TSTP Solution File: LCL109-2 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : LCL109-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n018.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 12:42:26 EDT 2022
% Result : Unsatisfiable 87.62s 22.24s
% Output : CNFRefutation 87.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL109-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 23:14:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 1707: Facts:
% 0.13/0.34 1707: Id : 2, {_}: implies truth ?2 =>= ?2 [2] by wajsberg_1 ?2
% 0.13/0.34 1707: Id : 3, {_}:
% 0.13/0.34 implies (implies ?4 ?5) (implies (implies ?5 ?6) (implies ?4 ?6))
% 0.13/0.34 =>=
% 0.13/0.34 truth
% 0.13/0.34 [6, 5, 4] by wajsberg_2 ?4 ?5 ?6
% 0.13/0.34 1707: Id : 4, {_}:
% 0.13/0.34 implies (implies ?8 ?9) ?9 =?= implies (implies ?9 ?8) ?8
% 0.13/0.34 [9, 8] by wajsberg_3 ?8 ?9
% 0.13/0.34 1707: Id : 5, {_}:
% 0.13/0.34 implies (implies (not ?11) (not ?12)) (implies ?12 ?11) =>= truth
% 0.13/0.34 [12, 11] by wajsberg_4 ?11 ?12
% 0.13/0.34 1707: Goal:
% 0.13/0.34 1707: Id : 1, {_}:
% 0.13/0.34 implies (implies (implies a b) (implies b a)) (implies b a) =>= truth
% 0.13/0.34 [] by prove_wajsberg_mv_4
% 87.62/22.24 Statistics :
% 87.62/22.24 Max weight : 33
% 87.62/22.24 Found proof, 21.900330s
% 87.62/22.24 % SZS status Unsatisfiable for theBenchmark.p
% 87.62/22.24 % SZS output start CNFRefutation for theBenchmark.p
% 87.62/22.24 Id : 45, {_}: implies (implies (not ?120) (not ?121)) (implies ?121 ?120) =>= truth [121, 120] by wajsberg_4 ?120 ?121
% 87.62/22.24 Id : 5, {_}: implies (implies (not ?11) (not ?12)) (implies ?12 ?11) =>= truth [12, 11] by wajsberg_4 ?11 ?12
% 87.62/22.24 Id : 2, {_}: implies truth ?2 =>= ?2 [2] by wajsberg_1 ?2
% 87.62/22.24 Id : 3, {_}: implies (implies ?4 ?5) (implies (implies ?5 ?6) (implies ?4 ?6)) =>= truth [6, 5, 4] by wajsberg_2 ?4 ?5 ?6
% 87.62/22.24 Id : 8, {_}: implies (implies ?18 ?19) (implies (implies ?19 ?20) (implies ?18 ?20)) =>= truth [20, 19, 18] by wajsberg_2 ?18 ?19 ?20
% 87.62/22.24 Id : 4, {_}: implies (implies ?8 ?9) ?9 =?= implies (implies ?9 ?8) ?8 [9, 8] by wajsberg_3 ?8 ?9
% 87.62/22.24 Id : 12, {_}: implies (implies ?33 (implies ?34 ?35)) (implies truth (implies ?33 (implies (implies ?35 ?36) (implies ?34 ?36)))) =>= truth [36, 35, 34, 33] by Super 8 with 3 at 1,2,2
% 87.62/22.24 Id : 18, {_}: implies (implies ?33 (implies ?34 ?35)) (implies ?33 (implies (implies ?35 ?36) (implies ?34 ?36))) =>= truth [36, 35, 34, 33] by Demod 12 with 2 at 2,2
% 87.62/22.24 Id : 9, {_}: implies (implies truth ?22) (implies (implies ?22 ?23) ?23) =>= truth [23, 22] by Super 8 with 2 at 2,2,2
% 87.62/22.24 Id : 17, {_}: implies ?22 (implies (implies ?22 ?23) ?23) =>= truth [23, 22] by Demod 9 with 2 at 1,2
% 87.62/22.24 Id : 587, {_}: implies (implies (implies (implies ?853 ?854) ?854) ?853) ?853 =>= implies truth (implies (implies ?853 ?854) ?854) [854, 853] by Super 4 with 17 at 1,3
% 87.62/22.24 Id : 623, {_}: implies (implies (implies (implies ?853 ?854) ?854) ?853) ?853 =>= implies (implies ?853 ?854) ?854 [854, 853] by Demod 587 with 2 at 3
% 87.62/22.24 Id : 710, {_}: implies (implies ?1005 (implies ?1006 ?1007)) (implies ?1005 (implies (implies ?1007 ?1008) (implies ?1006 ?1008))) =>= truth [1008, 1007, 1006, 1005] by Demod 12 with 2 at 2,2
% 87.62/22.24 Id : 11, {_}: implies (implies ?30 truth) (implies ?31 (implies ?30 ?31)) =>= truth [31, 30] by Super 8 with 2 at 1,2,2
% 87.62/22.24 Id : 10, {_}: implies (implies (implies ?25 ?26) ?27) (implies (implies ?27 (implies (implies ?26 ?28) (implies ?25 ?28))) truth) =>= truth [28, 27, 26, 25] by Super 8 with 3 at 2,2,2
% 87.62/22.24 Id : 194, {_}: implies (implies ?444 truth) (implies ?445 (implies ?444 ?445)) =>= truth [445, 444] by Super 8 with 2 at 1,2,2
% 87.62/22.24 Id : 195, {_}: implies (implies truth truth) (implies ?447 ?447) =>= truth [447] by Super 194 with 2 at 2,2,2
% 87.62/22.24 Id : 222, {_}: implies truth (implies ?447 ?447) =>= truth [447] by Demod 195 with 2 at 1,2
% 87.62/22.24 Id : 223, {_}: implies ?447 ?447 =>= truth [447] by Demod 222 with 2 at 2
% 87.62/22.24 Id : 242, {_}: implies (implies (implies ?506 ?506) ?507) (implies (implies ?507 truth) truth) =>= truth [507, 506] by Super 10 with 223 at 2,1,2,2
% 87.62/22.24 Id : 273, {_}: implies (implies truth ?507) (implies (implies ?507 truth) truth) =>= truth [507] by Demod 242 with 223 at 1,1,2
% 87.62/22.24 Id : 459, {_}: implies ?785 (implies (implies ?785 truth) truth) =>= truth [785] by Demod 273 with 2 at 1,2
% 87.62/22.24 Id : 472, {_}: implies ?808 (implies (implies truth ?808) ?808) =>= truth [808] by Super 459 with 4 at 2,2
% 87.62/22.24 Id : 516, {_}: implies ?808 (implies ?808 ?808) =>= truth [808] by Demod 472 with 2 at 1,2,2
% 87.62/22.24 Id : 517, {_}: implies ?808 truth =>= truth [808] by Demod 516 with 223 at 2,2
% 87.62/22.24 Id : 531, {_}: implies truth (implies ?31 (implies ?30 ?31)) =>= truth [30, 31] by Demod 11 with 517 at 1,2
% 87.62/22.24 Id : 533, {_}: implies ?31 (implies ?30 ?31) =>= truth [30, 31] by Demod 531 with 2 at 2
% 87.62/22.24 Id : 771, {_}: implies truth (implies ?1283 (implies (implies ?1283 ?1284) (implies ?1285 ?1284))) =>= truth [1285, 1284, 1283] by Super 710 with 533 at 1,2
% 87.62/22.24 Id : 1715, {_}: implies ?2399 (implies (implies ?2399 ?2400) (implies ?2401 ?2400)) =>= truth [2401, 2400, 2399] by Demod 771 with 2 at 2
% 87.62/22.24 Id : 1747, {_}: implies ?2519 (implies truth (implies ?2520 (implies ?2521 ?2519))) =>= truth [2521, 2520, 2519] by Super 1715 with 533 at 1,2,2
% 87.62/22.24 Id : 1895, {_}: implies ?2696 (implies ?2697 (implies ?2698 ?2696)) =>= truth [2698, 2697, 2696] by Demod 1747 with 2 at 2,2
% 87.62/22.24 Id : 2887, {_}: implies ?4182 (implies (implies (implies ?4183 ?4182) ?4184) ?4184) =>= truth [4184, 4183, 4182] by Super 1895 with 4 at 2,2
% 87.62/22.24 Id : 46, {_}: implies (implies (not ?123) (not truth)) ?123 =>= truth [123] by Super 45 with 2 at 2,2
% 87.62/22.24 Id : 2921, {_}: implies (not truth) (implies truth ?4312) =>= truth [4312] by Super 2887 with 46 at 1,2,2
% 87.62/22.24 Id : 3069, {_}: implies (not truth) ?4312 =>= truth [4312] by Demod 2921 with 2 at 2,2
% 87.62/22.24 Id : 3127, {_}: implies (implies (implies truth ?4461) (not truth)) (not truth) =?= implies (implies (not truth) ?4461) ?4461 [4461] by Super 623 with 3069 at 1,1,1,2
% 87.62/22.24 Id : 3164, {_}: implies (implies ?4461 (not truth)) (not truth) =?= implies (implies (not truth) ?4461) ?4461 [4461] by Demod 3127 with 2 at 1,1,2
% 87.62/22.24 Id : 3165, {_}: implies (implies ?4461 (not truth)) (not truth) =>= implies truth ?4461 [4461] by Demod 3164 with 3069 at 1,3
% 87.62/22.24 Id : 3166, {_}: implies (implies ?4461 (not truth)) (not truth) =>= ?4461 [4461] by Demod 3165 with 2 at 3
% 87.62/22.24 Id : 3396, {_}: implies (implies (not (not truth)) (not (implies ?4621 (not truth)))) ?4621 =>= truth [4621] by Super 5 with 3166 at 2,2
% 87.62/22.24 Id : 137, {_}: implies (implies ?376 (not (not ?376))) truth =>= truth [376] by Super 3 with 5 at 2,2
% 87.62/22.24 Id : 140, {_}: implies (not (not truth)) truth =>= truth [] by Super 137 with 2 at 1,2
% 87.62/22.24 Id : 162, {_}: implies truth (implies (implies truth ?398) (implies (not (not truth)) ?398)) =>= truth [398] by Super 3 with 140 at 1,2
% 87.62/22.24 Id : 175, {_}: implies (implies truth ?398) (implies (not (not truth)) ?398) =>= truth [398] by Demod 162 with 2 at 2
% 87.62/22.24 Id : 176, {_}: implies ?398 (implies (not (not truth)) ?398) =>= truth [398] by Demod 175 with 2 at 1,2
% 87.62/22.24 Id : 332, {_}: implies (implies (implies (not (not truth)) ?623) ?623) ?623 =>= implies truth (implies (not (not truth)) ?623) [623] by Super 4 with 176 at 1,3
% 87.62/22.24 Id : 664, {_}: implies (implies (implies (not (not truth)) ?945) ?945) ?945 =>= implies (not (not truth)) ?945 [945] by Demod 332 with 2 at 3
% 87.62/22.24 Id : 672, {_}: implies truth (not truth) =<= implies (not (not truth)) (not truth) [] by Super 664 with 46 at 1,2
% 87.62/22.24 Id : 698, {_}: not truth =<= implies (not (not truth)) (not truth) [] by Demod 672 with 2 at 2
% 87.62/22.24 Id : 878, {_}: implies (implies (not (not truth)) (not (not (not truth)))) (not truth) =>= truth [] by Super 5 with 698 at 2,2
% 87.62/22.24 Id : 2929, {_}: implies (not (not (not truth))) (implies truth (not truth)) =>= truth [] by Super 2887 with 878 at 1,2,2
% 87.62/22.24 Id : 3079, {_}: implies (not (not (not truth))) (not truth) =>= truth [] by Demod 2929 with 2 at 2,2
% 87.62/22.24 Id : 3232, {_}: implies truth (not (not truth)) =>= truth [] by Super 46 with 3079 at 1,2
% 87.62/22.24 Id : 3275, {_}: not (not truth) =>= truth [] by Demod 3232 with 2 at 2
% 87.62/22.24 Id : 3458, {_}: implies (implies truth (not (implies ?4621 (not truth)))) ?4621 =>= truth [4621] by Demod 3396 with 3275 at 1,1,2
% 87.62/22.24 Id : 3459, {_}: implies (not (implies ?4621 (not truth))) ?4621 =>= truth [4621] by Demod 3458 with 2 at 1,2
% 87.62/22.24 Id : 4066, {_}: implies truth (implies ?5535 (implies (not ?5535) (not truth))) =>= truth [5535] by Super 5 with 3459 at 1,2
% 87.62/22.24 Id : 4135, {_}: implies ?5535 (implies (not ?5535) (not truth)) =>= truth [5535] by Demod 4066 with 2 at 2
% 87.62/22.24 Id : 4216, {_}: implies truth (implies ?5682 (implies (implies (not truth) ?5683) (implies (not ?5682) ?5683))) =>= truth [5683, 5682] by Super 18 with 4135 at 1,2
% 87.62/22.24 Id : 4268, {_}: implies ?5682 (implies (implies (not truth) ?5683) (implies (not ?5682) ?5683)) =>= truth [5683, 5682] by Demod 4216 with 2 at 2
% 87.62/22.24 Id : 4269, {_}: implies ?5682 (implies truth (implies (not ?5682) ?5683)) =>= truth [5683, 5682] by Demod 4268 with 3069 at 1,2,2
% 87.62/22.24 Id : 4270, {_}: implies ?5682 (implies (not ?5682) ?5683) =>= truth [5683, 5682] by Demod 4269 with 2 at 2,2
% 87.62/22.24 Id : 4668, {_}: implies (implies (implies (not ?6069) ?6070) ?6069) ?6069 =>= implies truth (implies (not ?6069) ?6070) [6070, 6069] by Super 4 with 4270 at 1,3
% 87.62/22.24 Id : 4735, {_}: implies (implies (implies (not ?6069) ?6070) ?6069) ?6069 =>= implies (not ?6069) ?6070 [6070, 6069] by Demod 4668 with 2 at 3
% 87.62/22.24 Id : 23, {_}: implies (implies ?58 (implies ?59 ?60)) (implies (implies (implies ?60 ?59) ?59) (implies ?58 ?60)) =>= truth [60, 59, 58] by Super 3 with 4 at 1,2,2
% 87.62/22.24 Id : 4210, {_}: implies (implies (implies (not ?5663) (not truth)) ?5663) ?5663 =>= implies truth (implies (not ?5663) (not truth)) [5663] by Super 4 with 4135 at 1,3
% 87.62/22.24 Id : 4273, {_}: implies truth ?5663 =<= implies truth (implies (not ?5663) (not truth)) [5663] by Demod 4210 with 46 at 1,2
% 87.62/22.24 Id : 4274, {_}: implies truth ?5663 =<= implies (not ?5663) (not truth) [5663] by Demod 4273 with 2 at 3
% 87.62/22.24 Id : 4275, {_}: ?5663 =<= implies (not ?5663) (not truth) [5663] by Demod 4274 with 2 at 2
% 87.62/22.24 Id : 4371, {_}: implies ?5817 (not truth) =>= not ?5817 [5817] by Super 3166 with 4275 at 1,2
% 87.62/22.24 Id : 4478, {_}: implies (implies ?5957 (implies ?5958 (not truth))) (implies (implies (implies (not truth) ?5958) ?5958) (not ?5957)) =>= truth [5958, 5957] by Super 23 with 4371 at 2,2,2
% 87.62/22.24 Id : 4494, {_}: implies (implies ?5957 (not ?5958)) (implies (implies (implies (not truth) ?5958) ?5958) (not ?5957)) =>= truth [5958, 5957] by Demod 4478 with 4371 at 2,1,2
% 87.62/22.24 Id : 4495, {_}: implies (implies ?5957 (not ?5958)) (implies (implies truth ?5958) (not ?5957)) =>= truth [5958, 5957] by Demod 4494 with 3069 at 1,1,2,2
% 87.62/22.24 Id : 4496, {_}: implies (implies ?5957 (not ?5958)) (implies ?5958 (not ?5957)) =>= truth [5958, 5957] by Demod 4495 with 2 at 1,2,2
% 87.62/22.24 Id : 6804, {_}: implies (implies (implies ?9142 (not ?9143)) (implies ?9143 (not ?9142))) (implies ?9143 (not ?9142)) =>= implies truth (implies ?9142 (not ?9143)) [9143, 9142] by Super 4 with 4496 at 1,3
% 87.62/22.24 Id : 6890, {_}: implies truth (implies ?9143 (not ?9142)) =?= implies truth (implies ?9142 (not ?9143)) [9142, 9143] by Demod 6804 with 4496 at 1,2
% 87.62/22.24 Id : 6891, {_}: implies truth (implies ?9143 (not ?9142)) =>= implies ?9142 (not ?9143) [9142, 9143] by Demod 6890 with 2 at 3
% 87.62/22.24 Id : 6892, {_}: implies ?9143 (not ?9142) =?= implies ?9142 (not ?9143) [9142, 9143] by Demod 6891 with 2 at 2
% 87.62/22.24 Id : 7099, {_}: implies (implies (implies ?9742 (not (not ?9743))) ?9743) ?9743 =>= implies (not ?9743) (not ?9742) [9743, 9742] by Super 4735 with 6892 at 1,1,2
% 87.62/22.24 Id : 4431, {_}: not (implies ?4461 (not truth)) =>= ?4461 [4461] by Demod 3166 with 4371 at 2
% 87.62/22.24 Id : 4432, {_}: not (not ?4461) =>= ?4461 [4461] by Demod 4431 with 4371 at 1,2
% 87.62/22.24 Id : 7137, {_}: implies (implies (implies ?9742 ?9743) ?9743) ?9743 =>= implies (not ?9743) (not ?9742) [9743, 9742] by Demod 7099 with 4432 at 2,1,1,2
% 87.62/22.24 Id : 7109, {_}: implies ?9776 (not ?9777) =?= implies ?9777 (not ?9776) [9777, 9776] by Demod 6891 with 2 at 2
% 87.62/22.24 Id : 7111, {_}: implies (not ?9781) (not ?9782) =>= implies ?9782 ?9781 [9782, 9781] by Super 7109 with 4432 at 2,3
% 87.62/22.24 Id : 7667, {_}: implies (implies (implies ?10526 ?10527) ?10527) ?10527 =>= implies ?10526 ?10527 [10527, 10526] by Demod 7137 with 7111 at 3
% 87.62/22.24 Id : 7971, {_}: implies (implies (implies ?10920 ?10921) ?10921) ?10920 =>= implies ?10921 ?10920 [10921, 10920] by Super 7667 with 4 at 1,2
% 87.62/22.24 Id : 8002, {_}: implies (implies (implies ?11024 ?11025) (not ?11024)) (not ?11025) =>= implies (not ?11024) (not ?11025) [11025, 11024] by Super 7971 with 7111 at 1,1,2
% 87.62/22.24 Id : 8148, {_}: implies ?11025 (not (implies (implies ?11024 ?11025) (not ?11024))) =>= implies (not ?11024) (not ?11025) [11024, 11025] by Demod 8002 with 6892 at 2
% 87.62/22.24 Id : 8149, {_}: implies ?11025 (not (implies (implies ?11024 ?11025) (not ?11024))) =>= implies ?11025 ?11024 [11024, 11025] by Demod 8148 with 7111 at 3
% 87.62/22.25 Id : 8150, {_}: implies ?11025 (not (implies ?11024 (not (implies ?11024 ?11025)))) =>= implies ?11025 ?11024 [11024, 11025] by Demod 8149 with 6892 at 1,2,2
% 87.62/22.25 Id : 14525, {_}: implies (implies (not (implies ?19789 (not (implies ?19789 ?19790)))) ?19790) ?19790 =?= implies (implies ?19790 ?19789) (not (implies ?19789 (not (implies ?19789 ?19790)))) [19790, 19789] by Super 4 with 8150 at 1,3
% 87.62/22.25 Id : 7303, {_}: implies (not ?10016) (not ?10017) =>= implies ?10017 ?10016 [10017, 10016] by Super 7109 with 4432 at 2,3
% 87.62/22.25 Id : 7305, {_}: implies (not ?10021) ?10022 =?= implies (not ?10022) ?10021 [10022, 10021] by Super 7303 with 4432 at 2,2
% 87.62/22.25 Id : 14654, {_}: implies (implies (not ?19790) (implies ?19789 (not (implies ?19789 ?19790)))) ?19790 =?= implies (implies ?19790 ?19789) (not (implies ?19789 (not (implies ?19789 ?19790)))) [19789, 19790] by Demod 14525 with 7305 at 1,2
% 87.62/22.25 Id : 7269, {_}: implies (not ?9897) (implies (implies ?9898 ?9897) (not ?9898)) =>= truth [9898, 9897] by Super 17 with 7111 at 1,2,2
% 87.62/22.25 Id : 7362, {_}: implies (not ?9897) (implies ?9898 (not (implies ?9898 ?9897))) =>= truth [9898, 9897] by Demod 7269 with 6892 at 2,2
% 87.62/22.25 Id : 14655, {_}: implies truth ?19790 =<= implies (implies ?19790 ?19789) (not (implies ?19789 (not (implies ?19789 ?19790)))) [19789, 19790] by Demod 14654 with 7362 at 1,2
% 87.62/22.25 Id : 14656, {_}: ?19790 =<= implies (implies ?19790 ?19789) (not (implies ?19789 (not (implies ?19789 ?19790)))) [19789, 19790] by Demod 14655 with 2 at 2
% 87.62/22.25 Id : 15, {_}: implies truth (implies (implies (implies (implies ?44 ?45) (implies ?46 ?45)) ?47) (implies (implies ?46 ?44) ?47)) =>= truth [47, 46, 45, 44] by Super 8 with 3 at 1,2
% 87.62/22.25 Id : 20, {_}: implies (implies (implies (implies ?44 ?45) (implies ?46 ?45)) ?47) (implies (implies ?46 ?44) ?47) =>= truth [47, 46, 45, 44] by Demod 15 with 2 at 2
% 87.62/22.25 Id : 592, {_}: implies truth (implies (implies (implies (implies ?869 ?870) ?870) ?871) (implies ?869 ?871)) =>= truth [871, 870, 869] by Super 3 with 17 at 1,2
% 87.62/22.25 Id : 620, {_}: implies (implies (implies (implies ?869 ?870) ?870) ?871) (implies ?869 ?871) =>= truth [871, 870, 869] by Demod 592 with 2 at 2
% 87.62/22.25 Id : 38926, {_}: implies truth (implies (implies ?59417 (implies ?59418 ?59419)) (implies ?59418 (implies ?59417 ?59419))) =>= truth [59419, 59418, 59417] by Super 20 with 620 at 1,2
% 87.62/22.25 Id : 39312, {_}: implies (implies ?59417 (implies ?59418 ?59419)) (implies ?59418 (implies ?59417 ?59419)) =>= truth [59419, 59418, 59417] by Demod 38926 with 2 at 2
% 87.62/22.25 Id : 311096, {_}: implies ?497008 (implies ?497009 ?497010) =<= implies (implies (implies ?497008 (implies ?497009 ?497010)) (implies ?497009 (implies ?497008 ?497010))) (not (implies (implies ?497009 (implies ?497008 ?497010)) (not truth))) [497010, 497009, 497008] by Super 14656 with 39312 at 1,2,1,2,3
% 87.62/22.25 Id : 312306, {_}: implies ?497008 (implies ?497009 ?497010) =<= implies (implies (implies ?497009 (implies ?497008 ?497010)) (not truth)) (not (implies (implies ?497008 (implies ?497009 ?497010)) (implies ?497009 (implies ?497008 ?497010)))) [497010, 497009, 497008] by Demod 311096 with 6892 at 3
% 87.62/22.25 Id : 312307, {_}: implies ?497008 (implies ?497009 ?497010) =<= implies (not (implies ?497009 (implies ?497008 ?497010))) (not (implies (implies ?497008 (implies ?497009 ?497010)) (implies ?497009 (implies ?497008 ?497010)))) [497010, 497009, 497008] by Demod 312306 with 4371 at 1,3
% 87.62/22.25 Id : 312308, {_}: implies ?497008 (implies ?497009 ?497010) =<= implies (not (implies ?497009 (implies ?497008 ?497010))) (not truth) [497010, 497009, 497008] by Demod 312307 with 39312 at 1,2,3
% 87.62/22.25 Id : 312309, {_}: implies ?497008 (implies ?497009 ?497010) =<= not (not (implies ?497009 (implies ?497008 ?497010))) [497010, 497009, 497008] by Demod 312308 with 4371 at 3
% 87.62/22.25 Id : 312310, {_}: implies ?497008 (implies ?497009 ?497010) =?= implies ?497009 (implies ?497008 ?497010) [497010, 497009, 497008] by Demod 312309 with 4432 at 3
% 87.62/22.25 Id : 318342, {_}: implies (not (implies ?512101 ?512102)) ?512103 =>= implies ?512101 (implies (not ?512103) ?512102) [512103, 512102, 512101] by Super 7305 with 312310 at 3
% 87.62/22.26 Id : 7703, {_}: implies (implies (implies ?10645 ?10646) ?10646) ?10645 =>= implies ?10646 ?10645 [10646, 10645] by Super 7667 with 4 at 1,2
% 87.62/22.26 Id : 7966, {_}: implies ?10907 (not (implies (implies (not ?10907) ?10908) ?10908)) =>= implies ?10908 (not ?10907) [10908, 10907] by Super 6892 with 7703 at 3
% 87.62/22.26 Id : 318398, {_}: implies (not (implies ?512363 (not ?512364))) ?512365 =<= implies ?512364 (implies (not ?512365) (not (implies (implies (not ?512364) ?512363) ?512363))) [512365, 512364, 512363] by Super 318342 with 7966 at 1,1,2
% 87.62/22.26 Id : 314914, {_}: implies (not (implies ?504246 ?504247)) ?504248 =>= implies ?504246 (implies (not ?504248) ?504247) [504248, 504247, 504246] by Super 7305 with 312310 at 3
% 87.62/22.26 Id : 319421, {_}: implies ?512363 (implies (not ?512365) (not ?512364)) =<= implies ?512364 (implies (not ?512365) (not (implies (implies (not ?512364) ?512363) ?512363))) [512364, 512365, 512363] by Demod 318398 with 314914 at 2
% 87.62/22.26 Id : 319422, {_}: implies ?512363 (implies (not ?512365) (not ?512364)) =<= implies ?512364 (implies (implies (implies (not ?512364) ?512363) ?512363) ?512365) [512364, 512365, 512363] by Demod 319421 with 7111 at 2,3
% 87.62/22.26 Id : 341774, {_}: implies ?543524 (implies ?543525 ?543526) =<= implies ?543525 (implies (implies (implies (not ?543525) ?543524) ?543524) ?543526) [543526, 543525, 543524] by Demod 319422 with 7111 at 2,2
% 87.62/22.26 Id : 8287, {_}: implies (implies (implies (not ?11486) ?11487) ?11486) (not ?11487) =>= implies ?11486 (not ?11487) [11487, 11486] by Super 7703 with 7305 at 1,1,2
% 87.62/22.26 Id : 8327, {_}: implies ?11487 (not (implies (implies (not ?11486) ?11487) ?11486)) =>= implies ?11486 (not ?11487) [11486, 11487] by Demod 8287 with 6892 at 2
% 87.62/22.26 Id : 15361, {_}: implies (implies (not (implies (implies (not ?20694) ?20695) ?20694)) ?20695) ?20695 =?= implies (implies ?20694 (not ?20695)) (not (implies (implies (not ?20694) ?20695) ?20694)) [20695, 20694] by Super 4 with 8327 at 1,3
% 87.62/22.26 Id : 15499, {_}: implies (implies (not ?20695) (implies (implies (not ?20694) ?20695) ?20694)) ?20695 =?= implies (implies ?20694 (not ?20695)) (not (implies (implies (not ?20694) ?20695) ?20694)) [20694, 20695] by Demod 15361 with 7305 at 1,2
% 87.62/22.26 Id : 8243, {_}: implies (not ?11310) (implies (implies (not ?11311) ?11310) ?11311) =>= truth [11311, 11310] by Super 17 with 7305 at 1,2,2
% 87.62/22.26 Id : 15500, {_}: implies truth ?20695 =<= implies (implies ?20694 (not ?20695)) (not (implies (implies (not ?20694) ?20695) ?20694)) [20694, 20695] by Demod 15499 with 8243 at 1,2
% 87.62/22.26 Id : 15501, {_}: ?20695 =<= implies (implies ?20694 (not ?20695)) (not (implies (implies (not ?20694) ?20695) ?20694)) [20694, 20695] by Demod 15500 with 2 at 2
% 87.62/22.26 Id : 341984, {_}: implies (not ?544514) (implies ?544515 (not (implies (implies (not (implies (not ?544515) (not ?544514))) ?544514) (implies (not ?544515) (not ?544514))))) =>= implies ?544515 ?544514 [544515, 544514] by Super 341774 with 15501 at 2,3
% 87.62/22.26 Id : 315522, {_}: implies ?507182 (implies ?507183 ?507184) =?= implies ?507183 (implies ?507182 ?507184) [507184, 507183, 507182] by Demod 312309 with 4432 at 3
% 87.62/22.26 Id : 315580, {_}: implies (not ?507463) (implies ?507464 (not ?507465)) =>= implies ?507464 (implies ?507465 ?507463) [507465, 507464, 507463] by Super 315522 with 7111 at 2,3
% 87.62/22.26 Id : 343025, {_}: implies ?544515 (implies (implies (implies (not (implies (not ?544515) (not ?544514))) ?544514) (implies (not ?544515) (not ?544514))) ?544514) =>= implies ?544515 ?544514 [544514, 544515] by Demod 341984 with 315580 at 2
% 87.62/22.26 Id : 343026, {_}: implies ?544515 (implies (implies (not ?544515) (implies (implies (not (implies (not ?544515) (not ?544514))) ?544514) (not ?544514))) ?544514) =>= implies ?544515 ?544514 [544514, 544515] by Demod 343025 with 312310 at 1,2,2
% 87.62/22.26 Id : 1847, {_}: implies ?2519 (implies ?2520 (implies ?2521 ?2519)) =>= truth [2521, 2520, 2519] by Demod 1747 with 2 at 2,2
% 87.62/22.26 Id : 1882, {_}: implies (implies (implies ?2647 (implies ?2648 ?2649)) ?2649) ?2649 =>= implies truth (implies ?2647 (implies ?2648 ?2649)) [2649, 2648, 2647] by Super 4 with 1847 at 1,3
% 87.62/22.26 Id : 16492, {_}: implies (implies (implies ?22410 (implies ?22411 ?22412)) ?22412) ?22412 =>= implies ?22410 (implies ?22411 ?22412) [22412, 22411, 22410] by Demod 1882 with 2 at 3
% 87.62/22.26 Id : 16527, {_}: implies (implies (implies ?22569 (implies ?22570 (not ?22571))) (not ?22570)) (not ?22570) =>= implies ?22569 (implies ?22571 (not ?22570)) [22571, 22570, 22569] by Super 16492 with 6892 at 2,1,1,2
% 87.62/22.26 Id : 16850, {_}: implies ?22570 (not (implies (implies ?22569 (implies ?22570 (not ?22571))) (not ?22570))) =>= implies ?22569 (implies ?22571 (not ?22570)) [22571, 22569, 22570] by Demod 16527 with 6892 at 2
% 87.62/22.26 Id : 16851, {_}: implies ?22570 (not (implies ?22570 (not (implies ?22569 (implies ?22570 (not ?22571)))))) =>= implies ?22569 (implies ?22571 (not ?22570)) [22571, 22569, 22570] by Demod 16850 with 6892 at 1,2,2
% 87.62/22.26 Id : 875, {_}: implies ?1283 (implies (implies ?1283 ?1284) (implies ?1285 ?1284)) =>= truth [1285, 1284, 1283] by Demod 771 with 2 at 2
% 87.62/22.26 Id : 2916, {_}: implies (not ?4292) (implies truth (implies ?4292 ?4293)) =>= truth [4293, 4292] by Super 2887 with 5 at 1,2,2
% 87.62/22.26 Id : 3063, {_}: implies (not ?4292) (implies ?4292 ?4293) =>= truth [4293, 4292] by Demod 2916 with 2 at 2,2
% 87.62/22.26 Id : 3549, {_}: implies (not ?4803) (implies truth (implies ?4804 (implies ?4803 ?4805))) =>= truth [4805, 4804, 4803] by Super 875 with 3063 at 1,2,2
% 87.62/22.26 Id : 3595, {_}: implies (not ?4803) (implies ?4804 (implies ?4803 ?4805)) =>= truth [4805, 4804, 4803] by Demod 3549 with 2 at 2,2
% 87.62/22.26 Id : 4988, {_}: implies (implies (implies ?6445 (implies ?6446 ?6447)) (not ?6446)) (not ?6446) =>= implies truth (implies ?6445 (implies ?6446 ?6447)) [6447, 6446, 6445] by Super 4 with 3595 at 1,3
% 87.62/22.26 Id : 5095, {_}: implies (implies (implies ?6445 (implies ?6446 ?6447)) (not ?6446)) (not ?6446) =>= implies ?6445 (implies ?6446 ?6447) [6447, 6446, 6445] by Demod 4988 with 2 at 3
% 87.62/22.26 Id : 55272, {_}: implies ?6446 (not (implies (implies ?6445 (implies ?6446 ?6447)) (not ?6446))) =>= implies ?6445 (implies ?6446 ?6447) [6447, 6445, 6446] by Demod 5095 with 6892 at 2
% 87.62/22.26 Id : 55273, {_}: implies ?6446 (not (implies ?6446 (not (implies ?6445 (implies ?6446 ?6447))))) =>= implies ?6445 (implies ?6446 ?6447) [6447, 6445, 6446] by Demod 55272 with 6892 at 1,2,2
% 87.62/22.26 Id : 227766, {_}: implies ?22569 (implies ?22570 (not ?22571)) =?= implies ?22569 (implies ?22571 (not ?22570)) [22571, 22570, 22569] by Demod 16851 with 55273 at 2
% 87.62/22.26 Id : 343027, {_}: implies ?544515 (implies (implies (not ?544515) (implies ?544514 (not (implies (not (implies (not ?544515) (not ?544514))) ?544514)))) ?544514) =>= implies ?544515 ?544514 [544514, 544515] by Demod 343026 with 227766 at 1,2,2
% 87.62/22.26 Id : 343028, {_}: implies ?544515 (implies (implies ?544514 (implies (implies (not (implies (not ?544515) (not ?544514))) ?544514) ?544515)) ?544514) =>= implies ?544515 ?544514 [544514, 544515] by Demod 343027 with 315580 at 1,2,2
% 87.62/22.26 Id : 343029, {_}: implies ?544515 (implies (implies ?544514 (implies (implies (not ?544514) (implies (not ?544515) (not ?544514))) ?544515)) ?544514) =>= implies ?544515 ?544514 [544514, 544515] by Demod 343028 with 7305 at 1,2,1,2,2
% 87.62/22.26 Id : 343030, {_}: implies ?544515 (implies (implies ?544514 (implies truth ?544515)) ?544514) =>= implies ?544515 ?544514 [544514, 544515] by Demod 343029 with 533 at 1,2,1,2,2
% 87.62/22.26 Id : 343031, {_}: implies ?544515 (implies (implies ?544514 ?544515) ?544514) =>= implies ?544515 ?544514 [544514, 544515] by Demod 343030 with 2 at 2,1,2,2
% 87.62/22.26 Id : 344443, {_}: truth =?= truth [] by Demod 344442 with 17 at 2
% 87.62/22.26 Id : 344442, {_}: implies b (implies (implies b a) a) =>= truth [] by Demod 344441 with 343031 at 1,2,2
% 87.62/22.26 Id : 344441, {_}: implies b (implies (implies b (implies (implies a b) a)) a) =>= truth [] by Demod 344440 with 312310 at 1,2,2
% 87.62/22.26 Id : 344440, {_}: implies b (implies (implies (implies a b) (implies b a)) a) =>= truth [] by Demod 1 with 312310 at 2
% 87.62/22.26 Id : 1, {_}: implies (implies (implies a b) (implies b a)) (implies b a) =>= truth [] by prove_wajsberg_mv_4
% 87.62/22.26 % SZS output end CNFRefutation for theBenchmark.p
% 87.62/22.26 1709: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 21.897093 using kbo
%------------------------------------------------------------------------------