TSTP Solution File: NUM658^4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM658^4 : 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 : n029.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 01:44:20 EDT 2024
% Result : Theorem 1.36s 0.79s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM658^4 : TPTP v8.2.0. Released v7.1.0.
% 0.06/0.13 % 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
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 04:07:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 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
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% 0.20/0.50 ipcrm: permission denied for id (785842294)
% 0.20/0.50 ipcrm: permission denied for id (783253623)
% 0.20/0.50 ipcrm: permission denied for id (783286392)
% 0.20/0.50 ipcrm: permission denied for id (785875065)
% 0.20/0.50 ipcrm: permission denied for id (783319162)
% 0.20/0.51 ipcrm: permission denied for id (783351931)
% 0.20/0.51 ipcrm: permission denied for id (785940605)
% 0.38/0.54 % (6749)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2998ds/183Mi)
% 0.38/0.54 % (6751)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 (2998ds/27Mi)
% 0.38/0.54 % (6752)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.38/0.54 % (6756)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.38/0.54 % (6752)Instruction limit reached!
% 0.38/0.54 % (6752)------------------------------
% 0.38/0.54 % (6752)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.38/0.54 % (6752)Termination reason: Unknown
% 0.38/0.54 % (6752)Termination phase: shuffling
% 0.38/0.54
% 0.38/0.54 % (6752)Memory used [KB]: 1279
% 0.38/0.54 % (6752)Time elapsed: 0.004 s
% 0.38/0.54 % (6752)Instructions burned: 3 (million)
% 0.38/0.54 % (6752)------------------------------
% 0.38/0.54 % (6752)------------------------------
% 0.38/0.54 % (6754)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 (2998ds/275Mi)
% 0.38/0.54 % (6756)Instruction limit reached!
% 0.38/0.54 % (6756)------------------------------
% 0.38/0.54 % (6756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.38/0.54 % (6756)Termination reason: Unknown
% 0.38/0.54 % (6756)Termination phase: shuffling
% 0.38/0.54
% 0.38/0.54 % (6756)Memory used [KB]: 1279
% 0.38/0.54 % (6756)Time elapsed: 0.004 s
% 0.38/0.54 % (6756)Instructions burned: 4 (million)
% 0.38/0.54 % (6756)------------------------------
% 0.38/0.54 % (6756)------------------------------
% 0.38/0.55 % (6750)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 (2998ds/4Mi)
% 0.38/0.55 % (6753)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 (2998ds/2Mi)
% 0.38/0.55 % (6753)Instruction limit reached!
% 0.38/0.55 % (6753)------------------------------
% 0.38/0.55 % (6753)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.38/0.55 % (6753)Termination reason: Unknown
% 0.38/0.55 % (6753)Termination phase: shuffling
% 0.38/0.55
% 0.38/0.55 % (6753)Memory used [KB]: 1279
% 0.38/0.55 % (6753)Time elapsed: 0.003 s
% 0.38/0.55 % (6753)Instructions burned: 2 (million)
% 0.38/0.55 % (6753)------------------------------
% 0.38/0.55 % (6753)------------------------------
% 0.38/0.55 % (6751)Instruction limit reached!
% 0.38/0.55 % (6751)------------------------------
% 0.38/0.55 % (6751)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.38/0.55 % (6751)Termination reason: Unknown
% 0.38/0.55 % (6751)Termination phase: Property scanning
% 0.38/0.55
% 0.38/0.55 % (6751)Memory used [KB]: 1535
% 0.38/0.55 % (6751)Time elapsed: 0.017 s
% 0.38/0.55 % (6751)Instructions burned: 27 (million)
% 0.38/0.55 % (6751)------------------------------
% 0.38/0.55 % (6751)------------------------------
% 0.38/0.56 % (6757)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 (2998ds/37Mi)
% 0.46/0.56 % (6755)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.46/0.56 % (6758)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 (2998ds/15Mi)
% 0.46/0.56 % (6750)Instruction limit reached!
% 0.46/0.56 % (6750)------------------------------
% 0.46/0.56 % (6750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.56 % (6750)Termination reason: Unknown
% 0.46/0.56 % (6750)Termination phase: shuffling
% 0.46/0.56
% 0.46/0.56 % (6750)Memory used [KB]: 1279
% 0.46/0.56 % (6750)Time elapsed: 0.006 s
% 0.46/0.56 % (6750)Instructions burned: 5 (million)
% 0.46/0.56 % (6750)------------------------------
% 0.46/0.56 % (6750)------------------------------
% 0.46/0.56 % (6759)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 (2997ds/3Mi)
% 0.46/0.57 % (6759)Instruction limit reached!
% 0.46/0.57 % (6759)------------------------------
% 0.46/0.57 % (6759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.57 % (6759)Termination reason: Unknown
% 0.46/0.57 % (6759)Termination phase: shuffling
% 0.46/0.57
% 0.46/0.57 % (6759)Memory used [KB]: 1279
% 0.46/0.57 % (6759)Time elapsed: 0.002 s
% 0.46/0.57 % (6759)Instructions burned: 3 (million)
% 0.46/0.57 % (6759)------------------------------
% 0.46/0.57 % (6759)------------------------------
% 0.46/0.57 % (6754)Refutation not found, incomplete strategy
% 0.46/0.57 % (6754)------------------------------
% 0.46/0.57 % (6754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.57 % (6754)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.57
% 0.46/0.57
% 0.46/0.57 % (6754)Memory used [KB]: 6140
% 0.46/0.57 % (6754)Time elapsed: 0.024 s
% 0.46/0.57 % (6754)Instructions burned: 39 (million)
% 0.46/0.57 % (6754)------------------------------
% 0.46/0.57 % (6754)------------------------------
% 0.46/0.57 % (6758)Instruction limit reached!
% 0.46/0.57 % (6758)------------------------------
% 0.46/0.57 % (6758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.57 % (6758)Termination reason: Unknown
% 0.46/0.57 % (6758)Termination phase: shuffling
% 0.46/0.57
% 0.46/0.57 % (6758)Memory used [KB]: 1535
% 0.46/0.57 % (6758)Time elapsed: 0.011 s
% 0.46/0.57 % (6758)Instructions burned: 16 (million)
% 0.46/0.57 % (6758)------------------------------
% 0.46/0.57 % (6758)------------------------------
% 0.46/0.57 % (6755)Instruction limit reached!
% 0.46/0.57 % (6755)------------------------------
% 0.46/0.57 % (6755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.57 % (6755)Termination reason: Unknown
% 0.46/0.57 % (6755)Termination phase: shuffling
% 0.46/0.57
% 0.46/0.57 % (6755)Memory used [KB]: 1535
% 0.46/0.57 % (6755)Time elapsed: 0.013 s
% 0.46/0.57 % (6755)Instructions burned: 19 (million)
% 0.46/0.57 % (6755)------------------------------
% 0.46/0.57 % (6755)------------------------------
% 0.46/0.57 % (6760)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 (2997ds/1041Mi)
% 0.46/0.57 % (6762)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2997ds/16Mi)
% 0.46/0.57 % (6757)Instruction limit reached!
% 0.46/0.57 % (6757)------------------------------
% 0.46/0.57 % (6757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.57 % (6757)Termination reason: Unknown
% 0.46/0.57 % (6757)Termination phase: Property scanning
% 0.46/0.57
% 0.46/0.57 % (6757)Memory used [KB]: 1663
% 0.46/0.57 % (6757)Time elapsed: 0.020 s
% 0.46/0.57 % (6757)Instructions burned: 37 (million)
% 0.46/0.57 % (6757)------------------------------
% 0.46/0.57 % (6757)------------------------------
% 0.46/0.58 % (6762)Instruction limit reached!
% 0.46/0.58 % (6762)------------------------------
% 0.46/0.58 % (6762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.58 % (6762)Termination reason: Unknown
% 0.46/0.58 % (6762)Termination phase: shuffling
% 0.46/0.58
% 0.46/0.58 % (6762)Memory used [KB]: 1535
% 0.46/0.58 % (6762)Time elapsed: 0.006 s
% 0.46/0.58 % (6762)Instructions burned: 16 (million)
% 0.46/0.58 % (6762)------------------------------
% 0.46/0.58 % (6762)------------------------------
% 0.46/0.58 % (6763)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 (2997ds/3Mi)
% 0.46/0.58 % (6765)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 0.46/0.58 % (6763)Instruction limit reached!
% 0.46/0.58 % (6763)------------------------------
% 0.46/0.58 % (6763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.58 % (6763)Termination reason: Unknown
% 0.46/0.58 % (6763)Termination phase: shuffling
% 0.46/0.58
% 0.46/0.58 % (6763)Memory used [KB]: 1279
% 0.46/0.58 % (6763)Time elapsed: 0.004 s
% 0.46/0.58 % (6763)Instructions burned: 3 (million)
% 0.46/0.58 % (6763)------------------------------
% 0.46/0.58 % (6763)------------------------------
% 0.46/0.58 % (6764)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 (2997ds/3Mi)
% 0.46/0.59 % (6764)Instruction limit reached!
% 0.46/0.59 % (6764)------------------------------
% 0.46/0.59 % (6764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.59 % (6764)Termination reason: Unknown
% 0.46/0.59 % (6764)Termination phase: shuffling
% 0.46/0.59
% 0.46/0.59 % (6764)Memory used [KB]: 1279
% 0.46/0.59 % (6764)Time elapsed: 0.004 s
% 0.46/0.59 % (6764)Instructions burned: 4 (million)
% 0.46/0.59 % (6764)------------------------------
% 0.46/0.59 % (6764)------------------------------
% 0.46/0.59 % (6765)Instruction limit reached!
% 0.46/0.59 % (6765)------------------------------
% 0.46/0.59 % (6765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.59 % (6765)Termination reason: Unknown
% 0.46/0.59 % (6765)Termination phase: shuffling
% 0.46/0.59
% 0.46/0.59 % (6765)Memory used [KB]: 1407
% 0.46/0.59 % (6765)Time elapsed: 0.006 s
% 0.46/0.59 % (6765)Instructions burned: 7 (million)
% 0.46/0.59 % (6765)------------------------------
% 0.46/0.59 % (6765)------------------------------
% 0.46/0.59 % (6767)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2997ds/4Mi)
% 0.46/0.59 % (6761)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 0.46/0.59 % (6767)Instruction limit reached!
% 0.46/0.59 % (6767)------------------------------
% 0.46/0.59 % (6767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.59 % (6767)Termination reason: Unknown
% 0.46/0.59 % (6767)Termination phase: shuffling
% 0.46/0.59
% 0.46/0.59 % (6767)Memory used [KB]: 1279
% 0.46/0.59 % (6767)Time elapsed: 0.003 s
% 0.46/0.59 % (6767)Instructions burned: 6 (million)
% 0.46/0.59 % (6767)------------------------------
% 0.46/0.59 % (6767)------------------------------
% 0.46/0.59 % (6766)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 (2997ds/3Mi)
% 0.46/0.59 % (6766)Instruction limit reached!
% 0.46/0.59 % (6766)------------------------------
% 0.46/0.59 % (6766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.59 % (6766)Termination reason: Unknown
% 0.46/0.59 % (6766)Termination phase: shuffling
% 0.46/0.59
% 0.46/0.59 % (6766)Memory used [KB]: 1279
% 0.46/0.59 % (6766)Time elapsed: 0.003 s
% 0.46/0.59 % (6766)Instructions burned: 3 (million)
% 0.46/0.59 % (6766)------------------------------
% 0.46/0.59 % (6766)------------------------------
% 0.46/0.59 % (6761)Instruction limit reached!
% 0.46/0.59 % (6761)------------------------------
% 0.46/0.59 % (6761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.59 % (6761)Termination reason: Unknown
% 0.46/0.59 % (6761)Termination phase: shuffling
% 0.46/0.59
% 0.46/0.59 % (6761)Memory used [KB]: 1407
% 0.46/0.59 % (6761)Time elapsed: 0.006 s
% 0.46/0.59 % (6761)Instructions burned: 7 (million)
% 0.46/0.59 % (6761)------------------------------
% 0.46/0.59 % (6761)------------------------------
% 0.46/0.60 % (6771)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 (2997ds/902Mi)
% 0.46/0.60 % (6768)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 (2997ds/18Mi)
% 0.46/0.60 % (6769)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2997ds/710Mi)
% 0.46/0.60 % (6770)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 0.46/0.60 % (6749)Instruction limit reached!
% 0.46/0.60 % (6749)------------------------------
% 0.46/0.60 % (6749)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.60 % (6749)Termination reason: Unknown
% 0.46/0.60 % (6749)Termination phase: Function definition elimination
% 0.46/0.60
% 0.46/0.60 % (6749)Memory used [KB]: 1918
% 0.46/0.60 % (6749)Time elapsed: 0.063 s
% 0.46/0.60 % (6749)Instructions burned: 183 (million)
% 0.46/0.60 % (6749)------------------------------
% 0.46/0.60 % (6749)------------------------------
% 0.46/0.60 % (6770)Instruction limit reached!
% 0.46/0.60 % (6770)------------------------------
% 0.46/0.60 % (6770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.60 % (6770)Termination reason: Unknown
% 0.46/0.60 % (6770)Termination phase: shuffling
% 0.46/0.60
% 0.46/0.60 % (6770)Memory used [KB]: 1407
% 0.46/0.60 % (6770)Time elapsed: 0.006 s
% 0.46/0.60 % (6770)Instructions burned: 7 (million)
% 0.46/0.60 % (6770)------------------------------
% 0.46/0.60 % (6770)------------------------------
% 0.46/0.61 % (6773)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2997ds/5Mi)
% 0.46/0.61 % (6772)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 (2997ds/21Mi)
% 0.46/0.61 % (6768)Instruction limit reached!
% 0.46/0.61 % (6768)------------------------------
% 0.46/0.61 % (6768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.61 % (6768)Termination reason: Unknown
% 0.46/0.61 % (6768)Termination phase: shuffling
% 0.46/0.61
% 0.46/0.61 % (6768)Memory used [KB]: 1535
% 0.46/0.61 % (6768)Time elapsed: 0.012 s
% 0.46/0.61 % (6768)Instructions burned: 18 (million)
% 0.46/0.61 % (6768)------------------------------
% 0.46/0.61 % (6768)------------------------------
% 0.46/0.61 % (6773)Instruction limit reached!
% 0.46/0.61 % (6773)------------------------------
% 0.46/0.61 % (6773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.61 % (6773)Termination reason: Unknown
% 0.46/0.61 % (6773)Termination phase: shuffling
% 0.46/0.61
% 0.46/0.61 % (6773)Memory used [KB]: 1407
% 0.46/0.61 % (6773)Time elapsed: 0.005 s
% 0.46/0.61 % (6773)Instructions burned: 6 (million)
% 0.46/0.61 % (6773)------------------------------
% 0.46/0.61 % (6773)------------------------------
% 0.46/0.61 % (6772)Instruction limit reached!
% 0.46/0.61 % (6772)------------------------------
% 0.46/0.61 % (6772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.61 % (6772)Termination reason: Unknown
% 0.46/0.61 % (6772)Termination phase: shuffling
% 0.46/0.61
% 0.46/0.61 % (6772)Memory used [KB]: 1535
% 0.46/0.61 % (6772)Time elapsed: 0.010 s
% 0.46/0.61 % (6772)Instructions burned: 22 (million)
% 0.46/0.61 % (6772)------------------------------
% 0.46/0.61 % (6772)------------------------------
% 0.46/0.62 % (6774)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 (2997ds/6Mi)
% 0.46/0.62 % (6777)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 (2997ds/19Mi)
% 0.46/0.62 % (6774)Instruction limit reached!
% 0.46/0.62 % (6774)------------------------------
% 0.46/0.62 % (6774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.62 % (6774)Termination reason: Unknown
% 0.46/0.62 % (6774)Termination phase: shuffling
% 0.46/0.62
% 0.46/0.62 % (6774)Memory used [KB]: 1407
% 0.46/0.62 % (6774)Time elapsed: 0.006 s
% 0.46/0.62 % (6774)Instructions burned: 7 (million)
% 0.46/0.62 % (6774)------------------------------
% 0.46/0.62 % (6774)------------------------------
% 0.46/0.62 % (6771)Refutation not found, incomplete strategy
% 0.46/0.62 % (6771)------------------------------
% 0.46/0.62 % (6771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.62 % (6771)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.62
% 0.46/0.62
% 0.46/0.62 % (6771)Memory used [KB]: 6396
% 0.46/0.62 % (6771)Time elapsed: 0.024 s
% 0.46/0.62 % (6771)Instructions burned: 74 (million)
% 0.46/0.62 % (6771)------------------------------
% 0.46/0.62 % (6771)------------------------------
% 0.46/0.62 % (6776)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 (2997ds/779Mi)
% 0.46/0.62 % (6778)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2997ds/879Mi)
% 0.46/0.62 % (6777)Instruction limit reached!
% 0.46/0.62 % (6777)------------------------------
% 0.46/0.62 % (6777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.62 % (6777)Termination reason: Unknown
% 0.46/0.62 % (6777)Termination phase: shuffling
% 0.46/0.62
% 0.46/0.62 % (6777)Memory used [KB]: 1663
% 0.46/0.62 % (6777)Time elapsed: 0.008 s
% 0.46/0.62 % (6777)Instructions burned: 21 (million)
% 0.46/0.62 % (6777)------------------------------
% 0.46/0.62 % (6777)------------------------------
% 0.46/0.63 % (6775)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2997ds/377Mi)
% 0.46/0.63 % (6780)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 0.46/0.63 % (6780)Instruction limit reached!
% 0.46/0.63 % (6780)------------------------------
% 0.46/0.63 % (6780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.46/0.63 % (6780)Termination reason: Unknown
% 0.46/0.63 % (6780)Termination phase: shuffling
% 0.46/0.63
% 0.46/0.63 % (6780)Memory used [KB]: 1279
% 0.46/0.63 % (6780)Time elapsed: 0.003 s
% 0.46/0.63 % (6780)Instructions burned: 4 (million)
% 0.46/0.63 % (6780)------------------------------
% 0.46/0.63 % (6780)------------------------------
% 0.46/0.63 % (6781)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2997ds/30Mi)
% 0.46/0.63 % (6779)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2997ds/17Mi)
% 0.96/0.64 % (6782)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 (2997ds/127Mi)
% 0.96/0.64 % (6779)Instruction limit reached!
% 0.96/0.64 % (6779)------------------------------
% 0.96/0.64 % (6779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.96/0.64 % (6779)Termination reason: Unknown
% 0.96/0.64 % (6779)Termination phase: shuffling
% 0.96/0.64
% 0.96/0.64 % (6779)Memory used [KB]: 1535
% 0.96/0.64 % (6779)Time elapsed: 0.011 s
% 0.96/0.64 % (6779)Instructions burned: 19 (million)
% 0.96/0.64 % (6779)------------------------------
% 0.96/0.64 % (6779)------------------------------
% 0.96/0.65 % (6781)Instruction limit reached!
% 0.96/0.65 % (6781)------------------------------
% 0.96/0.65 % (6781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.96/0.65 % (6781)Termination reason: Unknown
% 0.96/0.65 % (6781)Termination phase: Property scanning
% 0.96/0.65
% 0.96/0.65 % (6781)Memory used [KB]: 1535
% 0.96/0.65 % (6781)Time elapsed: 0.014 s
% 0.96/0.65 % (6781)Instructions burned: 32 (million)
% 0.96/0.65 % (6781)------------------------------
% 0.96/0.65 % (6781)------------------------------
% 0.96/0.65 % (6783)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)
% 0.96/0.65 % (6784)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)
% 0.96/0.66 % (6784)Instruction limit reached!
% 0.96/0.66 % (6784)------------------------------
% 0.96/0.66 % (6784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.96/0.66 % (6784)Termination reason: Unknown
% 0.96/0.66 % (6784)Termination phase: shuffling
% 0.96/0.66
% 0.96/0.66 % (6784)Memory used [KB]: 1407
% 0.96/0.66 % (6784)Time elapsed: 0.003 s
% 0.96/0.66 % (6784)Instructions burned: 6 (million)
% 0.96/0.66 % (6784)------------------------------
% 0.96/0.66 % (6784)------------------------------
% 0.96/0.67 % (6785)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)
% 0.96/0.67 % (6785)Instruction limit reached!
% 0.96/0.67 % (6785)------------------------------
% 0.96/0.67 % (6785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.96/0.67 % (6785)Termination reason: Unknown
% 0.96/0.67 % (6785)Termination phase: shuffling
% 0.96/0.67
% 0.96/0.67 % (6785)Memory used [KB]: 1535
% 0.96/0.67 % (6785)Time elapsed: 0.009 s
% 0.96/0.67 % (6785)Instructions burned: 20 (million)
% 0.96/0.67 % (6785)------------------------------
% 0.96/0.67 % (6785)------------------------------
% 1.03/0.68 % (6782)Instruction limit reached!
% 1.03/0.68 % (6782)------------------------------
% 1.03/0.68 % (6782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.03/0.68 % (6782)Termination reason: Unknown
% 1.03/0.68 % (6782)Termination phase: Function definition elimination
% 1.03/0.68
% 1.03/0.68 % (6782)Memory used [KB]: 1791
% 1.03/0.68 % (6782)Time elapsed: 0.035 s
% 1.03/0.68 % (6782)Instructions burned: 133 (million)
% 1.03/0.68 % (6782)------------------------------
% 1.03/0.68 % (6782)------------------------------
% 1.03/0.68 % (6783)Instruction limit reached!
% 1.03/0.68 % (6783)------------------------------
% 1.03/0.68 % (6783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.03/0.68 % (6783)Termination reason: Unknown
% 1.03/0.68 % (6783)Termination phase: Function definition elimination
% 1.03/0.68
% 1.03/0.68 % (6783)Memory used [KB]: 1918
% 1.03/0.68 % (6783)Time elapsed: 0.025 s
% 1.03/0.68 % (6783)Instructions burned: 100 (million)
% 1.03/0.68 % (6783)------------------------------
% 1.03/0.68 % (6783)------------------------------
% 1.03/0.68 % (6786)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 (2996ds/86Mi)
% 1.03/0.68 % (6787)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 (2996ds/107Mi)
% 1.03/0.69 % (6788)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 (2996ds/39Mi)
% 1.03/0.70 % (6788)Instruction limit reached!
% 1.03/0.70 % (6788)------------------------------
% 1.03/0.70 % (6788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.03/0.70 % (6788)Termination reason: Unknown
% 1.03/0.70 % (6788)Termination phase: Property scanning
% 1.03/0.70
% 1.03/0.70 % (6788)Memory used [KB]: 1663
% 1.03/0.70 % (6788)Time elapsed: 0.014 s
% 1.03/0.70 % (6788)Instructions burned: 40 (million)
% 1.03/0.70 % (6788)------------------------------
% 1.03/0.70 % (6788)------------------------------
% 1.03/0.71 % (6786)Instruction limit reached!
% 1.03/0.71 % (6786)------------------------------
% 1.03/0.71 % (6786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.03/0.71 % (6786)Termination reason: Unknown
% 1.03/0.71 % (6786)Termination phase: Function definition elimination
% 1.03/0.71
% 1.03/0.71 % (6786)Memory used [KB]: 1791
% 1.03/0.71 % (6786)Time elapsed: 0.025 s
% 1.03/0.71 % (6786)Instructions burned: 86 (million)
% 1.03/0.71 % (6786)------------------------------
% 1.03/0.71 % (6786)------------------------------
% 1.03/0.71 % (6789)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 (2996ds/448Mi)
% 1.03/0.71 % (6775)Instruction limit reached!
% 1.03/0.71 % (6775)------------------------------
% 1.03/0.71 % (6775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.03/0.71 % (6775)Termination reason: Unknown
% 1.03/0.71 % (6775)Termination phase: Property scanning
% 1.03/0.71
% 1.03/0.71 % (6775)Memory used [KB]: 1918
% 1.03/0.71 % (6775)Time elapsed: 0.083 s
% 1.03/0.71 % (6775)Instructions burned: 377 (million)
% 1.03/0.71 % (6775)------------------------------
% 1.03/0.71 % (6775)------------------------------
% 1.03/0.72 % (6790)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)
% 1.03/0.72 % (6791)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)
% 1.03/0.72 % (6787)Instruction limit reached!
% 1.03/0.72 % (6787)------------------------------
% 1.03/0.72 % (6787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.03/0.72 % (6787)Termination reason: Unknown
% 1.03/0.72 % (6787)Termination phase: Saturation
% 1.03/0.72
% 1.03/0.72 % (6787)Memory used [KB]: 6396
% 1.03/0.72 % (6787)Time elapsed: 0.035 s
% 1.03/0.72 % (6787)Instructions burned: 107 (million)
% 1.03/0.72 % (6787)------------------------------
% 1.03/0.72 % (6787)------------------------------
% 1.03/0.73 % (6792)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)
% 1.03/0.73 % (6790)Instruction limit reached!
% 1.03/0.73 % (6790)------------------------------
% 1.03/0.73 % (6790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.03/0.73 % (6790)Termination reason: Unknown
% 1.03/0.73 % (6790)Termination phase: Property scanning
% 1.03/0.73
% 1.03/0.73 % (6790)Memory used [KB]: 1663
% 1.03/0.73 % (6790)Time elapsed: 0.016 s
% 1.03/0.73 % (6790)Instructions burned: 49 (million)
% 1.03/0.73 % (6790)------------------------------
% 1.03/0.73 % (6790)------------------------------
% 1.33/0.74 % (6791)Instruction limit reached!
% 1.33/0.74 % (6791)------------------------------
% 1.33/0.74 % (6791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.74 % (6791)Termination reason: Unknown
% 1.33/0.74 % (6791)Termination phase: Function definition elimination
% 1.33/0.74
% 1.33/0.74 % (6791)Memory used [KB]: 1918
% 1.33/0.74 % (6791)Time elapsed: 0.024 s
% 1.33/0.74 % (6791)Instructions burned: 100 (million)
% 1.33/0.74 % (6791)------------------------------
% 1.33/0.74 % (6791)------------------------------
% 1.33/0.74 % (6793)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)
% 1.33/0.75 % (6794)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 1.36/0.76 % (6794)Instruction limit reached!
% 1.36/0.76 % (6794)------------------------------
% 1.36/0.76 % (6794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.76 % (6794)Termination reason: Unknown
% 1.36/0.76 % (6794)Termination phase: Property scanning
% 1.36/0.76
% 1.36/0.76 % (6794)Memory used [KB]: 1791
% 1.36/0.76 % (6794)Time elapsed: 0.014 s
% 1.36/0.76 % (6794)Instructions burned: 42 (million)
% 1.36/0.76 % (6794)------------------------------
% 1.36/0.76 % (6794)------------------------------
% 1.36/0.77 % (6795)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 (2995ds/6Mi)
% 1.36/0.77 % (6795)Instruction limit reached!
% 1.36/0.77 % (6795)------------------------------
% 1.36/0.77 % (6795)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.77 % (6795)Termination reason: Unknown
% 1.36/0.77 % (6795)Termination phase: shuffling
% 1.36/0.77
% 1.36/0.77 % (6795)Memory used [KB]: 1407
% 1.36/0.77 % (6795)Time elapsed: 0.003 s
% 1.36/0.77 % (6795)Instructions burned: 6 (million)
% 1.36/0.77 % (6795)------------------------------
% 1.36/0.77 % (6795)------------------------------
% 1.36/0.78 % (6793)Instruction limit reached!
% 1.36/0.78 % (6793)------------------------------
% 1.36/0.78 % (6793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.78 % (6793)Termination reason: Unknown
% 1.36/0.78 % (6793)Termination phase: Function definition elimination
% 1.36/0.78
% 1.36/0.78 % (6793)Memory used [KB]: 1918
% 1.36/0.78 % (6793)Time elapsed: 0.035 s
% 1.36/0.78 % (6793)Instructions burned: 149 (million)
% 1.36/0.78 % (6793)------------------------------
% 1.36/0.78 % (6793)------------------------------
% 1.36/0.78 % (6796)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2995ds/1087Mi)
% 1.36/0.79 % (6797)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2995ds/47Mi)
% 1.36/0.79 % (6778)First to succeed.
% 1.36/0.79 % (6778)Refutation found. Thanks to Tanya!
% 1.36/0.79 % SZS status Theorem for theBenchmark
% 1.36/0.79 % SZS output start Proof for theBenchmark
% 1.36/0.79 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 1.36/0.79 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 1.36/0.79 thf(func_def_3, type, eps: ($i > $o) > $i).
% 1.36/0.79 thf(func_def_4, type, in: $i > $i > $o).
% 1.36/0.79 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 1.36/0.79 thf(func_def_7, type, union: $i > $i).
% 1.36/0.79 thf(func_def_8, type, power: $i > $i).
% 1.36/0.79 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 1.36/0.79 thf(func_def_10, type, d_Union_closed: $i > $o).
% 1.36/0.79 thf(func_def_11, type, d_Power_closed: $i > $o).
% 1.36/0.79 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 1.36/0.79 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 1.36/0.79 thf(func_def_14, type, univof: $i > $i).
% 1.36/0.79 thf(func_def_15, type, if: $o > $i > $i > $i).
% 1.36/0.79 thf(func_def_16, type, nIn: $i > $i > $o).
% 1.36/0.79 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 1.36/0.79 thf(func_def_18, type, d_Sing: $i > $i).
% 1.36/0.79 thf(func_def_19, type, binunion: $i > $i > $i).
% 1.36/0.79 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 1.36/0.79 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 1.36/0.79 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 1.36/0.79 thf(func_def_23, type, setminus: $i > $i > $i).
% 1.36/0.79 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 1.36/0.79 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 1.36/0.79 thf(func_def_26, type, ordsucc: $i > $i).
% 1.36/0.79 thf(func_def_27, type, nat_p: $i > $o).
% 1.36/0.79 thf(func_def_29, type, d_Inj1: $i > $i).
% 1.36/0.79 thf(func_def_30, type, d_Inj0: $i > $i).
% 1.36/0.79 thf(func_def_31, type, d_Unj: $i > $i).
% 1.36/0.79 thf(func_def_32, type, pair: $i > $i > $i).
% 1.36/0.79 thf(func_def_33, type, proj0: $i > $i).
% 1.36/0.79 thf(func_def_34, type, proj1: $i > $i).
% 1.36/0.79 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 1.36/0.79 thf(func_def_36, type, setprod: $i > $i > $i).
% 1.36/0.79 thf(func_def_37, type, ap: $i > $i > $i).
% 1.36/0.79 thf(func_def_38, type, pair_p: $i > $o).
% 1.36/0.79 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 1.36/0.79 thf(func_def_40, type, imp: $o > $o > $o).
% 1.36/0.79 thf(func_def_41, type, d_not: $o > $o).
% 1.36/0.79 thf(func_def_42, type, wel: $o > $o).
% 1.36/0.79 thf(func_def_44, type, l_ec: $o > $o > $o).
% 1.36/0.79 thf(func_def_45, type, d_and: $o > $o > $o).
% 1.36/0.79 thf(func_def_46, type, l_or: $o > $o > $o).
% 1.36/0.79 thf(func_def_47, type, orec: $o > $o > $o).
% 1.36/0.79 thf(func_def_48, type, l_iff: $o > $o > $o).
% 1.36/0.79 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 1.36/0.79 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 1.36/0.79 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 1.36/0.79 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 1.36/0.79 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 1.36/0.79 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 1.36/0.79 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 1.36/0.79 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 1.36/0.79 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 1.36/0.79 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 1.36/0.79 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 1.36/0.79 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 1.36/0.79 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 1.36/0.79 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 1.36/0.79 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 1.36/0.79 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 1.36/0.79 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 1.36/0.79 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_72, type, first: $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_73, type, second: $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 1.36/0.79 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_80, type, r_ec: $o > $o > $o).
% 1.36/0.79 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 1.36/0.79 thf(func_def_82, type, empty: $i > $i > $o).
% 1.36/0.79 thf(func_def_83, type, nonempty: $i > $i > $o).
% 1.36/0.79 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 1.36/0.79 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 1.36/0.79 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 1.36/0.79 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 1.36/0.79 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 1.36/0.79 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 1.36/0.79 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 1.36/0.79 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 1.36/0.79 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 1.36/0.79 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 1.36/0.79 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 1.36/0.79 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 1.36/0.79 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 1.36/0.79 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 1.36/0.79 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_103, type, n_is: $i > $i > $o).
% 1.36/0.79 thf(func_def_104, type, nis: $i > $i > $o).
% 1.36/0.79 thf(func_def_105, type, n_in: $i > $i > $o).
% 1.36/0.79 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 1.36/0.79 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 1.36/0.79 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 1.36/0.79 thf(func_def_110, type, cond1: $i > $o).
% 1.36/0.79 thf(func_def_111, type, cond2: $i > $o).
% 1.36/0.79 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 1.36/0.79 thf(func_def_113, type, d_22_prop1: $i > $o).
% 1.36/0.79 thf(func_def_114, type, d_23_prop1: $i > $o).
% 1.36/0.79 thf(func_def_115, type, d_24_prop1: $i > $o).
% 1.36/0.79 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 1.36/0.79 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 1.36/0.79 thf(func_def_118, type, prop4: $i > $o).
% 1.36/0.79 thf(func_def_119, type, d_24_g: $i > $i).
% 1.36/0.79 thf(func_def_120, type, plus: $i > $i).
% 1.36/0.79 thf(func_def_121, type, n_pl: $i > $i > $i).
% 1.36/0.79 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 1.36/0.79 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 1.36/0.79 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 1.36/0.79 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 1.36/0.79 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 1.36/0.79 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 1.36/0.79 thf(func_def_128, type, iii: $i > $i > $o).
% 1.36/0.79 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 1.36/0.79 thf(func_def_130, type, moreis: $i > $i > $o).
% 1.36/0.79 thf(func_def_131, type, lessis: $i > $i > $o).
% 1.36/0.79 thf(func_def_150, type, sK0: ($i > $o) > $i).
% 1.36/0.79 thf(func_def_154, type, sK4: $i > $i > $i > $i > $i).
% 1.36/0.79 thf(func_def_155, type, ph5: !>[X0: $tType]:(X0)).
% 1.36/0.79 thf(f2848,plain,(
% 1.36/0.79 $false),
% 1.36/0.79 inference(trivial_inequality_removal,[],[f2847])).
% 1.36/0.79 thf(f2847,plain,(
% 1.36/0.79 ($true = $false)),
% 1.36/0.79 inference(forward_demodulation,[],[f2846,f783])).
% 1.36/0.79 thf(f783,plain,(
% 1.36/0.79 ((n_is @ sK2 @ sK3) = $false)),
% 1.36/0.79 inference(binary_proxy_clausification,[],[f782])).
% 1.36/0.79 thf(f782,plain,(
% 1.36/0.79 (((~ (d_29_ii @ sK2 @ sK3)) => (n_is @ sK2 @ sK3)) = $false)),
% 1.36/0.79 inference(not_proxy_clausification,[],[f781])).
% 1.36/0.79 thf(f781,plain,(
% 1.36/0.79 ($true = (~ ((~ (d_29_ii @ sK2 @ sK3)) => (n_is @ sK2 @ sK3))))),
% 1.36/0.79 inference(binary_proxy_clausification,[],[f778])).
% 1.36/0.79 thf(f778,plain,(
% 1.36/0.79 (((~ ((~ (d_29_ii @ sK2 @ sK3)) => (n_is @ sK2 @ sK3))) => (n_some @ (diffprop @ sK3 @ sK2))) = $false)),
% 1.36/0.79 inference(binary_proxy_clausification,[],[f777])).
% 1.36/0.79 thf(f777,plain,(
% 1.36/0.79 (((is_of @ sK3 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => ((~ ((~ (d_29_ii @ sK2 @ sK3)) => (n_is @ sK2 @ sK3))) => (n_some @ (diffprop @ sK3 @ sK2)))) = $false)),
% 1.36/0.79 inference(beta_eta_normalization,[],[f776])).
% 1.36/0.79 thf(f776,plain,(
% 1.36/0.79 (((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ ((~ (d_29_ii @ sK2 @ Y0)) => (n_is @ sK2 @ Y0))) => (n_some @ (diffprop @ Y0 @ sK2))))) @ sK3) = $false)),
% 1.36/0.79 inference(sigma_clausification,[],[f774])).
% 1.36/0.79 thf(f774,plain,(
% 1.36/0.79 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ ((~ (d_29_ii @ sK2 @ Y0)) => (n_is @ sK2 @ Y0))) => (n_some @ (diffprop @ Y0 @ sK2)))))) = $false)),
% 1.36/0.79 inference(binary_proxy_clausification,[],[f773])).
% 1.36/0.79 thf(f773,plain,(
% 1.36/0.79 (((is_of @ sK2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ ((~ (d_29_ii @ sK2 @ Y0)) => (n_is @ sK2 @ Y0))) => (n_some @ (diffprop @ Y0 @ sK2))))))) = $false)),
% 1.36/0.79 inference(beta_eta_normalization,[],[f772])).
% 1.36/0.79 thf(f772,plain,(
% 1.36/0.79 (((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ ((~ (d_29_ii @ Y0 @ Y1)) => (n_is @ Y0 @ Y1))) => (n_some @ (diffprop @ Y1 @ Y0)))))))) @ sK2) = $false)),
% 1.36/0.79 inference(sigma_clausification,[],[f771])).
% 1.36/0.79 thf(f771,plain,(
% 1.36/0.79 ($true != (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ ((~ (d_29_ii @ Y0 @ Y1)) => (n_is @ Y0 @ Y1))) => (n_some @ (diffprop @ Y1 @ Y0))))))))))),
% 1.36/0.79 inference(boolean_simplification,[],[f770])).
% 1.36/0.79 thf(f770,plain,(
% 1.36/0.79 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ (((d_29_ii @ Y0 @ Y1) => $false) => (n_is @ Y0 @ Y1))) => (n_some @ (diffprop @ Y1 @ Y0))))))))) != $true)),
% 1.36/0.79 inference(boolean_simplification,[],[f769])).
% 1.36/0.79 thf(f769,plain,(
% 1.36/0.79 ($true != (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => (((((d_29_ii @ Y0 @ Y1) => $false) => (n_is @ Y0 @ Y1)) => $false) => (n_some @ (diffprop @ Y1 @ Y0))))))))))),
% 1.36/0.79 inference(beta_eta_normalization,[],[f660])).
% 1.36/0.79 thf(f660,plain,(
% 1.36/0.79 ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ Y2 @ $false)) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ Y5 @ $false)) @ Y4))) @ (d_29_ii @ Y2 @ Y3) @ (n_is @ Y2 @ Y3))))) @ Y0 @ Y1)) => ((^[Y2 : $i]: ((^[Y3 : $i]: (n_some @ (diffprop @ Y3 @ Y2))))) @ Y0 @ Y1)))))))),
% 1.36/0.79 inference(definition_unfolding,[],[f614,f579,f579,f619,f621,f607])).
% 1.36/0.79 thf(f607,plain,(
% 1.36/0.79 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))),
% 1.36/0.79 inference(cnf_transformation,[],[f470])).
% 1.36/0.79 thf(f470,plain,(
% 1.36/0.79 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))),
% 1.36/0.79 inference(fool_elimination,[],[f206])).
% 1.36/0.79 thf(f206,axiom,(
% 1.36/0.79 ((^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X1 @ X0))) = iii)),
% 1.36/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_iii)).
% 1.36/0.79 thf(f621,plain,(
% 1.36/0.79 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: (Y4 => Y5)))) @ Y3 @ $false)) @ Y2))) @ (d_29_ii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 1.36/0.79 inference(definition_unfolding,[],[f587,f620])).
% 1.36/0.79 thf(f620,plain,(
% 1.36/0.79 (l_or = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: (Y2 => Y3)))) @ Y1 @ $false)) @ Y0))))),
% 1.36/0.79 inference(definition_unfolding,[],[f600,f610,f619])).
% 1.36/0.79 thf(f610,plain,(
% 1.36/0.79 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 1.36/0.79 inference(cnf_transformation,[],[f300])).
% 1.36/0.79 thf(f300,plain,(
% 1.36/0.79 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 1.36/0.79 inference(fool_elimination,[],[f299])).
% 1.36/0.79 thf(f299,plain,(
% 1.36/0.79 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))),
% 1.36/0.79 inference(rectify,[],[f74])).
% 1.36/0.79 thf(f74,axiom,(
% 1.36/0.79 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))),
% 1.36/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_imp)).
% 1.36/0.79 thf(f600,plain,(
% 1.36/0.79 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 1.36/0.79 inference(cnf_transformation,[],[f424])).
% 1.36/0.79 thf(f424,plain,(
% 1.36/0.79 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 1.36/0.79 inference(fool_elimination,[],[f81])).
% 1.36/0.79 thf(f81,axiom,(
% 1.36/0.79 ((^[X0 : $o] : (imp @ (d_not @ X0))) = l_or)),
% 1.36/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_l_or)).
% 1.36/0.79 thf(f587,plain,(
% 1.36/0.79 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (d_29_ii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 1.36/0.79 inference(cnf_transformation,[],[f440])).
% 1.36/0.79 thf(f440,plain,(
% 1.36/0.79 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (d_29_ii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 1.36/0.79 inference(fool_elimination,[],[f216])).
% 1.36/0.79 thf(f216,axiom,(
% 1.36/0.79 (moreis = (^[X0 : $i, X1 : $i] : (l_or @ (d_29_ii @ X0 @ X1) @ (n_is @ X0 @ X1))))),
% 1.36/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_moreis)).
% 1.36/0.79 thf(f619,plain,(
% 1.36/0.79 (d_not = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ Y0 @ $false)))),
% 1.36/0.79 inference(definition_unfolding,[],[f585,f610])).
% 1.36/0.79 thf(f585,plain,(
% 1.36/0.79 (d_not = (^[Y0 : $o]: (imp @ Y0 @ $false)))),
% 1.36/0.79 inference(cnf_transformation,[],[f256])).
% 1.36/0.79 thf(f256,plain,(
% 1.36/0.79 (d_not = (^[Y0 : $o]: (imp @ Y0 @ $false)))),
% 1.36/0.79 inference(fool_elimination,[],[f75])).
% 1.36/0.79 thf(f75,axiom,(
% 1.36/0.79 ((^[X0 : $o] : (imp @ X0 @ $false)) = d_not)),
% 1.36/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_d_not)).
% 1.36/0.79 thf(f579,plain,(
% 1.36/0.79 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.36/0.79 inference(cnf_transformation,[],[f280])).
% 1.36/0.79 thf(f280,plain,(
% 1.36/0.79 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.36/0.79 inference(fool_elimination,[],[f279])).
% 1.36/0.79 thf(f279,plain,(
% 1.36/0.79 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 1.36/0.79 inference(rectify,[],[f2])).
% 1.36/0.79 thf(f2,axiom,(
% 1.36/0.79 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 1.36/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_all_of)).
% 1.36/0.79 thf(f614,plain,(
% 1.36/0.79 ($true != (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (moreis @ Y0 @ Y1)) => (iii @ Y0 @ Y1)))))))),
% 1.36/0.79 inference(cnf_transformation,[],[f558])).
% 1.36/0.79 thf(f558,plain,(
% 1.36/0.79 ($true != (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (moreis @ Y0 @ Y1)) => (iii @ Y0 @ Y1)))))))),
% 1.36/0.79 inference(flattening,[],[f345])).
% 1.36/0.79 thf(f345,plain,(
% 1.36/0.79 ~($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (moreis @ Y0 @ Y1)) => (iii @ Y0 @ Y1)))))))),
% 1.36/0.79 inference(fool_elimination,[],[f344])).
% 1.36/0.79 thf(f344,plain,(
% 1.36/0.79 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_not @ (moreis @ X1 @ X3)) => (iii @ X1 @ X3))))))),
% 1.36/0.79 inference(rectify,[],[f227])).
% 1.36/0.79 thf(f227,negated_conjecture,(
% 1.36/0.79 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (moreis @ X0 @ X1)) => (iii @ X0 @ X1))))))),
% 1.36/0.79 inference(negated_conjecture,[],[f226])).
% 1.36/0.79 thf(f226,conjecture,(
% 1.36/0.79 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (moreis @ X0 @ X1)) => (iii @ X0 @ X1))))))),
% 1.36/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10j)).
% 1.36/0.79 thf(f2846,plain,(
% 1.36/0.79 ((n_is @ sK2 @ sK3) = $true)),
% 1.36/0.79 inference(trivial_inequality_removal,[],[f2845])).
% 1.36/0.79 thf(f2845,plain,(
% 1.36/0.79 ((n_is @ sK2 @ sK3) = $true) | ($true = $false)),
% 1.36/0.79 inference(forward_demodulation,[],[f2844,f780])).
% 1.36/0.79 thf(f780,plain,(
% 1.36/0.79 ((n_some @ (diffprop @ sK3 @ sK2)) = $false)),
% 1.36/0.79 inference(binary_proxy_clausification,[],[f778])).
% 1.36/0.79 thf(f2844,plain,(
% 1.36/0.79 ((n_some @ (diffprop @ sK3 @ sK2)) = $true) | ((n_is @ sK2 @ sK3) = $true)),
% 1.36/0.79 inference(trivial_inequality_removal,[],[f2843])).
% 1.36/0.79 thf(f2843,plain,(
% 1.36/0.79 ((n_is @ sK2 @ sK3) = $true) | ($true = $false) | ((n_some @ (diffprop @ sK3 @ sK2)) = $true)),
% 1.36/0.79 inference(forward_demodulation,[],[f2834,f785])).
% 1.36/0.79 thf(f785,plain,(
% 1.36/0.79 ((d_29_ii @ sK2 @ sK3) = $false)),
% 1.36/0.79 inference(not_proxy_clausification,[],[f784])).
% 1.36/0.79 thf(f784,plain,(
% 1.36/0.79 ($true = (~ (d_29_ii @ sK2 @ sK3)))),
% 1.36/0.79 inference(binary_proxy_clausification,[],[f782])).
% 1.36/0.79 thf(f2834,plain,(
% 1.36/0.79 ((d_29_ii @ sK2 @ sK3) = $true) | ((n_is @ sK2 @ sK3) = $true) | ((n_some @ (diffprop @ sK3 @ sK2)) = $true)),
% 1.36/0.79 inference(trivial_inequality_removal,[],[f2828])).
% 1.36/0.79 thf(f2828,plain,(
% 1.36/0.79 ((n_is @ sK2 @ sK3) = $true) | ((d_29_ii @ sK2 @ sK3) = $true) | ((n_some @ (diffprop @ sK3 @ sK2)) = $true) | ($true = $false)),
% 1.36/0.79 inference(superposition,[],[f1283,f775])).
% 1.36/0.79 thf(f775,plain,(
% 1.36/0.79 ((is_of @ sK2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $true)),
% 1.36/0.79 inference(binary_proxy_clausification,[],[f773])).
% 1.36/0.79 thf(f1283,plain,(
% 1.36/0.79 ( ! [X0 : $i] : (((is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = (n_is @ X0 @ sK3)) | ((d_29_ii @ X0 @ sK3) = $true) | ($true = (n_some @ (diffprop @ sK3 @ X0)))) )),
% 1.36/0.79 inference(trivial_inequality_removal,[],[f1277])).
% 1.36/0.79 thf(f1277,plain,(
% 1.36/0.79 ( ! [X0 : $i] : (($true = (n_is @ X0 @ sK3)) | ($true = $false) | ($true = (n_some @ (diffprop @ sK3 @ X0))) | ((d_29_ii @ X0 @ sK3) = $true) | ((is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 1.36/0.79 inference(superposition,[],[f825,f779])).
% 1.36/0.79 thf(f779,plain,(
% 1.36/0.79 ((is_of @ sK3 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $true)),
% 1.36/0.79 inference(binary_proxy_clausification,[],[f777])).
% 1.36/0.79 thf(f825,plain,(
% 1.36/0.79 ( ! [X2 : $i,X1 : $i] : (((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = (n_some @ (diffprop @ X2 @ X1))) | ($true = (d_29_ii @ X1 @ X2)) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((n_is @ X1 @ X2) = $true)) )),
% 1.36/0.79 inference(not_proxy_clausification,[],[f824])).
% 1.36/0.79 thf(f824,plain,(
% 1.36/0.79 ( ! [X2 : $i,X1 : $i] : (($true = (d_29_ii @ X1 @ X2)) | ((~ (n_some @ (diffprop @ X2 @ X1))) = $false) | ((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((n_is @ X1 @ X2) = $true)) )),
% 1.36/0.79 inference(binary_proxy_clausification,[],[f823])).
% 1.36/0.79 thf(f823,plain,(
% 1.36/0.79 ( ! [X2 : $i,X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | (((~ (n_some @ (diffprop @ X2 @ X1))) => (n_is @ X1 @ X2)) = $true) | ($true = (d_29_ii @ X1 @ X2)) | ((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 1.36/0.79 inference(not_proxy_clausification,[],[f822])).
% 1.36/0.79 thf(f822,plain,(
% 1.36/0.79 ( ! [X2 : $i,X1 : $i] : (((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((~ (d_29_ii @ X1 @ X2)) = $false) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | (((~ (n_some @ (diffprop @ X2 @ X1))) => (n_is @ X1 @ X2)) = $true)) )),
% 1.36/0.79 inference(binary_proxy_clausification,[],[f821])).
% 1.36/0.79 thf(f821,plain,(
% 1.36/0.79 ( ! [X2 : $i,X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = ((~ (d_29_ii @ X1 @ X2)) => ((~ (n_some @ (diffprop @ X2 @ X1))) => (n_is @ X1 @ X2))))) )),
% 1.36/0.79 inference(binary_proxy_clausification,[],[f820])).
% 1.36/0.79 thf(f820,plain,(
% 1.36/0.79 ( ! [X2 : $i,X1 : $i] : ((((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => ((~ (d_29_ii @ X1 @ X2)) => ((~ (n_some @ (diffprop @ X2 @ X1))) => (n_is @ X1 @ X2)))) = $true) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 1.36/0.79 inference(beta_eta_normalization,[],[f819])).
% 1.36/0.79 thf(f819,plain,(
% 1.36/0.79 ( ! [X2 : $i,X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ (d_29_ii @ X1 @ Y0)) => ((~ (n_some @ (diffprop @ Y0 @ X1))) => (n_is @ X1 @ Y0))))) @ X2))) )),
% 1.36/0.79 inference(pi_clausification,[],[f818])).
% 1.36/0.79 thf(f818,plain,(
% 1.36/0.79 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ (d_29_ii @ X1 @ Y0)) => ((~ (n_some @ (diffprop @ Y0 @ X1))) => (n_is @ X1 @ Y0))))))) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 1.36/0.79 inference(binary_proxy_clausification,[],[f817])).
% 1.36/0.79 thf(f817,plain,(
% 1.36/0.79 ( ! [X1 : $i] : ((((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ (d_29_ii @ X1 @ Y0)) => ((~ (n_some @ (diffprop @ Y0 @ X1))) => (n_is @ X1 @ Y0))))))) = $true)) )),
% 1.36/0.79 inference(beta_eta_normalization,[],[f816])).
% 1.36/0.79 thf(f816,plain,(
% 1.36/0.79 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ (d_29_ii @ Y0 @ Y1)) => ((~ (n_some @ (diffprop @ Y1 @ Y0))) => (n_is @ Y0 @ Y1)))))))) @ X1) = $true)) )),
% 1.36/0.79 inference(pi_clausification,[],[f815])).
% 1.36/0.79 thf(f815,plain,(
% 1.36/0.79 ($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ (d_29_ii @ Y0 @ Y1)) => ((~ (n_some @ (diffprop @ Y1 @ Y0))) => (n_is @ Y0 @ Y1))))))))))),
% 1.36/0.79 inference(boolean_simplification,[],[f814])).
% 1.36/0.79 thf(f814,plain,(
% 1.36/0.79 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => (((d_29_ii @ Y0 @ Y1) => $false) => ((~ (n_some @ (diffprop @ Y1 @ Y0))) => (n_is @ Y0 @ Y1))))))))) = $true)),
% 1.36/0.79 inference(boolean_simplification,[],[f813])).
% 1.36/0.79 thf(f813,plain,(
% 1.36/0.79 ($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => (((d_29_ii @ Y0 @ Y1) => $false) => (((n_some @ (diffprop @ Y1 @ Y0)) => $false) => (n_is @ Y0 @ Y1))))))))))),
% 1.36/0.79 inference(beta_eta_normalization,[],[f649])).
% 1.36/0.79 thf(f649,plain,(
% 1.36/0.79 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ Y2 @ $false)) @ (d_29_ii @ Y0 @ Y1)) => ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ Y5 @ $false)) @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (n_some @ (diffprop @ Y5 @ Y4))))) @ Y2 @ Y3) @ (n_is @ Y2 @ Y3))))) @ Y0 @ Y1)))))))),
% 1.36/0.79 inference(definition_unfolding,[],[f586,f579,f579,f619,f622])).
% 1.36/0.79 thf(f622,plain,(
% 1.36/0.79 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: (Y4 => Y5)))) @ Y3 @ $false)) @ Y2))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (n_some @ (diffprop @ Y3 @ Y2))))) @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 1.36/0.79 inference(definition_unfolding,[],[f564,f620,f607])).
% 1.36/0.79 thf(f564,plain,(
% 1.36/0.79 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 1.36/0.79 inference(cnf_transformation,[],[f260])).
% 1.36/0.79 thf(f260,plain,(
% 1.36/0.79 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 1.36/0.79 inference(fool_elimination,[],[f217])).
% 1.36/0.79 thf(f217,axiom,(
% 1.36/0.79 (lessis = (^[X0 : $i, X1 : $i] : (l_or @ (iii @ X0 @ X1) @ (n_is @ X0 @ X1))))),
% 1.36/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_lessis)).
% 1.36/0.79 thf(f586,plain,(
% 1.36/0.79 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (d_29_ii @ Y0 @ Y1)) => (lessis @ Y0 @ Y1)))))) = $true)),
% 1.36/0.79 inference(cnf_transformation,[],[f313])).
% 1.36/0.79 thf(f313,plain,(
% 1.36/0.79 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (d_29_ii @ Y0 @ Y1)) => (lessis @ Y0 @ Y1)))))) = $true)),
% 1.36/0.79 inference(fool_elimination,[],[f312])).
% 1.36/0.79 thf(f312,plain,(
% 1.36/0.79 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_not @ (d_29_ii @ X1 @ X3)) => (lessis @ X1 @ X3))))))),
% 1.36/0.79 inference(rectify,[],[f222])).
% 1.36/0.79 thf(f222,axiom,(
% 1.36/0.79 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (d_29_ii @ X0 @ X1)) => (lessis @ X0 @ X1))))))),
% 1.36/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10e)).
% 1.36/0.79 % SZS output end Proof for theBenchmark
% 1.36/0.79 % (6778)------------------------------
% 1.36/0.79 % (6778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.79 % (6778)Termination reason: Refutation
% 1.36/0.79
% 1.36/0.79 % (6778)Memory used [KB]: 7164
% 1.36/0.79 % (6778)Time elapsed: 0.171 s
% 1.36/0.79 % (6778)Instructions burned: 545 (million)
% 1.36/0.79 % (6778)------------------------------
% 1.36/0.79 % (6778)------------------------------
% 1.36/0.79 % (6615)Success in time 0.439 s
% 1.36/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------