TSTP Solution File: SYO546^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO546^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : 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 09:06:10 EDT 2024
% Result : Theorem 0.23s 0.52s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO546^1 : TPTP v8.2.0. Released v5.2.0.
% 0.15/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 08:50:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.23/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.38 % (22045)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.38 % (22046)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)
% 0.23/0.38 % (22047)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)
% 0.23/0.38 % (22048)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.38 % (22049)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)
% 0.23/0.38 % (22050)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)
% 0.23/0.38 % (22051)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.38 % (22052)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)
% 0.23/0.38 % (22048)Instruction limit reached!
% 0.23/0.38 % (22048)------------------------------
% 0.23/0.38 % (22048)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.38 % (22048)Termination reason: Unknown
% 0.23/0.38 % (22048)Termination phase: Property scanning
% 0.23/0.38
% 0.23/0.38 % (22049)Instruction limit reached!
% 0.23/0.38 % (22049)------------------------------
% 0.23/0.38 % (22049)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.38 % (22049)Termination reason: Unknown
% 0.23/0.38 % (22049)Termination phase: Property scanning
% 0.23/0.38
% 0.23/0.38 % (22049)Memory used [KB]: 895
% 0.23/0.38 % (22049)Time elapsed: 0.003 s
% 0.23/0.38 % (22049)Instructions burned: 2 (million)
% 0.23/0.38 % (22049)------------------------------
% 0.23/0.38 % (22049)------------------------------
% 0.23/0.38 % (22048)Memory used [KB]: 895
% 0.23/0.38 % (22048)Time elapsed: 0.003 s
% 0.23/0.38 % (22048)Instructions burned: 2 (million)
% 0.23/0.38 % (22048)------------------------------
% 0.23/0.38 % (22048)------------------------------
% 0.23/0.38 % (22050)Refutation not found, incomplete strategy
% 0.23/0.38 % (22050)------------------------------
% 0.23/0.38 % (22050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.38 % (22050)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.38
% 0.23/0.38
% 0.23/0.38 % (22050)Memory used [KB]: 5500
% 0.23/0.38 % (22050)Time elapsed: 0.004 s
% 0.23/0.38 % (22050)Instructions burned: 2 (million)
% 0.23/0.38 % (22050)------------------------------
% 0.23/0.38 % (22050)------------------------------
% 0.23/0.38 % (22052)Instruction limit reached!
% 0.23/0.38 % (22052)------------------------------
% 0.23/0.38 % (22052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.38 % (22052)Termination reason: Unknown
% 0.23/0.38 % (22052)Termination phase: Saturation
% 0.23/0.38
% 0.23/0.38 % (22052)Memory used [KB]: 5500
% 0.23/0.38 % (22052)Time elapsed: 0.004 s
% 0.23/0.38 % (22052)Instructions burned: 3 (million)
% 0.23/0.38 % (22052)------------------------------
% 0.23/0.38 % (22052)------------------------------
% 0.23/0.38 % (22046)Instruction limit reached!
% 0.23/0.38 % (22046)------------------------------
% 0.23/0.38 % (22046)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.38 % (22046)Termination reason: Unknown
% 0.23/0.38 % (22046)Termination phase: Saturation
% 0.23/0.38
% 0.23/0.38 % (22046)Memory used [KB]: 5500
% 0.23/0.38 % (22046)Time elapsed: 0.005 s
% 0.23/0.38 % (22046)Instructions burned: 4 (million)
% 0.23/0.38 % (22046)------------------------------
% 0.23/0.38 % (22046)------------------------------
% 0.23/0.39 % (22051)Instruction limit reached!
% 0.23/0.39 % (22051)------------------------------
% 0.23/0.39 % (22051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (22051)Termination reason: Unknown
% 0.23/0.39 % (22051)Termination phase: Saturation
% 0.23/0.39
% 0.23/0.39 % (22051)Memory used [KB]: 5628
% 0.23/0.39 % (22051)Time elapsed: 0.015 s
% 0.23/0.39 % (22051)Instructions burned: 19 (million)
% 0.23/0.39 % (22051)------------------------------
% 0.23/0.39 % (22051)------------------------------
% 0.23/0.39 % (22047)Instruction limit reached!
% 0.23/0.39 % (22047)------------------------------
% 0.23/0.39 % (22047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (22047)Termination reason: Unknown
% 0.23/0.39 % (22047)Termination phase: Saturation
% 0.23/0.39
% 0.23/0.39 % (22047)Memory used [KB]: 5500
% 0.23/0.39 % (22047)Time elapsed: 0.016 s
% 0.23/0.39 % (22047)Instructions burned: 28 (million)
% 0.23/0.39 % (22047)------------------------------
% 0.23/0.39 % (22047)------------------------------
% 0.23/0.39 % (22053)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)
% 0.23/0.39 % (22054)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)
% 0.23/0.40 % (22055)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)
% 0.23/0.40 % (22057)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.40 % (22056)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)
% 0.23/0.40 % (22054)Refutation not found, incomplete strategy
% 0.23/0.40 % (22054)------------------------------
% 0.23/0.40 % (22054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (22054)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.40
% 0.23/0.40
% 0.23/0.40 % (22054)Memory used [KB]: 5500
% 0.23/0.40 % (22054)Time elapsed: 0.004 s
% 0.23/0.40 % (22054)Instructions burned: 3 (million)
% 0.23/0.40 % (22054)------------------------------
% 0.23/0.40 % (22054)------------------------------
% 0.23/0.40 % (22055)Instruction limit reached!
% 0.23/0.40 % (22055)------------------------------
% 0.23/0.40 % (22055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (22055)Termination reason: Unknown
% 0.23/0.40 % (22055)Termination phase: Saturation
% 0.23/0.40
% 0.23/0.40 % (22055)Memory used [KB]: 5500
% 0.23/0.40 % (22055)Time elapsed: 0.004 s
% 0.23/0.40 % (22055)Instructions burned: 3 (million)
% 0.23/0.40 % (22055)------------------------------
% 0.23/0.40 % (22055)------------------------------
% 0.23/0.40 % (22057)Instruction limit reached!
% 0.23/0.40 % (22057)------------------------------
% 0.23/0.40 % (22057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (22057)Termination reason: Unknown
% 0.23/0.40 % (22057)Termination phase: Saturation
% 0.23/0.40
% 0.23/0.40 % (22057)Memory used [KB]: 1023
% 0.23/0.40 % (22057)Time elapsed: 0.006 s
% 0.23/0.40 % (22057)Instructions burned: 7 (million)
% 0.23/0.40 % (22057)------------------------------
% 0.23/0.40 % (22057)------------------------------
% 0.23/0.41 % (22058)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.41 % (22059)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)
% 0.23/0.41 % (22056)Refutation not found, incomplete strategy
% 0.23/0.41 % (22056)------------------------------
% 0.23/0.41 % (22056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (22059)Instruction limit reached!
% 0.23/0.41 % (22059)------------------------------
% 0.23/0.41 % (22059)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (22056)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.41
% 0.23/0.41
% 0.23/0.41 % (22056)Memory used [KB]: 5628
% 0.23/0.41 % (22056)Time elapsed: 0.035 s
% 0.23/0.41 % (22056)Instructions burned: 19 (million)
% 0.23/0.41 % (22056)------------------------------
% 0.23/0.41 % (22056)------------------------------
% 0.23/0.41 % (22059)Termination reason: Unknown
% 0.23/0.41 % (22059)Termination phase: Saturation
% 0.23/0.41
% 0.23/0.41 % (22059)Memory used [KB]: 5500
% 0.23/0.41 % (22059)Time elapsed: 0.004 s
% 0.23/0.41 % (22059)Instructions burned: 3 (million)
% 0.23/0.41 % (22059)------------------------------
% 0.23/0.41 % (22059)------------------------------
% 0.23/0.41 % (22060)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)
% 0.23/0.41 % (22061)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)
% 0.23/0.41 % (22060)Instruction limit reached!
% 0.23/0.41 % (22060)------------------------------
% 0.23/0.41 % (22060)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (22060)Termination reason: Unknown
% 0.23/0.41 % (22060)Termination phase: Saturation
% 0.23/0.41
% 0.23/0.41 % (22060)Memory used [KB]: 1023
% 0.23/0.41 % (22060)Time elapsed: 0.004 s
% 0.23/0.41 % (22060)Instructions burned: 3 (million)
% 0.23/0.41 % (22060)------------------------------
% 0.23/0.41 % (22060)------------------------------
% 0.23/0.42 % (22062)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)
% 0.23/0.42 % (22053)Instruction limit reached!
% 0.23/0.42 % (22053)------------------------------
% 0.23/0.42 % (22053)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (22053)Termination reason: Unknown
% 0.23/0.42 % (22053)Termination phase: Saturation
% 0.23/0.42
% 0.23/0.42 % (22053)Memory used [KB]: 5756
% 0.23/0.42 % (22053)Time elapsed: 0.023 s
% 0.23/0.42 % (22053)Instructions burned: 37 (million)
% 0.23/0.42 % (22053)------------------------------
% 0.23/0.42 % (22053)------------------------------
% 0.23/0.42 % (22062)Instruction limit reached!
% 0.23/0.42 % (22062)------------------------------
% 0.23/0.42 % (22062)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (22062)Termination reason: Unknown
% 0.23/0.42 % (22062)Termination phase: Saturation
% 0.23/0.42
% 0.23/0.42 % (22062)Memory used [KB]: 5500
% 0.23/0.42 % (22062)Time elapsed: 0.004 s
% 0.23/0.42 % (22062)Instructions burned: 3 (million)
% 0.23/0.42 % (22062)------------------------------
% 0.23/0.42 % (22062)------------------------------
% 0.23/0.42 % (22061)Refutation not found, incomplete strategy
% 0.23/0.42 % (22061)------------------------------
% 0.23/0.42 % (22061)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (22061)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.42
% 0.23/0.42
% 0.23/0.42 % (22061)Memory used [KB]: 5500
% 0.23/0.42 % (22061)Time elapsed: 0.030 s
% 0.23/0.42 % (22061)Instructions burned: 6 (million)
% 0.23/0.42 % (22061)------------------------------
% 0.23/0.42 % (22061)------------------------------
% 0.23/0.42 % (22058)Instruction limit reached!
% 0.23/0.42 % (22058)------------------------------
% 0.23/0.42 % (22058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (22058)Termination reason: Unknown
% 0.23/0.42 % (22058)Termination phase: Saturation
% 0.23/0.42
% 0.23/0.42 % (22058)Memory used [KB]: 5756
% 0.23/0.42 % (22058)Time elapsed: 0.035 s
% 0.23/0.42 % (22058)Instructions burned: 16 (million)
% 0.23/0.42 % (22058)------------------------------
% 0.23/0.42 % (22058)------------------------------
% 0.23/0.42 % (22063)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.42 % (22064)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)
% 0.23/0.43 % (22063)Instruction limit reached!
% 0.23/0.43 % (22063)------------------------------
% 0.23/0.43 % (22063)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (22063)Termination reason: Unknown
% 0.23/0.43 % (22063)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (22063)Memory used [KB]: 5500
% 0.23/0.43 % (22063)Time elapsed: 0.030 s
% 0.23/0.43 % (22063)Instructions burned: 4 (million)
% 0.23/0.43 % (22063)------------------------------
% 0.23/0.43 % (22063)------------------------------
% 0.23/0.43 % (22065)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.43 % (22066)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.43 % (22067)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)
% 0.23/0.43 % (22068)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.23/0.43 % (22067)Refutation not found, incomplete strategy
% 0.23/0.43 % (22067)------------------------------
% 0.23/0.43 % (22067)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (22067)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.43
% 0.23/0.43
% 0.23/0.43 % (22067)Memory used [KB]: 5500
% 0.23/0.43 % (22067)Time elapsed: 0.003 s
% 0.23/0.43 % (22067)Instructions burned: 2 (million)
% 0.23/0.43 % (22067)------------------------------
% 0.23/0.43 % (22067)------------------------------
% 0.23/0.43 % (22069)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.43 % (22066)Instruction limit reached!
% 0.23/0.43 % (22066)------------------------------
% 0.23/0.43 % (22066)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (22066)Termination reason: Unknown
% 0.23/0.43 % (22066)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (22066)Memory used [KB]: 5500
% 0.23/0.43 % (22066)Time elapsed: 0.006 s
% 0.23/0.43 % (22066)Instructions burned: 7 (million)
% 0.23/0.43 % (22066)------------------------------
% 0.23/0.43 % (22066)------------------------------
% 0.23/0.44 % (22064)Instruction limit reached!
% 0.23/0.44 % (22064)------------------------------
% 0.23/0.44 % (22064)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (22064)Termination reason: Unknown
% 0.23/0.44 % (22064)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (22064)Memory used [KB]: 5500
% 0.23/0.44 % (22064)Time elapsed: 0.038 s
% 0.23/0.44 % (22064)Instructions burned: 19 (million)
% 0.23/0.44 % (22064)------------------------------
% 0.23/0.44 % (22064)------------------------------
% 0.23/0.44 % (22069)Instruction limit reached!
% 0.23/0.44 % (22069)------------------------------
% 0.23/0.44 % (22069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (22069)Termination reason: Unknown
% 0.23/0.44 % (22069)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (22069)Memory used [KB]: 5500
% 0.23/0.44 % (22069)Time elapsed: 0.006 s
% 0.23/0.44 % (22069)Instructions burned: 6 (million)
% 0.23/0.44 % (22069)------------------------------
% 0.23/0.44 % (22069)------------------------------
% 0.23/0.44 % (22070)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 (2999ds/6Mi)
% 0.23/0.44 % (22070)Refutation not found, incomplete strategy
% 0.23/0.44 % (22070)------------------------------
% 0.23/0.44 % (22070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (22070)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.44
% 0.23/0.44
% 0.23/0.44 % (22070)Memory used [KB]: 5500
% 0.23/0.44 % (22070)Time elapsed: 0.004 s
% 0.23/0.44 % (22070)Instructions burned: 2 (million)
% 0.23/0.44 % (22070)------------------------------
% 0.23/0.44 % (22070)------------------------------
% 0.23/0.45 % (22068)Instruction limit reached!
% 0.23/0.45 % (22068)------------------------------
% 0.23/0.45 % (22068)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (22068)Termination reason: Unknown
% 0.23/0.45 % (22068)Termination phase: Saturation
% 0.23/0.45
% 0.23/0.45 % (22068)Memory used [KB]: 5628
% 0.23/0.45 % (22068)Time elapsed: 0.017 s
% 0.23/0.45 % (22068)Instructions burned: 21 (million)
% 0.23/0.45 % (22068)------------------------------
% 0.23/0.45 % (22068)------------------------------
% 0.23/0.45 % (22071)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.23/0.45 % (22072)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 (2999ds/779Mi)
% 0.23/0.45 % (22073)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 (2999ds/19Mi)
% 0.23/0.45 % (22073)Refutation not found, incomplete strategy
% 0.23/0.45 % (22073)------------------------------
% 0.23/0.45 % (22073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (22073)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.45
% 0.23/0.45
% 0.23/0.45 % (22073)Memory used [KB]: 5500
% 0.23/0.45 % (22073)Time elapsed: 0.003 s
% 0.23/0.45 % (22073)Instructions burned: 2 (million)
% 0.23/0.45 % (22073)------------------------------
% 0.23/0.45 % (22073)------------------------------
% 0.23/0.45 % (22072)Refutation not found, incomplete strategy
% 0.23/0.45 % (22072)------------------------------
% 0.23/0.45 % (22072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (22072)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.45
% 0.23/0.45
% 0.23/0.45 % (22072)Memory used [KB]: 5500
% 0.23/0.45 % (22072)Time elapsed: 0.005 s
% 0.23/0.45 % (22074)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.23/0.45 % (22072)Instructions burned: 4 (million)
% 0.23/0.45 % (22072)------------------------------
% 0.23/0.45 % (22072)------------------------------
% 0.23/0.46 % (22074)Refutation not found, incomplete strategy
% 0.23/0.46 % (22074)------------------------------
% 0.23/0.46 % (22074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (22074)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.46
% 0.23/0.46
% 0.23/0.46 % (22074)Memory used [KB]: 5500
% 0.23/0.46 % (22074)Time elapsed: 0.006 s
% 0.23/0.46 % (22074)Instructions burned: 4 (million)
% 0.23/0.46 % (22074)------------------------------
% 0.23/0.46 % (22074)------------------------------
% 0.23/0.46 % (22075)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.23/0.46 % (22076)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.47 % (22076)Instruction limit reached!
% 0.23/0.47 % (22076)------------------------------
% 0.23/0.47 % (22076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (22076)Termination reason: Unknown
% 0.23/0.47 % (22076)Termination phase: Function definition elimination
% 0.23/0.47
% 0.23/0.47 % (22076)Memory used [KB]: 895
% 0.23/0.47 % (22076)Time elapsed: 0.003 s
% 0.23/0.47 % (22076)Instructions burned: 3 (million)
% 0.23/0.47 % (22076)------------------------------
% 0.23/0.47 % (22076)------------------------------
% 0.23/0.47 % (22077)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.23/0.47 % (22078)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 (2999ds/127Mi)
% 0.23/0.47 % (22079)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 (2999ds/100Mi)
% 0.23/0.47 % (22075)Instruction limit reached!
% 0.23/0.47 % (22075)------------------------------
% 0.23/0.47 % (22075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (22075)Termination reason: Unknown
% 0.23/0.47 % (22075)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (22075)Memory used [KB]: 5628
% 0.23/0.47 % (22075)Time elapsed: 0.014 s
% 0.23/0.47 % (22075)Instructions burned: 18 (million)
% 0.23/0.47 % (22075)------------------------------
% 0.23/0.47 % (22075)------------------------------
% 0.23/0.47 % (22077)Refutation not found, incomplete strategy
% 0.23/0.47 % (22077)------------------------------
% 0.23/0.47 % (22077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (22077)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.47
% 0.23/0.47
% 0.23/0.47 % (22077)Memory used [KB]: 5500
% 0.23/0.47 % (22077)Time elapsed: 0.006 s
% 0.23/0.47 % (22077)Instructions burned: 6 (million)
% 0.23/0.47 % (22077)------------------------------
% 0.23/0.47 % (22077)------------------------------
% 0.23/0.47 % (22079)Refutation not found, incomplete strategy
% 0.23/0.47 % (22079)------------------------------
% 0.23/0.47 % (22079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (22079)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.47
% 0.23/0.47
% 0.23/0.47 % (22079)Memory used [KB]: 5500
% 0.23/0.47 % (22079)Time elapsed: 0.004 s
% 0.23/0.47 % (22079)Instructions burned: 4 (million)
% 0.23/0.47 % (22079)------------------------------
% 0.23/0.47 % (22079)------------------------------
% 0.23/0.48 % (22082)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)
% 0.23/0.48 % (22082)Instruction limit reached!
% 0.23/0.48 % (22082)------------------------------
% 0.23/0.48 % (22082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (22082)Termination reason: Unknown
% 0.23/0.48 % (22082)Termination phase: Saturation
% 0.23/0.48
% 0.23/0.48 % (22082)Memory used [KB]: 5500
% 0.23/0.48 % (22082)Time elapsed: 0.004 s
% 0.23/0.48 % (22082)Instructions burned: 3 (million)
% 0.23/0.48 % (22082)------------------------------
% 0.23/0.48 % (22082)------------------------------
% 0.23/0.49 % (22088)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)
% 0.23/0.49 % (22084)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)
% 0.23/0.49 % (22088)Refutation not found, incomplete strategy
% 0.23/0.49 % (22088)------------------------------
% 0.23/0.49 % (22088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (22088)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.49
% 0.23/0.49
% 0.23/0.49 % (22088)Memory used [KB]: 5500
% 0.23/0.49 % (22088)Time elapsed: 0.002 s
% 0.23/0.49 % (22088)Instructions burned: 3 (million)
% 0.23/0.49 % (22088)------------------------------
% 0.23/0.49 % (22088)------------------------------
% 0.23/0.49 % (22084)Refutation not found, incomplete strategy
% 0.23/0.49 % (22084)------------------------------
% 0.23/0.49 % (22084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (22084)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.49
% 0.23/0.49
% 0.23/0.49 % (22084)Memory used [KB]: 5500
% 0.23/0.49 % (22084)Time elapsed: 0.004 s
% 0.23/0.49 % (22084)Instructions burned: 2 (million)
% 0.23/0.49 % (22084)------------------------------
% 0.23/0.49 % (22084)------------------------------
% 0.23/0.49 % (22086)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)
% 0.23/0.49 % (22086)Refutation not found, incomplete strategy
% 0.23/0.49 % (22086)------------------------------
% 0.23/0.49 % (22086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (22086)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.49
% 0.23/0.49
% 0.23/0.49 % (22086)Memory used [KB]: 5500
% 0.23/0.49 % (22086)Time elapsed: 0.004 s
% 0.23/0.49 % (22086)Instructions burned: 2 (million)
% 0.23/0.49 % (22086)------------------------------
% 0.23/0.49 % (22086)------------------------------
% 0.23/0.49 % (22090)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)
% 0.23/0.49 % (22045)Instruction limit reached!
% 0.23/0.49 % (22045)------------------------------
% 0.23/0.49 % (22045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (22045)Termination reason: Unknown
% 0.23/0.49 % (22045)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (22045)Memory used [KB]: 6652
% 0.23/0.49 % (22045)Time elapsed: 0.117 s
% 0.23/0.49 % (22045)Instructions burned: 183 (million)
% 0.23/0.49 % (22045)------------------------------
% 0.23/0.49 % (22045)------------------------------
% 0.23/0.50 % (22092)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 (2998ds/448Mi)
% 0.23/0.50 % (22092)Refutation not found, incomplete strategy
% 0.23/0.50 % (22092)------------------------------
% 0.23/0.50 % (22092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50 % (22092)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.50
% 0.23/0.50
% 0.23/0.50 % (22092)Memory used [KB]: 5500
% 0.23/0.50 % (22092)Time elapsed: 0.002 s
% 0.23/0.50 % (22092)Instructions burned: 2 (million)
% 0.23/0.50 % (22092)------------------------------
% 0.23/0.50 % (22092)------------------------------
% 0.23/0.50 % (22093)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 (2998ds/46Mi)
% 0.23/0.50 % (22094)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 (2998ds/98Mi)
% 0.23/0.50 % (22097)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 (2998ds/507Mi)
% 0.23/0.51 % (22097)Refutation not found, incomplete strategy
% 0.23/0.51 % (22097)------------------------------
% 0.23/0.51 % (22097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (22090)Instruction limit reached!
% 0.23/0.51 % (22090)------------------------------
% 0.23/0.51 % (22090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (22090)Termination reason: Unknown
% 0.23/0.51 % (22090)Termination phase: Saturation
% 0.23/0.51
% 0.23/0.51 % (22090)Memory used [KB]: 5756
% 0.23/0.51 % (22090)Time elapsed: 0.015 s
% 0.23/0.51 % (22090)Instructions burned: 40 (million)
% 0.23/0.51 % (22090)------------------------------
% 0.23/0.51 % (22090)------------------------------
% 0.23/0.51 % (22094)Refutation not found, incomplete strategy
% 0.23/0.51 % (22094)------------------------------
% 0.23/0.51 % (22094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (22094)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.51
% 0.23/0.51
% 0.23/0.51 % (22094)Memory used [KB]: 1023
% 0.23/0.51 % (22094)Time elapsed: 0.003 s
% 0.23/0.51 % (22094)Instructions burned: 4 (million)
% 0.23/0.51 % (22094)------------------------------
% 0.23/0.51 % (22094)------------------------------
% 0.23/0.51 % (22097)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.51
% 0.23/0.51
% 0.23/0.51 % (22097)Memory used [KB]: 5500
% 0.23/0.51 % (22097)Time elapsed: 0.003 s
% 0.23/0.51 % (22097)Instructions burned: 4 (million)
% 0.23/0.51 % (22097)------------------------------
% 0.23/0.51 % (22097)------------------------------
% 0.23/0.51 % (22099)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 (2998ds/149Mi)
% 0.23/0.52 % (22106)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.23/0.52 % (22108)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 (2998ds/1087Mi)
% 0.23/0.52 % (22078)First to succeed.
% 0.23/0.52 % (22107)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 (2998ds/6Mi)
% 0.23/0.52 % (22108)Refutation not found, incomplete strategy
% 0.23/0.52 % (22108)------------------------------
% 0.23/0.52 % (22108)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (22108)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.52
% 0.23/0.52
% 0.23/0.52 % (22108)Memory used [KB]: 5500
% 0.23/0.52 % (22108)Time elapsed: 0.004 s
% 0.23/0.52 % (22108)Instructions burned: 6 (million)
% 0.23/0.52 % (22108)------------------------------
% 0.23/0.52 % (22108)------------------------------
% 0.23/0.52 % (22093)Instruction limit reached!
% 0.23/0.52 % (22093)------------------------------
% 0.23/0.52 % (22093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (22093)Termination reason: Unknown
% 0.23/0.52 % (22093)Termination phase: Saturation
% 0.23/0.52
% 0.23/0.52 % (22093)Memory used [KB]: 5628
% 0.23/0.52 % (22093)Time elapsed: 0.019 s
% 0.23/0.52 % (22093)Instructions burned: 46 (million)
% 0.23/0.52 % (22093)------------------------------
% 0.23/0.52 % (22093)------------------------------
% 0.23/0.52 % (22107)Instruction limit reached!
% 0.23/0.52 % (22107)------------------------------
% 0.23/0.52 % (22107)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (22107)Termination reason: Unknown
% 0.23/0.52 % (22107)Termination phase: Saturation
% 0.23/0.52
% 0.23/0.52 % (22107)Memory used [KB]: 9978
% 0.23/0.52 % (22107)Time elapsed: 0.005 s
% 0.23/0.52 % (22107)Instructions burned: 7 (million)
% 0.23/0.52 % (22107)------------------------------
% 0.23/0.52 % (22107)------------------------------
% 0.23/0.52 % (22078)Refutation found. Thanks to Tanya!
% 0.23/0.52 % SZS status Theorem for theBenchmark
% 0.23/0.52 % SZS output start Proof for theBenchmark
% 0.23/0.52 thf(func_def_0, type, eps: ($i > $o) > $i).
% 0.23/0.52 thf(func_def_2, type, case: ($o > $o) > $i > $i > $i > $i > $i).
% 0.23/0.52 thf(func_def_4, type, f: $o > $o).
% 0.23/0.52 thf(func_def_19, type, ph2: !>[X0: $tType]:(X0)).
% 0.23/0.52 thf(func_def_20, type, sK3: $i > $i > $i).
% 0.23/0.52 thf(func_def_21, type, sK4: $i > $i).
% 0.23/0.52 thf(f1194,plain,(
% 0.23/0.52 $false),
% 0.23/0.52 inference(avatar_sat_refutation,[],[f166,f188,f189,f190,f191,f462,f471,f702,f711,f850,f887,f913,f935,f936,f981,f1053,f1059,f1118,f1120,f1139,f1145,f1167,f1172,f1178,f1193])).
% 0.23/0.52 thf(f1193,plain,(
% 0.23/0.52 ~spl1_38 | ~spl1_41 | spl1_45),
% 0.23/0.52 inference(avatar_contradiction_clause,[],[f1192])).
% 0.23/0.52 thf(f1192,plain,(
% 0.23/0.52 $false | (~spl1_38 | ~spl1_41 | spl1_45)),
% 0.23/0.52 inference(subsumption_resolution,[],[f1191,f800])).
% 0.23/0.52 thf(f800,plain,(
% 0.23/0.52 ((f @ $true) != $false) | spl1_45),
% 0.23/0.52 inference(avatar_component_clause,[],[f798])).
% 0.23/0.52 thf(f798,plain,(
% 0.23/0.52 spl1_45 <=> ((f @ $true) = $false)),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_45])])).
% 0.23/0.52 thf(f1191,plain,(
% 0.23/0.52 ((f @ $true) = $false) | (~spl1_38 | ~spl1_41)),
% 0.23/0.52 inference(forward_demodulation,[],[f710,f697])).
% 0.23/0.52 thf(f697,plain,(
% 0.23/0.52 ($true = sK21) | ~spl1_38),
% 0.23/0.52 inference(avatar_component_clause,[],[f695])).
% 0.23/0.52 thf(f695,plain,(
% 0.23/0.52 spl1_38 <=> ($true = sK21)),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_38])])).
% 0.23/0.52 thf(f710,plain,(
% 0.23/0.52 ((f @ sK21) = $false) | ~spl1_41),
% 0.23/0.52 inference(avatar_component_clause,[],[f708])).
% 0.23/0.52 thf(f708,plain,(
% 0.23/0.52 spl1_41 <=> ((f @ sK21) = $false)),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_41])])).
% 0.23/0.52 thf(f1178,plain,(
% 0.23/0.52 spl1_38 | spl1_40),
% 0.23/0.52 inference(avatar_split_clause,[],[f1176,f704,f695])).
% 0.23/0.52 thf(f704,plain,(
% 0.23/0.52 spl1_40 <=> (sK21 = $false)),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_40])])).
% 0.23/0.52 thf(f1176,plain,(
% 0.23/0.52 ($true = sK21) | spl1_40),
% 0.23/0.52 inference(beta_eta_normalization,[],[f1175])).
% 0.23/0.52 thf(f1175,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (($true = ((^[Y0 : $i]: (sK21)) @ X0))) ) | spl1_40),
% 0.23/0.52 inference(trivial_inequality_removal,[],[f1173])).
% 0.23/0.52 thf(f1173,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (($true = ((^[Y0 : $i]: (sK21)) @ X0)) | ($false != $false)) ) | spl1_40),
% 0.23/0.52 inference(superposition,[],[f705,f30])).
% 0.23/0.52 thf(f30,plain,(
% 0.23/0.52 ( ! [X1 : $i,X4 : $i > $o] : (((X4 @ X1) = $true) | ((X4 @ (eps @ (^[Y0 : $i]: (~ (X4 @ Y0))))) = $false)) )),
% 0.23/0.52 inference(not_proxy_clausification,[],[f29])).
% 0.23/0.52 thf(f29,plain,(
% 0.23/0.52 ( ! [X1 : $i,X4 : $i > $o] : (((X4 @ X1) = $true) | ((~ (X4 @ (eps @ (^[Y0 : $i]: (~ (X4 @ Y0)))))) = $true)) )),
% 0.23/0.52 inference(not_proxy_clausification,[],[f28])).
% 0.23/0.52 thf(f28,plain,(
% 0.23/0.52 ( ! [X1 : $i,X4 : $i > $o] : (((~ (X4 @ X1)) != $true) | ((~ (X4 @ (eps @ (^[Y0 : $i]: (~ (X4 @ Y0)))))) = $true)) )),
% 0.23/0.52 inference(beta_eta_normalization,[],[f23])).
% 0.23/0.52 thf(f23,plain,(
% 0.23/0.52 ( ! [X1 : $i,X4 : $i > $o] : ((((^[Y0 : $i]: (~ (X4 @ Y0))) @ X1) != $true) | (((^[Y0 : $i]: (~ (X4 @ Y0))) @ (eps @ (^[Y0 : $i]: (~ (X4 @ Y0))))) = $true)) )),
% 0.23/0.52 inference(primitive_instantiation,[],[f16])).
% 0.23/0.52 thf(f16,plain,(
% 0.23/0.52 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) != $true) | ((X0 @ (eps @ X0)) = $true)) )),
% 0.23/0.52 inference(cnf_transformation,[],[f11])).
% 0.23/0.52 thf(f11,plain,(
% 0.23/0.52 ! [X0 : $i > $o] : (((X0 @ (eps @ X0)) = $true) | ! [X1] : ((X0 @ X1) != $true))),
% 0.23/0.52 inference(ennf_transformation,[],[f9])).
% 0.23/0.52 thf(f9,plain,(
% 0.23/0.52 ! [X0 : $i > $o] : (? [X1] : ((X0 @ X1) = $true) => ((X0 @ (eps @ X0)) = $true))),
% 0.23/0.52 inference(fool_elimination,[],[f8])).
% 0.23/0.52 thf(f8,plain,(
% 0.23/0.52 ! [X0 : $i > $o] : (? [X1] : (X0 @ X1) => (X0 @ (eps @ X0)))),
% 0.23/0.52 inference(rectify,[],[f1])).
% 0.23/0.52 thf(f1,axiom,(
% 0.23/0.52 ! [X0 : $i > $o] : (? [X1] : (X0 @ X1) => (X0 @ (eps @ X0)))),
% 0.23/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',choiceax)).
% 0.23/0.52 thf(f705,plain,(
% 0.23/0.52 (sK21 != $false) | spl1_40),
% 0.23/0.52 inference(avatar_component_clause,[],[f704])).
% 0.23/0.52 thf(f1172,plain,(
% 0.23/0.52 ~spl1_38 | ~spl1_40),
% 0.23/0.52 inference(avatar_contradiction_clause,[],[f1171])).
% 0.23/0.52 thf(f1171,plain,(
% 0.23/0.52 $false | (~spl1_38 | ~spl1_40)),
% 0.23/0.52 inference(trivial_inequality_removal,[],[f1170])).
% 0.23/0.52 thf(f1170,plain,(
% 0.23/0.52 ($true = $false) | (~spl1_38 | ~spl1_40)),
% 0.23/0.52 inference(forward_demodulation,[],[f697,f706])).
% 0.23/0.52 thf(f706,plain,(
% 0.23/0.52 (sK21 = $false) | ~spl1_40),
% 0.23/0.52 inference(avatar_component_clause,[],[f704])).
% 0.23/0.52 thf(f1167,plain,(
% 0.23/0.52 ~spl1_39 | ~spl1_40 | ~spl1_42),
% 0.23/0.52 inference(avatar_contradiction_clause,[],[f1166])).
% 0.23/0.52 thf(f1166,plain,(
% 0.23/0.52 $false | (~spl1_39 | ~spl1_40 | ~spl1_42)),
% 0.23/0.52 inference(trivial_inequality_removal,[],[f1165])).
% 0.23/0.52 thf(f1165,plain,(
% 0.23/0.52 ($true = $false) | (~spl1_39 | ~spl1_40 | ~spl1_42)),
% 0.23/0.52 inference(forward_demodulation,[],[f893,f786])).
% 0.23/0.52 thf(f786,plain,(
% 0.23/0.52 ((f @ $false) = $false) | ~spl1_42),
% 0.23/0.52 inference(avatar_component_clause,[],[f785])).
% 0.23/0.52 thf(f785,plain,(
% 0.23/0.52 spl1_42 <=> ((f @ $false) = $false)),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_42])])).
% 0.23/0.52 thf(f893,plain,(
% 0.23/0.52 ((f @ $false) = $true) | (~spl1_39 | ~spl1_40)),
% 0.23/0.52 inference(forward_demodulation,[],[f701,f706])).
% 0.23/0.52 thf(f701,plain,(
% 0.23/0.52 ((f @ sK21) = $true) | ~spl1_39),
% 0.23/0.52 inference(avatar_component_clause,[],[f699])).
% 0.23/0.52 thf(f699,plain,(
% 0.23/0.52 spl1_39 <=> ((f @ sK21) = $true)),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_39])])).
% 0.23/0.52 thf(f1145,plain,(
% 0.23/0.52 spl1_49 | spl1_42),
% 0.23/0.52 inference(avatar_split_clause,[],[f1144,f785,f919])).
% 0.23/0.52 thf(f919,plain,(
% 0.23/0.52 spl1_49 <=> ((f @ $false) = $true)),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_49])])).
% 0.23/0.52 thf(f1144,plain,(
% 0.23/0.52 ((f @ $false) = $true) | spl1_42),
% 0.23/0.52 inference(beta_eta_normalization,[],[f1143])).
% 0.23/0.52 thf(f1143,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (($true = ((^[Y0 : $i]: (f @ ((^[Y1 : $i]: ($false)) @ Y0))) @ X0))) ) | spl1_42),
% 0.23/0.52 inference(trivial_inequality_removal,[],[f1140])).
% 0.23/0.52 thf(f1140,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (($false != $false) | ($true = ((^[Y0 : $i]: (f @ ((^[Y1 : $i]: ($false)) @ Y0))) @ X0))) ) | spl1_42),
% 0.23/0.52 inference(superposition,[],[f787,f30])).
% 0.23/0.52 thf(f787,plain,(
% 0.23/0.52 ((f @ $false) != $false) | spl1_42),
% 0.23/0.52 inference(avatar_component_clause,[],[f785])).
% 0.23/0.52 thf(f1139,plain,(
% 0.23/0.52 spl1_47 | spl1_4 | ~spl1_43),
% 0.23/0.52 inference(avatar_split_clause,[],[f1138,f789,f161,f910])).
% 0.23/0.52 thf(f910,plain,(
% 0.23/0.52 spl1_47 <=> ($true = (f @ $true))),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_47])])).
% 0.23/0.52 thf(f161,plain,(
% 0.23/0.52 spl1_4 <=> (f = (^[Y0 : $o]: ($false)))),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
% 0.23/0.52 thf(f789,plain,(
% 0.23/0.52 spl1_43 <=> (sK22 = $true)),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_43])])).
% 0.23/0.52 thf(f1138,plain,(
% 0.23/0.52 ($true = (f @ $true)) | (spl1_4 | ~spl1_43)),
% 0.23/0.52 inference(forward_demodulation,[],[f782,f791])).
% 0.23/0.52 thf(f791,plain,(
% 0.23/0.52 (sK22 = $true) | ~spl1_43),
% 0.23/0.52 inference(avatar_component_clause,[],[f789])).
% 0.23/0.52 thf(f782,plain,(
% 0.23/0.52 ($true = (f @ sK22)) | spl1_4),
% 0.23/0.52 inference(beta_eta_normalization,[],[f781])).
% 0.23/0.52 thf(f781,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (($true = ((^[Y0 : $i]: (f @ ((^[Y1 : $i]: (sK22)) @ Y0))) @ X0))) ) | spl1_4),
% 0.23/0.52 inference(trivial_inequality_removal,[],[f777])).
% 0.23/0.52 thf(f777,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (($true = ((^[Y0 : $i]: (f @ ((^[Y1 : $i]: (sK22)) @ Y0))) @ X0)) | ($false != $false)) ) | spl1_4),
% 0.23/0.52 inference(superposition,[],[f750,f30])).
% 0.23/0.52 thf(f750,plain,(
% 0.23/0.52 ((f @ sK22) != $false) | spl1_4),
% 0.23/0.52 inference(beta_eta_normalization,[],[f749])).
% 0.23/0.52 thf(f749,plain,(
% 0.23/0.52 (((^[Y0 : $o]: ($false)) @ sK22) != (f @ sK22)) | spl1_4),
% 0.23/0.52 inference(negative_extensionality,[],[f162])).
% 0.23/0.52 thf(f162,plain,(
% 0.23/0.52 (f != (^[Y0 : $o]: ($false))) | spl1_4),
% 0.23/0.52 inference(avatar_component_clause,[],[f161])).
% 0.23/0.52 thf(f1120,plain,(
% 0.23/0.52 spl1_49 | spl1_4 | ~spl1_44),
% 0.23/0.52 inference(avatar_split_clause,[],[f1119,f794,f161,f919])).
% 0.23/0.52 thf(f794,plain,(
% 0.23/0.52 spl1_44 <=> (sK22 = $false)),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_44])])).
% 0.23/0.52 thf(f1119,plain,(
% 0.23/0.52 ((f @ $false) = $true) | (spl1_4 | ~spl1_44)),
% 0.23/0.52 inference(forward_demodulation,[],[f782,f796])).
% 0.23/0.52 thf(f796,plain,(
% 0.23/0.52 (sK22 = $false) | ~spl1_44),
% 0.23/0.52 inference(avatar_component_clause,[],[f794])).
% 0.23/0.52 thf(f1118,plain,(
% 0.23/0.52 spl1_47 | ~spl1_27 | ~spl1_29),
% 0.23/0.52 inference(avatar_split_clause,[],[f1117,f468,f459,f910])).
% 0.23/0.52 thf(f459,plain,(
% 0.23/0.52 spl1_27 <=> ($true = (f @ sK15))),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_27])])).
% 0.23/0.52 thf(f468,plain,(
% 0.23/0.52 spl1_29 <=> ($true = sK15)),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_29])])).
% 0.23/0.52 thf(f1117,plain,(
% 0.23/0.52 ($true = (f @ $true)) | (~spl1_27 | ~spl1_29)),
% 0.23/0.52 inference(forward_demodulation,[],[f461,f470])).
% 0.23/0.52 thf(f470,plain,(
% 0.23/0.52 ($true = sK15) | ~spl1_29),
% 0.23/0.52 inference(avatar_component_clause,[],[f468])).
% 0.23/0.52 thf(f461,plain,(
% 0.23/0.52 ($true = (f @ sK15)) | ~spl1_27),
% 0.23/0.52 inference(avatar_component_clause,[],[f459])).
% 0.23/0.52 thf(f1059,plain,(
% 0.23/0.52 spl1_29 | spl1_26),
% 0.23/0.52 inference(avatar_split_clause,[],[f1058,f455,f468])).
% 0.23/0.52 thf(f455,plain,(
% 0.23/0.52 spl1_26 <=> (sK15 = $false)),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_26])])).
% 0.23/0.52 thf(f1058,plain,(
% 0.23/0.52 ($true = sK15) | spl1_26),
% 0.23/0.52 inference(beta_eta_normalization,[],[f1057])).
% 0.23/0.52 thf(f1057,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((((^[Y0 : $i]: (sK15)) @ X0) = $true)) ) | spl1_26),
% 0.23/0.52 inference(trivial_inequality_removal,[],[f1054])).
% 0.23/0.52 thf(f1054,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (($false != $false) | (((^[Y0 : $i]: (sK15)) @ X0) = $true)) ) | spl1_26),
% 0.23/0.52 inference(superposition,[],[f456,f30])).
% 0.23/0.52 thf(f456,plain,(
% 0.23/0.52 (sK15 != $false) | spl1_26),
% 0.23/0.52 inference(avatar_component_clause,[],[f455])).
% 0.23/0.52 thf(f1053,plain,(
% 0.23/0.52 ~spl1_26 | ~spl1_29),
% 0.23/0.52 inference(avatar_contradiction_clause,[],[f1052])).
% 0.23/0.52 thf(f1052,plain,(
% 0.23/0.52 $false | (~spl1_26 | ~spl1_29)),
% 0.23/0.52 inference(trivial_inequality_removal,[],[f1043])).
% 0.23/0.52 thf(f1043,plain,(
% 0.23/0.52 ($true = $false) | (~spl1_26 | ~spl1_29)),
% 0.23/0.52 inference(backward_demodulation,[],[f470,f457])).
% 0.23/0.52 thf(f457,plain,(
% 0.23/0.52 (sK15 = $false) | ~spl1_26),
% 0.23/0.52 inference(avatar_component_clause,[],[f455])).
% 0.23/0.52 thf(f981,plain,(
% 0.23/0.52 ~spl1_49 | spl1_5 | ~spl1_46),
% 0.23/0.52 inference(avatar_split_clause,[],[f972,f906,f171,f919])).
% 0.23/0.52 thf(f171,plain,(
% 0.23/0.52 spl1_5 <=> (f = (^[Y0 : $o]: ($true)))),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
% 0.23/0.52 thf(f906,plain,(
% 0.23/0.52 spl1_46 <=> (sK23 = $false)),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_46])])).
% 0.23/0.52 thf(f972,plain,(
% 0.23/0.52 ((f @ $false) != $true) | (spl1_5 | ~spl1_46)),
% 0.23/0.52 inference(backward_demodulation,[],[f895,f908])).
% 0.23/0.52 thf(f908,plain,(
% 0.23/0.52 (sK23 = $false) | ~spl1_46),
% 0.23/0.52 inference(avatar_component_clause,[],[f906])).
% 0.23/0.52 thf(f895,plain,(
% 0.23/0.52 ($true != (f @ sK23)) | spl1_5),
% 0.23/0.52 inference(beta_eta_normalization,[],[f894])).
% 0.23/0.52 thf(f894,plain,(
% 0.23/0.52 (((^[Y0 : $o]: ($true)) @ sK23) != (f @ sK23)) | spl1_5),
% 0.23/0.52 inference(negative_extensionality,[],[f172])).
% 0.23/0.52 thf(f172,plain,(
% 0.23/0.52 (f != (^[Y0 : $o]: ($true))) | spl1_5),
% 0.23/0.52 inference(avatar_component_clause,[],[f171])).
% 0.23/0.52 thf(f936,plain,(
% 0.23/0.52 ~spl1_42 | spl1_43 | spl1_4),
% 0.23/0.52 inference(avatar_split_clause,[],[f930,f161,f789,f785])).
% 0.23/0.52 thf(f930,plain,(
% 0.23/0.52 ((f @ $false) != $false) | (sK22 = $true) | spl1_4),
% 0.23/0.52 inference(beta_eta_normalization,[],[f926])).
% 0.23/0.52 thf(f926,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (($true = ((^[Y0 : $i]: (sK22)) @ X0)) | ((f @ $false) != $false)) ) | spl1_4),
% 0.23/0.52 inference(superposition,[],[f750,f30])).
% 0.23/0.52 thf(f935,plain,(
% 0.23/0.52 spl1_44 | ~spl1_45 | spl1_4),
% 0.23/0.52 inference(avatar_split_clause,[],[f931,f161,f798,f794])).
% 0.23/0.52 thf(f931,plain,(
% 0.23/0.52 (sK22 = $false) | ((f @ $true) != $false) | spl1_4),
% 0.23/0.52 inference(beta_eta_normalization,[],[f927])).
% 0.23/0.52 thf(f927,plain,(
% 0.23/0.52 (((^[Y0 : $i]: (sK22)) @ (eps @ (^[Y0 : $i]: (~ ((^[Y1 : $i]: (sK22)) @ Y0))))) = $false) | ((f @ $true) != $false) | spl1_4),
% 0.23/0.52 inference(superposition,[],[f750,f30])).
% 0.23/0.52 thf(f913,plain,(
% 0.23/0.52 spl1_46 | ~spl1_47 | spl1_5),
% 0.23/0.52 inference(avatar_split_clause,[],[f902,f171,f910,f906])).
% 0.23/0.52 thf(f902,plain,(
% 0.23/0.52 ($true != (f @ $true)) | (sK23 = $false) | spl1_5),
% 0.23/0.52 inference(beta_eta_normalization,[],[f897])).
% 0.23/0.52 thf(f897,plain,(
% 0.23/0.52 (((^[Y0 : $i]: (sK23)) @ (eps @ (^[Y0 : $i]: (~ ((^[Y1 : $i]: (sK23)) @ Y0))))) = $false) | ($true != (f @ $true)) | spl1_5),
% 0.23/0.52 inference(superposition,[],[f895,f30])).
% 0.23/0.52 thf(f887,plain,(
% 0.23/0.52 ~spl1_2 | ~spl1_7),
% 0.23/0.52 inference(avatar_contradiction_clause,[],[f886])).
% 0.23/0.52 thf(f886,plain,(
% 0.23/0.52 $false | (~spl1_2 | ~spl1_7)),
% 0.23/0.52 inference(trivial_inequality_removal,[],[f885])).
% 0.23/0.52 thf(f885,plain,(
% 0.23/0.52 (sK0 != sK0) | (~spl1_2 | ~spl1_7)),
% 0.23/0.52 inference(duplicate_literal_removal,[],[f884])).
% 0.23/0.52 thf(f884,plain,(
% 0.23/0.52 (sK0 != sK0) | (sK0 != sK0) | (sK0 != sK0) | (~spl1_2 | ~spl1_7)),
% 0.23/0.52 inference(superposition,[],[f187,f883])).
% 0.23/0.52 thf(f883,plain,(
% 0.23/0.52 ((sK4 @ sK0) = sK0) | ~spl1_2),
% 0.23/0.52 inference(duplicate_literal_removal,[],[f882])).
% 0.23/0.52 thf(f882,plain,(
% 0.23/0.52 ((sK4 @ sK0) = sK0) | ((sK4 @ sK0) = sK0) | ~spl1_2),
% 0.23/0.52 inference(equality_resolution,[],[f153])).
% 0.23/0.52 thf(f153,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((sK0 != X0) | ((sK4 @ X0) = X0) | ((sK4 @ X0) = sK0)) ) | ~spl1_2),
% 0.23/0.52 inference(avatar_component_clause,[],[f152])).
% 0.23/0.52 thf(f152,plain,(
% 0.23/0.52 spl1_2 <=> ! [X0] : (((sK4 @ X0) = X0) | ((sK4 @ X0) = sK0) | (sK0 != X0))),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.23/0.52 thf(f187,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((sK4 @ X0) != sK0) | ((sK4 @ X0) != X0) | (sK0 != X0)) ) | ~spl1_7),
% 0.23/0.52 inference(avatar_component_clause,[],[f186])).
% 0.23/0.52 thf(f186,plain,(
% 0.23/0.52 spl1_7 <=> ! [X0] : (((sK4 @ X0) != X0) | ((sK4 @ X0) != sK0) | (sK0 != X0))),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
% 0.23/0.52 thf(f850,plain,(
% 0.23/0.52 spl1_42 | ~spl1_26 | ~spl1_28),
% 0.23/0.52 inference(avatar_split_clause,[],[f849,f464,f455,f785])).
% 0.23/0.52 thf(f464,plain,(
% 0.23/0.52 spl1_28 <=> ((f @ sK15) = $false)),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_28])])).
% 0.23/0.52 thf(f849,plain,(
% 0.23/0.52 ((f @ $false) = $false) | (~spl1_26 | ~spl1_28)),
% 0.23/0.52 inference(forward_demodulation,[],[f466,f457])).
% 0.23/0.52 thf(f466,plain,(
% 0.23/0.52 ((f @ sK15) = $false) | ~spl1_28),
% 0.23/0.52 inference(avatar_component_clause,[],[f464])).
% 0.23/0.52 thf(f711,plain,(
% 0.23/0.52 spl1_40 | spl1_41 | spl1_1),
% 0.23/0.52 inference(avatar_split_clause,[],[f691,f148,f708,f704])).
% 0.23/0.52 thf(f148,plain,(
% 0.23/0.52 spl1_1 <=> (f = (^[Y0 : $o]: (Y0)))),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.23/0.52 thf(f691,plain,(
% 0.23/0.52 (sK21 = $false) | ((f @ sK21) = $false) | spl1_1),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f689])).
% 0.23/0.52 thf(f689,plain,(
% 0.23/0.52 ((f @ sK21) != sK21) | spl1_1),
% 0.23/0.52 inference(beta_eta_normalization,[],[f687])).
% 0.23/0.52 thf(f687,plain,(
% 0.23/0.52 (((^[Y0 : $o]: (Y0)) @ sK21) != (f @ sK21)) | spl1_1),
% 0.23/0.52 inference(negative_extensionality,[],[f149])).
% 0.23/0.52 thf(f149,plain,(
% 0.23/0.52 (f != (^[Y0 : $o]: (Y0))) | spl1_1),
% 0.23/0.52 inference(avatar_component_clause,[],[f148])).
% 0.23/0.52 thf(f702,plain,(
% 0.23/0.52 spl1_38 | spl1_39 | spl1_1),
% 0.23/0.52 inference(avatar_split_clause,[],[f690,f148,f699,f695])).
% 0.23/0.52 thf(f690,plain,(
% 0.23/0.52 ($true = sK21) | ((f @ sK21) = $true) | spl1_1),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f689])).
% 0.23/0.52 thf(f471,plain,(
% 0.23/0.52 spl1_28 | spl1_29 | spl1_3),
% 0.23/0.52 inference(avatar_split_clause,[],[f452,f156,f468,f464])).
% 0.23/0.52 thf(f156,plain,(
% 0.23/0.52 spl1_3 <=> (~ = f)),
% 0.23/0.52 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
% 0.23/0.52 thf(f452,plain,(
% 0.23/0.52 ((f @ sK15) = $false) | ($true = sK15) | spl1_3),
% 0.23/0.52 inference(not_proxy_clausification,[],[f451])).
% 0.23/0.52 thf(f451,plain,(
% 0.23/0.52 ((f @ sK15) = $false) | ((~ sK15) = $false) | spl1_3),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f449])).
% 0.23/0.52 thf(f449,plain,(
% 0.23/0.52 ((~ sK15) != (f @ sK15)) | spl1_3),
% 0.23/0.52 inference(negative_extensionality,[],[f157])).
% 0.23/0.52 thf(f157,plain,(
% 0.23/0.52 (~ != f) | spl1_3),
% 0.23/0.52 inference(avatar_component_clause,[],[f156])).
% 0.23/0.52 thf(f462,plain,(
% 0.23/0.52 spl1_26 | spl1_27 | spl1_3),
% 0.23/0.52 inference(avatar_split_clause,[],[f453,f156,f459,f455])).
% 0.23/0.52 thf(f453,plain,(
% 0.23/0.52 (sK15 = $false) | ($true = (f @ sK15)) | spl1_3),
% 0.23/0.52 inference(not_proxy_clausification,[],[f450])).
% 0.23/0.52 thf(f450,plain,(
% 0.23/0.52 ($true = (f @ sK15)) | ((~ sK15) = $true) | spl1_3),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f449])).
% 0.23/0.52 thf(f191,plain,(
% 0.23/0.52 ~spl1_3 | spl1_7),
% 0.23/0.52 inference(avatar_split_clause,[],[f53,f186,f156])).
% 0.23/0.52 thf(f53,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((~ != f) | ((sK4 @ X0) != X0) | (sK0 != X0) | ((sK4 @ X0) != sK0)) )),
% 0.23/0.52 inference(equality_proxy_clausification,[],[f52])).
% 0.23/0.52 thf(f52,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((sK0 != X0) | ((sK4 @ X0) != X0) | ((~ = f) = $false) | ((sK4 @ X0) != sK0)) )),
% 0.23/0.52 inference(equality_proxy_clausification,[],[f51])).
% 0.23/0.52 thf(f51,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((sK0 != X0) | ((sK0 = (sK4 @ X0)) = $false) | ((sK4 @ X0) != X0) | ((~ = f) = $false)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f50])).
% 0.23/0.52 thf(f50,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((sK0 != X0) | ((sK4 @ X0) != X0) | (((~ = f) & (sK0 = (sK4 @ X0))) = $false)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f48])).
% 0.23/0.52 thf(f48,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((((~ = f) & (sK0 = (sK4 @ X0))) | ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0)))) = $false) | ((sK4 @ X0) != X0) | (sK0 != X0)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f46])).
% 0.23/0.52 thf(f46,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((((((~ = f) & (sK0 = (sK4 @ X0))) | ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0)))) | ((f = (^[Y0 : $o]: ($true))) & (sK0 = (sK4 @ X0)))) = $false) | ((sK4 @ X0) != X0) | (sK0 != X0)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f44])).
% 0.23/0.52 thf(f44,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((((((~ = f) & (sK0 = (sK4 @ X0))) | ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0)))) | ((f = (^[Y0 : $o]: ($true))) & (sK0 = (sK4 @ X0)))) | ((sK0 = (sK4 @ X0)) & ((^[Y0 : $o]: (Y0)) = f))) = $false) | ((sK4 @ X0) != X0) | (sK0 != X0)) )),
% 0.23/0.52 inference(equality_proxy_clausification,[],[f43])).
% 0.23/0.52 thf(f43,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((X0 = (sK4 @ X0)) = $false) | (sK0 != X0) | ((((((~ = f) & (sK0 = (sK4 @ X0))) | ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0)))) | ((f = (^[Y0 : $o]: ($true))) & (sK0 = (sK4 @ X0)))) | ((sK0 = (sK4 @ X0)) & ((^[Y0 : $o]: (Y0)) = f))) = $false)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f41])).
% 0.23/0.52 thf(f41,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((sK0 != X0) | ((((((~ = f) & (sK0 = (sK4 @ X0))) | ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0)))) | ((f = (^[Y0 : $o]: ($true))) & (sK0 = (sK4 @ X0)))) | ((sK0 = (sK4 @ X0)) & ((^[Y0 : $o]: (Y0)) = f))) != (X0 = (sK4 @ X0)))) )),
% 0.23/0.52 inference(beta_eta_normalization,[],[f40])).
% 0.23/0.52 thf(f40,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((((^[Y0 : $i]: (((((~ = f) & (sK0 = Y0)) | ((f = (^[Y1 : $o]: ($false))) & (sK0 = Y0))) | ((f = (^[Y1 : $o]: ($true))) & (sK0 = Y0))) | ((sK0 = Y0) & ((^[Y1 : $o]: (Y1)) = f)))) @ (sK4 @ X0)) != (X0 = (sK4 @ X0))) | (sK0 != X0)) )),
% 0.23/0.52 inference(negative_extensionality,[],[f32])).
% 0.23/0.52 thf(f32,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((= @ X0) != (^[Y0 : $i]: (((((~ = f) & (sK0 = Y0)) | ((f = (^[Y1 : $o]: ($false))) & (sK0 = Y0))) | ((f = (^[Y1 : $o]: ($true))) & (sK0 = Y0))) | ((sK0 = Y0) & ((^[Y1 : $o]: (Y1)) = f))))) | (sK0 != X0)) )),
% 0.23/0.52 inference(constrained_superposition,[],[f19,f20])).
% 0.23/0.52 thf(f20,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((eps @ (= @ X0)) = X0)) )),
% 0.23/0.52 inference(leibniz_equality_elimination,[],[f16])).
% 0.23/0.52 thf(f19,plain,(
% 0.23/0.52 ((eps @ (^[Y0 : $i]: (((((~ = f) & (sK0 = Y0)) | ((f = (^[Y1 : $o]: ($false))) & (sK0 = Y0))) | ((f = (^[Y1 : $o]: ($true))) & (sK0 = Y0))) | ((sK0 = Y0) & ((^[Y1 : $o]: (Y1)) = f))))) != sK0)),
% 0.23/0.52 inference(beta_eta_normalization,[],[f18])).
% 0.23/0.52 thf(f18,plain,(
% 0.23/0.52 (((^[Y0 : $o > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (eps @ (^[Y5 : $i]: (((((~ = Y0) & (Y2 = Y5)) | ((Y0 = (^[Y6 : $o]: ($false))) & (Y1 = Y5))) | ((Y0 = (^[Y6 : $o]: ($true))) & (Y4 = Y5))) | ((Y3 = Y5) & ((^[Y6 : $o]: (Y6)) = Y0)))))))))))))) @ f @ sK0 @ sK0 @ sK0 @ sK0) != sK0)),
% 0.23/0.52 inference(definition_unfolding,[],[f17,f15])).
% 0.23/0.52 thf(f15,plain,(
% 0.23/0.52 (case = (^[Y0 : $o > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (eps @ (^[Y5 : $i]: (((((~ = Y0) & (Y2 = Y5)) | ((Y0 = (^[Y6 : $o]: ($false))) & (Y1 = Y5))) | ((Y0 = (^[Y6 : $o]: ($true))) & (Y4 = Y5))) | ((Y3 = Y5) & ((^[Y6 : $o]: (Y6)) = Y0)))))))))))))))),
% 0.23/0.52 inference(cnf_transformation,[],[f7])).
% 0.23/0.52 thf(f7,plain,(
% 0.23/0.52 (case = (^[Y0 : $o > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (eps @ (^[Y5 : $i]: (((((~ = Y0) & (Y2 = Y5)) | ((Y0 = (^[Y6 : $o]: ($false))) & (Y1 = Y5))) | ((Y0 = (^[Y6 : $o]: ($true))) & (Y4 = Y5))) | ((Y3 = Y5) & ((^[Y6 : $o]: (Y6)) = Y0)))))))))))))))),
% 0.23/0.52 inference(fool_elimination,[],[f6])).
% 0.23/0.52 thf(f6,plain,(
% 0.23/0.52 (case = (^[X0 : $o > $o, X1 : $i, X2 : $i, X3 : $i, X4 : $i] : (eps @ (^[X5 : $i] : ((((^[X6 : $o] : (X6)) = X0) & (X3 = X5)) | ((X4 = X5) & (X0 = (^[X7 : $o] : ($true)))) | ((X1 = X5) & (X0 = (^[X8 : $o] : ($false)))) | ((X2 = X5) & (~ = X0)))))))),
% 0.23/0.52 inference(rectify,[],[f2])).
% 0.23/0.52 thf(f2,axiom,(
% 0.23/0.52 (case = (^[X2 : $o > $o, X1 : $i, X3 : $i, X4 : $i, X5 : $i] : (eps @ (^[X6 : $i] : ((((^[X7 : $o] : (X7)) = X2) & (X4 = X6)) | ((X5 = X6) & (X2 = (^[X7 : $o] : ($true)))) | ((X1 = X6) & (X2 = (^[X7 : $o] : ($false)))) | ((X3 = X6) & (~ = X2)))))))),
% 0.23/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',caseood)).
% 0.23/0.52 thf(f17,plain,(
% 0.23/0.52 ((case @ f @ sK0 @ sK0 @ sK0 @ sK0) != sK0)),
% 0.23/0.52 inference(cnf_transformation,[],[f14])).
% 0.23/0.52 thf(f14,plain,(
% 0.23/0.52 ((case @ f @ sK0 @ sK0 @ sK0 @ sK0) != sK0)),
% 0.23/0.52 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f12,f13])).
% 0.23/0.52 thf(f13,plain,(
% 0.23/0.52 ? [X0] : ((case @ f @ X0 @ X0 @ X0 @ X0) != X0) => ((case @ f @ sK0 @ sK0 @ sK0 @ sK0) != sK0)),
% 0.23/0.52 introduced(choice_axiom,[])).
% 0.23/0.52 thf(f12,plain,(
% 0.23/0.52 ? [X0] : ((case @ f @ X0 @ X0 @ X0 @ X0) != X0)),
% 0.23/0.52 inference(ennf_transformation,[],[f10])).
% 0.23/0.52 thf(f10,plain,(
% 0.23/0.52 ~! [X0] : ((case @ f @ X0 @ X0 @ X0 @ X0) = X0)),
% 0.23/0.52 inference(rectify,[],[f4])).
% 0.23/0.52 thf(f4,negated_conjecture,(
% 0.23/0.52 ~! [X1] : ((case @ f @ X1 @ X1 @ X1 @ X1) = X1)),
% 0.23/0.52 inference(negated_conjecture,[],[f3])).
% 0.23/0.52 thf(f3,conjecture,(
% 0.23/0.52 ! [X1] : ((case @ f @ X1 @ X1 @ X1 @ X1) = X1)),
% 0.23/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.23/0.52 thf(f190,plain,(
% 0.23/0.52 spl1_7 | ~spl1_4),
% 0.23/0.52 inference(avatar_split_clause,[],[f56,f161,f186])).
% 0.23/0.52 thf(f56,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((sK0 != X0) | (f != (^[Y0 : $o]: ($false))) | ((sK4 @ X0) != X0) | ((sK4 @ X0) != sK0)) )),
% 0.23/0.52 inference(equality_proxy_clausification,[],[f55])).
% 0.23/0.52 thf(f55,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((f = (^[Y0 : $o]: ($false))) = $false) | ((sK4 @ X0) != X0) | (sK0 != X0) | ((sK4 @ X0) != sK0)) )),
% 0.23/0.52 inference(equality_proxy_clausification,[],[f54])).
% 0.23/0.52 thf(f54,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((sK0 = (sK4 @ X0)) = $false) | (sK0 != X0) | ((f = (^[Y0 : $o]: ($false))) = $false) | ((sK4 @ X0) != X0)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f49])).
% 0.23/0.52 thf(f49,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((sK4 @ X0) != X0) | (sK0 != X0) | (((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0))) = $false)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f48])).
% 0.23/0.52 thf(f189,plain,(
% 0.23/0.52 ~spl1_5 | spl1_7),
% 0.23/0.52 inference(avatar_split_clause,[],[f59,f186,f171])).
% 0.23/0.52 thf(f59,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((f != (^[Y0 : $o]: ($true))) | ((sK4 @ X0) != X0) | ((sK4 @ X0) != sK0) | (sK0 != X0)) )),
% 0.23/0.52 inference(equality_proxy_clausification,[],[f58])).
% 0.23/0.52 thf(f58,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((sK4 @ X0) != X0) | (f != (^[Y0 : $o]: ($true))) | (sK0 != X0) | ((sK0 = (sK4 @ X0)) = $false)) )),
% 0.23/0.52 inference(equality_proxy_clausification,[],[f57])).
% 0.23/0.52 thf(f57,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((sK0 != X0) | ((sK4 @ X0) != X0) | ((f = (^[Y0 : $o]: ($true))) = $false) | ((sK0 = (sK4 @ X0)) = $false)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f47])).
% 0.23/0.52 thf(f47,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((sK0 != X0) | (((f = (^[Y0 : $o]: ($true))) & (sK0 = (sK4 @ X0))) = $false) | ((sK4 @ X0) != X0)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f46])).
% 0.23/0.52 thf(f188,plain,(
% 0.23/0.52 ~spl1_1 | spl1_7),
% 0.23/0.52 inference(avatar_split_clause,[],[f62,f186,f148])).
% 0.23/0.52 thf(f62,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((sK4 @ X0) != X0) | (sK0 != X0) | ((sK4 @ X0) != sK0) | (f != (^[Y0 : $o]: (Y0)))) )),
% 0.23/0.52 inference(equality_proxy_clausification,[],[f61])).
% 0.23/0.52 thf(f61,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((f != (^[Y0 : $o]: (Y0))) | (sK0 != X0) | ((sK4 @ X0) != X0) | ((sK0 = (sK4 @ X0)) = $false)) )),
% 0.23/0.52 inference(equality_proxy_clausification,[],[f60])).
% 0.23/0.52 thf(f60,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((sK4 @ X0) != X0) | (((^[Y0 : $o]: (Y0)) = f) = $false) | ((sK0 = (sK4 @ X0)) = $false) | (sK0 != X0)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f45])).
% 0.23/0.52 thf(f45,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((((sK0 = (sK4 @ X0)) & ((^[Y0 : $o]: (Y0)) = f)) = $false) | (sK0 != X0) | ((sK4 @ X0) != X0)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f44])).
% 0.23/0.52 thf(f166,plain,(
% 0.23/0.52 spl1_2),
% 0.23/0.52 inference(avatar_split_clause,[],[f124,f152])).
% 0.23/0.52 thf(f124,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((sK4 @ X0) = X0) | ((sK4 @ X0) = sK0) | (sK0 != X0)) )),
% 0.23/0.52 inference(duplicate_literal_removal,[],[f123])).
% 0.23/0.52 thf(f123,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((sK4 @ X0) = sK0) | ((sK4 @ X0) = X0) | ((sK4 @ X0) = sK0) | (sK0 != X0)) )),
% 0.23/0.52 inference(equality_proxy_clausification,[],[f120])).
% 0.23/0.52 thf(f120,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((sK0 != X0) | ($true = (sK0 = (sK4 @ X0))) | ((sK4 @ X0) = sK0) | ((sK4 @ X0) = X0)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f119])).
% 0.23/0.52 thf(f119,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((sK0 != X0) | ((sK4 @ X0) = sK0) | ((sK4 @ X0) = X0) | ($true = ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0))))) )),
% 0.23/0.52 inference(duplicate_literal_removal,[],[f118])).
% 0.23/0.52 thf(f118,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((sK4 @ X0) = sK0) | ($true = ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0)))) | (sK0 != X0) | ((sK4 @ X0) = sK0) | ((sK4 @ X0) = X0)) )),
% 0.23/0.52 inference(equality_proxy_clausification,[],[f110])).
% 0.23/0.52 thf(f110,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((sK4 @ X0) = X0) | ($true = (sK0 = (sK4 @ X0))) | ((sK4 @ X0) = sK0) | ($true = ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0)))) | (sK0 != X0)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f109])).
% 0.23/0.52 thf(f109,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((sK4 @ X0) = X0) | (((~ = f) & (sK0 = (sK4 @ X0))) = $true) | ($true = ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0)))) | ((sK4 @ X0) = sK0) | (sK0 != X0)) )),
% 0.23/0.52 inference(equality_proxy_clausification,[],[f108])).
% 0.23/0.52 thf(f108,plain,(
% 0.23/0.52 ( ! [X0 : $i] : ((sK0 != X0) | ((sK4 @ X0) = X0) | ($true = (sK0 = (sK4 @ X0))) | (((~ = f) & (sK0 = (sK4 @ X0))) = $true) | ($true = ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0))))) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f107])).
% 0.23/0.52 thf(f107,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((sK4 @ X0) = X0) | ((((~ = f) & (sK0 = (sK4 @ X0))) | ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0)))) = $true) | (sK0 != X0) | ($true = (sK0 = (sK4 @ X0)))) )),
% 0.23/0.52 inference(duplicate_literal_removal,[],[f106])).
% 0.23/0.52 thf(f106,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((((~ = f) & (sK0 = (sK4 @ X0))) | ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0)))) = $true) | ((sK4 @ X0) = X0) | ($true = (sK0 = (sK4 @ X0))) | ($true = (sK0 = (sK4 @ X0))) | (sK0 != X0)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f104])).
% 0.23/0.52 thf(f104,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (($true = ((sK0 = (sK4 @ X0)) & ((^[Y0 : $o]: (Y0)) = f))) | ($true = (sK0 = (sK4 @ X0))) | (sK0 != X0) | ((sK4 @ X0) = X0) | ((((~ = f) & (sK0 = (sK4 @ X0))) | ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0)))) = $true)) )),
% 0.23/0.52 inference(equality_proxy_clausification,[],[f65])).
% 0.23/0.52 thf(f65,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((X0 = (sK4 @ X0)) = $true) | ($true = (sK0 = (sK4 @ X0))) | ((((~ = f) & (sK0 = (sK4 @ X0))) | ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0)))) = $true) | ($true = ((sK0 = (sK4 @ X0)) & ((^[Y0 : $o]: (Y0)) = f))) | (sK0 != X0)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f64])).
% 0.23/0.52 thf(f64,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (($true = ((f = (^[Y0 : $o]: ($true))) & (sK0 = (sK4 @ X0)))) | ((X0 = (sK4 @ X0)) = $true) | (sK0 != X0) | ((((~ = f) & (sK0 = (sK4 @ X0))) | ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0)))) = $true) | ($true = ((sK0 = (sK4 @ X0)) & ((^[Y0 : $o]: (Y0)) = f)))) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f63])).
% 0.23/0.52 thf(f63,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (($true = ((((~ = f) & (sK0 = (sK4 @ X0))) | ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0)))) | ((f = (^[Y0 : $o]: ($true))) & (sK0 = (sK4 @ X0))))) | ((X0 = (sK4 @ X0)) = $true) | ($true = ((sK0 = (sK4 @ X0)) & ((^[Y0 : $o]: (Y0)) = f))) | (sK0 != X0)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f42])).
% 0.23/0.52 thf(f42,plain,(
% 0.23/0.52 ( ! [X0 : $i] : (((((((~ = f) & (sK0 = (sK4 @ X0))) | ((f = (^[Y0 : $o]: ($false))) & (sK0 = (sK4 @ X0)))) | ((f = (^[Y0 : $o]: ($true))) & (sK0 = (sK4 @ X0)))) | ((sK0 = (sK4 @ X0)) & ((^[Y0 : $o]: (Y0)) = f))) = $true) | (sK0 != X0) | ((X0 = (sK4 @ X0)) = $true)) )),
% 0.23/0.52 inference(binary_proxy_clausification,[],[f41])).
% 0.23/0.52 % SZS output end Proof for theBenchmark
% 0.23/0.52 % (22078)------------------------------
% 0.23/0.52 % (22078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (22078)Termination reason: Refutation
% 0.23/0.52
% 0.23/0.52 % (22078)Memory used [KB]: 6012
% 0.23/0.52 % (22078)Time elapsed: 0.050 s
% 0.23/0.52 % (22078)Instructions burned: 68 (million)
% 0.23/0.52 % (22078)------------------------------
% 0.23/0.52 % (22078)------------------------------
% 0.23/0.52 % (22044)Success in time 0.148 s
% 0.23/0.52 % Vampire---4.8 exiting
%------------------------------------------------------------------------------