TSTP Solution File: LCL030-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL030-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n016.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 07:43:50 EDT 2024

% Result   : Unsatisfiable 188.59s 27.33s
% Output   : Refutation 188.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   34 (  24 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  12   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   93 (  93   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f994916,plain,
    $false,
    inference(resolution,[],[f790048,f6]) ).

fof(f6,axiom,
    ~ is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_6) ).

fof(f790048,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    inference(resolution,[],[f463025,f7962]) ).

fof(f7962,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(X0,X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f4555,f1]) ).

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

fof(f4555,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    inference(resolution,[],[f2816,f544]) ).

fof(f544,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(implies(X1,X3),implies(X0,X3)),X2))
      | is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(resolution,[],[f42,f1]) ).

fof(f42,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
    inference(resolution,[],[f31,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_1) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X2,X0))
      | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
    inference(resolution,[],[f2,f1]) ).

fof(f2816,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
    inference(resolution,[],[f2777,f31]) ).

fof(f2777,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
    inference(resolution,[],[f2094,f45]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X2,X0),X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f34,f1]) ).

fof(f34,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(resolution,[],[f31,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_2) ).

fof(f2094,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X1))),
    inference(resolution,[],[f544,f1434]) ).

fof(f1434,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
    inference(resolution,[],[f1318,f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,X1),X0))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_3) ).

fof(f1318,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2)))),
    inference(resolution,[],[f738,f42]) ).

fof(f738,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(implies(implies(X2,X3),X2),X2),X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f40,f1]) ).

fof(f40,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),X0),X2),implies(X3,X2))),
    inference(resolution,[],[f31,f14]) ).

fof(f14,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
    inference(resolution,[],[f4,f8]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X1)
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f1,f3]) ).

fof(f463025,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))),
    inference(resolution,[],[f293095,f544]) ).

fof(f293095,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X1,X0),implies(X1,X2)))),
    inference(resolution,[],[f12592,f7962]) ).

fof(f12592,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,implies(X0,X2)),implies(X0,X2)))),
    inference(resolution,[],[f1098,f4189]) ).

fof(f4189,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0))),
    inference(resolution,[],[f2072,f544]) ).

fof(f2072,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X1)),implies(X0,X1))),
    inference(resolution,[],[f544,f1523]) ).

fof(f1523,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),X0),X2),X2)),
    inference(resolution,[],[f1467,f40]) ).

fof(f1467,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X0,X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f1434,f1]) ).

fof(f1098,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(implies(implies(X0,X3),X0),X1),X2))
      | is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(resolution,[],[f77,f1]) ).

fof(f77,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),X2),X3),implies(implies(X0,X2),X3))),
    inference(resolution,[],[f41,f31]) ).

fof(f41,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1))),
    inference(resolution,[],[f31,f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : LCL030-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 14:18:30 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  % (19652)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.36  % (19656)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.18/0.36  TRYING [1]
% 0.18/0.36  TRYING [2]
% 0.18/0.36  % (19659)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)
% 0.18/0.36  TRYING [3]
% 0.18/0.36  % (19658)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.18/0.36  % (19655)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)
% 0.18/0.36  % (19654)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.36  % (19657)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.18/0.36  TRYING [1]
% 0.18/0.36  TRYING [2]
% 0.18/0.36  TRYING [1]
% 0.18/0.36  TRYING [2]
% 0.18/0.36  TRYING [3]
% 0.18/0.36  TRYING [3]
% 0.18/0.36  % (19653)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.18/0.36  TRYING [4]
% 0.18/0.36  TRYING [1]
% 0.18/0.36  TRYING [2]
% 0.18/0.36  TRYING [3]
% 0.18/0.36  TRYING [4]
% 0.18/0.36  TRYING [4]
% 0.18/0.37  TRYING [4]
% 0.18/0.38  TRYING [5]
% 0.18/0.38  TRYING [5]
% 0.18/0.38  TRYING [5]
% 0.18/0.39  TRYING [5]
% 0.18/0.46  TRYING [6]
% 0.18/0.47  TRYING [6]
% 0.18/0.49  TRYING [6]
% 0.18/0.50  TRYING [6]
% 3.04/0.79  TRYING [7]
% 4.31/0.96  TRYING [7]
% 4.31/0.96  TRYING [7]
% 4.31/1.00  TRYING [7]
% 13.65/2.29  TRYING [8]
% 13.65/2.33  TRYING [8]
% 13.65/2.33  TRYING [8]
% 13.65/2.35  TRYING [8]
% 49.30/7.44  TRYING [9]
% 51.86/7.82  TRYING [9]
% 53.10/8.00  TRYING [9]
% 53.71/8.06  TRYING [9]
% 151.80/22.05  % (19658)Time limit reached!
% 151.80/22.05  % (19658)------------------------------
% 151.80/22.05  % (19658)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 151.80/22.05  % (19658)Termination reason: Time limit
% 151.80/22.05  % (19658)Termination phase: Saturation
% 151.80/22.05  
% 151.80/22.05  % (19658)Memory used [KB]: 94006
% 151.80/22.05  % (19658)Time elapsed: 21.700 s
% 151.80/22.05  % (19658)Instructions burned: 60631 (million)
% 151.80/22.05  % (19658)------------------------------
% 151.80/22.05  % (19658)------------------------------
% 151.80/22.06  % (19943)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 151.80/22.07  TRYING [1]
% 151.80/22.07  TRYING [2]
% 151.80/22.07  TRYING [3]
% 151.80/22.07  TRYING [4]
% 151.80/22.08  TRYING [5]
% 152.34/22.14  TRYING [6]
% 154.39/22.41  TRYING [7]
% 161.54/23.46  TRYING [8]
% 188.59/27.31  % (19657)First to succeed.
% 188.59/27.31  % (19657)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19652"
% 188.59/27.33  % (19657)Refutation found. Thanks to Tanya!
% 188.59/27.33  % SZS status Unsatisfiable for theBenchmark
% 188.59/27.33  % SZS output start Proof for theBenchmark
% See solution above
% 188.59/27.33  % (19657)------------------------------
% 188.59/27.33  % (19657)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 188.59/27.33  % (19657)Termination reason: Refutation
% 188.59/27.33  
% 188.59/27.33  % (19657)Memory used [KB]: 268364
% 188.59/27.33  % (19657)Time elapsed: 26.963 s
% 188.59/27.33  % (19657)Instructions burned: 83788 (million)
% 188.59/27.33  % (19652)Success in time 26.943 s
%------------------------------------------------------------------------------