TSTP Solution File: LCL096-10 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : LCL096-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n020.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 : 600s
% DateTime : Sun Jul 17 12:42:22 EDT 2022
% Result : Unsatisfiable 152.26s 38.48s
% Output : CNFRefutation 152.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL096-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34 % Computer : n020.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 : 600
% 0.12/0.34 % DateTime : Mon Jul 4 05:10:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 2620: Facts:
% 0.12/0.34 2620: Id : 2, {_}: ifeq ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.12/0.34 2620: Id : 3, {_}:
% 0.12/0.34 ifeq (is_a_theorem (equivalent ?6 ?7)) true
% 0.12/0.34 (ifeq (is_a_theorem ?6) true (is_a_theorem ?7) true) true
% 0.12/0.34 =>=
% 0.12/0.34 true
% 0.12/0.34 [7, 6] by condensed_detachment ?6 ?7
% 0.12/0.34 2620: Id : 4, {_}:
% 0.12/0.34 is_a_theorem
% 0.12/0.34 (equivalent
% 0.12/0.34 (equivalent
% 0.12/0.34 (equivalent
% 0.12/0.34 (equivalent (equivalent ?9 ?10) (equivalent ?9 ?11))
% 0.12/0.34 (equivalent ?10 ?11)) ?12) ?12)
% 0.12/0.34 =>=
% 0.12/0.34 true
% 0.12/0.34 [12, 11, 10, 9] by lg_2 ?9 ?10 ?11 ?12
% 0.12/0.34 2620: Id : 5, {_}:
% 0.12/0.34 is_a_theorem
% 0.12/0.34 (equivalent
% 0.12/0.34 (equivalent
% 0.12/0.34 (equivalent
% 0.12/0.34 (equivalent
% 0.12/0.34 (equivalent (equivalent ?14 ?15) (equivalent ?14 ?16)) ?17)
% 0.12/0.34 (equivalent (equivalent ?15 ?16) ?17)) ?18) ?18)
% 0.12/0.34 =>=
% 0.12/0.34 true
% 0.12/0.34 [18, 17, 16, 15, 14] by lg_3 ?14 ?15 ?16 ?17 ?18
% 0.12/0.34 2620: Id : 6, {_}:
% 0.12/0.34 is_a_theorem
% 0.12/0.34 (equivalent (equivalent (equivalent (equivalent ?20 ?21) ?22) ?23)
% 0.12/0.34 (equivalent (equivalent (equivalent ?20 ?24) ?22)
% 0.12/0.34 (equivalent (equivalent ?21 ?24) ?23)))
% 0.12/0.34 =>=
% 0.12/0.34 true
% 0.12/0.34 [24, 23, 22, 21, 20] by lg_4 ?20 ?21 ?22 ?23 ?24
% 0.12/0.34 2620: Goal:
% 0.12/0.34 2620: Id : 1, {_}:
% 0.12/0.34 is_a_theorem
% 0.12/0.34 (equivalent
% 0.12/0.34 (equivalent (equivalent a (equivalent (equivalent b b) a)) c) c)
% 0.12/0.34 =>=
% 0.12/0.34 true
% 0.12/0.34 [] by prove_lg_1
% 152.26/38.48 Statistics :
% 152.26/38.48 Max weight : 31
% 152.26/38.48 Found proof, 38.138903s
% 152.26/38.48 % SZS status Unsatisfiable for theBenchmark.p
% 152.26/38.48 % SZS output start CNFRefutation for theBenchmark.p
% 152.26/38.48 Id : 5, {_}: is_a_theorem (equivalent (equivalent (equivalent (equivalent (equivalent (equivalent ?14 ?15) (equivalent ?14 ?16)) ?17) (equivalent (equivalent ?15 ?16) ?17)) ?18) ?18) =>= true [18, 17, 16, 15, 14] by lg_3 ?14 ?15 ?16 ?17 ?18
% 152.26/38.48 Id : 6, {_}: is_a_theorem (equivalent (equivalent (equivalent (equivalent ?20 ?21) ?22) ?23) (equivalent (equivalent (equivalent ?20 ?24) ?22) (equivalent (equivalent ?21 ?24) ?23))) =>= true [24, 23, 22, 21, 20] by lg_4 ?20 ?21 ?22 ?23 ?24
% 152.26/38.48 Id : 2, {_}: ifeq ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 152.26/38.48 Id : 4, {_}: is_a_theorem (equivalent (equivalent (equivalent (equivalent (equivalent ?9 ?10) (equivalent ?9 ?11)) (equivalent ?10 ?11)) ?12) ?12) =>= true [12, 11, 10, 9] by lg_2 ?9 ?10 ?11 ?12
% 152.26/38.48 Id : 3, {_}: ifeq (is_a_theorem (equivalent ?6 ?7)) true (ifeq (is_a_theorem ?6) true (is_a_theorem ?7) true) true =>= true [7, 6] by condensed_detachment ?6 ?7
% 152.26/38.48 Id : 13, {_}: ifeq true true (ifeq (is_a_theorem (equivalent (equivalent (equivalent (equivalent ?48 ?49) (equivalent ?48 ?50)) (equivalent ?49 ?50)) ?51)) true (is_a_theorem ?51) true) true =>= true [51, 50, 49, 48] by Super 3 with 4 at 1,2
% 152.26/38.48 Id : 33, {_}: ifeq (is_a_theorem (equivalent (equivalent (equivalent (equivalent ?118 ?119) (equivalent ?118 ?120)) (equivalent ?119 ?120)) ?121)) true (is_a_theorem ?121) true =>= true [121, 120, 119, 118] by Demod 13 with 2 at 2
% 152.26/38.48 Id : 37, {_}: ifeq true true (is_a_theorem (equivalent (equivalent (equivalent ?149 ?150) (equivalent ?149 ?151)) (equivalent (equivalent ?152 ?150) (equivalent ?152 ?151)))) true =>= true [152, 151, 150, 149] by Super 33 with 6 at 1,2
% 152.26/38.48 Id : 41, {_}: is_a_theorem (equivalent (equivalent (equivalent ?149 ?150) (equivalent ?149 ?151)) (equivalent (equivalent ?152 ?150) (equivalent ?152 ?151))) =>= true [152, 151, 150, 149] by Demod 37 with 2 at 2
% 152.26/38.48 Id : 44, {_}: ifeq true true (ifeq (is_a_theorem (equivalent (equivalent ?167 ?168) (equivalent ?167 ?169))) true (is_a_theorem (equivalent (equivalent ?170 ?168) (equivalent ?170 ?169))) true) true =>= true [170, 169, 168, 167] by Super 3 with 41 at 1,2
% 152.26/38.48 Id : 49, {_}: ifeq (is_a_theorem (equivalent (equivalent ?167 ?168) (equivalent ?167 ?169))) true (is_a_theorem (equivalent (equivalent ?170 ?168) (equivalent ?170 ?169))) true =>= true [170, 169, 168, 167] by Demod 44 with 2 at 2
% 152.26/38.48 Id : 17, {_}: ifeq (is_a_theorem (equivalent (equivalent (equivalent (equivalent ?48 ?49) (equivalent ?48 ?50)) (equivalent ?49 ?50)) ?51)) true (is_a_theorem ?51) true =>= true [51, 50, 49, 48] by Demod 13 with 2 at 2
% 152.26/38.48 Id : 51, {_}: ifeq (is_a_theorem (equivalent (equivalent ?191 ?192) (equivalent ?191 ?193))) true (is_a_theorem (equivalent (equivalent ?194 ?192) (equivalent ?194 ?193))) true =>= true [194, 193, 192, 191] by Demod 44 with 2 at 2
% 152.26/38.48 Id : 59, {_}: ifeq true true (is_a_theorem (equivalent (equivalent ?234 (equivalent ?235 ?236)) (equivalent ?234 (equivalent ?235 ?236)))) true =>= true [236, 235, 234] by Super 51 with 41 at 1,2
% 152.26/38.48 Id : 66, {_}: is_a_theorem (equivalent (equivalent ?234 (equivalent ?235 ?236)) (equivalent ?234 (equivalent ?235 ?236))) =>= true [236, 235, 234] by Demod 59 with 2 at 2
% 152.26/38.48 Id : 88, {_}: ifeq true true (is_a_theorem (equivalent (equivalent (equivalent ?295 ?296) (equivalent ?295 ?297)) (equivalent ?296 ?297))) true =>= true [297, 296, 295] by Super 17 with 66 at 1,2
% 152.26/38.48 Id : 98, {_}: is_a_theorem (equivalent (equivalent (equivalent ?295 ?296) (equivalent ?295 ?297)) (equivalent ?296 ?297)) =>= true [297, 296, 295] by Demod 88 with 2 at 2
% 152.26/38.48 Id : 105, {_}: ifeq true true (ifeq (is_a_theorem (equivalent (equivalent ?330 ?331) (equivalent ?330 ?332))) true (is_a_theorem (equivalent ?331 ?332)) true) true =>= true [332, 331, 330] by Super 3 with 98 at 1,2
% 152.26/38.48 Id : 190, {_}: ifeq (is_a_theorem (equivalent (equivalent ?517 ?518) (equivalent ?517 ?519))) true (is_a_theorem (equivalent ?518 ?519)) true =>= true [519, 518, 517] by Demod 105 with 2 at 2
% 152.26/38.48 Id : 200, {_}: ifeq true true (is_a_theorem (equivalent ?573 (equivalent (equivalent ?574 ?574) ?573))) true =>= true [574, 573] by Super 190 with 6 at 1,2
% 152.26/38.49 Id : 213, {_}: is_a_theorem (equivalent ?573 (equivalent (equivalent ?574 ?574) ?573)) =>= true [574, 573] by Demod 200 with 2 at 2
% 152.26/38.49 Id : 224, {_}: ifeq true true (is_a_theorem (equivalent (equivalent ?610 ?610) (equivalent (equivalent (equivalent ?611 ?612) (equivalent ?611 ?613)) (equivalent ?612 ?613)))) true =>= true [613, 612, 611, 610] by Super 17 with 213 at 1,2
% 152.26/38.49 Id : 243, {_}: is_a_theorem (equivalent (equivalent ?610 ?610) (equivalent (equivalent (equivalent ?611 ?612) (equivalent ?611 ?613)) (equivalent ?612 ?613))) =>= true [613, 612, 611, 610] by Demod 224 with 2 at 2
% 152.26/38.49 Id : 1480, {_}: ifeq true true (is_a_theorem (equivalent (equivalent ?2753 (equivalent (equivalent ?2754 ?2755) (equivalent ?2754 ?2756))) (equivalent ?2753 (equivalent ?2755 ?2756)))) true =>= true [2756, 2755, 2754, 2753] by Super 49 with 243 at 1,2
% 152.26/38.49 Id : 1515, {_}: is_a_theorem (equivalent (equivalent ?2753 (equivalent (equivalent ?2754 ?2755) (equivalent ?2754 ?2756))) (equivalent ?2753 (equivalent ?2755 ?2756))) =>= true [2756, 2755, 2754, 2753] by Demod 1480 with 2 at 2
% 152.26/38.49 Id : 3413, {_}: ifeq true true (ifeq (is_a_theorem (equivalent ?6283 (equivalent (equivalent ?6284 ?6285) (equivalent ?6284 ?6286)))) true (is_a_theorem (equivalent ?6283 (equivalent ?6285 ?6286))) true) true =>= true [6286, 6285, 6284, 6283] by Super 3 with 1515 at 1,2
% 152.26/38.49 Id : 3458, {_}: ifeq (is_a_theorem (equivalent ?6283 (equivalent (equivalent ?6284 ?6285) (equivalent ?6284 ?6286)))) true (is_a_theorem (equivalent ?6283 (equivalent ?6285 ?6286))) true =>= true [6286, 6285, 6284, 6283] by Demod 3413 with 2 at 2
% 152.26/38.49 Id : 32064, {_}: ifeq (is_a_theorem (equivalent ?69586 (equivalent (equivalent ?69587 ?69588) (equivalent ?69587 ?69589)))) true (is_a_theorem (equivalent ?69586 (equivalent ?69588 ?69589))) true =>= true [69589, 69588, 69587, 69586] by Demod 3413 with 2 at 2
% 152.26/38.49 Id : 111, {_}: ifeq (is_a_theorem (equivalent (equivalent ?330 ?331) (equivalent ?330 ?332))) true (is_a_theorem (equivalent ?331 ?332)) true =>= true [332, 331, 330] by Demod 105 with 2 at 2
% 152.26/38.49 Id : 221, {_}: ifeq (is_a_theorem (equivalent (equivalent ?597 (equivalent (equivalent ?598 ?598) ?597)) ?599)) true (ifeq true true (is_a_theorem ?599) true) true =>= true [599, 598, 597] by Super 3 with 213 at 1,3,2
% 152.26/38.49 Id : 244, {_}: ifeq (is_a_theorem (equivalent (equivalent ?597 (equivalent (equivalent ?598 ?598) ?597)) ?599)) true (is_a_theorem ?599) true =>= true [599, 598, 597] by Demod 221 with 2 at 3,2
% 152.26/38.49 Id : 201, {_}: ifeq true true (is_a_theorem (equivalent (equivalent ?576 ?577) (equivalent ?576 ?577))) true =>= true [577, 576] by Super 190 with 41 at 1,2
% 152.26/38.49 Id : 214, {_}: is_a_theorem (equivalent (equivalent ?576 ?577) (equivalent ?576 ?577)) =>= true [577, 576] by Demod 201 with 2 at 2
% 152.26/38.49 Id : 270, {_}: ifeq true true (is_a_theorem (equivalent ?691 ?691)) true =>= true [691] by Super 111 with 214 at 1,2
% 152.26/38.49 Id : 277, {_}: is_a_theorem (equivalent ?691 ?691) =>= true [691] by Demod 270 with 2 at 2
% 152.26/38.49 Id : 302, {_}: ifeq (is_a_theorem (equivalent (equivalent ?728 ?728) ?729)) true (ifeq true true (is_a_theorem ?729) true) true =>= true [729, 728] by Super 3 with 277 at 1,3,2
% 152.26/38.49 Id : 473, {_}: ifeq (is_a_theorem (equivalent (equivalent ?964 ?964) ?965)) true (is_a_theorem ?965) true =>= true [965, 964] by Demod 302 with 2 at 3,2
% 152.26/38.49 Id : 484, {_}: ifeq true true (is_a_theorem (equivalent (equivalent (equivalent (equivalent ?1018 ?1019) (equivalent ?1018 ?1020)) ?1021) (equivalent (equivalent ?1019 ?1020) ?1021))) true =>= true [1021, 1020, 1019, 1018] by Super 473 with 5 at 1,2
% 152.26/38.49 Id : 498, {_}: is_a_theorem (equivalent (equivalent (equivalent (equivalent ?1018 ?1019) (equivalent ?1018 ?1020)) ?1021) (equivalent (equivalent ?1019 ?1020) ?1021)) =>= true [1021, 1020, 1019, 1018] by Demod 484 with 2 at 2
% 152.26/38.49 Id : 1599, {_}: ifeq true true (is_a_theorem (equivalent (equivalent ?2984 ?2985) (equivalent (equivalent ?2986 ?2986) (equivalent (equivalent ?2987 ?2984) (equivalent ?2987 ?2985))))) true =>= true [2987, 2986, 2985, 2984] by Super 244 with 498 at 1,2
% 152.26/38.49 Id : 1650, {_}: is_a_theorem (equivalent (equivalent ?2984 ?2985) (equivalent (equivalent ?2986 ?2986) (equivalent (equivalent ?2987 ?2984) (equivalent ?2987 ?2985)))) =>= true [2987, 2986, 2985, 2984] by Demod 1599 with 2 at 2
% 152.26/38.49 Id : 3722, {_}: ifeq true true (is_a_theorem (equivalent ?6814 (equivalent (equivalent ?6815 (equivalent ?6816 ?6816)) (equivalent ?6815 ?6814)))) true =>= true [6816, 6815, 6814] by Super 111 with 1650 at 1,2
% 152.26/38.50 Id : 3783, {_}: is_a_theorem (equivalent ?6814 (equivalent (equivalent ?6815 (equivalent ?6816 ?6816)) (equivalent ?6815 ?6814))) =>= true [6816, 6815, 6814] by Demod 3722 with 2 at 2
% 152.26/38.50 Id : 3822, {_}: ifeq true true (is_a_theorem (equivalent (equivalent ?7016 ?7017) (equivalent ?7016 (equivalent ?7018 (equivalent (equivalent ?7018 (equivalent ?7019 ?7019)) ?7017))))) true =>= true [7019, 7018, 7017, 7016] by Super 49 with 3783 at 1,2
% 152.26/38.50 Id : 3890, {_}: is_a_theorem (equivalent (equivalent ?7016 ?7017) (equivalent ?7016 (equivalent ?7018 (equivalent (equivalent ?7018 (equivalent ?7019 ?7019)) ?7017)))) =>= true [7019, 7018, 7017, 7016] by Demod 3822 with 2 at 2
% 152.26/38.50 Id : 32279, {_}: ifeq true true (is_a_theorem (equivalent (equivalent (equivalent ?70762 ?70763) ?70764) (equivalent ?70763 (equivalent (equivalent ?70762 (equivalent ?70765 ?70765)) ?70764)))) true =>= true [70765, 70764, 70763, 70762] by Super 32064 with 3890 at 1,2
% 152.26/38.50 Id : 32534, {_}: is_a_theorem (equivalent (equivalent (equivalent ?70762 ?70763) ?70764) (equivalent ?70763 (equivalent (equivalent ?70762 (equivalent ?70765 ?70765)) ?70764))) =>= true [70765, 70764, 70763, 70762] by Demod 32279 with 2 at 2
% 152.26/38.50 Id : 33085, {_}: ifeq true true (is_a_theorem (equivalent (equivalent (equivalent ?72334 (equivalent (equivalent ?72334 (equivalent ?72335 ?72335)) ?72336)) ?72337) (equivalent ?72336 ?72337))) true =>= true [72337, 72336, 72335, 72334] by Super 3458 with 32534 at 1,2
% 152.26/38.50 Id : 33113, {_}: is_a_theorem (equivalent (equivalent (equivalent ?72334 (equivalent (equivalent ?72334 (equivalent ?72335 ?72335)) ?72336)) ?72337) (equivalent ?72336 ?72337)) =>= true [72337, 72336, 72335, 72334] by Demod 33085 with 2 at 2
% 152.26/38.50 Id : 45878, {_}: ifeq true true (ifeq (is_a_theorem (equivalent (equivalent ?101493 (equivalent (equivalent ?101493 (equivalent ?101494 ?101494)) ?101495)) ?101496)) true (is_a_theorem (equivalent ?101495 ?101496)) true) true =>= true [101496, 101495, 101494, 101493] by Super 3 with 33113 at 1,2
% 152.26/38.50 Id : 262406, {_}: ifeq (is_a_theorem (equivalent (equivalent ?664395 (equivalent (equivalent ?664395 (equivalent ?664396 ?664396)) ?664397)) ?664398)) true (is_a_theorem (equivalent ?664397 ?664398)) true =>= true [664398, 664397, 664396, 664395] by Demod 45878 with 2 at 2
% 152.26/38.50 Id : 1605, {_}: ifeq true true (ifeq (is_a_theorem (equivalent (equivalent (equivalent ?3012 ?3013) (equivalent ?3012 ?3014)) ?3015)) true (is_a_theorem (equivalent (equivalent ?3013 ?3014) ?3015)) true) true =>= true [3015, 3014, 3013, 3012] by Super 3 with 498 at 1,2
% 152.26/38.50 Id : 23051, {_}: ifeq (is_a_theorem (equivalent (equivalent (equivalent ?47548 ?47549) (equivalent ?47548 ?47550)) ?47551)) true (is_a_theorem (equivalent (equivalent ?47549 ?47550) ?47551)) true =>= true [47551, 47550, 47549, 47548] by Demod 1605 with 2 at 2
% 152.26/38.50 Id : 23178, {_}: ifeq true true (is_a_theorem (equivalent (equivalent (equivalent ?48314 ?48315) ?48316) (equivalent (equivalent (equivalent ?48317 ?48314) (equivalent ?48317 ?48315)) ?48316))) true =>= true [48317, 48316, 48315, 48314] by Super 23051 with 4 at 1,2
% 152.26/38.50 Id : 23363, {_}: is_a_theorem (equivalent (equivalent (equivalent ?48314 ?48315) ?48316) (equivalent (equivalent (equivalent ?48317 ?48314) (equivalent ?48317 ?48315)) ?48316)) =>= true [48317, 48316, 48315, 48314] by Demod 23178 with 2 at 2
% 152.26/38.50 Id : 32327, {_}: ifeq true true (is_a_theorem (equivalent (equivalent (equivalent ?70983 ?70984) (equivalent (equivalent ?70985 ?70983) ?70986)) (equivalent (equivalent ?70985 ?70984) ?70986))) true =>= true [70986, 70985, 70984, 70983] by Super 32064 with 23363 at 1,2
% 152.26/38.50 Id : 32615, {_}: is_a_theorem (equivalent (equivalent (equivalent ?70983 ?70984) (equivalent (equivalent ?70985 ?70983) ?70986)) (equivalent (equivalent ?70985 ?70984) ?70986)) =>= true [70986, 70985, 70984, 70983] by Demod 32327 with 2 at 2
% 152.26/38.50 Id : 35069, {_}: ifeq true true (is_a_theorem (equivalent (equivalent ?76518 (equivalent (equivalent ?76519 ?76519) ?76520)) (equivalent ?76518 ?76520))) true =>= true [76520, 76519, 76518] by Super 49 with 32615 at 1,2
% 152.26/38.50 Id : 35159, {_}: is_a_theorem (equivalent (equivalent ?76518 (equivalent (equivalent ?76519 ?76519) ?76520)) (equivalent ?76518 ?76520)) =>= true [76520, 76519, 76518] by Demod 35069 with 2 at 2
% 152.26/38.50 Id : 35819, {_}: ifeq true true (ifeq (is_a_theorem (equivalent ?77755 (equivalent (equivalent ?77756 ?77756) ?77757))) true (is_a_theorem (equivalent ?77755 ?77757)) true) true =>= true [77757, 77756, 77755] by Super 3 with 35159 at 1,2
% 152.26/38.50 Id : 39046, {_}: ifeq (is_a_theorem (equivalent ?84096 (equivalent (equivalent ?84097 ?84097) ?84098))) true (is_a_theorem (equivalent ?84096 ?84098)) true =>= true [84098, 84097, 84096] by Demod 35819 with 2 at 2
% 152.26/38.50 Id : 39386, {_}: ifeq true true (is_a_theorem (equivalent (equivalent (equivalent ?85827 ?85828) (equivalent (equivalent ?85828 ?85827) ?85829)) ?85829)) true =>= true [85829, 85828, 85827] by Super 39046 with 32615 at 1,2
% 152.26/38.50 Id : 39732, {_}: is_a_theorem (equivalent (equivalent (equivalent ?85827 ?85828) (equivalent (equivalent ?85828 ?85827) ?85829)) ?85829) =>= true [85829, 85828, 85827] by Demod 39386 with 2 at 2
% 152.26/38.50 Id : 39792, {_}: ifeq true true (is_a_theorem (equivalent (equivalent ?86059 (equivalent (equivalent ?86060 ?86061) (equivalent (equivalent ?86061 ?86060) ?86062))) (equivalent ?86059 ?86062))) true =>= true [86062, 86061, 86060, 86059] by Super 49 with 39732 at 1,2
% 152.26/38.50 Id : 39906, {_}: is_a_theorem (equivalent (equivalent ?86059 (equivalent (equivalent ?86060 ?86061) (equivalent (equivalent ?86061 ?86060) ?86062))) (equivalent ?86059 ?86062)) =>= true [86062, 86061, 86060, 86059] by Demod 39792 with 2 at 2
% 152.26/38.50 Id : 81157, {_}: ifeq true true (is_a_theorem (equivalent (equivalent (equivalent ?172240 (equivalent ?172241 ?172242)) (equivalent ?172240 (equivalent (equivalent ?172242 ?172241) ?172243))) ?172243)) true =>= true [172243, 172242, 172241, 172240] by Super 17 with 39906 at 1,2
% 152.26/38.50 Id : 81289, {_}: is_a_theorem (equivalent (equivalent (equivalent ?172240 (equivalent ?172241 ?172242)) (equivalent ?172240 (equivalent (equivalent ?172242 ?172241) ?172243))) ?172243) =>= true [172243, 172242, 172241, 172240] by Demod 81157 with 2 at 2
% 152.26/38.50 Id : 96465, {_}: ifeq true true (is_a_theorem (equivalent (equivalent ?204784 (equivalent (equivalent ?204785 ?204786) (equivalent (equivalent ?204784 (equivalent ?204786 ?204785)) ?204787))) ?204787)) true =>= true [204787, 204786, 204785, 204784] by Super 111 with 81289 at 1,2
% 152.26/38.50 Id : 96570, {_}: is_a_theorem (equivalent (equivalent ?204784 (equivalent (equivalent ?204785 ?204786) (equivalent (equivalent ?204784 (equivalent ?204786 ?204785)) ?204787))) ?204787) =>= true [204787, 204786, 204785, 204784] by Demod 96465 with 2 at 2
% 152.26/38.50 Id : 263049, {_}: ifeq true true (is_a_theorem (equivalent (equivalent (equivalent ?668399 (equivalent (equivalent ?668400 ?668400) ?668399)) ?668401) ?668401)) true =>= true [668401, 668400, 668399] by Super 262406 with 96570 at 1,2
% 152.26/38.50 Id : 263477, {_}: is_a_theorem (equivalent (equivalent (equivalent ?668399 (equivalent (equivalent ?668400 ?668400) ?668399)) ?668401) ?668401) =>= true [668401, 668400, 668399] by Demod 263049 with 2 at 2
% 152.26/38.50 Id : 265042, {_}: true === true [] by Demod 1 with 263477 at 2
% 152.26/38.50 Id : 1, {_}: is_a_theorem (equivalent (equivalent (equivalent a (equivalent (equivalent b b) a)) c) c) =>= true [] by prove_lg_1
% 152.26/38.50 % SZS output end CNFRefutation for theBenchmark.p
% 152.26/38.50 2623: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 38.091603 using nrkbo
%------------------------------------------------------------------------------