TSTP Solution File: LCL026-10 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : LCL026-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n006.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 12:41:56 EDT 2022
% Result : Unsatisfiable 188.71s 47.51s
% Output : CNFRefutation 188.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL026-10 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jul 4 13:48:52 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.32 21985: Facts:
% 0.17/0.33 21985: Id : 2, {_}: ifeq ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.17/0.33 21985: Id : 3, {_}:
% 0.17/0.33 ifeq (is_a_theorem (implies ?6 ?7)) true
% 0.17/0.33 (ifeq (is_a_theorem ?6) true (is_a_theorem ?7) true) true
% 0.17/0.33 =>=
% 0.17/0.33 true
% 0.17/0.33 [7, 6] by condensed_detachment ?6 ?7
% 0.17/0.33 21985: Id : 4, {_}:
% 0.17/0.33 is_a_theorem (implies ?9 (implies ?10 ?9)) =>= true
% 0.17/0.33 [10, 9] by c0_2 ?9 ?10
% 0.17/0.33 21985: Id : 5, {_}:
% 0.17/0.33 is_a_theorem
% 0.17/0.33 (implies (implies (implies ?12 falsehood) falsehood) ?12)
% 0.17/0.33 =>=
% 0.17/0.33 true
% 0.17/0.33 [12] by c0_5 ?12
% 0.17/0.33 21985: Id : 6, {_}:
% 0.17/0.33 is_a_theorem
% 0.17/0.33 (implies (implies ?14 (implies ?15 ?16))
% 0.17/0.33 (implies (implies ?14 ?15) (implies ?14 ?16)))
% 0.17/0.33 =>=
% 0.17/0.33 true
% 0.17/0.33 [16, 15, 14] by c0_6 ?14 ?15 ?16
% 0.17/0.33 21985: Goal:
% 0.17/0.33 21985: Id : 1, {_}:
% 0.17/0.33 is_a_theorem (implies (implies (implies a b) a) a) =>= true
% 0.17/0.33 [] by prove_c0_3
% 188.71/47.51 Statistics :
% 188.71/47.51 Max weight : 34
% 188.71/47.51 Found proof, 47.183233s
% 188.71/47.51 % SZS status Unsatisfiable for theBenchmark.p
% 188.71/47.51 % SZS output start CNFRefutation for theBenchmark.p
% 188.71/47.51 Id : 5, {_}: is_a_theorem (implies (implies (implies ?12 falsehood) falsehood) ?12) =>= true [12] by c0_5 ?12
% 188.71/47.51 Id : 4, {_}: is_a_theorem (implies ?9 (implies ?10 ?9)) =>= true [10, 9] by c0_2 ?9 ?10
% 188.71/47.51 Id : 2, {_}: ifeq ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 188.71/47.51 Id : 6, {_}: is_a_theorem (implies (implies ?14 (implies ?15 ?16)) (implies (implies ?14 ?15) (implies ?14 ?16))) =>= true [16, 15, 14] by c0_6 ?14 ?15 ?16
% 188.71/47.51 Id : 3, {_}: ifeq (is_a_theorem (implies ?6 ?7)) true (ifeq (is_a_theorem ?6) true (is_a_theorem ?7) true) true =>= true [7, 6] by condensed_detachment ?6 ?7
% 188.71/47.51 Id : 27, {_}: ifeq true true (ifeq (is_a_theorem (implies ?64 (implies ?65 ?66))) true (is_a_theorem (implies (implies ?64 ?65) (implies ?64 ?66))) true) true =>= true [66, 65, 64] by Super 3 with 6 at 1,2
% 188.71/47.51 Id : 31, {_}: ifeq (is_a_theorem (implies ?64 (implies ?65 ?66))) true (is_a_theorem (implies (implies ?64 ?65) (implies ?64 ?66))) true =>= true [66, 65, 64] by Demod 27 with 2 at 2
% 188.71/47.51 Id : 13, {_}: ifeq true true (ifeq (is_a_theorem ?36) true (is_a_theorem (implies ?37 ?36)) true) true =>= true [37, 36] by Super 3 with 4 at 1,2
% 188.71/47.51 Id : 17, {_}: ifeq (is_a_theorem ?36) true (is_a_theorem (implies ?37 ?36)) true =>= true [37, 36] by Demod 13 with 2 at 2
% 188.71/47.51 Id : 984, {_}: ifeq (is_a_theorem (implies ?1540 (implies ?1541 ?1542))) true (is_a_theorem (implies (implies ?1540 ?1541) (implies ?1540 ?1542))) true =>= true [1542, 1541, 1540] by Demod 27 with 2 at 2
% 188.71/47.51 Id : 57, {_}: ifeq (is_a_theorem ?117) true (is_a_theorem (implies ?118 ?117)) true =>= true [118, 117] by Demod 13 with 2 at 2
% 188.71/47.51 Id : 62, {_}: ifeq true true (is_a_theorem (implies ?133 (implies (implies (implies ?134 falsehood) falsehood) ?134))) true =>= true [134, 133] by Super 57 with 5 at 1,2
% 188.71/47.51 Id : 69, {_}: is_a_theorem (implies ?133 (implies (implies (implies ?134 falsehood) falsehood) ?134)) =>= true [134, 133] by Demod 62 with 2 at 2
% 188.71/47.51 Id : 1002, {_}: ifeq true true (is_a_theorem (implies (implies ?1608 (implies (implies ?1609 falsehood) falsehood)) (implies ?1608 ?1609))) true =>= true [1609, 1608] by Super 984 with 69 at 1,2
% 188.71/47.51 Id : 1033, {_}: is_a_theorem (implies (implies ?1608 (implies (implies ?1609 falsehood) falsehood)) (implies ?1608 ?1609)) =>= true [1609, 1608] by Demod 1002 with 2 at 2
% 188.71/47.51 Id : 1436, {_}: ifeq true true (ifeq (is_a_theorem (implies ?2325 (implies (implies ?2326 falsehood) falsehood))) true (is_a_theorem (implies ?2325 ?2326)) true) true =>= true [2326, 2325] by Super 3 with 1033 at 1,2
% 188.71/47.51 Id : 22596, {_}: ifeq (is_a_theorem (implies ?34428 (implies (implies ?34429 falsehood) falsehood))) true (is_a_theorem (implies ?34428 ?34429)) true =>= true [34429, 34428] by Demod 1436 with 2 at 2
% 188.71/47.51 Id : 12, {_}: ifeq (is_a_theorem (implies (implies ?32 (implies ?33 ?32)) ?34)) true (ifeq true true (is_a_theorem ?34) true) true =>= true [34, 33, 32] by Super 3 with 4 at 1,3,2
% 188.71/47.51 Id : 16, {_}: ifeq (is_a_theorem (implies (implies ?32 (implies ?33 ?32)) ?34)) true (is_a_theorem ?34) true =>= true [34, 33, 32] by Demod 12 with 2 at 3,2
% 188.71/47.51 Id : 72, {_}: ifeq (is_a_theorem (implies (implies ?146 (implies ?147 ?146)) ?148)) true (is_a_theorem ?148) true =>= true [148, 147, 146] by Demod 12 with 2 at 3,2
% 188.71/47.51 Id : 77, {_}: ifeq true true (is_a_theorem (implies (implies ?169 ?170) (implies ?169 ?169))) true =>= true [170, 169] by Super 72 with 6 at 1,2
% 188.71/47.51 Id : 84, {_}: is_a_theorem (implies (implies ?169 ?170) (implies ?169 ?169)) =>= true [170, 169] by Demod 77 with 2 at 2
% 188.71/47.51 Id : 132, {_}: ifeq true true (is_a_theorem (implies ?245 ?245)) true =>= true [245] by Super 16 with 84 at 1,2
% 188.71/47.51 Id : 136, {_}: is_a_theorem (implies ?245 ?245) =>= true [245] by Demod 132 with 2 at 2
% 188.71/47.51 Id : 197, {_}: ifeq (is_a_theorem (implies (implies ?323 ?323) ?324)) true (ifeq true true (is_a_theorem ?324) true) true =>= true [324, 323] by Super 3 with 136 at 1,3,2
% 188.71/47.51 Id : 448, {_}: ifeq (is_a_theorem (implies (implies ?657 ?657) ?658)) true (is_a_theorem ?658) true =>= true [658, 657] by Demod 197 with 2 at 3,2
% 188.71/47.51 Id : 459, {_}: ifeq true true (is_a_theorem (implies (implies (implies ?702 ?703) ?702) (implies (implies ?702 ?703) ?703))) true =>= true [703, 702] by Super 448 with 6 at 1,2
% 188.71/47.51 Id : 480, {_}: is_a_theorem (implies (implies (implies ?702 ?703) ?702) (implies (implies ?702 ?703) ?703)) =>= true [703, 702] by Demod 459 with 2 at 2
% 188.71/47.51 Id : 22704, {_}: ifeq true true (is_a_theorem (implies (implies (implies ?34861 falsehood) ?34861) ?34861)) true =>= true [34861] by Super 22596 with 480 at 1,2
% 188.71/47.51 Id : 22870, {_}: is_a_theorem (implies (implies (implies ?34861 falsehood) ?34861) ?34861) =>= true [34861] by Demod 22704 with 2 at 2
% 188.71/47.51 Id : 23009, {_}: ifeq true true (is_a_theorem (implies ?35133 (implies (implies (implies ?35134 falsehood) ?35134) ?35134))) true =>= true [35134, 35133] by Super 17 with 22870 at 1,2
% 188.71/47.51 Id : 23154, {_}: is_a_theorem (implies ?35133 (implies (implies (implies ?35134 falsehood) ?35134) ?35134)) =>= true [35134, 35133] by Demod 23009 with 2 at 2
% 188.71/47.51 Id : 23735, {_}: ifeq true true (is_a_theorem (implies (implies ?35998 (implies (implies ?35999 falsehood) ?35999)) (implies ?35998 ?35999))) true =>= true [35999, 35998] by Super 31 with 23154 at 1,2
% 188.71/47.51 Id : 23897, {_}: is_a_theorem (implies (implies ?35998 (implies (implies ?35999 falsehood) ?35999)) (implies ?35998 ?35999)) =>= true [35999, 35998] by Demod 23735 with 2 at 2
% 188.71/47.51 Id : 27725, {_}: ifeq true true (ifeq (is_a_theorem (implies ?41231 (implies (implies ?41232 falsehood) ?41232))) true (is_a_theorem (implies ?41231 ?41232)) true) true =>= true [41232, 41231] by Super 3 with 23897 at 1,2
% 188.71/47.51 Id : 154807, {_}: ifeq (is_a_theorem (implies ?232165 (implies (implies ?232166 falsehood) ?232166))) true (is_a_theorem (implies ?232165 ?232166)) true =>= true [232166, 232165] by Demod 27725 with 2 at 2
% 188.71/47.51 Id : 61, {_}: ifeq true true (is_a_theorem (implies ?129 (implies ?130 (implies ?131 ?130)))) true =>= true [131, 130, 129] by Super 57 with 4 at 1,2
% 188.71/47.51 Id : 68, {_}: is_a_theorem (implies ?129 (implies ?130 (implies ?131 ?130))) =>= true [131, 130, 129] by Demod 61 with 2 at 2
% 188.71/47.51 Id : 1001, {_}: ifeq true true (is_a_theorem (implies (implies ?1604 ?1605) (implies ?1604 (implies ?1606 ?1605)))) true =>= true [1606, 1605, 1604] by Super 984 with 68 at 1,2
% 188.71/47.51 Id : 1032, {_}: is_a_theorem (implies (implies ?1604 ?1605) (implies ?1604 (implies ?1606 ?1605))) =>= true [1606, 1605, 1604] by Demod 1001 with 2 at 2
% 188.71/47.51 Id : 155129, {_}: ifeq true true (is_a_theorem (implies (implies (implies (implies ?233499 ?233500) falsehood) ?233500) (implies ?233499 ?233500))) true =>= true [233500, 233499] by Super 154807 with 1032 at 1,2
% 188.71/47.51 Id : 155720, {_}: is_a_theorem (implies (implies (implies (implies ?233499 ?233500) falsehood) ?233500) (implies ?233499 ?233500)) =>= true [233500, 233499] by Demod 155129 with 2 at 2
% 188.71/47.51 Id : 157669, {_}: ifeq true true (ifeq (is_a_theorem (implies (implies (implies ?236507 ?236508) falsehood) ?236508)) true (is_a_theorem (implies ?236507 ?236508)) true) true =>= true [236508, 236507] by Super 3 with 155720 at 1,2
% 188.71/47.51 Id : 157977, {_}: ifeq (is_a_theorem (implies (implies (implies ?236507 ?236508) falsehood) ?236508)) true (is_a_theorem (implies ?236507 ?236508)) true =>= true [236508, 236507] by Demod 157669 with 2 at 2
% 188.71/47.51 Id : 1067, {_}: ifeq true true (ifeq (is_a_theorem (implies ?1711 ?1712)) true (is_a_theorem (implies ?1711 (implies ?1713 ?1712))) true) true =>= true [1713, 1712, 1711] by Super 3 with 1032 at 1,2
% 188.71/47.51 Id : 1108, {_}: ifeq (is_a_theorem (implies ?1711 ?1712)) true (is_a_theorem (implies ?1711 (implies ?1713 ?1712))) true =>= true [1713, 1712, 1711] by Demod 1067 with 2 at 2
% 188.71/47.51 Id : 22969, {_}: ifeq true true (is_a_theorem (implies (implies (implies ?35054 falsehood) ?35054) (implies ?35055 ?35054))) true =>= true [35055, 35054] by Super 1108 with 22870 at 1,2
% 188.71/47.51 Id : 23181, {_}: is_a_theorem (implies (implies (implies ?35054 falsehood) ?35054) (implies ?35055 ?35054)) =>= true [35055, 35054] by Demod 22969 with 2 at 2
% 188.71/47.51 Id : 24430, {_}: ifeq true true (ifeq (is_a_theorem (implies (implies ?36963 falsehood) ?36963)) true (is_a_theorem (implies ?36964 ?36963)) true) true =>= true [36964, 36963] by Super 3 with 23181 at 1,2
% 188.71/47.51 Id : 24586, {_}: ifeq (is_a_theorem (implies (implies ?36963 falsehood) ?36963)) true (is_a_theorem (implies ?36964 ?36963)) true =>= true [36964, 36963] by Demod 24430 with 2 at 2
% 188.71/47.51 Id : 101, {_}: ifeq (is_a_theorem (implies (implies ?195 (implies ?196 (implies ?197 ?196))) ?198)) true (ifeq true true (is_a_theorem ?198) true) true =>= true [198, 197, 196, 195] by Super 3 with 68 at 1,3,2
% 188.71/47.51 Id : 117, {_}: ifeq (is_a_theorem (implies (implies ?195 (implies ?196 (implies ?197 ?196))) ?198)) true (is_a_theorem ?198) true =>= true [198, 197, 196, 195] by Demod 101 with 2 at 3,2
% 188.71/47.51 Id : 26, {_}: ifeq (is_a_theorem (implies (implies (implies ?59 (implies ?60 ?61)) (implies (implies ?59 ?60) (implies ?59 ?61))) ?62)) true (ifeq true true (is_a_theorem ?62) true) true =>= true [62, 61, 60, 59] by Super 3 with 6 at 1,3,2
% 188.71/47.51 Id : 553, {_}: ifeq (is_a_theorem (implies (implies (implies ?826 (implies ?827 ?828)) (implies (implies ?826 ?827) (implies ?826 ?828))) ?829)) true (is_a_theorem ?829) true =>= true [829, 828, 827, 826] by Demod 26 with 2 at 3,2
% 188.71/47.51 Id : 565, {_}: ifeq true true (is_a_theorem (implies (implies (implies ?901 (implies ?902 ?903)) (implies ?901 ?902)) (implies (implies ?901 (implies ?902 ?903)) (implies ?901 ?903)))) true =>= true [903, 902, 901] by Super 553 with 6 at 1,2
% 188.71/47.51 Id : 586, {_}: is_a_theorem (implies (implies (implies ?901 (implies ?902 ?903)) (implies ?901 ?902)) (implies (implies ?901 (implies ?902 ?903)) (implies ?901 ?903))) =>= true [903, 902, 901] by Demod 565 with 2 at 2
% 188.71/47.51 Id : 26024, {_}: ifeq true true (is_a_theorem (implies (implies ?39023 (implies (implies ?39024 ?39023) ?39025)) (implies ?39023 ?39025))) true =>= true [39025, 39024, 39023] by Super 117 with 586 at 1,2
% 188.71/47.51 Id : 26164, {_}: is_a_theorem (implies (implies ?39023 (implies (implies ?39024 ?39023) ?39025)) (implies ?39023 ?39025)) =>= true [39025, 39024, 39023] by Demod 26024 with 2 at 2
% 188.71/47.51 Id : 35239, {_}: ifeq true true (ifeq (is_a_theorem (implies ?51614 (implies (implies ?51615 ?51614) ?51616))) true (is_a_theorem (implies ?51614 ?51616)) true) true =>= true [51616, 51615, 51614] by Super 3 with 26164 at 1,2
% 188.71/47.51 Id : 397340, {_}: ifeq (is_a_theorem (implies ?597321 (implies (implies ?597322 ?597321) ?597323))) true (is_a_theorem (implies ?597321 ?597323)) true =>= true [597323, 597322, 597321] by Demod 35239 with 2 at 2
% 188.71/47.51 Id : 1433, {_}: ifeq true true (is_a_theorem (implies falsehood ?2315)) true =>= true [2315] by Super 16 with 1033 at 1,2
% 188.71/47.51 Id : 1481, {_}: is_a_theorem (implies falsehood ?2315) =>= true [2315] by Demod 1433 with 2 at 2
% 188.71/47.51 Id : 1500, {_}: ifeq true true (is_a_theorem (implies ?2409 (implies falsehood ?2410))) true =>= true [2410, 2409] by Super 17 with 1481 at 1,2
% 188.71/47.51 Id : 1545, {_}: is_a_theorem (implies ?2409 (implies falsehood ?2410)) =>= true [2410, 2409] by Demod 1500 with 2 at 2
% 188.71/47.51 Id : 1697, {_}: ifeq true true (is_a_theorem (implies (implies ?2649 falsehood) (implies ?2649 ?2650))) true =>= true [2650, 2649] by Super 31 with 1545 at 1,2
% 188.71/47.51 Id : 1785, {_}: is_a_theorem (implies (implies ?2649 falsehood) (implies ?2649 ?2650)) =>= true [2650, 2649] by Demod 1697 with 2 at 2
% 188.71/47.51 Id : 1895, {_}: ifeq true true (is_a_theorem (implies (implies (implies ?2906 falsehood) ?2906) (implies (implies ?2906 falsehood) ?2907))) true =>= true [2907, 2906] by Super 31 with 1785 at 1,2
% 188.71/47.51 Id : 1974, {_}: is_a_theorem (implies (implies (implies ?2906 falsehood) ?2906) (implies (implies ?2906 falsehood) ?2907)) =>= true [2907, 2906] by Demod 1895 with 2 at 2
% 188.71/47.51 Id : 3870, {_}: ifeq true true (is_a_theorem (implies ?5619 (implies (implies (implies ?5620 falsehood) ?5620) (implies (implies ?5620 falsehood) ?5621)))) true =>= true [5621, 5620, 5619] by Super 17 with 1974 at 1,2
% 188.71/47.51 Id : 3940, {_}: is_a_theorem (implies ?5619 (implies (implies (implies ?5620 falsehood) ?5620) (implies (implies ?5620 falsehood) ?5621))) =>= true [5621, 5620, 5619] by Demod 3870 with 2 at 2
% 188.71/47.51 Id : 397917, {_}: ifeq true true (is_a_theorem (implies ?600315 (implies (implies ?600315 falsehood) ?600316))) true =>= true [600316, 600315] by Super 397340 with 3940 at 1,2
% 188.71/47.51 Id : 398843, {_}: is_a_theorem (implies ?600315 (implies (implies ?600315 falsehood) ?600316)) =>= true [600316, 600315] by Demod 397917 with 2 at 2
% 188.71/47.51 Id : 399648, {_}: ifeq true true (is_a_theorem (implies ?601815 (implies ?601816 (implies (implies ?601816 falsehood) ?601817)))) true =>= true [601817, 601816, 601815] by Super 17 with 398843 at 1,2
% 188.71/47.51 Id : 400312, {_}: is_a_theorem (implies ?601815 (implies ?601816 (implies (implies ?601816 falsehood) ?601817))) =>= true [601817, 601816, 601815] by Demod 399648 with 2 at 2
% 188.71/47.51 Id : 405601, {_}: ifeq true true (is_a_theorem (implies (implies ?611999 ?612000) (implies ?611999 (implies (implies ?612000 falsehood) ?612001)))) true =>= true [612001, 612000, 611999] by Super 31 with 400312 at 1,2
% 188.71/47.51 Id : 406444, {_}: is_a_theorem (implies (implies ?611999 ?612000) (implies ?611999 (implies (implies ?612000 falsehood) ?612001))) =>= true [612001, 612000, 611999] by Demod 405601 with 2 at 2
% 188.71/47.51 Id : 431180, {_}: ifeq true true (ifeq (is_a_theorem (implies ?650232 ?650233)) true (is_a_theorem (implies ?650232 (implies (implies ?650233 falsehood) ?650234))) true) true =>= true [650234, 650233, 650232] by Super 3 with 406444 at 1,2
% 188.71/47.51 Id : 608324, {_}: ifeq (is_a_theorem (implies ?920772 ?920773)) true (is_a_theorem (implies ?920772 (implies (implies ?920773 falsehood) ?920774))) true =>= true [920774, 920773, 920772] by Demod 431180 with 2 at 2
% 188.71/47.51 Id : 1913, {_}: ifeq true true (is_a_theorem (implies ?2948 (implies (implies ?2949 falsehood) (implies ?2949 ?2950)))) true =>= true [2950, 2949, 2948] by Super 17 with 1785 at 1,2
% 188.71/47.51 Id : 1962, {_}: is_a_theorem (implies ?2948 (implies (implies ?2949 falsehood) (implies ?2949 ?2950))) =>= true [2950, 2949, 2948] by Demod 1913 with 2 at 2
% 188.71/47.51 Id : 2715, {_}: ifeq true true (is_a_theorem (implies (implies ?4068 (implies ?4069 falsehood)) (implies ?4068 (implies ?4069 ?4070)))) true =>= true [4070, 4069, 4068] by Super 31 with 1962 at 1,2
% 188.71/47.51 Id : 2820, {_}: is_a_theorem (implies (implies ?4068 (implies ?4069 falsehood)) (implies ?4068 (implies ?4069 ?4070))) =>= true [4070, 4069, 4068] by Demod 2715 with 2 at 2
% 188.71/47.51 Id : 6987, {_}: ifeq true true (ifeq (is_a_theorem (implies ?10066 (implies ?10067 falsehood))) true (is_a_theorem (implies ?10066 (implies ?10067 ?10068))) true) true =>= true [10068, 10067, 10066] by Super 3 with 2820 at 1,2
% 188.71/47.51 Id : 106804, {_}: ifeq (is_a_theorem (implies ?160948 (implies ?160949 falsehood))) true (is_a_theorem (implies ?160948 (implies ?160949 ?160950))) true =>= true [160950, 160949, 160948] by Demod 6987 with 2 at 2
% 188.71/47.51 Id : 107123, {_}: ifeq true true (is_a_theorem (implies (implies ?162154 (implies (implies ?162155 ?162154) falsehood)) (implies ?162154 ?162156))) true =>= true [162156, 162155, 162154] by Super 106804 with 26164 at 1,2
% 188.71/47.51 Id : 107591, {_}: is_a_theorem (implies (implies ?162154 (implies (implies ?162155 ?162154) falsehood)) (implies ?162154 ?162156)) =>= true [162156, 162155, 162154] by Demod 107123 with 2 at 2
% 188.71/47.51 Id : 108795, {_}: ifeq true true (is_a_theorem (implies ?164041 (implies (implies ?164042 (implies (implies ?164043 ?164042) falsehood)) (implies ?164042 ?164044)))) true =>= true [164044, 164043, 164042, 164041] by Super 17 with 107591 at 1,2
% 188.71/47.51 Id : 109094, {_}: is_a_theorem (implies ?164041 (implies (implies ?164042 (implies (implies ?164043 ?164042) falsehood)) (implies ?164042 ?164044))) =>= true [164044, 164043, 164042, 164041] by Demod 108795 with 2 at 2
% 188.71/47.51 Id : 398156, {_}: ifeq true true (is_a_theorem (implies (implies (implies ?601202 ?601203) falsehood) (implies ?601203 ?601204))) true =>= true [601204, 601203, 601202] by Super 397340 with 109094 at 1,2
% 188.71/47.51 Id : 399319, {_}: is_a_theorem (implies (implies (implies ?601202 ?601203) falsehood) (implies ?601203 ?601204)) =>= true [601204, 601203, 601202] by Demod 398156 with 2 at 2
% 188.71/47.51 Id : 609461, {_}: ifeq true true (is_a_theorem (implies (implies (implies ?925914 ?925915) falsehood) (implies (implies (implies ?925915 ?925916) falsehood) ?925917))) true =>= true [925917, 925916, 925915, 925914] by Super 608324 with 399319 at 1,2
% 188.71/47.51 Id : 610915, {_}: is_a_theorem (implies (implies (implies ?925914 ?925915) falsehood) (implies (implies (implies ?925915 ?925916) falsehood) ?925917)) =>= true [925917, 925916, 925915, 925914] by Demod 609461 with 2 at 2
% 188.71/47.51 Id : 618283, {_}: ifeq true true (is_a_theorem (implies ?937354 (implies (implies (implies ?937355 ?937356) falsehood) ?937355))) true =>= true [937356, 937355, 937354] by Super 24586 with 610915 at 1,2
% 188.71/47.51 Id : 619082, {_}: is_a_theorem (implies ?937354 (implies (implies (implies ?937355 ?937356) falsehood) ?937355)) =>= true [937356, 937355, 937354] by Demod 618283 with 2 at 2
% 188.71/47.51 Id : 620702, {_}: ifeq true true (is_a_theorem (implies (implies ?940648 (implies (implies ?940649 ?940650) falsehood)) (implies ?940648 ?940649))) true =>= true [940650, 940649, 940648] by Super 31 with 619082 at 1,2
% 188.71/47.51 Id : 621745, {_}: is_a_theorem (implies (implies ?940648 (implies (implies ?940649 ?940650) falsehood)) (implies ?940648 ?940649)) =>= true [940650, 940649, 940648] by Demod 620702 with 2 at 2
% 188.71/47.51 Id : 637144, {_}: ifeq true true (ifeq (is_a_theorem (implies ?963963 (implies (implies ?963964 ?963965) falsehood))) true (is_a_theorem (implies ?963963 ?963964)) true) true =>= true [963965, 963964, 963963] by Super 3 with 621745 at 1,2
% 188.71/47.51 Id : 845045, {_}: ifeq (is_a_theorem (implies ?1292000 (implies (implies ?1292001 ?1292002) falsehood))) true (is_a_theorem (implies ?1292000 ?1292001)) true =>= true [1292002, 1292001, 1292000] by Demod 637144 with 2 at 2
% 188.71/47.51 Id : 35241, {_}: ifeq true true (is_a_theorem (implies ?51621 (implies (implies ?51622 (implies (implies ?51623 ?51622) ?51624)) (implies ?51622 ?51624)))) true =>= true [51624, 51623, 51622, 51621] by Super 17 with 26164 at 1,2
% 188.71/47.51 Id : 35406, {_}: is_a_theorem (implies ?51621 (implies (implies ?51622 (implies (implies ?51623 ?51622) ?51624)) (implies ?51622 ?51624))) =>= true [51624, 51623, 51622, 51621] by Demod 35241 with 2 at 2
% 188.71/47.51 Id : 398055, {_}: ifeq true true (is_a_theorem (implies (implies (implies ?600809 ?600810) ?600811) (implies ?600810 ?600811))) true =>= true [600811, 600810, 600809] by Super 397340 with 35406 at 1,2
% 188.71/47.51 Id : 399118, {_}: is_a_theorem (implies (implies (implies ?600809 ?600810) ?600811) (implies ?600810 ?600811)) =>= true [600811, 600810, 600809] by Demod 398055 with 2 at 2
% 188.71/47.51 Id : 410794, {_}: ifeq true true (ifeq (is_a_theorem (implies (implies ?620148 ?620149) ?620150)) true (is_a_theorem (implies ?620149 ?620150)) true) true =>= true [620150, 620149, 620148] by Super 3 with 399118 at 1,2
% 188.71/47.51 Id : 411491, {_}: ifeq (is_a_theorem (implies (implies ?620148 ?620149) ?620150)) true (is_a_theorem (implies ?620149 ?620150)) true =>= true [620150, 620149, 620148] by Demod 410794 with 2 at 2
% 188.71/47.51 Id : 804, {_}: ifeq true true (is_a_theorem (implies ?1296 (implies (implies (implies ?1297 ?1298) ?1297) (implies (implies ?1297 ?1298) ?1298)))) true =>= true [1298, 1297, 1296] by Super 17 with 480 at 1,2
% 188.71/47.51 Id : 837, {_}: is_a_theorem (implies ?1296 (implies (implies (implies ?1297 ?1298) ?1297) (implies (implies ?1297 ?1298) ?1298))) =>= true [1298, 1297, 1296] by Demod 804 with 2 at 2
% 188.71/47.51 Id : 397883, {_}: ifeq true true (is_a_theorem (implies ?600186 (implies (implies ?600186 ?600187) ?600187))) true =>= true [600187, 600186] by Super 397340 with 837 at 1,2
% 188.71/47.51 Id : 398776, {_}: is_a_theorem (implies ?600186 (implies (implies ?600186 ?600187) ?600187)) =>= true [600187, 600186] by Demod 397883 with 2 at 2
% 188.71/47.51 Id : 609458, {_}: ifeq true true (is_a_theorem (implies ?925901 (implies (implies (implies (implies ?925901 ?925902) ?925902) falsehood) ?925903))) true =>= true [925903, 925902, 925901] by Super 608324 with 398776 at 1,2
% 188.71/47.51 Id : 610911, {_}: is_a_theorem (implies ?925901 (implies (implies (implies (implies ?925901 ?925902) ?925902) falsehood) ?925903)) =>= true [925903, 925902, 925901] by Demod 609458 with 2 at 2
% 188.71/47.51 Id : 611310, {_}: ifeq true true (is_a_theorem (implies (implies ?927195 (implies (implies (implies ?927195 ?927196) ?927196) falsehood)) (implies ?927195 ?927197))) true =>= true [927197, 927196, 927195] by Super 31 with 610911 at 1,2
% 188.71/47.51 Id : 612121, {_}: is_a_theorem (implies (implies ?927195 (implies (implies (implies ?927195 ?927196) ?927196) falsehood)) (implies ?927195 ?927197)) =>= true [927197, 927196, 927195] by Demod 611310 with 2 at 2
% 188.71/47.51 Id : 792248, {_}: ifeq true true (is_a_theorem (implies (implies (implies (implies ?1207921 ?1207922) ?1207922) falsehood) (implies ?1207921 ?1207923))) true =>= true [1207923, 1207922, 1207921] by Super 411491 with 612121 at 1,2
% 188.71/47.51 Id : 793201, {_}: is_a_theorem (implies (implies (implies (implies ?1207921 ?1207922) ?1207922) falsehood) (implies ?1207921 ?1207923)) =>= true [1207923, 1207922, 1207921] by Demod 792248 with 2 at 2
% 188.71/47.51 Id : 846253, {_}: ifeq true true (is_a_theorem (implies (implies (implies (implies (implies ?1297923 ?1297924) ?1297925) ?1297925) falsehood) ?1297923)) true =>= true [1297925, 1297924, 1297923] by Super 845045 with 793201 at 1,2
% 188.71/47.51 Id : 847793, {_}: is_a_theorem (implies (implies (implies (implies (implies ?1297923 ?1297924) ?1297925) ?1297925) falsehood) ?1297923) =>= true [1297925, 1297924, 1297923] by Demod 846253 with 2 at 2
% 188.71/47.51 Id : 854830, {_}: ifeq true true (is_a_theorem (implies (implies (implies ?1307773 ?1307774) ?1307773) ?1307773)) true =>= true [1307774, 1307773] by Super 157977 with 847793 at 1,2
% 188.71/47.51 Id : 855760, {_}: is_a_theorem (implies (implies (implies ?1307773 ?1307774) ?1307773) ?1307773) =>= true [1307774, 1307773] by Demod 854830 with 2 at 2
% 188.71/47.51 Id : 856992, {_}: true === true [] by Demod 1 with 855760 at 2
% 188.71/47.51 Id : 1, {_}: is_a_theorem (implies (implies (implies a b) a) a) =>= true [] by prove_c0_3
% 188.71/47.51 % SZS output end CNFRefutation for theBenchmark.p
% 188.71/47.51 21987: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 47.15374 using lpo
%------------------------------------------------------------------------------