0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command    : run_vampire %s %d THM
0.10/0.31	% Computer : n023.cluster.edu
0.10/0.31	% Model    : x86_64 x86_64
0.10/0.31	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory   : 8042.1875MB
0.10/0.31	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 1440
0.10/0.31	% WCLimit    : 180
0.10/0.31	% DateTime   : Thu Jul  4 08:03:09 EDT 2024
0.10/0.31	% CPUTime    : 
0.10/0.34	This is a THF_ problem
0.10/0.34	Running higher-order theorem proving
0.16/0.37	Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.XZaEoaESVS/E---3.1_3716.p -m 16384 -t 180
0.16/0.40	% (3827)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_3716 for (1799ds/27Mi)
0.16/0.41	% (3829)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_3716 for (1799ds/2Mi)
0.16/0.41	% (3828)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_3716 for (1799ds/2Mi)
0.16/0.41	% (3828)Instruction limit reached!
0.16/0.41	% (3828)------------------------------
0.16/0.41	% (3828)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.16/0.41	% (3828)Termination reason: Unknown
0.16/0.41	% (3828)Termination phase: shuffling
0.16/0.41	% (3829)Instruction limit reached!
0.16/0.41	% (3829)------------------------------
0.16/0.41	% (3829)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.16/0.41	% (3829)Termination reason: Unknown
0.16/0.41	% (3829)Termination phase: shuffling
0.16/0.41	
0.16/0.41	% (3829)Memory used [KB]: 1279
0.16/0.41	% (3829)Time elapsed: 0.003 s
0.16/0.41	% (3829)Instructions burned: 2 (million)
0.16/0.41	% (3829)------------------------------
0.16/0.41	% (3829)------------------------------
0.16/0.41	
0.16/0.41	% (3828)Memory used [KB]: 1279
0.16/0.41	% (3828)Time elapsed: 0.003 s
0.16/0.41	% (3828)Instructions burned: 2 (million)
0.16/0.41	% (3828)------------------------------
0.16/0.41	% (3828)------------------------------
0.16/0.41	% (3831)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_3716 for (1799ds/18Mi)
0.16/0.41	% (3826)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_3716 for (1799ds/4Mi)
0.16/0.41	% (3826)Instruction limit reached!
0.16/0.41	% (3826)------------------------------
0.16/0.41	% (3826)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.16/0.41	% (3826)Termination reason: Unknown
0.16/0.41	% (3826)Termination phase: shuffling
0.16/0.41	
0.16/0.41	% (3826)Memory used [KB]: 1279
0.16/0.41	% (3826)Time elapsed: 0.003 s
0.16/0.41	% (3826)Instructions burned: 4 (million)
0.16/0.41	% (3826)------------------------------
0.16/0.41	% (3826)------------------------------
0.16/0.41	% (3825)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_3716 for (1799ds/183Mi)
0.16/0.42	% (3827)Instruction limit reached!
0.16/0.42	% (3827)------------------------------
0.16/0.42	% (3827)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.16/0.42	% (3827)Termination reason: Unknown
0.16/0.42	% (3827)Termination phase: Preprocessing 1
0.16/0.42	
0.16/0.42	% (3827)Memory used [KB]: 1663
0.16/0.42	% (3827)Time elapsed: 0.015 s
0.16/0.42	% (3827)Instructions burned: 28 (million)
0.16/0.42	% (3827)------------------------------
0.16/0.42	% (3827)------------------------------
0.16/0.42	% (3831)Instruction limit reached!
0.16/0.42	% (3831)------------------------------
0.16/0.42	% (3831)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.16/0.42	% (3831)Termination reason: Unknown
0.16/0.42	% (3831)Termination phase: Property scanning
0.16/0.42	
0.16/0.42	% (3831)Memory used [KB]: 1663
0.16/0.42	% (3831)Time elapsed: 0.012 s
0.16/0.42	% (3831)Instructions burned: 18 (million)
0.16/0.42	% (3831)------------------------------
0.16/0.42	% (3831)------------------------------
0.16/0.42	% (3830)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_3716 for (1799ds/275Mi)
0.16/0.42	% (3832)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_3716 for (1799ds/3Mi)
0.16/0.42	% (3832)Instruction limit reached!
0.16/0.42	% (3832)------------------------------
0.16/0.42	% (3832)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.16/0.42	% (3832)Termination reason: Unknown
0.16/0.42	% (3832)Termination phase: shuffling
0.16/0.42	
0.16/0.42	% (3832)Memory used [KB]: 1279
0.16/0.42	% (3832)Time elapsed: 0.004 s
0.16/0.42	% (3832)Instructions burned: 4 (million)
0.16/0.42	% (3832)------------------------------
0.16/0.42	% (3832)------------------------------
0.16/0.43	% (3835)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_3716 for (1799ds/3Mi)
0.16/0.43	% (3834)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_3716 for (1799ds/15Mi)
0.16/0.43	% (3836)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_3716 for (1799ds/1041Mi)
0.16/0.43	% (3835)Instruction limit reached!
0.16/0.43	% (3835)------------------------------
0.16/0.43	% (3835)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.16/0.43	% (3835)Termination reason: Unknown
0.16/0.43	% (3835)Termination phase: shuffling
0.16/0.43	
0.16/0.43	% (3835)Memory used [KB]: 1407
0.16/0.43	% (3835)Time elapsed: 0.004 s
0.16/0.43	% (3835)Instructions burned: 5 (million)
0.16/0.43	% (3835)------------------------------
0.16/0.43	% (3835)------------------------------
0.16/0.44	% (3837)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_3716 for (1799ds/7Mi)
0.16/0.44	% (3837)Instruction limit reached!
0.16/0.44	% (3837)------------------------------
0.16/0.44	% (3837)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.16/0.44	% (3837)Termination reason: Unknown
0.16/0.44	% (3837)Termination phase: shuffling
0.16/0.44	
0.16/0.44	% (3837)Memory used [KB]: 1407
0.16/0.44	% (3837)Time elapsed: 0.006 s
0.16/0.44	% (3837)Instructions burned: 7 (million)
0.16/0.44	% (3837)------------------------------
0.16/0.44	% (3837)------------------------------
0.16/0.45	% (3838)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_3716 for (1799ds/16Mi)
0.16/0.45	% (3834)Instruction limit reached!
0.16/0.45	% (3834)------------------------------
0.16/0.45	% (3834)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.16/0.45	% (3834)Termination reason: Unknown
0.16/0.45	% (3834)Termination phase: shuffling
0.16/0.45	
0.16/0.45	% (3834)Memory used [KB]: 1535
0.16/0.45	% (3834)Time elapsed: 0.008 s
0.16/0.45	% (3834)Instructions burned: 15 (million)
0.16/0.45	% (3834)------------------------------
0.16/0.45	% (3834)------------------------------
0.16/0.45	% (3833)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_3716 for (1799ds/37Mi)
0.18/0.45	% (3838)Instruction limit reached!
0.18/0.45	% (3838)------------------------------
0.18/0.45	% (3838)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.18/0.45	% (3838)Termination reason: Unknown
0.18/0.45	% (3838)Termination phase: shuffling
0.18/0.45	
0.18/0.45	% (3838)Memory used [KB]: 1663
0.18/0.45	% (3838)Time elapsed: 0.010 s
0.18/0.45	% (3838)Instructions burned: 17 (million)
0.18/0.45	% (3838)------------------------------
0.18/0.45	% (3838)------------------------------
0.18/0.46	% (3839)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on E---3.1_3716 for (1799ds/3Mi)
0.18/0.46	% (3839)Instruction limit reached!
0.18/0.46	% (3839)------------------------------
0.18/0.46	% (3839)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.18/0.46	% (3839)Termination reason: Unknown
0.18/0.46	% (3839)Termination phase: shuffling
0.18/0.46	
0.18/0.46	% (3839)Memory used [KB]: 1407
0.18/0.46	% (3839)Time elapsed: 0.004 s
0.18/0.46	% (3839)Instructions burned: 4 (million)
0.18/0.46	% (3839)------------------------------
0.18/0.46	% (3839)------------------------------
0.18/0.47	% (3841)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on E---3.1_3716 for (1799ds/7Mi)
0.18/0.47	% (3841)Instruction limit reached!
0.18/0.47	% (3841)------------------------------
0.18/0.47	% (3841)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.18/0.47	% (3841)Termination reason: Unknown
0.18/0.47	% (3841)Termination phase: shuffling
0.18/0.47	
0.18/0.47	% (3841)Memory used [KB]: 1407
0.18/0.47	% (3841)Time elapsed: 0.006 s
0.18/0.47	% (3841)Instructions burned: 8 (million)
0.18/0.47	% (3841)------------------------------
0.18/0.47	% (3841)------------------------------
0.18/0.47	% (3840)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_3716 for (1799ds/3Mi)
0.18/0.48	% (3840)Instruction limit reached!
0.18/0.48	% (3840)------------------------------
0.18/0.48	% (3840)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.18/0.48	% (3840)Termination reason: Unknown
0.18/0.48	% (3840)Termination phase: shuffling
0.18/0.48	
0.18/0.48	% (3840)Memory used [KB]: 1407
0.18/0.48	% (3840)Time elapsed: 0.004 s
0.18/0.48	% (3840)Instructions burned: 5 (million)
0.18/0.48	% (3840)------------------------------
0.18/0.48	% (3840)------------------------------
0.18/0.48	% (3842)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on E---3.1_3716 for (1799ds/3Mi)
0.18/0.48	% (3842)Instruction limit reached!
0.18/0.48	% (3842)------------------------------
0.18/0.48	% (3842)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.18/0.48	% (3842)Termination reason: Unknown
0.18/0.48	% (3842)Termination phase: shuffling
0.18/0.48	
0.18/0.48	% (3842)Memory used [KB]: 1279
0.18/0.48	% (3842)Time elapsed: 0.003 s
0.18/0.48	% (3842)Instructions burned: 3 (million)
0.18/0.48	% (3842)------------------------------
0.18/0.48	% (3842)------------------------------
0.18/0.48	% (3833)Instruction limit reached!
0.18/0.48	% (3833)------------------------------
0.18/0.48	% (3833)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.18/0.48	% (3833)Termination reason: Unknown
0.18/0.48	% (3833)Termination phase: Property scanning
0.18/0.48	
0.18/0.48	% (3833)Memory used [KB]: 2046
0.18/0.48	% (3833)Time elapsed: 0.022 s
0.18/0.48	% (3833)Instructions burned: 38 (million)
0.18/0.48	% (3833)------------------------------
0.18/0.48	% (3833)------------------------------
0.18/0.48	% (3830)First to succeed.
0.18/0.49	% (3830)Refutation found. Thanks to Tanya!
0.18/0.49	% SZS status Theorem for E---3.1_3716
0.18/0.49	% SZS output start Proof for E---3.1_3716
0.18/0.49	thf(type_def_5, type, nat: $tType).
0.18/0.49	thf(type_def_7, type, a: $tType).
0.18/0.49	thf(type_def_8, type, list_nat: $tType).
0.18/0.49	thf(type_def_9, type, list_a: $tType).
0.18/0.49	thf(func_def_0, type, list_nat: $tType).
0.18/0.49	thf(func_def_1, type, list_a: $tType).
0.18/0.49	thf(func_def_2, type, nat: $tType).
0.18/0.49	thf(func_def_3, type, a: $tType).
0.18/0.49	thf(func_def_4, type, minus_minus_nat: nat > nat > nat).
0.18/0.49	thf(func_def_5, type, plus_plus_nat: nat > nat > nat).
0.18/0.49	thf(func_def_6, type, if_nat: $o > nat > nat > nat).
0.18/0.49	thf(func_def_7, type, if_a: $o > a > a > a).
0.18/0.49	thf(func_def_8, type, list_asc_nat: list_nat > $o).
0.18/0.49	thf(func_def_9, type, list_desc_nat: list_nat > $o).
0.18/0.49	thf(func_def_10, type, list_strict_asc_nat: list_nat > $o).
0.18/0.49	thf(func_def_11, type, list_strict_desc_nat: list_nat > $o).
0.18/0.49	thf(func_def_12, type, listIn923761578nd_nat: list_nat > (nat > nat) > nat > nat).
0.18/0.49	thf(func_def_13, type, listIn1312259492pend_a: list_a > (nat > a) > nat > a).
0.18/0.49	thf(func_def_14, type, listIn870223551op_nat: nat > (nat > nat) > nat > nat).
0.18/0.49	thf(func_def_15, type, listIn1417627087drop_a: nat > (nat > a) > nat > a).
0.18/0.49	thf(func_def_16, type, listIn1299132951ke_nat: nat > (nat > nat) > list_nat).
0.18/0.49	thf(func_def_17, type, listIn84854903take_a: nat > (nat > a) > list_a).
0.18/0.49	thf(func_def_18, type, append_nat: list_nat > list_nat > list_nat).
0.18/0.49	thf(func_def_19, type, append_a: list_a > list_a > list_a).
0.18/0.49	thf(func_def_20, type, drop_nat: nat > list_nat > list_nat).
0.18/0.49	thf(func_def_21, type, drop_a: nat > list_a > list_a).
0.18/0.49	thf(func_def_22, type, last_nat: list_nat > nat).
0.18/0.49	thf(func_def_23, type, last_a: list_a > a).
0.18/0.49	thf(func_def_24, type, nth_nat: list_nat > nat > nat).
0.18/0.49	thf(func_def_25, type, nth_a: list_a > nat > a).
0.18/0.49	thf(func_def_26, type, size_size_list_nat: list_nat > nat).
0.18/0.49	thf(func_def_27, type, size_size_list_a: list_a > nat).
0.18/0.49	thf(func_def_28, type, ord_less_nat: nat > nat > $o).
0.18/0.49	thf(func_def_29, type, ord_less_eq_nat: nat > nat > $o).
0.18/0.49	thf(func_def_30, type, f: nat > a).
0.18/0.49	thf(func_def_31, type, n: nat).
0.18/0.49	thf(func_def_32, type, xs: list_a).
0.18/0.49	thf(func_def_47, type, sP0: nat > nat > nat > $o).
0.18/0.49	thf(func_def_48, type, sP1: nat > nat > nat > $o).
0.18/0.49	thf(func_def_49, type, sP2: nat > nat > nat > $o).
0.18/0.49	thf(func_def_50, type, sP3: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > $o).
0.18/0.49	thf(func_def_51, type, sP4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > $o).
0.18/0.49	thf(func_def_52, type, sP5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > $o).
0.18/0.49	thf(func_def_53, type, sP6: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > $o).
0.18/0.49	thf(func_def_54, type, sK7: (nat > $o) > nat > nat > nat).
0.18/0.49	thf(func_def_55, type, sK8: nat > (nat > $o) > nat > nat).
0.18/0.49	thf(func_def_56, type, sK9: nat > nat).
0.18/0.49	thf(func_def_57, type, sK10: list_a > list_a > nat).
0.18/0.49	thf(func_def_58, type, sK11: (nat > $o) > nat > nat).
0.18/0.49	thf(func_def_59, type, sK12: (nat > $o) > nat).
0.18/0.49	thf(func_def_60, type, sK13: (nat > nat) > nat).
0.18/0.49	thf(func_def_61, type, sK14: (nat > nat) > nat).
0.18/0.49	thf(func_def_62, type, sK15: (nat > nat) > nat).
0.18/0.49	thf(func_def_63, type, sK16: (nat > nat) > nat).
0.18/0.49	thf(func_def_64, type, sK17: (nat > nat) > nat).
0.18/0.49	thf(func_def_65, type, sK18: (nat > nat) > nat).
0.18/0.49	thf(func_def_66, type, sK19: nat > nat).
0.18/0.49	thf(func_def_67, type, sK20: (nat > $o) > nat).
0.18/0.49	thf(func_def_68, type, sK21: (nat > nat > $o) > nat).
0.18/0.49	thf(func_def_69, type, sK22: (nat > nat > $o) > nat).
0.18/0.49	thf(func_def_70, type, sK23: (nat > nat > $o) > nat).
0.18/0.49	thf(func_def_71, type, sK24: (nat > nat > $o) > nat).
0.18/0.49	thf(func_def_72, type, sK25: (nat > nat) > nat).
0.18/0.49	thf(func_def_73, type, sK26: (nat > nat) > nat).
0.18/0.49	thf(func_def_74, type, sK27: nat > list_a).
0.18/0.49	thf(func_def_75, type, sK28: nat > nat).
0.18/0.49	thf(func_def_76, type, sK29: nat > nat).
0.18/0.49	thf(func_def_77, type, sK30: nat > nat).
0.18/0.49	thf(func_def_78, type, sK31: list_a > list_a > list_a > list_a > list_a).
0.18/0.49	thf(func_def_79, type, sK32: (nat > nat) > nat).
0.18/0.49	thf(func_def_80, type, sK33: (nat > nat) > nat).
0.18/0.49	thf(func_def_81, type, sK34: (list_a > $o) > list_a).
0.18/0.49	thf(func_def_82, type, sK35: (nat > $o) > nat).
0.18/0.49	thf(func_def_83, type, sK36: (nat > nat) > nat).
0.18/0.49	thf(func_def_84, type, sK37: (nat > nat) > nat).
0.18/0.49	thf(func_def_85, type, sK38: nat > nat).
0.18/0.49	thf(func_def_86, type, sK39: (nat > nat) > nat).
0.18/0.49	thf(func_def_87, type, sK40: (nat > nat) > nat).
0.18/0.49	thf(func_def_88, type, sK41: nat > nat).
0.18/0.49	thf(func_def_89, type, sK42: (nat > nat) > nat).
0.18/0.49	thf(func_def_90, type, sK43: (nat > nat) > nat).
0.18/0.49	thf(func_def_91, type, sK44: (nat > nat) > nat).
0.18/0.49	thf(func_def_92, type, sK45: (nat > nat) > nat).
0.18/0.49	thf(func_def_93, type, sK46: (nat > nat) > nat).
0.18/0.49	thf(func_def_94, type, sK47: (nat > nat) > nat).
0.18/0.49	thf(func_def_95, type, sK48: nat > nat).
0.18/0.49	thf(func_def_96, type, sK49: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
0.18/0.49	thf(func_def_97, type, sK50: nat > (nat > $o) > (nat > $o) > nat).
0.18/0.49	thf(func_def_98, type, sK51: nat > (nat > $o) > (nat > $o) > nat).
0.18/0.49	thf(func_def_99, type, sK52: (nat > nat) > nat).
0.18/0.49	thf(func_def_100, type, sK53: (nat > nat) > nat).
0.18/0.49	thf(func_def_101, type, sK54: nat > nat).
0.18/0.49	thf(func_def_102, type, sK55: (nat > $o) > nat).
0.18/0.49	thf(func_def_103, type, sK56: nat > nat).
0.18/0.49	thf(func_def_104, type, sK57: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
0.18/0.49	thf(func_def_105, type, sK58: nat > (nat > $o) > (nat > $o) > nat).
0.18/0.49	thf(func_def_106, type, sK59: nat > (nat > $o) > (nat > $o) > nat).
0.18/0.49	thf(func_def_107, type, sK60: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
0.18/0.49	thf(func_def_108, type, sK61: nat > (nat > $o) > (nat > $o) > nat).
0.18/0.49	thf(func_def_109, type, sK62: nat > (nat > $o) > (nat > $o) > nat).
0.18/0.49	thf(func_def_110, type, sK63: list_a > (nat > a) > list_a > (nat > a) > list_a).
0.18/0.49	thf(func_def_111, type, sK64: (nat > $o) > nat > nat).
0.18/0.49	thf(func_def_112, type, sK65: (nat > $o) > nat > nat).
0.18/0.49	thf(func_def_113, type, sK66: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
0.18/0.49	thf(func_def_114, type, sK67: nat > (nat > $o) > (nat > $o) > nat).
0.18/0.49	thf(func_def_115, type, sK68: nat > (nat > $o) > (nat > $o) > nat).
0.18/0.49	thf(func_def_116, type, sK69: (nat > nat) > nat).
0.18/0.49	thf(func_def_117, type, sK70: (nat > nat) > nat).
0.18/0.49	thf(func_def_118, type, sK71: (nat > a > $o) > nat > list_a).
0.18/0.49	thf(func_def_119, type, sK72: (nat > a > $o) > nat > nat).
0.18/0.49	thf(func_def_120, type, sK73: nat > (nat > a > $o) > a).
0.18/0.49	thf(func_def_121, type, sK74: list_a > (nat > a > $o) > nat > nat).
0.18/0.49	thf(func_def_122, type, sK75: nat > nat).
0.18/0.49	thf(func_def_123, type, sK76: nat > nat).
0.18/0.49	thf(func_def_124, type, sK77: nat > nat).
0.18/0.49	thf(func_def_125, type, sK78: (nat > nat > $o) > nat).
0.18/0.49	thf(func_def_126, type, sK79: (nat > nat > $o) > nat).
0.18/0.49	thf(func_def_127, type, sK80: (nat > nat > $o) > nat).
0.18/0.49	thf(func_def_128, type, sK81: (nat > nat > $o) > nat).
0.18/0.49	thf(func_def_129, type, sK82: (nat > nat > $o) > nat).
0.18/0.49	thf(func_def_130, type, sK83: (nat > nat) > nat).
0.18/0.49	thf(func_def_131, type, sK84: (nat > nat) > nat).
0.18/0.49	thf(func_def_132, type, sK85: list_a > (nat > a) > list_a > (nat > a) > list_a).
0.18/0.49	thf(func_def_134, type, ph87: !>[X0: $tType]:(X0)).
0.18/0.49	thf(func_def_135, type, sK88: nat).
0.18/0.49	thf(func_def_136, type, sK89: nat).
0.18/0.49	thf(f1779,plain,(
0.18/0.49	  $false),
0.18/0.49	  inference(avatar_sat_refutation,[],[f1557,f1562,f1623,f1630,f1774])).
0.18/0.49	thf(f1774,plain,(
0.18/0.49	  spl86_2 | spl86_4),
0.18/0.49	  inference(avatar_contradiction_clause,[],[f1773])).
0.18/0.49	thf(f1773,plain,(
0.18/0.49	  $false | (spl86_2 | spl86_4)),
0.18/0.49	  inference(subsumption_resolution,[],[f1739,f1556])).
0.18/0.49	thf(f1556,plain,(
0.18/0.49	  ((ord_less_nat @ n @ (size_size_list_a @ xs)) != $true) | spl86_2),
0.18/0.49	  inference(avatar_component_clause,[],[f1554])).
0.18/0.49	thf(f1554,plain,(
0.18/0.49	  spl86_2 <=> ((ord_less_nat @ n @ (size_size_list_a @ xs)) = $true)),
0.18/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl86_2])])).
0.18/0.49	thf(f1739,plain,(
0.18/0.49	  ((ord_less_nat @ n @ (size_size_list_a @ xs)) = $true) | spl86_4),
0.18/0.49	  inference(trivial_inequality_removal,[],[f1730])).
0.18/0.49	thf(f1730,plain,(
0.18/0.49	  ((ord_less_nat @ n @ (size_size_list_a @ xs)) = $true) | ($true != $true) | spl86_4),
0.18/0.49	  inference(superposition,[],[f1571,f1352])).
0.18/0.49	thf(f1352,plain,(
0.18/0.49	  ( ! [X0 : nat,X1 : nat] : (((ord_less_eq_nat @ X0 @ X1) = $true) | ((ord_less_nat @ X1 @ X0) = $true)) )),
0.18/0.49	  inference(cnf_transformation,[],[f776])).
0.18/0.49	thf(f776,plain,(
0.18/0.49	  ! [X0 : nat,X1 : nat] : (((ord_less_eq_nat @ X0 @ X1) = $true) | ((ord_less_nat @ X1 @ X0) = $true))),
0.18/0.49	  inference(ennf_transformation,[],[f736])).
0.18/0.49	thf(f736,plain,(
0.18/0.49	  ! [X0 : nat,X1 : nat] : (((ord_less_nat @ X1 @ X0) != $true) => ((ord_less_eq_nat @ X0 @ X1) = $true))),
0.18/0.49	  inference(flattening,[],[f657])).
0.18/0.49	thf(f657,plain,(
0.18/0.49	  ! [X0 : nat,X1 : nat] : (~((ord_less_nat @ X1 @ X0) = $true) => ((ord_less_eq_nat @ X0 @ X1) = $true))),
0.18/0.49	  inference(fool_elimination,[],[f656])).
0.18/0.49	thf(f656,plain,(
0.18/0.49	  ! [X0 : nat,X1 : nat] : (~(ord_less_nat @ X1 @ X0) => (ord_less_eq_nat @ X0 @ X1))),
0.18/0.49	  inference(rectify,[],[f210])).
0.18/0.49	thf(f210,axiom,(
0.18/0.49	  ! [X3 : nat,X2 : nat] : (~(ord_less_nat @ X2 @ X3) => (ord_less_eq_nat @ X3 @ X2))),
0.18/0.49	  file('/export/starexec/sandbox2/tmp/tmp.XZaEoaESVS/E---3.1_3716.p',fact_205_leI)).
0.18/0.49	thf(f1571,plain,(
0.18/0.49	  ((ord_less_eq_nat @ (size_size_list_a @ xs) @ n) != $true) | spl86_4),
0.18/0.49	  inference(avatar_component_clause,[],[f1569])).
0.18/0.49	thf(f1569,plain,(
0.18/0.49	  spl86_4 <=> ((ord_less_eq_nat @ (size_size_list_a @ xs) @ n) = $true)),
0.18/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl86_4])])).
0.18/0.49	thf(f1630,plain,(
0.18/0.49	  ~spl86_4 | spl86_3),
0.18/0.49	  inference(avatar_split_clause,[],[f1580,f1559,f1569])).
0.18/0.49	thf(f1559,plain,(
0.18/0.49	  spl86_3 <=> ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f))),
0.18/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl86_3])])).
0.18/0.49	thf(f1580,plain,(
0.18/0.49	  ((ord_less_eq_nat @ (size_size_list_a @ xs) @ n) != $true) | spl86_3),
0.18/0.49	  inference(trivial_inequality_removal,[],[f1578])).
0.18/0.49	thf(f1578,plain,(
0.18/0.49	  ((listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f) != (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f)) | ((ord_less_eq_nat @ (size_size_list_a @ xs) @ n) != $true) | spl86_3),
0.18/0.49	  inference(superposition,[],[f1561,f1393])).
0.18/0.49	thf(f1393,plain,(
0.18/0.49	  ( ! [X2 : nat > a,X0 : nat,X1 : list_a] : (((listIn1417627087drop_a @ (minus_minus_nat @ X0 @ (size_size_list_a @ X1)) @ X2) = (listIn1417627087drop_a @ X0 @ (listIn1312259492pend_a @ X1 @ X2))) | ((ord_less_eq_nat @ (size_size_list_a @ X1) @ X0) != $true)) )),
0.18/0.49	  inference(cnf_transformation,[],[f848])).
0.18/0.49	thf(f848,plain,(
0.18/0.49	  ! [X0 : nat,X1 : list_a,X2 : nat > a] : (((listIn1417627087drop_a @ (minus_minus_nat @ X0 @ (size_size_list_a @ X1)) @ X2) = (listIn1417627087drop_a @ X0 @ (listIn1312259492pend_a @ X1 @ X2))) | ((ord_less_eq_nat @ (size_size_list_a @ X1) @ X0) != $true))),
0.18/0.49	  inference(ennf_transformation,[],[f465])).
0.18/0.49	thf(f465,plain,(
0.18/0.49	  ! [X0 : nat,X1 : list_a,X2 : nat > a] : (((ord_less_eq_nat @ (size_size_list_a @ X1) @ X0) = $true) => ((listIn1417627087drop_a @ (minus_minus_nat @ X0 @ (size_size_list_a @ X1)) @ X2) = (listIn1417627087drop_a @ X0 @ (listIn1312259492pend_a @ X1 @ X2))))),
0.18/0.49	  inference(fool_elimination,[],[f464])).
0.18/0.49	thf(f464,plain,(
0.18/0.49	  ! [X0 : nat,X1 : list_a,X2 : nat > a] : ((ord_less_eq_nat @ (size_size_list_a @ X1) @ X0) => ((listIn1417627087drop_a @ (minus_minus_nat @ X0 @ (size_size_list_a @ X1)) @ X2) = (listIn1417627087drop_a @ X0 @ (listIn1312259492pend_a @ X1 @ X2))))),
0.18/0.49	  inference(rectify,[],[f70])).
0.18/0.49	thf(f70,axiom,(
0.18/0.49	  ! [X7 : nat,X18 : list_a,X23 : nat > a] : ((ord_less_eq_nat @ (size_size_list_a @ X18) @ X7) => ((listIn1417627087drop_a @ X7 @ (listIn1312259492pend_a @ X18 @ X23)) = (listIn1417627087drop_a @ (minus_minus_nat @ X7 @ (size_size_list_a @ X18)) @ X23)))),
0.18/0.49	  file('/export/starexec/sandbox2/tmp/tmp.XZaEoaESVS/E---3.1_3716.p',fact_35_i__append__i__drop__eq2)).
0.18/0.49	thf(f1561,plain,(
0.18/0.49	  ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) != (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f)) | spl86_3),
0.18/0.49	  inference(avatar_component_clause,[],[f1559])).
0.18/0.49	thf(f1623,plain,(
0.18/0.49	  ~spl86_2 | spl86_1),
0.18/0.49	  inference(avatar_split_clause,[],[f1607,f1550,f1554])).
0.18/0.49	thf(f1550,plain,(
0.18/0.49	  spl86_1 <=> ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f))),
0.18/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl86_1])])).
0.18/0.49	thf(f1607,plain,(
0.18/0.49	  ((ord_less_nat @ n @ (size_size_list_a @ xs)) != $true) | spl86_1),
0.18/0.49	  inference(trivial_inequality_removal,[],[f1593])).
0.18/0.49	thf(f1593,plain,(
0.18/0.49	  ($true != $true) | ((ord_less_nat @ n @ (size_size_list_a @ xs)) != $true) | spl86_1),
0.18/0.49	  inference(superposition,[],[f1567,f1347])).
0.18/0.49	thf(f1347,plain,(
0.18/0.49	  ( ! [X0 : nat,X1 : nat] : (((ord_less_eq_nat @ X0 @ X1) = $true) | ((ord_less_nat @ X0 @ X1) != $true)) )),
0.18/0.49	  inference(cnf_transformation,[],[f878])).
0.18/0.49	thf(f878,plain,(
0.18/0.49	  ! [X0 : nat,X1 : nat] : (((ord_less_nat @ X0 @ X1) != $true) | ((ord_less_eq_nat @ X0 @ X1) = $true))),
0.18/0.49	  inference(ennf_transformation,[],[f291])).
0.18/0.49	thf(f291,plain,(
0.18/0.49	  ! [X0 : nat,X1 : nat] : (((ord_less_nat @ X0 @ X1) = $true) => ((ord_less_eq_nat @ X0 @ X1) = $true))),
0.18/0.49	  inference(fool_elimination,[],[f290])).
0.18/0.49	thf(f290,plain,(
0.18/0.49	  ! [X0 : nat,X1 : nat] : ((ord_less_nat @ X0 @ X1) => (ord_less_eq_nat @ X0 @ X1))),
0.18/0.49	  inference(rectify,[],[f197])).
0.18/0.49	thf(f197,axiom,(
0.18/0.49	  ! [X1 : nat,X0 : nat] : ((ord_less_nat @ X1 @ X0) => (ord_less_eq_nat @ X1 @ X0))),
0.18/0.49	  file('/export/starexec/sandbox2/tmp/tmp.XZaEoaESVS/E---3.1_3716.p',fact_177_dual__order_Ostrict__implies__order)).
0.18/0.49	thf(f1567,plain,(
0.18/0.49	  ((ord_less_eq_nat @ n @ (size_size_list_a @ xs)) != $true) | spl86_1),
0.18/0.49	  inference(trivial_inequality_removal,[],[f1566])).
0.18/0.49	thf(f1566,plain,(
0.18/0.49	  ((listIn1312259492pend_a @ (drop_a @ n @ xs) @ f) != (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f)) | ((ord_less_eq_nat @ n @ (size_size_list_a @ xs)) != $true) | spl86_1),
0.18/0.49	  inference(superposition,[],[f1552,f1407])).
0.18/0.49	thf(f1407,plain,(
0.18/0.49	  ( ! [X2 : nat > a,X0 : nat,X1 : list_a] : (((listIn1312259492pend_a @ (drop_a @ X0 @ X1) @ X2) = (listIn1417627087drop_a @ X0 @ (listIn1312259492pend_a @ X1 @ X2))) | ((ord_less_eq_nat @ X0 @ (size_size_list_a @ X1)) != $true)) )),
0.18/0.49	  inference(cnf_transformation,[],[f876])).
0.18/0.49	thf(f876,plain,(
0.18/0.49	  ! [X0 : nat,X1 : list_a,X2 : nat > a] : (((ord_less_eq_nat @ X0 @ (size_size_list_a @ X1)) != $true) | ((listIn1312259492pend_a @ (drop_a @ X0 @ X1) @ X2) = (listIn1417627087drop_a @ X0 @ (listIn1312259492pend_a @ X1 @ X2))))),
0.18/0.49	  inference(ennf_transformation,[],[f551])).
0.18/0.49	thf(f551,plain,(
0.18/0.49	  ! [X0 : nat,X1 : list_a,X2 : nat > a] : (((ord_less_eq_nat @ X0 @ (size_size_list_a @ X1)) = $true) => ((listIn1312259492pend_a @ (drop_a @ X0 @ X1) @ X2) = (listIn1417627087drop_a @ X0 @ (listIn1312259492pend_a @ X1 @ X2))))),
0.18/0.49	  inference(fool_elimination,[],[f550])).
0.18/0.49	thf(f550,plain,(
0.18/0.49	  ! [X0 : nat,X1 : list_a,X2 : nat > a] : ((ord_less_eq_nat @ X0 @ (size_size_list_a @ X1)) => ((listIn1312259492pend_a @ (drop_a @ X0 @ X1) @ X2) = (listIn1417627087drop_a @ X0 @ (listIn1312259492pend_a @ X1 @ X2))))),
0.18/0.49	  inference(rectify,[],[f178])).
0.18/0.49	thf(f178,axiom,(
0.18/0.49	  ! [X7 : nat,X18 : list_a,X23 : nat > a] : ((ord_less_eq_nat @ X7 @ (size_size_list_a @ X18)) => ((listIn1417627087drop_a @ X7 @ (listIn1312259492pend_a @ X18 @ X23)) = (listIn1312259492pend_a @ (drop_a @ X7 @ X18) @ X23)))),
0.18/0.49	  file('/export/starexec/sandbox2/tmp/tmp.XZaEoaESVS/E---3.1_3716.p',fact_33_i__append__i__drop__eq1)).
0.18/0.49	thf(f1552,plain,(
0.18/0.49	  ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) != (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f)) | spl86_1),
0.18/0.49	  inference(avatar_component_clause,[],[f1550])).
0.18/0.49	thf(f1562,plain,(
0.18/0.49	  spl86_2 | ~spl86_3),
0.18/0.49	  inference(avatar_split_clause,[],[f1308,f1559,f1554])).
0.18/0.49	thf(f1308,plain,(
0.18/0.49	  ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) != (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f)) | ((ord_less_nat @ n @ (size_size_list_a @ xs)) = $true)),
0.18/0.49	  inference(cnf_transformation,[],[f808])).
0.18/0.49	thf(f808,plain,(
0.18/0.49	  (((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) != (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f)) & ((ord_less_nat @ n @ (size_size_list_a @ xs)) != $true)) | (((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) != (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f)) & ((ord_less_nat @ n @ (size_size_list_a @ xs)) = $true))),
0.18/0.49	  inference(ennf_transformation,[],[f702])).
0.18/0.49	thf(f702,plain,(
0.18/0.49	  ~((((ord_less_nat @ n @ (size_size_list_a @ xs)) != $true) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f))) & (((ord_less_nat @ n @ (size_size_list_a @ xs)) = $true) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f))))),
0.18/0.49	  inference(flattening,[],[f257])).
0.18/0.49	thf(f257,plain,(
0.18/0.49	  ~((~((ord_less_nat @ n @ (size_size_list_a @ xs)) = $true) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f))) & (((ord_less_nat @ n @ (size_size_list_a @ xs)) = $true) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f))))),
0.18/0.49	  inference(fool_elimination,[],[f256])).
0.18/0.49	thf(f256,plain,(
0.18/0.49	  ~((~(ord_less_nat @ n @ (size_size_list_a @ xs)) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f))) & ((ord_less_nat @ n @ (size_size_list_a @ xs)) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f))))),
0.18/0.49	  inference(rectify,[],[f62])).
0.18/0.49	thf(f62,negated_conjecture,(
0.18/0.49	  ~((~(ord_less_nat @ n @ (size_size_list_a @ xs)) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f))) & ((ord_less_nat @ n @ (size_size_list_a @ xs)) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f))))),
0.18/0.49	  inference(negated_conjecture,[],[f61])).
0.18/0.49	thf(f61,conjecture,(
0.18/0.49	  (~(ord_less_nat @ n @ (size_size_list_a @ xs)) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f))) & ((ord_less_nat @ n @ (size_size_list_a @ xs)) => ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) = (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f)))),
0.18/0.49	  file('/export/starexec/sandbox2/tmp/tmp.XZaEoaESVS/E---3.1_3716.p',conj_0)).
0.18/0.49	thf(f1557,plain,(
0.18/0.49	  ~spl86_1 | ~spl86_2),
0.18/0.49	  inference(avatar_split_clause,[],[f1307,f1554,f1550])).
0.18/0.49	thf(f1307,plain,(
0.18/0.49	  ((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f)) != (listIn1312259492pend_a @ (drop_a @ n @ xs) @ f)) | ((ord_less_nat @ n @ (size_size_list_a @ xs)) != $true)),
0.18/0.49	  inference(cnf_transformation,[],[f808])).
0.18/0.49	% SZS output end Proof for E---3.1_3716
0.18/0.49	% (3830)------------------------------
0.18/0.49	% (3830)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.18/0.49	% (3830)Termination reason: Refutation
0.18/0.49	
0.18/0.49	% (3830)Memory used [KB]: 7036
0.18/0.49	% (3830)Time elapsed: 0.088 s
0.18/0.49	% (3830)Instructions burned: 122 (million)
0.18/0.49	% (3830)------------------------------
0.18/0.49	% (3830)------------------------------
0.18/0.49	% (3824)Success in time 0.101 s
0.18/0.49	EOF