYING [1,4,1,1,1,1,2,3,1,1,1]
% 1.26/0.53  TRYING [7]
% 1.26/0.53  TRYING [7]
% 1.26/0.53  TRYING [1,5,1,1,1,1,1,1,1,1,1]
% 1.26/0.54  TRYING [1,4,1,1,1,1,3,3,1,1,1]
% 1.26/0.55  TRYING [1,5,1,1,1,1,2,1,1,1,1]
% 1.26/0.55  TRYING [1,5,1,1,1,1,1,1,1,1,1]
% 1.26/0.56  TRYING [1,5,1,1,1,1,2,1,1,1,1]
% 1.26/0.56  TRYING [1,5,1,1,1,1,1,2,1,1,1]
% 1.26/0.57  TRYING [1,5,1,1,1,1,2,2,1,1,1]
% 1.26/0.57  TRYING [1,5,1,1,1,1,1,2,1,1,1]
% 1.26/0.59  TRYING [1,5,1,1,1,1,2,2,1,1,1]
% 1.26/0.59  TRYING [1,5,1,1,1,1,3,2,1,1,1]
% 1.26/0.60  TRYING [1,5,1,1,1,1,3,2,1,1,1]
% 1.26/0.61  TRYING [1,5,1,1,1,1,1,3,1,1,1]
% 1.26/0.61  TRYING [8]
% 1.26/0.62  TRYING [1,4,1,1,1,1,1,4,1,1,1]
% 1.26/0.62  TRYING [1,5,1,1,1,1,1,3,1,1,1]
% 1.95/0.63  TRYING [1,5,1,1,1,1,2,3,1,1,1]
% 1.95/0.63  TRYING [1,4,1,1,1,1,1,4,1,1,1]
% 1.95/0.64  TRYING [1,5,1,1,1,1,2,3,1,1,1]
% 1.95/0.65  TRYING [1,4,1,1,1,1,2,4,1,1,1]
% 1.95/0.66  TRYING [1,5,1,1,1,1,3,3,1,1,1]
% 1.95/0.66  TRYING [1,4,1,1,1,1,2,4,1,1,1]
% 1.95/0.68  TRYING [8]
% 1.95/0.68  TRYING [1,5,1,1,1,1,3,3,1,1,1]
% 1.95/0.68  TRYING [1,4,1,1,1,1,4,3,1,1,1]
% 1.95/0.69  TRYING [1,4,1,1,1,1,3,4,1,1,1]
% 2.45/0.70  TRYING [1,4,1,1,1,1,4,3,1,1,1]
% 2.45/0.71  TRYING [1,5,1,1,1,1,1,4,1,1,1]
% 2.45/0.71  TRYING [1,4,1,1,1,1,3,4,1,1,1]
% 2.45/0.72  TRYING [1,5,1,1,1,1,4,3,1,1,1]
% 2.45/0.72  TRYING [1,5,1,1,1,1,1,4,1,1,1]
% 2.45/0.74  TRYING [1,5,1,1,1,1,4,3,1,1,1]
% 2.45/0.74  TRYING [1,4,1,1,1,1,4,4,1,1,1]
% 2.45/0.75  TRYING [9]
% 2.45/0.75  TRYING [1,5,1,1,1,1,2,4,1,1,1]
% 2.45/0.76  TRYING [1,4,1,1,1,1,4,4,1,1,1]
% 2.94/0.77  TRYING [1,5,1,1,1,1,2,4,1,1,1]
% 2.94/0.78  TRYING [1,5,1,1,1,1,3,4,1,1,1]
% 2.94/0.79  TRYING [1,5,1,1,1,1,3,4,1,1,1]
% 3.16/0.80  TRYING [1,5,1,1,1,1,4,4,1,1,1]
% 3.16/0.80  TRYING [9]
% 3.16/0.81  TRYING [1,5,1,1,1,1,4,4,1,1,1]
% 3.16/0.82  TRYING [1,6,1,1,1,1,1,1,1,1,1]
% 3.37/0.84  TRYING [1,6,1,1,1,1,2,1,1,1,1]
% 3.37/0.84  TRYING [1,6,1,1,1,1,1,1,1,1,1]
% 3.37/0.86  TRYING [1,6,1,1,1,1,1,2,1,1,1]
% 3.37/0.87  TRYING [1,6,1,1,1,1,2,1,1,1,1]
% 3.37/0.88  TRYING [1,6,1,1,1,1,2,2,1,1,1]
% 3.37/0.89  TRYING [1,6,1,1,1,1,1,2,1,1,1]
% 3.37/0.91  TRYING [1,6,1,1,1,1,3,2,1,1,1]
% 3.37/0.91  TRYING [1,6,1,1,1,1,2,2,1,1,1]
% 4.06/0.93  TRYING [1,6,1,1,1,1,1,3,1,1,1]
% 4.06/0.93  TRYING [1,6,1,1,1,1,3,2,1,1,1]
% 4.06/0.95  TRYING [1,6,1,1,1,1,2,3,1,1,1]
% 4.06/0.95  TRYING [10]
% 4.06/0.96  TRYING [1,6,1,1,1,1,1,3,1,1,1]
% 4.06/0.98  TRYING [1,6,1,1,1,1,3,3,1,1,1]
% 4.06/0.98  TRYING [1,6,1,1,1,1,2,3,1,1,1]
% 4.54/1.01  TRYING [1,6,1,1,1,1,4,3,1,1,1]
% 4.54/1.01  TRYING [1,6,1,1,1,1,3,3,1,1,1]
% 4.54/1.03  TRYING [1,6,1,1,1,1,1,4,1,1,1]
% 4.54/1.04  TRYING [1,6,1,1,1,1,4,3,1,1,1]
% 4.54/1.06  TRYING [1,5,1,1,1,1,1,5,1,1,1]
% 4.54/1.06  TRYING [1,6,1,1,1,1,1,4,1,1,1]
% 5.03/1.07  TRYING [1,6,1,1,1,1,2,4,1,1,1]
% 5.11/1.09  TRYING [1,5,1,1,1,1,1,5,1,1,1]
% 5.11/1.10  TRYING [1,6,1,1,1,1,2,4,1,1,1]
% 5.11/1.10  TRYING [1,5,1,1,1,1,2,5,1,1,1]
% 5.34/1.12  TRYING [1,6,1,1,1,1,3,4,1,1,1]
% 5.34/1.13  TRYING [1,5,1,1,1,1,2,5,1,1,1]
% 5.56/1.16  TRYING [1,5,1,1,1,1,3,5,1,1,1]
% 5.56/1.17  TRYING [1,6,1,1,1,1,3,4,1,1,1]
% 5.56/1.19  TRYING [1,6,1,1,1,1,1,5,1,1,1]
% 5.56/1.20  TRYING [1,5,1,1,1,1,3,5,1,1,1]
% 5.56/1.21  TRYING [1,6,1,1,1,1,4,4,1,1,1]
% 6.16/1.23  TRYING [1,6,1,1,1,1,1,5,1,1,1]
% 6.16/1.24  TRYING [1,5,1,1,1,1,5,4,1,1,1]
% 6.16/1.25  TRYING [1,6,1,1,1,1,4,4,1,1,1]
% 6.16/1.26  TRYING [1,5,1,1,1,1,4,5,1,1,1]
% 6.58/1.29  TRYING [1,6,1,1,1,1,2,5,1,1,1]
% 6.58/1.29  TRYING [1,5,1,1,1,1,5,4,1,1,1]
% 6.58/1.31  TRYING [1,5,1,1,1,1,4,5,1,1,1]
% 6.58/1.32  TRYING [1,6,1,1,1,1,5,4,1,1,1]
% 6.58/1.34  TRYING [1,6,1,1,1,1,2,5,1,1,1]
% 6.58/1.35  % (26473)First to succeed.
% 6.58/1.35  % (26473)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26468"
% 6.58/1.35  TRYING [1,5,1,1,1,1,5,5,1,1,1]
% 6.58/1.35  % (26473)Refutation found. Thanks to Tanya!
% 6.58/1.35  % SZS status Unsatisfiable for theBenchmark
% 6.58/1.35  % SZS output start Proof for theBenchmark
% See solution above
% 6.58/1.35  % (26473)------------------------------
% 6.58/1.35  % (26473)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.58/1.35  % (26473)Termination reason: Refutation
% 6.58/1.35  
% 6.58/1.35  % (26473)Memory used [KB]: 14531
% 6.58/1.35  % (26473)Time elapsed: 0.963 s
% 6.58/1.35  % (26473)Instructions burned: 3257 (million)
% 6.58/1.35  % (26468)Success in time 0.982 s
%------------------------------------------------------------------------------