TSTP Solution File: LCL359-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL359-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.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 07:45:26 EDT 2024

% Result   : Unsatisfiable 5.18s 1.15s
% Output   : Refutation 5.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  11   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   6 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16951,plain,
    $false,
    inference(resolution,[],[f3585,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(implies(x,y),implies(implies(z,x),implies(implies(y,u),implies(z,u))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_08) ).

fof(f3585,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(implies(X1,X3),implies(X2,X3))))),
    inference(resolution,[],[f309,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).

fof(f309,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(X0,implies(X3,implies(X2,X4))))
      | is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,implies(X1,X4))))) ),
    inference(resolution,[],[f46,f20]) ).

fof(f20,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
      | ~ is_a_theorem(implies(X0,implies(X3,X1))) ),
    inference(resolution,[],[f18,f2]) ).

fof(f18,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X2))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f8,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f8,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
      | ~ is_a_theorem(implies(X2,X0)) ),
    inference(resolution,[],[f2,f1]) ).

fof(f46,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(X3,X2)),X4)))
      | is_a_theorem(implies(X0,implies(implies(X3,X1),X4))) ),
    inference(resolution,[],[f21,f2]) ).

fof(f21,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X3))
      | ~ is_a_theorem(implies(X0,implies(X3,X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f18,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL359-1 : TPTP v8.1.2. Released v2.3.0.
% 0.14/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 13:22:31 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (25549)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.36  % (25556)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.37  % (25551)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37  % (25553)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)
% 0.20/0.37  % (25554)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.37  % (25552)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37  % (25557)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [3]
% 0.20/0.37  TRYING [3]
% 0.20/0.37  TRYING [3]
% 0.20/0.37  % (25558)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)
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.38  TRYING [3]
% 0.20/0.39  TRYING [4]
% 0.20/0.39  TRYING [4]
% 0.20/0.39  TRYING [4]
% 0.20/0.40  TRYING [4]
% 2.65/0.73  TRYING [5]
% 2.95/0.81  TRYING [5]
% 2.95/0.81  TRYING [5]
% 2.95/0.82  TRYING [5]
% 5.18/1.14  % (25557)First to succeed.
% 5.18/1.14  % (25557)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25549"
% 5.18/1.15  % (25557)Refutation found. Thanks to Tanya!
% 5.18/1.15  % SZS status Unsatisfiable for theBenchmark
% 5.18/1.15  % SZS output start Proof for theBenchmark
% See solution above
% 5.18/1.15  % (25557)------------------------------
% 5.18/1.15  % (25557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.18/1.15  % (25557)Termination reason: Refutation
% 5.18/1.15  
% 5.18/1.15  % (25557)Memory used [KB]: 5995
% 5.18/1.15  % (25557)Time elapsed: 0.779 s
% 5.18/1.15  % (25557)Instructions burned: 1381 (million)
% 5.18/1.15  % (25549)Success in time 0.785 s
%------------------------------------------------------------------------------