TSTP Solution File: SEV254^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV254^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n004.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 : Sun May 5 09:41:55 EDT 2024
% Result : Theorem 1.44s 0.54s
% Output : Refutation 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEV254^5 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15 % 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 : n004.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 : Fri May 3 11:44:48 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.RXXtubUKjr/Vampire---4.8_17932
% 0.22/0.38 % (18216)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 Vampire---4 for (2999ds/4Mi)
% 0.22/0.38 % (18218)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.38 % (18219)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.38 % (18221)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.38 % (18215)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.22/0.38 % (18217)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 Vampire---4 for (2999ds/27Mi)
% 0.22/0.38 % (18218)Instruction limit reached!
% 0.22/0.38 % (18218)------------------------------
% 0.22/0.38 % (18218)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (18222)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.38 % (18218)Termination reason: Unknown
% 0.22/0.38 % (18218)Termination phase: shuffling
% 0.22/0.38 % (18219)Instruction limit reached!
% 0.22/0.38 % (18219)------------------------------
% 0.22/0.38 % (18219)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (18219)Termination reason: Unknown
% 0.22/0.38 % (18219)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (18219)Memory used [KB]: 895
% 0.22/0.38 % (18219)Time elapsed: 0.003 s
% 0.22/0.38 % (18219)Instructions burned: 2 (million)
% 0.22/0.38 % (18219)------------------------------
% 0.22/0.38 % (18219)------------------------------
% 0.22/0.38
% 0.22/0.38 % (18218)Memory used [KB]: 895
% 0.22/0.38 % (18218)Time elapsed: 0.003 s
% 0.22/0.38 % (18218)Instructions burned: 2 (million)
% 0.22/0.38 % (18218)------------------------------
% 0.22/0.38 % (18218)------------------------------
% 0.22/0.39 % (18222)Instruction limit reached!
% 0.22/0.39 % (18222)------------------------------
% 0.22/0.39 % (18222)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (18222)Termination reason: Unknown
% 0.22/0.39 % (18222)Termination phase: Preprocessing 3
% 0.22/0.39
% 0.22/0.39 % (18222)Memory used [KB]: 1023
% 0.22/0.39 % (18222)Time elapsed: 0.003 s
% 0.22/0.39 % (18222)Instructions burned: 3 (million)
% 0.22/0.39 % (18222)------------------------------
% 0.22/0.39 % (18222)------------------------------
% 0.22/0.39 % (18220)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.22/0.39 % (18216)Instruction limit reached!
% 0.22/0.39 % (18216)------------------------------
% 0.22/0.39 % (18216)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (18216)Termination reason: Unknown
% 0.22/0.39 % (18216)Termination phase: Property scanning
% 0.22/0.39
% 0.22/0.39 % (18216)Memory used [KB]: 1023
% 0.22/0.39 % (18216)Time elapsed: 0.005 s
% 0.22/0.39 % (18216)Instructions burned: 5 (million)
% 0.22/0.39 % (18216)------------------------------
% 0.22/0.39 % (18216)------------------------------
% 0.22/0.39 % (18217)Refutation not found, incomplete strategy
% 0.22/0.39 % (18217)------------------------------
% 0.22/0.39 % (18217)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (18217)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39
% 0.22/0.39
% 0.22/0.39 % (18217)Memory used [KB]: 5628
% 0.22/0.39 % (18217)Time elapsed: 0.008 s
% 0.22/0.39 % (18217)Instructions burned: 9 (million)
% 0.22/0.39 % (18217)------------------------------
% 0.22/0.39 % (18217)------------------------------
% 0.22/0.39 % (18221)Instruction limit reached!
% 0.22/0.39 % (18221)------------------------------
% 0.22/0.39 % (18221)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (18221)Termination reason: Unknown
% 0.22/0.40 % (18221)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (18221)Memory used [KB]: 5628
% 0.22/0.40 % (18221)Time elapsed: 0.014 s
% 0.22/0.40 % (18221)Instructions burned: 18 (million)
% 0.22/0.40 % (18221)------------------------------
% 0.22/0.40 % (18221)------------------------------
% 0.22/0.40 % (18228)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 Vampire---4 for (2999ds/15Mi)
% 0.22/0.40 % (18227)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 Vampire---4 for (2999ds/37Mi)
% 0.22/0.40 % (18229)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.40 % (18231)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 Vampire---4 for (2999ds/1041Mi)
% 0.22/0.40 % (18229)Instruction limit reached!
% 0.22/0.40 % (18229)------------------------------
% 0.22/0.40 % (18229)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (18229)Termination reason: Unknown
% 0.22/0.40 % (18229)Termination phase: Property scanning
% 0.22/0.40
% 0.22/0.40 % (18229)Memory used [KB]: 1023
% 0.22/0.40 % (18229)Time elapsed: 0.004 s
% 0.22/0.40 % (18229)Instructions burned: 4 (million)
% 0.22/0.40 % (18229)------------------------------
% 0.22/0.40 % (18229)------------------------------
% 0.22/0.41 % (18234)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.22/0.41 % (18228)Instruction limit reached!
% 0.22/0.41 % (18228)------------------------------
% 0.22/0.41 % (18228)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (18228)Termination reason: Unknown
% 0.22/0.41 % (18228)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (18228)Memory used [KB]: 5756
% 0.22/0.41 % (18228)Time elapsed: 0.012 s
% 0.22/0.41 % (18228)Instructions burned: 15 (million)
% 0.22/0.41 % (18228)------------------------------
% 0.22/0.41 % (18228)------------------------------
% 0.22/0.41 % (18234)Instruction limit reached!
% 0.22/0.41 % (18234)------------------------------
% 0.22/0.41 % (18234)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (18234)Termination reason: Unknown
% 0.22/0.41 % (18234)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (18234)Memory used [KB]: 1023
% 0.22/0.41 % (18234)Time elapsed: 0.006 s
% 0.22/0.41 % (18234)Instructions burned: 7 (million)
% 0.22/0.41 % (18234)------------------------------
% 0.22/0.41 % (18234)------------------------------
% 0.22/0.41 % (18238)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.22/0.42 % (18242)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 Vampire---4 for (2999ds/3Mi)
% 0.22/0.42 % (18242)Instruction limit reached!
% 0.22/0.42 % (18242)------------------------------
% 0.22/0.42 % (18242)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (18242)Termination reason: Unknown
% 0.22/0.42 % (18242)Termination phase: Preprocessing 3
% 0.22/0.42
% 0.22/0.42 % (18242)Memory used [KB]: 1023
% 0.22/0.42 % (18242)Time elapsed: 0.004 s
% 0.22/0.42 % (18242)Instructions burned: 3 (million)
% 0.22/0.42 % (18242)------------------------------
% 0.22/0.42 % (18242)------------------------------
% 0.22/0.42 % (18227)Instruction limit reached!
% 0.22/0.42 % (18227)------------------------------
% 0.22/0.42 % (18227)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (18227)Termination reason: Unknown
% 0.22/0.42 % (18227)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (18227)Memory used [KB]: 5884
% 0.22/0.42 % (18227)Time elapsed: 0.023 s
% 0.22/0.42 % (18227)Instructions burned: 38 (million)
% 0.22/0.42 % (18227)------------------------------
% 0.22/0.42 % (18227)------------------------------
% 0.22/0.42 % (18238)Instruction limit reached!
% 0.22/0.42 % (18238)------------------------------
% 0.22/0.42 % (18238)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (18238)Termination reason: Unknown
% 0.22/0.42 % (18238)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (18238)Memory used [KB]: 5628
% 0.22/0.42 % (18238)Time elapsed: 0.012 s
% 0.22/0.42 % (18238)Instructions burned: 16 (million)
% 0.22/0.42 % (18238)------------------------------
% 0.22/0.42 % (18238)------------------------------
% 0.22/0.42 % (18246)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 Vampire---4 for (2999ds/3Mi)
% 0.22/0.42 % (18220)Refutation not found, incomplete strategy
% 0.22/0.42 % (18220)------------------------------
% 0.22/0.42 % (18220)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (18247)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.22/0.42 % (18220)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 % (18220)Memory used [KB]: 5756
% 0.22/0.42 % (18220)Time elapsed: 0.040 s
% 0.22/0.42 % (18220)Instructions burned: 66 (million)
% 0.22/0.42 % (18220)------------------------------
% 0.22/0.42 % (18220)------------------------------
% 0.22/0.43 % (18246)Instruction limit reached!
% 0.22/0.43 % (18246)------------------------------
% 0.22/0.43 % (18246)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (18246)Termination reason: Unknown
% 0.22/0.43 % (18246)Termination phase: Preprocessing 3
% 0.22/0.43
% 0.22/0.43 % (18246)Memory used [KB]: 1023
% 0.22/0.43 % (18246)Time elapsed: 0.004 s
% 0.22/0.43 % (18246)Instructions burned: 4 (million)
% 0.22/0.43 % (18246)------------------------------
% 0.22/0.43 % (18246)------------------------------
% 0.22/0.43 % (18247)Instruction limit reached!
% 0.22/0.43 % (18247)------------------------------
% 0.22/0.43 % (18247)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (18247)Termination reason: Unknown
% 0.22/0.43 % (18247)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (18247)Memory used [KB]: 5500
% 0.22/0.43 % (18247)Time elapsed: 0.007 s
% 0.22/0.43 % (18247)Instructions burned: 8 (million)
% 0.22/0.43 % (18247)------------------------------
% 0.22/0.43 % (18247)------------------------------
% 0.22/0.43 % (18250)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.43 % (18251)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.22/0.43 % (18252)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.44 % (18250)Instruction limit reached!
% 0.22/0.44 % (18250)------------------------------
% 0.22/0.44 % (18250)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (18250)Termination reason: Unknown
% 0.22/0.44 % (18250)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (18250)Memory used [KB]: 5500
% 0.22/0.44 % (18250)Time elapsed: 0.004 s
% 0.22/0.44 % (18250)Instructions burned: 4 (million)
% 0.22/0.44 % (18250)------------------------------
% 0.22/0.44 % (18250)------------------------------
% 0.22/0.44 % (18251)Instruction limit reached!
% 0.22/0.44 % (18251)------------------------------
% 0.22/0.44 % (18251)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (18251)Termination reason: Unknown
% 0.22/0.44 % (18251)Termination phase: Property scanning
% 0.22/0.44
% 0.22/0.44 % (18251)Memory used [KB]: 1023
% 0.22/0.44 % (18251)Time elapsed: 0.004 s
% 0.22/0.44 % (18251)Instructions burned: 4 (million)
% 0.22/0.44 % (18251)------------------------------
% 0.22/0.44 % (18251)------------------------------
% 0.22/0.44 % (18254)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.22/0.44 % (18255)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.44 % (18255)Instruction limit reached!
% 0.22/0.44 % (18255)------------------------------
% 0.22/0.44 % (18255)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (18255)Termination reason: Unknown
% 0.22/0.44 % (18255)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (18255)Memory used [KB]: 5500
% 0.22/0.44 % (18255)Time elapsed: 0.005 s
% 0.22/0.44 % (18255)Instructions burned: 6 (million)
% 0.22/0.44 % (18255)------------------------------
% 0.22/0.44 % (18255)------------------------------
% 0.22/0.44 % (18258)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 Vampire---4 for (2999ds/902Mi)
% 0.22/0.45 % (18252)Instruction limit reached!
% 0.22/0.45 % (18252)------------------------------
% 0.22/0.45 % (18252)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (18252)Termination reason: Unknown
% 0.22/0.45 % (18252)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (18252)Memory used [KB]: 5628
% 0.22/0.45 % (18252)Time elapsed: 0.013 s
% 0.22/0.45 % (18252)Instructions burned: 18 (million)
% 0.22/0.45 % (18252)------------------------------
% 0.22/0.45 % (18252)------------------------------
% 0.22/0.45 % (18263)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 Vampire---4 for (2999ds/21Mi)
% 0.22/0.45 % (18264)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.22/0.45 % (18264)Instruction limit reached!
% 0.22/0.45 % (18264)------------------------------
% 0.22/0.45 % (18264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (18264)Termination reason: Unknown
% 0.22/0.45 % (18264)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (18264)Memory used [KB]: 5500
% 0.22/0.45 % (18264)Time elapsed: 0.005 s
% 0.22/0.45 % (18264)Instructions burned: 5 (million)
% 0.22/0.45 % (18264)------------------------------
% 0.22/0.45 % (18264)------------------------------
% 0.22/0.46 % (18273)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 Vampire---4 for (2999ds/6Mi)
% 0.22/0.46 % (18276)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.22/0.46 % (18273)Instruction limit reached!
% 0.22/0.46 % (18273)------------------------------
% 0.22/0.46 % (18273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (18273)Termination reason: Unknown
% 0.22/0.46 % (18273)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (18273)Memory used [KB]: 5500
% 0.22/0.46 % (18273)Time elapsed: 0.005 s
% 0.22/0.46 % (18273)Instructions burned: 6 (million)
% 0.22/0.46 % (18273)------------------------------
% 0.22/0.46 % (18273)------------------------------
% 0.22/0.46 % (18263)Instruction limit reached!
% 0.22/0.46 % (18263)------------------------------
% 0.22/0.46 % (18263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (18263)Termination reason: Unknown
% 0.22/0.46 % (18263)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (18263)Memory used [KB]: 5756
% 0.22/0.46 % (18263)Time elapsed: 0.016 s
% 0.22/0.46 % (18263)Instructions burned: 22 (million)
% 0.22/0.46 % (18263)------------------------------
% 0.22/0.46 % (18263)------------------------------
% 0.22/0.47 % (18280)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 Vampire---4 for (2999ds/779Mi)
% 0.22/0.47 % (18258)Refutation not found, incomplete strategy
% 0.22/0.47 % (18258)------------------------------
% 0.22/0.47 % (18258)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (18258)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47 % (18258)Memory used [KB]: 5756
% 0.22/0.47 % (18258)Time elapsed: 0.028 s
% 0.22/0.47 % (18258)Instructions burned: 41 (million)
% 0.22/0.47 % (18258)------------------------------
% 0.22/0.47 % (18258)------------------------------
% 0.22/0.48 % (18286)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 Vampire---4 for (2999ds/19Mi)
% 0.22/0.48 % (18289)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.22/0.49 % (18215)Instruction limit reached!
% 0.22/0.49 % (18215)------------------------------
% 0.22/0.49 % (18215)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (18215)Termination reason: Unknown
% 0.22/0.49 % (18215)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (18215)Memory used [KB]: 6908
% 0.22/0.49 % (18215)Time elapsed: 0.104 s
% 0.22/0.49 % (18215)Instructions burned: 184 (million)
% 0.22/0.49 % (18215)------------------------------
% 0.22/0.49 % (18215)------------------------------
% 0.22/0.49 % (18298)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.22/0.49 % (18286)Instruction limit reached!
% 0.22/0.49 % (18286)------------------------------
% 0.22/0.49 % (18286)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (18286)Termination reason: Unknown
% 0.22/0.49 % (18286)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (18286)Memory used [KB]: 5500
% 0.22/0.49 % (18286)Time elapsed: 0.013 s
% 0.22/0.49 % (18286)Instructions burned: 19 (million)
% 0.22/0.49 % (18286)------------------------------
% 0.22/0.49 % (18286)------------------------------
% 0.22/0.50 % (18298)Instruction limit reached!
% 0.22/0.50 % (18298)------------------------------
% 0.22/0.50 % (18298)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (18298)Termination reason: Unknown
% 0.22/0.50 % (18298)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (18298)Memory used [KB]: 5756
% 0.22/0.50 % (18298)Time elapsed: 0.014 s
% 0.22/0.50 % (18298)Instructions burned: 17 (million)
% 0.22/0.50 % (18298)------------------------------
% 0.22/0.50 % (18298)------------------------------
% 0.22/0.50 % (18307)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.22/0.50 % (18308)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.22/0.50 % (18307)Instruction limit reached!
% 0.22/0.50 % (18307)------------------------------
% 0.22/0.50 % (18307)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (18307)Termination reason: Unknown
% 0.22/0.50 % (18307)Termination phase: Preprocessing 3
% 0.22/0.50
% 0.22/0.50 % (18307)Memory used [KB]: 1023
% 0.22/0.50 % (18307)Time elapsed: 0.004 s
% 0.22/0.50 % (18307)Instructions burned: 4 (million)
% 0.22/0.50 % (18307)------------------------------
% 0.22/0.50 % (18307)------------------------------
% 0.22/0.51 % (18318)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.22/0.51 % (18276)Refutation not found, incomplete strategy
% 0.22/0.51 % (18276)------------------------------
% 0.22/0.51 % (18276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (18276)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.51
% 0.22/0.51
% 0.22/0.51 % (18276)Memory used [KB]: 5756
% 0.22/0.51 % (18276)Time elapsed: 0.055 s
% 0.22/0.51 % (18276)Instructions burned: 95 (million)
% 0.22/0.51 % (18276)------------------------------
% 0.22/0.51 % (18276)------------------------------
% 0.22/0.52 % (18324)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 0.22/0.52 % (18330)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 Vampire---4 for (2998ds/3Mi)
% 0.22/0.52 % (18308)Instruction limit reached!
% 0.22/0.52 % (18308)------------------------------
% 0.22/0.52 % (18308)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (18308)Termination reason: Unknown
% 0.22/0.52 % (18308)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (18308)Memory used [KB]: 5756
% 0.22/0.52 % (18308)Time elapsed: 0.019 s
% 0.22/0.52 % (18308)Instructions burned: 31 (million)
% 0.22/0.52 % (18308)------------------------------
% 0.22/0.52 % (18308)------------------------------
% 0.22/0.52 % (18330)Instruction limit reached!
% 0.22/0.52 % (18330)------------------------------
% 0.22/0.52 % (18330)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (18330)Termination reason: Unknown
% 0.22/0.52 % (18330)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (18330)Memory used [KB]: 5500
% 0.22/0.52 % (18330)Time elapsed: 0.003 s
% 0.22/0.52 % (18330)Instructions burned: 4 (million)
% 0.22/0.52 % (18330)------------------------------
% 0.22/0.52 % (18330)------------------------------
% 0.22/0.53 % (18280)Refutation not found, incomplete strategy
% 0.22/0.53 % (18280)------------------------------
% 0.22/0.53 % (18280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (18280)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.53
% 0.22/0.53
% 0.22/0.53 % (18280)Memory used [KB]: 6268
% 0.22/0.53 % (18280)Time elapsed: 0.063 s
% 0.22/0.53 % (18280)Instructions burned: 123 (million)
% 0.22/0.53 % (18280)------------------------------
% 0.22/0.53 % (18280)------------------------------
% 0.22/0.53 % (18289)First to succeed.
% 1.44/0.53 % (18335)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 Vampire---4 for (2998ds/86Mi)
% 1.44/0.54 % (18289)Refutation found. Thanks to Tanya!
% 1.44/0.54 % SZS status Theorem for Vampire---4
% 1.44/0.54 % SZS output start Proof for Vampire---4
% 1.44/0.54 thf(func_def_10, type, sK0: ($i > $o) > $i > $o).
% 1.44/0.54 thf(func_def_12, type, sK2: $i > $o).
% 1.44/0.54 thf(func_def_13, type, sK3: ($i > $o) > $i).
% 1.44/0.54 thf(func_def_14, type, sK4: ($i > $o) > $i).
% 1.44/0.54 thf(func_def_16, type, sK6: ($i > $o) > $i).
% 1.44/0.54 thf(func_def_17, type, sK7: $i > $o).
% 1.44/0.54 thf(func_def_20, type, ph9: !>[X0: $tType]:(X0)).
% 1.44/0.54 thf(func_def_22, type, sK10: $i > $o).
% 1.44/0.54 thf(f663,plain,(
% 1.44/0.54 $false),
% 1.44/0.54 inference(avatar_sat_refutation,[],[f36,f44,f48,f53,f58,f63,f67,f318,f335,f662])).
% 1.44/0.54 thf(f662,plain,(
% 1.44/0.54 ~spl8_1 | ~spl8_3 | ~spl8_5 | ~spl8_9),
% 1.44/0.54 inference(avatar_contradiction_clause,[],[f661])).
% 1.44/0.54 thf(f661,plain,(
% 1.44/0.54 $false | (~spl8_1 | ~spl8_3 | ~spl8_5 | ~spl8_9)),
% 1.44/0.54 inference(subsumption_resolution,[],[f660,f40])).
% 1.44/0.54 thf(f40,plain,(
% 1.44/0.54 ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) = $true) | ~spl8_3),
% 1.44/0.54 inference(avatar_component_clause,[],[f38])).
% 1.44/0.54 thf(f38,plain,(
% 1.44/0.54 spl8_3 <=> ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) = $true)),
% 1.44/0.54 introduced(avatar_definition,[new_symbols(naming,[spl8_3])])).
% 1.44/0.54 thf(f660,plain,(
% 1.44/0.54 ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) != $true) | (~spl8_1 | ~spl8_3 | ~spl8_5 | ~spl8_9)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f653])).
% 1.44/0.54 thf(f653,plain,(
% 1.44/0.54 ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) != $true) | ($true != $true) | (~spl8_1 | ~spl8_3 | ~spl8_5 | ~spl8_9)),
% 1.44/0.54 inference(superposition,[],[f66,f434])).
% 1.44/0.54 thf(f434,plain,(
% 1.44/0.54 ((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ (sK6 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))))) = $true) | (~spl8_1 | ~spl8_3 | ~spl8_5)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f433])).
% 1.44/0.54 thf(f433,plain,(
% 1.44/0.54 ((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ (sK6 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))))) = $true) | ($true = $false) | (~spl8_1 | ~spl8_3 | ~spl8_5)),
% 1.44/0.54 inference(forward_demodulation,[],[f424,f40])).
% 1.44/0.54 thf(f424,plain,(
% 1.44/0.54 ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) = $false) | ((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ (sK6 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))))) = $true) | (~spl8_1 | ~spl8_5)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f417])).
% 1.44/0.54 thf(f417,plain,(
% 1.44/0.54 ((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ (sK6 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))))) = $true) | ($true != $true) | ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) = $false) | (~spl8_1 | ~spl8_5)),
% 1.44/0.54 inference(superposition,[],[f32,f411])).
% 1.44/0.54 thf(f411,plain,(
% 1.44/0.54 ( ! [X17 : $i > $o] : (($true = (X17 @ (sK6 @ X17))) | ($false = (X17 @ sK5))) ) | ~spl8_5),
% 1.44/0.54 inference(not_proxy_clausification,[],[f410])).
% 1.44/0.54 thf(f410,plain,(
% 1.44/0.54 ( ! [X17 : $i > $o] : (($true = (~ (X17 @ sK5))) | ($true = (X17 @ (sK6 @ X17)))) ) | ~spl8_5),
% 1.44/0.54 inference(not_proxy_clausification,[],[f409])).
% 1.44/0.54 thf(f409,plain,(
% 1.44/0.54 ( ! [X17 : $i > $o] : (($false = (~ (X17 @ (sK6 @ X17)))) | ($true = (~ (X17 @ sK5)))) ) | ~spl8_5),
% 1.44/0.54 inference(beta_eta_normalization,[],[f408])).
% 1.44/0.54 thf(f408,plain,(
% 1.44/0.54 ( ! [X17 : $i > $o] : (((~ (X17 @ (sK6 @ (^[Y0 : $i]: (X17 @ Y0))))) = $false) | ($true = (~ (X17 @ sK5)))) ) | ~spl8_5),
% 1.44/0.54 inference(boolean_simplification,[],[f407])).
% 1.44/0.54 thf(f407,plain,(
% 1.44/0.54 ( ! [X17 : $i > $o] : (((~ (X17 @ (sK6 @ (^[Y0 : $i]: (~ (~ (X17 @ Y0))))))) = $false) | ($true = (~ (X17 @ sK5)))) ) | ~spl8_5),
% 1.44/0.54 inference(beta_eta_normalization,[],[f397])).
% 1.44/0.54 thf(f397,plain,(
% 1.44/0.54 ( ! [X17 : $i > $o] : (($true = ((^[Y0 : $i]: (~ (X17 @ Y0))) @ sK5)) | ($false = ((^[Y0 : $i]: (~ (X17 @ Y0))) @ (sK6 @ (^[Y0 : $i]: (~ ((^[Y1 : $i]: (~ (X17 @ Y1))) @ Y0))))))) ) | ~spl8_5),
% 1.44/0.54 inference(primitive_instantiation,[],[f361])).
% 1.44/0.54 thf(f361,plain,(
% 1.44/0.54 ( ! [X14 : $i > $o] : (($false = (X14 @ (sK6 @ (^[Y0 : $i]: (~ (X14 @ Y0)))))) | ($true = (X14 @ sK5))) ) | ~spl8_5),
% 1.44/0.54 inference(not_proxy_clausification,[],[f360])).
% 1.44/0.54 thf(f360,plain,(
% 1.44/0.54 ( ! [X14 : $i > $o] : (($true = (~ (X14 @ (sK6 @ (^[Y0 : $i]: (~ (X14 @ Y0))))))) | ($true = (X14 @ sK5))) ) | ~spl8_5),
% 1.44/0.54 inference(not_proxy_clausification,[],[f359])).
% 1.44/0.54 thf(f359,plain,(
% 1.44/0.54 ( ! [X14 : $i > $o] : (($true != (~ (X14 @ sK5))) | ($true = (~ (X14 @ (sK6 @ (^[Y0 : $i]: (~ (X14 @ Y0)))))))) ) | ~spl8_5),
% 1.44/0.54 inference(beta_eta_normalization,[],[f355])).
% 1.44/0.54 thf(f355,plain,(
% 1.44/0.54 ( ! [X14 : $i > $o] : (($true = ((^[Y0 : $i]: (~ (X14 @ Y0))) @ (sK6 @ (^[Y0 : $i]: (~ (X14 @ Y0)))))) | ($true != ((^[Y0 : $i]: (~ (X14 @ Y0))) @ sK5))) ) | ~spl8_5),
% 1.44/0.54 inference(primitive_instantiation,[],[f47])).
% 1.44/0.54 thf(f47,plain,(
% 1.44/0.54 ( ! [X11 : $i > $o] : (($true != (X11 @ sK5)) | ((X11 @ (sK6 @ X11)) = $true)) ) | ~spl8_5),
% 1.44/0.54 inference(avatar_component_clause,[],[f46])).
% 1.44/0.54 thf(f46,plain,(
% 1.44/0.54 spl8_5 <=> ! [X11 : $i > $o] : (((X11 @ (sK6 @ X11)) = $true) | ($true != (X11 @ sK5)))),
% 1.44/0.54 introduced(avatar_definition,[new_symbols(naming,[spl8_5])])).
% 1.44/0.54 thf(f32,plain,(
% 1.44/0.54 ( ! [X4 : $i] : (($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X4)) | ($true = (sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X4))) ) | ~spl8_1),
% 1.44/0.54 inference(avatar_component_clause,[],[f31])).
% 1.44/0.54 thf(f31,plain,(
% 1.44/0.54 spl8_1 <=> ! [X4] : (($true = (sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X4)) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X4)))),
% 1.44/0.54 introduced(avatar_definition,[new_symbols(naming,[spl8_1])])).
% 1.44/0.54 thf(f66,plain,(
% 1.44/0.54 ( ! [X11 : $i > $o] : (($true != (sK0 @ X11 @ (sK6 @ X11))) | ($true != (X11 @ sK5))) ) | ~spl8_9),
% 1.44/0.54 inference(avatar_component_clause,[],[f65])).
% 1.44/0.54 thf(f65,plain,(
% 1.44/0.54 spl8_9 <=> ! [X11 : $i > $o] : (($true != (sK0 @ X11 @ (sK6 @ X11))) | ($true != (X11 @ sK5)))),
% 1.44/0.54 introduced(avatar_definition,[new_symbols(naming,[spl8_9])])).
% 1.44/0.54 thf(f335,plain,(
% 1.44/0.54 spl8_3 | ~spl8_4 | ~spl8_6),
% 1.44/0.54 inference(avatar_contradiction_clause,[],[f334])).
% 1.44/0.54 thf(f334,plain,(
% 1.44/0.54 $false | (spl8_3 | ~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(subsumption_resolution,[],[f333,f76])).
% 1.44/0.54 thf(f76,plain,(
% 1.44/0.54 ($true = (sK7 @ (sK3 @ sK7))) | (spl8_3 | ~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(subsumption_resolution,[],[f75,f39])).
% 1.44/0.54 thf(f39,plain,(
% 1.44/0.54 ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) != $true) | spl8_3),
% 1.44/0.54 inference(avatar_component_clause,[],[f38])).
% 1.44/0.54 thf(f75,plain,(
% 1.44/0.54 ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) = $true) | ($true = (sK7 @ (sK3 @ sK7))) | (~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f73])).
% 1.44/0.54 thf(f73,plain,(
% 1.44/0.54 ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) = $true) | ($true != $true) | ($true = (sK7 @ (sK3 @ sK7))) | (~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(superposition,[],[f24,f71])).
% 1.44/0.54 thf(f71,plain,(
% 1.44/0.54 ($true = (sK0 @ sK7 @ sK5)) | (~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f70])).
% 1.44/0.54 thf(f70,plain,(
% 1.44/0.54 ($true = (sK0 @ sK7 @ sK5)) | ($true != $true) | (~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(superposition,[],[f43,f52])).
% 1.44/0.54 thf(f52,plain,(
% 1.44/0.54 ((sK7 @ sK5) = $true) | ~spl8_6),
% 1.44/0.54 inference(avatar_component_clause,[],[f50])).
% 1.44/0.54 thf(f50,plain,(
% 1.44/0.54 spl8_6 <=> ((sK7 @ sK5) = $true)),
% 1.44/0.54 introduced(avatar_definition,[new_symbols(naming,[spl8_6])])).
% 1.44/0.54 thf(f43,plain,(
% 1.44/0.54 ( ! [X14 : $i] : (((sK7 @ X14) != $true) | ($true = (sK0 @ sK7 @ X14))) ) | ~spl8_4),
% 1.44/0.54 inference(avatar_component_clause,[],[f42])).
% 1.44/0.54 thf(f42,plain,(
% 1.44/0.54 spl8_4 <=> ! [X14] : (($true = (sK0 @ sK7 @ X14)) | ((sK7 @ X14) != $true))),
% 1.44/0.54 introduced(avatar_definition,[new_symbols(naming,[spl8_4])])).
% 1.44/0.54 thf(f24,plain,(
% 1.44/0.54 ( ! [X6 : $i,X5 : $i > $o] : (($true != (sK0 @ X5 @ X6)) | ($true = (X5 @ (sK3 @ X5))) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X6))) )),
% 1.44/0.54 inference(cnf_transformation,[],[f19])).
% 1.44/0.54 thf(f19,plain,(
% 1.44/0.54 (((($true = (sK2 @ sK1)) & ! [X3] : (($true != (sK2 @ X3)) | ($true = (sK0 @ sK2 @ X3)))) & ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))) | ! [X4] : (($true = (sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X4)) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X4)))) & ! [X5 : $i > $o] : (! [X6] : (($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X6)) | ($true != (sK0 @ X5 @ X6))) | (! [X8 : $i > $o] : ((($true = (X8 @ (sK4 @ X8))) & ($true != (sK0 @ X8 @ (sK4 @ X8)))) | ($true != (X8 @ (sK3 @ X5)))) & ($true = (X5 @ (sK3 @ X5))))) & ((((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) != $true) | ! [X11 : $i > $o] : (($true != (X11 @ sK5)) | (((X11 @ (sK6 @ X11)) = $true) & ($true != (sK0 @ X11 @ (sK6 @ X11)))))) & (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) = $true) | (((sK7 @ sK5) = $true) & ! [X14] : (((sK7 @ X14) != $true) | ($true = (sK0 @ sK7 @ X14))))))),
% 1.44/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f10,f18,f17,f16,f15,f14,f13,f12,f11])).
% 1.44/0.54 thf(f11,plain,(
% 1.44/0.54 ? [X0 : ($i > $o) > $i > $o] : ((? [X1] : (? [X2 : $i > $o] : (($true = (X2 @ X1)) & ! [X3] : (($true != (X2 @ X3)) | ($true = (X0 @ X2 @ X3)))) & ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X1) != $true)) | ! [X4] : (($true = (X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X4)) | ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X4) != $true))) & ! [X5 : $i > $o] : (! [X6] : (((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X6) = $true) | ($true != (X0 @ X5 @ X6))) | ? [X7] : (! [X8 : $i > $o] : (? [X9] : (($true = (X8 @ X9)) & ($true != (X0 @ X8 @ X9))) | ($true != (X8 @ X7))) & ($true = (X5 @ X7)))) & ? [X10] : ((((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10) != $true) | ! [X11 : $i > $o] : (($true != (X11 @ X10)) | ? [X12] : (($true = (X11 @ X12)) & ($true != (X0 @ X11 @ X12))))) & (((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10) = $true) | ? [X13 : $i > $o] : (($true = (X13 @ X10)) & ! [X14] : (($true != (X13 @ X14)) | ($true = (X0 @ X13 @ X14))))))) => ((? [X1] : (? [X2 : $i > $o] : (($true = (X2 @ X1)) & ! [X3] : (($true != (X2 @ X3)) | ($true = (sK0 @ X2 @ X3)))) & ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X1))) | ! [X4] : (($true = (sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X4)) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X4)))) & ! [X5 : $i > $o] : (! [X6] : (($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X6)) | ($true != (sK0 @ X5 @ X6))) | ? [X7] : (! [X8 : $i > $o] : (? [X9] : (($true = (X8 @ X9)) & ($true != (sK0 @ X8 @ X9))) | ($true != (X8 @ X7))) & ($true = (X5 @ X7)))) & ? [X10] : ((($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X10)) | ! [X11 : $i > $o] : (($true != (X11 @ X10)) | ? [X12] : (($true = (X11 @ X12)) & ($true != (sK0 @ X11 @ X12))))) & (($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X10)) | ? [X13 : $i > $o] : (($true = (X13 @ X10)) & ! [X14] : (($true != (X13 @ X14)) | ($true = (sK0 @ X13 @ X14)))))))),
% 1.44/0.54 introduced(choice_axiom,[])).
% 1.44/0.54 thf(f12,plain,(
% 1.44/0.54 ? [X1] : (? [X2 : $i > $o] : (($true = (X2 @ X1)) & ! [X3] : (($true != (X2 @ X3)) | ($true = (sK0 @ X2 @ X3)))) & ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X1))) => (? [X2 : $i > $o] : (($true = (X2 @ sK1)) & ! [X3] : (($true != (X2 @ X3)) | ($true = (sK0 @ X2 @ X3)))) & ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1)))),
% 1.44/0.54 introduced(choice_axiom,[])).
% 1.44/0.54 thf(f13,plain,(
% 1.44/0.54 ? [X2 : $i > $o] : (($true = (X2 @ sK1)) & ! [X3] : (($true != (X2 @ X3)) | ($true = (sK0 @ X2 @ X3)))) => (($true = (sK2 @ sK1)) & ! [X3] : (($true != (sK2 @ X3)) | ($true = (sK0 @ sK2 @ X3))))),
% 1.44/0.54 introduced(choice_axiom,[])).
% 1.44/0.54 thf(f14,plain,(
% 1.44/0.54 ! [X5 : $i > $o] : (? [X7] : (! [X8 : $i > $o] : (? [X9] : (($true = (X8 @ X9)) & ($true != (sK0 @ X8 @ X9))) | ($true != (X8 @ X7))) & ($true = (X5 @ X7))) => (! [X8 : $i > $o] : (? [X9] : (($true = (X8 @ X9)) & ($true != (sK0 @ X8 @ X9))) | ($true != (X8 @ (sK3 @ X5)))) & ($true = (X5 @ (sK3 @ X5)))))),
% 1.44/0.54 introduced(choice_axiom,[])).
% 1.44/0.54 thf(f15,plain,(
% 1.44/0.54 ! [X8 : $i > $o] : (? [X9] : (($true = (X8 @ X9)) & ($true != (sK0 @ X8 @ X9))) => (($true = (X8 @ (sK4 @ X8))) & ($true != (sK0 @ X8 @ (sK4 @ X8)))))),
% 1.44/0.54 introduced(choice_axiom,[])).
% 1.44/0.54 thf(f16,plain,(
% 1.44/0.54 ? [X10] : ((($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X10)) | ! [X11 : $i > $o] : (($true != (X11 @ X10)) | ? [X12] : (($true = (X11 @ X12)) & ($true != (sK0 @ X11 @ X12))))) & (($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X10)) | ? [X13 : $i > $o] : (($true = (X13 @ X10)) & ! [X14] : (($true != (X13 @ X14)) | ($true = (sK0 @ X13 @ X14)))))) => ((((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) != $true) | ! [X11 : $i > $o] : (($true != (X11 @ sK5)) | ? [X12] : (($true = (X11 @ X12)) & ($true != (sK0 @ X11 @ X12))))) & (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) = $true) | ? [X13 : $i > $o] : (($true = (X13 @ sK5)) & ! [X14] : (($true != (X13 @ X14)) | ($true = (sK0 @ X13 @ X14))))))),
% 1.44/0.54 introduced(choice_axiom,[])).
% 1.44/0.54 thf(f17,plain,(
% 1.44/0.54 ! [X11 : $i > $o] : (? [X12] : (($true = (X11 @ X12)) & ($true != (sK0 @ X11 @ X12))) => (((X11 @ (sK6 @ X11)) = $true) & ($true != (sK0 @ X11 @ (sK6 @ X11)))))),
% 1.44/0.54 introduced(choice_axiom,[])).
% 1.44/0.54 thf(f18,plain,(
% 1.44/0.54 ? [X13 : $i > $o] : (($true = (X13 @ sK5)) & ! [X14] : (($true != (X13 @ X14)) | ($true = (sK0 @ X13 @ X14)))) => (((sK7 @ sK5) = $true) & ! [X14] : (((sK7 @ X14) != $true) | ($true = (sK0 @ sK7 @ X14))))),
% 1.44/0.54 introduced(choice_axiom,[])).
% 1.44/0.54 thf(f10,plain,(
% 1.44/0.54 ? [X0 : ($i > $o) > $i > $o] : ((? [X1] : (? [X2 : $i > $o] : (($true = (X2 @ X1)) & ! [X3] : (($true != (X2 @ X3)) | ($true = (X0 @ X2 @ X3)))) & ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X1) != $true)) | ! [X4] : (($true = (X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X4)) | ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X4) != $true))) & ! [X5 : $i > $o] : (! [X6] : (((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X6) = $true) | ($true != (X0 @ X5 @ X6))) | ? [X7] : (! [X8 : $i > $o] : (? [X9] : (($true = (X8 @ X9)) & ($true != (X0 @ X8 @ X9))) | ($true != (X8 @ X7))) & ($true = (X5 @ X7)))) & ? [X10] : ((((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10) != $true) | ! [X11 : $i > $o] : (($true != (X11 @ X10)) | ? [X12] : (($true = (X11 @ X12)) & ($true != (X0 @ X11 @ X12))))) & (((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10) = $true) | ? [X13 : $i > $o] : (($true = (X13 @ X10)) & ! [X14] : (($true != (X13 @ X14)) | ($true = (X0 @ X13 @ X14)))))))),
% 1.44/0.54 inference(rectify,[],[f9])).
% 1.44/0.54 thf(f9,plain,(
% 1.44/0.54 ? [X0 : ($i > $o) > $i > $o] : ((? [X6] : (? [X7 : $i > $o] : (($true = (X7 @ X6)) & ! [X8] : (($true != (X7 @ X8)) | ($true = (X0 @ X7 @ X8)))) & ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X6) != $true)) | ! [X9] : (($true = (X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X9)) | ($true != (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X9)))) & ! [X1 : $i > $o] : (! [X5] : (($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X5)) | ($true != (X0 @ X1 @ X5))) | ? [X2] : (! [X3 : $i > $o] : (? [X4] : (((X3 @ X4) = $true) & ((X0 @ X3 @ X4) != $true)) | ((X3 @ X2) != $true)) & ((X1 @ X2) = $true))) & ? [X10] : ((((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10) != $true) | ! [X11 : $i > $o] : (($true != (X11 @ X10)) | ? [X12] : (($true = (X11 @ X12)) & ($true != (X0 @ X11 @ X12))))) & (((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10) = $true) | ? [X11 : $i > $o] : (($true = (X11 @ X10)) & ! [X12] : (($true != (X11 @ X12)) | ($true = (X0 @ X11 @ X12)))))))),
% 1.44/0.54 inference(nnf_transformation,[],[f8])).
% 1.44/0.54 thf(f8,plain,(
% 1.44/0.54 ? [X0 : ($i > $o) > $i > $o] : ((? [X6] : (? [X7 : $i > $o] : (($true = (X7 @ X6)) & ! [X8] : (($true != (X7 @ X8)) | ($true = (X0 @ X7 @ X8)))) & ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X6) != $true)) | ! [X9] : (($true = (X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X9)) | ($true != (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X9)))) & ! [X1 : $i > $o] : (! [X5] : (($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X5)) | ($true != (X0 @ X1 @ X5))) | ? [X2] : (! [X3 : $i > $o] : (? [X4] : (((X3 @ X4) = $true) & ((X0 @ X3 @ X4) != $true)) | ((X3 @ X2) != $true)) & ((X1 @ X2) = $true))) & ? [X10] : (? [X11 : $i > $o] : (($true = (X11 @ X10)) & ! [X12] : (($true != (X11 @ X12)) | ($true = (X0 @ X11 @ X12)))) <~> ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10) = $true)))),
% 1.44/0.54 inference(flattening,[],[f7])).
% 1.44/0.54 thf(f7,plain,(
% 1.44/0.54 ? [X0 : ($i > $o) > $i > $o] : (? [X10] : (? [X11 : $i > $o] : (($true = (X11 @ X10)) & ! [X12] : (($true != (X11 @ X12)) | ($true = (X0 @ X11 @ X12)))) <~> ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10) = $true)) & ((? [X6] : (? [X7 : $i > $o] : (($true = (X7 @ X6)) & ! [X8] : (($true != (X7 @ X8)) | ($true = (X0 @ X7 @ X8)))) & ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X6) != $true)) | ! [X9] : (($true = (X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X9)) | ($true != (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X9)))) & ! [X1 : $i > $o] : (! [X5] : (($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X5)) | ($true != (X0 @ X1 @ X5))) | ? [X2] : (! [X3 : $i > $o] : (? [X4] : (((X3 @ X4) = $true) & ((X0 @ X3 @ X4) != $true)) | ((X3 @ X2) != $true)) & ((X1 @ X2) = $true)))))),
% 1.44/0.54 inference(ennf_transformation,[],[f6])).
% 1.44/0.54 thf(f6,plain,(
% 1.44/0.54 ~! [X0 : ($i > $o) > $i > $o] : (((! [X6] : (? [X7 : $i > $o] : (! [X8] : (($true = (X7 @ X8)) => ($true = (X0 @ X7 @ X8))) & ($true = (X7 @ X6))) => ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X6) = $true)) => ! [X9] : (($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X9)) => ($true = (X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X9)))) & ! [X1 : $i > $o] : (! [X2] : (((X1 @ X2) = $true) => ? [X3 : $i > $o] : (! [X4] : (((X3 @ X4) = $true) => ((X0 @ X3 @ X4) = $true)) & ((X3 @ X2) = $true))) => ! [X5] : (($true = (X0 @ X1 @ X5)) => ($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X5))))) => ! [X10] : (? [X11 : $i > $o] : (! [X12] : (($true = (X11 @ X12)) => ($true = (X0 @ X11 @ X12))) & ($true = (X11 @ X10))) <=> ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10) = $true)))),
% 1.44/0.54 inference(rectify,[],[f5])).
% 1.44/0.54 thf(f5,plain,(
% 1.44/0.54 ~! [X0 : ($i > $o) > $i > $o] : ((! [X1 : $i > $o] : (! [X2] : (((X1 @ X2) = $true) => ? [X3 : $i > $o] : (! [X4] : (((X3 @ X4) = $true) => ((X0 @ X3 @ X4) = $true)) & ((X3 @ X2) = $true))) => ! [X5] : (($true = (X0 @ X1 @ X5)) => ($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X5)))) & (! [X9] : (? [X10 : $i > $o] : (! [X11] : (($true = (X10 @ X11)) => ($true = (X0 @ X10 @ X11))) & ($true = (X10 @ X9))) => ($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X9))) => ! [X15] : (($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X15)) => ($true = (X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X15))))) => ! [X22] : (($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X22)) <=> ? [X26 : $i > $o] : (! [X27] : (($true = (X26 @ X27)) => ($true = (X0 @ X26 @ X27))) & ($true = (X26 @ X22)))))),
% 1.44/0.54 inference(fool_elimination,[],[f4])).
% 1.44/0.54 thf(f4,plain,(
% 1.44/0.54 ~! [X0 : ($i > $o) > $i > $o] : ((! [X1 : $i > $o] : (! [X2] : ((X1 @ X2) => ? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))) => ! [X5] : ((X0 @ X1 @ X5) => (X0 @ (^[X6 : $i] : (? [X7 : $i > $o] : (! [X8] : ((X7 @ X8) => (X0 @ X7 @ X8)) & (X7 @ X6)))) @ X5))) & (! [X9] : (? [X10 : $i > $o] : (! [X11] : ((X10 @ X11) => (X0 @ X10 @ X11)) & (X10 @ X9)) => (X0 @ (^[X12 : $i] : (? [X13 : $i > $o] : (! [X14] : ((X13 @ X14) => (X0 @ X13 @ X14)) & (X13 @ X12)))) @ X9)) => ! [X15] : ((X0 @ (^[X16 : $i] : (? [X17 : $i > $o] : (! [X18] : ((X17 @ X18) => (X0 @ X17 @ X18)) & (X17 @ X16)))) @ X15) => (X0 @ (X0 @ (^[X19 : $i] : (? [X20 : $i > $o] : (! [X21] : ((X20 @ X21) => (X0 @ X20 @ X21)) & (X20 @ X19))))) @ X15)))) => ! [X22] : ((X0 @ (^[X23 : $i] : (? [X24 : $i > $o] : (! [X25] : ((X24 @ X25) => (X0 @ X24 @ X25)) & (X24 @ X23)))) @ X22) <=> ? [X26 : $i > $o] : (! [X27] : ((X26 @ X27) => (X0 @ X26 @ X27)) & (X26 @ X22))))),
% 1.44/0.54 inference(rectify,[],[f2])).
% 1.44/0.54 thf(f2,negated_conjecture,(
% 1.44/0.54 ~! [X0 : ($i > $o) > $i > $o] : ((! [X1 : $i > $o] : (! [X2] : ((X1 @ X2) => ? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))) => ! [X2] : ((X0 @ X1 @ X2) => (X0 @ (^[X4 : $i] : (? [X3 : $i > $o] : (! [X5] : ((X3 @ X5) => (X0 @ X3 @ X5)) & (X3 @ X4)))) @ X2))) & (! [X1] : (? [X3 : $i > $o] : (! [X2] : ((X3 @ X2) => (X0 @ X3 @ X2)) & (X3 @ X1)) => (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1)) => ! [X1] : ((X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1) => (X0 @ (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))))) @ X1)))) => ! [X1] : ((X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1) <=> ? [X3 : $i > $o] : (! [X2] : ((X3 @ X2) => (X0 @ X3 @ X2)) & (X3 @ X1))))),
% 1.44/0.54 inference(negated_conjecture,[],[f1])).
% 1.44/0.54 thf(f1,conjecture,(
% 1.44/0.54 ! [X0 : ($i > $o) > $i > $o] : ((! [X1 : $i > $o] : (! [X2] : ((X1 @ X2) => ? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))) => ! [X2] : ((X0 @ X1 @ X2) => (X0 @ (^[X4 : $i] : (? [X3 : $i > $o] : (! [X5] : ((X3 @ X5) => (X0 @ X3 @ X5)) & (X3 @ X4)))) @ X2))) & (! [X1] : (? [X3 : $i > $o] : (! [X2] : ((X3 @ X2) => (X0 @ X3 @ X2)) & (X3 @ X1)) => (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1)) => ! [X1] : ((X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1) => (X0 @ (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))))) @ X1)))) => ! [X1] : ((X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1) <=> ? [X3 : $i > $o] : (! [X2] : ((X3 @ X2) => (X0 @ X3 @ X2)) & (X3 @ X1))))),
% 1.44/0.54 file('/export/starexec/sandbox/tmp/tmp.RXXtubUKjr/Vampire---4.8_17932',cTHM2C_pme)).
% 1.44/0.54 thf(f333,plain,(
% 1.44/0.54 ($true != (sK7 @ (sK3 @ sK7))) | (spl8_3 | ~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(subsumption_resolution,[],[f326,f39])).
% 1.44/0.54 thf(f326,plain,(
% 1.44/0.54 ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) = $true) | ($true != (sK7 @ (sK3 @ sK7))) | (spl8_3 | ~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f322])).
% 1.44/0.54 thf(f322,plain,(
% 1.44/0.54 ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) = $true) | ($true != $true) | ($true != (sK7 @ (sK3 @ sK7))) | (spl8_3 | ~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(superposition,[],[f171,f71])).
% 1.44/0.54 thf(f171,plain,(
% 1.44/0.54 ( ! [X0 : $i > $o,X1 : $i] : (($true != (sK0 @ X0 @ X1)) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X1)) | ($true != (sK7 @ (sK3 @ X0)))) ) | (spl8_3 | ~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f165])).
% 1.44/0.54 thf(f165,plain,(
% 1.44/0.54 ( ! [X0 : $i > $o,X1 : $i] : (($true != (sK0 @ X0 @ X1)) | ($true != $true) | ($true != (sK7 @ (sK3 @ X0))) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X1))) ) | (spl8_3 | ~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(superposition,[],[f25,f136])).
% 1.44/0.54 thf(f136,plain,(
% 1.44/0.54 ($true = (sK0 @ sK7 @ (sK4 @ sK7))) | (spl8_3 | ~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f135])).
% 1.44/0.54 thf(f135,plain,(
% 1.44/0.54 ($true != $true) | ($true = (sK0 @ sK7 @ (sK4 @ sK7))) | (spl8_3 | ~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(superposition,[],[f43,f129])).
% 1.44/0.54 thf(f129,plain,(
% 1.44/0.54 ($true = (sK7 @ (sK4 @ sK7))) | (spl8_3 | ~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f126])).
% 1.44/0.54 thf(f126,plain,(
% 1.44/0.54 ($true = (sK7 @ (sK4 @ sK7))) | ($true != $true) | (spl8_3 | ~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(superposition,[],[f86,f76])).
% 1.44/0.54 thf(f86,plain,(
% 1.44/0.54 ( ! [X0 : $i > $o] : (($true != (X0 @ (sK3 @ sK7))) | ((X0 @ (sK4 @ X0)) = $true)) ) | (spl8_3 | ~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(subsumption_resolution,[],[f83,f39])).
% 1.44/0.54 thf(f83,plain,(
% 1.44/0.54 ( ! [X0 : $i > $o] : (((X0 @ (sK4 @ X0)) = $true) | ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) = $true) | ($true != (X0 @ (sK3 @ sK7)))) ) | (~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f82])).
% 1.44/0.54 thf(f82,plain,(
% 1.44/0.54 ( ! [X0 : $i > $o] : (($true != (X0 @ (sK3 @ sK7))) | ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) = $true) | ((X0 @ (sK4 @ X0)) = $true) | ($true != $true)) ) | (~spl8_4 | ~spl8_6)),
% 1.44/0.54 inference(superposition,[],[f26,f71])).
% 1.44/0.54 thf(f26,plain,(
% 1.44/0.54 ( ! [X8 : $i > $o,X6 : $i,X5 : $i > $o] : (($true != (sK0 @ X5 @ X6)) | ($true = (X8 @ (sK4 @ X8))) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X6)) | ($true != (X8 @ (sK3 @ X5)))) )),
% 1.44/0.54 inference(cnf_transformation,[],[f19])).
% 1.44/0.54 thf(f25,plain,(
% 1.44/0.54 ( ! [X8 : $i > $o,X6 : $i,X5 : $i > $o] : (($true != (sK0 @ X8 @ (sK4 @ X8))) | ($true != (sK0 @ X5 @ X6)) | ($true != (X8 @ (sK3 @ X5))) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X6))) )),
% 1.44/0.54 inference(cnf_transformation,[],[f19])).
% 1.44/0.54 thf(f318,plain,(
% 1.44/0.54 ~spl8_2 | spl8_7 | ~spl8_8),
% 1.44/0.54 inference(avatar_contradiction_clause,[],[f317])).
% 1.44/0.54 thf(f317,plain,(
% 1.44/0.54 $false | (~spl8_2 | spl8_7 | ~spl8_8)),
% 1.44/0.54 inference(subsumption_resolution,[],[f316,f57])).
% 1.44/0.54 thf(f57,plain,(
% 1.44/0.54 ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1)) | spl8_7),
% 1.44/0.54 inference(avatar_component_clause,[],[f55])).
% 1.44/0.54 thf(f55,plain,(
% 1.44/0.54 spl8_7 <=> ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))),
% 1.44/0.54 introduced(avatar_definition,[new_symbols(naming,[spl8_7])])).
% 1.44/0.54 thf(f316,plain,(
% 1.44/0.54 ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1)) | (~spl8_2 | spl8_7 | ~spl8_8)),
% 1.44/0.54 inference(subsumption_resolution,[],[f284,f77])).
% 1.44/0.54 thf(f77,plain,(
% 1.44/0.54 ($true = (sK2 @ (sK3 @ sK2))) | (~spl8_2 | spl8_7 | ~spl8_8)),
% 1.44/0.54 inference(subsumption_resolution,[],[f74,f57])).
% 1.44/0.54 thf(f74,plain,(
% 1.44/0.54 ($true = (sK2 @ (sK3 @ sK2))) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1)) | (~spl8_2 | ~spl8_8)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f72])).
% 1.44/0.54 thf(f72,plain,(
% 1.44/0.54 ($true = (sK2 @ (sK3 @ sK2))) | ($true != $true) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1)) | (~spl8_2 | ~spl8_8)),
% 1.44/0.54 inference(superposition,[],[f24,f69])).
% 1.44/0.54 thf(f69,plain,(
% 1.44/0.54 ($true = (sK0 @ sK2 @ sK1)) | (~spl8_2 | ~spl8_8)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f68])).
% 1.44/0.54 thf(f68,plain,(
% 1.44/0.54 ($true = (sK0 @ sK2 @ sK1)) | ($true != $true) | (~spl8_2 | ~spl8_8)),
% 1.44/0.54 inference(superposition,[],[f35,f62])).
% 1.44/0.54 thf(f62,plain,(
% 1.44/0.54 ($true = (sK2 @ sK1)) | ~spl8_8),
% 1.44/0.54 inference(avatar_component_clause,[],[f60])).
% 1.44/0.54 thf(f60,plain,(
% 1.44/0.54 spl8_8 <=> ($true = (sK2 @ sK1))),
% 1.44/0.54 introduced(avatar_definition,[new_symbols(naming,[spl8_8])])).
% 1.44/0.54 thf(f35,plain,(
% 1.44/0.54 ( ! [X3 : $i] : (($true != (sK2 @ X3)) | ($true = (sK0 @ sK2 @ X3))) ) | ~spl8_2),
% 1.44/0.54 inference(avatar_component_clause,[],[f34])).
% 1.44/0.54 thf(f34,plain,(
% 1.44/0.54 spl8_2 <=> ! [X3] : (($true != (sK2 @ X3)) | ($true = (sK0 @ sK2 @ X3)))),
% 1.44/0.54 introduced(avatar_definition,[new_symbols(naming,[spl8_2])])).
% 1.44/0.54 thf(f284,plain,(
% 1.44/0.54 ($true != (sK2 @ (sK3 @ sK2))) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1)) | (~spl8_2 | spl8_7 | ~spl8_8)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f271])).
% 1.44/0.54 thf(f271,plain,(
% 1.44/0.54 ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1)) | ($true != (sK2 @ (sK3 @ sK2))) | ($true != $true) | (~spl8_2 | spl8_7 | ~spl8_8)),
% 1.44/0.54 inference(superposition,[],[f153,f69])).
% 1.44/0.54 thf(f153,plain,(
% 1.44/0.54 ( ! [X0 : $i > $o,X1 : $i] : (($true != (sK0 @ X0 @ X1)) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X1)) | ($true != (sK2 @ (sK3 @ X0)))) ) | (~spl8_2 | spl8_7 | ~spl8_8)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f147])).
% 1.44/0.54 thf(f147,plain,(
% 1.44/0.54 ( ! [X0 : $i > $o,X1 : $i] : (($true != $true) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X1)) | ($true != (sK2 @ (sK3 @ X0))) | ($true != (sK0 @ X0 @ X1))) ) | (~spl8_2 | spl8_7 | ~spl8_8)),
% 1.44/0.54 inference(superposition,[],[f25,f121])).
% 1.44/0.54 thf(f121,plain,(
% 1.44/0.54 ($true = (sK0 @ sK2 @ (sK4 @ sK2))) | (~spl8_2 | spl8_7 | ~spl8_8)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f120])).
% 1.44/0.54 thf(f120,plain,(
% 1.44/0.54 ($true != $true) | ($true = (sK0 @ sK2 @ (sK4 @ sK2))) | (~spl8_2 | spl8_7 | ~spl8_8)),
% 1.44/0.54 inference(superposition,[],[f35,f114])).
% 1.44/0.54 thf(f114,plain,(
% 1.44/0.54 ($true = (sK2 @ (sK4 @ sK2))) | (~spl8_2 | spl8_7 | ~spl8_8)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f111])).
% 1.44/0.54 thf(f111,plain,(
% 1.44/0.54 ($true != $true) | ($true = (sK2 @ (sK4 @ sK2))) | (~spl8_2 | spl8_7 | ~spl8_8)),
% 1.44/0.54 inference(superposition,[],[f85,f77])).
% 1.44/0.54 thf(f85,plain,(
% 1.44/0.54 ( ! [X0 : $i > $o] : (($true != (X0 @ (sK3 @ sK2))) | ((X0 @ (sK4 @ X0)) = $true)) ) | (~spl8_2 | spl8_7 | ~spl8_8)),
% 1.44/0.54 inference(subsumption_resolution,[],[f84,f57])).
% 1.44/0.54 thf(f84,plain,(
% 1.44/0.54 ( ! [X0 : $i > $o] : (($true != (X0 @ (sK3 @ sK2))) | ((X0 @ (sK4 @ X0)) = $true) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))) ) | (~spl8_2 | ~spl8_8)),
% 1.44/0.54 inference(trivial_inequality_removal,[],[f81])).
% 1.44/0.54 thf(f81,plain,(
% 1.44/0.54 ( ! [X0 : $i > $o] : (((X0 @ (sK4 @ X0)) = $true) | ($true != $true) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1)) | ($true != (X0 @ (sK3 @ sK2)))) ) | (~spl8_2 | ~spl8_8)),
% 1.44/0.54 inference(superposition,[],[f26,f69])).
% 1.44/0.54 thf(f67,plain,(
% 1.44/0.54 spl8_9 | ~spl8_3),
% 1.44/0.54 inference(avatar_split_clause,[],[f22,f38,f65])).
% 1.44/0.54 thf(f22,plain,(
% 1.44/0.54 ( ! [X11 : $i > $o] : (($true != (sK0 @ X11 @ (sK6 @ X11))) | ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) != $true) | ($true != (X11 @ sK5))) )),
% 1.44/0.54 inference(cnf_transformation,[],[f19])).
% 1.44/0.54 thf(f63,plain,(
% 1.44/0.54 spl8_8 | spl8_1),
% 1.44/0.54 inference(avatar_split_clause,[],[f29,f31,f60])).
% 1.44/0.54 thf(f29,plain,(
% 1.44/0.54 ( ! [X4 : $i] : (($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X4)) | ($true = (sK2 @ sK1)) | ($true = (sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X4))) )),
% 1.44/0.54 inference(cnf_transformation,[],[f19])).
% 1.44/0.54 thf(f58,plain,(
% 1.44/0.54 ~spl8_7 | spl8_1),
% 1.44/0.54 inference(avatar_split_clause,[],[f27,f31,f55])).
% 1.44/0.54 thf(f27,plain,(
% 1.44/0.54 ( ! [X4 : $i] : (($true = (sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X4)) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1)) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X4))) )),
% 1.44/0.54 inference(cnf_transformation,[],[f19])).
% 1.44/0.54 thf(f53,plain,(
% 1.44/0.54 spl8_6 | spl8_3),
% 1.44/0.54 inference(avatar_split_clause,[],[f21,f38,f50])).
% 1.44/0.54 thf(f21,plain,(
% 1.44/0.54 ((sK7 @ sK5) = $true) | ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) = $true)),
% 1.44/0.54 inference(cnf_transformation,[],[f19])).
% 1.44/0.54 thf(f48,plain,(
% 1.44/0.54 ~spl8_3 | spl8_5),
% 1.44/0.54 inference(avatar_split_clause,[],[f23,f46,f38])).
% 1.44/0.54 thf(f23,plain,(
% 1.44/0.54 ( ! [X11 : $i > $o] : (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) != $true) | ((X11 @ (sK6 @ X11)) = $true) | ($true != (X11 @ sK5))) )),
% 1.44/0.54 inference(cnf_transformation,[],[f19])).
% 1.44/0.54 thf(f44,plain,(
% 1.44/0.54 spl8_3 | spl8_4),
% 1.44/0.54 inference(avatar_split_clause,[],[f20,f42,f38])).
% 1.44/0.54 thf(f20,plain,(
% 1.44/0.54 ( ! [X14 : $i] : (($true = (sK0 @ sK7 @ X14)) | ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK5) = $true) | ((sK7 @ X14) != $true)) )),
% 1.44/0.54 inference(cnf_transformation,[],[f19])).
% 1.44/0.54 thf(f36,plain,(
% 1.44/0.54 spl8_1 | spl8_2),
% 1.44/0.54 inference(avatar_split_clause,[],[f28,f34,f31])).
% 1.44/0.54 thf(f28,plain,(
% 1.44/0.54 ( ! [X3 : $i,X4 : $i] : (($true != (sK2 @ X3)) | ($true = (sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X4)) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X4)) | ($true = (sK0 @ sK2 @ X3))) )),
% 1.44/0.54 inference(cnf_transformation,[],[f19])).
% 1.44/0.54 % SZS output end Proof for Vampire---4
% 1.44/0.54 % (18289)------------------------------
% 1.44/0.54 % (18289)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.54 % (18289)Termination reason: Refutation
% 1.44/0.54
% 1.44/0.54 % (18289)Memory used [KB]: 6012
% 1.44/0.54 % (18289)Time elapsed: 0.057 s
% 1.44/0.54 % (18289)Instructions burned: 96 (million)
% 1.44/0.54 % (18289)------------------------------
% 1.44/0.54 % (18289)------------------------------
% 1.44/0.54 % (18212)Success in time 0.149 s
% 1.44/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------