TSTP Solution File: LCL071-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL071-1 : 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 : n004.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 17:18:51 EDT 2023
% Result : Unsatisfiable 18.49s 3.11s
% Output : Refutation 18.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of formulae : 60 ( 39 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 23 ~; 22 |; 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 160 (; 160 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97334,plain,
$false,
inference(resolution,[],[f97182,f5]) ).
fof(f5,axiom,
~ is_a_theorem(implies(implies(not(a),a),a)),
file('/export/starexec/sandbox2/tmp/tmp.RAZaHd6Dig/Vampire---4.8_7253',prove_cn_2) ).
fof(f97182,plain,
! [X18] : is_a_theorem(implies(implies(not(X18),X18),X18)),
inference(resolution,[],[f95210,f20116]) ).
fof(f20116,plain,
! [X56] : is_a_theorem(implies(implies(not(X56),X56),not(not(X56)))),
inference(resolution,[],[f20096,f1223]) ).
fof(f1223,plain,
! [X21,X22] :
( ~ is_a_theorem(implies(X22,not(X21)))
| is_a_theorem(implies(implies(X21,X22),not(X21))) ),
inference(resolution,[],[f1200,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RAZaHd6Dig/Vampire---4.8_7253',condensed_detachment) ).
fof(f1200,plain,
! [X2,X3] : is_a_theorem(implies(implies(X2,not(X3)),implies(implies(X3,X2),not(X3)))),
inference(resolution,[],[f1102,f878]) ).
fof(f878,plain,
! [X24,X25,X23] :
( ~ is_a_theorem(implies(implies(X25,X23),implies(X23,X24)))
| is_a_theorem(implies(X23,X24)) ),
inference(resolution,[],[f763,f1]) ).
fof(f763,plain,
! [X18,X19,X20] : is_a_theorem(implies(implies(implies(X18,X19),implies(X19,X20)),implies(X19,X20))),
inference(resolution,[],[f724,f407]) ).
fof(f407,plain,
! [X16,X14,X15,X13] :
( ~ is_a_theorem(implies(X15,implies(X14,X16)))
| is_a_theorem(implies(implies(implies(X13,X14),X15),implies(X14,X16))) ),
inference(resolution,[],[f371,f1]) ).
fof(f371,plain,
! [X8,X6,X7,X5] : is_a_theorem(implies(implies(X5,implies(X6,X7)),implies(implies(implies(X8,X6),X5),implies(X6,X7)))),
inference(resolution,[],[f306,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
file('/export/starexec/sandbox2/tmp/tmp.RAZaHd6Dig/Vampire---4.8_7253',cn_19) ).
fof(f306,plain,
! [X10,X8,X9,X7] :
( ~ is_a_theorem(implies(implies(X9,X10),X8))
| is_a_theorem(implies(implies(X7,X8),implies(implies(X9,X7),X8))) ),
inference(resolution,[],[f178,f1]) ).
fof(f178,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X2),implies(implies(X0,X3),X2)))),
inference(resolution,[],[f68,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
file('/export/starexec/sandbox2/tmp/tmp.RAZaHd6Dig/Vampire---4.8_7253',cn_37) ).
fof(f68,plain,
! [X10,X11,X8,X9] :
( ~ is_a_theorem(implies(X8,implies(not(X11),X10)))
| is_a_theorem(implies(X8,implies(implies(X9,X10),implies(implies(X11,X9),X10)))) ),
inference(resolution,[],[f4,f1]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))),
file('/export/starexec/sandbox2/tmp/tmp.RAZaHd6Dig/Vampire---4.8_7253',cn_60) ).
fof(f724,plain,
! [X18] : is_a_theorem(implies(X18,X18)),
inference(resolution,[],[f617,f2]) ).
fof(f617,plain,
! [X26,X27,X24,X25] :
( ~ is_a_theorem(implies(implies(X26,X24),implies(implies(X27,X24),X25)))
| is_a_theorem(implies(X24,X25)) ),
inference(resolution,[],[f468,f1]) ).
fof(f468,plain,
! [X10,X11,X12,X13] : is_a_theorem(implies(implies(implies(X10,X11),implies(implies(X12,X11),X13)),implies(X11,X13))),
inference(resolution,[],[f407,f2]) ).
fof(f1102,plain,
! [X371,X370,X372] : is_a_theorem(implies(X370,implies(implies(X371,not(X372)),implies(implies(X372,X371),not(X372))))),
inference(resolution,[],[f423,f724]) ).
fof(f423,plain,
! [X21,X18,X19,X20] :
( ~ is_a_theorem(implies(not(X21),X20))
| is_a_theorem(implies(X18,implies(implies(X19,X20),implies(implies(X21,X19),X20)))) ),
inference(resolution,[],[f67,f1]) ).
fof(f67,plain,
! [X6,X7,X4,X5] : is_a_theorem(implies(implies(not(X4),X5),implies(X6,implies(implies(X7,X5),implies(implies(X4,X7),X5))))),
inference(resolution,[],[f4,f6]) ).
fof(f6,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f20096,plain,
! [X124] : is_a_theorem(implies(X124,not(not(X124)))),
inference(resolution,[],[f20035,f724]) ).
fof(f20035,plain,
! [X65,X66] :
( ~ is_a_theorem(implies(X66,not(X65)))
| is_a_theorem(implies(X65,not(X66))) ),
inference(resolution,[],[f19891,f1]) ).
fof(f19891,plain,
! [X24,X23] : is_a_theorem(implies(implies(X23,not(X24)),implies(X24,not(X23)))),
inference(resolution,[],[f3447,f727]) ).
fof(f727,plain,
! [X24,X25] : is_a_theorem(implies(not(X24),implies(X24,X25))),
inference(resolution,[],[f617,f495]) ).
fof(f495,plain,
! [X170,X171,X168,X169] : is_a_theorem(implies(implies(implies(X168,X169),not(X170)),implies(X169,implies(X170,X171)))),
inference(resolution,[],[f407,f47]) ).
fof(f47,plain,
! [X3,X4,X5] : is_a_theorem(implies(not(X3),implies(X4,implies(X3,X5)))),
inference(resolution,[],[f42,f7]) ).
fof(f7,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f6,f2]) ).
fof(f42,plain,
! [X2,X3,X4] :
( ~ is_a_theorem(implies(implies(X2,X4),X3))
| is_a_theorem(implies(not(X2),X3)) ),
inference(resolution,[],[f3,f1]) ).
fof(f3447,plain,
! [X54,X52,X53] :
( ~ is_a_theorem(implies(X53,implies(X54,not(X52))))
| is_a_theorem(implies(implies(X52,X53),implies(X54,not(X52)))) ),
inference(resolution,[],[f1300,f1]) ).
fof(f1300,plain,
! [X16,X14,X15] : is_a_theorem(implies(implies(X14,implies(X15,not(X16))),implies(implies(X16,X14),implies(X15,not(X16))))),
inference(resolution,[],[f699,f2]) ).
fof(f699,plain,
! [X28,X26,X27,X25] :
( ~ is_a_theorem(implies(implies(X28,not(X27)),X26))
| is_a_theorem(implies(implies(X25,X26),implies(implies(X27,X25),X26))) ),
inference(resolution,[],[f185,f1]) ).
fof(f185,plain,
! [X36,X37,X34,X35] : is_a_theorem(implies(implies(implies(X34,not(X35)),X36),implies(implies(X37,X36),implies(implies(X35,X37),X36)))),
inference(resolution,[],[f68,f2]) ).
fof(f95210,plain,
! [X98,X97] :
( ~ is_a_theorem(implies(X97,not(not(X98))))
| is_a_theorem(implies(X97,X98)) ),
inference(resolution,[],[f89231,f1]) ).
fof(f89231,plain,
! [X48,X47] : is_a_theorem(implies(implies(X47,not(not(X48))),implies(X47,X48))),
inference(resolution,[],[f89035,f1144]) ).
fof(f1144,plain,
! [X31,X32,X33] :
( ~ is_a_theorem(implies(X32,implies(X31,X33)))
| is_a_theorem(implies(implies(X31,X32),implies(X31,X33))) ),
inference(resolution,[],[f758,f1]) ).
fof(f758,plain,
! [X8,X9,X7] : is_a_theorem(implies(implies(X7,implies(X8,X9)),implies(implies(X8,X7),implies(X8,X9)))),
inference(resolution,[],[f724,f306]) ).
fof(f89035,plain,
! [X18,X17] : is_a_theorem(implies(not(not(X17)),implies(X18,X17))),
inference(resolution,[],[f88928,f1844]) ).
fof(f1844,plain,
! [X48,X49,X47] :
( ~ is_a_theorem(implies(X47,X49))
| is_a_theorem(implies(X47,implies(X48,X49))) ),
inference(resolution,[],[f1749,f1]) ).
fof(f1749,plain,
! [X65,X63,X64] : is_a_theorem(implies(implies(X63,X64),implies(X63,implies(X65,X64)))),
inference(resolution,[],[f1144,f8]) ).
fof(f8,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[],[f7,f6]) ).
fof(f88928,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[],[f81963,f83085]) ).
fof(f83085,plain,
! [X62,X63] :
( ~ is_a_theorem(implies(implies(X63,X63),X62))
| is_a_theorem(X62) ),
inference(resolution,[],[f82326,f1]) ).
fof(f82326,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(resolution,[],[f82255,f724]) ).
fof(f82255,plain,
! [X101,X102] :
( ~ is_a_theorem(X101)
| is_a_theorem(implies(implies(X101,X102),X102)) ),
inference(resolution,[],[f82193,f1]) ).
fof(f82193,plain,
! [X1873,X1874] : is_a_theorem(implies(X1873,implies(implies(X1873,X1874),X1874))),
inference(resolution,[],[f77061,f724]) ).
fof(f77061,plain,
! [X101,X99,X100] :
( ~ is_a_theorem(implies(X100,implies(X99,X101)))
| is_a_theorem(implies(X99,implies(X100,X101))) ),
inference(resolution,[],[f27816,f1]) ).
fof(f27816,plain,
! [X18,X16,X17] : is_a_theorem(implies(implies(X16,implies(X17,X18)),implies(X17,implies(X16,X18)))),
inference(resolution,[],[f4507,f1749]) ).
fof(f4507,plain,
! [X72,X73,X71,X74] :
( ~ is_a_theorem(implies(X72,implies(X73,implies(X71,X74))))
| is_a_theorem(implies(implies(X71,X72),implies(X73,implies(X71,X74)))) ),
inference(resolution,[],[f372,f1]) ).
fof(f372,plain,
! [X10,X11,X9,X12] : is_a_theorem(implies(implies(X9,implies(X10,implies(X11,X12))),implies(implies(X11,X9),implies(X10,implies(X11,X12))))),
inference(resolution,[],[f306,f7]) ).
fof(f81963,plain,
! [X1065] : is_a_theorem(implies(implies(X1065,X1065),implies(not(not(X1065)),X1065))),
inference(resolution,[],[f77061,f10695]) ).
fof(f10695,plain,
! [X452] : is_a_theorem(implies(not(not(X452)),implies(implies(X452,X452),X452))),
inference(resolution,[],[f7782,f783]) ).
fof(f783,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(not(X0)),implies(implies(X1,X2),implies(implies(X0,X1),X2)))),
inference(resolution,[],[f727,f68]) ).
fof(f7782,plain,
! [X86,X87,X85] :
( ~ is_a_theorem(implies(X85,implies(X86,implies(X86,X87))))
| is_a_theorem(implies(X85,implies(X86,X87))) ),
inference(resolution,[],[f2437,f1]) ).
fof(f2437,plain,
! [X40,X38,X39] : is_a_theorem(implies(implies(X38,implies(X39,implies(X39,X40))),implies(X38,implies(X39,X40)))),
inference(resolution,[],[f1872,f1144]) ).
fof(f1872,plain,
! [X24,X25,X23] : is_a_theorem(implies(implies(X23,implies(X23,X24)),implies(X25,implies(X23,X24)))),
inference(resolution,[],[f1844,f1830]) ).
fof(f1830,plain,
! [X407,X406] : is_a_theorem(implies(implies(X406,implies(X406,X407)),implies(X406,X407))),
inference(resolution,[],[f1144,f724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL071-1 : TPTP v8.1.2. Released v1.0.0.
% 0.15/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n004.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed Aug 30 14:41:07 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.43 % (7382)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (7383)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.23/0.44 TRYING [1]
% 0.23/0.44 % (7385)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)
% 0.23/0.44 TRYING [2]
% 0.23/0.44 % (7388)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.23/0.44 % (7387)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.23/0.44 % (7389)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)
% 0.23/0.44 TRYING [1]
% 0.23/0.44 TRYING [2]
% 0.23/0.44 % (7384)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.23/0.44 % (7386)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.44 TRYING [1]
% 0.23/0.44 TRYING [1]
% 0.23/0.44 TRYING [3]
% 0.23/0.44 TRYING [2]
% 0.23/0.44 TRYING [2]
% 0.23/0.44 TRYING [3]
% 0.23/0.44 TRYING [3]
% 0.23/0.45 TRYING [4]
% 0.23/0.45 TRYING [4]
% 0.23/0.45 TRYING [3]
% 0.23/0.45 TRYING [4]
% 0.23/0.45 TRYING [4]
% 0.23/0.47 TRYING [5]
% 0.23/0.48 TRYING [5]
% 0.23/0.48 TRYING [5]
% 0.23/0.48 TRYING [5]
% 0.23/0.63 TRYING [6]
% 0.23/0.64 TRYING [6]
% 1.23/0.66 TRYING [6]
% 1.23/0.69 TRYING [6]
% 11.83/2.14 TRYING [7]
% 12.96/2.28 TRYING [7]
% 13.22/2.30 TRYING [7]
% 13.95/2.52 TRYING [7]
% 18.49/3.10 % (7387)First to succeed.
% 18.49/3.11 % (7387)Refutation found. Thanks to Tanya!
% 18.49/3.11 % SZS status Unsatisfiable for Vampire---4
% 18.49/3.11 % SZS output start Proof for Vampire---4
% See solution above
% 18.49/3.11 % (7387)------------------------------
% 18.49/3.11 % (7387)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 18.49/3.11 % (7387)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 18.49/3.11 % (7387)Termination reason: Refutation
% 18.49/3.11
% 18.49/3.11 % (7387)Memory used [KB]: 77269
% 18.49/3.11 % (7387)Time elapsed: 2.664 s
% 18.49/3.11 % (7387)------------------------------
% 18.49/3.11 % (7387)------------------------------
% 18.49/3.11 % (7382)Success in time 2.701 s
% 18.49/3.11 % Vampire---4.8 exiting
%------------------------------------------------------------------------------