TSTP Solution File: SYN695-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN695-1 : 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 : Sun May  5 12:11:57 EDT 2024

% Result   : Unsatisfiable 7.45s 1.45s
% Output   : Refutation 7.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   8 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   29 (  15   ~;  14   |;   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   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f30315,plain,
    $false,
    inference(subsumption_resolution,[],[f30313,f55]) ).

fof(f55,axiom,
    ~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_55) ).

fof(f30313,plain,
    p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference(resolution,[],[f2673,f18]) ).

fof(f18,axiom,
    p2(c44,c45),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).

fof(f2673,plain,
    ! [X0] :
      ( ~ p2(c44,X0)
      | p2(f11(f4(X0),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
    inference(resolution,[],[f629,f254]) ).

fof(f254,plain,
    p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference(resolution,[],[f142,f12]) ).

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

fof(f142,plain,
    ! [X0] :
      ( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0)
      | p2(f11(f4(c44),c43),X0) ),
    inference(resolution,[],[f54,f41]) ).

fof(f41,axiom,
    ! [X44,X45,X5] :
      ( ~ p2(X5,X44)
      | ~ p2(X5,X45)
      | p2(X44,X45) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_41) ).

fof(f54,axiom,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_54) ).

fof(f629,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p2(f11(f4(X0),X2),X3)
      | ~ p2(X0,X1)
      | p2(f11(f4(X1),X2),X3) ),
    inference(resolution,[],[f225,f7]) ).

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

fof(f225,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p10(X0,X1)
      | ~ p2(X2,X3)
      | ~ p2(f11(f4(X2),X0),X4)
      | p2(f11(f4(X3),X1),X4) ),
    inference(resolution,[],[f161,f41]) ).

fof(f161,plain,
    ! [X2,X3,X0,X1] :
      ( p2(f11(f4(X2),X0),f11(f4(X3),X1))
      | ~ p10(X0,X1)
      | ~ p2(X2,X3) ),
    inference(resolution,[],[f61,f30]) ).

fof(f30,axiom,
    ! [X22,X23] :
      ( p3(f4(X22),f4(X23))
      | ~ p2(X22,X23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_30) ).

fof(f61,axiom,
    ! [X82,X83,X84,X85] :
      ( ~ p3(X82,X84)
      | ~ p10(X83,X85)
      | p2(f11(X82,X83),f11(X84,X85)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_61) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN695-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n019.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   : Fri May  3 17:40:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (8470)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (8475)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (8473)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  % (8476)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (8472)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (8477)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  % (8471)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 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,2,1,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]
% 0.21/0.38  % (8474)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.38  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.38  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.38  Detected maximum model sizes of [1,max,max,max,2,1,max,max,max,max,max]
% 0.21/0.38  TRYING [1,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.38  TRYING [1,2,1,1,1,1,1,1,1,1,1]
% 0.21/0.39  TRYING [3]
% 0.21/0.39  TRYING [1,3,1,1,1,1,1,1,1,1,1]
% 0.21/0.39  TRYING [3]
% 0.21/0.39  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]
% 0.21/0.40  TRYING [1,4,1,1,1,1,1,1,1,1,1]
% 0.21/0.40  TRYING [4]
% 0.21/0.41  TRYING [4]
% 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]
% 0.21/0.43  TRYING [5]
% 0.21/0.43  TRYING [1,3,1,1,2,1,1,1,1,1,1]
% 0.21/0.44  TRYING [1,4,1,1,2,1,1,1,1,1,1]
% 0.21/0.44  TRYING [5]
% 0.21/0.45  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 [1,5,1,1,1,1,1,1,1,1,1]
% 0.21/0.47  TRYING [6]
% 0.21/0.49  TRYING [1,5,1,1,2,1,1,1,1,1,1]
% 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]
% 0.21/0.50  TRYING [6]
% 0.21/0.52  TRYING [1,6,1,1,1,1,1,1,1,1,1]
% 1.29/0.53  TRYING [5,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.42/0.55  TRYING [7]
% 1.42/0.57  TRYING [1,6,1,1,2,1,1,1,1,1,1]
% 1.42/0.57  TRYING [7]
% 1.42/0.60  TRYING [6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.90/0.64  TRYING [1,7,1,1,1,1,1,1,1,1,1]
% 1.90/0.67  TRYING [8]
% 2.21/0.68  TRYING [6,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 2.21/0.73  TRYING [7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 2.21/0.73  TRYING [8]
% 2.83/0.78  TRYING [1,7,1,1,2,1,1,1,1,1,1]
% 3.20/0.83  TRYING [7,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 3.40/0.85  TRYING [9]
% 3.40/0.86  TRYING [1,8,1,1,1,1,1,1,1,1,1]
% 3.40/0.92  TRYING [9]
% 3.97/0.94  TRYING [8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 4.32/0.98  TRYING [1,8,1,1,2,1,1,1,1,1,1]
% 4.98/1.09  TRYING [10]
% 4.98/1.09  TRYING [8,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 4.98/1.11  TRYING [1,9,1,1,1,1,1,1,1,1,1]
% 5.55/1.19  TRYING [10]
% 5.55/1.21  TRYING [9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 6.32/1.32  TRYING [1,10,1,1,1,1,1,1,1,1,1]
% 6.81/1.36  TRYING [9,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 7.45/1.43  TRYING [11]
% 7.45/1.45  % (8476)First to succeed.
% 7.45/1.45  % (8476)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8470"
% 7.45/1.45  % (8476)Refutation found. Thanks to Tanya!
% 7.45/1.45  % SZS status Unsatisfiable for theBenchmark
% 7.45/1.45  % SZS output start Proof for theBenchmark
% See solution above
% 7.45/1.45  % (8476)------------------------------
% 7.45/1.45  % (8476)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 7.45/1.45  % (8476)Termination reason: Refutation
% 7.45/1.45  
% 7.45/1.45  % (8476)Memory used [KB]: 9816
% 7.45/1.45  % (8476)Time elapsed: 1.075 s
% 7.45/1.45  % (8476)Instructions burned: 3450 (million)
% 7.45/1.45  % (8470)Success in time 1.071 s
%------------------------------------------------------------------------------