TSTP Solution File: LCL356-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL356-1 : 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 : n031.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 13:41:48 EDT 2024

% Result   : Unsatisfiable 0.12s 0.38s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  11   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 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   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f363,plain,
    $false,
    inference(resolution,[],[f318,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(f318,plain,
    ~ is_a_theorem(implies(implies(u,y),implies(implies(y,z),implies(u,z)))),
    inference(resolution,[],[f52,f2]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(implies(x,implies(y,z)),implies(X0,implies(x,implies(u,z)))))
      | ~ is_a_theorem(implies(implies(u,y),X0)) ),
    inference(resolution,[],[f21,f8]) ).

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(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(f21,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(X0,implies(implies(u,y),implies(x,implies(u,z)))))
      | ~ is_a_theorem(implies(implies(x,implies(y,z)),X0)) ),
    inference(resolution,[],[f18,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_05) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : LCL356-1 : TPTP v8.1.2. Released v2.3.0.
% 0.06/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.35  % Computer : n031.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Mon Apr 29 23:27:58 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.12/0.36  % (10558)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.37  % (10565)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.37  % (10560)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.37  % (10561)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)
% 0.12/0.37  % (10564)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.37  % (10563)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.37  % (10566)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)
% 0.12/0.37  TRYING [1]
% 0.12/0.37  TRYING [1]
% 0.12/0.37  TRYING [1]
% 0.12/0.37  TRYING [2]
% 0.12/0.37  TRYING [2]
% 0.12/0.37  TRYING [2]
% 0.12/0.37  % (10559)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.37  TRYING [3]
% 0.12/0.37  TRYING [3]
% 0.12/0.37  TRYING [3]
% 0.12/0.38  TRYING [1]
% 0.12/0.38  TRYING [2]
% 0.12/0.38  TRYING [3]
% 0.12/0.38  % (10561)First to succeed.
% 0.12/0.38  % (10561)Refutation found. Thanks to Tanya!
% 0.12/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.38  % (10561)------------------------------
% 0.12/0.38  % (10561)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.38  % (10561)Termination reason: Refutation
% 0.12/0.38  
% 0.12/0.38  % (10561)Memory used [KB]: 917
% 0.12/0.38  % (10561)Time elapsed: 0.011 s
% 0.12/0.38  % (10561)Instructions burned: 20 (million)
% 0.12/0.38  % (10561)------------------------------
% 0.12/0.38  % (10561)------------------------------
% 0.12/0.38  % (10558)Success in time 0.026 s
%------------------------------------------------------------------------------