TSTP Solution File: LCL191-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL191-1 : 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 : n004.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 13:40:50 EDT 2024

% Result   : Unsatisfiable 48.51s 14.70s
% Output   : Refutation 48.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   43 (  24 unt;   0 def)
%            Number of atoms       :   64 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   43 (  22   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    8 (   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   :  144 ( 144   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f120319,plain,
    $false,
    inference(resolution,[],[f120315,f9]) ).

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

fof(f120315,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X1),X2))),
    inference(resolution,[],[f120300,f4]) ).

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

fof(f120300,plain,
    ! [X2,X3,X0,X1] :
      ( ~ axiom(or(not(X0),or(X1,or(X2,X3))))
      | theorem(or(not(X0),or(or(X2,X1),X3))) ),
    inference(resolution,[],[f120296,f8]) ).

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

fof(f120296,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(or(X1,X0),X2))),
    inference(resolution,[],[f120292,f3]) ).

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

fof(f120292,plain,
    ! [X2,X3,X0,X1] :
      ( ~ axiom(or(not(X0),or(or(X1,X2),X3)))
      | theorem(or(not(X0),or(or(X1,X3),X2))) ),
    inference(resolution,[],[f120291,f8]) ).

fof(f120291,plain,
    ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(or(X0,X2),X1))),
    inference(resolution,[],[f113213,f2]) ).

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

fof(f113213,plain,
    ! [X2,X3,X0,X1] :
      ( ~ axiom(or(not(X0),or(X1,or(or(X1,X2),X3))))
      | theorem(or(not(X0),or(or(X1,X3),X2))) ),
    inference(resolution,[],[f113210,f8]) ).

fof(f113210,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X2))),or(or(X0,X2),X1))),
    inference(resolution,[],[f103515,f4]) ).

fof(f103515,plain,
    ! [X2,X3,X0,X1] :
      ( ~ axiom(or(not(X0),or(or(X1,X2),or(X1,X3))))
      | theorem(or(not(X0),or(or(X1,X3),X2))) ),
    inference(resolution,[],[f103509,f8]) ).

fof(f103509,plain,
    ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X2))),or(or(X0,X2),X1))),
    inference(resolution,[],[f92410,f3]) ).

fof(f92410,plain,
    ! [X2,X3,X0,X1] :
      ( ~ axiom(or(not(X0),or(or(X1,X2),or(X1,X3))))
      | theorem(or(not(X0),or(or(X1,X2),X3))) ),
    inference(resolution,[],[f92407,f8]) ).

fof(f92407,plain,
    ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X2))),or(or(X0,X1),X2))),
    inference(resolution,[],[f78758,f4]) ).

fof(f78758,plain,
    ! [X2,X3,X0,X1] :
      ( ~ axiom(or(not(X0),or(X1,or(or(X1,X2),X3))))
      | theorem(or(not(X0),or(or(X1,X2),X3))) ),
    inference(resolution,[],[f78754,f8]) ).

fof(f78754,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X2))),or(or(X0,X1),X2))),
    inference(resolution,[],[f62115,f1]) ).

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

fof(f62115,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ axiom(or(not(or(or(not(or(X1,X2)),or(or(X1,X3),X4)),or(X5,X2))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f62111,f7]) ).

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

fof(f62111,plain,
    ! [X2,X3,X0,X1,X4] : theorem(or(or(not(or(X0,X1)),or(or(X0,X2),X3)),or(X4,X1))),
    inference(resolution,[],[f15142,f4]) ).

fof(f15142,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ axiom(or(not(or(X1,or(or(not(or(X2,X3)),or(or(X2,X4),X5)),X3))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f15140,f7]) ).

fof(f15140,plain,
    ! [X2,X3,X0,X1,X4] : theorem(or(X0,or(or(not(or(X1,X2)),or(or(X1,X3),X4)),X2))),
    inference(resolution,[],[f12193,f2]) ).

fof(f12193,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ axiom(or(not(or(or(not(or(X1,X2)),or(or(X1,X3),X4)),X2)),X0))
      | theorem(X0) ),
    inference(resolution,[],[f12190,f7]) ).

fof(f12190,plain,
    ! [X2,X3,X0,X1] : theorem(or(or(not(or(X0,X1)),or(or(X0,X2),X3)),X1)),
    inference(resolution,[],[f8497,f3]) ).

fof(f8497,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ axiom(or(not(or(X1,or(not(or(X2,X1)),or(or(X2,X3),X4)))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f8493,f7]) ).

fof(f8493,plain,
    ! [X2,X3,X0,X1] : theorem(or(X0,or(not(or(X1,X0)),or(or(X1,X2),X3)))),
    inference(resolution,[],[f6025,f4]) ).

fof(f6025,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ axiom(or(not(or(not(or(X1,X2)),or(X2,or(or(X1,X3),X4)))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f6019,f7]) ).

fof(f6019,plain,
    ! [X2,X3,X0,X1] : theorem(or(not(or(X0,X1)),or(X1,or(or(X0,X2),X3)))),
    inference(resolution,[],[f955,f3]) ).

fof(f955,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ axiom(or(not(X0),or(X1,X2)))
      | theorem(or(not(X0),or(X1,or(or(X2,X3),X4)))) ),
    inference(resolution,[],[f945,f8]) ).

fof(f945,plain,
    ! [X2,X3,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(or(X1,X2),X3)))),
    inference(resolution,[],[f933,f5]) ).

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

fof(f933,plain,
    ! [X2,X3,X0,X1] :
      ( ~ axiom(or(not(or(not(X1),or(or(X1,X2),X3))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f931,f7]) ).

fof(f931,plain,
    ! [X2,X0,X1] : theorem(or(not(X0),or(or(X0,X1),X2))),
    inference(resolution,[],[f177,f2]) ).

fof(f177,plain,
    ! [X2,X3,X0,X1] :
      ( ~ axiom(or(not(X0),or(X1,X2)))
      | theorem(or(not(X0),or(or(X2,X1),X3))) ),
    inference(resolution,[],[f169,f8]) ).

fof(f169,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X1,X0),X2))),
    inference(resolution,[],[f166,f3]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(or(not(X0),X1))
      | theorem(or(not(X0),or(X1,X2))) ),
    inference(resolution,[],[f165,f8]) ).

fof(f165,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
    inference(resolution,[],[f73,f2]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(or(not(X0),or(X1,X2)))
      | theorem(or(not(X0),or(X2,X1))) ),
    inference(resolution,[],[f8,f12]) ).

fof(f12,plain,
    ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(resolution,[],[f3,f6]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.18  % Problem    : LCL191-1 : TPTP v8.1.2. Released v1.1.0.
% 0.11/0.20  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.41  % Computer : n004.cluster.edu
% 0.13/0.41  % Model    : x86_64 x86_64
% 0.13/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41  % Memory   : 8042.1875MB
% 0.13/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.41  % CPULimit   : 300
% 0.13/0.41  % WCLimit    : 300
% 0.13/0.41  % DateTime   : Mon Apr 29 23:00:18 EDT 2024
% 0.13/0.41  % CPUTime    : 
% 0.13/0.41  % (18606)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.46  % (18612)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.19/0.46  % (18607)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.19/0.46  TRYING [1]
% 0.19/0.46  TRYING [2]
% 0.19/0.47  % (18610)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.19/0.47  TRYING [1]
% 0.19/0.47  TRYING [2]
% 0.19/0.48  % (18608)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.48  % (18613)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)
% 0.19/0.48  TRYING [1]
% 0.19/0.48  TRYING [2]
% 0.19/0.48  TRYING [1]
% 0.19/0.48  TRYING [3]
% 0.19/0.48  TRYING [2]
% 0.19/0.49  TRYING [3]
% 0.19/0.49  % (18611)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.19/0.49  TRYING [3]
% 0.19/0.50  % (18609)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)
% 0.19/0.51  TRYING [3]
% 0.19/0.54  TRYING [4]
% 0.19/0.54  TRYING [4]
% 0.19/0.55  TRYING [4]
% 0.19/0.59  TRYING [4]
% 2.10/1.49  TRYING [5]
% 3.40/2.12  TRYING [5]
% 3.40/2.13  TRYING [5]
% 3.60/2.27  TRYING [5]
% 12.64/5.75  TRYING [6]
% 14.27/6.25  TRYING [6]
% 18.10/7.59  TRYING [6]
% 18.91/7.82  TRYING [6]
% 48.51/14.69  % (18611)First to succeed.
% 48.51/14.70  % (18611)Refutation found. Thanks to Tanya!
% 48.51/14.70  % SZS status Unsatisfiable for theBenchmark
% 48.51/14.70  % SZS output start Proof for theBenchmark
% See solution above
% 48.51/14.70  % (18611)------------------------------
% 48.51/14.70  % (18611)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 48.51/14.70  % (18611)Termination reason: Refutation
% 48.51/14.70  
% 48.51/14.70  % (18611)Memory used [KB]: 55308
% 48.51/14.70  % (18611)Time elapsed: 14.262 s
% 48.51/14.70  % (18611)Instructions burned: 11622 (million)
% 48.51/14.70  % (18611)------------------------------
% 48.51/14.70  % (18611)------------------------------
% 48.51/14.70  % (18606)Success in time 14.226 s
%------------------------------------------------------------------------------