TSTP Solution File: LCL060-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL060-1 : 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 : 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 17:18:50 EDT 2023
% Result : Unsatisfiable 74.14s 11.32s
% Output : Refutation 74.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 5
% Syntax : Number of formulae : 68 ( 48 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 22 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 181 (; 181 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f370593,plain,
$false,
inference(resolution,[],[f370369,f5]) ).
fof(f5,axiom,
~ is_a_theorem(implies(implies(a,b),implies(implies(not(a),b),b))),
file('/export/starexec/sandbox/tmp/tmp.C6oVahU9fm/Vampire---4.8_16127',prove_cn_54) ).
fof(f370369,plain,
! [X46,X47] : is_a_theorem(implies(implies(X46,X47),implies(implies(not(X46),X47),X47))),
inference(resolution,[],[f242542,f932]) ).
fof(f932,plain,
! [X18,X19,X20] :
( ~ is_a_theorem(implies(implies(implies(not(X18),X18),X19),X20))
| is_a_theorem(implies(implies(X18,X19),X20)) ),
inference(resolution,[],[f23,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.C6oVahU9fm/Vampire---4.8_16127',condensed_detachment) ).
fof(f23,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))),
inference(resolution,[],[f18,f16]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/tmp/tmp.C6oVahU9fm/Vampire---4.8_16127',cn_1) ).
fof(f18,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f16,f3]) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/tmp/tmp.C6oVahU9fm/Vampire---4.8_16127',cn_2) ).
fof(f242542,plain,
! [X202,X200,X201] : is_a_theorem(implies(implies(implies(X200,X201),X202),implies(implies(X200,X202),X202))),
inference(resolution,[],[f162724,f17614]) ).
fof(f17614,plain,
! [X96,X97,X95] :
( ~ is_a_theorem(implies(X96,implies(X95,X97)))
| is_a_theorem(implies(X95,implies(X96,X97))) ),
inference(resolution,[],[f16828,f1]) ).
fof(f16828,plain,
! [X54,X55,X53] : is_a_theorem(implies(implies(X53,implies(X54,X55)),implies(X54,implies(X53,X55)))),
inference(resolution,[],[f12696,f202]) ).
fof(f202,plain,
! [X10,X11,X9,X12] :
( ~ is_a_theorem(implies(implies(implies(X10,X12),implies(X9,X12)),X11))
| is_a_theorem(implies(implies(X9,X10),X11)) ),
inference(resolution,[],[f19,f1]) ).
fof(f19,plain,
! [X2,X3,X4,X5] : is_a_theorem(implies(implies(implies(implies(X2,X3),implies(X4,X3)),X5),implies(implies(X4,X2),X5))),
inference(resolution,[],[f16,f2]) ).
fof(f12696,plain,
! [X96,X97,X95] : is_a_theorem(implies(implies(implies(implies(X95,X96),X96),X97),implies(X95,X97))),
inference(resolution,[],[f12594,f16]) ).
fof(f12594,plain,
! [X8,X9] : is_a_theorem(implies(X8,implies(implies(X8,X9),X9))),
inference(resolution,[],[f12522,f1321]) ).
fof(f1321,plain,
! [X8,X7] :
( ~ is_a_theorem(implies(implies(not(not(X7)),X8),X7))
| is_a_theorem(X7) ),
inference(resolution,[],[f1311,f1]) ).
fof(f1311,plain,
! [X50,X51] : is_a_theorem(implies(implies(implies(not(not(X50)),X51),X50),X50)),
inference(resolution,[],[f1281,f6]) ).
fof(f6,plain,
! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f1,f3]) ).
fof(f1281,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(not(not(X1)),X2),X1),X1))),
inference(resolution,[],[f26,f654]) ).
fof(f654,plain,
! [X14,X15,X13] :
( ~ is_a_theorem(implies(implies(implies(not(X15),X15),X15),X14))
| is_a_theorem(implies(X13,X14)) ),
inference(resolution,[],[f400,f1]) ).
fof(f400,plain,
! [X10,X8,X9] : is_a_theorem(implies(implies(implies(implies(not(X8),X8),X8),X9),implies(X10,X9))),
inference(resolution,[],[f355,f16]) ).
fof(f355,plain,
! [X14,X13] : is_a_theorem(implies(X13,implies(implies(not(X14),X14),X14))),
inference(resolution,[],[f345,f18]) ).
fof(f345,plain,
! [X8,X9,X7] :
( ~ is_a_theorem(implies(implies(X9,X9),X8))
| is_a_theorem(implies(X7,X8)) ),
inference(resolution,[],[f311,f1]) ).
fof(f311,plain,
! [X8,X6,X7] : is_a_theorem(implies(implies(implies(X6,X6),X7),implies(X8,X7))),
inference(resolution,[],[f295,f16]) ).
fof(f295,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f289,f3]) ).
fof(f289,plain,
! [X10,X11,X9,X12] :
( ~ is_a_theorem(implies(implies(not(implies(X11,X11)),X12),X10))
| is_a_theorem(implies(X9,X10)) ),
inference(resolution,[],[f140,f1]) ).
fof(f140,plain,
! [X8,X6,X9,X7] : is_a_theorem(implies(implies(implies(not(implies(X6,X6)),X7),X8),implies(X9,X8))),
inference(resolution,[],[f130,f16]) ).
fof(f130,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
inference(resolution,[],[f55,f27]) ).
fof(f27,plain,
! [X6,X4,X5] :
( ~ is_a_theorem(implies(implies(not(X4),X6),X5))
| is_a_theorem(implies(X4,X5)) ),
inference(resolution,[],[f20,f1]) ).
fof(f20,plain,
! [X8,X6,X7] : is_a_theorem(implies(implies(implies(not(X6),X7),X8),implies(X6,X8))),
inference(resolution,[],[f16,f4]) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/tmp/tmp.C6oVahU9fm/Vampire---4.8_16127',cn_3) ).
fof(f55,plain,
! [X6,X7,X5] : is_a_theorem(implies(implies(X5,X6),implies(not(implies(X7,X7)),X6))),
inference(resolution,[],[f51,f16]) ).
fof(f51,plain,
! [X6,X7] : is_a_theorem(implies(not(implies(X6,X6)),X7)),
inference(resolution,[],[f42,f7]) ).
fof(f7,plain,
! [X2,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(implies(not(X1),X2)) ),
inference(resolution,[],[f1,f4]) ).
fof(f42,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f27,f3]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(not(X0),X3),X1),X2))),
inference(resolution,[],[f20,f16]) ).
fof(f12522,plain,
! [X278,X277,X276] : is_a_theorem(implies(X276,implies(X277,implies(implies(X277,X278),X278)))),
inference(resolution,[],[f3572,f9660]) ).
fof(f9660,plain,
! [X56,X57,X55] : is_a_theorem(implies(X55,implies(X56,implies(implies(X55,X57),X57)))),
inference(resolution,[],[f3566,f4818]) ).
fof(f4818,plain,
! [X58,X56,X57] :
( ~ is_a_theorem(implies(implies(X58,X56),X57))
| is_a_theorem(implies(X56,X57)) ),
inference(resolution,[],[f4452,f1]) ).
fof(f4452,plain,
! [X68,X69,X67] : is_a_theorem(implies(implies(implies(X67,X68),X69),implies(X68,X69))),
inference(resolution,[],[f4390,f16]) ).
fof(f4390,plain,
! [X2,X3] : is_a_theorem(implies(X2,implies(X3,X2))),
inference(resolution,[],[f4360,f1321]) ).
fof(f4360,plain,
! [X3,X4,X5] : is_a_theorem(implies(X3,implies(X4,implies(X5,X4)))),
inference(resolution,[],[f4015,f654]) ).
fof(f4015,plain,
! [X90,X91,X88,X89] : is_a_theorem(implies(implies(implies(X88,implies(X89,X90)),X91),implies(X90,X91))),
inference(resolution,[],[f3916,f16]) ).
fof(f3916,plain,
! [X21,X22,X23] : is_a_theorem(implies(X21,implies(X22,implies(X23,X21)))),
inference(resolution,[],[f3381,f2074]) ).
fof(f2074,plain,
! [X18,X19,X17] : is_a_theorem(implies(implies(X17,implies(not(X18),X18)),implies(X19,implies(X17,X18)))),
inference(resolution,[],[f202,f400]) ).
fof(f3381,plain,
! [X70,X68,X69,X67] :
( ~ is_a_theorem(implies(implies(X69,implies(not(X67),X70)),X68))
| is_a_theorem(implies(X67,X68)) ),
inference(resolution,[],[f2169,f1]) ).
fof(f2169,plain,
! [X72,X70,X71,X69] : is_a_theorem(implies(implies(implies(X69,implies(not(X70),X71)),X72),implies(X70,X72))),
inference(resolution,[],[f2134,f16]) ).
fof(f2134,plain,
! [X21,X22,X20] : is_a_theorem(implies(X20,implies(X21,implies(not(X20),X22)))),
inference(resolution,[],[f2073,f27]) ).
fof(f2073,plain,
! [X16,X14,X15] : is_a_theorem(implies(implies(X14,X15),implies(X16,implies(X14,X15)))),
inference(resolution,[],[f202,f311]) ).
fof(f3566,plain,
! [X44,X42,X43] : is_a_theorem(implies(implies(not(X42),X43),implies(X44,implies(implies(X43,X42),X42)))),
inference(resolution,[],[f2074,f202]) ).
fof(f3572,plain,
! [X65,X66,X67] :
( ~ is_a_theorem(implies(X66,implies(not(X67),X67)))
| is_a_theorem(implies(X65,implies(X66,X67))) ),
inference(resolution,[],[f2074,f1]) ).
fof(f162724,plain,
! [X86,X84,X85] : is_a_theorem(implies(implies(X84,X85),implies(implies(implies(X84,X86),X85),X85))),
inference(resolution,[],[f126729,f202]) ).
fof(f126729,plain,
! [X88,X89,X87] : is_a_theorem(implies(implies(implies(X87,X88),X89),implies(implies(X89,X87),X87))),
inference(resolution,[],[f105453,f202]) ).
fof(f105453,plain,
! [X54,X52,X53] : is_a_theorem(implies(implies(X52,implies(implies(X53,X54),X53)),implies(X52,X53))),
inference(resolution,[],[f99969,f17655]) ).
fof(f17655,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f17599,f14515]) ).
fof(f14515,plain,
! [X62,X61] :
( ~ is_a_theorem(implies(not(X62),X61))
| is_a_theorem(implies(implies(X61,X62),X62)) ),
inference(resolution,[],[f14073,f1]) ).
fof(f14073,plain,
! [X50,X49] : is_a_theorem(implies(implies(not(X49),X50),implies(implies(X50,X49),X49))),
inference(resolution,[],[f13630,f202]) ).
fof(f13630,plain,
! [X34,X33] : is_a_theorem(implies(implies(X33,implies(not(X34),X34)),implies(X33,X34))),
inference(resolution,[],[f12730,f202]) ).
fof(f12730,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(resolution,[],[f12695,f3]) ).
fof(f12695,plain,
! [X94,X93] :
( ~ is_a_theorem(X93)
| is_a_theorem(implies(implies(X93,X94),X94)) ),
inference(resolution,[],[f12594,f1]) ).
fof(f17599,plain,
! [X50,X49] : is_a_theorem(implies(not(X49),implies(X49,X50))),
inference(resolution,[],[f16828,f13694]) ).
fof(f13694,plain,
! [X54,X52,X53] :
( ~ is_a_theorem(implies(implies(X53,implies(not(X53),X54)),X52))
| is_a_theorem(X52) ),
inference(resolution,[],[f12808,f1]) ).
fof(f12808,plain,
! [X333,X332,X331] : is_a_theorem(implies(implies(implies(X331,implies(not(X331),X332)),X333),X333)),
inference(resolution,[],[f12695,f4]) ).
fof(f99969,plain,
! [X152,X150,X151] :
( ~ is_a_theorem(implies(X151,X152))
| is_a_theorem(implies(implies(X150,X151),implies(X150,X152))) ),
inference(resolution,[],[f74724,f1]) ).
fof(f74724,plain,
! [X174,X175,X173] : is_a_theorem(implies(implies(X173,X174),implies(implies(X175,X173),implies(X175,X174)))),
inference(resolution,[],[f16833,f19]) ).
fof(f16833,plain,
! [X68,X69,X67] :
( ~ is_a_theorem(implies(implies(implies(X67,X69),X69),X68))
| is_a_theorem(implies(X67,X68)) ),
inference(resolution,[],[f12696,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL060-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 30 15:06:57 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.41 % (16250)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41 % (16252)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.18/0.41 % (16255)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.18/0.41 % (16251)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.18/0.41 % (16253)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)
% 0.18/0.41 % (16254)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.18/0.41 % (16257)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)
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [2]
% 0.18/0.41 TRYING [2]
% 0.18/0.41 TRYING [2]
% 0.18/0.41 TRYING [2]
% 0.18/0.41 % (16256)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.18/0.41 TRYING [3]
% 0.18/0.41 TRYING [3]
% 0.18/0.41 TRYING [3]
% 0.18/0.41 TRYING [3]
% 0.18/0.42 TRYING [4]
% 0.18/0.42 TRYING [4]
% 0.18/0.42 TRYING [4]
% 0.18/0.42 TRYING [4]
% 0.18/0.44 TRYING [5]
% 0.18/0.44 TRYING [5]
% 0.18/0.45 TRYING [5]
% 0.18/0.45 TRYING [5]
% 0.18/0.66 TRYING [6]
% 0.18/0.67 TRYING [6]
% 0.18/0.67 TRYING [6]
% 0.18/0.72 TRYING [6]
% 15.23/2.62 TRYING [7]
% 18.56/3.18 TRYING [7]
% 19.15/3.20 TRYING [7]
% 20.05/3.33 TRYING [7]
% 74.14/11.29 % (16255)First to succeed.
% 74.14/11.32 % (16255)Refutation found. Thanks to Tanya!
% 74.14/11.32 % SZS status Unsatisfiable for Vampire---4
% 74.14/11.32 % SZS output start Proof for Vampire---4
% See solution above
% 74.14/11.32 % (16255)------------------------------
% 74.14/11.32 % (16255)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 74.14/11.32 % (16255)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 74.14/11.32 % (16255)Termination reason: Refutation
% 74.14/11.32
% 74.14/11.32 % (16255)Memory used [KB]: 297052
% 74.14/11.32 % (16255)Time elapsed: 10.886 s
% 74.14/11.32 % (16255)------------------------------
% 74.14/11.32 % (16255)------------------------------
% 74.14/11.32 % (16250)Success in time 10.892 s
% 74.14/11.32 % Vampire---4.8 exiting
%------------------------------------------------------------------------------