TSTP Solution File: SWV431^2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV431^2 : TPTP v8.1.2. Released v3.6.0.
% 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 : n017.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 10:34:32 EDT 2024
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV431^2 : TPTP v8.1.2. Released v3.6.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Fri May 3 21:04:38 EDT 2024
% 0.18/0.34 % CPUTime :
% 0.18/0.34 This is a TH0_THM_EQU_NAR problem
% 0.18/0.34 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.zKHNJtcSjB/Vampire---4.8_29318
% 0.18/0.36 % (29430)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.18/0.36 % (29433)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.18/0.36 % (29432)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)
% 0.18/0.36 % (29431)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)
% 0.18/0.36 % (29428)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)
% 0.18/0.36 % (29429)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)
% 0.18/0.36 % (29430)Instruction limit reached!
% 0.18/0.36 % (29430)------------------------------
% 0.18/0.36 % (29430)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.36 % (29430)Termination reason: Unknown
% 0.18/0.36 % (29430)Termination phase: shuffling
% 0.18/0.36
% 0.18/0.36 % (29430)Memory used [KB]: 1023
% 0.18/0.36 % (29430)Time elapsed: 0.003 s
% 0.18/0.36 % (29430)Instructions burned: 2 (million)
% 0.18/0.36 % (29430)------------------------------
% 0.18/0.36 % (29430)------------------------------
% 0.18/0.36 % (29427)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)
% 0.18/0.36 % (29431)Instruction limit reached!
% 0.18/0.36 % (29431)------------------------------
% 0.18/0.36 % (29431)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.36 % (29431)Termination reason: Unknown
% 0.18/0.36 % (29431)Termination phase: shuffling
% 0.18/0.36
% 0.18/0.36 % (29431)Memory used [KB]: 1023
% 0.18/0.36 % (29431)Time elapsed: 0.002 s
% 0.18/0.36 % (29431)Instructions burned: 2 (million)
% 0.18/0.36 % (29431)------------------------------
% 0.18/0.36 % (29431)------------------------------
% 0.18/0.36 % (29428)Instruction limit reached!
% 0.18/0.36 % (29428)------------------------------
% 0.18/0.36 % (29428)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.36 % (29428)Termination reason: Unknown
% 0.18/0.36 % (29428)Termination phase: Property scanning
% 0.18/0.36
% 0.18/0.36 % (29428)Memory used [KB]: 1023
% 0.18/0.36 % (29428)Time elapsed: 0.004 s
% 0.18/0.36 % (29428)Instructions burned: 5 (million)
% 0.18/0.36 % (29428)------------------------------
% 0.18/0.36 % (29428)------------------------------
% 0.18/0.36 % (29434)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)
% 0.18/0.36 % (29432)Refutation not found, incomplete strategy
% 0.18/0.36 % (29432)------------------------------
% 0.18/0.36 % (29432)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.36 % (29432)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.36
% 0.18/0.36
% 0.18/0.36 % (29432)Memory used [KB]: 5500
% 0.18/0.36 % (29432)Time elapsed: 0.005 s
% 0.18/0.36 % (29432)Instructions burned: 6 (million)
% 0.18/0.36 % (29432)------------------------------
% 0.18/0.36 % (29432)------------------------------
% 0.18/0.36 % (29434)Instruction limit reached!
% 0.18/0.36 % (29434)------------------------------
% 0.18/0.36 % (29434)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.36 % (29434)Termination reason: Unknown
% 0.18/0.36 % (29434)Termination phase: Property scanning
% 0.18/0.36
% 0.18/0.36 % (29434)Memory used [KB]: 1023
% 0.18/0.36 % (29434)Time elapsed: 0.004 s
% 0.18/0.36 % (29434)Instructions burned: 4 (million)
% 0.18/0.36 % (29434)------------------------------
% 0.18/0.36 % (29434)------------------------------
% 0.18/0.37 % (29433)Instruction limit reached!
% 0.18/0.37 % (29433)------------------------------
% 0.18/0.37 % (29433)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.37 % (29433)Termination reason: Unknown
% 0.18/0.37 % (29433)Termination phase: Saturation
% 0.18/0.37
% 0.18/0.37 % (29433)Memory used [KB]: 5628
% 0.18/0.37 % (29433)Time elapsed: 0.011 s
% 0.18/0.37 % (29433)Instructions burned: 19 (million)
% 0.18/0.37 % (29433)------------------------------
% 0.18/0.37 % (29433)------------------------------
% 0.18/0.37 % (29435)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)
% 0.18/0.37 % (29429)Instruction limit reached!
% 0.18/0.37 % (29429)------------------------------
% 0.18/0.37 % (29429)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.37 % (29429)Termination reason: Unknown
% 0.18/0.37 % (29429)Termination phase: Saturation
% 0.18/0.37
% 0.18/0.37 % (29429)Memory used [KB]: 5756
% 0.18/0.37 % (29429)Time elapsed: 0.016 s
% 0.18/0.37 % (29429)Instructions burned: 27 (million)
% 0.18/0.37 % (29429)------------------------------
% 0.18/0.37 % (29429)------------------------------
% 0.18/0.37 % (29436)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)
% 0.18/0.37 % (29438)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)
% 0.18/0.38 % (29439)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)
% 0.18/0.38 % (29437)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)
% 0.18/0.38 % (29440)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)
% 0.18/0.38 % (29437)Instruction limit reached!
% 0.18/0.38 % (29437)------------------------------
% 0.18/0.38 % (29437)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (29437)Termination reason: Unknown
% 0.18/0.38 % (29437)Termination phase: shuffling
% 0.18/0.38
% 0.18/0.38 % (29437)Memory used [KB]: 1023
% 0.18/0.38 % (29437)Time elapsed: 0.003 s
% 0.18/0.38 % (29437)Instructions burned: 3 (million)
% 0.18/0.38 % (29437)------------------------------
% 0.18/0.38 % (29437)------------------------------
% 0.18/0.38 % (29439)Instruction limit reached!
% 0.18/0.38 % (29439)------------------------------
% 0.18/0.38 % (29439)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (29439)Termination reason: Unknown
% 0.18/0.38 % (29439)Termination phase: Saturation
% 0.18/0.38
% 0.18/0.38 % (29439)Memory used [KB]: 1023
% 0.18/0.38 % (29439)Time elapsed: 0.005 s
% 0.18/0.38 % (29439)Instructions burned: 8 (million)
% 0.18/0.38 % (29439)------------------------------
% 0.18/0.38 % (29439)------------------------------
% 0.18/0.38 % (29436)Instruction limit reached!
% 0.18/0.38 % (29436)------------------------------
% 0.18/0.38 % (29436)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (29436)Termination reason: Unknown
% 0.18/0.38 % (29436)Termination phase: Saturation
% 0.18/0.38
% 0.18/0.38 % (29436)Memory used [KB]: 5756
% 0.18/0.38 % (29436)Time elapsed: 0.009 s
% 0.18/0.38 % (29436)Instructions burned: 16 (million)
% 0.18/0.38 % (29436)------------------------------
% 0.18/0.38 % (29436)------------------------------
% 0.18/0.39 % (29440)Instruction limit reached!
% 0.18/0.39 % (29440)------------------------------
% 0.18/0.39 % (29440)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.39 % (29440)Termination reason: Unknown
% 0.18/0.39 % (29440)Termination phase: Saturation
% 0.18/0.39
% 0.18/0.39 % (29440)Memory used [KB]: 5628
% 0.18/0.39 % (29440)Time elapsed: 0.009 s
% 0.18/0.39 % (29440)Instructions burned: 17 (million)
% 0.18/0.39 % (29440)------------------------------
% 0.18/0.39 % (29440)------------------------------
% 0.18/0.39 % (29441)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)
% 0.18/0.39 % (29441)Instruction limit reached!
% 0.18/0.39 % (29441)------------------------------
% 0.18/0.39 % (29441)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.39 % (29441)Termination reason: Unknown
% 0.18/0.39 % (29441)Termination phase: shuffling
% 0.18/0.39
% 0.18/0.39 % (29441)Memory used [KB]: 1023
% 0.18/0.39 % (29441)Time elapsed: 0.003 s
% 0.18/0.39 % (29441)Instructions burned: 3 (million)
% 0.18/0.39 % (29441)------------------------------
% 0.18/0.39 % (29441)------------------------------
% 0.18/0.39 % (29435)Instruction limit reached!
% 0.18/0.39 % (29435)------------------------------
% 0.18/0.39 % (29435)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.39 % (29435)Termination reason: Unknown
% 0.18/0.39 % (29435)Termination phase: Saturation
% 0.18/0.39
% 0.18/0.39 % (29435)Memory used [KB]: 5884
% 0.18/0.39 % (29435)Time elapsed: 0.018 s
% 0.18/0.39 % (29435)Instructions burned: 37 (million)
% 0.18/0.39 % (29435)------------------------------
% 0.18/0.39 % (29435)------------------------------
% 0.18/0.39 % (29443)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)
% 0.18/0.39 % (29444)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)
% 0.18/0.40 % (29442)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)
% 0.18/0.40 % (29444)Instruction limit reached!
% 0.18/0.40 % (29444)------------------------------
% 0.18/0.40 % (29444)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.40 % (29444)Termination reason: Unknown
% 0.18/0.40 % (29444)Termination phase: Function definition elimination
% 0.18/0.40
% 0.18/0.40 % (29444)Memory used [KB]: 1023
% 0.18/0.40 % (29444)Time elapsed: 0.003 s
% 0.18/0.40 % (29444)Instructions burned: 4 (million)
% 0.18/0.40 % (29444)------------------------------
% 0.18/0.40 % (29444)------------------------------
% 0.18/0.40 % (29443)Instruction limit reached!
% 0.18/0.40 % (29443)------------------------------
% 0.18/0.40 % (29443)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.40 % (29443)Termination reason: Unknown
% 0.18/0.40 % (29443)Termination phase: Saturation
% 0.18/0.40
% 0.18/0.40 % (29443)Memory used [KB]: 5500
% 0.18/0.40 % (29443)Time elapsed: 0.005 s
% 0.18/0.40 % (29443)Instructions burned: 8 (million)
% 0.18/0.40 % (29443)------------------------------
% 0.18/0.40 % (29443)------------------------------
% 0.18/0.40 % (29442)Instruction limit reached!
% 0.18/0.40 % (29442)------------------------------
% 0.18/0.40 % (29442)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.40 % (29442)Termination reason: Unknown
% 0.18/0.40 % (29442)Termination phase: Property scanning
% 0.18/0.40
% 0.18/0.40 % (29442)Memory used [KB]: 1023
% 0.18/0.40 % (29442)Time elapsed: 0.004 s
% 0.18/0.40 % (29442)Instructions burned: 4 (million)
% 0.18/0.40 % (29442)------------------------------
% 0.18/0.40 % (29442)------------------------------
% 0.18/0.40 % (29447)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)
% 0.18/0.40 % (29445)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)
% 0.18/0.40 % (29446)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)
% 0.18/0.40 % (29445)Instruction limit reached!
% 0.18/0.40 % (29445)------------------------------
% 0.18/0.40 % (29445)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.40 % (29445)Termination reason: Unknown
% 0.18/0.40 % (29445)Termination phase: Property scanning
% 0.18/0.40
% 0.18/0.40 % (29445)Memory used [KB]: 1023
% 0.18/0.40 % (29445)Time elapsed: 0.004 s
% 0.18/0.40 % (29445)Instructions burned: 5 (million)
% 0.18/0.40 % (29445)------------------------------
% 0.18/0.40 % (29445)------------------------------
% 0.18/0.41 % (29449)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)
% 0.18/0.41 % (29448)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.18/0.41 % (29450)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)
% 0.18/0.41 % (29446)Instruction limit reached!
% 0.18/0.41 % (29446)------------------------------
% 0.18/0.41 % (29446)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.41 % (29446)Termination reason: Unknown
% 0.18/0.41 % (29446)Termination phase: Saturation
% 0.18/0.41
% 0.18/0.41 % (29446)Memory used [KB]: 5628
% 0.18/0.41 % (29446)Time elapsed: 0.011 s
% 0.18/0.41 % (29446)Instructions burned: 18 (million)
% 0.18/0.41 % (29446)------------------------------
% 0.18/0.41 % (29446)------------------------------
% 0.18/0.41 % (29448)Instruction limit reached!
% 0.18/0.41 % (29448)------------------------------
% 0.18/0.41 % (29448)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.41 % (29448)Termination reason: Unknown
% 0.18/0.41 % (29449)Refutation not found, incomplete strategy
% 0.18/0.41 % (29449)------------------------------
% 0.18/0.41 % (29449)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.41 % (29449)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 % (29449)Memory used [KB]: 5500
% 0.18/0.41 % (29449)Time elapsed: 0.005 s
% 0.18/0.41 % (29449)Instructions burned: 6 (million)
% 0.18/0.41 % (29449)------------------------------
% 0.18/0.41 % (29449)------------------------------
% 0.18/0.41 % (29448)Termination phase: Saturation
% 0.18/0.41
% 0.18/0.41 % (29448)Memory used [KB]: 5500
% 0.18/0.41 % (29448)Time elapsed: 0.004 s
% 0.18/0.41 % (29448)Instructions burned: 8 (million)
% 0.18/0.41 % (29448)------------------------------
% 0.18/0.41 % (29448)------------------------------
% 0.19/0.42 % (29451)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.19/0.42 % (29450)Instruction limit reached!
% 0.19/0.42 % (29450)------------------------------
% 0.19/0.42 % (29450)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (29451)Instruction limit reached!
% 0.19/0.42 % (29451)------------------------------
% 0.19/0.42 % (29451)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (29451)Termination reason: Unknown
% 0.19/0.42 % (29451)Termination phase: Property scanning
% 0.19/0.42
% 0.19/0.42 % (29451)Memory used [KB]: 1023
% 0.19/0.42 % (29451)Time elapsed: 0.004 s
% 0.19/0.42 % (29451)Instructions burned: 6 (million)
% 0.19/0.42 % (29451)------------------------------
% 0.19/0.42 % (29451)------------------------------
% 0.19/0.42 % (29450)Termination reason: Unknown
% 0.19/0.42 % (29450)Termination phase: Saturation
% 0.19/0.42
% 0.19/0.42 % (29450)Memory used [KB]: 5628
% 0.19/0.42 % (29450)Time elapsed: 0.012 s
% 0.19/0.42 % (29450)Instructions burned: 22 (million)
% 0.19/0.42 % (29450)------------------------------
% 0.19/0.42 % (29450)------------------------------
% 0.19/0.42 % (29453)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)
% 0.19/0.43 % (29452)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)
% 0.19/0.43 % (29452)Instruction limit reached!
% 0.19/0.43 % (29452)------------------------------
% 0.19/0.43 % (29452)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43 % (29452)Termination reason: Unknown
% 0.19/0.43 % (29452)Termination phase: Saturation
% 0.19/0.43
% 0.19/0.43 % (29452)Memory used [KB]: 5500
% 0.19/0.43 % (29452)Time elapsed: 0.005 s
% 0.19/0.43 % (29452)Instructions burned: 6 (million)
% 0.19/0.43 % (29452)------------------------------
% 0.19/0.43 % (29452)------------------------------
% 0.19/0.43 % (29454)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)
% 0.19/0.43 % (29456)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)
% 0.19/0.44 % (29457)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.19/0.44 % (29455)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)
% 0.19/0.44 % (29427)Instruction limit reached!
% 0.19/0.44 % (29427)------------------------------
% 0.19/0.44 % (29427)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44 % (29427)Termination reason: Unknown
% 0.19/0.44 % (29427)Termination phase: Saturation
% 0.19/0.44
% 0.19/0.44 % (29427)Memory used [KB]: 6908
% 0.19/0.44 % (29427)Time elapsed: 0.087 s
% 0.19/0.44 % (29427)Instructions burned: 184 (million)
% 0.19/0.44 % (29427)------------------------------
% 0.19/0.44 % (29427)------------------------------
% 0.19/0.45 % (29455)Refutation not found, incomplete strategy
% 0.19/0.45 % (29455)------------------------------
% 0.19/0.45 % (29455)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45 % (29455)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 % (29455)Memory used [KB]: 5500
% 0.19/0.45 % (29455)Time elapsed: 0.004 s
% 0.19/0.45 % (29455)Instructions burned: 5 (million)
% 0.19/0.45 % (29455)------------------------------
% 0.19/0.45 % (29455)------------------------------
% 0.19/0.45 % (29453)First to succeed.
% 0.19/0.45 % (29457)Instruction limit reached!
% 0.19/0.45 % (29457)------------------------------
% 0.19/0.45 % (29457)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45 % (29457)Termination reason: Unknown
% 0.19/0.45 % (29457)Termination phase: Saturation
% 0.19/0.45
% 0.19/0.45 % (29457)Memory used [KB]: 5628
% 0.19/0.45 % (29457)Time elapsed: 0.010 s
% 0.19/0.45 % (29457)Instructions burned: 17 (million)
% 0.19/0.45 % (29457)------------------------------
% 0.19/0.45 % (29457)------------------------------
% 0.19/0.45 % (29453)Refutation found. Thanks to Tanya!
% 0.19/0.45 % SZS status Theorem for Vampire---4
% 0.19/0.45 % SZS output start Proof for Vampire---4
% 0.19/0.45 thf(type_def_6, type, individuals: $tType).
% 0.19/0.45 thf(func_def_1, type, prop_a: $i > $o).
% 0.19/0.45 thf(func_def_2, type, prop_b: $i > $o).
% 0.19/0.45 thf(func_def_3, type, prop_c: $i > $o).
% 0.19/0.45 thf(func_def_4, type, mfalse: $i > $o).
% 0.19/0.45 thf(func_def_5, type, mtrue: $i > $o).
% 0.19/0.45 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.19/0.45 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.19/0.45 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.19/0.45 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.19/0.45 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.19/0.45 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.19/0.45 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.19/0.45 thf(func_def_14, type, individuals: $tType).
% 0.19/0.45 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.19/0.45 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.19/0.45 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.19/0.45 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.19/0.45 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.19/0.45 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.19/0.45 thf(func_def_21, type, rel: $i > $i > $o).
% 0.19/0.45 thf(func_def_22, type, icl_atom: ($i > $o) > $i > $o).
% 0.19/0.45 thf(func_def_23, type, icl_princ: ($i > $o) > $i > $o).
% 0.19/0.45 thf(func_def_24, type, icl_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.19/0.45 thf(func_def_25, type, icl_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.19/0.45 thf(func_def_26, type, icl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.19/0.45 thf(func_def_27, type, icl_true: $i > $o).
% 0.19/0.45 thf(func_def_28, type, icl_false: $i > $o).
% 0.19/0.45 thf(func_def_29, type, icl_says: ($i > $o) > ($i > $o) > $i > $o).
% 0.19/0.45 thf(func_def_30, type, iclval: ($i > $o) > $o).
% 0.19/0.45 thf(func_def_31, type, icl_impl_princ: ($i > $o) > ($i > $o) > $i > $o).
% 0.19/0.45 thf(func_def_32, type, a: $i > $o).
% 0.19/0.45 thf(func_def_33, type, b: $i > $o).
% 0.19/0.45 thf(func_def_34, type, s: $i > $o).
% 0.19/0.45 thf(func_def_54, type, sK6: $i > ($i > $o) > $i).
% 0.19/0.45 thf(func_def_55, type, sK7: $i > ($i > $o) > $i).
% 0.19/0.45 thf(func_def_56, type, ph8: !>[X0: $tType]:(X0)).
% 0.19/0.45 thf(f632,plain,(
% 0.19/0.45 $false),
% 0.19/0.45 inference(avatar_sat_refutation,[],[f267,f303,f478,f544,f629])).
% 0.19/0.45 thf(f629,plain,(
% 0.19/0.45 ~spl0_6 | ~spl0_19),
% 0.19/0.45 inference(avatar_contradiction_clause,[],[f628])).
% 0.19/0.45 thf(f628,plain,(
% 0.19/0.45 $false | (~spl0_6 | ~spl0_19)),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f627])).
% 0.19/0.45 thf(f627,plain,(
% 0.19/0.45 ($false = $true) | (~spl0_6 | ~spl0_19)),
% 0.19/0.45 inference(backward_demodulation,[],[f263,f626])).
% 0.19/0.45 thf(f626,plain,(
% 0.19/0.45 ($false = (a @ sK4)) | ~spl0_19),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f625])).
% 0.19/0.45 thf(f625,plain,(
% 0.19/0.45 ($false = (a @ sK4)) | ($false = $true) | ~spl0_19),
% 0.19/0.45 inference(forward_demodulation,[],[f623,f157])).
% 0.19/0.45 thf(f157,plain,(
% 0.19/0.45 ($false = (b @ sK4))),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f154])).
% 0.19/0.45 thf(f154,plain,(
% 0.19/0.45 ($false = ((b @ sK4) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0))))))),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f153])).
% 0.19/0.45 thf(f153,plain,(
% 0.19/0.45 (((rel @ sK3 @ sK4) => ((b @ sK4) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))))) = $false)),
% 0.19/0.45 inference(beta_eta_normalization,[],[f152])).
% 0.19/0.45 thf(f152,plain,(
% 0.19/0.45 ($false = ((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))) @ sK4))),
% 0.19/0.45 inference(sigma_clausification,[],[f142])).
% 0.19/0.45 thf(f142,plain,(
% 0.19/0.45 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))))))) = $false)),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f140])).
% 0.19/0.45 thf(f140,plain,(
% 0.19/0.45 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))))),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f139])).
% 0.19/0.45 thf(f139,plain,(
% 0.19/0.45 (((rel @ sK2 @ sK3) => ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))))))))) = $false)),
% 0.19/0.45 inference(beta_eta_normalization,[],[f138])).
% 0.19/0.45 thf(f138,plain,(
% 0.19/0.45 (((^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))))) @ sK3) = $false)),
% 0.19/0.45 inference(sigma_clausification,[],[f130])).
% 0.19/0.45 thf(f130,plain,(
% 0.19/0.45 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))))))))))))),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f128])).
% 0.19/0.45 thf(f128,plain,(
% 0.19/0.45 (((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (a @ Y0)) | (b @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))))))) = $false)),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f127])).
% 0.19/0.45 thf(f127,plain,(
% 0.19/0.45 (((rel @ sK1 @ sK2) => ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (a @ Y0)) | (b @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))))))))))))) = $false)),
% 0.19/0.45 inference(beta_eta_normalization,[],[f126])).
% 0.19/0.45 thf(f126,plain,(
% 0.19/0.45 (((^[Y0 : $i]: ((rel @ sK1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (b @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((a @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3))))))))))))))) @ sK2) = $false)),
% 0.19/0.45 inference(sigma_clausification,[],[f125])).
% 0.19/0.45 thf(f125,plain,(
% 0.19/0.45 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (a @ Y1)) | (b @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((a @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))))))))))))))))),
% 0.19/0.45 inference(beta_eta_normalization,[],[f124])).
% 0.19/0.45 thf(f124,plain,(
% 0.19/0.45 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (a @ Y2)) | (b @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((a @ Y3) | (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4))))))))) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((b @ Y3) | (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4))))))))))))))))) @ sK1))),
% 0.19/0.45 inference(sigma_clausification,[],[f123])).
% 0.19/0.45 thf(f123,plain,(
% 0.19/0.45 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (a @ Y2)) | (b @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((a @ Y3) | (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4))))))))) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((b @ Y3) | (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4)))))))))))))))))) != $true)),
% 0.19/0.45 inference(beta_eta_normalization,[],[f121])).
% 0.19/0.45 thf(f121,plain,(
% 0.19/0.45 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: (Y0)) @ b)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ s)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ b) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ s))))) != $true)),
% 0.19/0.45 inference(definition_unfolding,[],[f104,f118,f114,f119,f88,f88,f114,f117,f88,f111,f117,f88,f111])).
% 0.19/0.45 thf(f111,plain,(
% 0.19/0.45 (icl_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)))),
% 0.19/0.45 inference(definition_unfolding,[],[f81,f91])).
% 0.19/0.45 thf(f91,plain,(
% 0.19/0.45 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.19/0.45 inference(cnf_transformation,[],[f62])).
% 0.19/0.45 thf(f62,plain,(
% 0.19/0.45 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.19/0.45 inference(fool_elimination,[],[f61])).
% 0.19/0.45 thf(f61,plain,(
% 0.19/0.45 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 0.19/0.45 inference(rectify,[],[f8])).
% 0.19/0.45 thf(f8,axiom,(
% 0.19/0.45 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 0.19/0.45 file('/export/starexec/sandbox2/tmp/tmp.zKHNJtcSjB/Vampire---4.8_29318',mbox)).
% 0.19/0.45 thf(f81,plain,(
% 0.19/0.45 (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
% 0.19/0.45 inference(cnf_transformation,[],[f66])).
% 0.19/0.45 thf(f66,plain,(
% 0.19/0.45 (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
% 0.19/0.45 inference(fool_elimination,[],[f65])).
% 0.19/0.45 thf(f65,plain,(
% 0.19/0.45 (icl_atom = (^[X0 : $i > $o] : (mbox @ rel @ X0)))),
% 0.19/0.45 inference(rectify,[],[f16])).
% 0.19/0.45 thf(f16,axiom,(
% 0.19/0.45 (icl_atom = (^[X5 : $i > $o] : (mbox @ rel @ X5)))),
% 0.19/0.45 file('/export/starexec/sandbox2/tmp/tmp.zKHNJtcSjB/Vampire---4.8_29318',icl_atom)).
% 0.19/0.45 thf(f117,plain,(
% 0.19/0.45 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))))),
% 0.19/0.45 inference(definition_unfolding,[],[f108,f91,f87])).
% 0.19/0.45 thf(f87,plain,(
% 0.19/0.45 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.19/0.45 inference(cnf_transformation,[],[f58])).
% 0.19/0.45 thf(f58,plain,(
% 0.19/0.45 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.19/0.45 inference(fool_elimination,[],[f57])).
% 0.19/0.45 thf(f57,plain,(
% 0.19/0.45 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 0.19/0.45 inference(rectify,[],[f4])).
% 0.19/0.45 thf(f4,axiom,(
% 0.19/0.45 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X2 @ X1) | (X0 @ X1))) = mor)),
% 0.19/0.45 file('/export/starexec/sandbox2/tmp/tmp.zKHNJtcSjB/Vampire---4.8_29318',mor)).
% 0.19/0.45 thf(f108,plain,(
% 0.19/0.45 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.19/0.45 inference(cnf_transformation,[],[f72])).
% 0.19/0.45 thf(f72,plain,(
% 0.19/0.45 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.19/0.45 inference(fool_elimination,[],[f71])).
% 0.19/0.45 thf(f71,plain,(
% 0.19/0.45 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mor @ X0 @ X1))) = icl_says)),
% 0.19/0.45 inference(rectify,[],[f23])).
% 0.19/0.45 thf(f23,axiom,(
% 0.19/0.45 ((^[X7 : $i > $o, X9 : $i > $o] : (mbox @ rel @ (mor @ X7 @ X9))) = icl_says)),
% 0.19/0.45 file('/export/starexec/sandbox2/tmp/tmp.zKHNJtcSjB/Vampire---4.8_29318',icl_says)).
% 0.19/0.45 thf(f88,plain,(
% 0.19/0.45 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.19/0.45 inference(cnf_transformation,[],[f68])).
% 0.19/0.45 thf(f68,plain,(
% 0.19/0.45 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.19/0.45 inference(fool_elimination,[],[f67])).
% 0.19/0.45 thf(f67,plain,(
% 0.19/0.45 (icl_princ = (^[X0 : $i > $o] : (X0)))),
% 0.19/0.45 inference(rectify,[],[f17])).
% 0.19/0.45 thf(f17,axiom,(
% 0.19/0.45 (icl_princ = (^[X5 : $i > $o] : (X5)))),
% 0.19/0.45 file('/export/starexec/sandbox2/tmp/tmp.zKHNJtcSjB/Vampire---4.8_29318',icl_princ)).
% 0.19/0.45 thf(f119,plain,(
% 0.19/0.45 (icl_impl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
% 0.19/0.45 inference(definition_unfolding,[],[f85,f91,f109])).
% 0.19/0.45 thf(f109,plain,(
% 0.19/0.45 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.19/0.45 inference(definition_unfolding,[],[f96,f87,f99])).
% 0.19/0.45 thf(f99,plain,(
% 0.19/0.45 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.19/0.45 inference(cnf_transformation,[],[f43])).
% 0.19/0.45 thf(f43,plain,(
% 0.19/0.45 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.19/0.45 inference(fool_elimination,[],[f42])).
% 0.19/0.45 thf(f42,plain,(
% 0.19/0.45 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.19/0.45 inference(rectify,[],[f3])).
% 0.19/0.45 thf(f3,axiom,(
% 0.19/0.45 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.19/0.45 file('/export/starexec/sandbox2/tmp/tmp.zKHNJtcSjB/Vampire---4.8_29318',mnot)).
% 0.19/0.45 thf(f96,plain,(
% 0.19/0.45 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.19/0.45 inference(cnf_transformation,[],[f64])).
% 0.19/0.45 thf(f64,plain,(
% 0.19/0.45 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.19/0.45 inference(fool_elimination,[],[f63])).
% 0.19/0.45 thf(f63,plain,(
% 0.19/0.45 (mimpl = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.19/0.45 inference(rectify,[],[f6])).
% 0.19/0.45 thf(f6,axiom,(
% 0.19/0.45 (mimpl = (^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)))),
% 0.19/0.45 file('/export/starexec/sandbox2/tmp/tmp.zKHNJtcSjB/Vampire---4.8_29318',mimpl)).
% 0.19/0.45 thf(f85,plain,(
% 0.19/0.45 (icl_impl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.19/0.45 inference(cnf_transformation,[],[f45])).
% 0.19/0.45 thf(f45,plain,(
% 0.19/0.45 (icl_impl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.19/0.45 inference(fool_elimination,[],[f44])).
% 0.19/0.45 thf(f44,plain,(
% 0.19/0.45 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))) = icl_impl_princ)),
% 0.19/0.45 inference(rectify,[],[f27])).
% 0.19/0.45 thf(f27,axiom,(
% 0.19/0.45 ((^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))) = icl_impl_princ)),
% 0.19/0.45 file('/export/starexec/sandbox2/tmp/tmp.zKHNJtcSjB/Vampire---4.8_29318',icl_impl_princ)).
% 0.19/0.45 thf(f114,plain,(
% 0.19/0.45 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
% 0.19/0.45 inference(definition_unfolding,[],[f89,f91,f109])).
% 0.19/0.45 thf(f89,plain,(
% 0.19/0.45 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.19/0.45 inference(cnf_transformation,[],[f38])).
% 0.19/0.45 thf(f38,plain,(
% 0.19/0.45 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.19/0.45 inference(fool_elimination,[],[f37])).
% 0.19/0.45 thf(f37,plain,(
% 0.19/0.45 (icl_impl = (^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))))),
% 0.19/0.45 inference(rectify,[],[f20])).
% 0.19/0.45 thf(f20,axiom,(
% 0.19/0.45 (icl_impl = (^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))))),
% 0.19/0.45 file('/export/starexec/sandbox2/tmp/tmp.zKHNJtcSjB/Vampire---4.8_29318',icl_impl)).
% 0.19/0.45 thf(f118,plain,(
% 0.19/0.45 (iclval = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)))),
% 0.19/0.45 inference(definition_unfolding,[],[f97,f107])).
% 0.19/0.45 thf(f107,plain,(
% 0.19/0.45 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.19/0.45 inference(cnf_transformation,[],[f53])).
% 0.19/0.45 thf(f53,plain,(
% 0.19/0.45 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.19/0.45 inference(fool_elimination,[],[f52])).
% 0.19/0.45 thf(f52,plain,(
% 0.19/0.45 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.19/0.45 inference(rectify,[],[f12])).
% 0.19/0.45 thf(f12,axiom,(
% 0.19/0.45 ((^[X5 : $i > $o] : (! [X6] : (X5 @ X6))) = mvalid)),
% 0.19/0.45 file('/export/starexec/sandbox2/tmp/tmp.zKHNJtcSjB/Vampire---4.8_29318',mvalid)).
% 0.19/0.45 thf(f97,plain,(
% 0.19/0.45 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.19/0.45 inference(cnf_transformation,[],[f56])).
% 0.19/0.45 thf(f56,plain,(
% 0.19/0.45 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.19/0.45 inference(fool_elimination,[],[f24])).
% 0.19/0.45 thf(f24,axiom,(
% 0.19/0.45 (iclval = (^[X0 : $i > $o] : (mvalid @ X0)))),
% 0.19/0.45 file('/export/starexec/sandbox2/tmp/tmp.zKHNJtcSjB/Vampire---4.8_29318',icl_s4_valid)).
% 0.19/0.45 thf(f104,plain,(
% 0.19/0.45 ((iclval @ (icl_impl @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s))))) != $true)),
% 0.19/0.45 inference(cnf_transformation,[],[f80])).
% 0.19/0.45 thf(f80,plain,(
% 0.19/0.45 ((iclval @ (icl_impl @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s))))) != $true)),
% 0.19/0.45 inference(flattening,[],[f79])).
% 0.19/0.45 thf(f79,plain,(
% 0.19/0.45 ~((iclval @ (icl_impl @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s))))) = $true)),
% 0.19/0.45 inference(fool_elimination,[],[f78])).
% 0.19/0.45 thf(f78,plain,(
% 0.19/0.45 ~(iclval @ (icl_impl @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s)))))),
% 0.19/0.45 inference(rectify,[],[f29])).
% 0.19/0.45 thf(f29,negated_conjecture,(
% 0.19/0.45 ~(iclval @ (icl_impl @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s)))))),
% 0.19/0.45 inference(negated_conjecture,[],[f28])).
% 0.19/0.45 thf(f28,conjecture,(
% 0.19/0.45 (iclval @ (icl_impl @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s)))))),
% 0.19/0.45 file('/export/starexec/sandbox2/tmp/tmp.zKHNJtcSjB/Vampire---4.8_29318',speaking_for)).
% 0.19/0.45 thf(f623,plain,(
% 0.19/0.45 ($true = (b @ sK4)) | ($false = (a @ sK4)) | ~spl0_19),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f613])).
% 0.19/0.45 thf(f613,plain,(
% 0.19/0.45 ($false = (a @ sK4)) | ($true = (b @ sK4)) | ($false = $true) | ~spl0_19),
% 0.19/0.45 inference(superposition,[],[f155,f600])).
% 0.19/0.45 thf(f600,plain,(
% 0.19/0.45 ( ! [X0 : $i] : (((rel @ sK3 @ X0) = $false) | ((b @ X0) = $true) | ((a @ X0) = $false)) ) | ~spl0_19),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f588])).
% 0.19/0.45 thf(f588,plain,(
% 0.19/0.45 ( ! [X0 : $i] : (((rel @ sK3 @ X0) = $false) | ((b @ X0) = $true) | ($false = $true) | ((a @ X0) = $false)) ) | ~spl0_19),
% 0.19/0.45 inference(superposition,[],[f566,f137])).
% 0.19/0.45 thf(f137,plain,(
% 0.19/0.45 ( ! [X1 : $i] : (($false = (rel @ sK2 @ X1)) | ($true = (b @ X1)) | ($false = (a @ X1))) )),
% 0.19/0.45 inference(not_proxy_clausification,[],[f136])).
% 0.19/0.45 thf(f136,plain,(
% 0.19/0.45 ( ! [X1 : $i] : (($false = (rel @ sK2 @ X1)) | ($true = (b @ X1)) | ((~ (a @ X1)) = $true)) )),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f135])).
% 0.19/0.45 thf(f135,plain,(
% 0.19/0.45 ( ! [X1 : $i] : (($false = (rel @ sK2 @ X1)) | (((~ (a @ X1)) | (b @ X1)) = $true)) )),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f134])).
% 0.19/0.45 thf(f134,plain,(
% 0.19/0.45 ( ! [X1 : $i] : (($true = ((rel @ sK2 @ X1) => ((~ (a @ X1)) | (b @ X1))))) )),
% 0.19/0.45 inference(beta_eta_normalization,[],[f133])).
% 0.19/0.45 thf(f133,plain,(
% 0.19/0.45 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (a @ Y0)) | (b @ Y0)))) @ X1))) )),
% 0.19/0.45 inference(pi_clausification,[],[f132])).
% 0.19/0.45 thf(f132,plain,(
% 0.19/0.45 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (a @ Y0)) | (b @ Y0))))) = $true)),
% 0.19/0.45 inference(not_proxy_clausification,[],[f131])).
% 0.19/0.45 thf(f131,plain,(
% 0.19/0.45 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (a @ Y0)) | (b @ Y0)))))))),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f128])).
% 0.19/0.45 thf(f566,plain,(
% 0.19/0.45 ( ! [X0 : $i] : (($true = (rel @ sK2 @ X0)) | ((rel @ sK3 @ X0) = $false)) ) | ~spl0_19),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f551])).
% 0.19/0.45 thf(f551,plain,(
% 0.19/0.45 ( ! [X0 : $i] : (($true = (rel @ sK2 @ X0)) | ((rel @ sK3 @ X0) = $false) | ($false = $true)) ) | ~spl0_19),
% 0.19/0.45 inference(superposition,[],[f468,f141])).
% 0.19/0.45 thf(f141,plain,(
% 0.19/0.45 ((rel @ sK2 @ sK3) = $true)),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f139])).
% 0.19/0.45 thf(f468,plain,(
% 0.19/0.45 ( ! [X3 : $i,X1 : $i] : (($false = (rel @ sK2 @ X1)) | ($false = (rel @ X1 @ X3)) | ((rel @ sK2 @ X3) = $true)) ) | ~spl0_19),
% 0.19/0.45 inference(avatar_component_clause,[],[f467])).
% 0.19/0.45 thf(f467,plain,(
% 0.19/0.45 spl0_19 <=> ! [X1,X3] : (($false = (rel @ X1 @ X3)) | ($false = (rel @ sK2 @ X1)) | ((rel @ sK2 @ X3) = $true))),
% 0.19/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])).
% 0.19/0.45 thf(f155,plain,(
% 0.19/0.45 ((rel @ sK3 @ sK4) = $true)),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f153])).
% 0.19/0.45 thf(f263,plain,(
% 0.19/0.45 ($true = (a @ sK4)) | ~spl0_6),
% 0.19/0.45 inference(avatar_component_clause,[],[f261])).
% 0.19/0.45 thf(f261,plain,(
% 0.19/0.45 spl0_6 <=> ($true = (a @ sK4))),
% 0.19/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.19/0.45 thf(f544,plain,(
% 0.19/0.45 ~spl0_6 | ~spl0_18),
% 0.19/0.45 inference(avatar_contradiction_clause,[],[f543])).
% 0.19/0.45 thf(f543,plain,(
% 0.19/0.45 $false | (~spl0_6 | ~spl0_18)),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f542])).
% 0.19/0.45 thf(f542,plain,(
% 0.19/0.45 ($false = $true) | (~spl0_6 | ~spl0_18)),
% 0.19/0.45 inference(backward_demodulation,[],[f263,f541])).
% 0.19/0.45 thf(f541,plain,(
% 0.19/0.45 ($false = (a @ sK4)) | ~spl0_18),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f540])).
% 0.19/0.45 thf(f540,plain,(
% 0.19/0.45 ($false = (a @ sK4)) | ($false = $true) | ~spl0_18),
% 0.19/0.45 inference(forward_demodulation,[],[f519,f157])).
% 0.19/0.45 thf(f519,plain,(
% 0.19/0.45 ($true = (b @ sK4)) | ($false = (a @ sK4)) | ~spl0_18),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f518])).
% 0.19/0.45 thf(f518,plain,(
% 0.19/0.45 ($true = (b @ sK4)) | ($false = (a @ sK4)) | ($false = $true) | ~spl0_18),
% 0.19/0.45 inference(superposition,[],[f155,f493])).
% 0.19/0.45 thf(f493,plain,(
% 0.19/0.45 ( ! [X0 : $i] : (((rel @ sK3 @ X0) = $false) | ((b @ X0) = $true) | ((a @ X0) = $false)) ) | ~spl0_18),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f484])).
% 0.19/0.45 thf(f484,plain,(
% 0.19/0.45 ( ! [X0 : $i] : (($false = $true) | ((b @ X0) = $true) | ((a @ X0) = $false) | ((rel @ sK3 @ X0) = $false)) ) | ~spl0_18),
% 0.19/0.45 inference(superposition,[],[f465,f141])).
% 0.19/0.45 thf(f465,plain,(
% 0.19/0.45 ( ! [X2 : $i,X0 : $i] : (($false = (rel @ sK2 @ X2)) | ((a @ X0) = $false) | ((b @ X0) = $true) | ((rel @ X2 @ X0) = $false)) ) | ~spl0_18),
% 0.19/0.45 inference(avatar_component_clause,[],[f464])).
% 0.19/0.45 thf(f464,plain,(
% 0.19/0.45 spl0_18 <=> ! [X2,X0] : (($false = (rel @ sK2 @ X2)) | ((a @ X0) = $false) | ((b @ X0) = $true) | ((rel @ X2 @ X0) = $false))),
% 0.19/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])).
% 0.19/0.45 thf(f478,plain,(
% 0.19/0.45 spl0_19 | spl0_18),
% 0.19/0.45 inference(avatar_split_clause,[],[f454,f464,f467])).
% 0.19/0.45 thf(f454,plain,(
% 0.19/0.45 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((a @ X0) = $false) | ($false = (rel @ X1 @ X3)) | ((rel @ X2 @ X0) = $false) | ($false = (rel @ sK2 @ X1)) | ((rel @ sK2 @ X3) = $true) | ((b @ X0) = $true) | ($false = (rel @ sK2 @ X2))) )),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f442])).
% 0.19/0.45 thf(f442,plain,(
% 0.19/0.45 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((b @ X0) = $true) | ((a @ X0) = $false) | ($false = (rel @ X1 @ X3)) | ($false = (rel @ sK2 @ X1)) | ((rel @ X2 @ X0) = $false) | ((rel @ sK2 @ X3) = $true) | ($false = $true) | ($false = (rel @ sK2 @ X2))) )),
% 0.19/0.45 inference(superposition,[],[f137,f344])).
% 0.19/0.45 thf(f344,plain,(
% 0.19/0.45 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (rel @ X0 @ X1)) | ((rel @ X0 @ X3) = $false) | ((rel @ X2 @ X1) = $false) | ((rel @ X0 @ X2) = $false) | ((rel @ X0 @ X4) = $true) | ($false = (rel @ X3 @ X4))) )),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f330])).
% 0.19/0.45 thf(f330,plain,(
% 0.19/0.45 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((rel @ X0 @ X4) = $true) | ((rel @ X2 @ X1) = $false) | ($false = $true) | ($true = (rel @ X0 @ X1)) | ($false = (rel @ X3 @ X4)) | ((rel @ X0 @ X2) = $false) | ((rel @ X0 @ X3) = $false)) )),
% 0.19/0.45 inference(superposition,[],[f176,f175])).
% 0.19/0.45 thf(f175,plain,(
% 0.19/0.45 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (X0 @ (sK6 @ X1 @ X0))) | ($false = (rel @ X1 @ X2)) | ($false = (rel @ X2 @ X3)) | ((X0 @ X3) = $true)) )),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f174])).
% 0.19/0.45 thf(f174,plain,(
% 0.19/0.45 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (rel @ X2 @ X3)) | ((X0 @ X3) = $true) | ($false = (rel @ X1 @ X2)) | ($false = ((rel @ X1 @ (sK6 @ X1 @ X0)) => (X0 @ (sK6 @ X1 @ X0))))) )),
% 0.19/0.45 inference(beta_eta_normalization,[],[f173])).
% 0.19/0.45 thf(f173,plain,(
% 0.19/0.45 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = ((^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))) @ (sK6 @ X1 @ X0))) | ($false = (rel @ X2 @ X3)) | ((X0 @ X3) = $true) | ($false = (rel @ X1 @ X2))) )),
% 0.19/0.45 inference(sigma_clausification,[],[f172])).
% 0.19/0.45 thf(f172,plain,(
% 0.19/0.45 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (rel @ X2 @ X3)) | ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))) = $false) | ($false = (rel @ X1 @ X2)) | ((X0 @ X3) = $true)) )),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f171])).
% 0.19/0.45 thf(f171,plain,(
% 0.19/0.45 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : ((((rel @ X2 @ X3) => (X0 @ X3)) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))) = $false) | ($false = (rel @ X1 @ X2))) )),
% 0.19/0.45 inference(beta_eta_normalization,[],[f170])).
% 0.19/0.45 thf(f170,plain,(
% 0.19/0.45 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0))) @ X3)) | ($false = (rel @ X1 @ X2)) | ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))) = $false)) )),
% 0.19/0.45 inference(pi_clausification,[],[f169])).
% 0.19/0.45 thf(f169,plain,(
% 0.19/0.45 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0))))) | ($false = (rel @ X1 @ X2)) | ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))) = $false)) )),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f168])).
% 0.19/0.45 thf(f168,plain,(
% 0.19/0.45 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = ((rel @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))) = $false)) )),
% 0.19/0.45 inference(beta_eta_normalization,[],[f167])).
% 0.19/0.45 thf(f167,plain,(
% 0.19/0.45 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))) = $false) | ($true = ((^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1)))))) @ X2))) )),
% 0.19/0.45 inference(pi_clausification,[],[f166])).
% 0.19/0.45 thf(f166,plain,(
% 0.19/0.45 ( ! [X0 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))) = $false)) )),
% 0.19/0.45 inference(not_proxy_clausification,[],[f165])).
% 0.19/0.45 thf(f165,plain,(
% 0.19/0.45 ( ! [X0 : $i > $o,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))))) = $true)) )),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f164])).
% 0.19/0.45 thf(f164,plain,(
% 0.19/0.45 ( ! [X0 : $i > $o,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1)))))))) = $true)) )),
% 0.19/0.45 inference(beta_eta_normalization,[],[f163])).
% 0.19/0.45 thf(f163,plain,(
% 0.19/0.45 ( ! [X0 : $i > $o,X1 : $i] : ((((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (X0 @ Y2))))))))) @ X1) = $true)) )),
% 0.19/0.45 inference(pi_clausification,[],[f162])).
% 0.19/0.45 thf(f162,plain,(
% 0.19/0.45 ( ! [X0 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (X0 @ Y2)))))))))))) )),
% 0.19/0.45 inference(beta_eta_normalization,[],[f120])).
% 0.19/0.45 thf(f120,plain,(
% 0.19/0.45 ( ! [X0 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ 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))))))))) @ rel @ X0) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ rel @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ rel @ X0)))))) )),
% 0.19/0.45 inference(definition_unfolding,[],[f84,f107,f109,f91,f91,f91])).
% 0.19/0.45 thf(f84,plain,(
% 0.19/0.45 ( ! [X0 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ rel @ X0) @ (mbox @ rel @ (mbox @ rel @ X0)))) = $true)) )),
% 0.19/0.45 inference(cnf_transformation,[],[f41])).
% 0.19/0.45 thf(f41,plain,(
% 0.19/0.45 ! [X0 : $i > $o] : ((mvalid @ (mimpl @ (mbox @ rel @ X0) @ (mbox @ rel @ (mbox @ rel @ X0)))) = $true)),
% 0.19/0.45 inference(fool_elimination,[],[f40])).
% 0.19/0.45 thf(f40,plain,(
% 0.19/0.45 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X0) @ (mbox @ rel @ (mbox @ rel @ X0))))),
% 0.19/0.45 inference(rectify,[],[f26])).
% 0.19/0.45 thf(f26,axiom,(
% 0.19/0.45 ! [X8 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X8) @ (mbox @ rel @ (mbox @ rel @ X8))))),
% 0.19/0.45 file('/export/starexec/sandbox2/tmp/tmp.zKHNJtcSjB/Vampire---4.8_29318',trans_axiom)).
% 0.19/0.45 thf(f176,plain,(
% 0.19/0.45 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (((rel @ X1 @ (sK6 @ X1 @ X0)) = $true) | ((X0 @ X3) = $true) | ($false = (rel @ X1 @ X2)) | ($false = (rel @ X2 @ X3))) )),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f174])).
% 0.19/0.45 thf(f303,plain,(
% 0.19/0.45 ~spl0_5),
% 0.19/0.45 inference(avatar_contradiction_clause,[],[f302])).
% 0.19/0.45 thf(f302,plain,(
% 0.19/0.45 $false | ~spl0_5),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f301])).
% 0.19/0.45 thf(f301,plain,(
% 0.19/0.45 ($false = $true) | ~spl0_5),
% 0.19/0.45 inference(forward_demodulation,[],[f292,f160])).
% 0.19/0.45 thf(f160,plain,(
% 0.19/0.45 ($false = (s @ sK5))),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f159])).
% 0.19/0.45 thf(f159,plain,(
% 0.19/0.45 (((rel @ sK4 @ sK5) => (s @ sK5)) = $false)),
% 0.19/0.45 inference(beta_eta_normalization,[],[f158])).
% 0.19/0.45 thf(f158,plain,(
% 0.19/0.45 (((^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0))) @ sK5) = $false)),
% 0.19/0.45 inference(sigma_clausification,[],[f156])).
% 0.19/0.45 thf(f156,plain,(
% 0.19/0.45 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))))),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f154])).
% 0.19/0.45 thf(f292,plain,(
% 0.19/0.45 ($true = (s @ sK5)) | ~spl0_5),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f290])).
% 0.19/0.45 thf(f290,plain,(
% 0.19/0.45 ($true = (s @ sK5)) | ($false = $true) | ~spl0_5),
% 0.19/0.45 inference(superposition,[],[f161,f259])).
% 0.19/0.45 thf(f259,plain,(
% 0.19/0.45 ( ! [X0 : $i] : (((rel @ sK4 @ X0) = $false) | ((s @ X0) = $true)) ) | ~spl0_5),
% 0.19/0.45 inference(avatar_component_clause,[],[f258])).
% 0.19/0.45 thf(f258,plain,(
% 0.19/0.45 spl0_5 <=> ! [X0] : (((s @ X0) = $true) | ((rel @ sK4 @ X0) = $false))),
% 0.19/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.19/0.45 thf(f161,plain,(
% 0.19/0.45 ((rel @ sK4 @ sK5) = $true)),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f159])).
% 0.19/0.45 thf(f267,plain,(
% 0.19/0.45 spl0_5 | spl0_6),
% 0.19/0.45 inference(avatar_split_clause,[],[f250,f261,f258])).
% 0.19/0.45 thf(f250,plain,(
% 0.19/0.45 ( ! [X0 : $i] : (((s @ X0) = $true) | ($true = (a @ sK4)) | ((rel @ sK4 @ X0) = $false)) )),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f247])).
% 0.19/0.45 thf(f247,plain,(
% 0.19/0.45 ( ! [X0 : $i] : (((s @ X0) = $true) | ($true = (a @ sK4)) | ($false = $true) | ((rel @ sK4 @ X0) = $false)) )),
% 0.19/0.45 inference(superposition,[],[f155,f151])).
% 0.19/0.45 thf(f151,plain,(
% 0.19/0.45 ( ! [X2 : $i,X1 : $i] : (($false = (rel @ sK3 @ X1)) | ($false = (rel @ X1 @ X2)) | ($true = (a @ X1)) | ((s @ X2) = $true)) )),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f150])).
% 0.19/0.45 thf(f150,plain,(
% 0.19/0.45 ( ! [X2 : $i,X1 : $i] : (($false = (rel @ sK3 @ X1)) | ($true = (a @ X1)) | (((rel @ X1 @ X2) => (s @ X2)) = $true)) )),
% 0.19/0.45 inference(beta_eta_normalization,[],[f149])).
% 0.19/0.45 thf(f149,plain,(
% 0.19/0.45 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0))) @ X2)) | ($true = (a @ X1)) | ($false = (rel @ sK3 @ X1))) )),
% 0.19/0.45 inference(pi_clausification,[],[f148])).
% 0.19/0.45 thf(f148,plain,(
% 0.19/0.45 ( ! [X1 : $i] : (($true = (a @ X1)) | ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0)))) = $true) | ($false = (rel @ sK3 @ X1))) )),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f147])).
% 0.19/0.45 thf(f147,plain,(
% 0.19/0.45 ( ! [X1 : $i] : ((((a @ X1) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0))))) = $true) | ($false = (rel @ sK3 @ X1))) )),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f146])).
% 0.19/0.45 thf(f146,plain,(
% 0.19/0.45 ( ! [X1 : $i] : ((((rel @ sK3 @ X1) => ((a @ X1) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0)))))) = $true)) )),
% 0.19/0.45 inference(beta_eta_normalization,[],[f145])).
% 0.19/0.45 thf(f145,plain,(
% 0.19/0.45 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))) @ X1))) )),
% 0.19/0.45 inference(pi_clausification,[],[f144])).
% 0.19/0.45 thf(f144,plain,(
% 0.19/0.45 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))))))) = $true)),
% 0.19/0.45 inference(not_proxy_clausification,[],[f143])).
% 0.19/0.45 thf(f143,plain,(
% 0.19/0.45 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))))),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f140])).
% 0.19/0.45 % SZS output end Proof for Vampire---4
% 0.19/0.45 % (29453)------------------------------
% 0.19/0.45 % (29453)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45 % (29453)Termination reason: Refutation
% 0.19/0.45
% 0.19/0.45 % (29453)Memory used [KB]: 6012
% 0.19/0.45 % (29453)Time elapsed: 0.031 s
% 0.19/0.45 % (29453)Instructions burned: 70 (million)
% 0.19/0.45 % (29453)------------------------------
% 0.19/0.45 % (29453)------------------------------
% 0.19/0.45 % (29426)Success in time 0.096 s
% 0.19/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------