TSTP Solution File: SYN700-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN700-1 : 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 : n014.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 12:11:58 EDT 2024

% Result   : Unsatisfiable 9.84s 1.95s
% Output   : Refutation 9.84s
% 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(f32367,plain,
    $false,
    inference(subsumption_resolution,[],[f32366,f12]) ).

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

fof(f32366,plain,
    ~ p2(c44,c44),
    inference(subsumption_resolution,[],[f32361,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(f32361,plain,
    ( p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
    | ~ p2(c44,c44) ),
    inference(resolution,[],[f2093,f101]) ).

fof(f101,plain,
    ! [X0] :
      ( p2(c46,X0)
      | ~ p2(c44,X0) ),
    inference(resolution,[],[f43,f16]) ).

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

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(f2093,plain,
    ! [X0] :
      ( ~ p2(X0,c44)
      | p2(f11(f4(X0),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
    inference(resolution,[],[f508,f248]) ).

fof(f248,plain,
    p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference(resolution,[],[f142,f12]) ).

fof(f142,plain,
    ! [X0] :
      ( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0)
      | p2(f11(f4(c44),c43),X0) ),
    inference(resolution,[],[f56,f43]) ).

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(f508,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p2(f11(f4(X0),X1),X2)
      | p2(f11(f4(X3),X1),X2)
      | ~ p2(X3,X0) ),
    inference(resolution,[],[f165,f179]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( p3(f4(X0),f4(X1))
      | ~ p2(X1,X0) ),
    inference(resolution,[],[f92,f10]) ).

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

fof(f92,plain,
    ! [X2,X0,X1] :
      ( ~ p3(f4(X0),X1)
      | p3(f4(X2),X1)
      | ~ p2(X0,X2) ),
    inference(resolution,[],[f41,f37]) ).

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

fof(f41,axiom,
    ! [X40,X3,X41] :
      ( ~ p3(X3,X40)
      | ~ p3(X3,X41)
      | p3(X40,X41) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_41) ).

fof(f165,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p3(X0,X1)
      | ~ p2(f11(X0,X2),X3)
      | p2(f11(X1,X2),X3) ),
    inference(resolution,[],[f161,f43]) ).

fof(f161,plain,
    ! [X2,X0,X1] :
      ( p2(f11(X0,X2),f11(X1,X2))
      | ~ p3(X0,X1) ),
    inference(resolution,[],[f62,f7]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.27  % Problem    : SYN700-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.28  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.50  % Computer : n014.cluster.edu
% 0.12/0.50  % Model    : x86_64 x86_64
% 0.12/0.50  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.50  % Memory   : 8042.1875MB
% 0.12/0.50  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.50  % CPULimit   : 300
% 0.12/0.50  % WCLimit    : 300
% 0.12/0.50  % DateTime   : Fri May  3 17:50:08 EDT 2024
% 0.12/0.50  % CPUTime    : 
% 0.12/0.50  % (18141)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.52  % (18148)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)
% 0.12/0.52  % (18142)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.52  % (18145)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.52  % (18146)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.52  % (18147)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.52  % (18144)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)
% 0.12/0.52  % (18143)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.52  TRYING [1]
% 0.12/0.52  TRYING [1]
% 0.12/0.53  TRYING [2]
% 0.12/0.53  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]
% 0.12/0.53  Detected maximum model sizes of [max,max,max,1,max,2,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.12/0.53  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 0.12/0.53  TRYING [2]
% 0.12/0.53  Detected maximum model sizes of [1,max,max,1,3,max,max,max,max,max]
% 0.12/0.53  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.12/0.53  TRYING [1,1,1,1,1,1,1,1,1,1]
% 0.12/0.53  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.12/0.53  TRYING [1,2,1,1,1,1,1,1,1,1]
% 0.12/0.53  TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.12/0.53  TRYING [1,3,1,1,1,1,1,1,1,1]
% 0.12/0.53  TRYING [3]
% 0.12/0.53  TRYING [3]
% 0.12/0.54  TRYING [2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.12/0.54  TRYING [1,2,1,1,2,1,1,1,1,1]
% 0.12/0.54  TRYING [3,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.12/0.54  TRYING [1,3,1,1,2,1,1,1,1,1]
% 0.12/0.55  TRYING [4]
% 0.12/0.55  TRYING [4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.12/0.55  TRYING [4]
% 0.12/0.55  TRYING [1,4,1,1,1,1,1,1,1,1]
% 0.45/0.56  TRYING [4,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.55/0.57  TRYING [1,4,1,1,2,1,1,1,1,1]
% 0.55/0.57  TRYING [5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.55/0.57  TRYING [5]
% 0.55/0.58  TRYING [5]
% 0.55/0.59  TRYING [1,3,1,1,3,1,1,1,1,1]
% 0.55/0.59  TRYING [5,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.55/0.60  TRYING [1,4,1,1,3,1,1,1,1,1]
% 0.55/0.62  TRYING [6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.55/0.62  TRYING [1,5,1,1,1,1,1,1,1,1]
% 0.94/0.63  TRYING [6]
% 0.94/0.65  TRYING [1,5,1,1,2,1,1,1,1,1]
% 1.15/0.66  TRYING [6]
% 1.15/0.66  TRYING [6,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.15/0.68  TRYING [1,5,1,1,3,1,1,1,1,1]
% 1.15/0.70  TRYING [7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.15/0.72  TRYING [1,6,1,1,1,1,1,1,1,1]
% 1.62/0.73  TRYING [7]
% 1.62/0.76  TRYING [7,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.89/0.77  TRYING [1,6,1,1,2,1,1,1,1,1]
% 1.89/0.78  TRYING [7]
% 1.89/0.83  TRYING [1,6,1,1,3,1,1,1,1,1]
% 2.40/0.84  TRYING [8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 2.61/0.90  TRYING [1,7,1,1,1,1,1,1,1,1]
% 2.61/0.91  TRYING [8]
% 3.03/0.95  TRYING [8,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 3.22/0.98  TRYING [8]
% 3.22/0.98  TRYING [1,7,1,1,2,1,1,1,1,1]
% 3.70/1.07  TRYING [9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 4.07/1.10  TRYING [1,7,1,1,3,1,1,1,1,1]
% 4.07/1.15  TRYING [9]
% 4.81/1.22  TRYING [1,8,1,1,1,1,1,1,1,1]
% 4.81/1.22  TRYING [9,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 5.67/1.32  TRYING [9]
% 5.67/1.36  TRYING [1,8,1,1,2,1,1,1,1,1]
% 6.04/1.38  TRYING [10,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 6.89/1.52  TRYING [1,8,1,1,3,1,1,1,1,1]
% 7.19/1.54  TRYING [10]
% 7.28/1.60  TRYING [10,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 8.27/1.71  TRYING [1,9,1,1,1,1,1,1,1,1]
% 9.20/1.82  TRYING [10]
% 9.28/1.86  TRYING [11,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 9.28/1.91  TRYING [1,9,1,1,2,1,1,1,1,1]
% 9.84/1.95  % (18147)First to succeed.
% 9.84/1.95  % (18147)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18141"
% 9.84/1.95  % (18147)Refutation found. Thanks to Tanya!
% 9.84/1.95  % SZS status Unsatisfiable for theBenchmark
% 9.84/1.95  % SZS output start Proof for theBenchmark
% See solution above
% 9.84/1.95  % (18147)------------------------------
% 9.84/1.95  % (18147)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 9.84/1.95  % (18147)Termination reason: Refutation
% 9.84/1.95  
% 9.84/1.95  % (18147)Memory used [KB]: 10239
% 9.84/1.95  % (18147)Time elapsed: 1.429 s
% 9.84/1.95  % (18147)Instructions burned: 3680 (million)
% 9.84/1.95  % (18141)Success in time 1.433 s
%------------------------------------------------------------------------------