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

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%------------------------------------------------------------------------------
% File     : Vampire---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 : n008.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 : Thu Aug 31 08:22:39 EDT 2023

% Result   : Unsatisfiable 67.57s 10.13s
% Output   : Refutation 67.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   33 (  15 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   74 (  49   ~;  25   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 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   :   39 (;  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f285749,plain,
    $false,
    inference(resolution,[],[f285748,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    file('/export/starexec/sandbox2/tmp/tmp.4DG6bTtPU6/Vampire---4.8_17120',axiom_1_4) ).

fof(f285748,plain,
    ! [X0] : ~ axiom(or(not(or(X0,p)),or(p,r))),
    inference(resolution,[],[f285739,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    file('/export/starexec/sandbox2/tmp/tmp.4DG6bTtPU6/Vampire---4.8_17120',axiom_1_3) ).

fof(f285739,plain,
    ! [X4] :
      ( ~ axiom(or(not(p),X4))
      | ~ axiom(or(not(X4),or(p,r))) ),
    inference(resolution,[],[f285734,f6]) ).

fof(f6,axiom,
    ! [X3] :
      ( ~ axiom(X3)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.4DG6bTtPU6/Vampire---4.8_17120',rule_1) ).

fof(f285734,plain,
    ! [X0] :
      ( ~ theorem(or(not(X0),or(p,r)))
      | ~ axiom(or(not(p),X0)) ),
    inference(resolution,[],[f285733,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/sandbox2/tmp/tmp.4DG6bTtPU6/Vampire---4.8_17120',rule_3) ).

fof(f285733,plain,
    ~ theorem(or(not(p),or(p,r))),
    inference(resolution,[],[f285727,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/sandbox2/tmp/tmp.4DG6bTtPU6/Vampire---4.8_17120',axiom_1_6) ).

fof(f285727,plain,
    ! [X1] :
      ( ~ axiom(or(not(X1),or(not(or(or(p,r),p)),or(or(p,r),or(p,r)))))
      | ~ theorem(X1) ),
    inference(resolution,[],[f285598,f3]) ).

fof(f285598,plain,
    ! [X2,X3] :
      ( ~ axiom(or(not(or(p,or(p,r))),X2))
      | ~ theorem(X3)
      | ~ axiom(or(not(X3),or(not(X2),or(or(p,r),or(p,r))))) ),
    inference(resolution,[],[f285559,f7]) ).

fof(f7,axiom,
    ! [X3,X4] :
      ( ~ theorem(X4)
      | theorem(X3)
      | ~ axiom(or(not(X4),X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.4DG6bTtPU6/Vampire---4.8_17120',rule_2) ).

fof(f285559,plain,
    ! [X0] :
      ( ~ theorem(or(not(X0),or(or(p,r),or(p,r))))
      | ~ axiom(or(not(or(p,or(p,r))),X0)) ),
    inference(resolution,[],[f285557,f8]) ).

fof(f285557,plain,
    ~ theorem(or(not(or(p,or(p,r))),or(or(p,r),or(p,r)))),
    inference(resolution,[],[f285551,f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/tmp/tmp.4DG6bTtPU6/Vampire---4.8_17120',axiom_1_5) ).

fof(f285551,plain,
    ! [X0] :
      ( ~ axiom(or(not(X0),or(or(p,r),or(not(or(p,or(p,r))),or(p,r)))))
      | ~ theorem(X0) ),
    inference(resolution,[],[f285548,f7]) ).

fof(f285548,plain,
    ~ theorem(or(or(p,r),or(not(or(p,or(p,r))),or(p,r)))),
    inference(resolution,[],[f285545,f3]) ).

fof(f285545,plain,
    ! [X0] :
      ( ~ axiom(or(not(X0),or(or(not(or(p,or(p,r))),or(p,r)),or(p,r))))
      | ~ theorem(X0) ),
    inference(resolution,[],[f285541,f7]) ).

fof(f285541,plain,
    ~ theorem(or(or(not(or(p,or(p,r))),or(p,r)),or(p,r))),
    inference(resolution,[],[f284693,f2]) ).

fof(f284693,plain,
    ! [X1] :
      ( ~ axiom(or(not(X1),or(not(or(p,or(p,r))),or(or(not(or(p,or(p,r))),or(p,r)),or(p,r)))))
      | ~ theorem(X1) ),
    inference(resolution,[],[f284690,f7]) ).

fof(f284690,plain,
    ~ theorem(or(not(or(p,or(p,r))),or(or(not(or(p,or(p,r))),or(p,r)),or(p,r)))),
    inference(resolution,[],[f63620,f4]) ).

fof(f63620,plain,
    ! [X0] :
      ( ~ axiom(or(not(X0),or(or(not(or(p,or(p,r))),or(p,r)),or(not(or(p,or(p,r))),or(p,r)))))
      | ~ theorem(X0) ),
    inference(resolution,[],[f58757,f7]) ).

fof(f58757,plain,
    ~ theorem(or(or(not(or(p,or(p,r))),or(p,r)),or(not(or(p,or(p,r))),or(p,r)))),
    inference(resolution,[],[f58749,f1]) ).

fof(f1,axiom,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    file('/export/starexec/sandbox2/tmp/tmp.4DG6bTtPU6/Vampire---4.8_17120',axiom_1_2) ).

fof(f58749,plain,
    ! [X1] :
      ( ~ axiom(or(not(X1),or(not(or(p,or(p,r))),or(p,r))))
      | ~ theorem(X1) ),
    inference(resolution,[],[f58747,f7]) ).

fof(f58747,plain,
    ~ theorem(or(not(or(p,or(p,r))),or(p,r))),
    inference(resolution,[],[f34077,f5]) ).

fof(f34077,plain,
    ! [X0,X1] :
      ( ~ axiom(or(not(X0),or(not(or(not(or(X1,q)),or(X1,or(p,r)))),or(not(or(p,q)),or(p,r)))))
      | ~ theorem(X0) ),
    inference(resolution,[],[f22417,f5]) ).

fof(f22417,plain,
    ! [X0,X1] :
      ( ~ axiom(or(not(or(not(q),or(p,r))),X0))
      | ~ theorem(X1)
      | ~ axiom(or(not(X1),or(not(X0),or(not(or(p,q)),or(p,r))))) ),
    inference(resolution,[],[f3614,f4]) ).

fof(f3614,plain,
    ! [X3,X4,X5] :
      ( ~ axiom(or(not(or(p,or(not(q),r))),X3))
      | ~ axiom(or(not(X3),X4))
      | ~ theorem(X5)
      | ~ axiom(or(not(X5),or(not(X4),or(not(or(p,q)),or(p,r))))) ),
    inference(resolution,[],[f13,f7]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ~ theorem(or(not(X1),or(not(or(p,q)),or(p,r))))
      | ~ axiom(or(not(or(p,or(not(q),r))),X0))
      | ~ axiom(or(not(X0),X1)) ),
    inference(resolution,[],[f10,f8]) ).

fof(f10,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,[],[f9,f8]) ).

fof(f9,axiom,
    ~ theorem(or(not(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r)))),
    file('/export/starexec/sandbox2/tmp/tmp.4DG6bTtPU6/Vampire---4.8_17120',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL224-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n008.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri Aug 25 02:27:02 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.4DG6bTtPU6/Vampire---4.8_17120
% 0.15/0.36  % (17364)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (17374)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.21/0.42  % (17370)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.42  % (17373)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.21/0.42  % (17368)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.21/0.42  % (17367)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.21/0.42  % (17369)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.21/0.42  % (17372)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 67.57/10.12  % (17374)First to succeed.
% 67.57/10.13  % (17374)Refutation found. Thanks to Tanya!
% 67.57/10.13  % SZS status Unsatisfiable for Vampire---4
% 67.57/10.13  % SZS output start Proof for Vampire---4
% See solution above
% 67.57/10.14  % (17374)------------------------------
% 67.57/10.14  % (17374)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 67.57/10.14  % (17374)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 67.57/10.14  % (17374)Termination reason: Refutation
% 67.57/10.14  
% 67.57/10.14  % (17374)Memory used [KB]: 157353
% 67.57/10.14  % (17374)Time elapsed: 9.700 s
% 67.57/10.14  % (17374)------------------------------
% 67.57/10.14  % (17374)------------------------------
% 67.57/10.14  % (17364)Success in time 9.705 s
% 67.57/10.14  % Vampire---4.8 exiting
%------------------------------------------------------------------------------