TSTP Solution File: LCL027-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL027-1 : 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 : n012.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 13:40:15 EDT 2024

% Result   : Unsatisfiable 0.11s 0.34s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  12   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f47,plain,
    $false,
    inference(resolution,[],[f35,f3]) ).

fof(f3,axiom,
    ! [X0] : is_a_theorem(implies(implies(implies(X0,falsehood),falsehood),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_5) ).

fof(f35,plain,
    ! [X0] : ~ is_a_theorem(implies(implies(X0,falsehood),a)),
    inference(resolution,[],[f30,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_2) ).

fof(f30,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(falsehood,X0))
      | ~ is_a_theorem(implies(X0,a)) ),
    inference(resolution,[],[f24,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(falsehood,a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c0_4) ).

fof(f24,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X2,X1)) ),
    inference(resolution,[],[f13,f6]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f1,f2]) ).

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(f13,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f10,f1]) ).

fof(f10,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : LCL027-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n012.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Apr 29 23:00:12 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  % (19969)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33  % (19974)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.33  % (19976)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)
% 0.11/0.33  % (19975)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.33  % (19972)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)
% 0.11/0.33  TRYING [1]
% 0.11/0.33  TRYING [2]
% 0.11/0.33  % (19971)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34  % (19970)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34  TRYING [3]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  % (19973)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34  % (19972)First to succeed.
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [3]
% 0.11/0.34  % (19972)Refutation found. Thanks to Tanya!
% 0.11/0.34  % SZS status Unsatisfiable for theBenchmark
% 0.11/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34  % (19972)------------------------------
% 0.11/0.34  % (19972)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.34  % (19972)Termination reason: Refutation
% 0.11/0.34  
% 0.11/0.34  % (19972)Memory used [KB]: 755
% 0.11/0.34  % (19972)Time elapsed: 0.003 s
% 0.11/0.34  % (19972)Instructions burned: 3 (million)
% 0.11/0.34  % (19972)------------------------------
% 0.11/0.34  % (19972)------------------------------
% 0.11/0.34  % (19969)Success in time 0.015 s
%------------------------------------------------------------------------------