0.11/0.34	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.34	% Command    : run_vampire %s %d THM
0.15/0.65	% Computer : n018.cluster.edu
0.15/0.65	% Model    : x86_64 x86_64
0.15/0.65	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.65	% Memory   : 8042.1875MB
0.15/0.65	% OS       : Linux 3.10.0-693.el7.x86_64
0.15/0.65	% CPULimit   : 1920
0.15/0.65	% WCLimit    : 240
0.15/0.65	% DateTime   : Wed Jul 30 02:41:20 EDT 2025
0.15/0.65	% CPUTime    : 
0.15/0.67	This is a THF_ problem
0.15/0.67	Running higher-order theorem proving
0.21/0.72	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.2fpzg8tRUR/E---3.1_31315.p -m 16384 -t 240
0.26/0.77	% (31424)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_31315 for (2399ds/27Mi)
0.26/0.77	% (31425)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_31315 for (2399ds/2Mi)
0.26/0.77	% (31423)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_31315 for (2399ds/4Mi)
0.26/0.77	% (31422)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_31315 for (2399ds/183Mi)
0.26/0.77	% (31426)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_31315 for (2399ds/2Mi)
0.26/0.77	% (31427)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_31315 for (2399ds/275Mi)
0.26/0.77	% (31428)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_31315 for (2399ds/18Mi)
0.26/0.77	% (31425)Instruction limit reached!
0.26/0.77	% (31425)------------------------------
0.26/0.77	% (31425)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.26/0.77	% (31425)Termination reason: Unknown
0.26/0.77	% (31426)Instruction limit reached!
0.26/0.77	% (31426)------------------------------
0.26/0.77	% (31426)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.26/0.77	% (31425)Termination phase: shuffling
0.26/0.77	
0.26/0.77	% (31425)Memory used [KB]: 1407
0.26/0.77	% (31425)Time elapsed: 0.004 s
0.26/0.77	% (31425)Instructions burned: 2 (million)
0.26/0.77	% (31425)------------------------------
0.26/0.77	% (31425)------------------------------
0.26/0.77	% (31426)Termination reason: Unknown
0.26/0.77	% (31426)Termination phase: shuffling
0.26/0.77	
0.26/0.77	% (31426)Memory used [KB]: 1407
0.26/0.77	% (31426)Time elapsed: 0.004 s
0.26/0.77	% (31426)Instructions burned: 2 (million)
0.26/0.77	% (31426)------------------------------
0.26/0.77	% (31426)------------------------------
0.26/0.77	% (31423)Instruction limit reached!
0.26/0.77	% (31423)------------------------------
0.26/0.77	% (31423)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.26/0.77	% (31423)Termination reason: Unknown
0.26/0.77	% (31423)Termination phase: shuffling
0.26/0.77	
0.26/0.77	% (31423)Memory used [KB]: 1535
0.26/0.77	% (31423)Time elapsed: 0.005 s
0.26/0.77	% (31423)Instructions burned: 4 (million)
0.26/0.77	% (31423)------------------------------
0.26/0.77	% (31423)------------------------------
0.26/0.78	% (31428)Instruction limit reached!
0.26/0.78	% (31428)------------------------------
0.26/0.78	% (31428)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.26/0.78	% (31428)Termination reason: Unknown
0.26/0.78	% (31428)Termination phase: shuffling
0.26/0.78	
0.26/0.78	% (31428)Memory used [KB]: 1918
0.26/0.78	% (31428)Time elapsed: 0.014 s
0.26/0.78	% (31428)Instructions burned: 18 (million)
0.26/0.78	% (31428)------------------------------
0.26/0.78	% (31428)------------------------------
0.26/0.79	% (31424)Instruction limit reached!
0.26/0.79	% (31424)------------------------------
0.26/0.79	% (31424)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.26/0.79	% (31424)Termination reason: Unknown
0.26/0.79	% (31424)Termination phase: Property scanning
0.26/0.79	
0.26/0.79	% (31424)Memory used [KB]: 1918
0.26/0.79	% (31424)Time elapsed: 0.020 s
0.26/0.79	% (31424)Instructions burned: 28 (million)
0.26/0.79	% (31429)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_31315 for (2399ds/3Mi)
0.26/0.79	% (31424)------------------------------
0.26/0.79	% (31424)------------------------------
0.26/0.79	% (31430)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_31315 for (2399ds/37Mi)
0.26/0.79	% (31431)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_31315 for (2399ds/15Mi)
0.26/0.79	% (31429)Instruction limit reached!
0.26/0.79	% (31429)------------------------------
0.26/0.79	% (31429)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.26/0.79	% (31429)Termination reason: Unknown
0.26/0.79	% (31429)Termination phase: shuffling
0.26/0.79	
0.26/0.79	% (31429)Memory used [KB]: 1407
0.26/0.79	% (31429)Time elapsed: 0.004 s
0.26/0.79	% (31429)Instructions burned: 3 (million)
0.26/0.79	% (31429)------------------------------
0.26/0.79	% (31429)------------------------------
0.26/0.80	% (31432)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_31315 for (2399ds/3Mi)
0.26/0.80	% (31431)Instruction limit reached!
0.26/0.80	% (31431)------------------------------
0.26/0.80	% (31431)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.26/0.80	% (31431)Termination reason: Unknown
0.26/0.80	% (31431)Termination phase: shuffling
0.26/0.80	
0.26/0.80	% (31431)Memory used [KB]: 1791
0.26/0.80	% (31431)Time elapsed: 0.012 s
0.26/0.80	% (31431)Instructions burned: 15 (million)
0.26/0.80	% (31431)------------------------------
0.26/0.80	% (31431)------------------------------
0.26/0.80	% (31432)Instruction limit reached!
0.26/0.80	% (31432)------------------------------
0.26/0.80	% (31432)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.26/0.80	% (31432)Termination reason: Unknown
0.26/0.80	% (31432)Termination phase: shuffling
0.26/0.80	
0.26/0.80	% (31432)Memory used [KB]: 1535
0.26/0.80	% (31432)Time elapsed: 0.004 s
0.26/0.80	% (31432)Instructions burned: 4 (million)
0.26/0.80	% (31432)------------------------------
0.26/0.80	% (31432)------------------------------
0.26/0.80	% (31427)First to succeed.
0.26/0.80	% (31427)Refutation found. Thanks to Tanya!
0.26/0.80	% SZS status Theorem for E---3.1_31315
0.26/0.80	% SZS output start Proof for E---3.1_31315
0.26/0.80	thf(type_def_5, type, set_o: $tType).
0.26/0.80	thf(type_def_7, type, set_Ex113815278nnreal: $tType).
0.26/0.80	thf(type_def_8, type, extend1728876344nnreal: $tType).
0.26/0.80	thf(type_def_9, type, set_Fi1058188332real_n: $tType).
0.26/0.80	thf(type_def_10, type, finite1489363574real_n: $tType).
0.26/0.80	thf(type_def_11, type, set_set_o: $tType).
0.26/0.80	thf(type_def_12, type, set_se944069346_int_n: $tType).
0.26/0.80	thf(type_def_13, type, set_Fi160064172_int_n: $tType).
0.26/0.80	thf(type_def_14, type, set_se2111327970real_n: $tType).
0.26/0.80	thf(type_def_15, type, set_set_nat: $tType).
0.26/0.80	thf(type_def_16, type, set_nat: $tType).
0.26/0.80	thf(type_def_17, type, set_se820660888real_n: $tType).
0.26/0.80	thf(type_def_18, type, set_Si1125517487real_n: $tType).
0.26/0.80	thf(type_def_19, type, sigma_1466784463real_n: $tType).
0.26/0.80	thf(type_def_20, type, nat: $tType).
0.26/0.80	thf(type_def_21, type, finite964658038_int_n: $tType).
0.26/0.80	thf(type_def_22, type, sigma_measure_o: $tType).
0.26/0.80	thf(type_def_23, type, sigma_1422848389real_n: $tType).
0.26/0.80	thf(func_def_0, type, sigma_1422848389real_n: $tType).
0.26/0.80	thf(func_def_1, type, set_Si1125517487real_n: $tType).
0.26/0.80	thf(func_def_2, type, set_se820660888real_n: $tType).
0.26/0.80	thf(func_def_3, type, sigma_1466784463real_n: $tType).
0.26/0.80	thf(func_def_4, type, set_se2111327970real_n: $tType).
0.26/0.80	thf(func_def_5, type, set_se944069346_int_n: $tType).
0.26/0.80	thf(func_def_6, type, set_Fi1058188332real_n: $tType).
0.26/0.80	thf(func_def_7, type, set_Fi160064172_int_n: $tType).
0.26/0.80	thf(func_def_8, type, finite1489363574real_n: $tType).
0.26/0.80	thf(func_def_9, type, finite964658038_int_n: $tType).
0.26/0.80	thf(func_def_10, type, set_Ex113815278nnreal: $tType).
0.26/0.80	thf(func_def_11, type, set_set_nat: $tType).
0.26/0.80	thf(func_def_12, type, extend1728876344nnreal: $tType).
0.26/0.80	thf(func_def_13, type, sigma_measure_o: $tType).
0.26/0.80	thf(func_def_14, type, set_set_o: $tType).
0.26/0.80	thf(func_def_15, type, set_nat: $tType).
0.26/0.80	thf(func_def_16, type, set_o: $tType).
0.26/0.80	thf(func_def_17, type, nat: $tType).
0.26/0.80	thf(func_def_18, type, complete_Sup_Sup_o: set_o > $o).
0.26/0.80	thf(func_def_19, type, comple1413366923nnreal: set_Ex113815278nnreal > extend1728876344nnreal).
0.26/0.80	thf(func_def_20, type, comple2042271945real_n: set_Fi1058188332real_n > finite1489363574real_n).
0.26/0.80	thf(func_def_21, type, comple1665300069_set_o: set_set_o > set_o).
0.26/0.80	thf(func_def_22, type, comple970917503_int_n: set_se944069346_int_n > set_Fi160064172_int_n).
0.26/0.80	thf(func_def_23, type, comple825005695real_n: set_se2111327970real_n > set_Fi1058188332real_n).
0.26/0.80	thf(func_def_24, type, comple1682161881et_nat: set_set_nat > set_nat).
0.26/0.80	thf(func_def_25, type, comple1917283637real_n: set_se820660888real_n > set_se2111327970real_n).
0.26/0.80	thf(func_def_26, type, comple488165692real_n: set_Si1125517487real_n > sigma_1466784463real_n).
0.26/0.80	thf(func_def_27, type, comple230862828real_n: sigma_1466784463real_n > sigma_1466784463real_n).
0.26/0.80	thf(func_def_28, type, counta1142393929_int_n: set_Fi160064172_int_n > nat > finite964658038_int_n).
0.26/0.80	thf(func_def_29, type, minus_1196255695_int_n: finite964658038_int_n > finite964658038_int_n > finite964658038_int_n).
0.26/0.80	thf(func_def_30, type, minus_1037315151real_n: finite1489363574real_n > finite1489363574real_n > finite1489363574real_n).
0.26/0.81	thf(func_def_31, type, minus_1686442501real_n: set_Fi1058188332real_n > set_Fi1058188332real_n > set_Fi1058188332real_n).
0.26/0.81	thf(func_def_32, type, one_on705384445nnreal: extend1728876344nnreal).
0.26/0.81	thf(func_def_33, type, one_on1253059131real_n: finite1489363574real_n).
0.26/0.81	thf(func_def_34, type, plus_p1763960001nnreal: extend1728876344nnreal > extend1728876344nnreal > extend1728876344nnreal).
0.26/0.81	thf(func_def_35, type, plus_p1654784127_int_n: finite964658038_int_n > finite964658038_int_n > finite964658038_int_n).
0.26/0.81	thf(func_def_36, type, plus_p585657087real_n: finite1489363574real_n > finite1489363574real_n > finite1489363574real_n).
0.26/0.81	thf(func_def_37, type, zero_z1963244097nnreal: extend1728876344nnreal).
0.26/0.81	thf(func_def_38, type, zero_z200130687real_n: finite1489363574real_n).
0.26/0.81	thf(func_def_39, type, inf_inf_set_o: set_o > set_o > set_o).
0.26/0.81	thf(func_def_40, type, inf_in1108485182_int_n: set_Fi160064172_int_n > set_Fi160064172_int_n > set_Fi160064172_int_n).
0.26/0.81	thf(func_def_41, type, inf_in1974387902real_n: set_Fi1058188332real_n > set_Fi1058188332real_n > set_Fi1058188332real_n).
0.26/0.81	thf(func_def_42, type, inf_inf_set_nat: set_nat > set_nat > set_nat).
0.26/0.81	thf(func_def_43, type, inf_in632889204real_n: set_se2111327970real_n > set_se2111327970real_n > set_se2111327970real_n).
0.26/0.81	thf(func_def_44, type, lebesg260170249real_n: sigma_1466784463real_n).
0.26/0.81	thf(func_def_45, type, measure_null_sets_o: sigma_measure_o > set_set_o).
0.26/0.81	thf(func_def_46, type, measur1402256771real_n: sigma_1466784463real_n > set_se2111327970real_n).
0.26/0.81	thf(func_def_47, type, measur2126959417real_n: sigma_1422848389real_n > set_se820660888real_n).
0.26/0.81	thf(func_def_48, type, minkow1134813771n_real: finite964658038_int_n > finite1489363574real_n).
0.26/0.81	thf(func_def_49, type, ord_le2133614988nnreal: extend1728876344nnreal > extend1728876344nnreal > $o).
0.26/0.81	thf(func_def_50, type, top_to287930409nt_n_o: finite964658038_int_n > $o).
0.26/0.81	thf(func_def_51, type, top_top_nat_o: nat > $o).
0.26/0.81	thf(func_def_53, type, top_to1845833192nnreal: extend1728876344nnreal).
0.26/0.81	thf(func_def_54, type, top_top_set_o: set_o).
0.26/0.81	thf(func_def_55, type, top_to131672412_int_n: set_Fi160064172_int_n).
0.26/0.81	thf(func_def_56, type, top_to1292442332real_n: set_Fi1058188332real_n).
0.26/0.81	thf(func_def_57, type, top_top_set_nat: set_nat).
0.26/0.81	thf(func_def_58, type, top_to1587634578_int_n: set_se944069346_int_n).
0.26/0.81	thf(func_def_59, type, top_to20708754real_n: set_se2111327970real_n).
0.26/0.81	thf(func_def_60, type, top_top_set_set_nat: set_set_nat).
0.26/0.81	thf(func_def_61, type, sums_E1192373732nnreal: (nat > extend1728876344nnreal) > extend1728876344nnreal > $o).
0.26/0.81	thf(func_def_62, type, collect_o: ($o > $o) > set_o).
0.26/0.81	thf(func_def_63, type, collec1941932235_int_n: (finite964658038_int_n > $o) > set_Fi160064172_int_n).
0.26/0.81	thf(func_def_64, type, collec321817931real_n: (finite1489363574real_n > $o) > set_Fi1058188332real_n).
0.26/0.81	thf(func_def_65, type, collect_nat: (nat > $o) > set_nat).
0.26/0.81	thf(func_def_66, type, collec452821761real_n: (set_Fi1058188332real_n > $o) > set_se2111327970real_n).
0.26/0.81	thf(func_def_67, type, image_o_o: ($o > $o) > set_o > set_o).
0.26/0.81	thf(func_def_68, type, image_o_set_o: ($o > set_o) > set_o > set_set_o).
0.26/0.81	thf(func_def_69, type, image_1759008383real_n: ($o > set_Fi1058188332real_n) > set_o > set_se2111327970real_n).
0.26/0.81	thf(func_def_70, type, image_452144437real_n: ($o > set_se2111327970real_n) > set_o > set_se820660888real_n).
0.26/0.81	thf(func_def_71, type, image_1599934780real_n: ($o > sigma_1466784463real_n) > set_o > set_Si1125517487real_n).
0.26/0.81	thf(func_def_72, type, image_2066995319nnreal: (extend1728876344nnreal > extend1728876344nnreal) > set_Ex113815278nnreal > set_Ex113815278nnreal).
0.26/0.81	thf(func_def_73, type, image_216309723nt_n_o: (finite964658038_int_n > $o) > set_Fi160064172_int_n > set_o).
0.26/0.81	thf(func_def_74, type, image_1278151539_int_n: (finite964658038_int_n > finite964658038_int_n) > set_Fi160064172_int_n > set_Fi160064172_int_n).
0.26/0.81	thf(func_def_75, type, image_2058828787real_n: (finite964658038_int_n > finite1489363574real_n) > set_Fi160064172_int_n > set_Fi1058188332real_n).
0.26/0.81	thf(func_def_76, type, image_497739341_n_nat: (finite964658038_int_n > nat) > set_Fi160064172_int_n > set_nat).
0.26/0.81	thf(func_def_77, type, image_1819506345_int_n: (finite964658038_int_n > set_Fi160064172_int_n) > set_Fi160064172_int_n > set_se944069346_int_n).
0.26/0.81	thf(func_def_78, type, image_355963305real_n: (finite964658038_int_n > set_Fi1058188332real_n) > set_Fi160064172_int_n > set_se2111327970real_n).
0.26/0.81	thf(func_def_79, type, image_1085873667et_nat: (finite964658038_int_n > set_nat) > set_Fi160064172_int_n > set_set_nat).
0.26/0.81	thf(func_def_80, type, image_439535603real_n: (finite1489363574real_n > finite1489363574real_n) > set_Fi1058188332real_n > set_Fi1058188332real_n).
0.26/0.81	thf(func_def_81, type, image_545463721real_n: (finite1489363574real_n > set_Fi1058188332real_n) > set_Fi1058188332real_n > set_se2111327970real_n).
0.26/0.81	thf(func_def_82, type, image_nat_o: (nat > $o) > set_nat > set_o).
0.26/0.81	thf(func_def_83, type, image_1961920973_int_n: (nat > finite964658038_int_n) > set_nat > set_Fi160064172_int_n).
0.26/0.81	thf(func_def_84, type, image_183184717real_n: (nat > finite1489363574real_n) > set_nat > set_Fi1058188332real_n).
0.26/0.81	thf(func_def_85, type, image_nat_nat: (nat > nat) > set_nat > set_nat).
0.26/0.81	thf(func_def_86, type, image_968789251_int_n: (nat > set_Fi160064172_int_n) > set_nat > set_se944069346_int_n).
0.26/0.81	thf(func_def_87, type, image_1856576259real_n: (nat > set_Fi1058188332real_n) > set_nat > set_se2111327970real_n).
0.26/0.81	thf(func_def_88, type, image_nat_set_nat: (nat > set_nat) > set_nat > set_set_nat).
0.26/0.81	thf(func_def_89, type, image_set_o_o: (set_o > $o) > set_set_o > set_o).
0.26/0.81	thf(func_def_90, type, image_792439519real_n: (set_Fi160064172_int_n > set_Fi1058188332real_n) > set_se944069346_int_n > set_se2111327970real_n).
0.26/0.81	thf(func_def_91, type, image_1054146965real_n: (set_Fi160064172_int_n > set_se2111327970real_n) > set_se944069346_int_n > set_se820660888real_n).
0.26/0.81	thf(func_def_92, type, image_1648361637al_n_o: (set_Fi1058188332real_n > $o) > set_se2111327970real_n > set_o).
0.26/0.81	thf(func_def_93, type, image_1687589765_set_o: (set_Fi1058188332real_n > set_o) > set_se2111327970real_n > set_set_o).
0.26/0.81	thf(func_def_94, type, image_1661509983real_n: (set_Fi1058188332real_n > set_Fi1058188332real_n) > set_se2111327970real_n > set_se2111327970real_n).
0.26/0.81	thf(func_def_95, type, image_797440021real_n: (set_Fi1058188332real_n > set_se2111327970real_n) > set_se2111327970real_n > set_se820660888real_n).
0.26/0.81	thf(func_def_96, type, image_987430492real_n: (set_Fi1058188332real_n > sigma_1466784463real_n) > set_se2111327970real_n > set_Si1125517487real_n).
0.26/0.81	thf(func_def_97, type, image_933134521real_n: (set_nat > set_Fi1058188332real_n) > set_set_nat > set_se2111327970real_n).
0.26/0.81	thf(func_def_98, type, image_1587769199real_n: (set_nat > set_se2111327970real_n) > set_set_nat > set_se820660888real_n).
0.26/0.81	thf(func_def_99, type, image_1681970287al_n_o: (set_se2111327970real_n > $o) > set_se820660888real_n > set_o).
0.26/0.81	thf(func_def_100, type, image_1298280374real_n: (sigma_1466784463real_n > set_Fi1058188332real_n) > set_Si1125517487real_n > set_se2111327970real_n).
0.26/0.81	thf(func_def_101, type, vimage_o_o: ($o > $o) > set_o > set_o).
0.26/0.81	thf(func_def_102, type, vimage961837641real_n: ($o > set_Fi1058188332real_n) > set_se2111327970real_n > set_o).
0.26/0.81	thf(func_def_103, type, vimage1122713129_int_n: (finite964658038_int_n > finite964658038_int_n) > set_Fi160064172_int_n > set_Fi160064172_int_n).
0.26/0.81	thf(func_def_104, type, vimage1276736425real_n: (finite964658038_int_n > finite1489363574real_n) > set_Fi1058188332real_n > set_Fi160064172_int_n).
0.26/0.81	thf(func_def_105, type, vimage1398021123_n_nat: (finite964658038_int_n > nat) > set_nat > set_Fi160064172_int_n).
0.26/0.81	thf(func_def_106, type, vimage464515423real_n: (finite964658038_int_n > set_Fi1058188332real_n) > set_se2111327970real_n > set_Fi160064172_int_n).
0.26/0.81	thf(func_def_107, type, vimage1233683625real_n: (finite1489363574real_n > finite1489363574real_n) > set_Fi1058188332real_n > set_Fi1058188332real_n).
0.26/0.81	thf(func_def_108, type, vimage714719107_int_n: (nat > finite964658038_int_n) > set_Fi160064172_int_n > set_nat).
0.26/0.81	thf(func_def_109, type, vimage1860757507real_n: (nat > finite1489363574real_n) > set_Fi1058188332real_n > set_nat).
0.26/0.81	thf(func_def_110, type, vimage_nat_nat: (nat > nat) > set_nat > set_nat).
0.26/0.81	thf(func_def_111, type, vimage3210681real_n: (nat > set_Fi1058188332real_n) > set_se2111327970real_n > set_nat).
0.26/0.81	thf(func_def_112, type, vimage851190895al_n_o: (set_Fi1058188332real_n > $o) > set_o > set_se2111327970real_n).
0.26/0.81	thf(func_def_113, type, vimage784510485real_n: (set_Fi1058188332real_n > set_Fi1058188332real_n) > set_se2111327970real_n > set_se2111327970real_n).
0.26/0.81	thf(func_def_114, type, sigma_1536574303real_n: sigma_1466784463real_n > set_Fi1058188332real_n > extend1728876344nnreal).
0.26/0.81	thf(func_def_115, type, sigma_1235138647real_n: sigma_1466784463real_n > set_se2111327970real_n).
0.26/0.81	thf(func_def_116, type, sigma_space_o: sigma_measure_o > set_o).
0.26/0.81	thf(func_def_117, type, sigma_476185326real_n: sigma_1466784463real_n > set_Fi1058188332real_n).
0.26/0.81	thf(func_def_118, type, sigma_607186084real_n: sigma_1422848389real_n > set_se2111327970real_n).
0.26/0.81	thf(func_def_119, type, member_o: $o > set_o > $o).
0.26/0.81	thf(func_def_120, type, member1217042383nnreal: extend1728876344nnreal > set_Ex113815278nnreal > $o).
0.26/0.81	thf(func_def_121, type, member27055245_int_n: finite964658038_int_n > set_Fi160064172_int_n > $o).
0.26/0.81	thf(func_def_122, type, member1352538125real_n: finite1489363574real_n > set_Fi1058188332real_n > $o).
0.26/0.81	thf(func_def_123, type, member_nat: nat > set_nat > $o).
0.26/0.81	thf(func_def_124, type, member_set_o: set_o > set_set_o > $o).
0.26/0.81	thf(func_def_125, type, member223413699real_n: set_Fi1058188332real_n > set_se2111327970real_n > $o).
0.26/0.81	thf(func_def_126, type, member1475136633real_n: set_se2111327970real_n > set_se820660888real_n > $o).
0.26/0.81	thf(func_def_127, type, member1000184real_n: sigma_1466784463real_n > set_Si1125517487real_n > $o).
0.26/0.81	thf(func_def_128, type, r: finite964658038_int_n > set_Fi1058188332real_n).
0.26/0.81	thf(func_def_129, type, s: set_Fi1058188332real_n).
0.26/0.81	thf(func_def_130, type, t: finite964658038_int_n > set_Fi1058188332real_n).
0.26/0.81	thf(func_def_131, type, t2: finite964658038_int_n > set_Fi1058188332real_n).
0.26/0.81	thf(func_def_132, type, f: nat > finite964658038_int_n).
0.26/0.81	thf(func_def_142, type, sK0: set_Fi1058188332real_n > (nat > set_Fi1058188332real_n) > nat).
0.26/0.81	thf(func_def_143, type, sK1: (finite964658038_int_n > set_Fi1058188332real_n) > sigma_1466784463real_n > finite964658038_int_n).
0.26/0.81	thf(func_def_144, type, sK2: sigma_1466784463real_n > (nat > set_Fi1058188332real_n) > nat).
0.26/0.81	thf(func_def_145, type, sK3: (finite964658038_int_n > set_Fi1058188332real_n) > set_Fi1058188332real_n > finite964658038_int_n).
0.26/0.81	thf(func_def_147, type, ph5: !>[X0: $tType]:(X0)).
0.26/0.81	thf(func_def_148, type, sK6: nat).
0.26/0.81	thf(f987,plain,(
0.26/0.81	  $false),
0.26/0.81	  inference(subsumption_resolution,[],[f986,f947])).
0.26/0.81	thf(f947,plain,(
0.26/0.81	  ( ! [X0 : finite964658038_int_n] : (((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t2 @ X0)) = (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t @ X0)))) )),
0.26/0.81	  inference(cnf_transformation,[],[f901])).
0.26/0.81	thf(f901,plain,(
0.26/0.81	  ! [X0 : finite964658038_int_n] : ((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t2 @ X0)) = (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t @ X0)))),
0.26/0.81	  inference(rectify,[],[f173])).
0.26/0.81	thf(f173,axiom,(
0.26/0.81	  ! [X10 : finite964658038_int_n] : ((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t @ X10)) = (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t2 @ X10)))),
0.26/0.81	  file('/export/starexec/sandbox/tmp/tmp.2fpzg8tRUR/E---3.1_31315.p',fact_0_emeasure__T_H)).
0.26/0.81	thf(f986,plain,(
0.26/0.81	  ((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t2 @ (f @ sK6))) != (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t @ (f @ sK6))))),
0.26/0.81	  inference(beta_eta_normalization,[],[f985])).
0.26/0.81	thf(f985,plain,(
0.26/0.81	  (((^[Y0 : nat]: (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t @ (f @ Y0)))) @ sK6) != ((^[Y0 : nat]: (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t2 @ (f @ Y0)))) @ sK6))),
0.26/0.81	  inference(negative_extensionality,[],[f955])).
0.26/0.81	thf(f955,plain,(
0.26/0.81	  ((^[Y0 : nat]: (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t @ (f @ Y0)))) != (^[Y0 : nat]: (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t2 @ (f @ Y0)))))),
0.26/0.81	  inference(cnf_transformation,[],[f900])).
0.26/0.81	thf(f900,plain,(
0.26/0.81	  ((^[Y0 : nat]: (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t @ (f @ Y0)))) != (^[Y0 : nat]: (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t2 @ (f @ Y0)))))),
0.26/0.81	  inference(flattening,[],[f422])).
0.26/0.81	thf(f422,plain,(
0.26/0.81	  ~((^[Y0 : nat]: (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t @ (f @ Y0)))) = (^[Y0 : nat]: (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t2 @ (f @ Y0)))))),
0.26/0.81	  inference(fool_elimination,[],[f421])).
0.26/0.81	thf(f421,plain,(
0.26/0.81	  ~((^[X0 : nat] : (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t @ (f @ X0)))) = (^[X1 : nat] : (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t2 @ (f @ X1)))))),
0.26/0.81	  inference(rectify,[],[f74])).
0.26/0.81	thf(f74,negated_conjecture,(
0.26/0.81	  ~((^[X17 : nat] : (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t @ (f @ X17)))) = (^[X17 : nat] : (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t2 @ (f @ X17)))))),
0.26/0.81	  inference(negated_conjecture,[],[f73])).
0.26/0.81	thf(f73,conjecture,(
0.26/0.81	  ((^[X17 : nat] : (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t @ (f @ X17)))) = (^[X17 : nat] : (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n) @ (t2 @ (f @ X17)))))),
0.26/0.81	  file('/export/starexec/sandbox/tmp/tmp.2fpzg8tRUR/E---3.1_31315.p',conj_0)).
0.26/0.81	% SZS output end Proof for E---3.1_31315
0.26/0.81	% (31427)------------------------------
0.26/0.81	% (31427)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.26/0.81	% (31427)Termination reason: Refutation
0.26/0.81	
0.26/0.81	% (31427)Memory used [KB]: 6652
0.26/0.81	% (31427)Time elapsed: 0.034 s
0.26/0.81	% (31427)Instructions burned: 50 (million)
0.26/0.81	% (31427)------------------------------
0.26/0.81	% (31427)------------------------------
0.26/0.81	% (31421)Success in time 0.061 s
0.26/0.81	EOF