TSTP Solution File: LCL223-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL223-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n003.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 13:41:05 EDT 2024

% Result   : Unsatisfiable 132.36s 19.33s
% Output   : Refutation 132.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   32 (  12 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   59 (  36   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f193540,plain,
    $false,
    inference(resolution,[],[f193537,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f193537,plain,
    ~ axiom(or(not(p),or(r,p))),
    inference(resolution,[],[f193348,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f193348,plain,
    ! [X0] :
      ( ~ axiom(or(not(X0),or(p,r)))
      | ~ axiom(or(not(p),X0)) ),
    inference(resolution,[],[f192743,f6]) ).

fof(f6,axiom,
    ! [X3] :
      ( theorem(X3)
      | ~ axiom(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

fof(f192743,plain,
    ! [X0] :
      ( ~ theorem(or(not(X0),or(p,r)))
      | ~ axiom(or(not(p),X0)) ),
    inference(resolution,[],[f192656,f8]) ).

fof(f8,axiom,
    ! [X3,X4,X5] :
      ( theorem(or(not(X3),X5))
      | ~ axiom(or(not(X3),X4))
      | ~ theorem(or(not(X4),X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_3) ).

fof(f192656,plain,
    ~ theorem(or(not(p),or(p,r))),
    inference(resolution,[],[f192582,f802]) ).

fof(f802,plain,
    ! [X0,X1] :
      ( theorem(or(not(or(X0,X1)),X0))
      | ~ theorem(or(not(X1),X0)) ),
    inference(resolution,[],[f359,f20]) ).

fof(f20,plain,
    ! [X2,X0,X1] :
      ( theorem(or(not(or(X0,X1)),or(X0,X2)))
      | ~ theorem(or(not(X1),X2)) ),
    inference(resolution,[],[f5,f7]) ).

fof(f7,axiom,
    ! [X3,X4] :
      ( ~ axiom(or(not(X4),X3))
      | theorem(X3)
      | ~ theorem(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).

fof(f359,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X0,or(X1,X1)))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f135,f14]) ).

fof(f14,plain,
    ! [X2,X0,X1] :
      ( theorem(or(X0,or(X1,X2)))
      | ~ theorem(or(X1,or(X0,X2))) ),
    inference(resolution,[],[f4,f7]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X1,or(X0,X1)))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f47,f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( theorem(or(X0,X1))
      | ~ theorem(or(X1,X0)) ),
    inference(resolution,[],[f7,f3]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ theorem(or(or(X0,X1),X1))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f31,f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( theorem(or(X0,X1))
      | ~ theorem(X1) ),
    inference(resolution,[],[f7,f2]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X0,or(or(X0,X1),X1)))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f14,f10]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ theorem(or(X0,X0))
      | theorem(X0) ),
    inference(resolution,[],[f7,f1]) ).

fof(f1,axiom,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).

fof(f192582,plain,
    ~ theorem(or(not(or(or(p,r),p)),or(p,r))),
    inference(resolution,[],[f26205,f3]) ).

fof(f26205,plain,
    ! [X0] :
      ( ~ axiom(or(not(or(p,or(p,r))),X0))
      | ~ theorem(or(not(X0),or(p,r))) ),
    inference(resolution,[],[f26197,f8]) ).

fof(f26197,plain,
    ~ theorem(or(not(or(p,or(p,r))),or(p,r))),
    inference(resolution,[],[f4030,f5]) ).

fof(f4030,plain,
    ! [X0] :
      ( ~ axiom(or(not(or(not(q),or(p,r))),or(not(or(p,q)),X0)))
      | ~ theorem(or(not(X0),or(p,r))) ),
    inference(resolution,[],[f1336,f20]) ).

fof(f1336,plain,
    ! [X0] :
      ( ~ theorem(or(not(X0),or(not(or(p,q)),or(p,r))))
      | ~ axiom(or(not(or(not(q),or(p,r))),X0)) ),
    inference(resolution,[],[f226,f4]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( ~ axiom(or(not(or(p,or(not(q),r))),X0))
      | ~ axiom(or(not(X0),X1))
      | ~ theorem(or(not(X1),or(not(or(p,q)),or(p,r)))) ),
    inference(resolution,[],[f67,f8]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ theorem(or(not(X0),or(not(or(p,q)),or(p,r))))
      | ~ axiom(or(not(or(p,or(not(q),r))),X0)) ),
    inference(resolution,[],[f32,f8]) ).

fof(f32,plain,
    ~ theorem(or(not(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r)))),
    inference(resolution,[],[f14,f9]) ).

fof(f9,axiom,
    ~ theorem(or(not(or(p,q)),or(not(or(p,or(not(q),r))),or(p,r)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : LCL223-1 : TPTP v8.1.2. Released v1.1.0.
% 0.10/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n003.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   : Mon Apr 29 22:52:03 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (3417)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (3421)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (3418)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (3420)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  % (3419)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (3423)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (3422)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (3424)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)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [3]
% 0.14/0.41  TRYING [4]
% 0.14/0.41  TRYING [4]
% 0.14/0.41  TRYING [4]
% 0.14/0.41  TRYING [4]
% 2.50/0.74  TRYING [5]
% 2.50/0.74  TRYING [5]
% 2.50/0.75  TRYING [5]
% 2.98/0.81  TRYING [5]
% 14.28/2.40  TRYING [6]
% 14.28/2.40  TRYING [6]
% 14.28/2.44  TRYING [6]
% 14.28/2.45  TRYING [6]
% 132.36/19.32  % (3420)First to succeed.
% 132.36/19.33  % (3420)Refutation found. Thanks to Tanya!
% 132.36/19.33  % SZS status Unsatisfiable for theBenchmark
% 132.36/19.33  % SZS output start Proof for theBenchmark
% See solution above
% 132.36/19.33  % (3420)------------------------------
% 132.36/19.33  % (3420)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 132.36/19.33  % (3420)Termination reason: Refutation
% 132.36/19.33  
% 132.36/19.33  % (3420)Memory used [KB]: 57936
% 132.36/19.33  % (3420)Time elapsed: 18.944 s
% 132.36/19.33  % (3420)Instructions burned: 51326 (million)
% 132.36/19.33  % (3420)------------------------------
% 132.36/19.33  % (3420)------------------------------
% 132.36/19.33  % (3417)Success in time 18.952 s
%------------------------------------------------------------------------------