0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n020.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 08:22:24 EDT 2024 0.12/0.33 % CPUTime : 0.12/0.35 This is a THF_ problem 0.12/0.35 Running higher-order theorem proving 0.21/0.39 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.qvLks5d9rd/E---3.1_24885.p -m 16384 -t 180 0.21/0.43 % (24996)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_24885 for (1799ds/2Mi) 0.21/0.43 % (24994)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on E---3.1_24885 for (1799ds/4Mi) 0.21/0.43 % (24995)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on E---3.1_24885 for (1799ds/27Mi) 0.21/0.43 % (24997)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_24885 for (1799ds/2Mi) 0.21/0.43 % (24993)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_24885 for (1799ds/183Mi) 0.21/0.43 % (24998)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_24885 for (1799ds/275Mi) 0.21/0.43 % (24999)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_24885 for (1799ds/18Mi) 0.21/0.43 % (24996)Instruction limit reached! 0.21/0.43 % (24996)------------------------------ 0.21/0.43 % (24996)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.43 % (24996)Termination reason: Unknown 0.21/0.43 % (24997)Instruction limit reached! 0.21/0.43 % (24997)------------------------------ 0.21/0.43 % (24997)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.43 % (24996)Termination phase: shuffling 0.21/0.43 0.21/0.43 % (24996)Memory used [KB]: 1407 0.21/0.43 % (24996)Time elapsed: 0.004 s 0.21/0.43 % (24996)Instructions burned: 2 (million) 0.21/0.43 % (24996)------------------------------ 0.21/0.43 % (24996)------------------------------ 0.21/0.43 % (24997)Termination reason: Unknown 0.21/0.43 % (24997)Termination phase: shuffling 0.21/0.43 0.21/0.43 % (24997)Memory used [KB]: 1407 0.21/0.43 % (24997)Time elapsed: 0.004 s 0.21/0.43 % (24997)Instructions burned: 2 (million) 0.21/0.43 % (24997)------------------------------ 0.21/0.43 % (24997)------------------------------ 0.21/0.43 % (24994)Instruction limit reached! 0.21/0.43 % (24994)------------------------------ 0.21/0.43 % (24994)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.43 % (24994)Termination reason: Unknown 0.21/0.43 % (24994)Termination phase: shuffling 0.21/0.43 0.21/0.43 % (24994)Memory used [KB]: 1535 0.21/0.43 % (24994)Time elapsed: 0.005 s 0.21/0.43 % (24994)Instructions burned: 4 (million) 0.21/0.43 % (24994)------------------------------ 0.21/0.43 % (24994)------------------------------ 0.21/0.44 % (24999)Instruction limit reached! 0.21/0.44 % (24999)------------------------------ 0.21/0.44 % (24999)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.44 % (24999)Termination reason: Unknown 0.21/0.44 % (24999)Termination phase: Property scanning 0.21/0.44 0.21/0.44 % (24999)Memory used [KB]: 1791 0.21/0.44 % (24999)Time elapsed: 0.014 s 0.21/0.44 % (24999)Instructions burned: 20 (million) 0.21/0.44 % (24999)------------------------------ 0.21/0.44 % (24999)------------------------------ 0.21/0.45 % (24995)Instruction limit reached! 0.21/0.45 % (24995)------------------------------ 0.21/0.45 % (24995)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.45 % (24995)Termination reason: Unknown 0.21/0.45 % (24995)Termination phase: Property scanning 0.21/0.45 0.21/0.45 % (24995)Memory used [KB]: 1918 0.21/0.45 % (24995)Time elapsed: 0.019 s 0.21/0.45 % (24995)Instructions burned: 28 (million) 0.21/0.45 % (24995)------------------------------ 0.21/0.45 % (24995)------------------------------ 0.21/0.45 % (25000)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on E---3.1_24885 for (1799ds/3Mi) 0.21/0.45 % (25001)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on E---3.1_24885 for (1799ds/37Mi) 0.21/0.45 % (25002)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on E---3.1_24885 for (1799ds/15Mi) 0.21/0.45 % (25000)Instruction limit reached! 0.21/0.45 % (25000)------------------------------ 0.21/0.45 % (25000)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.45 % (25000)Termination reason: Unknown 0.21/0.45 % (25000)Termination phase: shuffling 0.21/0.45 0.21/0.45 % (25000)Memory used [KB]: 1407 0.21/0.45 % (25000)Time elapsed: 0.004 s 0.21/0.45 % (25000)Instructions burned: 3 (million) 0.21/0.45 % (25000)------------------------------ 0.21/0.45 % (25000)------------------------------ 0.21/0.46 % (25003)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on E---3.1_24885 for (1799ds/3Mi) 0.21/0.46 % (25003)Instruction limit reached! 0.21/0.46 % (25003)------------------------------ 0.21/0.46 % (25003)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.46 % (25003)Termination reason: Unknown 0.21/0.46 % (25003)Termination phase: shuffling 0.21/0.46 0.21/0.46 % (25003)Memory used [KB]: 1535 0.21/0.46 % (25003)Time elapsed: 0.004 s 0.21/0.46 % (25003)Instructions burned: 4 (million) 0.21/0.46 % (25003)------------------------------ 0.21/0.46 % (25003)------------------------------ 0.21/0.46 % (25002)Instruction limit reached! 0.21/0.46 % (25002)------------------------------ 0.21/0.46 % (25002)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.46 % (25002)Termination reason: Unknown 0.21/0.46 % (25002)Termination phase: shuffling 0.21/0.46 0.21/0.46 % (25002)Memory used [KB]: 1791 0.21/0.46 % (25002)Time elapsed: 0.012 s 0.21/0.46 % (25002)Instructions burned: 15 (million) 0.21/0.46 % (25002)------------------------------ 0.21/0.46 % (25002)------------------------------ 0.21/0.46 % (25004)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 E---3.1_24885 for (1799ds/1041Mi) 0.21/0.47 % (24998)First to succeed. 0.21/0.47 % (25005)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_24885 for (1799ds/7Mi) 0.21/0.47 % (25006)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_24885 for (1799ds/16Mi) 0.21/0.47 % (25001)Instruction limit reached! 0.21/0.47 % (25001)------------------------------ 0.21/0.47 % (25001)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.47 % (25001)Termination reason: Unknown 0.21/0.47 % (25001)Termination phase: shuffling 0.21/0.47 0.21/0.47 % (25001)Memory used [KB]: 2302 0.21/0.47 % (25001)Time elapsed: 0.022 s 0.21/0.47 % (25001)Instructions burned: 38 (million) 0.21/0.47 % (25001)------------------------------ 0.21/0.47 % (25001)------------------------------ 0.26/0.47 % (24998)Refutation found. Thanks to Tanya! 0.26/0.47 % SZS status Theorem for E---3.1_24885 0.26/0.47 % SZS output start Proof for E---3.1_24885 0.26/0.47 thf(type_def_5, type, set_Extended_ereal_o: $tType). 0.26/0.47 thf(type_def_6, type, extended_ereal: $tType). 0.26/0.47 thf(type_def_8, type, set_a_o: $tType). 0.26/0.47 thf(type_def_9, type, a: $tType). 0.26/0.47 thf(type_def_10, type, set_Extended_ereal: $tType). 0.26/0.47 thf(type_def_11, type, set_real: $tType). 0.26/0.47 thf(type_def_12, type, real: $tType). 0.26/0.47 thf(type_def_13, type, set_se767749006_ereal: $tType). 0.26/0.47 thf(type_def_14, type, set_se1849684334_ereal: $tType). 0.26/0.47 thf(type_def_15, type, set_set_set_a: $tType). 0.26/0.47 thf(type_def_16, type, set_set_a: $tType). 0.26/0.47 thf(type_def_17, type, set_a: $tType). 0.26/0.47 thf(type_def_18, type, set_Pr1158285382l_real: $tType). 0.26/0.47 thf(type_def_19, type, set_Pr1928503567a_real: $tType). 0.26/0.47 thf(type_def_20, type, set_Pr597221087l_real: $tType). 0.26/0.47 thf(type_def_21, type, product_prod_a_real: $tType). 0.26/0.47 thf(func_def_0, type, set_Pr1158285382l_real: $tType). 0.26/0.47 thf(func_def_1, type, set_Pr597221087l_real: $tType). 0.26/0.47 thf(func_def_2, type, set_se1849684334_ereal: $tType). 0.26/0.47 thf(func_def_3, type, set_Pr1928503567a_real: $tType). 0.26/0.47 thf(func_def_4, type, set_se767749006_ereal: $tType). 0.26/0.47 thf(func_def_5, type, set_Extended_ereal_o: $tType). 0.26/0.47 thf(func_def_6, type, set_set_set_a: $tType). 0.26/0.47 thf(func_def_7, type, product_prod_a_real: $tType). 0.26/0.47 thf(func_def_8, type, set_Extended_ereal: $tType). 0.26/0.47 thf(func_def_9, type, set_set_a: $tType). 0.26/0.47 thf(func_def_10, type, set_a_o: $tType). 0.26/0.47 thf(func_def_11, type, set_real: $tType). 0.26/0.47 thf(func_def_12, type, extended_ereal: $tType). 0.26/0.47 thf(func_def_13, type, set_a: $tType). 0.26/0.47 thf(func_def_14, type, real: $tType). 0.26/0.47 thf(func_def_15, type, a: $tType). 0.26/0.47 thf(func_def_16, type, comple179807490real_o: set_Extended_ereal_o > extended_ereal > $o). 0.26/0.47 thf(func_def_17, type, complete_Sup_Sup_a_o: set_a_o > a > $o). 0.26/0.47 thf(func_def_18, type, comple1161760187_ereal: set_Extended_ereal > extended_ereal). 0.26/0.47 thf(func_def_19, type, comple2129349247p_real: set_real > real). 0.26/0.47 thf(func_def_20, type, comple767846299_ereal: set_se767749006_ereal > set_Extended_ereal). 0.26/0.47 thf(func_def_21, type, comple1517911419_ereal: set_se1849684334_ereal > set_se767749006_ereal). 0.26/0.47 thf(func_def_22, type, comple968993579_set_a: set_set_set_a > set_set_a). 0.26/0.47 thf(func_def_23, type, comple1766734283_set_a: set_set_a > set_a). 0.26/0.47 thf(func_def_24, type, convex291263275l_real: set_Pr1158285382l_real > $o). 0.26/0.47 thf(func_def_25, type, convex78185044a_real: set_Pr1928503567a_real > $o). 0.26/0.47 thf(func_def_26, type, convex_a: set_a > $o). 0.26/0.47 thf(func_def_27, type, extend1289208545_ereal: extended_ereal). 0.26/0.47 thf(func_def_28, type, extended_MInfty: extended_ereal). 0.26/0.47 thf(func_def_29, type, extended_PInfty: extended_ereal). 0.26/0.47 thf(func_def_30, type, extended_ereal2: real > extended_ereal). 0.26/0.47 thf(func_def_31, type, extend1716541707_ereal: extended_ereal > real). 0.26/0.47 thf(func_def_32, type, times_1966848393_ereal: extended_ereal > extended_ereal > extended_ereal). 0.26/0.47 thf(func_def_33, type, times_times_real: real > real > real). 0.26/0.47 thf(func_def_34, type, uminus1208298309_ereal: extended_ereal > extended_ereal). 0.26/0.47 thf(func_def_35, type, uminus_uminus_real: real > real). 0.26/0.47 thf(func_def_36, type, uminus360668453_ereal: set_Extended_ereal > set_Extended_ereal). 0.26/0.47 thf(func_def_37, type, uminus_uminus_set_a: set_a > set_a). 0.26/0.47 thf(func_def_38, type, zero_z163181189_ereal: extended_ereal). 0.26/0.47 thf(func_def_39, type, zero_zero_real: real). 0.26/0.47 thf(func_def_40, type, lower_331963542_ereal: set_Extended_ereal > (extended_ereal > extended_ereal) > set_Pr597221087l_real). 0.26/0.47 thf(func_def_41, type, lower_870348689a_real: set_Pr1928503567a_real > (product_prod_a_real > extended_ereal) > set_Pr1158285382l_real). 0.26/0.47 thf(func_def_42, type, lower_930854854raph_a: set_a > (a > extended_ereal) > set_Pr1928503567a_real). 0.26/0.47 thf(func_def_43, type, lower_128423320e_on_a: set_a > (a > extended_ereal) > $o). 0.26/0.47 thf(func_def_44, type, lower_1023700310e_on_a: set_a > (a > extended_ereal) > $o). 0.26/0.47 thf(func_def_45, type, lower_591730471a_real: set_Pr1928503567a_real > (product_prod_a_real > extended_ereal) > $o). 0.26/0.47 thf(func_def_46, type, lower_311861424x_on_a: set_a > (a > extended_ereal) > $o). 0.26/0.47 thf(func_def_47, type, lower_1359521925a_real: (product_prod_a_real > extended_ereal) > set_Pr1928503567a_real). 0.26/0.47 thf(func_def_48, type, lower_1391529426main_a: (a > extended_ereal) > set_a). 0.26/0.47 thf(func_def_49, type, lower_1486931688e_on_a: set_a > (a > extended_ereal) > $o). 0.26/0.47 thf(func_def_50, type, ord_le824540014_ereal: extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_51, type, ord_less_eq_real: real > real > $o). 0.26/0.47 thf(func_def_52, type, ord_le88246606_ereal: set_Extended_ereal > set_Extended_ereal > $o). 0.26/0.47 thf(func_def_53, type, ord_le1586073967a_real: set_Pr1928503567a_real > set_Pr1928503567a_real > $o). 0.26/0.47 thf(func_def_54, type, ord_less_eq_set_real: set_real > set_real > $o). 0.26/0.47 thf(func_def_55, type, ord_le1153389358_ereal: set_se767749006_ereal > set_se767749006_ereal > $o). 0.26/0.47 thf(func_def_56, type, ord_le318720350_set_a: set_set_a > set_set_a > $o). 0.26/0.47 thf(func_def_57, type, ord_less_eq_set_a: set_a > set_a > $o). 0.26/0.47 thf(func_def_58, type, order_1158471719_ereal: (extended_ereal > $o) > extended_ereal). 0.26/0.47 thf(func_def_59, type, order_Greatest_real: (real > $o) > real). 0.26/0.47 thf(func_def_60, type, top_to398855007real_o: extended_ereal > $o). 0.26/0.47 thf(func_def_61, type, top_top_a_o: a > $o). 0.26/0.47 thf(func_def_63, type, top_to802031902_ereal: extended_ereal). 0.26/0.47 thf(func_def_64, type, top_to772344469real_o: set_Extended_ereal_o). 0.26/0.47 thf(func_def_65, type, top_top_set_a_o: set_a_o). 0.26/0.47 thf(func_def_66, type, top_to1767659262_ereal: set_Extended_ereal). 0.26/0.47 thf(func_def_67, type, top_to2138011583a_real: set_Pr1928503567a_real). 0.26/0.47 thf(func_def_68, type, top_top_set_real: set_real). 0.26/0.47 thf(func_def_69, type, top_to692740318_ereal: set_se767749006_ereal). 0.26/0.47 thf(func_def_70, type, top_to1791633086_ereal: set_se1849684334_ereal). 0.26/0.47 thf(func_def_71, type, top_to1486684270_set_a: set_set_set_a). 0.26/0.47 thf(func_def_72, type, top_top_set_set_a: set_set_a). 0.26/0.47 thf(func_def_73, type, top_top_set_a: set_a). 0.26/0.47 thf(func_def_74, type, divide595620860_ereal: extended_ereal > extended_ereal > extended_ereal). 0.26/0.47 thf(func_def_75, type, divide_divide_real: real > real > real). 0.26/0.47 thf(func_def_76, type, collec247695033_ereal: (extended_ereal > $o) > set_Extended_ereal). 0.26/0.47 thf(func_def_77, type, collec1714955950a_real: (product_prod_a_real > $o) > set_Pr1928503567a_real). 0.26/0.47 thf(func_def_78, type, collect_a: (a > $o) > set_a). 0.26/0.47 thf(func_def_79, type, member1900190071_ereal: extended_ereal > set_Extended_ereal > $o). 0.26/0.47 thf(func_def_80, type, member1103263856a_real: product_prod_a_real > set_Pr1928503567a_real > $o). 0.26/0.47 thf(func_def_81, type, member_real: real > set_real > $o). 0.26/0.47 thf(func_def_82, type, member450560855_ereal: set_Extended_ereal > set_se767749006_ereal > $o). 0.26/0.47 thf(func_def_83, type, member_set_a: set_a > set_set_a > $o). 0.26/0.47 thf(func_def_84, type, member_a: a > set_a > $o). 0.26/0.47 thf(func_def_85, type, f: a > extended_ereal). 0.26/0.47 thf(func_def_99, type, sP0: extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_100, type, sP1: extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_101, type, sP2: extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_102, type, sP3: extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_103, type, sP4: extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_104, type, sP5: extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_105, type, sP6: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_106, type, sP7: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_107, type, sP8: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_108, type, sP9: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_109, type, sP10: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_110, type, sP11: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_111, type, sP12: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_112, type, sP13: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_113, type, sP14: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_114, type, sP15: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_115, type, sP16: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_116, type, sP17: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_117, type, sP18: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_118, type, sP19: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_119, type, sP20: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_120, type, sP21: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_121, type, sP22: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_122, type, sP23: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_123, type, sP24: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_124, type, sP25: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_125, type, sP26: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_126, type, sP27: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_127, type, sP28: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_128, type, sP29: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_129, type, sP30: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_130, type, sP31: extended_ereal > extended_ereal > extended_ereal > $o). 0.26/0.47 thf(func_def_131, type, sK32: (extended_ereal > set_a) > extended_ereal). 0.26/0.47 thf(func_def_132, type, sK33: (extended_ereal > set_a) > extended_ereal). 0.26/0.47 thf(func_def_133, type, sK34: extended_ereal > real). 0.26/0.47 thf(func_def_134, type, sK35: extended_ereal > real). 0.26/0.47 thf(func_def_135, type, sK36: extended_ereal > real). 0.26/0.47 thf(func_def_136, type, sK37: extended_ereal > real). 0.26/0.47 thf(func_def_137, type, sK38: extended_ereal > real). 0.26/0.47 thf(func_def_138, type, sK39: extended_ereal > real). 0.26/0.47 thf(func_def_139, type, sK40: (set_a > real) > set_a). 0.26/0.47 thf(func_def_140, type, sK41: (set_a > real) > set_a). 0.26/0.47 thf(func_def_141, type, sK42: extended_ereal > real). 0.26/0.47 thf(func_def_142, type, sK43: extended_ereal > real). 0.26/0.47 thf(func_def_143, type, sK44: extended_ereal > real). 0.26/0.47 thf(func_def_144, type, sK45: extended_ereal > real). 0.26/0.47 thf(func_def_145, type, sK46: extended_ereal > real). 0.26/0.47 thf(func_def_146, type, sK47: extended_ereal > real). 0.26/0.47 thf(func_def_147, type, sK48: extended_ereal > real). 0.26/0.47 thf(func_def_148, type, sK49: extended_ereal > real). 0.26/0.47 thf(func_def_149, type, sK50: extended_ereal > real). 0.26/0.47 thf(func_def_150, type, sK51: extended_ereal > real). 0.26/0.47 thf(func_def_151, type, sK52: extended_ereal > real). 0.26/0.47 thf(func_def_152, type, sK53: extended_ereal > real). 0.26/0.47 thf(func_def_153, type, sK54: extended_ereal > real). 0.26/0.47 thf(func_def_154, type, sK55: extended_ereal > real). 0.26/0.47 thf(func_def_155, type, sK56: extended_ereal > real). 0.26/0.47 thf(func_def_156, type, sK57: extended_ereal > real). 0.26/0.47 thf(func_def_157, type, sK58: extended_ereal > real). 0.26/0.47 thf(func_def_158, type, sK59: extended_ereal > real). 0.26/0.47 thf(func_def_159, type, sK60: extended_ereal > real). 0.26/0.47 thf(func_def_160, type, sK61: extended_ereal > real). 0.26/0.47 thf(func_def_161, type, sK62: extended_ereal > real). 0.26/0.47 thf(func_def_162, type, sK63: extended_ereal > real). 0.26/0.47 thf(func_def_163, type, sK64: extended_ereal > real). 0.26/0.47 thf(func_def_164, type, sK65: extended_ereal > real). 0.26/0.47 thf(func_def_165, type, sK66: extended_ereal > real). 0.26/0.47 thf(func_def_166, type, sK67: extended_ereal > real). 0.26/0.47 thf(func_def_167, type, sK68: extended_ereal > real). 0.26/0.47 thf(func_def_168, type, sK69: (real > set_a) > real). 0.26/0.47 thf(func_def_169, type, sK70: (real > set_a) > real). 0.26/0.47 thf(func_def_170, type, sK71: extended_ereal > real). 0.26/0.47 thf(func_def_171, type, sK72: extended_ereal > real). 0.26/0.47 thf(func_def_172, type, sK73: (a > extended_ereal) > set_a). 0.26/0.47 thf(func_def_173, type, sK74: (extended_ereal > extended_ereal > $o) > real). 0.26/0.47 thf(func_def_174, type, sK75: (extended_ereal > extended_ereal > $o) > real). 0.26/0.47 thf(func_def_175, type, sK76: (extended_ereal > extended_ereal > $o) > real). 0.26/0.47 thf(func_def_176, type, sK77: (extended_ereal > extended_ereal > $o) > real). 0.26/0.47 thf(func_def_177, type, sK78: (extended_ereal > extended_ereal > $o) > real). 0.26/0.47 thf(func_def_178, type, sK79: (extended_ereal > extended_ereal > $o) > real). 0.26/0.47 thf(func_def_179, type, sK80: (extended_ereal > $o) > real). 0.26/0.47 thf(func_def_180, type, sK81: (a > extended_ereal) > set_a). 0.26/0.47 thf(func_def_181, type, sK82: (extended_ereal > extended_ereal > $o) > real). 0.26/0.47 thf(func_def_182, type, sK83: (extended_ereal > extended_ereal > $o) > real). 0.26/0.47 thf(func_def_183, type, sK84: (extended_ereal > extended_ereal > $o) > extended_ereal). 0.26/0.47 thf(func_def_184, type, sK85: (extended_ereal > extended_ereal > $o) > real). 0.26/0.47 thf(func_def_185, type, sK86: (extended_ereal > extended_ereal > $o) > real). 0.26/0.47 thf(func_def_186, type, sK87: (extended_ereal > extended_ereal > $o) > extended_ereal). 0.26/0.47 thf(func_def_187, type, sK88: extended_ereal > real). 0.26/0.47 thf(func_def_188, type, sK89: (set_a > extended_ereal) > set_a). 0.26/0.47 thf(func_def_189, type, sK90: (set_a > extended_ereal) > set_a). 0.26/0.47 thf(func_def_190, type, sK91: extended_ereal > real). 0.26/0.47 thf(func_def_191, type, sK92: (extended_ereal > $o) > real). 0.26/0.47 thf(func_def_192, type, sK93: (extended_ereal > extended_ereal > $o) > extended_ereal). 0.26/0.47 thf(func_def_193, type, sK94: (extended_ereal > extended_ereal > $o) > extended_ereal). 0.26/0.47 thf(func_def_194, type, sK95: (extended_ereal > extended_ereal > $o) > real). 0.26/0.47 thf(func_def_195, type, sK96: (extended_ereal > extended_ereal > $o) > real). 0.26/0.47 thf(func_def_196, type, sK97: (extended_ereal > extended_ereal > $o) > real). 0.26/0.47 thf(func_def_197, type, sK98: (extended_ereal > extended_ereal > $o) > real). 0.26/0.47 thf(func_def_198, type, sK99: extended_ereal > real). 0.26/0.47 thf(func_def_199, type, sK100: extended_ereal > real). 0.26/0.47 thf(func_def_201, type, ph102: !>[X0: $tType]:(X0)). 0.26/0.47 thf(f1375,plain,( 0.26/0.47 $false), 0.26/0.47 inference(avatar_sat_refutation,[],[f1345,f1350,f1374])). 0.26/0.47 thf(f1374,plain,( 0.26/0.47 ~spl101_1), 0.26/0.47 inference(avatar_contradiction_clause,[],[f1373])). 0.26/0.47 thf(f1373,plain,( 0.26/0.47 $false | ~spl101_1), 0.26/0.47 inference(subsumption_resolution,[],[f1360,f1336])). 0.26/0.47 thf(f1336,plain,( 0.26/0.47 ((lower_311861424x_on_a @ top_top_set_a @ f) = $true)), 0.26/0.47 inference(subsumption_resolution,[],[f1334,f1186])). 0.26/0.47 thf(f1186,plain,( 0.26/0.47 ((lower_311861424x_on_a @ top_top_set_a @ f) = $true) | ((convex_a @ (lower_1391529426main_a @ f)) != $true)), 0.26/0.47 inference(cnf_transformation,[],[f929])). 0.26/0.47 thf(f929,plain,( 0.26/0.47 ((convex_a @ (lower_1391529426main_a @ f)) != $true) | ((lower_311861424x_on_a @ top_top_set_a @ f) = $true)), 0.26/0.47 inference(ennf_transformation,[],[f618])). 0.26/0.47 thf(f618,plain,( 0.26/0.47 ((convex_a @ (lower_1391529426main_a @ f)) = $true) => ((lower_311861424x_on_a @ top_top_set_a @ f) = $true)), 0.26/0.47 inference(fool_elimination,[],[f617])). 0.26/0.47 thf(f617,plain,( 0.26/0.47 (convex_a @ (lower_1391529426main_a @ f)) => (lower_311861424x_on_a @ top_top_set_a @ f)), 0.26/0.47 inference(rectify,[],[f103])). 0.26/0.47 thf(f103,axiom,( 0.26/0.47 (convex_a @ (lower_1391529426main_a @ f)) => (lower_311861424x_on_a @ top_top_set_a @ f)), 0.26/0.47 file('/export/starexec/sandbox/tmp/tmp.qvLks5d9rd/E---3.1_24885.p',fact_0__092_060open_062convex_A_Idomain_Af_J_A_092_060Longrightarrow_062_ALower__Semicontinuous__Mirabelle__mxyexokbxt_Oconvex__on_AUNIV_Af_092_060close_062)). 0.26/0.47 thf(f1334,plain,( 0.26/0.47 ((lower_311861424x_on_a @ top_top_set_a @ f) = $true) | ((convex_a @ (lower_1391529426main_a @ f)) = $true)), 0.26/0.47 inference(binary_proxy_clausification,[],[f1303])). 0.26/0.47 thf(f1303,plain,( 0.26/0.47 ((lower_311861424x_on_a @ top_top_set_a @ f) != (convex_a @ (lower_1391529426main_a @ f)))), 0.26/0.47 inference(cnf_transformation,[],[f884])). 0.26/0.47 thf(f884,plain,( 0.26/0.47 ((lower_311861424x_on_a @ top_top_set_a @ f) != (convex_a @ (lower_1391529426main_a @ f)))), 0.26/0.47 inference(flattening,[],[f170])). 0.26/0.47 thf(f170,negated_conjecture,( 0.26/0.47 ~((lower_311861424x_on_a @ top_top_set_a @ f) = (convex_a @ (lower_1391529426main_a @ f)))), 0.26/0.47 inference(negated_conjecture,[],[f169])). 0.26/0.47 thf(f169,conjecture,( 0.26/0.47 ((lower_311861424x_on_a @ top_top_set_a @ f) = (convex_a @ (lower_1391529426main_a @ f)))), 0.26/0.47 file('/export/starexec/sandbox/tmp/tmp.qvLks5d9rd/E---3.1_24885.p',conj_0)). 0.26/0.47 thf(f1360,plain,( 0.26/0.47 ((lower_311861424x_on_a @ top_top_set_a @ f) != $true) | ~spl101_1), 0.26/0.47 inference(trivial_inequality_removal,[],[f1353])). 0.26/0.47 thf(f1353,plain,( 0.26/0.47 ($false = $true) | ((lower_311861424x_on_a @ top_top_set_a @ f) != $true) | ~spl101_1), 0.26/0.47 inference(superposition,[],[f1340,f1288])). 0.26/0.47 thf(f1288,plain,( 0.26/0.47 ( ! [X2 : set_a,X0 : a > extended_ereal] : (($true = (lower_311861424x_on_a @ X2 @ X0)) | ($true != (lower_311861424x_on_a @ top_top_set_a @ X0))) )), 0.26/0.47 inference(cnf_transformation,[],[f1115])). 0.26/0.47 thf(f1115,plain,( 0.26/0.47 ! [X0 : a > extended_ereal] : ((($true = (lower_311861424x_on_a @ top_top_set_a @ X0)) | ((lower_311861424x_on_a @ (sK73 @ X0) @ X0) != $true)) & (! [X2 : set_a] : ($true = (lower_311861424x_on_a @ X2 @ X0)) | ($true != (lower_311861424x_on_a @ top_top_set_a @ X0))))), 0.26/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK73])],[f1113,f1114])). 0.26/0.47 thf(f1114,plain,( 0.26/0.47 ! [X0 : a > extended_ereal] : (? [X1 : set_a] : ((lower_311861424x_on_a @ X1 @ X0) != $true) => ((lower_311861424x_on_a @ (sK73 @ X0) @ X0) != $true))), 0.26/0.47 introduced(choice_axiom,[])). 0.26/0.47 thf(f1113,plain,( 0.26/0.47 ! [X0 : a > extended_ereal] : ((($true = (lower_311861424x_on_a @ top_top_set_a @ X0)) | ? [X1 : set_a] : ((lower_311861424x_on_a @ X1 @ X0) != $true)) & (! [X2 : set_a] : ($true = (lower_311861424x_on_a @ X2 @ X0)) | ($true != (lower_311861424x_on_a @ top_top_set_a @ X0))))), 0.26/0.47 inference(rectify,[],[f1112])). 0.26/0.47 thf(f1112,plain,( 0.26/0.47 ! [X0 : a > extended_ereal] : ((($true = (lower_311861424x_on_a @ top_top_set_a @ X0)) | ? [X1 : set_a] : ((lower_311861424x_on_a @ X1 @ X0) != $true)) & (! [X1 : set_a] : ((lower_311861424x_on_a @ X1 @ X0) = $true) | ($true != (lower_311861424x_on_a @ top_top_set_a @ X0))))), 0.26/0.47 inference(nnf_transformation,[],[f401])). 0.26/0.47 thf(f401,plain,( 0.26/0.47 ! [X0 : a > extended_ereal] : (($true = (lower_311861424x_on_a @ top_top_set_a @ X0)) <=> ! [X1 : set_a] : ((lower_311861424x_on_a @ X1 @ X0) = $true))), 0.26/0.47 inference(fool_elimination,[],[f400])). 0.26/0.47 thf(f400,plain,( 0.26/0.47 ! [X0 : a > extended_ereal] : ((lower_311861424x_on_a @ top_top_set_a @ X0) = ! [X1 : set_a] : (lower_311861424x_on_a @ X1 @ X0))), 0.26/0.47 inference(rectify,[],[f77])). 0.26/0.47 thf(f77,axiom,( 0.26/0.47 ! [X6 : a > extended_ereal] : ((lower_311861424x_on_a @ top_top_set_a @ X6) = ! [X39 : set_a] : (lower_311861424x_on_a @ X39 @ X6))), 0.26/0.47 file('/export/starexec/sandbox/tmp/tmp.qvLks5d9rd/E---3.1_24885.p',fact_5_convex__on__ereal__univ)). 0.26/0.47 thf(f1340,plain,( 0.26/0.47 ((lower_311861424x_on_a @ top_top_set_a @ f) = $false) | ~spl101_1), 0.26/0.47 inference(avatar_component_clause,[],[f1338])). 0.26/0.47 thf(f1338,plain,( 0.26/0.47 spl101_1 <=> ((lower_311861424x_on_a @ top_top_set_a @ f) = $false)), 0.26/0.47 introduced(avatar_definition,[new_symbols(naming,[spl101_1])])). 0.26/0.47 thf(f1350,plain,( 0.26/0.47 ~spl101_2), 0.26/0.47 inference(avatar_contradiction_clause,[],[f1349])). 0.26/0.47 thf(f1349,plain,( 0.26/0.47 $false | ~spl101_2), 0.26/0.47 inference(trivial_inequality_removal,[],[f1348])). 0.26/0.47 thf(f1348,plain,( 0.26/0.47 ($false = $true) | ~spl101_2), 0.26/0.47 inference(forward_demodulation,[],[f1347,f1344])). 0.26/0.47 thf(f1344,plain,( 0.26/0.47 ((convex_a @ (lower_1391529426main_a @ f)) = $false) | ~spl101_2), 0.26/0.47 inference(avatar_component_clause,[],[f1342])). 0.26/0.47 thf(f1342,plain,( 0.26/0.47 spl101_2 <=> ((convex_a @ (lower_1391529426main_a @ f)) = $false)), 0.26/0.47 introduced(avatar_definition,[new_symbols(naming,[spl101_2])])). 0.26/0.47 thf(f1347,plain,( 0.26/0.47 ((convex_a @ (lower_1391529426main_a @ f)) = $true)), 0.26/0.47 inference(trivial_inequality_removal,[],[f1346])). 0.26/0.47 thf(f1346,plain,( 0.26/0.47 ($true != $true) | ((convex_a @ (lower_1391529426main_a @ f)) = $true)), 0.26/0.47 inference(superposition,[],[f1299,f1336])). 0.26/0.47 thf(f1299,plain,( 0.26/0.47 ( ! [X0 : a > extended_ereal] : (($true != (lower_311861424x_on_a @ top_top_set_a @ X0)) | ($true = (convex_a @ (lower_1391529426main_a @ X0)))) )), 0.26/0.47 inference(cnf_transformation,[],[f910])). 0.26/0.47 thf(f910,plain,( 0.26/0.47 ! [X0 : a > extended_ereal] : (($true = (convex_a @ (lower_1391529426main_a @ X0))) | ($true != (lower_311861424x_on_a @ top_top_set_a @ X0)))), 0.26/0.47 inference(ennf_transformation,[],[f449])). 0.26/0.47 thf(f449,plain,( 0.26/0.47 ! [X0 : a > extended_ereal] : (($true = (lower_311861424x_on_a @ top_top_set_a @ X0)) => ($true = (convex_a @ (lower_1391529426main_a @ X0))))), 0.26/0.47 inference(fool_elimination,[],[f448])). 0.26/0.47 thf(f448,plain,( 0.26/0.47 ! [X0 : a > extended_ereal] : ((lower_311861424x_on_a @ top_top_set_a @ X0) => (convex_a @ (lower_1391529426main_a @ X0)))), 0.26/0.47 inference(rectify,[],[f303])). 0.26/0.47 thf(f303,axiom,( 0.26/0.47 ! [X6 : a > extended_ereal] : ((lower_311861424x_on_a @ top_top_set_a @ X6) => (convex_a @ (lower_1391529426main_a @ X6)))), 0.26/0.47 file('/export/starexec/sandbox/tmp/tmp.qvLks5d9rd/E---3.1_24885.p',fact_2_convex__domain)). 0.26/0.47 thf(f1345,plain,( 0.26/0.47 spl101_1 | spl101_2), 0.26/0.47 inference(avatar_split_clause,[],[f1335,f1342,f1338])). 0.26/0.47 thf(f1335,plain,( 0.26/0.47 ((convex_a @ (lower_1391529426main_a @ f)) = $false) | ((lower_311861424x_on_a @ top_top_set_a @ f) = $false)), 0.26/0.47 inference(binary_proxy_clausification,[],[f1303])). 0.26/0.47 % SZS output end Proof for E---3.1_24885 0.26/0.47 % (24998)------------------------------ 0.26/0.47 % (24998)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.47 % (24998)Termination reason: Refutation 0.26/0.47 0.26/0.47 % (24998)Memory used [KB]: 6780 0.26/0.47 % (24998)Time elapsed: 0.038 s 0.26/0.47 % (24998)Instructions burned: 58 (million) 0.26/0.47 % (24998)------------------------------ 0.26/0.47 % (24998)------------------------------ 0.26/0.47 % (24992)Success in time 0.054 s 0.26/0.47 EOF