0.06/0.16 % Problem : Vampire---4.8_17231 : TPTP v0.0.0. Released v0.0.0. 0.06/0.18 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.17/0.38 % Computer : n005.cluster.edu 0.17/0.38 % Model : x86_64 x86_64 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.38 % Memory : 8042.1875MB 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.39 % CPULimit : 1440 0.17/0.39 % WCLimit : 180 0.17/0.39 % DateTime : Mon Jul 3 13:01:15 EDT 2023 0.17/0.39 % CPUTime : 0.17/0.39 This is a THF_ problem 0.17/0.39 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.YJig2TtQ25/Vampire---4.8_17231 -m 12000 -t 180 0.25/0.43 % (17343)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.25/0.43 % (17340)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.25/0.43 % (17344)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi) 0.25/0.43 % (17341)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi) 0.25/0.43 % (17339)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.25/0.43 % (17342)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi) 0.25/0.44 % (17345)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi) 0.25/0.44 % (17343)Instruction limit reached! 0.25/0.44 % (17343)------------------------------ 0.25/0.44 % (17343)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.44 % (17343)Termination reason: Unknown 0.25/0.44 % (17343)Termination phase: shuffling 0.25/0.44 0.25/0.44 % (17343)Memory used [KB]: 1791 0.25/0.44 % (17343)Time elapsed: 0.013 s 0.25/0.44 % (17343)Instructions burned: 17 (million) 0.25/0.44 % (17343)------------------------------ 0.25/0.44 % (17343)------------------------------ 0.25/0.44 % (17346)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi) 0.25/0.45 % (17345)Instruction limit reached! 0.25/0.45 % (17345)------------------------------ 0.25/0.45 % (17345)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.45 % (17345)Termination reason: Unknown 0.25/0.45 % (17345)Termination phase: shuffling 0.25/0.45 0.25/0.45 % (17345)Memory used [KB]: 1535 0.25/0.45 % (17345)Time elapsed: 0.007 s 0.25/0.45 % (17345)Instructions burned: 5 (million) 0.25/0.45 % (17345)------------------------------ 0.25/0.45 % (17345)------------------------------ 0.25/0.45 % (17340)Instruction limit reached! 0.25/0.45 % (17340)------------------------------ 0.25/0.45 % (17340)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.45 % (17340)Termination reason: Unknown 0.25/0.45 % (17340)Termination phase: Property scanning 0.25/0.45 % (17341)Instruction limit reached! 0.25/0.45 % (17341)------------------------------ 0.25/0.45 % (17341)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.45 % (17341)Termination reason: Unknown 0.25/0.45 % (17341)Termination phase: Property scanning 0.25/0.45 0.25/0.45 % (17341)Memory used [KB]: 2046 0.25/0.45 % (17341)Time elapsed: 0.023 s 0.25/0.45 % (17341)Instructions burned: 35 (million) 0.25/0.45 % (17341)------------------------------ 0.25/0.45 % (17341)------------------------------ 0.25/0.45 0.25/0.45 % (17340)Memory used [KB]: 2046 0.25/0.45 % (17340)Time elapsed: 0.023 s 0.25/0.45 % (17340)Instructions burned: 36 (million) 0.25/0.45 % (17340)------------------------------ 0.25/0.45 % (17340)------------------------------ 0.25/0.46 % (17347)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (1799ds/21Mi) 0.25/0.46 % (17349)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi) 0.25/0.47 % (17350)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi) 0.25/0.47 % (17344)Instruction limit reached! 0.25/0.47 % (17344)------------------------------ 0.25/0.47 % (17344)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.47 % (17344)Termination reason: Unknown 0.25/0.47 % (17344)Termination phase: Property scanning 0.25/0.47 0.25/0.47 % (17344)Memory used [KB]: 2430 0.25/0.47 % (17344)Time elapsed: 0.038 s 0.25/0.47 % (17344)Instructions burned: 75 (million) 0.25/0.47 % (17344)------------------------------ 0.25/0.47 % (17344)------------------------------ 0.25/0.47 % (17347)Instruction limit reached! 0.25/0.47 % (17347)------------------------------ 0.25/0.47 % (17347)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.47 % (17347)Termination reason: Unknown 0.25/0.47 % (17347)Termination phase: shuffling 0.25/0.47 0.25/0.47 % (17347)Memory used [KB]: 1918 0.25/0.47 % (17347)Time elapsed: 0.015 s 0.25/0.47 % (17347)Instructions burned: 21 (million) 0.25/0.47 % (17347)------------------------------ 0.25/0.47 % (17347)------------------------------ 0.25/0.48 % (17348)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.25/0.48 % (17351)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi) 0.25/0.48 % (17348)Instruction limit reached! 0.25/0.48 % (17348)------------------------------ 0.25/0.48 % (17348)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.48 % (17348)Termination reason: Unknown 0.25/0.48 % (17348)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (17348)Memory used [KB]: 1535 0.25/0.48 % (17348)Time elapsed: 0.007 s 0.25/0.48 % (17348)Instructions burned: 8 (million) 0.25/0.48 % (17348)------------------------------ 0.25/0.48 % (17348)------------------------------ 0.25/0.48 % (17352)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi) 0.25/0.49 % (17351)Instruction limit reached! 0.25/0.49 % (17351)------------------------------ 0.25/0.49 % (17351)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.49 % (17351)Termination reason: Unknown 0.25/0.49 % (17351)Termination phase: shuffling 0.25/0.49 0.25/0.49 % (17351)Memory used [KB]: 1535 0.25/0.49 % (17351)Time elapsed: 0.008 s 0.25/0.49 % (17351)Instructions burned: 10 (million) 0.25/0.49 % (17351)------------------------------ 0.25/0.49 % (17351)------------------------------ 0.25/0.49 % (17339)Instruction limit reached! 0.25/0.49 % (17339)------------------------------ 0.25/0.49 % (17339)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.49 % (17339)Termination reason: Unknown 0.25/0.49 % (17339)Termination phase: Function definition elimination 0.25/0.49 0.25/0.49 % (17339)Memory used [KB]: 2814 0.25/0.49 % (17339)Time elapsed: 0.055 s 0.25/0.49 % (17339)Instructions burned: 96 (million) 0.25/0.49 % (17339)------------------------------ 0.25/0.49 % (17339)------------------------------ 0.25/0.50 % (17353)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi) 0.25/0.50 % (17354)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.25/0.50 % (17350)Instruction limit reached! 0.25/0.50 % (17350)------------------------------ 0.25/0.50 % (17350)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.50 % (17350)Termination reason: Unknown 0.25/0.50 % (17350)Termination phase: Property scanning 0.25/0.50 0.25/0.50 % (17350)Memory used [KB]: 2558 0.25/0.50 % (17350)Time elapsed: 0.038 s 0.25/0.50 % (17350)Instructions burned: 73 (million) 0.25/0.50 % (17350)------------------------------ 0.25/0.50 % (17350)------------------------------ 0.25/0.51 % (17355)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.25/0.51 % (17355)Instruction limit reached! 0.25/0.51 % (17355)------------------------------ 0.25/0.51 % (17355)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.51 % (17355)Termination reason: Unknown 0.25/0.51 % (17355)Termination phase: shuffling 0.25/0.51 0.25/0.51 % (17355)Memory used [KB]: 1663 0.25/0.51 % (17355)Time elapsed: 0.011 s 0.25/0.51 % (17355)Instructions burned: 14 (million) 0.25/0.51 % (17355)------------------------------ 0.25/0.51 % (17355)------------------------------ 0.25/0.51 % (17356)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1798ds/2Mi) 0.25/0.52 % (17356)Instruction limit reached! 0.25/0.52 % (17356)------------------------------ 0.25/0.52 % (17356)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.52 % (17356)Termination reason: Unknown 0.25/0.52 % (17356)Termination phase: shuffling 0.25/0.52 0.25/0.52 % (17356)Memory used [KB]: 1407 0.25/0.52 % (17356)Time elapsed: 0.003 s 0.25/0.52 % (17356)Instructions burned: 3 (million) 0.25/0.52 % (17356)------------------------------ 0.25/0.52 % (17356)------------------------------ 0.25/0.53 % (17357)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (1798ds/1041Mi) 0.25/0.53 % (17358)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1798ds/11Mi) 0.25/0.53 % (17358)Instruction limit reached! 0.25/0.53 % (17358)------------------------------ 0.25/0.53 % (17358)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.53 % (17358)Termination reason: Unknown 0.25/0.53 % (17358)Termination phase: shuffling 0.25/0.53 0.25/0.53 % (17358)Memory used [KB]: 1663 0.25/0.53 % (17358)Time elapsed: 0.007 s 0.25/0.53 % (17358)Instructions burned: 12 (million) 0.25/0.53 % (17358)------------------------------ 0.25/0.53 % (17358)------------------------------ 0.25/0.54 % (17354)Instruction limit reached! 0.25/0.54 % (17354)------------------------------ 0.25/0.54 % (17354)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.54 % (17354)Termination reason: Unknown 0.25/0.54 % (17354)Termination phase: Preprocessing 3 0.25/0.54 0.25/0.54 % (17354)Memory used [KB]: 2558 0.25/0.54 % (17354)Time elapsed: 0.037 s 0.25/0.54 % (17354)Instructions burned: 61 (million) 0.25/0.54 % (17354)------------------------------ 0.25/0.54 % (17354)------------------------------ 0.25/0.55 % (17360)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1798ds/26Mi) 0.25/0.55 % (17359)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1798ds/140Mi) 0.25/0.56 % (17353)Instruction limit reached! 0.25/0.56 % (17353)------------------------------ 0.25/0.56 % (17353)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.56 % (17353)Termination reason: Unknown 0.25/0.56 % (17353)Termination phase: Property scanning 0.25/0.56 0.25/0.56 % (17353)Memory used [KB]: 2814 0.25/0.56 % (17353)Time elapsed: 0.062 s 0.25/0.56 % (17353)Instructions burned: 130 (million) 0.25/0.56 % (17353)------------------------------ 0.25/0.56 % (17353)------------------------------ 0.25/0.56 % (17360)Instruction limit reached! 0.25/0.56 % (17360)------------------------------ 0.25/0.56 % (17360)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.56 % (17360)Termination reason: Unknown 0.25/0.56 % (17360)Termination phase: shuffling 0.25/0.56 0.25/0.56 % (17360)Memory used [KB]: 2046 0.25/0.56 % (17360)Time elapsed: 0.012 s 0.25/0.56 % (17360)Instructions burned: 27 (million) 0.25/0.56 % (17360)------------------------------ 0.25/0.56 % (17360)------------------------------ 0.25/0.57 % (17361)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1798ds/56Mi) 0.25/0.57 % (17362)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1798ds/275Mi) 0.25/0.57 % (17352)First to succeed. 0.25/0.58 % (17352)Refutation found. Thanks to Tanya! 0.25/0.58 % SZS status Theorem for Vampire---4 0.25/0.58 % SZS output start Proof for Vampire---4 0.25/0.58 thf(type_def_5, type, set_HF_Mirabelle_hf: $tType). 0.25/0.58 thf(type_def_6, type, nat: $tType). 0.25/0.58 thf(type_def_8, type, set_nat: $tType). 0.25/0.58 thf(type_def_9, type, set_se933006839lle_hf: $tType). 0.25/0.58 thf(type_def_10, type, hF_Mirabelle_hf: $tType). 0.25/0.58 thf(func_def_0, type, set_se933006839lle_hf: $tType). 0.25/0.58 thf(func_def_1, type, set_HF_Mirabelle_hf: $tType). 0.25/0.58 thf(func_def_2, type, hF_Mirabelle_hf: $tType). 0.25/0.58 thf(func_def_3, type, set_nat: $tType). 0.25/0.58 thf(func_def_4, type, nat: $tType). 0.25/0.58 thf(func_def_5, type, finite1213132899lle_hf: set_HF_Mirabelle_hf > nat). 0.25/0.58 thf(func_def_6, type, finite_card_nat: set_nat > nat). 0.25/0.58 thf(func_def_7, type, finite90088345lle_hf: set_se933006839lle_hf > nat). 0.25/0.58 thf(func_def_8, type, finite586181922lle_hf: set_HF_Mirabelle_hf > $o). 0.25/0.58 thf(func_def_9, type, finite_finite_nat: set_nat > $o). 0.25/0.58 thf(func_def_10, type, finite1450550360lle_hf: set_se933006839lle_hf > $o). 0.25/0.58 thf(func_def_11, type, inj_on755450110lle_hf: (hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > $o). 0.25/0.58 thf(func_def_12, type, inj_on1874279374hf_nat: (hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > $o). 0.25/0.58 thf(func_def_13, type, inj_on1988990670lle_hf: (nat > hF_Mirabelle_hf) > set_nat > $o). 0.25/0.58 thf(func_def_14, type, inj_on_nat_nat: (nat > nat) > set_nat > $o). 0.25/0.58 thf(func_def_15, type, inj_on811196232lle_hf: (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > $o). 0.25/0.58 thf(func_def_16, type, zero_z189798548lle_hf: hF_Mirabelle_hf). 0.25/0.58 thf(func_def_17, type, zero_zero_nat: nat). 0.25/0.58 thf(func_def_18, type, hF_Mir818139703ollect: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_19, type, hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_20, type, hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_21, type, hF_Mir1248913145eplace: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_22, type, hF_Mirabelle_RepFun: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_23, type, hF_Mirabelle_Replace: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_24, type, hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf). 0.25/0.58 thf(func_def_25, type, hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 0.25/0.58 thf(func_def_26, type, ord_le1310584031lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 0.25/0.58 thf(func_def_27, type, ord_less_nat: nat > nat > $o). 0.25/0.58 thf(func_def_28, type, ord_le1344122901lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o). 0.25/0.58 thf(func_def_29, type, ord_less_set_nat: set_nat > set_nat > $o). 0.25/0.58 thf(func_def_30, type, ord_le2017230260lle_hf: ($o > hF_Mirabelle_hf) > ($o > hF_Mirabelle_hf) > $o). 0.25/0.58 thf(func_def_31, type, ord_less_eq_o_nat: ($o > nat) > ($o > nat) > $o). 0.25/0.58 thf(func_def_32, type, ord_le976219883lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 0.25/0.58 thf(func_def_33, type, ord_less_eq_nat: nat > nat > $o). 0.25/0.58 thf(func_def_34, type, ord_le432112161lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o). 0.25/0.58 thf(func_def_35, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 0.25/0.58 thf(func_def_36, type, order_1640852850lle_hf: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_37, type, order_Greatest_nat: (nat > $o) > nat). 0.25/0.58 thf(func_def_38, type, order_690706045lle_hf: (hF_Mirabelle_hf > hF_Mirabelle_hf) > $o). 0.25/0.58 thf(func_def_39, type, order_557194383hf_nat: (hF_Mirabelle_hf > nat) > $o). 0.25/0.58 thf(func_def_40, type, order_671905679lle_hf: (nat > hF_Mirabelle_hf) > $o). 0.25/0.58 thf(func_def_41, type, order_1631207636at_nat: (nat > nat) > $o). 0.25/0.58 thf(func_def_42, type, orderi1737556723lle_hf: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > $o). 0.25/0.58 thf(func_def_43, type, ordering_nat: (nat > nat > $o) > (nat > nat > $o) > $o). 0.25/0.58 thf(func_def_44, type, collec2046588256lle_hf: (hF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf). 0.25/0.58 thf(func_def_45, type, collec1758573718lle_hf: (set_HF_Mirabelle_hf > $o) > set_se933006839lle_hf). 0.25/0.58 thf(func_def_46, type, image_1743964010lle_hf: (hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf). 0.25/0.58 thf(func_def_47, type, image_131453538hf_nat: (hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > set_nat). 0.25/0.58 thf(func_def_48, type, image_246164834lle_hf: (nat > hF_Mirabelle_hf) > set_nat > set_HF_Mirabelle_hf). 0.25/0.58 thf(func_def_49, type, image_nat_nat: (nat > nat) > set_nat > set_nat). 0.25/0.58 thf(func_def_50, type, image_899003828lle_hf: (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf). 0.25/0.58 thf(func_def_51, type, set_or1544565540an_nat: nat > nat > set_nat). 0.25/0.58 thf(func_def_52, type, member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o). 0.25/0.58 thf(func_def_53, type, member_nat: nat > set_nat > $o). 0.25/0.58 thf(func_def_54, type, member1490636632lle_hf: set_HF_Mirabelle_hf > set_se933006839lle_hf > $o). 0.25/0.58 thf(func_def_55, type, a: hF_Mirabelle_hf). 0.25/0.58 thf(func_def_56, type, b: hF_Mirabelle_hf). 0.25/0.58 thf(func_def_71, type, sK0: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_72, type, sK1: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_73, type, sK2: (nat > hF_Mirabelle_hf) > nat). 0.25/0.58 thf(func_def_74, type, sK3: (nat > hF_Mirabelle_hf) > nat). 0.25/0.58 thf(func_def_75, type, sK4: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_76, type, sK5: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_77, type, sK6: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_78, type, sK7: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_79, type, sK8: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_80, type, sK9: (nat > hF_Mirabelle_hf) > nat). 0.25/0.58 thf(func_def_81, type, sK10: (nat > hF_Mirabelle_hf) > nat). 0.25/0.58 thf(func_def_82, type, sK11: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_83, type, sK12: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_84, type, sK13: (nat > hF_Mirabelle_hf) > nat). 0.25/0.58 thf(func_def_85, type, sK14: (nat > hF_Mirabelle_hf) > nat). 0.25/0.58 thf(func_def_86, type, sK15: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_87, type, sK16: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_88, type, sK17: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_89, type, sK18: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_90, type, sK19: hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_91, type, sK20: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_92, type, sK21: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_93, type, sK22: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_94, type, sK23: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_95, type, sK24: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_96, type, sK25: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_97, type, sK26: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_98, type, sK27: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_99, type, sK28: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_100, type, sK29: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_101, type, sK30: (nat > hF_Mirabelle_hf) > nat). 0.25/0.58 thf(func_def_102, type, sK31: (nat > hF_Mirabelle_hf) > nat). 0.25/0.58 thf(func_def_103, type, sK32: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_104, type, sK33: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_105, type, sK34: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_106, type, sK35: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_107, type, sK36: hF_Mirabelle_hf > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_108, type, sK37: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_109, type, sK38: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_110, type, sK39: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_111, type, sK40: (hF_Mirabelle_hf > hF_Mirabelle_hf) > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_112, type, sK41: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_113, type, sK42: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_115, type, sK44: hF_Mirabelle_hf > hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_116, type, sK45: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_117, type, sK46: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_118, type, sK47: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_119, type, sK48: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_120, type, sK49: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_121, type, sK50: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_122, type, sK51: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_123, type, sK52: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_124, type, sK53: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_125, type, sK54: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_126, type, sK55: hF_Mirabelle_hf > hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_127, type, sK56: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_128, type, sK57: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_129, type, sK58: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_130, type, sK59: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_131, type, sK60: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_132, type, sK61: (nat > hF_Mirabelle_hf) > nat > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_133, type, sK62: (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_134, type, sK63: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_135, type, sK64: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_136, type, sK65: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_137, type, sK66: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_138, type, sK67: hF_Mirabelle_hf > hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_139, type, sK68: hF_Mirabelle_hf > hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_140, type, sK69: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_141, type, sK70: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_142, type, sK71: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_143, type, sK72: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_144, type, sK73: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_145, type, sK74: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_146, type, sK75: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_147, type, sK76: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_148, type, sK77: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_149, type, sK78: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_150, type, sK79: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_151, type, sK80: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_152, type, sK81: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_153, type, sK82: hF_Mirabelle_hf > nat > (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_154, type, sK83: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_155, type, sK84: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_156, type, sK85: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_157, type, sK86: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_158, type, sK87: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_159, type, sK88: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_160, type, sK89: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_161, type, sK90: (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_162, type, sK91: hF_Mirabelle_hf > nat > (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_163, type, sK92: hF_Mirabelle_hf > nat > (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_164, type, sK93: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_165, type, sK94: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_166, type, sK95: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_167, type, sK96: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_168, type, sK97: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_169, type, sK98: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_170, type, sK99: (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_171, type, sK100: (nat > hF_Mirabelle_hf) > nat > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_172, type, sK101: (nat > hF_Mirabelle_hf) > nat > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_173, type, sK102: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_174, type, sK103: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_175, type, sK104: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_176, type, sK105: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_177, type, sK106: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_178, type, sK107: hF_Mirabelle_hf > hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_179, type, sK108: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_180, type, sK109: hF_Mirabelle_hf > hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_181, type, sK110: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_182, type, sK111: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_183, type, sK112: hF_Mirabelle_hf). 0.25/0.58 thf(func_def_184, type, sK113: (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.25/0.58 thf(func_def_185, type, sK114: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.25/0.58 thf(f1897,plain,( 0.25/0.58 $false), 0.25/0.58 inference(trivial_inequality_removal,[],[f1896])). 0.25/0.58 thf(f1896,plain,( 0.25/0.58 ($false = $true)), 0.25/0.58 inference(forward_demodulation,[],[f1895,f1873])). 0.25/0.58 thf(f1873,plain,( 0.25/0.58 ($false = (member1367349282lle_hf @ sK112 @ (hF_Mirabelle_hfset @ b)))), 0.25/0.58 inference(binary_proxy_clausification,[],[f1872])). 0.25/0.58 thf(f1872,plain,( 0.25/0.58 ($false = ((member1367349282lle_hf @ sK112 @ (hF_Mirabelle_hfset @ a)) => (member1367349282lle_hf @ sK112 @ (hF_Mirabelle_hfset @ b))))), 0.25/0.58 inference(beta_eta_normalization,[],[f1871])). 0.25/0.58 thf(f1871,plain,( 0.25/0.58 ($false = ((^[Y0 : hF_Mirabelle_hf]: ((member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ a)) => (member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ b)))) @ sK112))), 0.25/0.58 inference(sigma_clausification,[],[f1870])). 0.25/0.58 thf(f1870,plain,( 0.25/0.58 ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ a)) => (member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ b))))) != $true)), 0.25/0.58 inference(beta_eta_normalization,[],[f1237])). 0.25/0.58 thf(f1237,plain,( 0.25/0.58 (((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: (((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ Y2 @ Y0) => ((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ Y2 @ Y1))))))) @ a @ b) != $true)), 0.25/0.58 inference(definition_unfolding,[],[f1172,f1204])). 0.25/0.58 thf(f1204,plain,( 0.25/0.58 (ord_le976219883lle_hf = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: (((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ Y2 @ Y0) => ((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ Y2 @ Y1))))))))), 0.25/0.58 inference(definition_unfolding,[],[f1169,f1154,f1154])). 0.25/0.58 thf(f1154,plain,( 0.25/0.58 (hF_Mirabelle_hmem = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))))), 0.25/0.58 inference(cnf_transformation,[],[f905])). 0.25/0.58 thf(f905,plain,( 0.25/0.58 (hF_Mirabelle_hmem = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))))), 0.25/0.58 inference(fool_elimination,[],[f904])). 0.25/0.58 thf(f904,plain,( 0.25/0.58 (hF_Mirabelle_hmem = (^[X0 : hF_Mirabelle_hf, X1 : hF_Mirabelle_hf] : (member1367349282lle_hf @ X0 @ (hF_Mirabelle_hfset @ X1))))), 0.25/0.58 inference(rectify,[],[f238])). 0.25/0.58 thf(f238,axiom,( 0.25/0.58 (hF_Mirabelle_hmem = (^[X1 : hF_Mirabelle_hf, X0 : hF_Mirabelle_hf] : (member1367349282lle_hf @ X1 @ (hF_Mirabelle_hfset @ X0))))), 0.25/0.58 file('/export/starexec/sandbox/tmp/tmp.YJig2TtQ25/Vampire---4.8_17231',fact_70_hmem__def)). 0.25/0.58 thf(f1169,plain,( 0.25/0.58 (ord_le976219883lle_hf = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ Y2 @ Y0) => (hF_Mirabelle_hmem @ Y2 @ Y1))))))))), 0.25/0.58 inference(cnf_transformation,[],[f559])). 0.25/0.58 thf(f559,plain,( 0.25/0.58 (ord_le976219883lle_hf = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ Y2 @ Y0) => (hF_Mirabelle_hmem @ Y2 @ Y1))))))))), 0.25/0.58 inference(fool_elimination,[],[f558])). 0.25/0.58 thf(f558,plain,( 0.25/0.58 ((^[X0 : hF_Mirabelle_hf, X1 : hF_Mirabelle_hf] : (! [X2 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ X2 @ X0) => (hF_Mirabelle_hmem @ X2 @ X1)))) = ord_le976219883lle_hf)), 0.25/0.58 inference(rectify,[],[f66])). 0.25/0.58 thf(f66,axiom,( 0.25/0.58 ((^[X27 : hF_Mirabelle_hf, X28 : hF_Mirabelle_hf] : (! [X36 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ X36 @ X27) => (hF_Mirabelle_hmem @ X36 @ X28)))) = ord_le976219883lle_hf)), 0.25/0.58 file('/export/starexec/sandbox/tmp/tmp.YJig2TtQ25/Vampire---4.8_17231',fact_6_less__eq__hf__def)). 0.25/0.58 thf(f1172,plain,( 0.25/0.58 ((ord_le976219883lle_hf @ a @ b) != $true)), 0.25/0.58 inference(cnf_transformation,[],[f1034])). 0.25/0.58 thf(f1034,plain,( 0.25/0.58 ((ord_le976219883lle_hf @ a @ b) != $true)), 0.25/0.58 inference(flattening,[],[f595])). 0.25/0.58 thf(f595,plain,( 0.25/0.58 ~((ord_le976219883lle_hf @ a @ b) = $true)), 0.25/0.58 inference(fool_elimination,[],[f594])). 0.25/0.58 thf(f594,plain,( 0.25/0.58 ~(ord_le976219883lle_hf @ a @ b)), 0.25/0.58 inference(rectify,[],[f61])). 0.25/0.58 thf(f61,negated_conjecture,( 0.25/0.58 ~(ord_le976219883lle_hf @ a @ b)), 0.25/0.58 inference(negated_conjecture,[],[f60])). 0.25/0.58 thf(f60,conjecture,( 0.25/0.58 (ord_le976219883lle_hf @ a @ b)), 0.25/0.58 file('/export/starexec/sandbox/tmp/tmp.YJig2TtQ25/Vampire---4.8_17231',conj_1)). 0.25/0.58 thf(f1895,plain,( 0.25/0.58 ((member1367349282lle_hf @ sK112 @ (hF_Mirabelle_hfset @ b)) = $true)), 0.25/0.58 inference(trivial_inequality_removal,[],[f1894])). 0.25/0.58 thf(f1894,plain,( 0.25/0.58 ((member1367349282lle_hf @ sK112 @ (hF_Mirabelle_hfset @ b)) = $true) | ($true != $true)), 0.25/0.58 inference(superposition,[],[f1341,f1874])). 0.25/0.58 thf(f1874,plain,( 0.25/0.58 ((member1367349282lle_hf @ sK112 @ (hF_Mirabelle_hfset @ a)) = $true)), 0.25/0.58 inference(binary_proxy_clausification,[],[f1872])). 0.25/0.58 thf(f1341,plain,( 0.25/0.58 ( ! [X0 : hF_Mirabelle_hf] : (((member1367349282lle_hf @ X0 @ (hF_Mirabelle_hfset @ a)) != $true) | ((member1367349282lle_hf @ X0 @ (hF_Mirabelle_hfset @ b)) = $true)) )), 0.25/0.58 inference(beta_eta_normalization,[],[f1234])). 0.25/0.58 thf(f1234,plain,( 0.25/0.58 ( ! [X0 : hF_Mirabelle_hf] : ((((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))) @ X0 @ b) = $true) | (((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))) @ X0 @ a) != $true)) )), 0.25/0.58 inference(definition_unfolding,[],[f1168,f1154,f1154])). 0.25/0.58 thf(f1168,plain,( 0.25/0.58 ( ! [X0 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0 @ a) != $true) | ((hF_Mirabelle_hmem @ X0 @ b) = $true)) )), 0.25/0.58 inference(cnf_transformation,[],[f1042])). 0.25/0.58 thf(f1042,plain,( 0.25/0.58 ! [X0 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0 @ a) != $true) | ((hF_Mirabelle_hmem @ X0 @ b) = $true))), 0.25/0.58 inference(ennf_transformation,[],[f551])). 0.25/0.58 thf(f551,plain,( 0.25/0.58 ! [X0 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0 @ a) = $true) => ((hF_Mirabelle_hmem @ X0 @ b) = $true))), 0.25/0.58 inference(fool_elimination,[],[f550])). 0.25/0.58 thf(f550,plain,( 0.25/0.58 ! [X0 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ X0 @ a) => (hF_Mirabelle_hmem @ X0 @ b))), 0.25/0.58 inference(rectify,[],[f297])). 0.25/0.58 thf(f297,axiom,( 0.25/0.58 ! [X31 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ X31 @ a) => (hF_Mirabelle_hmem @ X31 @ b))), 0.25/0.58 file('/export/starexec/sandbox/tmp/tmp.YJig2TtQ25/Vampire---4.8_17231',conj_0)). 0.25/0.58 % SZS output end Proof for Vampire---4 0.25/0.58 % (17352)------------------------------ 0.25/0.58 % (17352)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.58 % (17352)Termination reason: Refutation 0.25/0.58 0.25/0.58 % (17352)Memory used [KB]: 7419 0.25/0.58 % (17352)Time elapsed: 0.093 s 0.25/0.58 % (17352)Instructions burned: 186 (million) 0.25/0.58 % (17352)------------------------------ 0.25/0.58 % (17352)------------------------------ 0.25/0.58 % (17338)Success in time 0.17 s 0.25/0.58 % Vampire---4.8 exiting 0.25/0.58 EOF