TSTP Solution File: SYN696-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN696-1 : 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 : n024.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 18:04:48 EDT 2024

% Result   : Unsatisfiable 6.79s 1.37s
% Output   : Refutation 6.79s
% 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(f32380,plain,
    $false,
    inference(subsumption_resolution,[],[f32379,f12]) ).

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

fof(f32379,plain,
    ~ p2(c44,c44),
    inference(subsumption_resolution,[],[f32374,f56]) ).

fof(f56,axiom,
    ~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_56) ).

fof(f32374,plain,
    ( p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
    | ~ p2(c44,c44) ),
    inference(resolution,[],[f2090,f101]) ).

fof(f101,plain,
    ! [X0] :
      ( p2(c45,X0)
      | ~ p2(c44,X0) ),
    inference(resolution,[],[f42,f16]) ).

fof(f16,axiom,
    p2(c44,c45),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).

fof(f42,axiom,
    ! [X44,X45,X5] :
      ( ~ p2(X5,X44)
      | ~ p2(X5,X45)
      | p2(X44,X45) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_42) ).

fof(f2090,plain,
    ! [X0] :
      ( ~ p2(X0,c44)
      | p2(f11(f4(X0),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
    inference(resolution,[],[f525,f262]) ).

fof(f262,plain,
    p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference(resolution,[],[f144,f12]) ).

fof(f144,plain,
    ! [X0] :
      ( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0)
      | p2(f11(f4(c44),c43),X0) ),
    inference(resolution,[],[f55,f42]) ).

fof(f55,axiom,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_55) ).

fof(f525,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p2(f11(f4(X0),X1),X2)
      | p2(f11(f4(X3),X1),X2)
      | ~ p2(X3,X0) ),
    inference(resolution,[],[f163,f172]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( p3(f4(X0),f4(X1))
      | ~ p2(X1,X0) ),
    inference(resolution,[],[f93,f10]) ).

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

fof(f93,plain,
    ! [X2,X0,X1] :
      ( ~ p3(f4(X0),X1)
      | p3(f4(X2),X1)
      | ~ p2(X0,X2) ),
    inference(resolution,[],[f40,f36]) ).

fof(f36,axiom,
    ! [X32,X33] :
      ( p3(f4(X32),f4(X33))
      | ~ p2(X32,X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_36) ).

fof(f40,axiom,
    ! [X40,X3,X41] :
      ( ~ p3(X3,X40)
      | ~ p3(X3,X41)
      | p3(X40,X41) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_40) ).

fof(f163,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p3(X0,X1)
      | ~ p2(f11(X0,X2),X3)
      | p2(f11(X1,X2),X3) ),
    inference(resolution,[],[f161,f42]) ).

fof(f161,plain,
    ! [X2,X0,X1] :
      ( p2(f11(X0,X2),f11(X1,X2))
      | ~ p3(X0,X1) ),
    inference(resolution,[],[f61,f7]) ).

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

fof(f61,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_61) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN696-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n024.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   : Tue Apr 30 01:56:21 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (32146)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (32152)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (32149)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)
% 0.14/0.37  % (32148)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (32147)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (32150)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (32151)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (32153)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)
% 0.14/0.37  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]
% 0.14/0.37  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]
% 0.14/0.38  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 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]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  Detected maximum model sizes of [1,max,max,1,2,max,max,max,max,max]
% 0.14/0.38  TRYING [1,1,1,1,1,1,1,1,1,1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [1,2,1,1,1,1,1,1,1,1]
% 0.14/0.38  TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.38  TRYING [1,3,1,1,1,1,1,1,1,1]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39  TRYING [1,4,1,1,1,1,1,1,1,1]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.42  TRYING [1,5,1,1,1,1,1,1,1,1]
% 0.21/0.43  TRYING [5]
% 0.21/0.44  TRYING [6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.44  TRYING [5]
% 0.21/0.45  TRYING [1,6,1,1,1,1,1,1,1,1]
% 0.21/0.48  TRYING [6]
% 0.21/0.49  TRYING [7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.50  TRYING [6]
% 0.21/0.51  TRYING [1,7,1,1,1,1,1,1,1,1]
% 0.21/0.54  TRYING [8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.54  TRYING [7]
% 1.59/0.57  TRYING [7]
% 1.59/0.57  TRYING [1,8,1,1,1,1,1,1,1,1]
% 2.01/0.63  TRYING [9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 2.01/0.63  TRYING [8]
% 2.14/0.67  TRYING [1,9,1,1,1,1,1,1,1,1]
% 2.14/0.68  TRYING [8]
% 3.02/0.77  TRYING [10,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 3.02/0.78  TRYING [9]
% 3.02/0.81  TRYING [1,10,1,1,1,1,1,1,1,1]
% 3.60/0.87  TRYING [9]
% 4.12/0.94  TRYING [11,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 4.24/0.99  TRYING [10]
% 4.24/1.00  TRYING [1,11,1,1,1,1,1,1,1,1]
% 5.19/1.15  TRYING [10]
% 5.77/1.17  TRYING [12,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 6.30/1.27  TRYING [1,12,1,1,1,1,1,1,1,1]
% 6.30/1.29  TRYING [11]
% 6.79/1.36  % (32152)First to succeed.
% 6.79/1.37  % (32152)Refutation found. Thanks to Tanya!
% 6.79/1.37  % SZS status Unsatisfiable for theBenchmark
% 6.79/1.37  % SZS output start Proof for theBenchmark
% See solution above
% 6.79/1.37  % (32152)------------------------------
% 6.79/1.37  % (32152)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 6.79/1.37  % (32152)Termination reason: Refutation
% 6.79/1.37  
% 6.79/1.37  % (32152)Memory used [KB]: 10255
% 6.79/1.37  % (32152)Time elapsed: 0.998 s
% 6.79/1.37  % (32152)Instructions burned: 3671 (million)
% 6.79/1.37  % (32152)------------------------------
% 6.79/1.37  % (32152)------------------------------
% 6.79/1.37  % (32146)Success in time 1.001 s
%------------------------------------------------------------------------------