TSTP Solution File: SEV245^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV245^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:41:53 EDT 2024
% Result : Theorem 2.21s 0.69s
% Output : Refutation 2.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEV245^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 11:53:19 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.7JGhr8aEiG/Vampire---4.8_31101
% 0.15/0.38 % (31357)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.15/0.38 % (31357)Instruction limit reached!
% 0.15/0.38 % (31357)------------------------------
% 0.15/0.38 % (31357)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (31357)Termination reason: Unknown
% 0.15/0.38 % (31357)Termination phase: Preprocessing 3
% 0.15/0.38
% 0.15/0.38 % (31357)Memory used [KB]: 895
% 0.15/0.38 % (31357)Time elapsed: 0.003 s
% 0.15/0.38 % (31357)Instructions burned: 2 (million)
% 0.15/0.38 % (31357)------------------------------
% 0.15/0.38 % (31357)------------------------------
% 0.15/0.38 % (31354)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.15/0.38 % (31355)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 (3000ds/4Mi)
% 0.15/0.38 % (31356)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 (3000ds/27Mi)
% 0.15/0.38 % (31358)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 (3000ds/2Mi)
% 0.15/0.38 % (31359)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 (3000ds/275Mi)
% 0.15/0.38 % (31360)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.15/0.38 % (31361)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 (3000ds/3Mi)
% 0.15/0.38 % (31358)Instruction limit reached!
% 0.15/0.38 % (31358)------------------------------
% 0.15/0.38 % (31358)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (31358)Termination reason: Unknown
% 0.15/0.38 % (31358)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (31358)Memory used [KB]: 895
% 0.15/0.38 % (31358)Time elapsed: 0.003 s
% 0.15/0.38 % (31358)Instructions burned: 2 (million)
% 0.15/0.38 % (31358)------------------------------
% 0.15/0.38 % (31358)------------------------------
% 0.15/0.38 % (31361)Instruction limit reached!
% 0.15/0.38 % (31361)------------------------------
% 0.15/0.38 % (31361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (31361)Termination reason: Unknown
% 0.15/0.38 % (31361)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (31361)Memory used [KB]: 5500
% 0.15/0.38 % (31361)Time elapsed: 0.004 s
% 0.15/0.38 % (31361)Instructions burned: 3 (million)
% 0.15/0.38 % (31361)------------------------------
% 0.15/0.38 % (31361)------------------------------
% 0.15/0.38 % (31355)Instruction limit reached!
% 0.15/0.38 % (31355)------------------------------
% 0.15/0.38 % (31355)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (31355)Termination reason: Unknown
% 0.15/0.38 % (31355)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (31355)Memory used [KB]: 5500
% 0.15/0.38 % (31355)Time elapsed: 0.006 s
% 0.15/0.38 % (31355)Instructions burned: 5 (million)
% 0.15/0.38 % (31355)------------------------------
% 0.15/0.38 % (31355)------------------------------
% 0.15/0.39 % (31360)Instruction limit reached!
% 0.15/0.39 % (31360)------------------------------
% 0.15/0.39 % (31360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (31360)Termination reason: Unknown
% 0.15/0.39 % (31360)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (31360)Memory used [KB]: 5628
% 0.15/0.39 % (31360)Time elapsed: 0.014 s
% 0.15/0.39 % (31360)Instructions burned: 18 (million)
% 0.15/0.39 % (31360)------------------------------
% 0.15/0.39 % (31360)------------------------------
% 0.15/0.39 % (31362)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)
% 0.15/0.40 % (31363)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)
% 0.15/0.40 % (31364)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)
% 0.15/0.40 % (31365)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)
% 0.15/0.40 % (31356)Instruction limit reached!
% 0.15/0.40 % (31356)------------------------------
% 0.15/0.40 % (31356)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (31356)Termination reason: Unknown
% 0.15/0.40 % (31356)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (31356)Memory used [KB]: 5628
% 0.15/0.40 % (31356)Time elapsed: 0.021 s
% 0.15/0.40 % (31356)Instructions burned: 28 (million)
% 0.15/0.40 % (31356)------------------------------
% 0.15/0.40 % (31356)------------------------------
% 0.15/0.40 % (31364)Instruction limit reached!
% 0.15/0.40 % (31364)------------------------------
% 0.15/0.40 % (31364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (31364)Termination reason: Unknown
% 0.15/0.40 % (31364)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (31364)Memory used [KB]: 5500
% 0.15/0.40 % (31364)Time elapsed: 0.004 s
% 0.15/0.40 % (31364)Instructions burned: 3 (million)
% 0.15/0.40 % (31364)------------------------------
% 0.15/0.40 % (31364)------------------------------
% 0.15/0.41 % (31363)Instruction limit reached!
% 0.15/0.41 % (31363)------------------------------
% 0.15/0.41 % (31363)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (31363)Termination reason: Unknown
% 0.15/0.41 % (31363)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (31363)Memory used [KB]: 5628
% 0.15/0.41 % (31363)Time elapsed: 0.012 s
% 0.15/0.41 % (31363)Instructions burned: 15 (million)
% 0.15/0.41 % (31363)------------------------------
% 0.15/0.41 % (31363)------------------------------
% 0.15/0.41 % (31366)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)
% 0.15/0.41 % (31362)Instruction limit reached!
% 0.15/0.41 % (31362)------------------------------
% 0.15/0.41 % (31362)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (31362)Termination reason: Unknown
% 0.15/0.41 % (31362)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (31362)Memory used [KB]: 6140
% 0.15/0.41 % (31362)Time elapsed: 0.020 s
% 0.15/0.41 % (31362)Instructions burned: 38 (million)
% 0.15/0.41 % (31362)------------------------------
% 0.15/0.41 % (31362)------------------------------
% 0.15/0.41 % (31366)Instruction limit reached!
% 0.15/0.41 % (31366)------------------------------
% 0.15/0.41 % (31366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (31366)Termination reason: Unknown
% 0.15/0.41 % (31366)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (31366)Memory used [KB]: 1023
% 0.15/0.41 % (31366)Time elapsed: 0.007 s
% 0.15/0.41 % (31366)Instructions burned: 7 (million)
% 0.15/0.41 % (31366)------------------------------
% 0.15/0.41 % (31366)------------------------------
% 0.22/0.41 % (31367)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)
% 0.22/0.41 % (31368)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.42 % (31368)Instruction limit reached!
% 0.22/0.42 % (31368)------------------------------
% 0.22/0.42 % (31368)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (31368)Termination reason: Unknown
% 0.22/0.42 % (31368)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (31368)Memory used [KB]: 5500
% 0.22/0.42 % (31368)Time elapsed: 0.004 s
% 0.22/0.42 % (31368)Instructions burned: 4 (million)
% 0.22/0.42 % (31368)------------------------------
% 0.22/0.42 % (31368)------------------------------
% 0.22/0.42 % (31369)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.42 % (31369)Instruction limit reached!
% 0.22/0.42 % (31369)------------------------------
% 0.22/0.42 % (31369)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (31369)Termination reason: Unknown
% 0.22/0.42 % (31369)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (31369)Memory used [KB]: 1023
% 0.22/0.42 % (31369)Time elapsed: 0.004 s
% 0.22/0.42 % (31369)Instructions burned: 3 (million)
% 0.22/0.42 % (31369)------------------------------
% 0.22/0.42 % (31369)------------------------------
% 0.22/0.43 % (31370)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 % (31367)Instruction limit reached!
% 0.22/0.43 % (31367)------------------------------
% 0.22/0.43 % (31367)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (31367)Termination reason: Unknown
% 0.22/0.43 % (31367)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (31367)Memory used [KB]: 5756
% 0.22/0.43 % (31367)Time elapsed: 0.014 s
% 0.22/0.43 % (31367)Instructions burned: 17 (million)
% 0.22/0.43 % (31367)------------------------------
% 0.22/0.43 % (31367)------------------------------
% 0.22/0.43 % (31371)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.43 % (31370)Refutation not found, incomplete strategy
% 0.22/0.43 % (31370)------------------------------
% 0.22/0.43 % (31370)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (31370)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43
% 0.22/0.43 % (31370)Memory used [KB]: 5500
% 0.22/0.43 % (31370)Time elapsed: 0.004 s
% 0.22/0.43 % (31370)Instructions burned: 3 (million)
% 0.22/0.43 % (31370)------------------------------
% 0.22/0.43 % (31370)------------------------------
% 0.22/0.43 % (31371)Instruction limit reached!
% 0.22/0.43 % (31371)------------------------------
% 0.22/0.43 % (31371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (31371)Termination reason: Unknown
% 0.22/0.43 % (31371)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (31371)Memory used [KB]: 5500
% 0.22/0.43 % (31371)Time elapsed: 0.004 s
% 0.22/0.43 % (31371)Instructions burned: 3 (million)
% 0.22/0.43 % (31371)------------------------------
% 0.22/0.43 % (31371)------------------------------
% 0.22/0.43 % (31372)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.22/0.43 % (31372)Instruction limit reached!
% 0.22/0.43 % (31372)------------------------------
% 0.22/0.43 % (31372)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (31372)Termination reason: Unknown
% 0.22/0.43 % (31372)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (31372)Memory used [KB]: 5500
% 0.22/0.43 % (31372)Time elapsed: 0.005 s
% 0.22/0.43 % (31372)Instructions burned: 4 (million)
% 0.22/0.43 % (31372)------------------------------
% 0.22/0.43 % (31372)------------------------------
% 0.22/0.44 % (31373)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 % (31374)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 % (31375)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.44 % (31376)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 % (31375)Instruction limit reached!
% 0.22/0.45 % (31375)------------------------------
% 0.22/0.45 % (31375)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (31375)Termination reason: Unknown
% 0.22/0.45 % (31375)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (31375)Memory used [KB]: 5500
% 0.22/0.45 % (31375)Time elapsed: 0.006 s
% 0.22/0.45 % (31375)Instructions burned: 6 (million)
% 0.22/0.45 % (31375)------------------------------
% 0.22/0.45 % (31375)------------------------------
% 0.22/0.45 % (31377)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 % (31373)Instruction limit reached!
% 0.22/0.45 % (31373)------------------------------
% 0.22/0.45 % (31373)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (31373)Termination reason: Unknown
% 0.22/0.45 % (31373)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (31373)Memory used [KB]: 5628
% 0.22/0.45 % (31373)Time elapsed: 0.016 s
% 0.22/0.45 % (31373)Instructions burned: 19 (million)
% 0.22/0.45 % (31373)------------------------------
% 0.22/0.45 % (31373)------------------------------
% 0.22/0.46 % (31378)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.22/0.47 % (31377)Instruction limit reached!
% 0.22/0.47 % (31377)------------------------------
% 0.22/0.47 % (31377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (31377)Termination reason: Unknown
% 0.22/0.47 % (31377)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (31377)Memory used [KB]: 5628
% 0.22/0.47 % (31377)Time elapsed: 0.020 s
% 0.22/0.47 % (31377)Instructions burned: 21 (million)
% 0.22/0.47 % (31377)------------------------------
% 0.22/0.47 % (31377)------------------------------
% 0.22/0.47 % (31378)Instruction limit reached!
% 0.22/0.47 % (31378)------------------------------
% 0.22/0.47 % (31378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (31378)Termination reason: Unknown
% 0.22/0.47 % (31378)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (31378)Memory used [KB]: 5500
% 0.22/0.47 % (31378)Time elapsed: 0.007 s
% 0.22/0.47 % (31378)Instructions burned: 5 (million)
% 0.22/0.47 % (31378)------------------------------
% 0.22/0.47 % (31378)------------------------------
% 0.22/0.47 % (31381)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)
% 0.22/0.48 % (31381)Instruction limit reached!
% 0.22/0.48 % (31381)------------------------------
% 0.22/0.48 % (31381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (31381)Termination reason: Unknown
% 0.22/0.48 % (31381)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (31381)Memory used [KB]: 5500
% 0.22/0.48 % (31381)Time elapsed: 0.008 s
% 0.22/0.48 % (31381)Instructions burned: 6 (million)
% 0.22/0.48 % (31381)------------------------------
% 0.22/0.48 % (31381)------------------------------
% 0.22/0.49 % (31354)Instruction limit reached!
% 0.22/0.49 % (31354)------------------------------
% 0.22/0.49 % (31354)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (31354)Termination reason: Unknown
% 0.22/0.49 % (31354)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (31354)Memory used [KB]: 6780
% 0.22/0.49 % (31354)Time elapsed: 0.110 s
% 0.22/0.49 % (31354)Instructions burned: 183 (million)
% 0.22/0.49 % (31354)------------------------------
% 0.22/0.49 % (31354)------------------------------
% 0.22/0.49 % (31391)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)
% 0.22/0.49 % (31392)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)
% 0.22/0.50 % (31393)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 (2998ds/19Mi)
% 0.22/0.51 % (31399)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 (2998ds/879Mi)
% 0.22/0.51 % (31393)Instruction limit reached!
% 0.22/0.51 % (31393)------------------------------
% 0.22/0.51 % (31393)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (31393)Termination reason: Unknown
% 0.22/0.51 % (31393)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (31393)Memory used [KB]: 5628
% 0.22/0.51 % (31393)Time elapsed: 0.011 s
% 0.22/0.51 % (31393)Instructions burned: 21 (million)
% 0.22/0.51 % (31393)------------------------------
% 0.22/0.51 % (31393)------------------------------
% 0.22/0.52 % (31402)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2998ds/17Mi)
% 0.22/0.52 % (31402)Instruction limit reached!
% 0.22/0.52 % (31402)------------------------------
% 0.22/0.52 % (31402)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (31402)Termination reason: Unknown
% 0.22/0.52 % (31402)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (31402)Memory used [KB]: 5628
% 0.22/0.52 % (31402)Time elapsed: 0.008 s
% 0.22/0.52 % (31402)Instructions burned: 17 (million)
% 0.22/0.52 % (31402)------------------------------
% 0.22/0.52 % (31402)------------------------------
% 0.22/0.53 % (31403)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.22/0.53 % (31403)Instruction limit reached!
% 0.22/0.53 % (31403)------------------------------
% 0.22/0.53 % (31403)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (31403)Termination reason: Unknown
% 0.22/0.53 % (31403)Termination phase: Saturation
% 0.22/0.53
% 0.22/0.53 % (31403)Memory used [KB]: 1023
% 0.22/0.53 % (31403)Time elapsed: 0.002 s
% 0.22/0.53 % (31403)Instructions burned: 3 (million)
% 0.22/0.53 % (31403)------------------------------
% 0.22/0.53 % (31403)------------------------------
% 0.22/0.53 % (31359)Instruction limit reached!
% 0.22/0.53 % (31359)------------------------------
% 0.22/0.53 % (31359)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (31359)Termination reason: Unknown
% 0.22/0.53 % (31359)Termination phase: Saturation
% 0.22/0.53
% 0.22/0.53 % (31359)Memory used [KB]: 6140
% 0.22/0.53 % (31359)Time elapsed: 0.156 s
% 0.22/0.53 % (31359)Instructions burned: 276 (million)
% 0.22/0.53 % (31359)------------------------------
% 0.22/0.53 % (31359)------------------------------
% 0.22/0.54 % (31404)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.22/0.54 % (31405)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.22/0.55 % (31404)Instruction limit reached!
% 0.22/0.55 % (31404)------------------------------
% 0.22/0.55 % (31404)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (31404)Termination reason: Unknown
% 0.22/0.55 % (31404)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (31404)Memory used [KB]: 5628
% 0.22/0.55 % (31404)Time elapsed: 0.012 s
% 0.22/0.55 % (31404)Instructions burned: 30 (million)
% 0.22/0.55 % (31404)------------------------------
% 0.22/0.55 % (31404)------------------------------
% 0.22/0.56 % (31406)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)
% 0.22/0.59 % (31405)Instruction limit reached!
% 0.22/0.59 % (31405)------------------------------
% 0.22/0.59 % (31405)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.59 % (31405)Termination reason: Unknown
% 0.22/0.59 % (31405)Termination phase: Saturation
% 0.22/0.59
% 0.22/0.59 % (31405)Memory used [KB]: 6012
% 0.22/0.59 % (31405)Time elapsed: 0.046 s
% 0.22/0.59 % (31405)Instructions burned: 127 (million)
% 0.22/0.59 % (31405)------------------------------
% 0.22/0.59 % (31405)------------------------------
% 1.93/0.59 % (31406)Instruction limit reached!
% 1.93/0.59 % (31406)------------------------------
% 1.93/0.59 % (31406)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.59 % (31406)Termination reason: Unknown
% 1.93/0.59 % (31406)Termination phase: Saturation
% 1.93/0.59
% 1.93/0.59 % (31406)Memory used [KB]: 5756
% 1.93/0.59 % (31406)Time elapsed: 0.036 s
% 1.93/0.59 % (31406)Instructions burned: 100 (million)
% 1.93/0.59 % (31406)------------------------------
% 1.93/0.59 % (31406)------------------------------
% 1.93/0.60 % (31415)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 (2997ds/3Mi)
% 1.93/0.60 % (31415)Instruction limit reached!
% 1.93/0.60 % (31415)------------------------------
% 1.93/0.60 % (31415)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.60 % (31415)Termination reason: Unknown
% 1.93/0.60 % (31415)Termination phase: Saturation
% 1.93/0.60
% 1.93/0.60 % (31415)Memory used [KB]: 5500
% 1.93/0.60 % (31415)Time elapsed: 0.003 s
% 1.93/0.60 % (31415)Instructions burned: 5 (million)
% 1.93/0.60 % (31415)------------------------------
% 1.93/0.60 % (31415)------------------------------
% 1.93/0.60 % (31419)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 (2997ds/20Mi)
% 1.93/0.61 % (31424)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 (2997ds/86Mi)
% 1.93/0.61 % (31419)Instruction limit reached!
% 1.93/0.61 % (31419)------------------------------
% 1.93/0.61 % (31419)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.61 % (31419)Termination reason: Unknown
% 1.93/0.61 % (31419)Termination phase: Saturation
% 1.93/0.61
% 1.93/0.61 % (31419)Memory used [KB]: 5628
% 1.93/0.61 % (31419)Time elapsed: 0.009 s
% 1.93/0.61 % (31419)Instructions burned: 21 (million)
% 1.93/0.61 % (31419)------------------------------
% 1.93/0.61 % (31419)------------------------------
% 2.11/0.62 % (31430)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 (2997ds/107Mi)
% 2.11/0.62 % (31391)Instruction limit reached!
% 2.11/0.62 % (31391)------------------------------
% 2.11/0.62 % (31391)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.62 % (31391)Termination reason: Unknown
% 2.11/0.62 % (31391)Termination phase: Saturation
% 2.11/0.62
% 2.11/0.62 % (31391)Memory used [KB]: 6396
% 2.11/0.62 % (31391)Time elapsed: 0.136 s
% 2.11/0.62 % (31391)Instructions burned: 378 (million)
% 2.11/0.62 % (31391)------------------------------
% 2.11/0.62 % (31391)------------------------------
% 2.21/0.63 % (31437)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 (2997ds/39Mi)
% 2.21/0.64 % (31424)Instruction limit reached!
% 2.21/0.64 % (31424)------------------------------
% 2.21/0.64 % (31424)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.21/0.64 % (31424)Termination reason: Unknown
% 2.21/0.64 % (31424)Termination phase: Saturation
% 2.21/0.64
% 2.21/0.64 % (31424)Memory used [KB]: 6140
% 2.21/0.64 % (31424)Time elapsed: 0.053 s
% 2.21/0.64 % (31424)Instructions burned: 86 (million)
% 2.21/0.64 % (31424)------------------------------
% 2.21/0.64 % (31424)------------------------------
% 2.21/0.64 % (31437)Instruction limit reached!
% 2.21/0.64 % (31437)------------------------------
% 2.21/0.64 % (31437)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.21/0.64 % (31437)Termination reason: Unknown
% 2.21/0.64 % (31437)Termination phase: Saturation
% 2.21/0.64
% 2.21/0.64 % (31437)Memory used [KB]: 5884
% 2.21/0.64 % (31437)Time elapsed: 0.015 s
% 2.21/0.64 % (31437)Instructions burned: 39 (million)
% 2.21/0.64 % (31437)------------------------------
% 2.21/0.64 % (31437)------------------------------
% 2.21/0.65 % (31450)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 (2997ds/448Mi)
% 2.21/0.65 % (31452)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 (2997ds/46Mi)
% 2.21/0.66 % (31430)Instruction limit reached!
% 2.21/0.66 % (31430)------------------------------
% 2.21/0.66 % (31430)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.21/0.66 % (31430)Termination reason: Unknown
% 2.21/0.66 % (31430)Termination phase: Saturation
% 2.21/0.66
% 2.21/0.66 % (31430)Memory used [KB]: 5756
% 2.21/0.66 % (31430)Time elapsed: 0.060 s
% 2.21/0.66 % (31430)Instructions burned: 108 (million)
% 2.21/0.66 % (31430)------------------------------
% 2.21/0.66 % (31430)------------------------------
% 2.21/0.66 % (31456)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 (2997ds/98Mi)
% 2.21/0.67 % (31452)Instruction limit reached!
% 2.21/0.67 % (31452)------------------------------
% 2.21/0.67 % (31452)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.21/0.67 % (31452)Termination reason: Unknown
% 2.21/0.67 % (31452)Termination phase: Saturation
% 2.21/0.67
% 2.21/0.67 % (31452)Memory used [KB]: 5756
% 2.21/0.67 % (31452)Time elapsed: 0.019 s
% 2.21/0.67 % (31452)Instructions burned: 46 (million)
% 2.21/0.67 % (31452)------------------------------
% 2.21/0.67 % (31452)------------------------------
% 2.21/0.68 % (31465)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 (2996ds/507Mi)
% 2.21/0.69 % (31456)First to succeed.
% 2.21/0.69 % (31456)Refutation found. Thanks to Tanya!
% 2.21/0.69 % SZS status Theorem for Vampire---4
% 2.21/0.69 % SZS output start Proof for Vampire---4
% 2.21/0.69 thf(func_def_14, type, ph0: !>[X0: $tType]:(X0)).
% 2.21/0.69 thf(func_def_15, type, sK1: ($i > $o) > $i > $o).
% 2.21/0.69 thf(func_def_17, type, sK3: $i > $o).
% 2.21/0.69 thf(func_def_18, type, sK4: ($i > $o) > ($i > $o) > $i).
% 2.21/0.69 thf(f335,plain,(
% 2.21/0.69 $false),
% 2.21/0.69 inference(trivial_inequality_removal,[],[f334])).
% 2.21/0.69 thf(f334,plain,(
% 2.21/0.69 ($false = $true)),
% 2.21/0.69 inference(backward_demodulation,[],[f300,f333])).
% 2.21/0.69 thf(f333,plain,(
% 2.21/0.69 ((sK3 @ sK5) = $false)),
% 2.21/0.69 inference(trivial_inequality_removal,[],[f326])).
% 2.21/0.69 thf(f326,plain,(
% 2.21/0.69 ($false = $true) | ((sK3 @ sK5) = $false)),
% 2.21/0.69 inference(superposition,[],[f303,f24])).
% 2.21/0.69 thf(f24,plain,(
% 2.21/0.69 ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (sK1 @ sK3 @ Y0)))) = $true)),
% 2.21/0.69 inference(binary_proxy_clausification,[],[f22])).
% 2.21/0.69 thf(f22,plain,(
% 2.21/0.69 (((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (sK1 @ sK3 @ Y0)))) & (sK3 @ sK2)) = $true)),
% 2.21/0.69 inference(beta_eta_normalization,[],[f21])).
% 2.21/0.69 thf(f21,plain,(
% 2.21/0.69 (((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))) & (Y0 @ sK2))) @ sK3) = $true)),
% 2.21/0.69 inference(sigma_clausification,[],[f20])).
% 2.21/0.69 thf(f20,plain,(
% 2.21/0.69 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))) & (Y0 @ sK2)))) = $true)),
% 2.21/0.69 inference(binary_proxy_clausification,[],[f18])).
% 2.21/0.69 thf(f18,plain,(
% 2.21/0.69 (((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))) & (Y0 @ sK2)))) => (sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK2)) = $false)),
% 2.21/0.69 inference(beta_eta_normalization,[],[f17])).
% 2.21/0.69 thf(f17,plain,(
% 2.21/0.69 (((^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0)))) => (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0))) @ sK2) = $false)),
% 2.21/0.69 inference(sigma_clausification,[],[f10])).
% 2.21/0.69 thf(f10,plain,(
% 2.21/0.69 ($false = (!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0)))) => (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0)))))),
% 2.21/0.69 inference(binary_proxy_clausification,[],[f9])).
% 2.21/0.69 thf(f9,plain,(
% 2.21/0.69 ($false = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y0 @ Y2) => (sK1 @ Y1 @ Y2))))))))) => (!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0)))) => (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0))))))),
% 2.21/0.69 inference(beta_eta_normalization,[],[f8])).
% 2.21/0.69 thf(f8,plain,(
% 2.21/0.69 ($false = ((^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))) => (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1)))))) @ sK1))),
% 2.21/0.69 inference(sigma_clausification,[],[f7])).
% 2.21/0.69 thf(f7,plain,(
% 2.21/0.69 ((!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))) => (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1))))))) = $false)),
% 2.21/0.69 inference(not_proxy_clausification,[],[f6])).
% 2.21/0.69 thf(f6,plain,(
% 2.21/0.69 ((~ (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))) => (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1)))))))) = $true)),
% 2.21/0.69 inference(cnf_transformation,[],[f5])).
% 2.21/0.69 thf(f5,plain,(
% 2.21/0.69 ((~ (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))) => (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1)))))))) = $true)),
% 2.21/0.69 inference(fool_elimination,[],[f4])).
% 2.21/0.69 thf(f4,plain,(
% 2.21/0.69 ~! [X0 : ($i > $o) > $i > $o] : (! [X1 : $i > $o,X2 : $i > $o] : (! [X3] : ((X2 @ X3) => (X1 @ X3)) => ! [X4] : ((X0 @ X2 @ X4) => (X0 @ X1 @ X4))) => ! [X5] : (? [X6 : $i > $o] : ((X6 @ X5) & ! [X7] : ((X6 @ X7) => (X0 @ X6 @ X7))) => (X0 @ (^[X8 : $i] : (? [X9 : $i > $o] : ((X9 @ X8) & ! [X10] : ((X9 @ X10) => (X0 @ X9 @ X10))))) @ X5)))),
% 2.21/0.69 inference(rectify,[],[f2])).
% 2.21/0.69 thf(f2,negated_conjecture,(
% 2.21/0.69 ~! [X0 : ($i > $o) > $i > $o] : (! [X2 : $i > $o,X1 : $i > $o] : (! [X3] : ((X1 @ X3) => (X2 @ X3)) => ! [X3] : ((X0 @ X1 @ X3) => (X0 @ X2 @ X3))) => ! [X1] : (? [X4 : $i > $o] : ((X4 @ X1) & ! [X3] : ((X4 @ X3) => (X0 @ X4 @ X3))) => (X0 @ (^[X3 : $i] : (? [X4 : $i > $o] : ((X4 @ X3) & ! [X5] : ((X4 @ X5) => (X0 @ X4 @ X5))))) @ X1)))),
% 2.21/0.69 inference(negated_conjecture,[],[f1])).
% 2.21/0.69 thf(f1,conjecture,(
% 2.21/0.69 ! [X0 : ($i > $o) > $i > $o] : (! [X2 : $i > $o,X1 : $i > $o] : (! [X3] : ((X1 @ X3) => (X2 @ X3)) => ! [X3] : ((X0 @ X1 @ X3) => (X0 @ X2 @ X3))) => ! [X1] : (? [X4 : $i > $o] : ((X4 @ X1) & ! [X3] : ((X4 @ X3) => (X0 @ X4 @ X3))) => (X0 @ (^[X3 : $i] : (? [X4 : $i > $o] : ((X4 @ X3) & ! [X5] : ((X4 @ X5) => (X0 @ X4 @ X5))))) @ X1)))),
% 2.21/0.69 file('/export/starexec/sandbox/tmp/tmp.7JGhr8aEiG/Vampire---4.8_31101',cTHM2A_TWO_pme)).
% 2.21/0.69 thf(f303,plain,(
% 2.21/0.69 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (sK1 @ X1 @ Y0)))) = $false) | ((X1 @ sK5) = $false)) )),
% 2.21/0.69 inference(binary_proxy_clausification,[],[f302])).
% 2.21/0.69 thf(f302,plain,(
% 2.21/0.69 ( ! [X1 : $i > $o] : (($false = ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (sK1 @ X1 @ Y0)))) & (X1 @ sK5)))) )),
% 2.21/0.69 inference(beta_eta_normalization,[],[f301])).
% 2.21/0.69 thf(f301,plain,(
% 2.21/0.69 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))) & (Y0 @ sK5))) @ X1) = $false)) )),
% 2.21/0.69 inference(pi_clausification,[],[f299])).
% 2.21/0.69 thf(f299,plain,(
% 2.21/0.69 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))) & (Y0 @ sK5)))) = $false)),
% 2.21/0.69 inference(binary_proxy_clausification,[],[f298])).
% 2.21/0.69 thf(f298,plain,(
% 2.21/0.69 ($false = ((sK3 @ sK5) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))) & (Y0 @ sK5))))))),
% 2.21/0.69 inference(beta_eta_normalization,[],[f297])).
% 2.21/0.69 thf(f297,plain,(
% 2.21/0.69 ($false = ((^[Y0 : $i]: ((sK3 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0)))))) @ sK5))),
% 2.21/0.69 inference(sigma_clausification,[],[f294])).
% 2.21/0.69 thf(f294,plain,(
% 2.21/0.69 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0))))))))),
% 2.21/0.69 inference(trivial_inequality_removal,[],[f293])).
% 2.21/0.69 thf(f293,plain,(
% 2.21/0.69 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0)))))))) | ($false = $true)),
% 2.21/0.69 inference(forward_demodulation,[],[f289,f23])).
% 2.21/0.69 thf(f23,plain,(
% 2.21/0.69 ((sK3 @ sK2) = $true)),
% 2.21/0.69 inference(binary_proxy_clausification,[],[f22])).
% 2.21/0.69 thf(f289,plain,(
% 2.21/0.69 ((sK3 @ sK2) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0))))))))),
% 2.21/0.69 inference(beta_eta_normalization,[],[f288])).
% 2.21/0.69 thf(f288,plain,(
% 2.21/0.69 ((sK3 @ sK2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => ((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0)))) = $false)),
% 2.21/0.69 inference(trivial_inequality_removal,[],[f266])).
% 2.21/0.69 thf(f266,plain,(
% 2.21/0.69 ((sK3 @ sK2) = $false) | ($false = $true) | ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => ((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0)))) = $false)),
% 2.21/0.69 inference(superposition,[],[f49,f19])).
% 2.21/0.69 thf(f19,plain,(
% 2.21/0.69 ($false = (sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK2))),
% 2.21/0.69 inference(binary_proxy_clausification,[],[f18])).
% 2.21/0.69 thf(f49,plain,(
% 2.21/0.69 ( ! [X0 : $i,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (X1 @ Y0)))) = $false) | ((sK1 @ X1 @ X0) = $true) | ($false = (sK3 @ X0))) )),
% 2.21/0.69 inference(trivial_inequality_removal,[],[f38])).
% 2.21/0.69 thf(f38,plain,(
% 2.21/0.69 ( ! [X0 : $i,X1 : $i > $o] : (((sK1 @ X1 @ X0) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (X1 @ Y0)))) = $false) | ($false = (sK3 @ X0)) | ($false = $true)) )),
% 2.21/0.69 inference(superposition,[],[f27,f30])).
% 2.21/0.69 thf(f30,plain,(
% 2.21/0.69 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((sK1 @ X1 @ X3) = $false) | ((sK1 @ X2 @ X3) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0)))) = $false)) )),
% 2.21/0.69 inference(binary_proxy_clausification,[],[f29])).
% 2.21/0.69 thf(f29,plain,(
% 2.21/0.69 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : ((((sK1 @ X1 @ X3) => (sK1 @ X2 @ X3)) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0)))) = $false)) )),
% 2.21/0.69 inference(beta_eta_normalization,[],[f28])).
% 2.21/0.69 thf(f28,plain,(
% 2.21/0.69 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0)))) = $false) | (((^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK1 @ X2 @ Y0))) @ X3) = $true)) )),
% 2.21/0.69 inference(pi_clausification,[],[f16])).
% 2.21/0.69 thf(f16,plain,(
% 2.21/0.69 ( ! [X2 : $i > $o,X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK1 @ X2 @ Y0))))) | ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0)))) = $false)) )),
% 2.21/0.69 inference(binary_proxy_clausification,[],[f15])).
% 2.21/0.69 thf(f15,plain,(
% 2.21/0.69 ( ! [X2 : $i > $o,X1 : $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0)))) => (!! @ $i @ (^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK1 @ X2 @ Y0))))) = $true)) )),
% 2.21/0.69 inference(beta_eta_normalization,[],[f14])).
% 2.21/0.69 thf(f14,plain,(
% 2.21/0.69 ( ! [X2 : $i > $o,X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((X1 @ Y1) => (Y0 @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((sK1 @ X1 @ Y1) => (sK1 @ Y0 @ Y1)))))) @ X2) = $true)) )),
% 2.21/0.69 inference(pi_clausification,[],[f13])).
% 2.21/0.69 thf(f13,plain,(
% 2.21/0.69 ( ! [X1 : $i > $o] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((X1 @ Y1) => (Y0 @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((sK1 @ X1 @ Y1) => (sK1 @ Y0 @ Y1))))))))) )),
% 2.21/0.69 inference(beta_eta_normalization,[],[f12])).
% 2.21/0.69 thf(f12,plain,(
% 2.21/0.69 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y0 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ X1) = $true)) )),
% 2.21/0.69 inference(pi_clausification,[],[f11])).
% 2.21/0.69 thf(f11,plain,(
% 2.21/0.69 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y0 @ Y2) => (sK1 @ Y1 @ Y2))))))))) = $true)),
% 2.21/0.69 inference(binary_proxy_clausification,[],[f9])).
% 2.21/0.69 thf(f27,plain,(
% 2.21/0.69 ( ! [X1 : $i] : (((sK1 @ sK3 @ X1) = $true) | ($false = (sK3 @ X1))) )),
% 2.21/0.69 inference(binary_proxy_clausification,[],[f26])).
% 2.21/0.69 thf(f26,plain,(
% 2.21/0.69 ( ! [X1 : $i] : ((((sK3 @ X1) => (sK1 @ sK3 @ X1)) = $true)) )),
% 2.21/0.69 inference(beta_eta_normalization,[],[f25])).
% 2.21/0.69 thf(f25,plain,(
% 2.21/0.69 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((sK3 @ Y0) => (sK1 @ sK3 @ Y0))) @ X1))) )),
% 2.21/0.69 inference(pi_clausification,[],[f24])).
% 2.21/0.69 thf(f300,plain,(
% 2.21/0.69 ((sK3 @ sK5) = $true)),
% 2.21/0.69 inference(binary_proxy_clausification,[],[f298])).
% 2.21/0.69 % SZS output end Proof for Vampire---4
% 2.21/0.69 % (31456)------------------------------
% 2.21/0.69 % (31456)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.21/0.69 % (31456)Termination reason: Refutation
% 2.21/0.69
% 2.21/0.69 % (31456)Memory used [KB]: 1279
% 2.21/0.69 % (31456)Time elapsed: 0.027 s
% 2.21/0.69 % (31456)Instructions burned: 71 (million)
% 2.21/0.69 % (31456)------------------------------
% 2.21/0.69 % (31456)------------------------------
% 2.21/0.69 % (31353)Success in time 0.326 s
% 2.21/0.69 % Vampire---4.8 exiting
%------------------------------------------------------------------------------