TSTP Solution File: LCL006-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL006-1 : 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 : n032.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 17:18:41 EDT 2023
% Result : Unsatisfiable 56.41s 8.47s
% Output : Refutation 56.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 16 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 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 : 60 (; 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f258771,plain,
$false,
inference(resolution,[],[f143191,f4]) ).
fof(f4,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
file('/export/starexec/sandbox/tmp/tmp.gEFHg9HCJk/Vampire---4.8_18404',prove_ec_1) ).
fof(f143191,plain,
! [X170,X168,X169] : is_a_theorem(equivalent(equivalent(equivalent(X168,X169),equivalent(X170,X168)),equivalent(X169,X170))),
inference(resolution,[],[f41950,f1141]) ).
fof(f1141,plain,
! [X18,X19,X17] :
( ~ is_a_theorem(equivalent(X19,equivalent(X18,X17)))
| is_a_theorem(equivalent(equivalent(X17,X18),X19)) ),
inference(resolution,[],[f567,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.gEFHg9HCJk/Vampire---4.8_18404',condensed_detachment) ).
fof(f567,plain,
! [X11,X12,X13] : is_a_theorem(equivalent(equivalent(X11,equivalent(X12,X13)),equivalent(equivalent(X13,X12),X11))),
inference(resolution,[],[f281,f97]) ).
fof(f97,plain,
! [X8,X6,X7] :
( ~ is_a_theorem(equivalent(X6,equivalent(X7,X8)))
| is_a_theorem(equivalent(equivalent(X6,X7),X8)) ),
inference(resolution,[],[f7,f1]) ).
fof(f7,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,X1),X2))),
inference(resolution,[],[f3,f5]) ).
fof(f5,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,X0))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.gEFHg9HCJk/Vampire---4.8_18404',ec_4) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X0,equivalent(X1,X2)))),
file('/export/starexec/sandbox/tmp/tmp.gEFHg9HCJk/Vampire---4.8_18404',ec_5) ).
fof(f281,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))),
inference(resolution,[],[f208,f2]) ).
fof(f208,plain,
! [X10,X11,X12] :
( ~ is_a_theorem(equivalent(X11,X12))
| is_a_theorem(equivalent(X10,equivalent(X11,equivalent(X12,X10)))) ),
inference(resolution,[],[f10,f1]) ).
fof(f10,plain,
! [X2,X3,X4] : is_a_theorem(equivalent(equivalent(X2,X3),equivalent(X4,equivalent(X2,equivalent(X3,X4))))),
inference(resolution,[],[f8,f3]) ).
fof(f8,plain,
! [X3,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(X3,X4),X5))
| is_a_theorem(equivalent(X3,equivalent(X4,X5))) ),
inference(resolution,[],[f3,f1]) ).
fof(f41950,plain,
! [X104,X102,X103] : is_a_theorem(equivalent(equivalent(X102,X103),equivalent(equivalent(X103,X104),equivalent(X104,X102)))),
inference(resolution,[],[f9525,f97]) ).
fof(f9525,plain,
! [X2,X3,X4] : is_a_theorem(equivalent(X2,equivalent(X3,equivalent(equivalent(X3,X4),equivalent(X4,X2))))),
inference(resolution,[],[f2939,f449]) ).
fof(f449,plain,
! [X18,X19,X17] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X19,X17),X18),X19))
| is_a_theorem(equivalent(X17,X18)) ),
inference(resolution,[],[f241,f1]) ).
fof(f241,plain,
! [X10,X11,X12] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X10,X11),X12),X10),equivalent(X11,X12))),
inference(resolution,[],[f97,f3]) ).
fof(f2939,plain,
! [X21,X22,X23] : is_a_theorem(equivalent(equivalent(X21,equivalent(X22,equivalent(equivalent(X22,X23),X21))),X23)),
inference(resolution,[],[f1022,f5]) ).
fof(f1022,plain,
! [X16,X14,X15] : is_a_theorem(equivalent(X14,equivalent(X15,equivalent(X16,equivalent(equivalent(X16,X14),X15))))),
inference(resolution,[],[f449,f261]) ).
fof(f261,plain,
! [X14,X12,X13] : is_a_theorem(equivalent(equivalent(X12,equivalent(X13,equivalent(X14,equivalent(X12,X13)))),X14)),
inference(resolution,[],[f205,f5]) ).
fof(f205,plain,
! [X2,X3,X4] : is_a_theorem(equivalent(X2,equivalent(X3,equivalent(X4,equivalent(X2,equivalent(X3,X4)))))),
inference(resolution,[],[f10,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.35 % Computer : n032.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Aug 30 14:56:17 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.38 % (18525)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.39 % (18527)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.12/0.39 % (18529)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)
% 0.12/0.39 % (18528)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.12/0.39 % (18531)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.12/0.39 % (18532)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.12/0.39 % (18530)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.12/0.39 % (18533)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)
% 0.12/0.39 TRYING [1]
% 0.12/0.39 TRYING [2]
% 0.17/0.39 TRYING [1]
% 0.17/0.39 TRYING [1]
% 0.17/0.39 TRYING [2]
% 0.17/0.39 TRYING [2]
% 0.17/0.39 TRYING [1]
% 0.17/0.39 TRYING [2]
% 0.17/0.39 TRYING [3]
% 0.17/0.39 TRYING [3]
% 0.17/0.39 TRYING [3]
% 0.17/0.39 TRYING [3]
% 0.17/0.39 TRYING [4]
% 0.17/0.39 TRYING [4]
% 0.17/0.39 TRYING [4]
% 0.17/0.40 TRYING [4]
% 0.17/0.43 TRYING [5]
% 0.17/0.44 TRYING [5]
% 0.17/0.44 TRYING [5]
% 0.17/0.44 TRYING [5]
% 2.30/0.74 TRYING [6]
% 2.77/0.78 TRYING [6]
% 2.77/0.78 TRYING [6]
% 3.27/0.87 TRYING [6]
% 18.94/3.22 TRYING [7]
% 20.16/3.26 TRYING [7]
% 20.16/3.26 TRYING [7]
% 20.79/3.36 TRYING [7]
% 56.41/8.45 % (18531)First to succeed.
% 56.41/8.47 % (18531)Refutation found. Thanks to Tanya!
% 56.41/8.47 % SZS status Unsatisfiable for Vampire---4
% 56.41/8.47 % SZS output start Proof for Vampire---4
% See solution above
% 56.41/8.47 % (18531)------------------------------
% 56.41/8.47 % (18531)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 56.41/8.47 % (18531)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 56.41/8.47 % (18531)Termination reason: Refutation
% 56.41/8.47
% 56.41/8.47 % (18531)Memory used [KB]: 166180
% 56.41/8.47 % (18531)Time elapsed: 8.062 s
% 56.41/8.47 % (18531)------------------------------
% 56.41/8.47 % (18531)------------------------------
% 56.41/8.47 % (18525)Success in time 8.063 s
% 56.41/8.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------