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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN698-1 : 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 : n019.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 Apr 30 18:04:49 EDT 2024

% Result   : Unsatisfiable 6.97s 1.35s
% Output   : Refutation 6.97s
% 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
% 0.03/0.13  % Problem    : SYN698-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n019.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   : Tue Apr 30 01:48:29 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (15704)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (15711)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  % (15705)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (15706)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (15708)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  % (15709)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (15707)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  % (15710)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  TRYING [2]
% 0.21/0.38  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]
% 0.21/0.38  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]
% 0.21/0.38  TRYING [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]
% 0.21/0.39  TRYING [1]
% 0.21/0.39  TRYING [3]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 0.21/0.39  Detected maximum model sizes of [1,max,max,3,1,max,max,max,max,max]
% 0.21/0.39  TRYING [1,1,1,1,1,1,1,1,1,1]
% 0.21/0.39  TRYING [1,2,1,1,1,1,1,1,1,1]
% 0.21/0.39  TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.39  TRYING [1,3,1,1,1,1,1,1,1,1]
% 0.21/0.40  TRYING [3]
% 0.21/0.40  TRYING [2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.40  TRYING [3,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.41  TRYING [4]
% 0.21/0.41  TRYING [1,2,1,2,1,1,1,1,1,1]
% 0.21/0.41  TRYING [1,3,1,2,1,1,1,1,1,1]
% 0.21/0.41  TRYING [4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.42  TRYING [4]
% 0.21/0.43  TRYING [1,4,1,1,1,1,1,1,1,1]
% 0.21/0.43  TRYING [4,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.46  TRYING [3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.46  TRYING [5]
% 0.21/0.47  TRYING [4,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.48  TRYING [1,4,1,2,1,1,1,1,1,1]
% 0.21/0.49  TRYING [5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.49  TRYING [5]
% 0.21/0.52  TRYING [5,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.24/0.53  TRYING [1,3,1,3,1,1,1,1,1,1]
% 1.24/0.54  TRYING [1,4,1,3,1,1,1,1,1,1]
% 1.38/0.54  TRYING [5,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.38/0.56  TRYING [6]
% 1.38/0.56  TRYING [6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.38/0.57  TRYING [1,5,1,1,1,1,1,1,1,1]
% 1.38/0.59  TRYING [6]
% 1.38/0.60  TRYING [6,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.38/0.61  TRYING [1,5,1,2,1,1,1,1,1,1]
% 1.96/0.63  TRYING [6,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.96/0.65  TRYING [1,5,1,3,1,1,1,1,1,1]
% 1.96/0.67  TRYING [7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.96/0.67  TRYING [7]
% 2.38/0.68  TRYING [7]
% 2.38/0.70  TRYING [1,6,1,1,1,1,1,1,1,1]
% 2.38/0.72  TRYING [7,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 2.86/0.76  TRYING [1,6,1,2,1,1,1,1,1,1]
% 2.95/0.78  TRYING [7,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 3.26/0.82  TRYING [8]
% 3.26/0.83  TRYING [1,6,1,3,1,1,1,1,1,1]
% 3.26/0.83  TRYING [8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 3.46/0.89  TRYING [8]
% 3.46/0.90  TRYING [8,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 3.46/0.91  TRYING [1,7,1,1,1,1,1,1,1,1]
% 4.06/0.98  TRYING [8,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 4.48/0.99  TRYING [1,7,1,2,1,1,1,1,1,1]
% 4.48/1.02  TRYING [9]
% 4.96/1.07  TRYING [9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 5.11/1.08  TRYING [1,7,1,3,1,1,1,1,1,1]
% 5.61/1.17  TRYING [1,8,1,1,1,1,1,1,1,1]
% 5.61/1.17  TRYING [9,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 5.61/1.18  TRYING [9]
% 6.48/1.28  TRYING [9,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 6.48/1.29  TRYING [1,8,1,2,1,1,1,1,1,1]
% 6.97/1.35  % (15710)First to succeed.
% 6.97/1.35  % (15710)Refutation found. Thanks to Tanya!
% 6.97/1.35  % SZS status Unsatisfiable for theBenchmark
% 6.97/1.35  % SZS output start Proof for theBenchmark
% See solution above
% 6.97/1.35  % (15710)------------------------------
% 6.97/1.35  % (15710)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 6.97/1.35  % (15710)Termination reason: Refutation
% 6.97/1.35  
% 6.97/1.35  % (15710)Memory used [KB]: 10342
% 6.97/1.35  % (15710)Time elapsed: 0.974 s
% 6.97/1.35  % (15710)Instructions burned: 3552 (million)
% 6.97/1.35  % (15710)------------------------------
% 6.97/1.35  % (15710)------------------------------
% 6.97/1.35  % (15704)Success in time 0.969 s
%------------------------------------------------------------------------------