TSTP Solution File: SWV441^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV441^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n026.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 10:34:37 EDT 2024
% Result : Theorem 1.75s 0.60s
% Output : Refutation 1.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV441^1 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n026.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 21:02:08 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TH0_THM_EQU_NAR problem
% 0.15/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.EAlgdP6tGB/Vampire---4.8_26791
% 0.15/0.39 % (26933)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)
% 0.15/0.39 % (26936)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.39 % (26937)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)
% 0.15/0.39 % (26937)Instruction limit reached!
% 0.15/0.39 % (26937)------------------------------
% 0.15/0.39 % (26937)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (26938)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)
% 0.15/0.39 % (26937)Termination reason: Unknown
% 0.15/0.39 % (26937)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (26937)Memory used [KB]: 1023
% 0.15/0.39 % (26937)Time elapsed: 0.003 s
% 0.15/0.39 % (26937)Instructions burned: 2 (million)
% 0.15/0.39 % (26937)------------------------------
% 0.15/0.39 % (26937)------------------------------
% 0.15/0.39 % (26936)Instruction limit reached!
% 0.15/0.39 % (26936)------------------------------
% 0.15/0.39 % (26936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (26936)Termination reason: Unknown
% 0.15/0.39 % (26936)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (26936)Memory used [KB]: 1023
% 0.15/0.39 % (26936)Time elapsed: 0.004 s
% 0.15/0.39 % (26936)Instructions burned: 3 (million)
% 0.15/0.39 % (26936)------------------------------
% 0.15/0.39 % (26936)------------------------------
% 0.15/0.39 % (26940)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)
% 0.15/0.39 % (26938)Refutation not found, incomplete strategy
% 0.15/0.39 % (26938)------------------------------
% 0.15/0.39 % (26938)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (26938)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39
% 0.15/0.39
% 0.15/0.39 % (26938)Memory used [KB]: 5500
% 0.15/0.39 % (26938)Time elapsed: 0.006 s
% 0.15/0.39 % (26938)Instructions burned: 6 (million)
% 0.15/0.39 % (26938)------------------------------
% 0.15/0.39 % (26938)------------------------------
% 0.15/0.39 % (26940)Instruction limit reached!
% 0.15/0.39 % (26940)------------------------------
% 0.15/0.39 % (26940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (26940)Termination reason: Unknown
% 0.15/0.39 % (26940)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (26940)Memory used [KB]: 1023
% 0.15/0.39 % (26940)Time elapsed: 0.004 s
% 0.15/0.39 % (26940)Instructions burned: 3 (million)
% 0.15/0.39 % (26940)------------------------------
% 0.15/0.39 % (26940)------------------------------
% 0.15/0.40 % (26939)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.40 % (26934)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)
% 0.15/0.40 % (26934)Instruction limit reached!
% 0.15/0.40 % (26934)------------------------------
% 0.15/0.40 % (26934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (26934)Termination reason: Unknown
% 0.15/0.40 % (26934)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (26934)Memory used [KB]: 1023
% 0.15/0.40 % (26934)Time elapsed: 0.004 s
% 0.15/0.40 % (26934)Instructions burned: 5 (million)
% 0.15/0.40 % (26934)------------------------------
% 0.15/0.40 % (26934)------------------------------
% 0.15/0.40 % (26935)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)
% 0.22/0.40 % (26941)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 % (26939)Instruction limit reached!
% 0.22/0.40 % (26939)------------------------------
% 0.22/0.40 % (26939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (26939)Termination reason: Unknown
% 0.22/0.40 % (26939)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (26939)Memory used [KB]: 5628
% 0.22/0.40 % (26939)Time elapsed: 0.011 s
% 0.22/0.40 % (26939)Instructions burned: 18 (million)
% 0.22/0.40 % (26939)------------------------------
% 0.22/0.40 % (26939)------------------------------
% 0.22/0.40 % (26942)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)
% 0.22/0.41 % (26943)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)
% 0.22/0.41 % (26944)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)
% 0.22/0.41 % (26943)Instruction limit reached!
% 0.22/0.41 % (26943)------------------------------
% 0.22/0.41 % (26943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (26943)Termination reason: Unknown
% 0.22/0.41 % (26943)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (26943)Memory used [KB]: 1023
% 0.22/0.41 % (26943)Time elapsed: 0.004 s
% 0.22/0.41 % (26943)Instructions burned: 4 (million)
% 0.22/0.41 % (26943)------------------------------
% 0.22/0.41 % (26943)------------------------------
% 0.22/0.41 % (26942)Instruction limit reached!
% 0.22/0.41 % (26942)------------------------------
% 0.22/0.41 % (26942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (26942)Termination reason: Unknown
% 0.22/0.41 % (26942)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (26942)Memory used [KB]: 5628
% 0.22/0.41 % (26942)Time elapsed: 0.010 s
% 0.22/0.41 % (26942)Instructions burned: 16 (million)
% 0.22/0.41 % (26942)------------------------------
% 0.22/0.41 % (26942)------------------------------
% 0.22/0.41 % (26935)Instruction limit reached!
% 0.22/0.41 % (26935)------------------------------
% 0.22/0.41 % (26935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (26935)Termination reason: Unknown
% 0.22/0.41 % (26935)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (26935)Memory used [KB]: 5628
% 0.22/0.41 % (26935)Time elapsed: 0.015 s
% 0.22/0.41 % (26935)Instructions burned: 27 (million)
% 0.22/0.41 % (26935)------------------------------
% 0.22/0.41 % (26935)------------------------------
% 0.22/0.42 % (26945)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)
% 0.22/0.42 % (26946)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 % (26945)Instruction limit reached!
% 0.22/0.42 % (26945)------------------------------
% 0.22/0.42 % (26945)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (26945)Termination reason: Unknown
% 0.22/0.42 % (26945)Termination phase: Function definition elimination
% 0.22/0.42
% 0.22/0.42 % (26945)Memory used [KB]: 1023
% 0.22/0.42 % (26945)Time elapsed: 0.006 s
% 0.22/0.42 % (26945)Instructions burned: 7 (million)
% 0.22/0.42 % (26945)------------------------------
% 0.22/0.42 % (26945)------------------------------
% 0.22/0.42 % (26941)Instruction limit reached!
% 0.22/0.42 % (26941)------------------------------
% 0.22/0.42 % (26941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (26941)Termination reason: Unknown
% 0.22/0.42 % (26941)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (26941)Memory used [KB]: 5884
% 0.22/0.42 % (26941)Time elapsed: 0.021 s
% 0.22/0.42 % (26941)Instructions burned: 37 (million)
% 0.22/0.42 % (26941)------------------------------
% 0.22/0.42 % (26941)------------------------------
% 0.22/0.43 % (26947)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)
% 0.22/0.43 % (26946)Instruction limit reached!
% 0.22/0.43 % (26946)------------------------------
% 0.22/0.43 % (26946)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (26946)Termination reason: Unknown
% 0.22/0.43 % (26947)Instruction limit reached!
% 0.22/0.43 % (26947)------------------------------
% 0.22/0.43 % (26947)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (26947)Termination reason: Unknown
% 0.22/0.43 % (26947)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (26947)Memory used [KB]: 1023
% 0.22/0.43 % (26947)Time elapsed: 0.004 s
% 0.22/0.43 % (26947)Instructions burned: 4 (million)
% 0.22/0.43 % (26947)------------------------------
% 0.22/0.43 % (26947)------------------------------
% 0.22/0.43 % (26946)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (26946)Memory used [KB]: 5628
% 0.22/0.43 % (26946)Time elapsed: 0.010 s
% 0.22/0.43 % (26946)Instructions burned: 16 (million)
% 0.22/0.43 % (26946)------------------------------
% 0.22/0.43 % (26946)------------------------------
% 0.22/0.43 % (26948)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)
% 0.22/0.43 % (26949)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)
% 0.22/0.43 % (26948)Instruction limit reached!
% 0.22/0.43 % (26948)------------------------------
% 0.22/0.43 % (26948)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (26948)Termination reason: Unknown
% 0.22/0.43 % (26948)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (26948)Memory used [KB]: 1023
% 0.22/0.43 % (26948)Time elapsed: 0.004 s
% 0.22/0.43 % (26948)Instructions burned: 4 (million)
% 0.22/0.43 % (26948)------------------------------
% 0.22/0.43 % (26948)------------------------------
% 0.22/0.43 % (26949)Instruction limit reached!
% 0.22/0.43 % (26949)------------------------------
% 0.22/0.43 % (26949)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (26949)Termination reason: Unknown
% 0.22/0.43 % (26949)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (26949)Memory used [KB]: 1023
% 0.22/0.43 % (26949)Time elapsed: 0.006 s
% 0.22/0.43 % (26949)Instructions burned: 8 (million)
% 0.22/0.43 % (26949)------------------------------
% 0.22/0.43 % (26949)------------------------------
% 0.22/0.43 % (26950)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)
% 0.22/0.44 % (26950)Instruction limit reached!
% 0.22/0.44 % (26950)------------------------------
% 0.22/0.44 % (26950)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (26950)Termination reason: Unknown
% 0.22/0.44 % (26950)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (26950)Memory used [KB]: 1023
% 0.22/0.44 % (26950)Time elapsed: 0.004 s
% 0.22/0.44 % (26950)Instructions burned: 4 (million)
% 0.22/0.44 % (26950)------------------------------
% 0.22/0.44 % (26950)------------------------------
% 0.22/0.44 % (26951)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)
% 0.22/0.44 % (26951)Instruction limit reached!
% 0.22/0.44 % (26951)------------------------------
% 0.22/0.44 % (26951)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (26951)Termination reason: Unknown
% 0.22/0.44 % (26951)Termination phase: Property scanning
% 0.22/0.44
% 0.22/0.44 % (26951)Memory used [KB]: 1023
% 0.22/0.44 % (26951)Time elapsed: 0.004 s
% 0.22/0.44 % (26951)Instructions burned: 4 (million)
% 0.22/0.44 % (26951)------------------------------
% 0.22/0.44 % (26951)------------------------------
% 0.22/0.44 % (26952)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 % (26953)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 % (26954)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.45 % (26953)Refutation not found, incomplete strategy
% 0.22/0.45 % (26953)------------------------------
% 0.22/0.45 % (26953)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (26953)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45
% 0.22/0.45
% 0.22/0.45 % (26953)Memory used [KB]: 5628
% 0.22/0.45 % (26953)Time elapsed: 0.005 s
% 0.22/0.45 % (26953)Instructions burned: 6 (million)
% 0.22/0.45 % (26953)------------------------------
% 0.22/0.45 % (26953)------------------------------
% 0.22/0.45 % (26954)Instruction limit reached!
% 0.22/0.45 % (26954)------------------------------
% 0.22/0.45 % (26954)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (26954)Termination reason: Unknown
% 0.22/0.45 % (26954)Termination phase: Function definition elimination
% 0.22/0.45
% 0.22/0.45 % (26954)Memory used [KB]: 1023
% 0.22/0.45 % (26954)Time elapsed: 0.005 s
% 0.22/0.45 % (26954)Instructions burned: 6 (million)
% 0.22/0.45 % (26954)------------------------------
% 0.22/0.45 % (26954)------------------------------
% 0.22/0.45 % (26955)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 % (26956)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 % (26955)Refutation not found, incomplete strategy
% 0.22/0.45 % (26955)------------------------------
% 0.22/0.45 % (26955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (26955)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45
% 0.22/0.45
% 0.22/0.45 % (26955)Memory used [KB]: 5628
% 0.22/0.45 % (26955)Time elapsed: 0.027 s
% 0.22/0.45 % (26955)Instructions burned: 7 (million)
% 0.22/0.45 % (26955)------------------------------
% 0.22/0.45 % (26955)------------------------------
% 0.22/0.45 % (26952)Instruction limit reached!
% 0.22/0.45 % (26952)------------------------------
% 0.22/0.45 % (26952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (26952)Termination reason: Unknown
% 0.22/0.45 % (26952)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (26952)Memory used [KB]: 5628
% 0.22/0.45 % (26952)Time elapsed: 0.035 s
% 0.22/0.45 % (26952)Instructions burned: 19 (million)
% 0.22/0.45 % (26952)------------------------------
% 0.22/0.45 % (26952)------------------------------
% 0.22/0.45 % (26957)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.22/0.46 % (26957)Instruction limit reached!
% 0.22/0.46 % (26957)------------------------------
% 0.22/0.46 % (26957)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (26957)Termination reason: Unknown
% 0.22/0.46 % (26957)Termination phase: Function definition elimination
% 0.22/0.46
% 0.22/0.46 % (26957)Memory used [KB]: 1023
% 0.22/0.46 % (26957)Time elapsed: 0.005 s
% 0.22/0.46 % (26957)Instructions burned: 6 (million)
% 0.22/0.46 % (26957)------------------------------
% 0.22/0.46 % (26957)------------------------------
% 0.22/0.46 % (26958)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 % (26956)Instruction limit reached!
% 0.22/0.46 % (26956)------------------------------
% 0.22/0.46 % (26956)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (26956)Termination reason: Unknown
% 0.22/0.46 % (26956)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (26956)Memory used [KB]: 5628
% 0.22/0.46 % (26956)Time elapsed: 0.035 s
% 0.22/0.46 % (26956)Instructions burned: 21 (million)
% 0.22/0.46 % (26956)------------------------------
% 0.22/0.46 % (26956)------------------------------
% 0.22/0.46 % (26959)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 % (26958)Instruction limit reached!
% 0.22/0.46 % (26958)------------------------------
% 0.22/0.46 % (26958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (26958)Termination reason: Unknown
% 0.22/0.46 % (26958)Termination phase: Property scanning
% 0.22/0.46
% 0.22/0.46 % (26958)Memory used [KB]: 1023
% 0.22/0.46 % (26958)Time elapsed: 0.003 s
% 0.22/0.46 % (26958)Instructions burned: 7 (million)
% 0.22/0.46 % (26958)------------------------------
% 0.22/0.46 % (26958)------------------------------
% 0.22/0.47 % (26960)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 % (26961)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)
% 0.22/0.47 % (26964)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.47 % (26964)Instruction limit reached!
% 0.22/0.47 % (26964)------------------------------
% 0.22/0.47 % (26964)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (26964)Termination reason: Unknown
% 0.22/0.47 % (26964)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (26964)Memory used [KB]: 1023
% 0.22/0.47 % (26964)Time elapsed: 0.002 s
% 0.22/0.47 % (26964)Instructions burned: 3 (million)
% 0.22/0.47 % (26964)------------------------------
% 0.22/0.47 % (26964)------------------------------
% 0.22/0.48 % (26961)Refutation not found, incomplete strategy
% 0.22/0.48 % (26961)------------------------------
% 0.22/0.48 % (26961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (26961)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 % (26961)Memory used [KB]: 5628
% 0.22/0.48 % (26961)Time elapsed: 0.009 s
% 0.22/0.48 % (26961)Instructions burned: 11 (million)
% 0.22/0.48 % (26961)------------------------------
% 0.22/0.48 % (26961)------------------------------
% 0.22/0.48 % (26962)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)
% 0.22/0.48 % (26965)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2999ds/30Mi)
% 0.22/0.48 % (26963)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 % (26965)Instruction limit reached!
% 0.22/0.49 % (26965)------------------------------
% 0.22/0.49 % (26965)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (26965)Termination reason: Unknown
% 0.22/0.49 % (26965)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (26965)Memory used [KB]: 5756
% 0.22/0.49 % (26965)Time elapsed: 0.010 s
% 0.22/0.49 % (26965)Instructions burned: 30 (million)
% 0.22/0.49 % (26965)------------------------------
% 0.22/0.49 % (26965)------------------------------
% 0.22/0.49 % (26966)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 (2999ds/127Mi)
% 0.22/0.49 % (26963)Instruction limit reached!
% 0.22/0.49 % (26963)------------------------------
% 0.22/0.49 % (26963)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (26963)Termination reason: Unknown
% 0.22/0.49 % (26963)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (26963)Memory used [KB]: 5628
% 0.22/0.49 % (26963)Time elapsed: 0.016 s
% 0.22/0.49 % (26933)Instruction limit reached!
% 0.22/0.49 % (26933)------------------------------
% 0.22/0.49 % (26933)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (26963)Instructions burned: 17 (million)
% 0.22/0.49 % (26963)------------------------------
% 0.22/0.49 % (26963)------------------------------
% 0.22/0.49 % (26933)Termination reason: Unknown
% 0.22/0.49 % (26933)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (26933)Memory used [KB]: 6908
% 0.22/0.49 % (26933)Time elapsed: 0.109 s
% 0.22/0.49 % (26933)Instructions burned: 183 (million)
% 0.22/0.49 % (26933)------------------------------
% 0.22/0.49 % (26933)------------------------------
% 0.22/0.50 % (26967)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)
% 0.22/0.51 % (26969)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 Vampire---4 for (2998ds/20Mi)
% 0.22/0.52 % (26969)Refutation not found, incomplete strategy
% 0.22/0.52 % (26969)------------------------------
% 0.22/0.52 % (26969)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (26969)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.52
% 0.22/0.52
% 0.22/0.52 % (26969)Memory used [KB]: 5628
% 0.22/0.52 % (26969)Time elapsed: 0.008 s
% 0.22/0.52 % (26969)Instructions burned: 12 (million)
% 0.22/0.52 % (26969)------------------------------
% 0.22/0.52 % (26969)------------------------------
% 0.22/0.52 % (26968)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 % (26968)Instruction limit reached!
% 0.22/0.52 % (26968)------------------------------
% 0.22/0.52 % (26968)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (26968)Termination reason: Unknown
% 0.22/0.52 % (26968)Termination phase: shuffling
% 0.22/0.52
% 0.22/0.52 % (26968)Memory used [KB]: 1023
% 0.22/0.52 % (26968)Time elapsed: 0.004 s
% 0.22/0.52 % (26968)Instructions burned: 3 (million)
% 0.22/0.52 % (26968)------------------------------
% 0.22/0.52 % (26968)------------------------------
% 0.22/0.53 % (26970)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)
% 0.22/0.53 % (26967)Instruction limit reached!
% 0.22/0.53 % (26967)------------------------------
% 0.22/0.53 % (26967)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (26967)Termination reason: Unknown
% 0.22/0.53 % (26967)Termination phase: Saturation
% 0.22/0.53
% 0.22/0.53 % (26967)Memory used [KB]: 6012
% 0.22/0.53 % (26967)Time elapsed: 0.034 s
% 0.22/0.53 % (26967)Instructions burned: 101 (million)
% 0.22/0.53 % (26967)------------------------------
% 0.22/0.53 % (26967)------------------------------
% 0.22/0.53 % (26971)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 Vampire---4 for (2998ds/107Mi)
% 0.22/0.54 % (26972)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 Vampire---4 for (2998ds/39Mi)
% 0.22/0.54 % (26971)Refutation not found, incomplete strategy
% 0.22/0.54 % (26971)------------------------------
% 0.22/0.54 % (26971)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54 % (26971)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.54
% 0.22/0.54
% 0.22/0.54 % (26971)Memory used [KB]: 5628
% 0.22/0.54 % (26971)Time elapsed: 0.008 s
% 0.22/0.54 % (26971)Instructions burned: 23 (million)
% 0.22/0.54 % (26971)------------------------------
% 0.22/0.54 % (26971)------------------------------
% 0.22/0.54 % (26966)Instruction limit reached!
% 0.22/0.54 % (26966)------------------------------
% 0.22/0.54 % (26966)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54 % (26966)Termination reason: Unknown
% 0.22/0.54 % (26966)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (26966)Memory used [KB]: 6012
% 0.22/0.54 % (26966)Time elapsed: 0.051 s
% 0.22/0.54 % (26966)Instructions burned: 128 (million)
% 0.22/0.54 % (26966)------------------------------
% 0.22/0.54 % (26966)------------------------------
% 0.22/0.55 % (26973)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 Vampire---4 for (2998ds/448Mi)
% 0.22/0.55 % (26974)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 Vampire---4 for (2998ds/46Mi)
% 0.22/0.55 % (26972)Instruction limit reached!
% 0.22/0.55 % (26972)------------------------------
% 0.22/0.55 % (26972)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (26972)Termination reason: Unknown
% 0.22/0.55 % (26972)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (26972)Memory used [KB]: 5884
% 0.22/0.55 % (26972)Time elapsed: 0.013 s
% 0.22/0.55 % (26972)Instructions burned: 40 (million)
% 0.22/0.55 % (26972)------------------------------
% 0.22/0.55 % (26972)------------------------------
% 0.22/0.55 % (26973)Refutation not found, incomplete strategy
% 0.22/0.55 % (26973)------------------------------
% 0.22/0.55 % (26973)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (26973)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.55
% 0.22/0.55
% 0.22/0.55 % (26973)Memory used [KB]: 5628
% 0.22/0.55 % (26973)Time elapsed: 0.007 s
% 0.22/0.55 % (26973)Instructions burned: 16 (million)
% 0.22/0.55 % (26973)------------------------------
% 0.22/0.55 % (26973)------------------------------
% 0.22/0.55 % (26970)Instruction limit reached!
% 0.22/0.55 % (26970)------------------------------
% 0.22/0.55 % (26970)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (26970)Termination reason: Unknown
% 0.22/0.55 % (26970)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (26970)Memory used [KB]: 6140
% 0.22/0.55 % (26970)Time elapsed: 0.030 s
% 0.22/0.55 % (26970)Instructions burned: 87 (million)
% 0.22/0.55 % (26970)------------------------------
% 0.22/0.55 % (26970)------------------------------
% 0.22/0.56 % (26975)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 Vampire---4 for (2998ds/98Mi)
% 0.22/0.56 % (26976)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 Vampire---4 for (2998ds/507Mi)
% 0.22/0.56 % (26977)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 Vampire---4 for (2998ds/149Mi)
% 0.22/0.57 % (26974)Instruction limit reached!
% 0.22/0.57 % (26974)------------------------------
% 0.22/0.57 % (26974)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.57 % (26974)Termination reason: Unknown
% 0.22/0.57 % (26974)Termination phase: Saturation
% 0.22/0.57
% 0.22/0.57 % (26974)Memory used [KB]: 5756
% 0.22/0.57 % (26974)Time elapsed: 0.019 s
% 0.22/0.57 % (26974)Instructions burned: 47 (million)
% 0.22/0.57 % (26974)------------------------------
% 0.22/0.57 % (26974)------------------------------
% 0.22/0.57 % (26976)Refutation not found, incomplete strategy
% 0.22/0.57 % (26976)------------------------------
% 0.22/0.57 % (26976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.57 % (26976)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.57
% 0.22/0.57
% 0.22/0.57 % (26976)Memory used [KB]: 5628
% 0.22/0.57 % (26976)Time elapsed: 0.007 s
% 0.22/0.57 % (26976)Instructions burned: 21 (million)
% 0.22/0.57 % (26976)------------------------------
% 0.22/0.57 % (26976)------------------------------
% 0.22/0.57 % (26978)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2998ds/39Mi)
% 1.75/0.59 % (26962)First to succeed.
% 1.75/0.59 % (26978)Instruction limit reached!
% 1.75/0.59 % (26978)------------------------------
% 1.75/0.59 % (26978)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.75/0.59 % (26978)Termination reason: Unknown
% 1.75/0.59 % (26978)Termination phase: Saturation
% 1.75/0.59
% 1.75/0.59 % (26978)Memory used [KB]: 5884
% 1.75/0.59 % (26978)Time elapsed: 0.014 s
% 1.75/0.59 % (26978)Instructions burned: 41 (million)
% 1.75/0.59 % (26978)------------------------------
% 1.75/0.59 % (26978)------------------------------
% 1.75/0.59 % (26975)Instruction limit reached!
% 1.75/0.59 % (26975)------------------------------
% 1.75/0.59 % (26975)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.75/0.59 % (26975)Termination reason: Unknown
% 1.75/0.59 % (26975)Termination phase: Saturation
% 1.75/0.59
% 1.75/0.59 % (26975)Memory used [KB]: 1535
% 1.75/0.59 % (26975)Time elapsed: 0.034 s
% 1.75/0.59 % (26975)Instructions burned: 100 (million)
% 1.75/0.59 % (26975)------------------------------
% 1.75/0.59 % (26975)------------------------------
% 1.75/0.59 % (26979)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 Vampire---4 for (2998ds/6Mi)
% 1.75/0.59 % (26979)Instruction limit reached!
% 1.75/0.59 % (26979)------------------------------
% 1.75/0.59 % (26979)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.75/0.59 % (26979)Termination reason: Unknown
% 1.75/0.59 % (26979)Termination phase: Function definition elimination
% 1.75/0.59
% 1.75/0.59 % (26979)Memory used [KB]: 1023
% 1.75/0.59 % (26979)Time elapsed: 0.003 s
% 1.75/0.59 % (26979)Instructions burned: 7 (million)
% 1.75/0.59 % (26979)------------------------------
% 1.75/0.59 % (26979)------------------------------
% 1.75/0.60 % (26980)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 Vampire---4 for (2997ds/1087Mi)
% 1.75/0.60 % (26962)Refutation found. Thanks to Tanya!
% 1.75/0.60 % SZS status Theorem for Vampire---4
% 1.75/0.60 % SZS output start Proof for Vampire---4
% 1.75/0.60 thf(type_def_6, type, individuals: $tType).
% 1.75/0.60 thf(func_def_1, type, prop_a: $i > $o).
% 1.75/0.60 thf(func_def_2, type, prop_b: $i > $o).
% 1.75/0.60 thf(func_def_3, type, prop_c: $i > $o).
% 1.75/0.60 thf(func_def_4, type, mfalse: $i > $o).
% 1.75/0.60 thf(func_def_5, type, mtrue: $i > $o).
% 1.75/0.60 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_14, type, individuals: $tType).
% 1.75/0.60 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 1.75/0.60 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 1.75/0.60 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 1.75/0.60 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 1.75/0.60 thf(func_def_21, type, reli: $i > $i > $o).
% 1.75/0.60 thf(func_def_22, type, relr: $i > $i > $o).
% 1.75/0.60 thf(func_def_23, type, cs4_atom: ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_24, type, cs4_and: ($i > $o) > ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_25, type, cs4_or: ($i > $o) > ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_26, type, cs4_impl: ($i > $o) > ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_27, type, cs4_true: $i > $o).
% 1.75/0.60 thf(func_def_28, type, cs4_false: $i > $o).
% 1.75/0.60 thf(func_def_29, type, cs4_all: (individuals > $i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_30, type, cs4_box: ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_31, type, cs4_valid: ($i > $o) > $o).
% 1.75/0.60 thf(func_def_32, type, princ_inj: individuals > $i > $o).
% 1.75/0.60 thf(func_def_33, type, bl_atom: ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_34, type, bl_princ: ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_35, type, bl_and: ($i > $o) > ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_36, type, bl_or: ($i > $o) > ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_37, type, bl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_38, type, bl_all: (individuals > $i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_39, type, bl_true: $i > $o).
% 1.75/0.60 thf(func_def_40, type, bl_false: $i > $o).
% 1.75/0.60 thf(func_def_41, type, bl_says: individuals > ($i > $o) > $i > $o).
% 1.75/0.60 thf(func_def_42, type, bl_valid: ($i > $o) > $o).
% 1.75/0.60 thf(func_def_43, type, loca: individuals).
% 1.75/0.60 thf(func_def_57, type, sK0: $i > $o).
% 1.75/0.60 thf(func_def_58, type, sK1: $i > $o).
% 1.75/0.60 thf(func_def_59, type, sK2: individuals).
% 1.75/0.60 thf(func_def_61, type, sK4: $i > ($i > $o) > $i).
% 1.75/0.60 thf(func_def_62, type, sK5: $i > ($i > $o) > $i).
% 1.75/0.60 thf(func_def_63, type, sK6: $i > ($i > $o) > $i).
% 1.75/0.60 thf(func_def_64, type, sK7: $i > ($i > $o) > $i).
% 1.75/0.60 thf(func_def_71, type, sK14: $i > $i).
% 1.75/0.60 thf(func_def_72, type, sK15: $i > $i).
% 1.75/0.60 thf(func_def_73, type, sK16: $i > ($i > $o) > $i).
% 1.75/0.60 thf(func_def_74, type, sK17: $i > ($i > $o) > $i).
% 1.75/0.60 thf(func_def_75, type, ph18: !>[X0: $tType]:(X0)).
% 1.75/0.60 thf(f1165,plain,(
% 1.75/0.60 $false),
% 1.75/0.60 inference(avatar_sat_refutation,[],[f432,f530,f569,f680,f702,f798,f803,f1065,f1164])).
% 1.75/0.60 thf(f1164,plain,(
% 1.75/0.60 ~spl3_16),
% 1.75/0.60 inference(avatar_contradiction_clause,[],[f1163])).
% 1.75/0.60 thf(f1163,plain,(
% 1.75/0.60 $false | ~spl3_16),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f1162])).
% 1.75/0.60 thf(f1162,plain,(
% 1.75/0.60 ($false = $true) | ~spl3_16),
% 1.75/0.60 inference(backward_demodulation,[],[f255,f1153])).
% 1.75/0.60 thf(f1153,plain,(
% 1.75/0.60 ($false = (reli @ sK10 @ sK11)) | ~spl3_16),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f1140])).
% 1.75/0.60 thf(f1140,plain,(
% 1.75/0.60 ($false = $true) | ($false = (reli @ sK10 @ sK11)) | ~spl3_16),
% 1.75/0.60 inference(superposition,[],[f249,f867])).
% 1.75/0.60 thf(f867,plain,(
% 1.75/0.60 ( ! [X1 : $i] : (($false = (reli @ sK9 @ X1)) | ($false = (reli @ X1 @ sK11))) ) | ~spl3_16),
% 1.75/0.60 inference(avatar_component_clause,[],[f866])).
% 1.75/0.60 thf(f866,plain,(
% 1.75/0.60 spl3_16 <=> ! [X1] : (($false = (reli @ X1 @ sK11)) | ($false = (reli @ sK9 @ X1)))),
% 1.75/0.60 introduced(avatar_definition,[new_symbols(naming,[spl3_16])])).
% 1.75/0.60 thf(f249,plain,(
% 1.75/0.60 ($true = (reli @ sK9 @ sK10))),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f247])).
% 1.75/0.60 thf(f247,plain,(
% 1.75/0.60 ($false = ((reli @ sK9 @ sK10) => ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((sK0 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((sK1 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3)))))))))))))))))))),
% 1.75/0.60 inference(beta_eta_normalization,[],[f246])).
% 1.75/0.60 thf(f246,plain,(
% 1.75/0.60 ($false = ((^[Y0 : $i]: ((reli @ sK9 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((sK0 @ Y3) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((sK1 @ Y3) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4))))))))))))))))))) @ sK10))),
% 1.75/0.60 inference(sigma_clausification,[],[f245])).
% 1.75/0.60 thf(f245,plain,(
% 1.75/0.60 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((sK0 @ Y3) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((sK1 @ Y3) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4)))))))))))))))))))))),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f242])).
% 1.75/0.60 thf(f242,plain,(
% 1.75/0.60 ($false = ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((sK0 @ Y3) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((sK1 @ Y3) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4)))))))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((sK0 @ Y3) | (~ (sK1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3))))))))))))))))))),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f241])).
% 1.75/0.60 thf(f241,plain,(
% 1.75/0.60 ($false = ((reli @ sK8 @ sK9) => ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((sK0 @ Y3) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((sK1 @ Y3) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4)))))))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((sK0 @ Y3) | (~ (sK1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3)))))))))))))))))))),
% 1.75/0.60 inference(beta_eta_normalization,[],[f240])).
% 1.75/0.60 thf(f240,plain,(
% 1.75/0.60 ($false = ((^[Y0 : $i]: ((reli @ sK8 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((sK0 @ Y4) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK2 @ Y5))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((sK1 @ Y4) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK2 @ Y5)))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((sK0 @ Y4) | (~ (sK1 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4))))))))))))))))))) @ sK9))),
% 1.75/0.60 inference(sigma_clausification,[],[f239])).
% 1.75/0.60 thf(f239,plain,(
% 1.75/0.60 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK8 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((sK0 @ Y4) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK2 @ Y5))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((sK1 @ Y4) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK2 @ Y5)))))))))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((sK0 @ Y4) | (~ (sK1 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK2 @ Y4)))))))))))))))))))))),
% 1.75/0.60 inference(beta_eta_normalization,[],[f238])).
% 1.75/0.60 thf(f238,plain,(
% 1.75/0.60 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((sK0 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ sK2 @ Y6))))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((sK1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ sK2 @ Y6)))))))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((sK0 @ Y5) | (~ (sK1 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK2 @ Y5))))))))))))))))))))) @ sK8))),
% 1.75/0.60 inference(sigma_clausification,[],[f237])).
% 1.75/0.60 thf(f237,plain,(
% 1.75/0.60 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((sK0 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ sK2 @ Y6))))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((sK1 @ Y5) | (~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ sK2 @ Y6)))))))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((sK0 @ Y5) | (~ (sK1 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK2 @ Y5)))))))))))))))))))))))),
% 1.75/0.60 inference(beta_eta_normalization,[],[f181])).
% 1.75/0.60 thf(f181,plain,(
% 1.75/0.60 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ Y0 @ Y1)))) @ ((^[Y0 : individuals]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ reli @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ relr @ Y2))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ Y3)) @ Y2)) @ (princ_inj @ Y0)) @ Y1))))) @ sK2 @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ Y0 @ Y1)))) @ sK1 @ sK0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ Y0 @ Y1)))) @ ((^[Y0 : individuals]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ reli @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ relr @ Y2))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ Y3)) @ Y2)) @ (princ_inj @ Y0)) @ Y1))))) @ sK2 @ sK1) @ ((^[Y0 : individuals]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ reli @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ relr @ Y2))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ Y3)) @ Y2)) @ (princ_inj @ Y0)) @ Y1))))) @ sK2 @ sK0)))))),
% 1.75/0.60 inference(definition_unfolding,[],[f143,f176,f173,f175,f173,f173,f175,f175])).
% 1.75/0.60 thf(f175,plain,(
% 1.75/0.60 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ reli @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ relr @ Y2))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ Y3)) @ Y2)) @ (princ_inj @ Y0)) @ Y1))))))),
% 1.75/0.60 inference(definition_unfolding,[],[f128,f167,f163,f170])).
% 1.75/0.60 thf(f170,plain,(
% 1.75/0.60 (bl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ Y1)) @ Y0)))),
% 1.75/0.60 inference(definition_unfolding,[],[f145,f160])).
% 1.75/0.60 thf(f160,plain,(
% 1.75/0.60 (cs4_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ Y0)))),
% 1.75/0.60 inference(definition_unfolding,[],[f138,f147])).
% 1.75/0.60 thf(f147,plain,(
% 1.75/0.60 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 1.75/0.60 inference(cnf_transformation,[],[f71])).
% 1.75/0.60 thf(f71,plain,(
% 1.75/0.60 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 1.75/0.60 inference(fool_elimination,[],[f70])).
% 1.75/0.60 thf(f70,plain,(
% 1.75/0.60 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 1.75/0.60 inference(rectify,[],[f8])).
% 1.75/0.60 thf(f8,axiom,(
% 1.75/0.60 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 1.75/0.60 file('/export/starexec/sandbox2/tmp/tmp.EAlgdP6tGB/Vampire---4.8_26791',mbox)).
% 1.75/0.60 thf(f138,plain,(
% 1.75/0.60 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 1.75/0.60 inference(cnf_transformation,[],[f63])).
% 1.75/0.60 thf(f63,plain,(
% 1.75/0.60 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 1.75/0.60 inference(fool_elimination,[],[f62])).
% 1.75/0.60 thf(f62,plain,(
% 1.75/0.60 ((^[X0 : $i > $o] : (mbox @ reli @ X0)) = cs4_atom)),
% 1.75/0.60 inference(rectify,[],[f16])).
% 1.75/0.60 thf(f16,axiom,(
% 1.75/0.60 ((^[X5 : $i > $o] : (mbox @ reli @ X5)) = cs4_atom)),
% 1.75/0.60 file('/export/starexec/sandbox2/tmp/tmp.EAlgdP6tGB/Vampire---4.8_26791',cs4_atom)).
% 1.75/0.60 thf(f145,plain,(
% 1.75/0.60 (bl_princ = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 1.75/0.60 inference(cnf_transformation,[],[f45])).
% 1.75/0.60 thf(f45,plain,(
% 1.75/0.60 (bl_princ = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 1.75/0.60 inference(fool_elimination,[],[f44])).
% 1.75/0.60 thf(f44,plain,(
% 1.75/0.60 ((^[X0 : $i > $o] : (cs4_atom @ X0)) = bl_princ)),
% 1.75/0.60 inference(rectify,[],[f31])).
% 1.75/0.60 thf(f31,axiom,(
% 1.75/0.60 ((^[X5 : $i > $o] : (cs4_atom @ X5)) = bl_princ)),
% 1.75/0.60 file('/export/starexec/sandbox2/tmp/tmp.EAlgdP6tGB/Vampire---4.8_26791',bl_princ)).
% 1.75/0.60 thf(f163,plain,(
% 1.75/0.60 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
% 1.75/0.60 inference(definition_unfolding,[],[f150,f147,f158])).
% 1.75/0.60 thf(f158,plain,(
% 1.75/0.60 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 1.75/0.60 inference(definition_unfolding,[],[f125,f146,f149])).
% 1.75/0.60 thf(f149,plain,(
% 1.75/0.60 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.75/0.60 inference(cnf_transformation,[],[f67])).
% 1.75/0.60 thf(f67,plain,(
% 1.75/0.60 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.75/0.60 inference(fool_elimination,[],[f66])).
% 1.75/0.60 thf(f66,plain,(
% 1.75/0.60 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 1.75/0.60 inference(rectify,[],[f3])).
% 1.75/0.60 thf(f3,axiom,(
% 1.75/0.60 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 1.75/0.60 file('/export/starexec/sandbox2/tmp/tmp.EAlgdP6tGB/Vampire---4.8_26791',mnot)).
% 1.75/0.60 thf(f146,plain,(
% 1.75/0.60 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 1.75/0.60 inference(cnf_transformation,[],[f57])).
% 1.75/0.60 thf(f57,plain,(
% 1.75/0.60 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 1.75/0.60 inference(fool_elimination,[],[f56])).
% 1.75/0.60 thf(f56,plain,(
% 1.75/0.60 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 1.75/0.60 inference(rectify,[],[f4])).
% 1.75/0.60 thf(f4,axiom,(
% 1.75/0.60 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))) = mor)),
% 1.75/0.60 file('/export/starexec/sandbox2/tmp/tmp.EAlgdP6tGB/Vampire---4.8_26791',mor)).
% 1.75/0.60 thf(f125,plain,(
% 1.75/0.60 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 1.75/0.60 inference(cnf_transformation,[],[f99])).
% 1.75/0.60 thf(f99,plain,(
% 1.75/0.60 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 1.75/0.60 inference(fool_elimination,[],[f98])).
% 1.75/0.60 thf(f98,plain,(
% 1.75/0.60 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimpl)),
% 1.75/0.60 inference(rectify,[],[f6])).
% 1.75/0.60 thf(f6,axiom,(
% 1.75/0.60 ((^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)) = mimpl)),
% 1.75/0.60 file('/export/starexec/sandbox2/tmp/tmp.EAlgdP6tGB/Vampire---4.8_26791',mimpl)).
% 1.75/0.60 thf(f150,plain,(
% 1.75/0.60 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 1.75/0.60 inference(cnf_transformation,[],[f65])).
% 1.75/0.60 thf(f65,plain,(
% 1.75/0.60 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 1.75/0.60 inference(fool_elimination,[],[f64])).
% 1.75/0.60 thf(f64,plain,(
% 1.75/0.60 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ reli @ (mimpl @ X0 @ X1))) = cs4_impl)),
% 1.75/0.60 inference(rectify,[],[f19])).
% 1.75/0.60 thf(f19,axiom,(
% 1.75/0.60 ((^[X7 : $i > $o, X8 : $i > $o] : (mbox @ reli @ (mimpl @ X7 @ X8))) = cs4_impl)),
% 1.75/0.60 file('/export/starexec/sandbox2/tmp/tmp.EAlgdP6tGB/Vampire---4.8_26791',cs4_impl)).
% 1.75/0.60 thf(f167,plain,(
% 1.75/0.60 (cs4_box = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ relr @ Y0))))),
% 1.75/0.60 inference(definition_unfolding,[],[f144,f147,f147])).
% 1.75/0.60 thf(f144,plain,(
% 1.75/0.60 (cs4_box = (^[Y0 : $i > $o]: (mbox @ reli @ (mbox @ relr @ Y0))))),
% 1.75/0.60 inference(cnf_transformation,[],[f69])).
% 1.75/0.60 thf(f69,plain,(
% 1.75/0.60 (cs4_box = (^[Y0 : $i > $o]: (mbox @ reli @ (mbox @ relr @ Y0))))),
% 1.75/0.60 inference(fool_elimination,[],[f68])).
% 1.75/0.60 thf(f68,plain,(
% 1.75/0.60 (cs4_box = (^[X0 : $i > $o] : (mbox @ reli @ (mbox @ relr @ X0))))),
% 1.75/0.60 inference(rectify,[],[f23])).
% 1.75/0.60 thf(f23,axiom,(
% 1.75/0.60 (cs4_box = (^[X7 : $i > $o] : (mbox @ reli @ (mbox @ relr @ X7))))),
% 1.75/0.60 file('/export/starexec/sandbox2/tmp/tmp.EAlgdP6tGB/Vampire---4.8_26791',cs4_box)).
% 1.75/0.60 thf(f128,plain,(
% 1.75/0.60 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ Y0)) @ Y1))))))),
% 1.75/0.60 inference(cnf_transformation,[],[f79])).
% 1.75/0.60 thf(f79,plain,(
% 1.75/0.60 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ Y0)) @ Y1))))))),
% 1.75/0.60 inference(fool_elimination,[],[f78])).
% 1.75/0.60 thf(f78,plain,(
% 1.75/0.60 ((^[X0 : individuals, X1 : $i > $o] : (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ X0)) @ X1))) = bl_says)),
% 1.75/0.60 inference(rectify,[],[f38])).
% 1.75/0.60 thf(f38,axiom,(
% 1.75/0.60 ((^[X9 : individuals, X7 : $i > $o] : (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ X9)) @ X7))) = bl_says)),
% 1.75/0.60 file('/export/starexec/sandbox2/tmp/tmp.EAlgdP6tGB/Vampire---4.8_26791',bl_says)).
% 1.75/0.60 thf(f173,plain,(
% 1.75/0.60 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ Y0 @ Y1)))))),
% 1.75/0.60 inference(definition_unfolding,[],[f123,f163])).
% 1.75/0.60 thf(f123,plain,(
% 1.75/0.60 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (cs4_impl @ Y0 @ Y1)))))),
% 1.75/0.60 inference(cnf_transformation,[],[f53])).
% 1.75/0.60 thf(f53,plain,(
% 1.75/0.60 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (cs4_impl @ Y0 @ Y1)))))),
% 1.75/0.60 inference(fool_elimination,[],[f52])).
% 1.75/0.60 thf(f52,plain,(
% 1.75/0.60 (bl_impl = (^[X0 : $i > $o, X1 : $i > $o] : (cs4_impl @ X0 @ X1)))),
% 1.75/0.60 inference(rectify,[],[f34])).
% 1.75/0.60 thf(f34,axiom,(
% 1.75/0.60 (bl_impl = (^[X7 : $i > $o, X8 : $i > $o] : (cs4_impl @ X7 @ X8)))),
% 1.75/0.60 file('/export/starexec/sandbox2/tmp/tmp.EAlgdP6tGB/Vampire---4.8_26791',bl_impl)).
% 1.75/0.60 thf(f176,plain,(
% 1.75/0.60 (bl_valid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.75/0.60 inference(definition_unfolding,[],[f121,f120])).
% 1.75/0.60 thf(f120,plain,(
% 1.75/0.60 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.75/0.60 inference(cnf_transformation,[],[f97])).
% 1.75/0.60 thf(f97,plain,(
% 1.75/0.60 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.75/0.60 inference(fool_elimination,[],[f96])).
% 1.75/0.60 thf(f96,plain,(
% 1.75/0.60 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 1.75/0.60 inference(rectify,[],[f12])).
% 1.75/0.60 thf(f12,axiom,(
% 1.75/0.60 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 1.75/0.60 file('/export/starexec/sandbox2/tmp/tmp.EAlgdP6tGB/Vampire---4.8_26791',mvalid)).
% 1.75/0.60 thf(f121,plain,(
% 1.75/0.60 (mvalid = bl_valid)),
% 1.75/0.60 inference(cnf_transformation,[],[f39])).
% 1.75/0.60 thf(f39,axiom,(
% 1.75/0.60 (mvalid = bl_valid)),
% 1.75/0.60 file('/export/starexec/sandbox2/tmp/tmp.EAlgdP6tGB/Vampire---4.8_26791',bl_valid_def)).
% 1.75/0.60 thf(f143,plain,(
% 1.75/0.60 ($true != (bl_valid @ (bl_impl @ (bl_says @ sK2 @ (bl_impl @ sK1 @ sK0)) @ (bl_impl @ (bl_says @ sK2 @ sK1) @ (bl_says @ sK2 @ sK0)))))),
% 1.75/0.60 inference(cnf_transformation,[],[f116])).
% 1.75/0.60 thf(f116,plain,(
% 1.75/0.60 ($true != (bl_valid @ (bl_impl @ (bl_says @ sK2 @ (bl_impl @ sK1 @ sK0)) @ (bl_impl @ (bl_says @ sK2 @ sK1) @ (bl_says @ sK2 @ sK0)))))),
% 1.75/0.60 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f114,f115])).
% 1.75/0.60 thf(f115,plain,(
% 1.75/0.60 ? [X0 : $i > $o,X1 : $i > $o,X2 : individuals] : ($true != (bl_valid @ (bl_impl @ (bl_says @ X2 @ (bl_impl @ X1 @ X0)) @ (bl_impl @ (bl_says @ X2 @ X1) @ (bl_says @ X2 @ X0))))) => ($true != (bl_valid @ (bl_impl @ (bl_says @ sK2 @ (bl_impl @ sK1 @ sK0)) @ (bl_impl @ (bl_says @ sK2 @ sK1) @ (bl_says @ sK2 @ sK0)))))),
% 1.75/0.60 introduced(choice_axiom,[])).
% 1.75/0.60 thf(f114,plain,(
% 1.75/0.60 ? [X0 : $i > $o,X1 : $i > $o,X2 : individuals] : ($true != (bl_valid @ (bl_impl @ (bl_says @ X2 @ (bl_impl @ X1 @ X0)) @ (bl_impl @ (bl_says @ X2 @ X1) @ (bl_says @ X2 @ X0)))))),
% 1.75/0.60 inference(ennf_transformation,[],[f85])).
% 1.75/0.60 thf(f85,plain,(
% 1.75/0.60 ~! [X0 : $i > $o,X1 : $i > $o,X2 : individuals] : ($true = (bl_valid @ (bl_impl @ (bl_says @ X2 @ (bl_impl @ X1 @ X0)) @ (bl_impl @ (bl_says @ X2 @ X1) @ (bl_says @ X2 @ X0)))))),
% 1.75/0.60 inference(fool_elimination,[],[f84])).
% 1.75/0.60 thf(f84,plain,(
% 1.75/0.60 ~! [X0 : $i > $o,X1 : $i > $o,X2 : individuals] : (bl_valid @ (bl_impl @ (bl_says @ X2 @ (bl_impl @ X1 @ X0)) @ (bl_impl @ (bl_says @ X2 @ X1) @ (bl_says @ X2 @ X0))))),
% 1.75/0.60 inference(rectify,[],[f42])).
% 1.75/0.60 thf(f42,negated_conjecture,(
% 1.75/0.60 ~! [X8 : $i > $o,X7 : $i > $o,X9 : individuals] : (bl_valid @ (bl_impl @ (bl_says @ X9 @ (bl_impl @ X7 @ X8)) @ (bl_impl @ (bl_says @ X9 @ X7) @ (bl_says @ X9 @ X8))))),
% 1.75/0.60 inference(negated_conjecture,[],[f41])).
% 1.75/0.60 thf(f41,conjecture,(
% 1.75/0.60 ! [X8 : $i > $o,X7 : $i > $o,X9 : individuals] : (bl_valid @ (bl_impl @ (bl_says @ X9 @ (bl_impl @ X7 @ X8)) @ (bl_impl @ (bl_says @ X9 @ X7) @ (bl_says @ X9 @ X8))))),
% 1.75/0.60 file('/export/starexec/sandbox2/tmp/tmp.EAlgdP6tGB/Vampire---4.8_26791',bl_k)).
% 1.75/0.60 thf(f255,plain,(
% 1.75/0.60 ($true = (reli @ sK10 @ sK11))),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f253])).
% 1.75/0.60 thf(f253,plain,(
% 1.75/0.60 ($false = ((reli @ sK10 @ sK11) => (!! @ $i @ (^[Y0 : $i]: ((relr @ sK11 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((sK0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2))))))))))))))),
% 1.75/0.60 inference(beta_eta_normalization,[],[f252])).
% 1.75/0.60 thf(f252,plain,(
% 1.75/0.60 ($false = ((^[Y0 : $i]: ((reli @ sK10 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((sK0 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3)))))))))))))) @ sK11))),
% 1.75/0.60 inference(sigma_clausification,[],[f251])).
% 1.75/0.60 thf(f251,plain,(
% 1.75/0.60 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((sK0 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3))))))))))))))))),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f248])).
% 1.75/0.60 thf(f248,plain,(
% 1.75/0.60 ($false = ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((sK0 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3))))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((sK1 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3))))))))))))))))))),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f247])).
% 1.75/0.60 thf(f1065,plain,(
% 1.75/0.60 spl3_16 | spl3_16 | ~spl3_12),
% 1.75/0.60 inference(avatar_split_clause,[],[f1048,f676,f866,f866])).
% 1.75/0.60 thf(f676,plain,(
% 1.75/0.60 spl3_12 <=> ($false = (reli @ sK9 @ sK11))),
% 1.75/0.60 introduced(avatar_definition,[new_symbols(naming,[spl3_12])])).
% 1.75/0.60 thf(f1048,plain,(
% 1.75/0.60 ( ! [X0 : $i,X1 : $i] : (($false = (reli @ X0 @ sK11)) | ($false = (reli @ sK9 @ X0)) | ($false = (reli @ X1 @ sK11)) | ($false = (reli @ sK9 @ X1))) ) | ~spl3_12),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f1032])).
% 1.75/0.60 thf(f1032,plain,(
% 1.75/0.60 ( ! [X0 : $i,X1 : $i] : (($false = (reli @ sK9 @ X0)) | ($false = (reli @ sK9 @ X1)) | ($false = (reli @ X0 @ sK11)) | ($false = (reli @ X1 @ sK11)) | ($false = $true)) ) | ~spl3_12),
% 1.75/0.60 inference(superposition,[],[f678,f624])).
% 1.75/0.60 thf(f624,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (reli @ X0 @ X1)) | ($false = (reli @ X2 @ X1)) | ($false = (reli @ X3 @ X1)) | ($false = (reli @ X0 @ X3)) | ($false = (reli @ X0 @ X2))) )),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f618])).
% 1.75/0.60 thf(f618,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (reli @ X0 @ X1)) | ($false = (reli @ X0 @ X3)) | ($false = (reli @ X3 @ X1)) | ($false = (reli @ X0 @ X2)) | ($false = (reli @ X2 @ X1)) | ($true != $true)) )),
% 1.75/0.60 inference(equality_factoring,[],[f480])).
% 1.75/0.60 thf(f480,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (reli @ X0 @ X4)) | ($false = (reli @ X0 @ X1)) | ($false = (reli @ X0 @ X3)) | ($false = (reli @ X1 @ X2)) | ($false = (reli @ X3 @ X4)) | ($true = (reli @ X0 @ X2))) )),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f471])).
% 1.75/0.60 thf(f471,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = $true) | ($true = (reli @ X0 @ X2)) | ($false = (reli @ X3 @ X4)) | ($false = (reli @ X0 @ X1)) | ($false = (reli @ X1 @ X2)) | ($false = (reli @ X0 @ X3)) | ($true = (reli @ X0 @ X4))) )),
% 1.75/0.60 inference(superposition,[],[f347,f346])).
% 1.75/0.60 thf(f346,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (((reli @ X1 @ (sK17 @ X1 @ X0)) = $true) | ($false = (reli @ X2 @ X3)) | ($true = (X0 @ X3)) | ($false = (reli @ X1 @ X2))) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f345])).
% 1.75/0.60 thf(f345,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (reli @ X1 @ X2)) | ($true = ((reli @ X2 @ X3) => (X0 @ X3))) | ((reli @ X1 @ (sK17 @ X1 @ X0)) = $true)) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f343])).
% 1.75/0.60 thf(f343,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : ((((reli @ X1 @ (sK17 @ X1 @ X0)) => (X0 @ (sK17 @ X1 @ X0))) = $false) | ($false = (reli @ X1 @ X2)) | ($true = ((reli @ X2 @ X3) => (X0 @ X3)))) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f342])).
% 1.75/0.60 thf(f342,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : ((((^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0))) @ X3) = $true) | (((reli @ X1 @ (sK17 @ X1 @ X0)) => (X0 @ (sK17 @ X1 @ X0))) = $false) | ($false = (reli @ X1 @ X2))) )),
% 1.75/0.60 inference(pi_clausification,[],[f341])).
% 1.75/0.60 thf(f341,plain,(
% 1.75/0.60 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = (reli @ X1 @ X2)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0))))) | (((reli @ X1 @ (sK17 @ X1 @ X0)) => (X0 @ (sK17 @ X1 @ X0))) = $false)) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f340])).
% 1.75/0.60 thf(f340,plain,(
% 1.75/0.60 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = ((reli @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0)))))) | (((reli @ X1 @ (sK17 @ X1 @ X0)) => (X0 @ (sK17 @ X1 @ X0))) = $false)) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f339])).
% 1.75/0.60 thf(f339,plain,(
% 1.75/0.60 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = ((^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))) @ (sK17 @ X1 @ X0))) | ($true = ((reli @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0))))))) )),
% 1.75/0.60 inference(sigma_clausification,[],[f338])).
% 1.75/0.60 thf(f338,plain,(
% 1.75/0.60 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))))) | ($true = ((reli @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0))))))) )),
% 1.75/0.60 inference(not_proxy_clausification,[],[f337])).
% 1.75/0.60 thf(f337,plain,(
% 1.75/0.60 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))))) = $true) | ($true = ((reli @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0))))))) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f336])).
% 1.75/0.60 thf(f336,plain,(
% 1.75/0.60 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))))) = $true) | (((^[Y0 : $i]: ((reli @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1)))))) @ X2) = $true)) )),
% 1.75/0.60 inference(pi_clausification,[],[f335])).
% 1.75/0.60 thf(f335,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1)))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))))) = $true)) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f334])).
% 1.75/0.60 thf(f334,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0)))))) = $true)) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f333])).
% 1.75/0.60 thf(f333,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (X0 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1))))))) @ X1))) )),
% 1.75/0.60 inference(pi_clausification,[],[f332])).
% 1.75/0.60 thf(f332,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (X0 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1)))))))))) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f183])).
% 1.75/0.60 thf(f183,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ reli @ X0) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ reli @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ reli @ X0)))) = $true)) )),
% 1.75/0.60 inference(definition_unfolding,[],[f151,f120,f158,f147,f147,f147])).
% 1.75/0.60 thf(f151,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o] : (($true = (mvalid @ (mimpl @ (mbox @ reli @ X0) @ (mbox @ reli @ (mbox @ reli @ X0)))))) )),
% 1.75/0.60 inference(cnf_transformation,[],[f77])).
% 1.75/0.60 thf(f77,plain,(
% 1.75/0.60 ! [X0 : $i > $o] : ($true = (mvalid @ (mimpl @ (mbox @ reli @ X0) @ (mbox @ reli @ (mbox @ reli @ X0)))))),
% 1.75/0.60 inference(fool_elimination,[],[f76])).
% 1.75/0.60 thf(f76,plain,(
% 1.75/0.60 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X0) @ (mbox @ reli @ (mbox @ reli @ X0))))),
% 1.75/0.60 inference(rectify,[],[f27])).
% 1.75/0.60 thf(f27,axiom,(
% 1.75/0.60 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X7) @ (mbox @ reli @ (mbox @ reli @ X7))))),
% 1.75/0.60 file('/export/starexec/sandbox2/tmp/tmp.EAlgdP6tGB/Vampire---4.8_26791',trans_axiom_i)).
% 1.75/0.60 thf(f347,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (X0 @ (sK17 @ X1 @ X0))) | ($false = (reli @ X2 @ X3)) | ($false = (reli @ X1 @ X2)) | ($true = (X0 @ X3))) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f344])).
% 1.75/0.60 thf(f344,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($true = ((reli @ X2 @ X3) => (X0 @ X3))) | ($false = (X0 @ (sK17 @ X1 @ X0))) | ($false = (reli @ X1 @ X2))) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f343])).
% 1.75/0.60 thf(f678,plain,(
% 1.75/0.60 ($false = (reli @ sK9 @ sK11)) | ~spl3_12),
% 1.75/0.60 inference(avatar_component_clause,[],[f676])).
% 1.75/0.60 thf(f803,plain,(
% 1.75/0.60 ~spl3_11),
% 1.75/0.60 inference(avatar_contradiction_clause,[],[f802])).
% 1.75/0.60 thf(f802,plain,(
% 1.75/0.60 $false | ~spl3_11),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f801])).
% 1.75/0.60 thf(f801,plain,(
% 1.75/0.60 ($false = $true) | ~spl3_11),
% 1.75/0.60 inference(backward_demodulation,[],[f263,f674])).
% 1.75/0.60 thf(f674,plain,(
% 1.75/0.60 ($false = (reli @ sK12 @ sK13)) | ~spl3_11),
% 1.75/0.60 inference(avatar_component_clause,[],[f672])).
% 1.75/0.60 thf(f672,plain,(
% 1.75/0.60 spl3_11 <=> ($false = (reli @ sK12 @ sK13))),
% 1.75/0.60 introduced(avatar_definition,[new_symbols(naming,[spl3_11])])).
% 1.75/0.60 thf(f263,plain,(
% 1.75/0.60 ($true = (reli @ sK12 @ sK13))),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f261])).
% 1.75/0.60 thf(f261,plain,(
% 1.75/0.60 ($false = ((reli @ sK12 @ sK13) => ((sK0 @ sK13) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK13 @ Y0) => (princ_inj @ sK2 @ Y0))))))))),
% 1.75/0.60 inference(beta_eta_normalization,[],[f260])).
% 1.75/0.60 thf(f260,plain,(
% 1.75/0.60 ($false = ((^[Y0 : $i]: ((reli @ sK12 @ Y0) => ((sK0 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1)))))))) @ sK13))),
% 1.75/0.60 inference(sigma_clausification,[],[f258])).
% 1.75/0.60 thf(f258,plain,(
% 1.75/0.60 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK12 @ Y0) => ((sK0 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1))))))))))),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f257])).
% 1.75/0.60 thf(f257,plain,(
% 1.75/0.60 ($false = ((relr @ sK11 @ sK12) => (!! @ $i @ (^[Y0 : $i]: ((reli @ sK12 @ Y0) => ((sK0 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1)))))))))))),
% 1.75/0.60 inference(beta_eta_normalization,[],[f256])).
% 1.75/0.60 thf(f256,plain,(
% 1.75/0.60 ($false = ((^[Y0 : $i]: ((relr @ sK11 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((sK0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2))))))))))) @ sK12))),
% 1.75/0.60 inference(sigma_clausification,[],[f254])).
% 1.75/0.60 thf(f254,plain,(
% 1.75/0.60 ($false = (!! @ $i @ (^[Y0 : $i]: ((relr @ sK11 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((sK0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2)))))))))))))),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f253])).
% 1.75/0.60 thf(f798,plain,(
% 1.75/0.60 spl3_5 | ~spl3_2 | ~spl3_4),
% 1.75/0.60 inference(avatar_split_clause,[],[f797,f521,f426,f525])).
% 1.75/0.60 thf(f525,plain,(
% 1.75/0.60 spl3_5 <=> ! [X0,X1] : (($false = (reli @ X1 @ sK13)) | ($false = (reli @ sK10 @ X0)) | ($false = (relr @ X0 @ X1)))),
% 1.75/0.60 introduced(avatar_definition,[new_symbols(naming,[spl3_5])])).
% 1.75/0.60 thf(f426,plain,(
% 1.75/0.60 spl3_2 <=> ! [X1] : (((sK1 @ X1) = $false) | ($true = (sK0 @ X1)) | ($false = (reli @ sK13 @ X1)))),
% 1.75/0.60 introduced(avatar_definition,[new_symbols(naming,[spl3_2])])).
% 1.75/0.60 thf(f521,plain,(
% 1.75/0.60 spl3_4 <=> ((princ_inj @ sK2 @ (sK14 @ sK13)) = $true)),
% 1.75/0.60 introduced(avatar_definition,[new_symbols(naming,[spl3_4])])).
% 1.75/0.60 thf(f797,plain,(
% 1.75/0.60 ( ! [X0 : $i,X1 : $i] : (($false = (relr @ X0 @ X1)) | ($false = (reli @ X1 @ sK13)) | ($false = (reli @ sK10 @ X0))) ) | (~spl3_2 | ~spl3_4)),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f796])).
% 1.75/0.60 thf(f796,plain,(
% 1.75/0.60 ( ! [X0 : $i,X1 : $i] : (($false = (relr @ X0 @ X1)) | ($false = $true) | ($false = (reli @ sK10 @ X0)) | ($false = (reli @ X1 @ sK13))) ) | (~spl3_2 | ~spl3_4)),
% 1.75/0.60 inference(forward_demodulation,[],[f740,f789])).
% 1.75/0.60 thf(f789,plain,(
% 1.75/0.60 ((sK1 @ sK13) = $false) | ~spl3_2),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f788])).
% 1.75/0.60 thf(f788,plain,(
% 1.75/0.60 ($false = $true) | ((sK1 @ sK13) = $false) | ~spl3_2),
% 1.75/0.60 inference(forward_demodulation,[],[f776,f265])).
% 1.75/0.60 thf(f265,plain,(
% 1.75/0.60 ($false = (sK0 @ sK13))),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f262])).
% 1.75/0.60 thf(f262,plain,(
% 1.75/0.60 ($false = ((sK0 @ sK13) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK13 @ Y0) => (princ_inj @ sK2 @ Y0)))))))),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f261])).
% 1.75/0.60 thf(f776,plain,(
% 1.75/0.60 ((sK1 @ sK13) = $false) | ($true = (sK0 @ sK13)) | ~spl3_2),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f755])).
% 1.75/0.60 thf(f755,plain,(
% 1.75/0.60 ((sK1 @ sK13) = $false) | ($true = (sK0 @ sK13)) | ($false = $true) | ~spl3_2),
% 1.75/0.60 inference(superposition,[],[f427,f382])).
% 1.75/0.60 thf(f382,plain,(
% 1.75/0.60 ( ! [X0 : $i] : (($true = (reli @ X0 @ X0))) )),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f381])).
% 1.75/0.60 thf(f381,plain,(
% 1.75/0.60 ( ! [X0 : $i] : (($false = $true) | ($true = (reli @ X0 @ X0))) )),
% 1.75/0.60 inference(duplicate_literal_removal,[],[f377])).
% 1.75/0.60 thf(f377,plain,(
% 1.75/0.60 ( ! [X0 : $i] : (($true = (reli @ X0 @ X0)) | ($false = $true) | ($true = (reli @ X0 @ X0))) )),
% 1.75/0.60 inference(superposition,[],[f331,f330])).
% 1.75/0.60 thf(f330,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o,X1 : $i] : (($false = (X0 @ (sK16 @ X1 @ X0))) | ((X0 @ X1) = $true)) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f329])).
% 1.75/0.60 thf(f329,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o,X1 : $i] : (($false = ((reli @ X1 @ (sK16 @ X1 @ X0)) => (X0 @ (sK16 @ X1 @ X0)))) | ((X0 @ X1) = $true)) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f328])).
% 1.75/0.60 thf(f328,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | ($false = ((^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))) @ (sK16 @ X1 @ X0)))) )),
% 1.75/0.60 inference(sigma_clausification,[],[f327])).
% 1.75/0.60 thf(f327,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))))) | ((X0 @ X1) = $true)) )),
% 1.75/0.60 inference(not_proxy_clausification,[],[f326])).
% 1.75/0.60 thf(f326,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o,X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))))) = $true) | ((X0 @ X1) = $true)) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f325])).
% 1.75/0.60 thf(f325,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o,X1 : $i] : (($true = ((X0 @ X1) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0)))))))) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f324])).
% 1.75/0.60 thf(f324,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o,X1 : $i] : ((((^[Y0 : $i]: ((X0 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1))))))) @ X1) = $true)) )),
% 1.75/0.60 inference(pi_clausification,[],[f323])).
% 1.75/0.60 thf(f323,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((X0 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1)))))))))) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f180])).
% 1.75/0.60 thf(f180,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ reli @ X0) @ X0)) = $true)) )),
% 1.75/0.60 inference(definition_unfolding,[],[f140,f120,f158,f147])).
% 1.75/0.60 thf(f140,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ reli @ X0) @ X0)) = $true)) )),
% 1.75/0.60 inference(cnf_transformation,[],[f93])).
% 1.75/0.60 thf(f93,plain,(
% 1.75/0.60 ! [X0 : $i > $o] : ((mvalid @ (mimpl @ (mbox @ reli @ X0) @ X0)) = $true)),
% 1.75/0.60 inference(fool_elimination,[],[f92])).
% 1.75/0.60 thf(f92,plain,(
% 1.75/0.60 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X0) @ X0))),
% 1.75/0.60 inference(rectify,[],[f25])).
% 1.75/0.60 thf(f25,axiom,(
% 1.75/0.60 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X7) @ X7))),
% 1.75/0.60 file('/export/starexec/sandbox2/tmp/tmp.EAlgdP6tGB/Vampire---4.8_26791',refl_axiom_i)).
% 1.75/0.60 thf(f331,plain,(
% 1.75/0.60 ( ! [X0 : $i > $o,X1 : $i] : (($true = (reli @ X1 @ (sK16 @ X1 @ X0))) | ((X0 @ X1) = $true)) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f329])).
% 1.75/0.60 thf(f427,plain,(
% 1.75/0.60 ( ! [X1 : $i] : (($false = (reli @ sK13 @ X1)) | ((sK1 @ X1) = $false) | ($true = (sK0 @ X1))) ) | ~spl3_2),
% 1.75/0.60 inference(avatar_component_clause,[],[f426])).
% 1.75/0.60 thf(f740,plain,(
% 1.75/0.60 ( ! [X0 : $i,X1 : $i] : (($false = (reli @ X1 @ sK13)) | ((sK1 @ sK13) = $true) | ($false = (relr @ X0 @ X1)) | ($false = (reli @ sK10 @ X0))) ) | ~spl3_4),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f738])).
% 1.75/0.60 thf(f738,plain,(
% 1.75/0.60 ( ! [X0 : $i,X1 : $i] : (($false = $true) | ($false = (reli @ X1 @ sK13)) | ((sK1 @ sK13) = $true) | ($false = (reli @ sK10 @ X0)) | ($false = (relr @ X0 @ X1))) ) | ~spl3_4),
% 1.75/0.60 inference(superposition,[],[f523,f284])).
% 1.75/0.60 thf(f284,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (princ_inj @ sK2 @ (sK14 @ X3))) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ X2 @ X3)) | ($false = (reli @ sK10 @ X1)) | ($true = (sK1 @ X3))) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f283])).
% 1.75/0.60 thf(f283,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (sK1 @ X3)) | ($false = (reli @ sK10 @ X1)) | ($false = (reli @ X2 @ X3)) | ($false = ((reli @ X3 @ (sK14 @ X3)) => (princ_inj @ sK2 @ (sK14 @ X3)))) | ($false = (relr @ X1 @ X2))) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f282])).
% 1.75/0.60 thf(f282,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ($false = ((^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0))) @ (sK14 @ X3))) | ($true = (sK1 @ X3)) | ($false = (reli @ sK10 @ X1)) | ($false = (reli @ X2 @ X3))) )),
% 1.75/0.60 inference(sigma_clausification,[],[f281])).
% 1.75/0.60 thf(f281,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (reli @ X2 @ X3)) | ($false = (reli @ sK10 @ X1)) | ($true = (sK1 @ X3)) | ($false = (relr @ X1 @ X2)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0)))))) )),
% 1.75/0.60 inference(not_proxy_clausification,[],[f280])).
% 1.75/0.60 thf(f280,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ($false = (reli @ X2 @ X3)) | ($false = (reli @ sK10 @ X1)) | ($true = (sK1 @ X3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0))))) = $true)) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f279])).
% 1.75/0.60 thf(f279,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (reli @ sK10 @ X1)) | (((sK1 @ X3) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0)))))) = $true) | ($false = (reli @ X2 @ X3)) | ($false = (relr @ X1 @ X2))) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f278])).
% 1.75/0.60 thf(f278,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ($false = (reli @ sK10 @ X1)) | ($true = ((reli @ X2 @ X3) => ((sK1 @ X3) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0))))))))) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f277])).
% 1.75/0.60 thf(f277,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ($false = (reli @ sK10 @ X1)) | ($true = ((^[Y0 : $i]: ((reli @ X2 @ Y0) => ((sK1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1)))))))) @ X3))) )),
% 1.75/0.60 inference(pi_clausification,[],[f276])).
% 1.75/0.60 thf(f276,plain,(
% 1.75/0.60 ( ! [X2 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ($false = (reli @ sK10 @ X1)) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => ((sK1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1))))))))) = $true)) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f275])).
% 1.75/0.60 thf(f275,plain,(
% 1.75/0.60 ( ! [X2 : $i,X1 : $i] : (($true = ((relr @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => ((sK1 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1))))))))))) | ($false = (reli @ sK10 @ X1))) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f274])).
% 1.75/0.60 thf(f274,plain,(
% 1.75/0.60 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((sK1 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2))))))))))) @ X2) = $true) | ($false = (reli @ sK10 @ X1))) )),
% 1.75/0.60 inference(pi_clausification,[],[f273])).
% 1.75/0.60 thf(f273,plain,(
% 1.75/0.60 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((sK1 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2))))))))))))) | ($false = (reli @ sK10 @ X1))) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f272])).
% 1.75/0.60 thf(f272,plain,(
% 1.75/0.60 ( ! [X1 : $i] : (($true = ((reli @ sK10 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((sK1 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2))))))))))))))) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f271])).
% 1.75/0.60 thf(f271,plain,(
% 1.75/0.60 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((reli @ sK10 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((sK1 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3)))))))))))))) @ X1) = $true)) )),
% 1.75/0.60 inference(pi_clausification,[],[f270])).
% 1.75/0.60 thf(f270,plain,(
% 1.75/0.60 ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((sK1 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3))))))))))))))))),
% 1.75/0.60 inference(not_proxy_clausification,[],[f250])).
% 1.75/0.60 thf(f250,plain,(
% 1.75/0.60 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((sK1 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3)))))))))))))))))),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f248])).
% 1.75/0.60 thf(f523,plain,(
% 1.75/0.60 ((princ_inj @ sK2 @ (sK14 @ sK13)) = $true) | ~spl3_4),
% 1.75/0.60 inference(avatar_component_clause,[],[f521])).
% 1.75/0.60 thf(f702,plain,(
% 1.75/0.60 spl3_3 | spl3_2 | ~spl3_1),
% 1.75/0.60 inference(avatar_split_clause,[],[f699,f422,f426,f429])).
% 1.75/0.60 thf(f429,plain,(
% 1.75/0.60 spl3_3 <=> ! [X2,X0] : (($false = (reli @ X0 @ sK13)) | ($false = (reli @ sK9 @ X2)) | ($false = (relr @ X2 @ X0)))),
% 1.75/0.60 introduced(avatar_definition,[new_symbols(naming,[spl3_3])])).
% 1.75/0.60 thf(f422,plain,(
% 1.75/0.60 spl3_1 <=> ($true = (princ_inj @ sK2 @ (sK15 @ sK13)))),
% 1.75/0.60 introduced(avatar_definition,[new_symbols(naming,[spl3_1])])).
% 1.75/0.60 thf(f699,plain,(
% 1.75/0.60 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (sK1 @ X2)) | ($true = (sK0 @ X2)) | ($false = (reli @ sK9 @ X1)) | ($false = (relr @ X1 @ X0)) | ($false = (reli @ sK13 @ X2)) | ($false = (reli @ X0 @ sK13))) ) | ~spl3_1),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f697])).
% 1.75/0.60 thf(f697,plain,(
% 1.75/0.60 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (relr @ X1 @ X0)) | ($false = (reli @ sK9 @ X1)) | ($false = (reli @ X0 @ sK13)) | ($false = (reli @ sK13 @ X2)) | ($false = (sK1 @ X2)) | ($false = $true) | ($true = (sK0 @ X2))) ) | ~spl3_1),
% 1.75/0.60 inference(superposition,[],[f424,f309])).
% 1.75/0.60 thf(f309,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (princ_inj @ sK2 @ (sK15 @ X3))) | ($false = (reli @ X2 @ X3)) | ($false = (reli @ sK9 @ X1)) | ($false = (reli @ X3 @ X4)) | ($false = (relr @ X1 @ X2)) | ($true = (sK0 @ X4)) | ($false = (sK1 @ X4))) )),
% 1.75/0.60 inference(not_proxy_clausification,[],[f308])).
% 1.75/0.60 thf(f308,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (princ_inj @ sK2 @ (sK15 @ X3))) | ($false = (relr @ X1 @ X2)) | ($true = (sK0 @ X4)) | ((~ (sK1 @ X4)) = $true) | ($false = (reli @ X2 @ X3)) | ($false = (reli @ X3 @ X4)) | ($false = (reli @ sK9 @ X1))) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f307])).
% 1.75/0.60 thf(f307,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (reli @ X2 @ X3)) | ($false = (reli @ sK9 @ X1)) | ($false = (princ_inj @ sK2 @ (sK15 @ X3))) | ($false = (relr @ X1 @ X2)) | ($true = ((sK0 @ X4) | (~ (sK1 @ X4)))) | ($false = (reli @ X3 @ X4))) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f302])).
% 1.75/0.60 thf(f302,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (reli @ X2 @ X3)) | ($true = ((reli @ X3 @ X4) => ((sK0 @ X4) | (~ (sK1 @ X4))))) | ($false = (reli @ sK9 @ X1)) | ($false = (relr @ X1 @ X2)) | ($false = (princ_inj @ sK2 @ (sK15 @ X3)))) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f301])).
% 1.75/0.60 thf(f301,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((reli @ X3 @ (sK15 @ X3)) => (princ_inj @ sK2 @ (sK15 @ X3)))) | ($false = (reli @ sK9 @ X1)) | ($true = ((reli @ X3 @ X4) => ((sK0 @ X4) | (~ (sK1 @ X4))))) | ($false = (reli @ X2 @ X3)) | ($false = (relr @ X1 @ X2))) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f300])).
% 1.75/0.60 thf(f300,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (reli @ X2 @ X3)) | ($true = ((^[Y0 : $i]: ((reli @ X3 @ Y0) => ((sK0 @ Y0) | (~ (sK1 @ Y0))))) @ X4)) | ($false = (reli @ sK9 @ X1)) | ($false = ((reli @ X3 @ (sK15 @ X3)) => (princ_inj @ sK2 @ (sK15 @ X3)))) | ($false = (relr @ X1 @ X2))) )),
% 1.75/0.60 inference(pi_clausification,[],[f299])).
% 1.75/0.60 thf(f299,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ($false = (reli @ sK9 @ X1)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => ((sK0 @ Y0) | (~ (sK1 @ Y0))))))) | ($false = ((reli @ X3 @ (sK15 @ X3)) => (princ_inj @ sK2 @ (sK15 @ X3)))) | ($false = (reli @ X2 @ X3))) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f298])).
% 1.75/0.60 thf(f298,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (reli @ X2 @ X3)) | ($false = ((^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0))) @ (sK15 @ X3))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => ((sK0 @ Y0) | (~ (sK1 @ Y0))))))) | ($false = (reli @ sK9 @ X1)) | ($false = (relr @ X1 @ X2))) )),
% 1.75/0.60 inference(sigma_clausification,[],[f297])).
% 1.75/0.60 thf(f297,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0))))) | ($false = (relr @ X1 @ X2)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => ((sK0 @ Y0) | (~ (sK1 @ Y0))))))) | ($false = (reli @ sK9 @ X1)) | ($false = (reli @ X2 @ X3))) )),
% 1.75/0.60 inference(not_proxy_clausification,[],[f296])).
% 1.75/0.60 thf(f296,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (reli @ sK9 @ X1)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0))))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => ((sK0 @ Y0) | (~ (sK1 @ Y0))))))) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ X2 @ X3))) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f295])).
% 1.75/0.60 thf(f295,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (reli @ X2 @ X3)) | ($false = (reli @ sK9 @ X1)) | ($false = (relr @ X1 @ X2)) | (((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => ((sK0 @ Y0) | (~ (sK1 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0)))))) = $true)) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f294])).
% 1.75/0.60 thf(f294,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((reli @ X2 @ X3) => ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => ((sK0 @ Y0) | (~ (sK1 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (princ_inj @ sK2 @ Y0))))))) = $true) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ sK9 @ X1))) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f293])).
% 1.75/0.60 thf(f293,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ($false = (reli @ sK9 @ X1)) | ($true = ((^[Y0 : $i]: ((reli @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((sK0 @ Y1) | (~ (sK1 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1)))))))) @ X3))) )),
% 1.75/0.60 inference(pi_clausification,[],[f292])).
% 1.75/0.60 thf(f292,plain,(
% 1.75/0.60 ( ! [X2 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((sK0 @ Y1) | (~ (sK1 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1)))))))))) | ($false = (reli @ sK9 @ X1))) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f291])).
% 1.75/0.60 thf(f291,plain,(
% 1.75/0.60 ( ! [X2 : $i,X1 : $i] : ((((relr @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((sK0 @ Y1) | (~ (sK1 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK2 @ Y1)))))))))) = $true) | ($false = (reli @ sK9 @ X1))) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f290])).
% 1.75/0.60 thf(f290,plain,(
% 1.75/0.60 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((sK0 @ Y2) | (~ (sK1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2))))))))))) @ X2) = $true) | ($false = (reli @ sK9 @ X1))) )),
% 1.75/0.60 inference(pi_clausification,[],[f289])).
% 1.75/0.60 thf(f289,plain,(
% 1.75/0.60 ( ! [X1 : $i] : (($false = (reli @ sK9 @ X1)) | ((!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((sK0 @ Y2) | (~ (sK1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2)))))))))))) = $true)) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f288])).
% 1.75/0.60 thf(f288,plain,(
% 1.75/0.60 ( ! [X1 : $i] : ((((reli @ sK9 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((sK0 @ Y2) | (~ (sK1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK2 @ Y2))))))))))))) = $true)) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f287])).
% 1.75/0.60 thf(f287,plain,(
% 1.75/0.60 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((reli @ sK9 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((sK0 @ Y3) | (~ (sK1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3)))))))))))))) @ X1))) )),
% 1.75/0.60 inference(pi_clausification,[],[f286])).
% 1.75/0.60 thf(f286,plain,(
% 1.75/0.60 ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((sK0 @ Y3) | (~ (sK1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3))))))))))))))))),
% 1.75/0.60 inference(not_proxy_clausification,[],[f244])).
% 1.75/0.60 thf(f244,plain,(
% 1.75/0.60 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((sK0 @ Y3) | (~ (sK1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK2 @ Y3)))))))))))))))))),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f242])).
% 1.75/0.60 thf(f424,plain,(
% 1.75/0.60 ($true = (princ_inj @ sK2 @ (sK15 @ sK13))) | ~spl3_1),
% 1.75/0.60 inference(avatar_component_clause,[],[f422])).
% 1.75/0.60 thf(f680,plain,(
% 1.75/0.60 spl3_11 | spl3_12 | ~spl3_3),
% 1.75/0.60 inference(avatar_split_clause,[],[f661,f429,f676,f672])).
% 1.75/0.60 thf(f661,plain,(
% 1.75/0.60 ($false = (reli @ sK9 @ sK11)) | ($false = (reli @ sK12 @ sK13)) | ~spl3_3),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f658])).
% 1.75/0.60 thf(f658,plain,(
% 1.75/0.60 ($false = $true) | ($false = (reli @ sK12 @ sK13)) | ($false = (reli @ sK9 @ sK11)) | ~spl3_3),
% 1.75/0.60 inference(superposition,[],[f259,f430])).
% 1.75/0.60 thf(f430,plain,(
% 1.75/0.60 ( ! [X2 : $i,X0 : $i] : (($false = (relr @ X2 @ X0)) | ($false = (reli @ sK9 @ X2)) | ($false = (reli @ X0 @ sK13))) ) | ~spl3_3),
% 1.75/0.60 inference(avatar_component_clause,[],[f429])).
% 1.75/0.60 thf(f259,plain,(
% 1.75/0.60 ($true = (relr @ sK11 @ sK12))),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f257])).
% 1.75/0.60 thf(f569,plain,(
% 1.75/0.60 ~spl3_5),
% 1.75/0.60 inference(avatar_contradiction_clause,[],[f568])).
% 1.75/0.60 thf(f568,plain,(
% 1.75/0.60 $false | ~spl3_5),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f567])).
% 1.75/0.60 thf(f567,plain,(
% 1.75/0.60 ($false = $true) | ~spl3_5),
% 1.75/0.60 inference(backward_demodulation,[],[f263,f566])).
% 1.75/0.60 thf(f566,plain,(
% 1.75/0.60 ($false = (reli @ sK12 @ sK13)) | ~spl3_5),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f565])).
% 1.75/0.60 thf(f565,plain,(
% 1.75/0.60 ($false = $true) | ($false = (reli @ sK12 @ sK13)) | ~spl3_5),
% 1.75/0.60 inference(forward_demodulation,[],[f564,f255])).
% 1.75/0.60 thf(f564,plain,(
% 1.75/0.60 ($false = (reli @ sK10 @ sK11)) | ($false = (reli @ sK12 @ sK13)) | ~spl3_5),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f554])).
% 1.75/0.60 thf(f554,plain,(
% 1.75/0.60 ($false = (reli @ sK12 @ sK13)) | ($false = (reli @ sK10 @ sK11)) | ($false = $true) | ~spl3_5),
% 1.75/0.60 inference(superposition,[],[f259,f526])).
% 1.75/0.60 thf(f526,plain,(
% 1.75/0.60 ( ! [X0 : $i,X1 : $i] : (($false = (relr @ X0 @ X1)) | ($false = (reli @ X1 @ sK13)) | ($false = (reli @ sK10 @ X0))) ) | ~spl3_5),
% 1.75/0.60 inference(avatar_component_clause,[],[f525])).
% 1.75/0.60 thf(f530,plain,(
% 1.75/0.60 spl3_5 | spl3_4 | ~spl3_2),
% 1.75/0.60 inference(avatar_split_clause,[],[f529,f426,f521,f525])).
% 1.75/0.60 thf(f529,plain,(
% 1.75/0.60 ( ! [X0 : $i,X1 : $i] : (($false = (relr @ X0 @ X1)) | ($false = (reli @ X1 @ sK13)) | ($false = (reli @ sK10 @ X0)) | ((princ_inj @ sK2 @ (sK14 @ sK13)) = $true)) ) | ~spl3_2),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f528])).
% 1.75/0.60 thf(f528,plain,(
% 1.75/0.60 ( ! [X0 : $i,X1 : $i] : (($false = (reli @ X1 @ sK13)) | ((princ_inj @ sK2 @ (sK14 @ sK13)) = $true) | ($false = (relr @ X0 @ X1)) | ($false = (reli @ sK10 @ X0)) | ($false = $true)) ) | ~spl3_2),
% 1.75/0.60 inference(forward_demodulation,[],[f516,f465])).
% 1.75/0.60 thf(f465,plain,(
% 1.75/0.60 ((sK1 @ sK13) = $false) | ~spl3_2),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f464])).
% 1.75/0.60 thf(f464,plain,(
% 1.75/0.60 ($false = $true) | ((sK1 @ sK13) = $false) | ~spl3_2),
% 1.75/0.60 inference(forward_demodulation,[],[f460,f265])).
% 1.75/0.60 thf(f460,plain,(
% 1.75/0.60 ($true = (sK0 @ sK13)) | ((sK1 @ sK13) = $false) | ~spl3_2),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f448])).
% 1.75/0.60 thf(f448,plain,(
% 1.75/0.60 ($true = (sK0 @ sK13)) | ($false = $true) | ((sK1 @ sK13) = $false) | ~spl3_2),
% 1.75/0.60 inference(superposition,[],[f427,f382])).
% 1.75/0.60 thf(f516,plain,(
% 1.75/0.60 ( ! [X0 : $i,X1 : $i] : (((princ_inj @ sK2 @ (sK14 @ sK13)) = $true) | ($false = (reli @ X1 @ sK13)) | ($false = (relr @ X0 @ X1)) | ((sK1 @ sK13) = $true) | ($false = (reli @ sK10 @ X0))) )),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f512])).
% 1.75/0.60 thf(f512,plain,(
% 1.75/0.60 ( ! [X0 : $i,X1 : $i] : (((princ_inj @ sK2 @ (sK14 @ sK13)) = $true) | ((sK1 @ sK13) = $true) | ($false = (reli @ sK10 @ X0)) | ($false = (relr @ X0 @ X1)) | ($false = $true) | ($false = (reli @ X1 @ sK13))) )),
% 1.75/0.60 inference(superposition,[],[f269,f285])).
% 1.75/0.60 thf(f285,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((reli @ X3 @ (sK14 @ X3)) = $true) | ($false = (reli @ sK10 @ X1)) | ($true = (sK1 @ X3)) | ($false = (reli @ X2 @ X3)) | ($false = (relr @ X1 @ X2))) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f283])).
% 1.75/0.60 thf(f269,plain,(
% 1.75/0.60 ( ! [X1 : $i] : (($false = (reli @ sK13 @ X1)) | ((princ_inj @ sK2 @ X1) = $true)) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f268])).
% 1.75/0.60 thf(f268,plain,(
% 1.75/0.60 ( ! [X1 : $i] : (($true = ((reli @ sK13 @ X1) => (princ_inj @ sK2 @ X1)))) )),
% 1.75/0.60 inference(beta_eta_normalization,[],[f267])).
% 1.75/0.60 thf(f267,plain,(
% 1.75/0.60 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((reli @ sK13 @ Y0) => (princ_inj @ sK2 @ Y0))) @ X1))) )),
% 1.75/0.60 inference(pi_clausification,[],[f266])).
% 1.75/0.60 thf(f266,plain,(
% 1.75/0.60 ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK13 @ Y0) => (princ_inj @ sK2 @ Y0)))))),
% 1.75/0.60 inference(not_proxy_clausification,[],[f264])).
% 1.75/0.60 thf(f264,plain,(
% 1.75/0.60 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK13 @ Y0) => (princ_inj @ sK2 @ Y0))))))),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f262])).
% 1.75/0.60 thf(f432,plain,(
% 1.75/0.60 spl3_3 | spl3_2 | spl3_1),
% 1.75/0.60 inference(avatar_split_clause,[],[f418,f422,f426,f429])).
% 1.75/0.60 thf(f418,plain,(
% 1.75/0.60 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (sK0 @ X1)) | ($true = (princ_inj @ sK2 @ (sK15 @ sK13))) | ($false = (reli @ sK13 @ X1)) | ((sK1 @ X1) = $false) | ($false = (reli @ sK9 @ X2)) | ($false = (reli @ X0 @ sK13)) | ($false = (relr @ X2 @ X0))) )),
% 1.75/0.60 inference(trivial_inequality_removal,[],[f410])).
% 1.75/0.60 thf(f410,plain,(
% 1.75/0.60 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (princ_inj @ sK2 @ (sK15 @ sK13))) | ($false = (reli @ sK9 @ X2)) | ((sK1 @ X1) = $false) | ($true = (sK0 @ X1)) | ($false = (reli @ sK13 @ X1)) | ($false = (reli @ X0 @ sK13)) | ($false = (relr @ X2 @ X0)) | ($false = $true)) )),
% 1.75/0.60 inference(superposition,[],[f269,f306])).
% 1.75/0.60 thf(f306,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (reli @ X3 @ (sK15 @ X3))) | ($false = (reli @ X2 @ X3)) | ($true = (sK0 @ X4)) | ($false = (sK1 @ X4)) | ($false = (reli @ sK9 @ X1)) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ X3 @ X4))) )),
% 1.75/0.60 inference(not_proxy_clausification,[],[f305])).
% 1.75/0.60 thf(f305,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (sK0 @ X4)) | ($false = (reli @ sK9 @ X1)) | ((~ (sK1 @ X4)) = $true) | ($false = (reli @ X3 @ X4)) | ($true = (reli @ X3 @ (sK15 @ X3))) | ($false = (reli @ X2 @ X3)) | ($false = (relr @ X1 @ X2))) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f304])).
% 1.75/0.60 thf(f304,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (reli @ X3 @ X4)) | ($true = (reli @ X3 @ (sK15 @ X3))) | ($true = ((sK0 @ X4) | (~ (sK1 @ X4)))) | ($false = (reli @ X2 @ X3)) | ($false = (reli @ sK9 @ X1)) | ($false = (relr @ X1 @ X2))) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f303])).
% 1.75/0.60 thf(f303,plain,(
% 1.75/0.60 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((reli @ X3 @ X4) => ((sK0 @ X4) | (~ (sK1 @ X4))))) | ($true = (reli @ X3 @ (sK15 @ X3))) | ($false = (reli @ sK9 @ X1)) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ X2 @ X3))) )),
% 1.75/0.60 inference(binary_proxy_clausification,[],[f301])).
% 1.75/0.60 % SZS output end Proof for Vampire---4
% 1.75/0.60 % (26962)------------------------------
% 1.75/0.60 % (26962)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.75/0.60 % (26962)Termination reason: Refutation
% 1.75/0.60
% 1.75/0.60 % (26962)Memory used [KB]: 6524
% 1.75/0.60 % (26962)Time elapsed: 0.122 s
% 1.75/0.60 % (26962)Instructions burned: 232 (million)
% 1.75/0.60 % (26962)------------------------------
% 1.75/0.60 % (26962)------------------------------
% 1.75/0.60 % (26932)Success in time 0.214 s
% 1.75/0.60 % Vampire---4.8 exiting
%------------------------------------------------------------------------------