TSTP Solution File: LCL224-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL224-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n011.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 : Fri Sep  1 17:19:28 EDT 2023

% Result   : Unsatisfiable 5.94s 1.28s
% Output   : Refutation 5.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   31 (  11 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   58 (  35   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    6 (   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(f20871,plain,
    $false,
    inference(resolution,[],[f20868,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    file('/export/starexec/sandbox/tmp/tmp.DBOQS4YVmk/Vampire---4.8_32551',axiom_1_3) ).

fof(f20868,plain,
    ~ axiom(or(not(p),or(r,p))),
    inference(resolution,[],[f20654,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    file('/export/starexec/sandbox/tmp/tmp.DBOQS4YVmk/Vampire---4.8_32551',axiom_1_4) ).

fof(f20654,plain,
    ! [X26] :
      ( ~ axiom(or(not(X26),or(p,r)))
      | ~ axiom(or(not(p),X26)) ),
    inference(resolution,[],[f19722,f6]) ).

fof(f6,axiom,
    ! [X3] :
      ( theorem(X3)
      | ~ axiom(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.DBOQS4YVmk/Vampire---4.8_32551',rule_1) ).

fof(f19722,plain,
    ! [X8] :
      ( ~ theorem(or(not(X8),or(p,r)))
      | ~ axiom(or(not(p),X8)) ),
    inference(resolution,[],[f19685,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/sandbox/tmp/tmp.DBOQS4YVmk/Vampire---4.8_32551',rule_3) ).

fof(f19685,plain,
    ~ theorem(or(not(p),or(p,r))),
    inference(resolution,[],[f19611,f656]) ).

fof(f656,plain,
    ! [X4,X5] :
      ( theorem(or(not(or(X4,X5)),X4))
      | ~ theorem(or(not(X5),X4)) ),
    inference(resolution,[],[f337,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/sandbox/tmp/tmp.DBOQS4YVmk/Vampire---4.8_32551',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/sandbox/tmp/tmp.DBOQS4YVmk/Vampire---4.8_32551',axiom_1_6) ).

fof(f337,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X0,or(X1,X1)))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f129,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/sandbox/tmp/tmp.DBOQS4YVmk/Vampire---4.8_32551',axiom_1_5) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X1,or(X0,X1)))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f54,f11]) ).

fof(f11,plain,
    ! [X2,X1] :
      ( theorem(or(X1,X2))
      | ~ theorem(or(X2,X1)) ),
    inference(resolution,[],[f7,f3]) ).

fof(f54,plain,
    ! [X4,X5] :
      ( ~ theorem(or(or(X4,X5),X5))
      | theorem(or(X4,X5)) ),
    inference(resolution,[],[f31,f12]) ).

fof(f12,plain,
    ! [X3,X4] :
      ( theorem(or(X3,X4))
      | ~ theorem(X4) ),
    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/sandbox/tmp/tmp.DBOQS4YVmk/Vampire---4.8_32551',axiom_1_2) ).

fof(f19611,plain,
    ~ theorem(or(not(or(or(p,r),p)),or(p,r))),
    inference(resolution,[],[f1173,f3]) ).

fof(f1173,plain,
    ! [X0] :
      ( ~ axiom(or(not(or(p,or(p,r))),X0))
      | ~ theorem(or(not(X0),or(p,r))) ),
    inference(resolution,[],[f828,f8]) ).

fof(f828,plain,
    ~ theorem(or(not(or(p,or(p,r))),or(p,r))),
    inference(resolution,[],[f227,f5]) ).

fof(f227,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,[],[f97,f20]) ).

fof(f97,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,[],[f45,f4]) ).

fof(f45,plain,
    ! [X2,X3] :
      ( ~ axiom(or(not(or(p,or(not(q),r))),X2))
      | ~ axiom(or(not(X2),X3))
      | ~ theorem(or(not(X3),or(not(or(p,q)),or(p,r)))) ),
    inference(resolution,[],[f23,f8]) ).

fof(f23,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,[],[f8,f9]) ).

fof(f9,axiom,
    ~ theorem(or(not(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r)))),
    file('/export/starexec/sandbox/tmp/tmp.DBOQS4YVmk/Vampire---4.8_32551',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL224-1 : TPTP v8.1.2. Released v1.1.0.
% 0.10/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.33  % Computer : n011.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Wed Aug 30 14:54:42 EDT 2023
% 0.15/0.34  % CPUTime    : 
% 0.15/0.38  % (32678)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (32682)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.15/0.38  % (32680)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.15/0.38  % (32681)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 Vampire---4 for (476ds/0Mi)
% 0.15/0.38  % (32683)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.15/0.38  % (32684)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.15/0.38  % (32685)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.15/0.38  % (32679)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.41  TRYING [4]
% 0.15/0.41  TRYING [4]
% 0.15/0.41  TRYING [4]
% 0.15/0.41  TRYING [4]
% 2.47/0.76  TRYING [5]
% 3.16/0.82  TRYING [5]
% 3.16/0.82  TRYING [5]
% 3.72/0.90  TRYING [5]
% 5.94/1.27  % (32681)First to succeed.
% 5.94/1.28  % (32681)Refutation found. Thanks to Tanya!
% 5.94/1.28  % SZS status Unsatisfiable for Vampire---4
% 5.94/1.28  % SZS output start Proof for Vampire---4
% See solution above
% 5.94/1.28  % (32681)------------------------------
% 5.94/1.28  % (32681)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 5.94/1.28  % (32681)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 5.94/1.28  % (32681)Termination reason: Refutation
% 5.94/1.28  
% 5.94/1.28  % (32681)Memory used [KB]: 17910
% 5.94/1.28  % (32681)Time elapsed: 0.894 s
% 5.94/1.28  % (32681)------------------------------
% 5.94/1.28  % (32681)------------------------------
% 5.94/1.28  % (32678)Success in time 0.927 s
% 5.94/1.28  % Vampire---4.8 exiting
%------------------------------------------------------------------------------