TSTP Solution File: LCL080-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL080-2 : TPTP v8.1.2. Released v1.0.0.
% 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 : n015.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 17:18:53 EDT 2023
% Result : Unsatisfiable 10.67s 2.04s
% Output : Refutation 10.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 17 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 69 (; 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f88604,plain,
$false,
inference(resolution,[],[f61720,f6]) ).
fof(f6,axiom,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))),
file('/export/starexec/sandbox/tmp/tmp.BzBID7h8co/Vampire---4.8_704',prove_ic_JLukasiewicz) ).
fof(f61720,plain,
! [X215,X216,X214,X217] : is_a_theorem(implies(implies(implies(X214,X215),X216),implies(implies(X216,X214),implies(X217,X214)))),
inference(resolution,[],[f42224,f525]) ).
fof(f525,plain,
! [X38,X39,X36,X37] :
( ~ is_a_theorem(implies(implies(implies(X37,X39),implies(X36,X39)),X38))
| is_a_theorem(implies(implies(X36,X37),X38)) ),
inference(resolution,[],[f42,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.BzBID7h8co/Vampire---4.8_704',condensed_detachment) ).
fof(f42,plain,
! [X36,X34,X35,X33] : is_a_theorem(implies(implies(implies(implies(X33,X34),implies(X35,X34)),X36),implies(implies(X35,X33),X36))),
inference(resolution,[],[f31,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/tmp/tmp.BzBID7h8co/Vampire---4.8_704',ic_4) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f5,f1]) ).
fof(f42224,plain,
! [X152,X150,X153,X151] : is_a_theorem(implies(implies(X150,implies(implies(X151,X152),X151)),implies(X150,implies(X153,X151)))),
inference(resolution,[],[f2743,f525]) ).
fof(f2743,plain,
! [X113,X114,X115,X112] : is_a_theorem(implies(implies(implies(implies(implies(X112,X113),X112),implies(X114,X112)),X115),X115)),
inference(resolution,[],[f2305,f206]) ).
fof(f206,plain,
! [X31,X32,X30,X33] : is_a_theorem(implies(X30,implies(implies(implies(X31,X32),X31),implies(X33,X31)))),
inference(resolution,[],[f179,f8]) ).
fof(f8,plain,
! [X2,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f1,f3]) ).
fof(f3,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.BzBID7h8co/Vampire---4.8_704',ic_2) ).
fof(f179,plain,
! [X2,X3,X4] : is_a_theorem(implies(implies(implies(X2,X3),X2),implies(X4,X2))),
inference(resolution,[],[f101,f3]) ).
fof(f101,plain,
! [X10,X11,X12] :
( ~ is_a_theorem(implies(X10,X12))
| is_a_theorem(implies(implies(implies(X10,X11),X10),X12)) ),
inference(resolution,[],[f41,f1]) ).
fof(f41,plain,
! [X31,X32,X30] : is_a_theorem(implies(implies(X30,X31),implies(implies(implies(X30,X32),X30),X31))),
inference(resolution,[],[f31,f4]) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
file('/export/starexec/sandbox/tmp/tmp.BzBID7h8co/Vampire---4.8_704',ic_3) ).
fof(f2305,plain,
! [X38,X37] :
( ~ is_a_theorem(implies(implies(X37,X38),X37))
| is_a_theorem(implies(implies(X37,X38),X38)) ),
inference(resolution,[],[f1990,f1]) ).
fof(f1990,plain,
! [X98,X97] : is_a_theorem(implies(implies(implies(X97,X98),X97),implies(implies(X97,X98),X98))),
inference(resolution,[],[f525,f1089]) ).
fof(f1089,plain,
! [X8,X7] : is_a_theorem(implies(implies(X7,implies(X7,X8)),implies(X7,X8))),
inference(resolution,[],[f1046,f13]) ).
fof(f13,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f4,f1]) ).
fof(f1046,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2)))),
inference(resolution,[],[f576,f42]) ).
fof(f576,plain,
! [X38,X39,X36,X37] :
( ~ is_a_theorem(implies(implies(implies(implies(X38,X39),X38),X38),X37))
| is_a_theorem(implies(X36,X37)) ),
inference(resolution,[],[f40,f1]) ).
fof(f40,plain,
! [X28,X29,X26,X27] : is_a_theorem(implies(implies(implies(implies(implies(X26,X27),X26),X26),X28),implies(X29,X28))),
inference(resolution,[],[f31,f14]) ).
fof(f14,plain,
! [X2,X3,X4] : is_a_theorem(implies(X2,implies(implies(implies(X3,X4),X3),X3))),
inference(resolution,[],[f4,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL080-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n015.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 : Wed Aug 30 15:01:57 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.42 % (929)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (955)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.20/0.42 % (956)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.20/0.42 % (958)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.20/0.42 % (957)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)
% 0.20/0.42 TRYING [1]
% 0.20/0.42 % (960)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.20/0.42 % (959)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.20/0.42 TRYING [2]
% 0.20/0.42 % (962)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)
% 0.20/0.42 TRYING [1]
% 0.20/0.42 TRYING [1]
% 0.20/0.42 TRYING [2]
% 0.20/0.42 TRYING [2]
% 0.20/0.42 TRYING [3]
% 0.20/0.42 TRYING [1]
% 0.20/0.42 TRYING [2]
% 0.20/0.42 TRYING [3]
% 0.20/0.42 TRYING [3]
% 0.20/0.43 TRYING [3]
% 0.20/0.43 TRYING [4]
% 0.20/0.43 TRYING [4]
% 0.20/0.43 TRYING [4]
% 0.20/0.43 TRYING [4]
% 0.20/0.45 TRYING [5]
% 0.20/0.46 TRYING [5]
% 0.20/0.46 TRYING [5]
% 0.20/0.47 TRYING [5]
% 0.20/0.62 TRYING [6]
% 0.20/0.63 TRYING [6]
% 0.20/0.64 TRYING [6]
% 0.20/0.65 TRYING [6]
% 4.98/1.13 TRYING [7]
% 4.98/1.13 TRYING [7]
% 4.98/1.16 TRYING [7]
% 4.98/1.16 TRYING [7]
% 10.67/2.04 % (959)First to succeed.
% 10.67/2.04 % (959)Refutation found. Thanks to Tanya!
% 10.67/2.04 % SZS status Unsatisfiable for Vampire---4
% 10.67/2.04 % SZS output start Proof for Vampire---4
% See solution above
% 10.67/2.04 % (959)------------------------------
% 10.67/2.04 % (959)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 10.67/2.04 % (959)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 10.67/2.04 % (959)Termination reason: Refutation
% 10.67/2.04
% 10.67/2.04 % (959)Memory used [KB]: 49636
% 10.67/2.04 % (959)Time elapsed: 1.615 s
% 10.67/2.04 % (959)------------------------------
% 10.67/2.04 % (959)------------------------------
% 10.67/2.04 % (929)Success in time 1.65 s
% 10.67/2.04 % Vampire---4.8 exiting
%------------------------------------------------------------------------------