TSTP Solution File: LCL222-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL222-1 : 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 : n023.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 07:44:38 EDT 2024

% Result   : Unsatisfiable 270.71s 39.15s
% Output   : Refutation 270.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   33 (  19 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (  17   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   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   :   85 (  85   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f420098,plain,
    $false,
    inference(resolution,[],[f420095,f9]) ).

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

fof(f420095,plain,
    ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(or(X1,X0),X2)),or(X1,X2)))),
    inference(resolution,[],[f346376,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(f346376,plain,
    ! [X2,X3,X0,X1] :
      ( ~ axiom(or(not(or(not(or(or(X1,X2),X3)),or(not(or(not(X2),X1)),or(X1,X3)))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f346370,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(f346370,plain,
    ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(not(or(not(X1),X0)),or(X0,X2)))),
    inference(resolution,[],[f268626,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(f268626,plain,
    ! [X2,X3,X0,X1] :
      ( ~ axiom(or(not(X0),or(X1,or(X2,X3))))
      | theorem(or(not(X0),or(not(or(not(X3),X2)),or(X2,X1)))) ),
    inference(resolution,[],[f268623,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(f268623,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(not(or(not(X2),X1)),or(X1,X0)))),
    inference(resolution,[],[f212955,f4]) ).

fof(f212955,plain,
    ! [X2,X3,X0,X1] :
      ( ~ axiom(or(not(or(not(or(not(X1),X2)),or(not(or(X3,or(X2,X1))),or(X2,X3)))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f212948,f7]) ).

fof(f212948,plain,
    ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,or(X1,X0))),or(X1,X2)))),
    inference(resolution,[],[f36843,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(f36843,plain,
    ! [X2,X3,X0,X1] :
      ( ~ axiom(or(not(X0),or(not(X1),or(X2,X2))))
      | theorem(or(not(X0),or(not(or(X3,X1)),or(X2,X3)))) ),
    inference(resolution,[],[f36837,f8]) ).

fof(f36837,plain,
    ! [X2,X0,X1] : theorem(or(not(or(not(X0),or(X1,X1))),or(not(or(X2,X0)),or(X1,X2)))),
    inference(resolution,[],[f4705,f5]) ).

fof(f4705,plain,
    ! [X2,X3,X0,X1] :
      ( ~ axiom(or(not(X0),or(X1,or(X2,or(X3,X3)))))
      | theorem(or(not(X0),or(X1,or(X3,X2)))) ),
    inference(resolution,[],[f4696,f8]) ).

fof(f4696,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,or(X2,X2)))),or(X0,or(X2,X1)))),
    inference(resolution,[],[f4660,f5]) ).

fof(f4660,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(or(not(or(not(or(X1,or(X2,X2))),or(X2,X1))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f4655,f7]) ).

fof(f4655,plain,
    ! [X0,X1] : theorem(or(not(or(X0,or(X1,X1))),or(X1,X0))),
    inference(resolution,[],[f4641,f4]) ).

fof(f4641,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(or(not(X0),or(X1,or(X2,X1))))
      | theorem(or(not(X0),or(X1,X2))) ),
    inference(resolution,[],[f4637,f8]) ).

fof(f4637,plain,
    ! [X0,X1] : theorem(or(not(or(X0,or(X1,X0))),or(X0,X1))),
    inference(resolution,[],[f4633,f3]) ).

fof(f4633,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(or(not(X0),or(or(X1,X2),X2)))
      | theorem(or(not(X0),or(X2,X1))) ),
    inference(resolution,[],[f4632,f8]) ).

fof(f4632,plain,
    ! [X0,X1] : theorem(or(not(or(or(X0,X1),X1)),or(X1,X0))),
    inference(resolution,[],[f1449,f2]) ).

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

fof(f1449,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(or(not(X0),or(X1,or(or(X1,X2),X2))))
      | theorem(or(not(X0),or(X2,X1))) ),
    inference(resolution,[],[f1446,f8]) ).

fof(f1446,plain,
    ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X1,X0))),
    inference(resolution,[],[f215,f4]) ).

fof(f215,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(or(not(X0),or(or(X1,X2),or(X1,X2))))
      | theorem(or(not(X0),or(X2,X1))) ),
    inference(resolution,[],[f163,f8]) ).

fof(f163,plain,
    ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X1,X0))),
    inference(resolution,[],[f73,f1]) ).

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

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
% 0.12/0.13  % Problem    : LCL222-1 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 14:08:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  % (26019)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (26020)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (26021)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (26022)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)
% 0.14/0.38  % (26024)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (26025)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (26026)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  % (26023)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [3]
% 0.14/0.42  TRYING [4]
% 0.14/0.42  TRYING [4]
% 0.22/0.42  TRYING [4]
% 0.22/0.42  TRYING [4]
% 2.91/0.85  TRYING [5]
% 3.57/0.85  TRYING [5]
% 3.57/0.86  TRYING [5]
% 4.62/1.03  TRYING [5]
% 22.31/3.62  TRYING [6]
% 23.30/3.68  TRYING [6]
% 23.30/3.70  TRYING [6]
% 25.41/4.01  TRYING [6]
% 151.53/22.09  % (26025)Time limit reached!
% 151.53/22.09  % (26025)------------------------------
% 151.53/22.09  % (26025)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 151.53/22.09  % (26025)Termination reason: Time limit
% 151.53/22.09  % (26025)Termination phase: Saturation
% 151.53/22.09  
% 151.53/22.09  % (26025)Memory used [KB]: 57821
% 151.53/22.09  % (26025)Time elapsed: 21.700 s
% 151.53/22.09  % (26025)Instructions burned: 38086 (million)
% 151.53/22.09  % (26025)------------------------------
% 151.53/22.09  % (26025)------------------------------
% 151.53/22.11  % (26122)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)
% 151.53/22.11  TRYING [1]
% 151.53/22.11  TRYING [2]
% 151.53/22.12  TRYING [3]
% 152.04/22.14  TRYING [4]
% 156.22/22.73  TRYING [5]
% 176.20/25.60  TRYING [6]
% 258.05/37.39  TRYING [7]
% 260.31/37.65  TRYING [7]
% 261.19/37.78  TRYING [7]
% 270.36/39.11  % (26024)First to succeed.
% 270.71/39.13  % (26024)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26019"
% 270.71/39.15  % (26024)Refutation found. Thanks to Tanya!
% 270.71/39.15  % SZS status Unsatisfiable for theBenchmark
% 270.71/39.15  % SZS output start Proof for theBenchmark
% See solution above
% 270.71/39.15  % (26024)------------------------------
% 270.71/39.15  % (26024)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 270.71/39.15  % (26024)Termination reason: Refutation
% 270.71/39.15  
% 270.71/39.15  % (26024)Memory used [KB]: 190744
% 270.71/39.15  % (26024)Time elapsed: 38.735 s
% 270.71/39.15  % (26024)Instructions burned: 59488 (million)
% 270.71/39.15  % (26019)Success in time 38.774 s
%------------------------------------------------------------------------------