TSTP Solution File: DAT133^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT133^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 19:49:47 EDT 2024
% Result : Theorem 2.54s 0.75s
% Output : Refutation 2.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : DAT133^1 : TPTP v8.2.0. Released v7.0.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 23:17:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 This is a TH1_THM_EQU_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39 % (5586)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.39 % (5581)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 theBenchmark for (2999ds/4Mi)
% 0.21/0.39 % (5585)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.21/0.39 % (5580)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.39 % (5583)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.39 % (5584)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.39 % (5582)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 theBenchmark for (2999ds/27Mi)
% 0.21/0.39 % (5587)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.39 % (5583)Instruction limit reached!
% 0.21/0.39 % (5583)------------------------------
% 0.21/0.39 % (5583)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (5583)Termination reason: Unknown
% 0.21/0.39 % (5583)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (5583)Memory used [KB]: 1407
% 0.21/0.39 % (5583)Time elapsed: 0.003 s
% 0.21/0.39 % (5583)Instructions burned: 2 (million)
% 0.21/0.39 % (5583)------------------------------
% 0.21/0.39 % (5583)------------------------------
% 0.21/0.40 % (5584)Instruction limit reached!
% 0.21/0.40 % (5584)------------------------------
% 0.21/0.40 % (5584)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (5584)Termination reason: Unknown
% 0.21/0.40 % (5584)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (5584)Memory used [KB]: 1407
% 0.21/0.40 % (5584)Time elapsed: 0.003 s
% 0.21/0.40 % (5584)Instructions burned: 2 (million)
% 0.21/0.40 % (5584)------------------------------
% 0.21/0.40 % (5584)------------------------------
% 0.21/0.40 % (5581)Instruction limit reached!
% 0.21/0.40 % (5581)------------------------------
% 0.21/0.40 % (5581)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (5581)Termination reason: Unknown
% 0.21/0.40 % (5581)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (5581)Memory used [KB]: 1407
% 0.21/0.40 % (5581)Time elapsed: 0.004 s
% 0.21/0.40 % (5581)Instructions burned: 4 (million)
% 0.21/0.40 % (5581)------------------------------
% 0.21/0.40 % (5581)------------------------------
% 0.21/0.40 % (5587)Instruction limit reached!
% 0.21/0.40 % (5587)------------------------------
% 0.21/0.40 % (5587)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (5587)Termination reason: Unknown
% 0.21/0.40 % (5587)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (5587)Memory used [KB]: 1407
% 0.21/0.40 % (5587)Time elapsed: 0.005 s
% 0.21/0.40 % (5587)Instructions burned: 4 (million)
% 0.21/0.40 % (5587)------------------------------
% 0.21/0.40 % (5587)------------------------------
% 0.21/0.41 % (5586)Instruction limit reached!
% 0.21/0.41 % (5586)------------------------------
% 0.21/0.41 % (5586)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (5586)Termination reason: Unknown
% 0.21/0.41 % (5586)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (5586)Memory used [KB]: 1791
% 0.21/0.41 % (5586)Time elapsed: 0.015 s
% 0.21/0.41 % (5586)Instructions burned: 19 (million)
% 0.21/0.41 % (5586)------------------------------
% 0.21/0.41 % (5586)------------------------------
% 0.21/0.41 % (5588)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 theBenchmark for (2999ds/37Mi)
% 0.21/0.41 % (5589)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 theBenchmark for (2999ds/15Mi)
% 0.21/0.41 % (5590)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (5582)Instruction limit reached!
% 0.21/0.41 % (5582)------------------------------
% 0.21/0.41 % (5582)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (5582)Termination reason: Unknown
% 0.21/0.41 % (5582)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (5582)Memory used [KB]: 1791
% 0.21/0.41 % (5582)Time elapsed: 0.019 s
% 0.21/0.41 % (5582)Instructions burned: 28 (million)
% 0.21/0.41 % (5582)------------------------------
% 0.21/0.41 % (5582)------------------------------
% 0.21/0.41 % (5591)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 theBenchmark for (2999ds/1041Mi)
% 0.21/0.41 % (5590)Instruction limit reached!
% 0.21/0.41 % (5590)------------------------------
% 0.21/0.41 % (5590)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (5590)Termination reason: Unknown
% 0.21/0.41 % (5590)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (5590)Memory used [KB]: 1407
% 0.21/0.41 % (5590)Time elapsed: 0.004 s
% 0.21/0.41 % (5590)Instructions burned: 3 (million)
% 0.21/0.41 % (5590)------------------------------
% 0.21/0.41 % (5590)------------------------------
% 0.21/0.42 % (5589)Instruction limit reached!
% 0.21/0.42 % (5589)------------------------------
% 0.21/0.42 % (5589)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (5589)Termination reason: Unknown
% 0.21/0.42 % (5589)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (5589)Memory used [KB]: 1663
% 0.21/0.42 % (5589)Time elapsed: 0.012 s
% 0.21/0.42 % (5589)Instructions burned: 15 (million)
% 0.21/0.42 % (5589)------------------------------
% 0.21/0.42 % (5589)------------------------------
% 0.21/0.42 % (5592)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.43 % (5593)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.43 % (5592)Instruction limit reached!
% 0.21/0.43 % (5592)------------------------------
% 0.21/0.43 % (5592)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (5592)Termination reason: Unknown
% 0.21/0.43 % (5592)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (5592)Memory used [KB]: 1407
% 0.21/0.43 % (5592)Time elapsed: 0.007 s
% 0.21/0.43 % (5592)Instructions burned: 8 (million)
% 0.21/0.43 % (5592)------------------------------
% 0.21/0.43 % (5592)------------------------------
% 0.21/0.43 % (5594)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 theBenchmark for (2999ds/3Mi)
% 0.21/0.43 % (5594)Instruction limit reached!
% 0.21/0.43 % (5594)------------------------------
% 0.21/0.43 % (5594)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (5594)Termination reason: Unknown
% 0.21/0.43 % (5594)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (5594)Memory used [KB]: 1407
% 0.21/0.43 % (5594)Time elapsed: 0.004 s
% 0.21/0.43 % (5594)Instructions burned: 3 (million)
% 0.21/0.43 % (5594)------------------------------
% 0.21/0.43 % (5594)------------------------------
% 0.21/0.43 % (5588)Instruction limit reached!
% 0.21/0.43 % (5588)------------------------------
% 0.21/0.43 % (5588)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (5588)Termination reason: Unknown
% 0.21/0.43 % (5588)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (5588)Memory used [KB]: 2174
% 0.21/0.43 % (5588)Time elapsed: 0.022 s
% 0.21/0.43 % (5588)Instructions burned: 37 (million)
% 0.21/0.43 % (5588)------------------------------
% 0.21/0.43 % (5588)------------------------------
% 0.21/0.43 % (5595)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 theBenchmark for (2999ds/3Mi)
% 0.21/0.44 % (5595)Instruction limit reached!
% 0.21/0.44 % (5595)------------------------------
% 0.21/0.44 % (5595)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (5595)Termination reason: Unknown
% 0.21/0.44 % (5595)Termination phase: shuffling
% 0.21/0.44 % (5593)Instruction limit reached!
% 0.21/0.44 % (5593)------------------------------
% 0.21/0.44 % (5593)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (5593)Termination reason: Unknown
% 0.21/0.44 % (5593)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (5593)Memory used [KB]: 1663
% 0.21/0.44 % (5593)Time elapsed: 0.013 s
% 0.21/0.44 % (5593)Instructions burned: 16 (million)
% 0.21/0.44 % (5593)------------------------------
% 0.21/0.44 % (5593)------------------------------
% 0.21/0.44
% 0.21/0.44 % (5595)Memory used [KB]: 1407
% 0.21/0.44 % (5595)Time elapsed: 0.004 s
% 0.21/0.44 % (5595)Instructions burned: 3 (million)
% 0.21/0.44 % (5595)------------------------------
% 0.21/0.44 % (5595)------------------------------
% 0.21/0.44 % (5596)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.44 % (5597)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.44 % (5598)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.45 % (5596)Instruction limit reached!
% 0.21/0.45 % (5596)------------------------------
% 0.21/0.45 % (5596)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (5596)Termination reason: Unknown
% 0.21/0.45 % (5596)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (5596)Memory used [KB]: 1535
% 0.21/0.45 % (5596)Time elapsed: 0.007 s
% 0.21/0.45 % (5596)Instructions burned: 8 (million)
% 0.21/0.45 % (5597)Instruction limit reached!
% 0.21/0.45 % (5597)------------------------------
% 0.21/0.45 % (5597)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (5597)Termination reason: Unknown
% 0.21/0.45 % (5597)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (5597)Memory used [KB]: 1407
% 0.21/0.45 % (5597)Time elapsed: 0.004 s
% 0.21/0.45 % (5597)Instructions burned: 4 (million)
% 0.21/0.45 % (5597)------------------------------
% 0.21/0.45 % (5597)------------------------------
% 0.21/0.45 % (5596)------------------------------
% 0.21/0.45 % (5596)------------------------------
% 0.21/0.45 % (5598)Instruction limit reached!
% 0.21/0.45 % (5598)------------------------------
% 0.21/0.45 % (5598)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (5598)Termination reason: Unknown
% 0.21/0.45 % (5598)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (5598)Memory used [KB]: 1407
% 0.21/0.45 % (5598)Time elapsed: 0.005 s
% 0.21/0.45 % (5598)Instructions burned: 4 (million)
% 0.21/0.45 % (5598)------------------------------
% 0.21/0.45 % (5598)------------------------------
% 0.21/0.45 % (5599)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.45 % (5600)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.46 % (5602)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.21/0.46 % (5601)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.46 % (5603)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 theBenchmark for (2999ds/21Mi)
% 0.21/0.46 % (5599)Instruction limit reached!
% 0.21/0.46 % (5599)------------------------------
% 0.21/0.46 % (5599)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (5599)Termination reason: Unknown
% 0.21/0.46 % (5599)Termination phase: shuffling
% 0.21/0.46
% 0.21/0.46 % (5599)Memory used [KB]: 1791
% 0.21/0.46 % (5599)Time elapsed: 0.014 s
% 0.21/0.46 % (5599)Instructions burned: 18 (million)
% 0.21/0.46 % (5599)------------------------------
% 0.21/0.46 % (5599)------------------------------
% 0.21/0.47 % (5601)Instruction limit reached!
% 0.21/0.47 % (5601)------------------------------
% 0.21/0.47 % (5601)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (5601)Termination reason: Unknown
% 0.21/0.47 % (5601)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (5601)Memory used [KB]: 1407
% 0.21/0.47 % (5601)Time elapsed: 0.006 s
% 0.21/0.47 % (5601)Instructions burned: 7 (million)
% 0.21/0.47 % (5601)------------------------------
% 0.21/0.47 % (5601)------------------------------
% 0.21/0.48 % (5603)Instruction limit reached!
% 0.21/0.48 % (5603)------------------------------
% 0.21/0.48 % (5603)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (5603)Termination reason: Unknown
% 0.21/0.48 % (5603)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (5603)Memory used [KB]: 1791
% 0.21/0.48 % (5603)Time elapsed: 0.016 s
% 0.21/0.48 % (5603)Instructions burned: 21 (million)
% 0.21/0.48 % (5603)------------------------------
% 0.21/0.48 % (5603)------------------------------
% 0.21/0.48 % (5604)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.21/0.48 % (5604)Instruction limit reached!
% 0.21/0.48 % (5604)------------------------------
% 0.21/0.48 % (5604)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (5604)Termination reason: Unknown
% 0.21/0.48 % (5604)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (5604)Memory used [KB]: 1407
% 0.21/0.48 % (5604)Time elapsed: 0.005 s
% 0.21/0.48 % (5604)Instructions burned: 5 (million)
% 0.21/0.48 % (5604)------------------------------
% 0.21/0.48 % (5604)------------------------------
% 0.21/0.48 % (5605)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.21/0.49 % (5605)Instruction limit reached!
% 0.21/0.49 % (5605)------------------------------
% 0.21/0.49 % (5605)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (5605)Termination reason: Unknown
% 0.21/0.49 % (5605)Termination phase: shuffling
% 0.21/0.49
% 0.21/0.49 % (5605)Memory used [KB]: 1407
% 0.21/0.49 % (5605)Time elapsed: 0.006 s
% 0.21/0.49 % (5605)Instructions burned: 7 (million)
% 0.21/0.49 % (5605)------------------------------
% 0.21/0.49 % (5605)------------------------------
% 0.21/0.49 % (5606)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.49 % (5580)Instruction limit reached!
% 0.21/0.49 % (5580)------------------------------
% 0.21/0.49 % (5580)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (5580)Termination reason: Unknown
% 0.21/0.49 % (5580)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (5580)Memory used [KB]: 7164
% 0.21/0.49 % (5580)Time elapsed: 0.103 s
% 0.21/0.49 % (5580)Instructions burned: 183 (million)
% 0.21/0.49 % (5580)------------------------------
% 0.21/0.49 % (5580)------------------------------
% 0.21/0.50 % (5607)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.21/0.50 % (5608)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.21/0.52 % (5608)Instruction limit reached!
% 0.21/0.52 % (5608)------------------------------
% 0.21/0.52 % (5608)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52 % (5608)Termination reason: Unknown
% 0.21/0.52 % (5608)Termination phase: shuffling
% 0.21/0.52
% 0.21/0.52 % (5608)Memory used [KB]: 1791
% 0.21/0.52 % (5608)Time elapsed: 0.018 s
% 0.21/0.52 % (5608)Instructions burned: 20 (million)
% 0.21/0.52 % (5608)------------------------------
% 0.21/0.52 % (5608)------------------------------
% 1.23/0.52 % (5612)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 1.23/0.53 % (5619)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 1.39/0.54 % (5619)Instruction limit reached!
% 1.39/0.54 % (5619)------------------------------
% 1.39/0.54 % (5619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.54 % (5619)Termination reason: Unknown
% 1.39/0.54 % (5619)Termination phase: shuffling
% 1.39/0.54
% 1.39/0.54 % (5619)Memory used [KB]: 1791
% 1.39/0.54 % (5619)Time elapsed: 0.011 s
% 1.39/0.54 % (5619)Instructions burned: 17 (million)
% 1.39/0.54 % (5619)------------------------------
% 1.39/0.54 % (5619)------------------------------
% 1.39/0.55 % (5624)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.39/0.55 % (5624)Instruction limit reached!
% 1.39/0.55 % (5624)------------------------------
% 1.39/0.55 % (5624)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.55 % (5624)Termination reason: Unknown
% 1.39/0.55 % (5624)Termination phase: shuffling
% 1.39/0.55
% 1.39/0.55 % (5624)Memory used [KB]: 1407
% 1.39/0.55 % (5624)Time elapsed: 0.003 s
% 1.39/0.55 % (5624)Instructions burned: 4 (million)
% 1.39/0.55 % (5624)------------------------------
% 1.39/0.55 % (5624)------------------------------
% 1.39/0.56 % (5585)Instruction limit reached!
% 1.39/0.56 % (5585)------------------------------
% 1.39/0.56 % (5585)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.56 % (5585)Termination reason: Unknown
% 1.39/0.56 % (5585)Termination phase: Saturation
% 1.39/0.56
% 1.39/0.56 % (5585)Memory used [KB]: 7291
% 1.39/0.56 % (5585)Time elapsed: 0.152 s
% 1.39/0.56 % (5585)Instructions burned: 275 (million)
% 1.39/0.56 % (5585)------------------------------
% 1.39/0.56 % (5585)------------------------------
% 1.39/0.56 % (5627)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.39/0.56 % (5629)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 1.39/0.57 % (5627)Instruction limit reached!
% 1.39/0.57 % (5627)------------------------------
% 1.39/0.57 % (5627)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.57 % (5627)Termination reason: Unknown
% 1.39/0.57 % (5627)Termination phase: Property scanning
% 1.39/0.57
% 1.39/0.57 % (5627)Memory used [KB]: 1791
% 1.39/0.57 % (5627)Time elapsed: 0.012 s
% 1.39/0.57 % (5627)Instructions burned: 31 (million)
% 1.39/0.57 % (5627)------------------------------
% 1.39/0.57 % (5627)------------------------------
% 1.39/0.58 % (5637)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 1.39/0.60 % (5629)Instruction limit reached!
% 1.39/0.60 % (5629)------------------------------
% 1.39/0.60 % (5629)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.60 % (5629)Termination reason: Unknown
% 1.39/0.60 % (5629)Termination phase: Saturation
% 1.39/0.60
% 1.39/0.60 % (5629)Memory used [KB]: 6908
% 1.39/0.60 % (5629)Time elapsed: 0.041 s
% 1.39/0.60 % (5629)Instructions burned: 127 (million)
% 1.39/0.60 % (5629)------------------------------
% 1.39/0.60 % (5629)------------------------------
% 1.39/0.61 % (5637)Instruction limit reached!
% 1.39/0.61 % (5637)------------------------------
% 1.39/0.61 % (5637)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.61 % (5637)Termination reason: Unknown
% 1.39/0.61 % (5637)Termination phase: Saturation
% 1.39/0.61
% 1.39/0.61 % (5637)Memory used [KB]: 6780
% 1.39/0.61 % (5637)Time elapsed: 0.031 s
% 1.39/0.61 % (5637)Instructions burned: 102 (million)
% 1.39/0.61 % (5637)------------------------------
% 1.39/0.61 % (5637)------------------------------
% 1.39/0.61 % (5651)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 1.39/0.61 % (5651)Instruction limit reached!
% 1.39/0.61 % (5651)------------------------------
% 1.39/0.61 % (5651)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.61 % (5651)Termination reason: Unknown
% 1.39/0.61 % (5651)Termination phase: shuffling
% 1.39/0.61
% 1.39/0.61 % (5651)Memory used [KB]: 1407
% 1.39/0.61 % (5651)Time elapsed: 0.002 s
% 1.39/0.61 % (5651)Instructions burned: 3 (million)
% 1.39/0.61 % (5651)------------------------------
% 1.39/0.61 % (5651)------------------------------
% 1.39/0.62 % (5655)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 1.39/0.62 % (5656)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 1.39/0.63 % (5655)Instruction limit reached!
% 1.39/0.63 % (5655)------------------------------
% 1.39/0.63 % (5655)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.63 % (5655)Termination reason: Unknown
% 1.39/0.63 % (5655)Termination phase: Property scanning
% 1.39/0.63
% 1.39/0.63 % (5655)Memory used [KB]: 1918
% 1.39/0.63 % (5655)Time elapsed: 0.009 s
% 1.39/0.63 % (5655)Instructions burned: 21 (million)
% 1.39/0.63 % (5655)------------------------------
% 1.39/0.63 % (5655)------------------------------
% 1.39/0.64 % (5666)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 2.15/0.64 % (5606)Instruction limit reached!
% 2.15/0.64 % (5606)------------------------------
% 2.15/0.64 % (5606)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.64 % (5606)Termination reason: Unknown
% 2.15/0.64 % (5606)Termination phase: Saturation
% 2.15/0.64
% 2.15/0.64 % (5606)Memory used [KB]: 8315
% 2.15/0.64 % (5606)Time elapsed: 0.156 s
% 2.15/0.64 % (5606)Instructions burned: 378 (million)
% 2.15/0.65 % (5606)------------------------------
% 2.15/0.65 % (5606)------------------------------
% 2.15/0.65 % (5656)Instruction limit reached!
% 2.15/0.65 % (5656)------------------------------
% 2.15/0.65 % (5656)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.65 % (5656)Termination reason: Unknown
% 2.15/0.65 % (5656)Termination phase: Saturation
% 2.15/0.65
% 2.15/0.65 % (5656)Memory used [KB]: 2174
% 2.15/0.65 % (5656)Time elapsed: 0.028 s
% 2.15/0.65 % (5656)Instructions burned: 86 (million)
% 2.15/0.65 % (5656)------------------------------
% 2.15/0.65 % (5656)------------------------------
% 2.15/0.65 % (5672)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.15/0.66 % (5674)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 2.15/0.67 % (5672)Instruction limit reached!
% 2.15/0.67 % (5672)------------------------------
% 2.15/0.67 % (5672)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.67 % (5672)Termination reason: Unknown
% 2.15/0.67 % (5672)Termination phase: Property scanning
% 2.15/0.67
% 2.15/0.67 % (5672)Memory used [KB]: 2174
% 2.15/0.67 % (5672)Time elapsed: 0.014 s
% 2.15/0.67 % (5672)Instructions burned: 41 (million)
% 2.15/0.67 % (5672)------------------------------
% 2.15/0.67 % (5672)------------------------------
% 2.15/0.67 % (5666)Instruction limit reached!
% 2.15/0.67 % (5666)------------------------------
% 2.15/0.67 % (5666)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.67 % (5666)Termination reason: Unknown
% 2.15/0.67 % (5666)Termination phase: Saturation
% 2.15/0.67
% 2.15/0.67 % (5666)Memory used [KB]: 6908
% 2.15/0.67 % (5666)Time elapsed: 0.036 s
% 2.15/0.67 % (5666)Instructions burned: 109 (million)
% 2.15/0.67 % (5666)------------------------------
% 2.15/0.67 % (5666)------------------------------
% 2.15/0.68 % (5683)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2996ds/46Mi)
% 2.15/0.68 % (5686)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2996ds/98Mi)
% 2.54/0.69 % (5683)Instruction limit reached!
% 2.54/0.69 % (5683)------------------------------
% 2.54/0.69 % (5683)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.54/0.69 % (5683)Termination reason: Unknown
% 2.54/0.69 % (5683)Termination phase: Preprocessing 3
% 2.54/0.69
% 2.54/0.69 % (5683)Memory used [KB]: 2046
% 2.54/0.69 % (5683)Time elapsed: 0.017 s
% 2.54/0.69 % (5683)Instructions burned: 46 (million)
% 2.54/0.69 % (5683)------------------------------
% 2.54/0.69 % (5683)------------------------------
% 2.54/0.70 % (5694)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2996ds/507Mi)
% 2.54/0.71 % (5686)Instruction limit reached!
% 2.54/0.71 % (5686)------------------------------
% 2.54/0.71 % (5686)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.54/0.71 % (5686)Termination reason: Unknown
% 2.54/0.71 % (5686)Termination phase: Saturation
% 2.54/0.71
% 2.54/0.71 % (5686)Memory used [KB]: 2302
% 2.54/0.71 % (5686)Time elapsed: 0.030 s
% 2.54/0.71 % (5686)Instructions burned: 100 (million)
% 2.54/0.71 % (5686)------------------------------
% 2.54/0.71 % (5686)------------------------------
% 2.54/0.72 % (5707)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2996ds/149Mi)
% 2.54/0.75 % (5694)First to succeed.
% 2.54/0.75 % (5694)Refutation found. Thanks to Tanya!
% 2.54/0.75 % SZS status Theorem for theBenchmark
% 2.54/0.75 % SZS output start Proof for theBenchmark
% 2.54/0.75 thf(type_def_5, type, itself: ($tType) > $tType).
% 2.54/0.75 thf(type_def_7, type, nat: $tType).
% 2.54/0.75 thf(type_def_8, type, coindu1593790203_llist: ($tType) > $tType).
% 2.54/0.75 thf(type_def_9, type, extended_enat: $tType).
% 2.54/0.75 thf(type_def_10, type, set: ($tType) > $tType).
% 2.54/0.75 thf(type_def_11, type, a: $tType).
% 2.54/0.75 thf(func_def_0, type, coindu1593790203_llist: ($tType) > $tType).
% 2.54/0.75 thf(func_def_1, type, extended_enat: $tType).
% 2.54/0.75 thf(func_def_2, type, set: ($tType) > $tType).
% 2.54/0.75 thf(func_def_3, type, nat: $tType).
% 2.54/0.75 thf(func_def_4, type, itself: ($tType) > $tType).
% 2.54/0.75 thf(func_def_5, type, a: $tType).
% 2.54/0.75 thf(func_def_6, type, type: !>[X0: $tType]:(itself @ X0 > $o)).
% 2.54/0.75 thf(func_def_7, type, one: !>[X0: $tType]:(itself @ X0 > $o)).
% 2.54/0.75 thf(func_def_8, type, neg_numeral: !>[X0: $tType]:(itself @ X0 > $o)).
% 2.54/0.75 thf(func_def_9, type, group_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 2.54/0.75 thf(func_def_10, type, lattice: !>[X0: $tType]:(itself @ X0 > $o)).
% 2.54/0.75 thf(func_def_11, type, finite_finite: !>[X0: $tType]:(itself @ X0 > $o)).
% 2.54/0.75 thf(func_def_12, type, semigroup_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 2.54/0.75 thf(func_def_13, type, linordered_idom: !>[X0: $tType]:(itself @ X0 > $o)).
% 2.54/0.75 thf(func_def_14, type, ab_semigroup_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 2.54/0.75 thf(func_def_15, type, semilattice_inf: !>[X0: $tType]:(itself @ X0 > $o)).
% 2.54/0.75 thf(func_def_16, type, linordered_semidom: !>[X0: $tType]:(itself @ X0 > $o)).
% 2.54/0.75 thf(func_def_17, type, cancel_semigroup_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 2.54/0.75 thf(func_def_18, type, ordere779506340up_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 2.54/0.75 thf(func_def_19, type, ordere236663937imp_le: !>[X0: $tType]:(itself @ X0 > $o)).
% 2.54/0.75 thf(func_def_20, type, ordere223160158up_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 2.54/0.75 thf(func_def_21, type, strict2144017051up_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 2.54/0.75 thf(func_def_22, type, coindu493225792length: !>[X0: $tType]:(nat > coindu1593790203_llist @ X0 > extended_enat)).
% 2.54/0.75 thf(func_def_23, type, coindu191418589_ldrop: !>[X0: $tType]:(extended_enat > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0)).
% 2.54/0.75 thf(func_def_24, type, coindu438612276pWhile: !>[X0: $tType]:((X0 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0)).
% 2.54/0.75 thf(func_def_25, type, coindu531130065ldropn: !>[X0: $tType]:(nat > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0)).
% 2.54/0.75 thf(func_def_26, type, coindu1889960678filter: !>[X0: $tType]:((X0 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0)).
% 2.54/0.75 thf(func_def_27, type, coindu1213758845finite: !>[X0: $tType]:(coindu1593790203_llist @ X0 > $o)).
% 2.54/0.75 thf(func_def_28, type, coindu2000965700_llast: !>[X0: $tType]:(coindu1593790203_llist @ X0 > X0)).
% 2.54/0.75 thf(func_def_29, type, coindu1018505716length: !>[X0: $tType]:(coindu1593790203_llist @ X0 > extended_enat)).
% 2.54/0.75 thf(func_def_30, type, coindu1046438764le_lhd: !>[X0: $tType]:(coindu1593790203_llist @ X0 > X0)).
% 2.54/0.75 thf(func_def_31, type, coindu335574135_lnull: !>[X0: $tType]:(coindu1593790203_llist @ X0 > $o)).
% 2.54/0.75 thf(func_def_32, type, coindu1112613586e_lset: !>[X0: $tType]:(coindu1593790203_llist @ X0 > set @ X0)).
% 2.54/0.75 thf(func_def_33, type, coindu1047225960le_ltl: !>[X0: $tType]:(coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0)).
% 2.54/0.75 thf(func_def_34, type, coindu749330388e_lnth: !>[X0: $tType]:(coindu1593790203_llist @ X0 > nat > X0)).
% 2.54/0.75 thf(func_def_35, type, coindu721411036eWhile: !>[X0: $tType]:((X0 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0)).
% 2.54/0.75 thf(func_def_36, type, coindu1491768222unfold: !>[X0: $tType]:((X0 > $o) > (X0 > X0) > X0 > extended_enat)).
% 2.54/0.75 thf(func_def_37, type, extended_enat2: nat > extended_enat).
% 2.54/0.75 thf(func_def_38, type, extended_rec_enat: !>[X0: $tType]:((nat > X0) > X0 > extended_enat > X0)).
% 2.54/0.75 thf(func_def_39, type, extended_the_enat: extended_enat > nat).
% 2.54/0.75 thf(func_def_40, type, finite_finite2: !>[X0: $tType]:(set @ X0 > $o)).
% 2.54/0.75 thf(func_def_41, type, one_one: !>[X0: $tType]:(X0)).
% 2.54/0.75 thf(func_def_42, type, plus_plus: !>[X0: $tType]:(X0 > X0 > X0)).
% 2.54/0.75 thf(func_def_43, type, inf_inf: !>[X0: $tType]:(X0 > X0 > X0)).
% 2.54/0.75 thf(func_def_44, type, ord_less: !>[X0: $tType]:(X0 > X0 > $o)).
% 2.54/0.75 thf(func_def_45, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 2.54/0.75 thf(func_def_46, type, type2: !>[X0: $tType]:(itself @ X0)).
% 2.54/0.75 thf(func_def_47, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 2.54/0.75 thf(func_def_48, type, image: !>[X0: $tType, X1: $tType]:((X0 > X1) > set @ X0 > set @ X1)).
% 2.54/0.75 thf(func_def_49, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 2.54/0.75 thf(func_def_50, type, p: a > $o).
% 2.54/0.75 thf(func_def_51, type, n: nat).
% 2.54/0.75 thf(func_def_52, type, xs: coindu1593790203_llist @ a).
% 2.54/0.75 thf(func_def_53, type, xsa: coindu1593790203_llist @ a).
% 2.54/0.75 thf(func_def_68, type, sK0: !>[X0: $tType]:((X0 > $o) > X0)).
% 2.54/0.75 thf(func_def_69, type, sK1: !>[X0: $tType]:((X0 > $o) > X0)).
% 2.54/0.75 thf(func_def_70, type, sK2: nat > extended_enat > nat).
% 2.54/0.75 thf(func_def_71, type, sK3: (nat > $o) > nat).
% 2.54/0.75 thf(func_def_72, type, sK4: !>[X0: $tType, X1: $tType]:((X1 > X0 > $o) > set @ X0 > set @ X1 > X0)).
% 2.54/0.75 thf(func_def_73, type, sK5: !>[X0: $tType, X1: $tType]:((X1 > X0 > $o) > set @ X0 > set @ X1 > X1)).
% 2.54/0.75 thf(func_def_74, type, sK6: !>[X0: $tType]:((X0 > $o) > (X0 > $o) > coindu1593790203_llist @ X0 > X0)).
% 2.54/0.75 thf(func_def_75, type, sK7: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0)).
% 2.54/0.75 thf(func_def_76, type, sK8: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0)).
% 2.54/0.75 thf(func_def_77, type, sK9: !>[X0: $tType, X1: $tType]:((X0 > $o) > set @ X1 > (X1 > X0) > X1)).
% 2.54/0.75 thf(func_def_78, type, sK10: (extended_enat > $o) > extended_enat).
% 2.54/0.75 thf(func_def_79, type, sK11: !>[X0: $tType, X1: $tType]:((X1 > X0) > set @ X1 > X1)).
% 2.54/0.75 thf(func_def_80, type, sK12: !>[X0: $tType]:((X0 > nat) > (X0 > $o) > X0)).
% 2.54/0.75 thf(func_def_81, type, sK13: !>[X0: $tType]:((X0 > X0 > X0) > X0)).
% 2.54/0.75 thf(func_def_82, type, sK14: !>[X0: $tType]:((X0 > X0 > X0) > X0)).
% 2.54/0.75 thf(func_def_83, type, sK15: !>[X0: $tType]:((X0 > X0 > X0) > X0)).
% 2.54/0.75 thf(func_def_84, type, sK16: !>[X0: $tType]:((X0 > X0 > X0) > X0)).
% 2.54/0.75 thf(func_def_85, type, sK17: !>[X0: $tType]:((X0 > X0 > X0) > X0)).
% 2.54/0.75 thf(func_def_86, type, sK18: !>[X0: $tType]:((X0 > X0 > X0) > X0)).
% 2.54/0.75 thf(func_def_87, type, sK19: !>[X0: $tType]:((X0 > X0 > X0) > X0)).
% 2.54/0.75 thf(func_def_88, type, sK20: (nat > $o) > nat).
% 2.54/0.75 thf(func_def_89, type, sK21: extended_enat > extended_enat > nat).
% 2.54/0.75 thf(func_def_90, type, sK22: !>[X0: $tType]:((X0 > $o) > (X0 > $o) > X0)).
% 2.54/0.75 thf(func_def_91, type, sK23: !>[X0: $tType, X1: $tType]:((X0 > $o) > set @ X1 > (X1 > X0) > X0)).
% 2.54/0.75 thf(func_def_92, type, sK24: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 2.54/0.75 thf(func_def_93, type, sK25: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 2.54/0.75 thf(func_def_94, type, sK26: !>[X0: $tType]:((X0 > $o) > (X0 > $o) > coindu1593790203_llist @ X0 > X0)).
% 2.54/0.75 thf(func_def_95, type, sK27: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0)).
% 2.54/0.75 thf(func_def_96, type, sK28: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0)).
% 2.54/0.75 thf(func_def_97, type, sK29: !>[X0: $tType]:((X0 > $o) > X0)).
% 2.54/0.75 thf(func_def_98, type, sK30: nat).
% 2.54/0.75 thf(func_def_99, type, sK31: extended_enat > nat).
% 2.54/0.75 thf(func_def_100, type, sK32: !>[X0: $tType]:(coindu1593790203_llist @ X0 > nat)).
% 2.54/0.75 thf(func_def_101, type, sK33: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0)).
% 2.54/0.75 thf(func_def_102, type, sK34: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0)).
% 2.54/0.75 thf(func_def_103, type, sK35: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > set @ X1 > X1)).
% 2.54/0.75 thf(func_def_104, type, sK36: nat > set @ nat > nat).
% 2.54/0.75 thf(func_def_105, type, sK37: a).
% 2.54/0.75 thf(func_def_106, type, sK38: !>[X0: $tType]:((set @ X0 > $o) > set @ X0)).
% 2.54/0.75 thf(func_def_107, type, sK39: !>[X0: $tType, X1: $tType]:((X1 > X0 > $o) > set @ X1 > X1 > X0)).
% 2.54/0.75 thf(func_def_108, type, sK40: !>[X0: $tType, X1: $tType]:((X1 > X0 > $o) > set @ X1 > X1)).
% 2.54/0.75 thf(func_def_109, type, sK41: !>[X0: $tType]:((X0 > $o) > coindu1593790203_llist @ X0 > X0)).
% 2.54/0.75 thf(func_def_110, type, sK42: set @ nat > nat > nat).
% 2.54/0.75 thf(func_def_111, type, sK43: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0)).
% 2.54/0.75 thf(func_def_112, type, sK44: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0)).
% 2.54/0.75 thf(func_def_113, type, sK45: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > $o) > X0)).
% 2.54/0.75 thf(func_def_114, type, sK46: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 2.54/0.75 thf(func_def_115, type, sK47: !>[X0: $tType]:((X0 > $o) > (X0 > $o) > coindu1593790203_llist @ X0 > X0)).
% 2.54/0.75 thf(func_def_116, type, sK48: !>[X0: $tType]:(((nat > X0 > X0) > nat > nat > X0 > $o) > nat > X0 > X0)).
% 2.54/0.75 thf(func_def_117, type, sK49: !>[X0: $tType]:(((nat > X0 > X0) > nat > nat > X0 > $o) > nat)).
% 2.54/0.75 thf(func_def_118, type, sK50: !>[X0: $tType]:(((nat > X0 > X0) > nat > nat > X0 > $o) > nat)).
% 2.54/0.75 thf(func_def_119, type, sK51: !>[X0: $tType]:(((nat > X0 > X0) > nat > nat > X0 > $o) > X0)).
% 2.54/0.75 thf(func_def_120, type, sK52: !>[X0: $tType]:(nat > (X0 > extended_enat) > X0)).
% 2.54/0.75 thf(func_def_121, type, sK53: !>[X0: $tType]:((X0 > extended_enat) > X0)).
% 2.54/0.75 thf(func_def_122, type, sK54: !>[X0: $tType, X1: $tType]:(set @ X1 > (X1 > X0) > X0 > X1)).
% 2.54/0.75 thf(func_def_124, type, ph56: !>[X0: $tType]:(X0)).
% 2.54/0.75 thf(f1768,plain,(
% 2.54/0.75 $false),
% 2.54/0.75 inference(subsumption_resolution,[],[f1766,f1718])).
% 2.54/0.75 thf(f1718,plain,(
% 2.54/0.75 ($true = (?? @ (nat > nat) @ (^[Y0 : nat > nat]: (?? @ nat @ (^[Y1 : nat]: ((inf_inf @ set @ nat @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y2) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y3 : a]: (~ (p @ Y3))) @ xsa)) @ xsa)))))) @ (collect @ nat @ (^[Y2 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y3 : a]: (~ (p @ Y3))) @ xsa)) @ xsa)) @ Y2))))) = (image @ nat @ nat @ Y0 @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ nat @ Y2 @ Y1))))))))))),
% 2.54/0.75 inference(beta_eta_normalization,[],[f1640])).
% 2.54/0.75 thf(f1640,plain,(
% 2.54/0.75 ($true = ((^[Y0 : set @ nat]: (?? @ (nat > nat) @ (^[Y1 : nat > nat]: (?? @ nat @ (^[Y2 : nat]: (Y0 = (image @ nat @ nat @ Y1 @ (collect @ nat @ (^[Y3 : nat]: (ord_less @ nat @ Y3 @ Y2)))))))))) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ ((^[Y1 : a > $o]: ((^[Y2 : coindu1593790203_llist @ a]: (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ Y1 @ Y2)) @ Y2)))) @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ ((^[Y1 : a > $o]: ((^[Y2 : coindu1593790203_llist @ a]: (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ Y1 @ Y2)) @ Y2)))) @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ Y0)))))))),
% 2.54/0.75 inference(definition_unfolding,[],[f1506,f1378,f1318,f1548,f1548])).
% 2.54/0.75 thf(f1548,plain,(
% 2.54/0.75 ( ! [X0 : $tType] : ((coindu438612276pWhile @ X0 = (^[Y0 : X0 > $o]: ((^[Y1 : coindu1593790203_llist @ X0]: (coindu191418589_ldrop @ X0 @ (coindu1491768222unfold @ coindu1593790203_llist @ X0 @ coindu335574135_lnull @ X0 @ coindu1047225960le_ltl @ X0 @ (coindu721411036eWhile @ X0 @ Y0 @ Y1)) @ Y1)))))) )),
% 2.54/0.75 inference(definition_unfolding,[],[f1361,f1318])).
% 2.54/0.75 thf(f1361,plain,(
% 2.54/0.75 ( ! [X0 : $tType] : ((coindu438612276pWhile @ X0 = (^[Y0 : X0 > $o]: ((^[Y1 : coindu1593790203_llist @ X0]: (coindu191418589_ldrop @ X0 @ (coindu1018505716length @ X0 @ (coindu721411036eWhile @ X0 @ Y0 @ Y1)) @ Y1)))))) )),
% 2.54/0.75 inference(cnf_transformation,[],[f576])).
% 2.54/0.75 thf(f576,plain,(
% 2.54/0.75 ! [X0 : $tType] : (coindu438612276pWhile @ X0 = (^[Y0 : X0 > $o]: ((^[Y1 : coindu1593790203_llist @ X0]: (coindu191418589_ldrop @ X0 @ (coindu1018505716length @ X0 @ (coindu721411036eWhile @ X0 @ Y0 @ Y1)) @ Y1)))))),
% 2.54/0.75 inference(fool_elimination,[],[f575])).
% 2.54/0.75 thf(f575,plain,(
% 2.54/0.75 ! [X0 : $tType] : (coindu438612276pWhile @ X0 = (^[X1 : X0 > $o, X2 : coindu1593790203_llist @ X0] : (coindu191418589_ldrop @ X0 @ (coindu1018505716length @ X0 @ (coindu721411036eWhile @ X0 @ X1 @ X2)) @ X2)))),
% 2.54/0.75 inference(rectify,[],[f201])).
% 2.54/0.75 thf(f201,axiom,(
% 2.54/0.75 ! [X0 : $tType] : (coindu438612276pWhile @ X0 = (^[X79 : X0 > $o, X35 : coindu1593790203_llist @ X0] : (coindu191418589_ldrop @ X0 @ (coindu1018505716length @ X0 @ (coindu721411036eWhile @ X0 @ X79 @ X35)) @ X35)))),
% 2.54/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_200_ldropWhile__eq__ldrop)).
% 2.54/0.75 thf(f1318,plain,(
% 2.54/0.75 ( ! [X0 : $tType] : ((coindu1018505716length @ X0 = (coindu1491768222unfold @ coindu1593790203_llist @ X0 @ coindu335574135_lnull @ X0 @ coindu1047225960le_ltl @ X0))) )),
% 2.54/0.75 inference(cnf_transformation,[],[f843])).
% 2.54/0.75 thf(f843,plain,(
% 2.54/0.75 ! [X0 : $tType] : (coindu1018505716length @ X0 = (coindu1491768222unfold @ coindu1593790203_llist @ X0 @ coindu335574135_lnull @ X0 @ coindu1047225960le_ltl @ X0))),
% 2.54/0.75 inference(fool_elimination,[],[f230])).
% 2.54/0.75 thf(f230,axiom,(
% 2.54/0.75 ! [X0 : $tType] : (coindu1018505716length @ X0 = (coindu1491768222unfold @ coindu1593790203_llist @ X0 @ coindu335574135_lnull @ X0 @ coindu1047225960le_ltl @ X0))),
% 2.54/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_229_llength__def)).
% 2.54/0.75 thf(f1378,plain,(
% 2.54/0.75 ( ! [X0 : $tType] : ((finite_finite2 @ X0 = (^[Y0 : set @ X0]: (?? @ (nat > X0) @ (^[Y1 : nat > X0]: (?? @ nat @ (^[Y2 : nat]: (Y0 = (image @ nat @ X0 @ Y1 @ (collect @ nat @ (^[Y3 : nat]: (ord_less @ nat @ Y3 @ Y2)))))))))))) )),
% 2.54/0.75 inference(cnf_transformation,[],[f650])).
% 2.54/0.75 thf(f650,plain,(
% 2.54/0.75 ! [X0 : $tType] : (finite_finite2 @ X0 = (^[Y0 : set @ X0]: (?? @ (nat > X0) @ (^[Y1 : nat > X0]: (?? @ nat @ (^[Y2 : nat]: (Y0 = (image @ nat @ X0 @ Y1 @ (collect @ nat @ (^[Y3 : nat]: (ord_less @ nat @ Y3 @ Y2)))))))))))),
% 2.54/0.75 inference(fool_elimination,[],[f649])).
% 2.54/0.75 thf(f649,plain,(
% 2.54/0.75 ! [X0 : $tType] : ((^[X1 : set @ X0] : (? [X2 : nat,X3 : nat > X0] : (X1 = (image @ nat @ X0 @ X3 @ (collect @ nat @ (^[X4 : nat] : (ord_less @ nat @ X4 @ X2))))))) = finite_finite2 @ X0)),
% 2.54/0.75 inference(rectify,[],[f57])).
% 2.54/0.75 thf(f57,axiom,(
% 2.54/0.75 ! [X0 : $tType] : ((^[X22 : set @ X0] : (? [X3 : nat,X33 : nat > X0] : (X22 = (image @ nat @ X0 @ X33 @ (collect @ nat @ (^[X34 : nat] : (ord_less @ nat @ X34 @ X3))))))) = finite_finite2 @ X0)),
% 2.54/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_finite__conv__nat__seg__image)).
% 2.54/0.75 thf(f1506,plain,(
% 2.54/0.75 ($true = (finite_finite2 @ nat @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ Y0)))))))),
% 2.54/0.75 inference(cnf_transformation,[],[f381])).
% 2.54/0.75 thf(f381,plain,(
% 2.54/0.75 ($true = (finite_finite2 @ nat @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ Y0)))))))),
% 2.54/0.75 inference(fool_elimination,[],[f380])).
% 2.54/0.75 thf(f380,plain,(
% 2.54/0.75 (finite_finite2 @ nat @ (inf_inf @ set @ nat @ (collect @ nat @ (^[X0 : nat] : (ord_less @ extended_enat @ (extended_enat2 @ X0) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X1 : a] : (~(p @ X1))) @ xsa)))))) @ (collect @ nat @ (^[X2 : nat] : (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X3 : a] : (~(p @ X3))) @ xsa)) @ X2))))))),
% 2.54/0.75 inference(rectify,[],[f1])).
% 2.54/0.75 thf(f1,axiom,(
% 2.54/0.75 (finite_finite2 @ nat @ (inf_inf @ set @ nat @ (collect @ nat @ (^[X3 : nat] : (ord_less @ extended_enat @ (extended_enat2 @ X3) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X4 : a] : (~(p @ X4))) @ xsa)))))) @ (collect @ nat @ (^[X3 : nat] : (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X4 : a] : (~(p @ X4))) @ xsa)) @ X3))))))),
% 2.54/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062finite_A_I_123n_O_Aenat_An_A_060_Allength_A_Iltl_A_IldropWhile_A_I_092_060lambda_062x_O_A_092_060not_062_AP_Ax_J_Axs_J_J_125_A_092_060inter_062_A_123n_O_AP_A_Ilnth_A_Iltl_A_IldropWhile_A_I_092_060lambda_062x_O_A_092_060not_062_AP_Ax_J_Axs_J_J_An_J_125_J_092_060close_062)).
% 2.54/0.75 thf(f1766,plain,(
% 2.54/0.75 ($true != (?? @ (nat > nat) @ (^[Y0 : nat > nat]: (?? @ nat @ (^[Y1 : nat]: ((inf_inf @ set @ nat @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y2) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y3 : a]: (~ (p @ Y3))) @ xsa)) @ xsa)))))) @ (collect @ nat @ (^[Y2 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y3 : a]: (~ (p @ Y3))) @ xsa)) @ xsa)) @ Y2))))) = (image @ nat @ nat @ Y0 @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ nat @ Y2 @ Y1))))))))))),
% 2.54/0.75 inference(trivial_inequality_removal,[],[f1758])).
% 2.54/0.75 thf(f1758,plain,(
% 2.54/0.75 ($true != $true) | ($true != (?? @ (nat > nat) @ (^[Y0 : nat > nat]: (?? @ nat @ (^[Y1 : nat]: ((inf_inf @ set @ nat @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y2) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y3 : a]: (~ (p @ Y3))) @ xsa)) @ xsa)))))) @ (collect @ nat @ (^[Y2 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y3 : a]: (~ (p @ Y3))) @ xsa)) @ xsa)) @ Y2))))) = (image @ nat @ nat @ Y0 @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ nat @ Y2 @ Y1))))))))))),
% 2.54/0.75 inference(superposition,[],[f1752,f1726])).
% 2.54/0.75 thf(f1726,plain,(
% 2.54/0.75 ( ! [X1 : $tType,X0 : $tType,X2 : set @ X1,X3 : X1 > X0] : (((?? @ (nat > X0) @ (^[Y0 : nat > X0]: (?? @ nat @ (^[Y1 : nat]: ((image @ X1 @ X0 @ X3 @ X2) = (image @ nat @ X0 @ Y0 @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ nat @ Y2 @ Y1))))))))) = $true) | ($true != (?? @ (nat > X1) @ (^[Y0 : nat > X1]: (?? @ nat @ (^[Y1 : nat]: (X2 = (image @ nat @ X1 @ Y0 @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ nat @ Y2 @ Y1))))))))))) )),
% 2.54/0.75 inference(beta_eta_normalization,[],[f1636])).
% 2.54/0.75 thf(f1636,plain,(
% 2.54/0.75 ( ! [X1 : $tType,X0 : $tType,X2 : set @ X1,X3 : X1 > X0] : (($true = ((^[Y0 : set @ X0]: (?? @ (nat > X0) @ (^[Y1 : nat > X0]: (?? @ nat @ (^[Y2 : nat]: (Y0 = (image @ nat @ X0 @ Y1 @ (collect @ nat @ (^[Y3 : nat]: (ord_less @ nat @ Y3 @ Y2)))))))))) @ (image @ X1 @ X0 @ X3 @ X2))) | (((^[Y0 : set @ X1]: (?? @ (nat > X1) @ (^[Y1 : nat > X1]: (?? @ nat @ (^[Y2 : nat]: (Y0 = (image @ nat @ X1 @ Y1 @ (collect @ nat @ (^[Y3 : nat]: (ord_less @ nat @ Y3 @ Y2)))))))))) @ X2) != $true)) )),
% 2.54/0.75 inference(definition_unfolding,[],[f1493,f1378,f1378])).
% 2.54/0.75 thf(f1493,plain,(
% 2.54/0.75 ( ! [X1 : $tType,X0 : $tType,X2 : set @ X1,X3 : X1 > X0] : (($true = (finite_finite2 @ X0 @ (image @ X1 @ X0 @ X3 @ X2))) | ($true != (finite_finite2 @ X1 @ X2))) )),
% 2.54/0.75 inference(cnf_transformation,[],[f1022])).
% 2.54/0.75 thf(f1022,plain,(
% 2.54/0.75 ! [X0 : $tType,X1 : $tType,X2 : set @ X1,X3 : X1 > X0] : (($true = (finite_finite2 @ X0 @ (image @ X1 @ X0 @ X3 @ X2))) | ($true != (finite_finite2 @ X1 @ X2)))),
% 2.54/0.75 inference(ennf_transformation,[],[f415])).
% 2.54/0.75 thf(f415,plain,(
% 2.54/0.75 ! [X0 : $tType,X1 : $tType,X2 : set @ X1,X3 : X1 > X0] : (($true = (finite_finite2 @ X1 @ X2)) => ($true = (finite_finite2 @ X0 @ (image @ X1 @ X0 @ X3 @ X2))))),
% 2.54/0.75 inference(fool_elimination,[],[f414])).
% 2.54/0.75 thf(f414,plain,(
% 2.54/0.75 ! [X0 : $tType,X1 : $tType,X2 : set @ X1,X3 : X1 > X0] : ((finite_finite2 @ X1 @ X2) => (finite_finite2 @ X0 @ (image @ X1 @ X0 @ X3 @ X2)))),
% 2.54/0.75 inference(rectify,[],[f5])).
% 2.54/0.75 thf(f5,axiom,(
% 2.54/0.75 ! [X2 : $tType,X0 : $tType,X5 : set @ X0,X7 : X0 > X2] : ((finite_finite2 @ X0 @ X5) => (finite_finite2 @ X2 @ (image @ X0 @ X2 @ X7 @ X5)))),
% 2.54/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_finite__imageI)).
% 2.54/0.75 thf(f1752,plain,(
% 2.54/0.75 ((?? @ (nat > nat) @ (^[Y0 : nat > nat]: (?? @ nat @ (^[Y1 : nat]: ((image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y2) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y3 : a]: (~ (p @ Y3))) @ xsa)) @ xsa)))))) @ (collect @ nat @ (^[Y2 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y3 : a]: (~ (p @ Y3))) @ xsa)) @ xsa)) @ Y2)))))) = (image @ nat @ nat @ Y0 @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ nat @ Y2 @ Y1))))))))) != $true)),
% 2.54/0.75 inference(beta_eta_normalization,[],[f1559])).
% 2.54/0.75 thf(f1559,plain,(
% 2.54/0.75 ($true != ((^[Y0 : set @ nat]: (?? @ (nat > nat) @ (^[Y1 : nat > nat]: (?? @ nat @ (^[Y2 : nat]: (Y0 = (image @ nat @ nat @ Y1 @ (collect @ nat @ (^[Y3 : nat]: (ord_less @ nat @ Y3 @ Y2)))))))))) @ (image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ ((^[Y1 : a > $o]: ((^[Y2 : coindu1593790203_llist @ a]: (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ Y1 @ Y2)) @ Y2)))) @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ ((^[Y1 : a > $o]: ((^[Y2 : coindu1593790203_llist @ a]: (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ Y1 @ Y2)) @ Y2)))) @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ Y0))))))))),
% 2.54/0.75 inference(definition_unfolding,[],[f1244,f1378,f1318,f1548,f1548])).
% 2.54/0.75 thf(f1244,plain,(
% 2.54/0.75 ($true != (finite_finite2 @ nat @ (image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ Y0))))))))),
% 2.54/0.75 inference(cnf_transformation,[],[f866])).
% 2.54/0.75 thf(f866,plain,(
% 2.54/0.75 ($true != (finite_finite2 @ nat @ (image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ Y0))))))))),
% 2.54/0.75 inference(flattening,[],[f379])).
% 2.54/0.75 thf(f379,plain,(
% 2.54/0.75 ~($true = (finite_finite2 @ nat @ (image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ Y0))))))))),
% 2.54/0.75 inference(fool_elimination,[],[f378])).
% 2.54/0.75 thf(f378,plain,(
% 2.54/0.75 ~(finite_finite2 @ nat @ (image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[X0 : nat] : (ord_less @ extended_enat @ (extended_enat2 @ X0) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X1 : a] : (~(p @ X1))) @ xsa)))))) @ (collect @ nat @ (^[X2 : nat] : (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X3 : a] : (~(p @ X3))) @ xsa)) @ X2)))))))),
% 2.54/0.75 inference(rectify,[],[f282])).
% 2.54/0.75 thf(f282,negated_conjecture,(
% 2.54/0.75 ~(finite_finite2 @ nat @ (image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[X3 : nat] : (ord_less @ extended_enat @ (extended_enat2 @ X3) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X4 : a] : (~(p @ X4))) @ xsa)))))) @ (collect @ nat @ (^[X3 : nat] : (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X4 : a] : (~(p @ X4))) @ xsa)) @ X3)))))))),
% 2.54/0.75 inference(negated_conjecture,[],[f281])).
% 2.54/0.75 thf(f281,conjecture,(
% 2.54/0.75 (finite_finite2 @ nat @ (image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[X3 : nat] : (ord_less @ extended_enat @ (extended_enat2 @ X3) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X4 : a] : (~(p @ X4))) @ xsa)))))) @ (collect @ nat @ (^[X3 : nat] : (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X4 : a] : (~(p @ X4))) @ xsa)) @ X3)))))))),
% 2.54/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 2.54/0.75 % SZS output end Proof for theBenchmark
% 2.54/0.75 % (5694)------------------------------
% 2.54/0.75 % (5694)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.54/0.75 % (5694)Termination reason: Refutation
% 2.54/0.75
% 2.54/0.75 % (5694)Memory used [KB]: 7419
% 2.54/0.75 % (5694)Time elapsed: 0.048 s
% 2.54/0.75 % (5694)Instructions burned: 136 (million)
% 2.54/0.75 % (5694)------------------------------
% 2.54/0.75 % (5694)------------------------------
% 2.54/0.75 % (5579)Success in time 0.382 s
% 2.54/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------