TSTP Solution File: NUM736^4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM736^4 : TPTP v8.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 : Tue May 21 01:45:18 EDT 2024
% Result : Theorem 1.69s 0.62s
% Output : Refutation 1.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM736^4 : TPTP v8.2.0. Released v7.1.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 07:01:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 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/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 % (6404)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)
% 0.13/0.39 % (6402)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.39 % (6405)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.39 % (6403)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)
% 0.13/0.39 % (6406)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)
% 0.13/0.40 % (6405)Instruction limit reached!
% 0.13/0.40 % (6405)------------------------------
% 0.13/0.40 % (6405)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (6405)Termination reason: Unknown
% 0.13/0.40 % (6405)Termination phase: shuffling
% 0.13/0.40 % (6406)Instruction limit reached!
% 0.13/0.40 % (6406)------------------------------
% 0.13/0.40 % (6406)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40
% 0.13/0.40 % (6405)Memory used [KB]: 1535
% 0.13/0.40 % (6405)Time elapsed: 0.003 s
% 0.13/0.40 % (6405)Instructions burned: 2 (million)
% 0.13/0.40 % (6405)------------------------------
% 0.13/0.40 % (6405)------------------------------
% 0.13/0.40 % (6406)Termination reason: Unknown
% 0.13/0.40 % (6406)Termination phase: shuffling
% 0.13/0.40
% 0.13/0.40 % (6406)Memory used [KB]: 1535
% 0.13/0.40 % (6406)Time elapsed: 0.003 s
% 0.13/0.40 % (6406)Instructions burned: 2 (million)
% 0.13/0.40 % (6406)------------------------------
% 0.13/0.40 % (6406)------------------------------
% 0.13/0.40 % (6403)Instruction limit reached!
% 0.13/0.40 % (6403)------------------------------
% 0.13/0.40 % (6403)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (6403)Termination reason: Unknown
% 0.13/0.40 % (6403)Termination phase: shuffling
% 0.13/0.40
% 0.13/0.40 % (6403)Memory used [KB]: 1535
% 0.13/0.40 % (6403)Time elapsed: 0.005 s
% 0.13/0.40 % (6403)Instructions burned: 5 (million)
% 0.13/0.40 % (6403)------------------------------
% 0.13/0.40 % (6403)------------------------------
% 0.13/0.40 % (6407)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)
% 0.13/0.40 % (6409)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)
% 0.13/0.40 % (6409)Instruction limit reached!
% 0.13/0.40 % (6409)------------------------------
% 0.13/0.40 % (6409)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (6409)Termination reason: Unknown
% 0.13/0.40 % (6409)Termination phase: shuffling
% 0.13/0.40
% 0.13/0.40 % (6409)Memory used [KB]: 1535
% 0.13/0.40 % (6409)Time elapsed: 0.004 s
% 0.13/0.40 % (6409)Instructions burned: 4 (million)
% 0.13/0.40 % (6409)------------------------------
% 0.13/0.40 % (6409)------------------------------
% 0.13/0.41 % (6408)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.41 % (6404)Instruction limit reached!
% 0.13/0.41 % (6404)------------------------------
% 0.13/0.41 % (6404)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (6404)Termination reason: Unknown
% 0.13/0.41 % (6404)Termination phase: shuffling
% 0.13/0.41
% 0.13/0.41 % (6404)Memory used [KB]: 1918
% 0.13/0.41 % (6404)Time elapsed: 0.017 s
% 0.13/0.41 % (6404)Instructions burned: 28 (million)
% 0.13/0.41 % (6404)------------------------------
% 0.13/0.41 % (6404)------------------------------
% 0.13/0.41 % (6412)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)
% 0.13/0.41 % (6410)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)
% 0.13/0.41 % (6412)Instruction limit reached!
% 0.13/0.41 % (6412)------------------------------
% 0.13/0.41 % (6412)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (6412)Termination reason: Unknown
% 0.13/0.41 % (6412)Termination phase: shuffling
% 0.13/0.41
% 0.13/0.41 % (6412)Memory used [KB]: 1535
% 0.13/0.41 % (6412)Time elapsed: 0.004 s
% 0.13/0.41 % (6412)Instructions burned: 3 (million)
% 0.13/0.41 % (6412)------------------------------
% 0.13/0.41 % (6412)------------------------------
% 0.13/0.41 % (6411)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)
% 0.13/0.42 % (6408)Instruction limit reached!
% 0.13/0.42 % (6408)------------------------------
% 0.13/0.42 % (6408)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42 % (6408)Termination reason: Unknown
% 0.13/0.42 % (6408)Termination phase: shuffling
% 0.13/0.42
% 0.13/0.42 % (6408)Memory used [KB]: 1791
% 0.13/0.42 % (6408)Time elapsed: 0.012 s
% 0.13/0.42 % (6408)Instructions burned: 19 (million)
% 0.13/0.42 % (6408)------------------------------
% 0.13/0.42 % (6408)------------------------------
% 0.20/0.42 % (6413)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)
% 0.20/0.42 % (6411)Instruction limit reached!
% 0.20/0.42 % (6411)------------------------------
% 0.20/0.42 % (6411)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (6411)Termination reason: Unknown
% 0.20/0.42 % (6411)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (6411)Memory used [KB]: 1791
% 0.20/0.42 % (6411)Time elapsed: 0.010 s
% 0.20/0.42 % (6411)Instructions burned: 15 (million)
% 0.20/0.42 % (6411)------------------------------
% 0.20/0.42 % (6411)------------------------------
% 0.20/0.42 % (6414)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.43 % (6414)Instruction limit reached!
% 0.20/0.43 % (6414)------------------------------
% 0.20/0.43 % (6414)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (6414)Termination reason: Unknown
% 0.20/0.43 % (6414)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (6414)Memory used [KB]: 1535
% 0.20/0.43 % (6414)Time elapsed: 0.005 s
% 0.20/0.43 % (6414)Instructions burned: 7 (million)
% 0.20/0.43 % (6414)------------------------------
% 0.20/0.43 % (6414)------------------------------
% 0.20/0.43 % (6415)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.43 % (6410)Instruction limit reached!
% 0.20/0.43 % (6410)------------------------------
% 0.20/0.43 % (6410)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (6410)Termination reason: Unknown
% 0.20/0.43 % (6410)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (6410)Memory used [KB]: 2174
% 0.20/0.43 % (6410)Time elapsed: 0.021 s
% 0.20/0.43 % (6410)Instructions burned: 38 (million)
% 0.20/0.43 % (6410)------------------------------
% 0.20/0.43 % (6410)------------------------------
% 0.20/0.43 % (6416)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)
% 0.20/0.43 % (6416)Instruction limit reached!
% 0.20/0.43 % (6416)------------------------------
% 0.20/0.43 % (6416)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (6416)Termination reason: Unknown
% 0.20/0.43 % (6416)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (6416)Memory used [KB]: 1535
% 0.20/0.43 % (6416)Time elapsed: 0.004 s
% 0.20/0.43 % (6416)Instructions burned: 4 (million)
% 0.20/0.43 % (6416)------------------------------
% 0.20/0.43 % (6416)------------------------------
% 0.20/0.44 % (6417)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)
% 0.20/0.44 % (6415)Instruction limit reached!
% 0.20/0.44 % (6415)------------------------------
% 0.20/0.44 % (6415)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (6415)Termination reason: Unknown
% 0.20/0.44 % (6415)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (6415)Memory used [KB]: 1791
% 0.20/0.44 % (6415)Time elapsed: 0.011 s
% 0.20/0.44 % (6415)Instructions burned: 17 (million)
% 0.20/0.44 % (6415)------------------------------
% 0.20/0.44 % (6415)------------------------------
% 0.20/0.44 % (6417)Instruction limit reached!
% 0.20/0.44 % (6417)------------------------------
% 0.20/0.44 % (6417)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (6417)Termination reason: Unknown
% 0.20/0.44 % (6417)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (6417)Memory used [KB]: 1535
% 0.20/0.44 % (6417)Time elapsed: 0.004 s
% 0.20/0.44 % (6417)Instructions burned: 4 (million)
% 0.20/0.44 % (6417)------------------------------
% 0.20/0.44 % (6417)------------------------------
% 0.20/0.44 % (6418)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)
% 0.20/0.44 % (6418)Instruction limit reached!
% 0.20/0.44 % (6418)------------------------------
% 0.20/0.44 % (6418)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (6418)Termination reason: Unknown
% 0.20/0.44 % (6418)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.45 % (6418)Memory used [KB]: 1535
% 0.20/0.45 % (6418)Time elapsed: 0.005 s
% 0.20/0.45 % (6418)Instructions burned: 7 (million)
% 0.20/0.45 % (6418)------------------------------
% 0.20/0.45 % (6418)------------------------------
% 0.20/0.45 % (6419)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)
% 0.20/0.45 % (6419)Instruction limit reached!
% 0.20/0.45 % (6419)------------------------------
% 0.20/0.45 % (6419)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (6419)Termination reason: Unknown
% 0.20/0.45 % (6419)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (6419)Memory used [KB]: 1535
% 0.20/0.45 % (6419)Time elapsed: 0.004 s
% 0.20/0.45 % (6419)Instructions burned: 3 (million)
% 0.20/0.45 % (6419)------------------------------
% 0.20/0.45 % (6419)------------------------------
% 0.20/0.45 % (6420)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.45 % (6407)Refutation not found, incomplete strategy
% 0.20/0.45 % (6407)------------------------------
% 0.20/0.45 % (6407)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (6407)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 % (6407)Memory used [KB]: 6780
% 0.20/0.45 % (6407)Time elapsed: 0.054 s
% 0.20/0.45 % (6407)Instructions burned: 102 (million)
% 0.20/0.45 % (6407)------------------------------
% 0.20/0.45 % (6407)------------------------------
% 0.20/0.45 % (6420)Instruction limit reached!
% 0.20/0.45 % (6420)------------------------------
% 0.20/0.45 % (6420)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (6420)Termination reason: Unknown
% 0.20/0.45 % (6420)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (6420)Memory used [KB]: 1535
% 0.20/0.45 % (6420)Time elapsed: 0.004 s
% 0.20/0.45 % (6420)Instructions burned: 4 (million)
% 0.20/0.45 % (6420)------------------------------
% 0.20/0.45 % (6420)------------------------------
% 0.20/0.45 % (6421)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)
% 0.20/0.45 % (6422)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.46 % (6423)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.46 % (6421)Instruction limit reached!
% 0.20/0.46 % (6421)------------------------------
% 0.20/0.46 % (6421)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (6423)Instruction limit reached!
% 0.20/0.46 % (6423)------------------------------
% 0.20/0.46 % (6423)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (6423)Termination reason: Unknown
% 0.20/0.46 % (6423)Termination phase: shuffling
% 0.20/0.46
% 0.20/0.46 % (6423)Memory used [KB]: 1535
% 0.20/0.46 % (6423)Time elapsed: 0.005 s
% 0.20/0.46 % (6423)Instructions burned: 7 (million)
% 0.20/0.46 % (6423)------------------------------
% 0.20/0.46 % (6423)------------------------------
% 0.20/0.46 % (6421)Termination reason: Unknown
% 0.20/0.46 % (6421)Termination phase: shuffling
% 0.20/0.46
% 0.20/0.46 % (6421)Memory used [KB]: 1791
% 0.20/0.46 % (6421)Time elapsed: 0.012 s
% 0.20/0.46 % (6421)Instructions burned: 19 (million)
% 0.20/0.46 % (6421)------------------------------
% 0.20/0.46 % (6421)------------------------------
% 0.20/0.46 % (6424)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)
% 0.20/0.47 % (6425)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 (2998ds/21Mi)
% 0.20/0.47 % (6426)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.20/0.47 % (6402)Instruction limit reached!
% 0.20/0.47 % (6402)------------------------------
% 0.20/0.47 % (6402)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (6402)Termination reason: Unknown
% 0.20/0.47 % (6402)Termination phase: Function definition elimination
% 0.20/0.47
% 0.20/0.47 % (6402)Memory used [KB]: 2430
% 0.20/0.47 % (6402)Time elapsed: 0.075 s
% 0.20/0.47 % (6402)Instructions burned: 186 (million)
% 0.20/0.47 % (6402)------------------------------
% 0.20/0.47 % (6402)------------------------------
% 0.20/0.47 % (6426)Instruction limit reached!
% 0.20/0.47 % (6426)------------------------------
% 0.20/0.47 % (6426)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (6426)Termination reason: Unknown
% 0.20/0.47 % (6426)Termination phase: shuffling
% 0.20/0.47
% 0.20/0.47 % (6426)Memory used [KB]: 1535
% 0.20/0.47 % (6426)Time elapsed: 0.005 s
% 0.20/0.47 % (6426)Instructions burned: 6 (million)
% 0.20/0.47 % (6426)------------------------------
% 0.20/0.47 % (6426)------------------------------
% 0.20/0.47 % (6427)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)
% 0.20/0.48 % (6425)Instruction limit reached!
% 0.20/0.48 % (6425)------------------------------
% 0.20/0.48 % (6425)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (6425)Termination reason: Unknown
% 0.20/0.48 % (6425)Termination phase: shuffling
% 0.20/0.48
% 0.20/0.48 % (6425)Memory used [KB]: 1791
% 0.20/0.48 % (6425)Time elapsed: 0.013 s
% 0.20/0.48 % (6425)Instructions burned: 21 (million)
% 0.20/0.48 % (6425)------------------------------
% 0.20/0.48 % (6425)------------------------------
% 0.20/0.48 % (6427)Instruction limit reached!
% 0.20/0.48 % (6427)------------------------------
% 0.20/0.48 % (6427)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (6427)Termination reason: Unknown
% 0.20/0.48 % (6427)Termination phase: shuffling
% 0.20/0.48
% 0.20/0.48 % (6427)Memory used [KB]: 1663
% 0.20/0.48 % (6427)Time elapsed: 0.004 s
% 0.20/0.48 % (6427)Instructions burned: 9 (million)
% 0.20/0.48 % (6427)------------------------------
% 0.20/0.48 % (6427)------------------------------
% 0.20/0.48 % (6428)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.20/0.48 % (6429)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)
% 0.20/0.48 % (6430)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)
% 0.20/0.49 % (6431)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)
% 0.20/0.49 % (6432)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.20/0.50 % (6430)Instruction limit reached!
% 0.20/0.50 % (6430)------------------------------
% 0.20/0.50 % (6430)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (6430)Termination reason: Unknown
% 0.20/0.50 % (6430)Termination phase: shuffling
% 0.20/0.50
% 0.20/0.50 % (6430)Memory used [KB]: 1791
% 0.20/0.50 % (6430)Time elapsed: 0.014 s
% 0.20/0.50 % (6430)Instructions burned: 20 (million)
% 0.20/0.50 % (6430)------------------------------
% 0.20/0.50 % (6430)------------------------------
% 0.20/0.50 % (6432)Instruction limit reached!
% 0.20/0.50 % (6432)------------------------------
% 0.20/0.50 % (6432)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (6432)Termination reason: Unknown
% 0.20/0.50 % (6432)Termination phase: shuffling
% 0.20/0.50
% 0.20/0.50 % (6432)Memory used [KB]: 1791
% 0.20/0.50 % (6432)Time elapsed: 0.012 s
% 0.20/0.50 % (6432)Instructions burned: 18 (million)
% 0.20/0.50 % (6432)------------------------------
% 0.20/0.50 % (6432)------------------------------
% 0.20/0.51 % (6433)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.51 % (6433)Instruction limit reached!
% 0.20/0.51 % (6433)------------------------------
% 0.20/0.51 % (6433)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51 % (6433)Termination reason: Unknown
% 0.20/0.51 % (6433)Termination phase: shuffling
% 0.20/0.51
% 0.20/0.51 % (6433)Memory used [KB]: 1535
% 0.20/0.51 % (6433)Time elapsed: 0.003 s
% 0.20/0.51 % (6433)Instructions burned: 3 (million)
% 0.20/0.51 % (6433)------------------------------
% 0.20/0.51 % (6433)------------------------------
% 0.20/0.52 % (6434)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.52 % (6435)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)
% 0.20/0.52 % (6424)Refutation not found, incomplete strategy
% 0.20/0.52 % (6424)------------------------------
% 0.20/0.52 % (6424)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.52 % (6424)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 % (6424)Memory used [KB]: 7036
% 0.20/0.52 % (6424)Time elapsed: 0.063 s
% 0.20/0.52 % (6424)Instructions burned: 152 (million)
% 0.20/0.52 % (6424)------------------------------
% 0.20/0.52 % (6424)------------------------------
% 0.20/0.53 % (6434)Instruction limit reached!
% 0.20/0.53 % (6434)------------------------------
% 0.20/0.53 % (6434)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (6434)Termination reason: Unknown
% 0.20/0.53 % (6434)Termination phase: shuffling
% 0.20/0.53
% 0.20/0.53 % (6434)Memory used [KB]: 1918
% 0.20/0.53 % (6434)Time elapsed: 0.017 s
% 0.20/0.53 % (6434)Instructions burned: 31 (million)
% 0.20/0.53 % (6434)------------------------------
% 0.20/0.53 % (6434)------------------------------
% 0.20/0.54 % (6436)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 (2998ds/100Mi)
% 0.20/0.54 % (6431)Refutation not found, incomplete strategy
% 0.20/0.54 % (6431)------------------------------
% 0.20/0.54 % (6431)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (6431)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54 % (6431)Memory used [KB]: 6780
% 0.20/0.54 % (6431)Time elapsed: 0.048 s
% 0.20/0.54 % (6431)Instructions burned: 102 (million)
% 0.20/0.54 % (6431)------------------------------
% 0.20/0.54 % (6431)------------------------------
% 0.20/0.54 % (6437)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 (2998ds/3Mi)
% 0.20/0.54 % (6437)Instruction limit reached!
% 0.20/0.54 % (6437)------------------------------
% 0.20/0.54 % (6437)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (6437)Termination reason: Unknown
% 0.20/0.54 % (6437)Termination phase: shuffling
% 0.20/0.54
% 0.20/0.54 % (6437)Memory used [KB]: 1535
% 0.20/0.54 % (6437)Time elapsed: 0.003 s
% 0.20/0.54 % (6437)Instructions burned: 6 (million)
% 0.20/0.54 % (6437)------------------------------
% 0.20/0.54 % (6437)------------------------------
% 0.20/0.55 % (6438)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 (2998ds/20Mi)
% 0.20/0.55 % (6439)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 (2998ds/86Mi)
% 0.20/0.55 % (6438)Instruction limit reached!
% 0.20/0.55 % (6438)------------------------------
% 0.20/0.55 % (6438)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.55 % (6438)Termination reason: Unknown
% 0.20/0.55 % (6438)Termination phase: shuffling
% 0.20/0.55
% 0.20/0.55 % (6438)Memory used [KB]: 1791
% 0.20/0.55 % (6438)Time elapsed: 0.007 s
% 0.20/0.55 % (6438)Instructions burned: 20 (million)
% 0.20/0.55 % (6438)------------------------------
% 0.20/0.55 % (6438)------------------------------
% 0.20/0.55 % (6435)Instruction limit reached!
% 0.20/0.55 % (6435)------------------------------
% 0.20/0.55 % (6435)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.55 % (6435)Termination reason: Unknown
% 0.20/0.55 % (6435)Termination phase: Function definition elimination
% 0.20/0.55
% 0.20/0.55 % (6435)Memory used [KB]: 2430
% 0.20/0.55 % (6435)Time elapsed: 0.036 s
% 0.20/0.55 % (6435)Instructions burned: 130 (million)
% 0.20/0.55 % (6435)------------------------------
% 0.20/0.55 % (6435)------------------------------
% 0.20/0.56 % (6441)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 (2998ds/39Mi)
% 0.20/0.56 % (6436)Instruction limit reached!
% 0.20/0.56 % (6436)------------------------------
% 0.20/0.56 % (6436)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.56 % (6436)Termination reason: Unknown
% 0.20/0.56 % (6436)Termination phase: Function definition elimination
% 0.20/0.56
% 0.20/0.56 % (6436)Memory used [KB]: 2302
% 0.20/0.56 % (6436)Time elapsed: 0.029 s
% 0.20/0.56 % (6436)Instructions burned: 101 (million)
% 0.20/0.56 % (6436)------------------------------
% 0.20/0.56 % (6436)------------------------------
% 0.20/0.57 % (6440)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 (2998ds/107Mi)
% 1.54/0.57 % (6428)Instruction limit reached!
% 1.54/0.57 % (6428)------------------------------
% 1.54/0.57 % (6428)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.54/0.57 % (6428)Termination reason: Unknown
% 1.54/0.57 % (6428)Termination phase: Function definition elimination
% 1.54/0.57
% 1.54/0.57 % (6428)Memory used [KB]: 2430
% 1.54/0.57 % (6428)Time elapsed: 0.091 s
% 1.54/0.57 % (6428)Instructions burned: 378 (million)
% 1.54/0.57 % (6428)------------------------------
% 1.54/0.57 % (6428)------------------------------
% 1.54/0.57 % (6439)Instruction limit reached!
% 1.54/0.57 % (6439)------------------------------
% 1.54/0.57 % (6439)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.54/0.57 % (6439)Termination reason: Unknown
% 1.54/0.57 % (6439)Termination phase: Property scanning
% 1.54/0.57
% 1.54/0.57 % (6439)Memory used [KB]: 2302
% 1.54/0.57 % (6439)Time elapsed: 0.025 s
% 1.54/0.57 % (6439)Instructions burned: 89 (million)
% 1.54/0.57 % (6439)------------------------------
% 1.54/0.57 % (6439)------------------------------
% 1.54/0.57 % (6441)Instruction limit reached!
% 1.54/0.57 % (6441)------------------------------
% 1.54/0.57 % (6441)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.54/0.57 % (6441)Termination reason: Unknown
% 1.54/0.57 % (6441)Termination phase: shuffling
% 1.54/0.57
% 1.54/0.57 % (6441)Memory used [KB]: 2174
% 1.54/0.57 % (6441)Time elapsed: 0.013 s
% 1.54/0.57 % (6441)Instructions burned: 41 (million)
% 1.54/0.57 % (6441)------------------------------
% 1.54/0.57 % (6441)------------------------------
% 1.54/0.58 % (6442)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)
% 1.54/0.58 % (6443)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 (2997ds/46Mi)
% 1.54/0.58 % (6444)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 (2997ds/98Mi)
% 1.54/0.58 % (6445)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 (2997ds/507Mi)
% 1.69/0.60 % (6443)Instruction limit reached!
% 1.69/0.60 % (6443)------------------------------
% 1.69/0.60 % (6443)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.69/0.60 % (6443)Termination reason: Unknown
% 1.69/0.60 % (6443)Termination phase: Property scanning
% 1.69/0.60
% 1.69/0.60 % (6443)Memory used [KB]: 2174
% 1.69/0.60 % (6443)Time elapsed: 0.021 s
% 1.69/0.60 % (6443)Instructions burned: 46 (million)
% 1.69/0.60 % (6443)------------------------------
% 1.69/0.60 % (6443)------------------------------
% 1.69/0.60 % (6440)Instruction limit reached!
% 1.69/0.60 % (6440)------------------------------
% 1.69/0.60 % (6440)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.69/0.60 % (6440)Termination reason: Unknown
% 1.69/0.60 % (6440)Termination phase: Property scanning
% 1.69/0.60
% 1.69/0.60 % (6444)Instruction limit reached!
% 1.69/0.60 % (6444)------------------------------
% 1.69/0.60 % (6444)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.69/0.60 % (6440)Memory used [KB]: 2302
% 1.69/0.60 % (6440)Time elapsed: 0.040 s
% 1.69/0.60 % (6440)Instructions burned: 109 (million)
% 1.69/0.60 % (6440)------------------------------
% 1.69/0.60 % (6440)------------------------------
% 1.69/0.60 % (6444)Termination reason: Unknown
% 1.69/0.60 % (6444)Termination phase: Function definition elimination
% 1.69/0.60
% 1.69/0.60 % (6444)Memory used [KB]: 2302
% 1.69/0.60 % (6444)Time elapsed: 0.026 s
% 1.69/0.60 % (6444)Instructions burned: 100 (million)
% 1.69/0.60 % (6444)------------------------------
% 1.69/0.60 % (6444)------------------------------
% 1.69/0.61 % (6446)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 (2997ds/149Mi)
% 1.69/0.61 % (6447)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.69/0.61 % (6448)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 1.69/0.61 % (6448)Instruction limit reached!
% 1.69/0.61 % (6448)------------------------------
% 1.69/0.61 % (6448)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.69/0.61 % (6448)Termination reason: Unknown
% 1.69/0.61 % (6448)Termination phase: shuffling
% 1.69/0.61
% 1.69/0.62 % (6448)Memory used [KB]: 1663
% 1.69/0.62 % (6448)Time elapsed: 0.003 s
% 1.69/0.62 % (6448)Instructions burned: 6 (million)
% 1.69/0.62 % (6448)------------------------------
% 1.69/0.62 % (6448)------------------------------
% 1.69/0.62 % (6429)First to succeed.
% 1.69/0.62 % (6429)Refutation found. Thanks to Tanya!
% 1.69/0.62 % SZS status Theorem for theBenchmark
% 1.69/0.62 % SZS output start Proof for theBenchmark
% 1.69/0.62 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 1.69/0.62 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 1.69/0.62 thf(func_def_3, type, eps: ($i > $o) > $i).
% 1.69/0.62 thf(func_def_4, type, in: $i > $i > $o).
% 1.69/0.62 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 1.69/0.62 thf(func_def_7, type, union: $i > $i).
% 1.69/0.62 thf(func_def_8, type, power: $i > $i).
% 1.69/0.62 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 1.69/0.62 thf(func_def_10, type, d_Union_closed: $i > $o).
% 1.69/0.62 thf(func_def_11, type, d_Power_closed: $i > $o).
% 1.69/0.62 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 1.69/0.62 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 1.69/0.62 thf(func_def_14, type, univof: $i > $i).
% 1.69/0.62 thf(func_def_15, type, if: $o > $i > $i > $i).
% 1.69/0.62 thf(func_def_16, type, nIn: $i > $i > $o).
% 1.69/0.62 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 1.69/0.62 thf(func_def_18, type, d_Sing: $i > $i).
% 1.69/0.62 thf(func_def_19, type, binunion: $i > $i > $i).
% 1.69/0.62 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 1.69/0.62 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 1.69/0.62 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 1.69/0.62 thf(func_def_23, type, setminus: $i > $i > $i).
% 1.69/0.62 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 1.69/0.62 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 1.69/0.62 thf(func_def_26, type, ordsucc: $i > $i).
% 1.69/0.62 thf(func_def_27, type, nat_p: $i > $o).
% 1.69/0.62 thf(func_def_29, type, d_Inj1: $i > $i).
% 1.69/0.62 thf(func_def_30, type, d_Inj0: $i > $i).
% 1.69/0.62 thf(func_def_31, type, d_Unj: $i > $i).
% 1.69/0.62 thf(func_def_32, type, pair: $i > $i > $i).
% 1.69/0.62 thf(func_def_33, type, proj0: $i > $i).
% 1.69/0.62 thf(func_def_34, type, proj1: $i > $i).
% 1.69/0.62 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 1.69/0.62 thf(func_def_36, type, setprod: $i > $i > $i).
% 1.69/0.62 thf(func_def_37, type, ap: $i > $i > $i).
% 1.69/0.62 thf(func_def_38, type, pair_p: $i > $o).
% 1.69/0.62 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 1.69/0.62 thf(func_def_40, type, imp: $o > $o > $o).
% 1.69/0.62 thf(func_def_41, type, d_not: $o > $o).
% 1.69/0.62 thf(func_def_42, type, wel: $o > $o).
% 1.69/0.62 thf(func_def_44, type, l_ec: $o > $o > $o).
% 1.69/0.62 thf(func_def_45, type, d_and: $o > $o > $o).
% 1.69/0.62 thf(func_def_46, type, l_or: $o > $o > $o).
% 1.69/0.62 thf(func_def_47, type, orec: $o > $o > $o).
% 1.69/0.62 thf(func_def_48, type, l_iff: $o > $o > $o).
% 1.69/0.62 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 1.69/0.62 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 1.69/0.62 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 1.69/0.62 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 1.69/0.62 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 1.69/0.62 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 1.69/0.62 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 1.69/0.62 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 1.69/0.62 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 1.69/0.62 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 1.69/0.62 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 1.69/0.62 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 1.69/0.62 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_72, type, first: $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_73, type, second: $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_80, type, r_ec: $o > $o > $o).
% 1.69/0.62 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_82, type, empty: $i > $i > $o).
% 1.69/0.62 thf(func_def_83, type, nonempty: $i > $i > $o).
% 1.69/0.62 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 1.69/0.62 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 1.69/0.62 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 1.69/0.62 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 1.69/0.62 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 1.69/0.62 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 1.69/0.62 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 1.69/0.62 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 1.69/0.62 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 1.69/0.62 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_103, type, n_is: $i > $i > $o).
% 1.69/0.62 thf(func_def_104, type, nis: $i > $i > $o).
% 1.69/0.62 thf(func_def_105, type, n_in: $i > $i > $o).
% 1.69/0.62 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 1.69/0.62 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 1.69/0.62 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 1.69/0.62 thf(func_def_110, type, cond1: $i > $o).
% 1.69/0.62 thf(func_def_111, type, cond2: $i > $o).
% 1.69/0.62 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 1.69/0.62 thf(func_def_113, type, d_22_prop1: $i > $o).
% 1.69/0.62 thf(func_def_114, type, d_23_prop1: $i > $o).
% 1.69/0.62 thf(func_def_115, type, d_24_prop1: $i > $o).
% 1.69/0.62 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 1.69/0.62 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_118, type, prop4: $i > $o).
% 1.69/0.62 thf(func_def_119, type, d_24_g: $i > $i).
% 1.69/0.62 thf(func_def_120, type, plus: $i > $i).
% 1.69/0.62 thf(func_def_121, type, n_pl: $i > $i > $i).
% 1.69/0.62 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 1.69/0.62 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 1.69/0.62 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 1.69/0.62 thf(func_def_128, type, iii: $i > $i > $o).
% 1.69/0.62 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 1.69/0.62 thf(func_def_130, type, moreis: $i > $i > $o).
% 1.69/0.62 thf(func_def_131, type, lessis: $i > $i > $o).
% 1.69/0.62 thf(func_def_132, type, lbprop: ($i > $o) > $i > $i > $o).
% 1.69/0.62 thf(func_def_133, type, n_lb: ($i > $o) > $i > $o).
% 1.69/0.62 thf(func_def_134, type, min: ($i > $o) > $i > $o).
% 1.69/0.62 thf(func_def_135, type, d_428_prop1: $i > $i > $o).
% 1.69/0.62 thf(func_def_136, type, d_428_prop2: $i > $i > $o).
% 1.69/0.62 thf(func_def_137, type, d_428_prop4: $i > $o).
% 1.69/0.62 thf(func_def_139, type, d_428_g: $i > $i).
% 1.69/0.62 thf(func_def_140, type, times: $i > $i).
% 1.69/0.62 thf(func_def_141, type, n_ts: $i > $i > $i).
% 1.69/0.62 thf(func_def_142, type, d_429_prop1: $i > $i > $o).
% 1.69/0.62 thf(func_def_143, type, d_430_prop1: $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_144, type, d_431_prop1: $i > $i > $i > $o).
% 1.69/0.62 thf(func_def_145, type, n_mn: $i > $i > $i).
% 1.69/0.62 thf(func_def_146, type, d_1to: $i > $i).
% 1.69/0.62 thf(func_def_147, type, outn: $i > $i > $i).
% 1.69/0.62 thf(func_def_148, type, inn: $i > $i > $i).
% 1.69/0.62 thf(func_def_150, type, singlet_u0: $i > $i).
% 1.69/0.62 thf(func_def_154, type, pair_u0: $i > $i).
% 1.69/0.62 thf(func_def_155, type, pair1type: $i > $i).
% 1.69/0.62 thf(func_def_156, type, pair1: $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_157, type, first1: $i > $i > $i).
% 1.69/0.62 thf(func_def_158, type, second1: $i > $i > $i).
% 1.69/0.62 thf(func_def_159, type, pair_q0: $i > $i > $i).
% 1.69/0.62 thf(func_def_160, type, d_1out: $i > $i).
% 1.69/0.62 thf(func_def_161, type, xout: $i > $i).
% 1.69/0.62 thf(func_def_162, type, left1to: $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_163, type, right1to: $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_164, type, left: $i > $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_165, type, right: $i > $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_166, type, left_f1: $i > $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_167, type, left_f2: $i > $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_169, type, n_fr: $i > $i > $i).
% 1.69/0.62 thf(func_def_170, type, num: $i > $i).
% 1.69/0.62 thf(func_def_171, type, den: $i > $i).
% 1.69/0.62 thf(func_def_172, type, n_eq: $i > $i > $o).
% 1.69/0.62 thf(func_def_173, type, moref: $i > $i > $o).
% 1.69/0.62 thf(func_def_174, type, lessf: $i > $i > $o).
% 1.69/0.62 thf(func_def_195, type, sK1: $i > $i > $i > $i).
% 1.69/0.62 thf(func_def_196, type, sK2: $i > ($i > $i) > ($i > $i) > $i).
% 1.69/0.62 thf(func_def_197, type, sK3: ($i > $i) > ($i > $i) > $i > $i).
% 1.69/0.62 thf(f1945,plain,(
% 1.69/0.62 $false),
% 1.69/0.62 inference(trivial_inequality_removal,[],[f1944])).
% 1.69/0.62 thf(f1944,plain,(
% 1.69/0.62 ($true = $false)),
% 1.69/0.62 inference(beta_eta_normalization,[],[f1943])).
% 1.69/0.62 thf(f1943,plain,(
% 1.69/0.62 ($false = ((^[Y0 : $i]: ($true)) @ sK5))),
% 1.69/0.62 inference(sigma_clausification,[],[f1941])).
% 1.69/0.62 thf(f1941,plain,(
% 1.69/0.62 ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false)),
% 1.69/0.62 inference(binary_proxy_clausification,[],[f1940])).
% 1.69/0.62 thf(f1940,plain,(
% 1.69/0.62 ($false = ((in @ sK4 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: ((d_not @ (l_some @ nat @ (^[Y1 : $i]: ((n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = (n_pl @ Y0 @ Y1))))) => (Y0 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (^[Y0 : $i]: (nat)))) => (!! @ $i @ (^[Y0 : $i]: ($true)))))),
% 1.69/0.62 inference(beta_eta_normalization,[],[f1939])).
% 1.69/0.62 thf(f1939,plain,(
% 1.69/0.62 ($false = ((^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: ((d_not @ (l_some @ nat @ (^[Y2 : $i]: ((n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = (n_pl @ Y1 @ Y2))))) => (Y1 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ($true))))) @ sK4))),
% 1.69/0.62 inference(sigma_clausification,[],[f1938])).
% 1.69/0.62 thf(f1938,plain,(
% 1.69/0.62 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: ((d_not @ (l_some @ nat @ (^[Y2 : $i]: ((n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = (n_pl @ Y1 @ Y2))))) => (Y1 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ($true)))))) = $false)),
% 1.69/0.62 inference(not_proxy_clausification,[],[f1504])).
% 1.69/0.62 thf(f1504,plain,(
% 1.69/0.62 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: ((d_not @ (l_some @ nat @ (^[Y2 : $i]: ((n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = (n_pl @ Y1 @ Y2))))) => (Y1 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ($true))))))))),
% 1.69/0.62 inference(boolean_simplification,[],[f1503])).
% 1.69/0.62 thf(f1503,plain,(
% 1.69/0.62 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: ((d_not @ (l_some @ nat @ (^[Y2 : $i]: ((n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = (n_pl @ Y1 @ Y2))))) => (Y1 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (d_Pi @ (d_Sep @ nat @ (^[Y2 : $i]: ((d_not @ (l_some @ nat @ (^[Y3 : $i]: ((n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = (n_pl @ Y2 @ Y3))))) => (Y2 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (^[Y2 : $i]: (nat)))) => $true))))))))),
% 1.69/0.62 inference(boolean_simplification,[],[f1502])).
% 1.69/0.62 thf(f1502,plain,(
% 1.69/0.62 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: ((d_not @ (l_some @ nat @ (^[Y2 : $i]: ((n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = (n_pl @ Y1 @ Y2))))) => (Y1 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (d_Pi @ (d_Sep @ nat @ (^[Y2 : $i]: ((d_not @ (l_some @ nat @ (^[Y3 : $i]: ((n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = (n_pl @ Y2 @ Y3))))) => (Y2 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (^[Y2 : $i]: (nat)))) => ((l_some @ nat @ (^[Y2 : $i]: ((n_ts @ (ap @ Y0 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (ap @ Y1 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))) = (n_pl @ (n_ts @ (ap @ Y1 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (ap @ Y0 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))) @ Y2)))) => (l_some @ nat @ (^[Y2 : $i]: ((n_ts @ (ap @ Y0 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (ap @ Y1 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))) = (n_pl @ (n_ts @ (ap @ Y1 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (ap @ Y0 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))) @ Y2)))))))))))))),
% 1.69/0.62 inference(beta_eta_normalization,[],[f1326])).
% 1.69/0.62 thf(f1326,plain,(
% 1.69/0.62 ($true = (~ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ ((^[Y1 : $i]: (d_Pi @ ((^[Y2 : $i]: (d_Sep @ nat @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $o]: ((^[Y8 : $o]: (Y7 => Y8)))) @ (d_not @ Y6))) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (l_some @ nat @ ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: (Y12 = Y13)))))) @ nat @ Y8 @ (n_pl @ Y9 @ Y10))))))) @ Y7 @ Y6))))) @ Y4 @ Y5) @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7 = Y8)))))) @ nat @ Y4 @ Y5))))) @ Y3 @ Y2)))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))) @ (^[Y2 : $i]: (Y1)))) @ nat))) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ ((^[Y2 : $i]: (d_Pi @ ((^[Y3 : $i]: (d_Sep @ nat @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: ((^[Y9 : $o]: (Y8 => Y9)))) @ (d_not @ Y7))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (l_some @ nat @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: (Y13 = Y14)))))) @ nat @ Y9 @ (n_pl @ Y10 @ Y11))))))) @ Y8 @ Y7))))) @ Y5 @ Y6) @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y5 @ Y6))))) @ Y4 @ Y3)))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))) @ (^[Y3 : $i]: (Y2)))) @ nat))) @ (^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat @ Y3)) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat @ Y2)))))) @ Y0 @ Y1) => ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y5 @ Y4))))) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat @ Y3)) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat @ Y2)))))) @ Y1 @ Y0))))))))),
% 1.69/0.62 inference(definition_unfolding,[],[f1108,f1189,f1216,f1189,f1216,f1235,f1231])).
% 1.69/0.62 thf(f1231,plain,(
% 1.69/0.62 (lessf = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y3 @ Y2))))) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat @ Y1)) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat @ Y0)))))))),
% 1.69/0.62 inference(definition_unfolding,[],[f1154,f1188,f1218,f1219,f1218,f1219])).
% 1.69/0.62 thf(f1219,plain,(
% 1.69/0.62 (den = ((^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat))),
% 1.69/0.62 inference(definition_unfolding,[],[f1088,f1208])).
% 1.69/0.62 thf(f1208,plain,(
% 1.69/0.62 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))))),
% 1.69/0.62 inference(definition_unfolding,[],[f1074,f1200])).
% 1.69/0.62 thf(f1200,plain,(
% 1.69/0.62 (n_2t = (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))),
% 1.69/0.62 inference(definition_unfolding,[],[f1061,f1198,f1198])).
% 1.69/0.62 thf(f1198,plain,(
% 1.69/0.62 (n_2 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))),
% 1.69/0.62 inference(definition_unfolding,[],[f1038,f1089,f1089])).
% 1.69/0.62 thf(f1089,plain,(
% 1.69/0.62 ((ordsucc @ emptyset) = n_1)),
% 1.69/0.62 inference(cnf_transformation,[],[f575])).
% 1.69/0.62 thf(f575,plain,(
% 1.69/0.62 ((ordsucc @ emptyset) = n_1)),
% 1.69/0.62 inference(fool_elimination,[],[f163])).
% 1.69/0.62 thf(f163,axiom,(
% 1.69/0.62 ((ordsucc @ emptyset) = n_1)),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_1)).
% 1.69/0.62 thf(f1038,plain,(
% 1.69/0.62 (n_2 = (n_pl @ n_1 @ n_1))),
% 1.69/0.62 inference(cnf_transformation,[],[f485])).
% 1.69/0.62 thf(f485,plain,(
% 1.69/0.62 (n_2 = (n_pl @ n_1 @ n_1))),
% 1.69/0.62 inference(fool_elimination,[],[f336])).
% 1.69/0.62 thf(f336,axiom,(
% 1.69/0.62 (n_2 = (n_pl @ n_1 @ n_1))),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_2)).
% 1.69/0.62 thf(f1061,plain,(
% 1.69/0.62 (n_2t = (outn @ n_2 @ n_2))),
% 1.69/0.62 inference(cnf_transformation,[],[f497])).
% 1.69/0.62 thf(f497,plain,(
% 1.69/0.62 (n_2t = (outn @ n_2 @ n_2))),
% 1.69/0.62 inference(fool_elimination,[],[f338])).
% 1.69/0.62 thf(f338,axiom,(
% 1.69/0.62 (n_2t = (outn @ n_2 @ n_2))),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_2t)).
% 1.69/0.62 thf(f1074,plain,(
% 1.69/0.62 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_2t)))))),
% 1.69/0.62 inference(cnf_transformation,[],[f689])).
% 1.69/0.62 thf(f689,plain,(
% 1.69/0.62 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_2t)))))),
% 1.69/0.62 inference(fool_elimination,[],[f343])).
% 1.69/0.62 thf(f343,axiom,(
% 1.69/0.62 (second1 = (^[X0 : $i, X1 : $i] : (ap @ X1 @ n_2t)))),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_second1)).
% 1.69/0.62 thf(f1088,plain,(
% 1.69/0.62 (den = (second1 @ nat))),
% 1.69/0.62 inference(cnf_transformation,[],[f787])).
% 1.69/0.62 thf(f787,plain,(
% 1.69/0.62 (den = (second1 @ nat))),
% 1.69/0.62 inference(fool_elimination,[],[f356])).
% 1.69/0.62 thf(f356,axiom,(
% 1.69/0.62 (den = (second1 @ nat))),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_den)).
% 1.69/0.62 thf(f1218,plain,(
% 1.69/0.62 (num = ((^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat))),
% 1.69/0.62 inference(definition_unfolding,[],[f1151,f1207])).
% 1.69/0.62 thf(f1207,plain,(
% 1.69/0.62 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))))),
% 1.69/0.62 inference(definition_unfolding,[],[f1015,f1199])).
% 1.69/0.62 thf(f1199,plain,(
% 1.69/0.62 (n_1t = (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))),
% 1.69/0.62 inference(definition_unfolding,[],[f1082,f1198,f1089])).
% 1.69/0.62 thf(f1082,plain,(
% 1.69/0.62 (n_1t = (outn @ n_2 @ n_1))),
% 1.69/0.62 inference(cnf_transformation,[],[f535])).
% 1.69/0.62 thf(f535,plain,(
% 1.69/0.62 (n_1t = (outn @ n_2 @ n_1))),
% 1.69/0.62 inference(fool_elimination,[],[f337])).
% 1.69/0.62 thf(f337,axiom,(
% 1.69/0.62 (n_1t = (outn @ n_2 @ n_1))),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_1t)).
% 1.69/0.62 thf(f1015,plain,(
% 1.69/0.62 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_1t)))))),
% 1.69/0.62 inference(cnf_transformation,[],[f961])).
% 1.69/0.62 thf(f961,plain,(
% 1.69/0.62 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_1t)))))),
% 1.69/0.62 inference(fool_elimination,[],[f342])).
% 1.69/0.62 thf(f342,axiom,(
% 1.69/0.62 ((^[X0 : $i, X1 : $i] : (ap @ X1 @ n_1t)) = first1)),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_first1)).
% 1.69/0.62 thf(f1151,plain,(
% 1.69/0.62 (num = (first1 @ nat))),
% 1.69/0.62 inference(cnf_transformation,[],[f560])).
% 1.69/0.62 thf(f560,plain,(
% 1.69/0.62 (num = (first1 @ nat))),
% 1.69/0.62 inference(fool_elimination,[],[f355])).
% 1.69/0.62 thf(f355,axiom,(
% 1.69/0.62 (num = (first1 @ nat))),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_num)).
% 1.69/0.62 thf(f1188,plain,(
% 1.69/0.62 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y1 @ Y0))))))),
% 1.69/0.62 inference(definition_unfolding,[],[f971,f1158,f1187])).
% 1.69/0.62 thf(f1187,plain,(
% 1.69/0.62 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 1.69/0.62 inference(definition_unfolding,[],[f991,f1186])).
% 1.69/0.62 thf(f1186,plain,(
% 1.69/0.62 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))),
% 1.69/0.62 inference(definition_unfolding,[],[f1138,f1036])).
% 1.69/0.62 thf(f1036,plain,(
% 1.69/0.62 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 1.69/0.62 inference(cnf_transformation,[],[f804])).
% 1.69/0.62 thf(f804,plain,(
% 1.69/0.62 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 1.69/0.62 inference(fool_elimination,[],[f803])).
% 1.69/0.62 thf(f803,plain,(
% 1.69/0.62 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))),
% 1.69/0.62 inference(rectify,[],[f91])).
% 1.69/0.62 thf(f91,axiom,(
% 1.69/0.62 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_e_is)).
% 1.69/0.62 thf(f1138,plain,(
% 1.69/0.62 (n_is = (e_is @ nat))),
% 1.69/0.62 inference(cnf_transformation,[],[f627])).
% 1.69/0.62 thf(f627,plain,(
% 1.69/0.62 (n_is = (e_is @ nat))),
% 1.69/0.62 inference(fool_elimination,[],[f157])).
% 1.69/0.62 thf(f157,axiom,(
% 1.69/0.62 (n_is = (e_is @ nat))),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_is)).
% 1.69/0.62 thf(f991,plain,(
% 1.69/0.62 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 1.69/0.62 inference(cnf_transformation,[],[f713])).
% 1.69/0.62 thf(f713,plain,(
% 1.69/0.62 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 1.69/0.62 inference(fool_elimination,[],[f203])).
% 1.69/0.62 thf(f203,axiom,(
% 1.69/0.62 ((^[X0 : $i, X1 : $i, X2 : $i] : (n_is @ X0 @ (n_pl @ X1 @ X2))) = diffprop)),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_diffprop)).
% 1.69/0.62 thf(f1158,plain,(
% 1.69/0.62 (n_some = (l_some @ nat))),
% 1.69/0.62 inference(cnf_transformation,[],[f538])).
% 1.69/0.62 thf(f538,plain,(
% 1.69/0.62 (n_some = (l_some @ nat))),
% 1.69/0.62 inference(fool_elimination,[],[f160])).
% 1.69/0.62 thf(f160,axiom,(
% 1.69/0.62 (n_some = (l_some @ nat))),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_some)).
% 1.69/0.62 thf(f971,plain,(
% 1.69/0.62 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))),
% 1.69/0.62 inference(cnf_transformation,[],[f951])).
% 1.69/0.62 thf(f951,plain,(
% 1.69/0.62 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))),
% 1.69/0.62 inference(fool_elimination,[],[f206])).
% 1.69/0.62 thf(f206,axiom,(
% 1.69/0.62 ((^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X1 @ X0))) = iii)),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_iii)).
% 1.69/0.62 thf(f1154,plain,(
% 1.69/0.62 (lessf = (^[Y0 : $i]: ((^[Y1 : $i]: (iii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))),
% 1.69/0.62 inference(cnf_transformation,[],[f883])).
% 1.69/0.62 thf(f883,plain,(
% 1.69/0.62 (lessf = (^[Y0 : $i]: ((^[Y1 : $i]: (iii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))),
% 1.69/0.62 inference(fool_elimination,[],[f366])).
% 1.69/0.62 thf(f366,axiom,(
% 1.69/0.62 ((^[X0 : $i, X1 : $i] : (iii @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))) = lessf)),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_lessf)).
% 1.69/0.62 thf(f1235,plain,(
% 1.69/0.62 (moref = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat @ Y1)) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat @ Y0)))))))),
% 1.69/0.62 inference(definition_unfolding,[],[f982,f1191,f1218,f1219,f1218,f1219])).
% 1.69/0.62 thf(f1191,plain,(
% 1.69/0.62 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y0 @ Y1))))))),
% 1.69/0.62 inference(definition_unfolding,[],[f1185,f1158,f1187])).
% 1.69/0.62 thf(f1185,plain,(
% 1.69/0.62 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))),
% 1.69/0.62 inference(cnf_transformation,[],[f823])).
% 1.69/0.62 thf(f823,plain,(
% 1.69/0.62 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))),
% 1.69/0.62 inference(fool_elimination,[],[f205])).
% 1.69/0.62 thf(f205,axiom,(
% 1.69/0.62 (d_29_ii = (^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X0 @ X1))))),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_d_29_ii)).
% 1.69/0.62 thf(f982,plain,(
% 1.69/0.62 (moref = (^[Y0 : $i]: ((^[Y1 : $i]: (d_29_ii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))),
% 1.69/0.62 inference(cnf_transformation,[],[f387])).
% 1.69/0.62 thf(f387,plain,(
% 1.69/0.62 (moref = (^[Y0 : $i]: ((^[Y1 : $i]: (d_29_ii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))),
% 1.69/0.62 inference(fool_elimination,[],[f365])).
% 1.69/0.62 thf(f365,axiom,(
% 1.69/0.62 ((^[X0 : $i, X1 : $i] : (d_29_ii @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))) = moref)),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_moref)).
% 1.69/0.62 thf(f1216,plain,(
% 1.69/0.62 (frac = ((^[Y0 : $i]: (d_Pi @ ((^[Y1 : $i]: (d_Sep @ nat @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ (d_not @ Y5))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (l_some @ nat @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (Y11 = Y12)))))) @ nat @ Y7 @ (n_pl @ Y8 @ Y9))))))) @ Y6 @ Y5))))) @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y3 @ Y4))))) @ Y2 @ Y1)))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))) @ (^[Y1 : $i]: (Y0)))) @ nat))),
% 1.69/0.62 inference(definition_unfolding,[],[f1034,f1202])).
% 1.69/0.62 thf(f1202,plain,(
% 1.69/0.62 (pair1type = (^[Y0 : $i]: (d_Pi @ ((^[Y1 : $i]: (d_Sep @ nat @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ (d_not @ Y5))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (l_some @ nat @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (Y11 = Y12)))))) @ nat @ Y7 @ (n_pl @ Y8 @ Y9))))))) @ Y6 @ Y5))))) @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y3 @ Y4))))) @ Y2 @ Y1)))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))) @ (^[Y1 : $i]: (Y0)))))),
% 1.69/0.62 inference(definition_unfolding,[],[f999,f1195,f1198])).
% 1.69/0.62 thf(f1195,plain,(
% 1.69/0.62 (d_1to = (^[Y0 : $i]: (d_Sep @ nat @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y5 @ Y4))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ Y2 @ Y3))))) @ Y1 @ Y0)))))),
% 1.69/0.62 inference(definition_unfolding,[],[f973,f1193])).
% 1.69/0.62 thf(f1193,plain,(
% 1.69/0.62 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ (d_not @ Y2))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y3 @ Y2))))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ nat @ Y0 @ Y1))))))),
% 1.69/0.62 inference(definition_unfolding,[],[f1012,f1190,f1188,f1186])).
% 1.69/0.62 thf(f1190,plain,(
% 1.69/0.62 (l_or = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ (d_not @ Y0))))),
% 1.69/0.62 inference(definition_unfolding,[],[f1104,f1128])).
% 1.69/0.62 thf(f1128,plain,(
% 1.69/0.62 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 1.69/0.62 inference(cnf_transformation,[],[f634])).
% 1.69/0.62 thf(f634,plain,(
% 1.69/0.62 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 1.69/0.62 inference(fool_elimination,[],[f633])).
% 1.69/0.62 thf(f633,plain,(
% 1.69/0.62 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))),
% 1.69/0.62 inference(rectify,[],[f74])).
% 1.69/0.62 thf(f74,axiom,(
% 1.69/0.62 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_imp)).
% 1.69/0.62 thf(f1104,plain,(
% 1.69/0.62 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 1.69/0.62 inference(cnf_transformation,[],[f632])).
% 1.69/0.62 thf(f632,plain,(
% 1.69/0.62 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 1.69/0.62 inference(fool_elimination,[],[f81])).
% 1.69/0.62 thf(f81,axiom,(
% 1.69/0.62 ((^[X0 : $o] : (imp @ (d_not @ X0))) = l_or)),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_l_or)).
% 1.69/0.62 thf(f1012,plain,(
% 1.69/0.62 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 1.69/0.62 inference(cnf_transformation,[],[f413])).
% 1.69/0.62 thf(f413,plain,(
% 1.69/0.62 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 1.69/0.62 inference(fool_elimination,[],[f217])).
% 1.69/0.62 thf(f217,axiom,(
% 1.69/0.62 ((^[X0 : $i, X1 : $i] : (l_or @ (iii @ X0 @ X1) @ (n_is @ X0 @ X1))) = lessis)),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_lessis)).
% 1.69/0.62 thf(f973,plain,(
% 1.69/0.62 (d_1to = (^[Y0 : $i]: (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ Y0)))))),
% 1.69/0.62 inference(cnf_transformation,[],[f761])).
% 1.69/0.62 thf(f761,plain,(
% 1.69/0.62 (d_1to = (^[Y0 : $i]: (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ Y0)))))),
% 1.69/0.62 inference(fool_elimination,[],[f331])).
% 1.69/0.62 thf(f331,axiom,(
% 1.69/0.62 (d_1to = (^[X0 : $i] : (d_Sep @ nat @ (^[X1 : $i] : (lessis @ X1 @ X0)))))),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_d_1to)).
% 1.69/0.62 thf(f999,plain,(
% 1.69/0.62 (pair1type = (^[Y0 : $i]: (d_Pi @ (d_1to @ n_2) @ (^[Y1 : $i]: (Y0)))))),
% 1.69/0.62 inference(cnf_transformation,[],[f944])).
% 1.69/0.62 thf(f944,plain,(
% 1.69/0.62 (pair1type = (^[Y0 : $i]: (d_Pi @ (d_1to @ n_2) @ (^[Y1 : $i]: (Y0)))))),
% 1.69/0.62 inference(fool_elimination,[],[f340])).
% 1.69/0.62 thf(f340,axiom,(
% 1.69/0.62 (pair1type = (^[X0 : $i] : (d_Pi @ (d_1to @ n_2) @ (^[X1 : $i] : (X0)))))),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_pair1type)).
% 1.69/0.62 thf(f1034,plain,(
% 1.69/0.62 (frac = (pair1type @ nat))),
% 1.69/0.62 inference(cnf_transformation,[],[f614])).
% 1.69/0.62 thf(f614,plain,(
% 1.69/0.62 (frac = (pair1type @ nat))),
% 1.69/0.62 inference(fool_elimination,[],[f353])).
% 1.69/0.62 thf(f353,axiom,(
% 1.69/0.62 (frac = (pair1type @ nat))),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_frac)).
% 1.69/0.62 thf(f1189,plain,(
% 1.69/0.62 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.69/0.62 inference(definition_unfolding,[],[f1107,f984])).
% 1.69/0.62 thf(f984,plain,(
% 1.69/0.62 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 1.69/0.62 inference(cnf_transformation,[],[f586])).
% 1.69/0.62 thf(f586,plain,(
% 1.69/0.62 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 1.69/0.62 inference(fool_elimination,[],[f1])).
% 1.69/0.62 thf(f1,axiom,(
% 1.69/0.62 ((^[X0 : $i, X1 : $i > $o] : (X1 @ X0)) = is_of)),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_is_of)).
% 1.69/0.62 thf(f1107,plain,(
% 1.69/0.62 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.69/0.62 inference(cnf_transformation,[],[f809])).
% 1.69/0.62 thf(f809,plain,(
% 1.69/0.62 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.69/0.62 inference(fool_elimination,[],[f808])).
% 1.69/0.62 thf(f808,plain,(
% 1.69/0.62 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 1.69/0.62 inference(rectify,[],[f2])).
% 1.69/0.62 thf(f2,axiom,(
% 1.69/0.62 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_all_of)).
% 1.69/0.62 thf(f1108,plain,(
% 1.69/0.62 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((moref @ Y0 @ Y1) => (lessf @ Y1 @ Y0))))))))),
% 1.69/0.62 inference(cnf_transformation,[],[f429])).
% 1.69/0.62 thf(f429,plain,(
% 1.69/0.62 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((moref @ Y0 @ Y1) => (lessf @ Y1 @ Y0))))))))),
% 1.69/0.62 inference(fool_elimination,[],[f428])).
% 1.69/0.62 thf(f428,plain,(
% 1.69/0.62 ~(all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ frac)) @ (^[X3 : $i] : ((moref @ X1 @ X3) => (lessf @ X3 @ X1))))))),
% 1.69/0.62 inference(rectify,[],[f371])).
% 1.69/0.62 thf(f371,negated_conjecture,(
% 1.69/0.62 ~(all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ frac)) @ (^[X1 : $i] : ((moref @ X0 @ X1) => (lessf @ X1 @ X0))))))),
% 1.69/0.62 inference(negated_conjecture,[],[f370])).
% 1.69/0.62 thf(f370,conjecture,(
% 1.69/0.62 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ frac)) @ (^[X1 : $i] : ((moref @ X0 @ X1) => (lessf @ X1 @ X0))))))),
% 1.69/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz42)).
% 1.69/0.62 % SZS output end Proof for theBenchmark
% 1.69/0.62 % (6429)------------------------------
% 1.69/0.62 % (6429)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.69/0.62 % (6429)Termination reason: Refutation
% 1.69/0.62
% 1.69/0.62 % (6429)Memory used [KB]: 8443
% 1.69/0.62 % (6429)Time elapsed: 0.138 s
% 1.69/0.62 % (6429)Instructions burned: 432 (million)
% 1.69/0.62 % (6429)------------------------------
% 1.69/0.62 % (6429)------------------------------
% 1.69/0.62 % (6401)Success in time 0.258 s
% 1.69/0.62 % Vampire---4.8 exiting
%------------------------------------------------------------------------------