TSTP Solution File: LCL013-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL013-1 : 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 : n012.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 17:18:42 EDT 2023
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 5 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 21 (; 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,plain,
$false,
inference(resolution,[],[f8,f3]) ).
fof(f3,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))),
file('/export/starexec/sandbox2/tmp/tmp.BaPWc3gm4s/Vampire---4.8_5169',prove_um) ).
fof(f8,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X2,X0)))),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))),
file('/export/starexec/sandbox2/tmp/tmp.BaPWc3gm4s/Vampire---4.8_5169',xgf) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(equivalent(X3,equivalent(X2,X4)),equivalent(X4,X3))),X0)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f5,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.BaPWc3gm4s/Vampire---4.8_5169',condensed_detachment) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X1,X3)),equivalent(X3,X2))),X4)),equivalent(X4,X0))),
inference(resolution,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X0))) ),
inference(resolution,[],[f2,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n012.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 14:46:53 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.22/0.43 % (5336)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (5337)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.43 % (5338)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 % (5342)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.22/0.43 TRYING [2]
% 0.22/0.43 % (5341)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.22/0.43 % (5343)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)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 % (5341)First to succeed.
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 % (5342)Also succeeded, but the first one will report.
% 0.22/0.43 TRYING [3]
% 0.22/0.44 % (5340)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.44 TRYING [3]
% 0.22/0.44 % (5341)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44 % (5341)------------------------------
% 0.22/0.44 % (5341)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (5341)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (5341)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (5341)Memory used [KB]: 895
% 0.22/0.44 % (5341)Time elapsed: 0.003 s
% 0.22/0.44 % (5341)------------------------------
% 0.22/0.44 % (5341)------------------------------
% 0.22/0.44 % (5336)Success in time 0.064 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------