TSTP Solution File: SEV238^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV238^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:41:51 EDT 2024
% Result : Theorem 2.29s 0.66s
% Output : Refutation 2.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SEV238^5 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % 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
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 11:56:18 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TH0_THM_NEQ_NAR problem
% 0.11/0.32 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.ucekH8qbW0/Vampire---4.8_18043
% 0.11/0.33 % (18156)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.11/0.34 % (18159)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.11/0.34 % (18153)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)
% 0.11/0.34 % (18155)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)
% 0.11/0.34 % (18156)Instruction limit reached!
% 0.11/0.34 % (18156)------------------------------
% 0.11/0.34 % (18156)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (18156)Termination reason: Unknown
% 0.11/0.34 % (18156)Termination phase: Preprocessing 3
% 0.11/0.34
% 0.11/0.34 % (18156)Memory used [KB]: 1023
% 0.11/0.34 % (18156)Time elapsed: 0.003 s
% 0.11/0.34 % (18156)Instructions burned: 3 (million)
% 0.11/0.34 % (18156)------------------------------
% 0.11/0.34 % (18156)------------------------------
% 0.11/0.34 % (18154)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)
% 0.11/0.34 % (18157)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)
% 0.11/0.34 % (18158)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)
% 0.11/0.34 % (18157)Instruction limit reached!
% 0.11/0.34 % (18157)------------------------------
% 0.11/0.34 % (18157)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (18157)Termination reason: Unknown
% 0.11/0.34 % (18157)Termination phase: shuffling
% 0.11/0.34 % (18160)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)
% 0.11/0.34
% 0.11/0.34 % (18157)Memory used [KB]: 1023
% 0.11/0.34 % (18157)Time elapsed: 0.002 s
% 0.11/0.34 % (18157)Instructions burned: 2 (million)
% 0.11/0.34 % (18157)------------------------------
% 0.11/0.34 % (18157)------------------------------
% 0.11/0.34 % (18154)Instruction limit reached!
% 0.11/0.34 % (18154)------------------------------
% 0.11/0.34 % (18154)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (18154)Termination reason: Unknown
% 0.11/0.34 % (18154)Termination phase: Preprocessing 3
% 0.11/0.34
% 0.11/0.34 % (18154)Memory used [KB]: 1023
% 0.11/0.34 % (18154)Time elapsed: 0.003 s
% 0.11/0.34 % (18154)Instructions burned: 4 (million)
% 0.11/0.34 % (18154)------------------------------
% 0.11/0.34 % (18154)------------------------------
% 0.11/0.34 % (18160)Instruction limit reached!
% 0.11/0.34 % (18160)------------------------------
% 0.11/0.34 % (18160)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (18160)Termination reason: Unknown
% 0.11/0.34 % (18160)Termination phase: Property scanning
% 0.11/0.34
% 0.11/0.34 % (18160)Memory used [KB]: 1023
% 0.11/0.34 % (18160)Time elapsed: 0.004 s
% 0.11/0.34 % (18160)Instructions burned: 5 (million)
% 0.11/0.34 % (18160)------------------------------
% 0.11/0.34 % (18160)------------------------------
% 0.11/0.34 % (18155)Refutation not found, incomplete strategy
% 0.11/0.34 % (18155)------------------------------
% 0.11/0.34 % (18155)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (18155)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.34
% 0.11/0.34
% 0.11/0.34 % (18155)Memory used [KB]: 5628
% 0.11/0.34 % (18155)Time elapsed: 0.007 s
% 0.11/0.34 % (18155)Instructions burned: 11 (million)
% 0.11/0.34 % (18155)------------------------------
% 0.11/0.34 % (18155)------------------------------
% 0.11/0.34 % (18159)Instruction limit reached!
% 0.11/0.34 % (18159)------------------------------
% 0.11/0.34 % (18159)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (18159)Termination reason: Unknown
% 0.11/0.34 % (18159)Termination phase: Saturation
% 0.11/0.34
% 0.11/0.34 % (18159)Memory used [KB]: 5628
% 0.11/0.34 % (18159)Time elapsed: 0.011 s
% 0.11/0.34 % (18159)Instructions burned: 18 (million)
% 0.11/0.34 % (18159)------------------------------
% 0.11/0.34 % (18159)------------------------------
% 0.11/0.35 % (18161)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)
% 0.11/0.35 % (18162)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)
% 0.11/0.35 % (18163)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)
% 0.11/0.35 % (18163)Instruction limit reached!
% 0.11/0.35 % (18163)------------------------------
% 0.11/0.35 % (18163)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (18163)Termination reason: Unknown
% 0.11/0.35 % (18163)Termination phase: Preprocessing 3
% 0.11/0.35
% 0.11/0.35 % (18163)Memory used [KB]: 1023
% 0.11/0.35 % (18163)Time elapsed: 0.003 s
% 0.11/0.35 % (18163)Instructions burned: 3 (million)
% 0.11/0.35 % (18163)------------------------------
% 0.11/0.35 % (18163)------------------------------
% 0.11/0.35 % (18164)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)
% 0.11/0.35 % (18158)Refutation not found, incomplete strategy
% 0.11/0.35 % (18158)------------------------------
% 0.11/0.35 % (18158)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (18158)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.35
% 0.11/0.35
% 0.11/0.35 % (18158)Memory used [KB]: 5628
% 0.11/0.35 % (18158)Time elapsed: 0.018 s
% 0.11/0.35 % (18158)Instructions burned: 37 (million)
% 0.11/0.35 % (18158)------------------------------
% 0.11/0.35 % (18158)------------------------------
% 0.11/0.36 % (18165)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)
% 0.11/0.36 % (18166)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)
% 0.11/0.36 % (18162)Instruction limit reached!
% 0.11/0.36 % (18162)------------------------------
% 0.11/0.36 % (18162)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (18162)Termination reason: Unknown
% 0.11/0.36 % (18162)Termination phase: Saturation
% 0.11/0.36
% 0.11/0.36 % (18162)Memory used [KB]: 5756
% 0.11/0.36 % (18162)Time elapsed: 0.010 s
% 0.11/0.36 % (18162)Instructions burned: 15 (million)
% 0.11/0.36 % (18162)------------------------------
% 0.11/0.36 % (18162)------------------------------
% 0.11/0.36 % (18165)Instruction limit reached!
% 0.11/0.36 % (18165)------------------------------
% 0.11/0.36 % (18165)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (18165)Termination reason: Unknown
% 0.11/0.36 % (18165)Termination phase: Saturation
% 0.11/0.36
% 0.11/0.36 % (18165)Memory used [KB]: 1023
% 0.11/0.36 % (18165)Time elapsed: 0.005 s
% 0.11/0.36 % (18165)Instructions burned: 7 (million)
% 0.11/0.36 % (18165)------------------------------
% 0.11/0.36 % (18165)------------------------------
% 0.11/0.36 % (18161)Instruction limit reached!
% 0.11/0.36 % (18161)------------------------------
% 0.11/0.36 % (18161)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (18161)Termination reason: Unknown
% 0.11/0.36 % (18161)Termination phase: Saturation
% 0.11/0.36
% 0.11/0.36 % (18161)Memory used [KB]: 5756
% 0.11/0.36 % (18161)Time elapsed: 0.017 s
% 0.11/0.36 % (18161)Instructions burned: 37 (million)
% 0.11/0.36 % (18161)------------------------------
% 0.11/0.36 % (18161)------------------------------
% 0.11/0.36 % (18167)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)
% 0.11/0.37 % (18166)Instruction limit reached!
% 0.11/0.37 % (18166)------------------------------
% 0.11/0.37 % (18166)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (18166)Termination reason: Unknown
% 0.11/0.37 % (18166)Termination phase: Saturation
% 0.11/0.37
% 0.11/0.37 % (18166)Memory used [KB]: 5756
% 0.11/0.37 % (18166)Time elapsed: 0.010 s
% 0.11/0.37 % (18166)Instructions burned: 17 (million)
% 0.11/0.37 % (18166)------------------------------
% 0.11/0.37 % (18166)------------------------------
% 0.11/0.37 % (18167)Instruction limit reached!
% 0.11/0.37 % (18167)------------------------------
% 0.11/0.37 % (18167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (18167)Termination reason: Unknown
% 0.11/0.37 % (18167)Termination phase: Preprocessing 3
% 0.11/0.37
% 0.11/0.37 % (18167)Memory used [KB]: 1023
% 0.11/0.37 % (18167)Time elapsed: 0.003 s
% 0.11/0.37 % (18167)Instructions burned: 4 (million)
% 0.11/0.37 % (18167)------------------------------
% 0.11/0.37 % (18167)------------------------------
% 0.11/0.37 % (18168)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)
% 0.11/0.37 % (18168)Instruction limit reached!
% 0.11/0.37 % (18168)------------------------------
% 0.11/0.37 % (18168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (18168)Termination reason: Unknown
% 0.11/0.37 % (18168)Termination phase: Preprocessing 3
% 0.11/0.37
% 0.11/0.37 % (18168)Memory used [KB]: 1023
% 0.11/0.37 % (18168)Time elapsed: 0.004 s
% 0.11/0.37 % (18168)Instructions burned: 4 (million)
% 0.11/0.37 % (18168)------------------------------
% 0.11/0.37 % (18168)------------------------------
% 0.16/0.37 % (18170)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)
% 0.16/0.37 % (18169)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)
% 0.16/0.37 % (18170)Instruction limit reached!
% 0.16/0.37 % (18170)------------------------------
% 0.16/0.37 % (18170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37 % (18170)Termination reason: Unknown
% 0.16/0.37 % (18170)Termination phase: Property scanning
% 0.16/0.37
% 0.16/0.37 % (18170)Memory used [KB]: 1023
% 0.16/0.37 % (18170)Time elapsed: 0.003 s
% 0.16/0.37 % (18170)Instructions burned: 3 (million)
% 0.16/0.37 % (18170)------------------------------
% 0.16/0.37 % (18170)------------------------------
% 0.16/0.37 % (18169)Instruction limit reached!
% 0.16/0.37 % (18169)------------------------------
% 0.16/0.37 % (18169)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37 % (18169)Termination reason: Unknown
% 0.16/0.37 % (18169)Termination phase: Saturation
% 0.16/0.37
% 0.16/0.37 % (18169)Memory used [KB]: 5500
% 0.16/0.37 % (18169)Time elapsed: 0.005 s
% 0.16/0.37 % (18169)Instructions burned: 8 (million)
% 0.16/0.37 % (18169)------------------------------
% 0.16/0.37 % (18169)------------------------------
% 0.16/0.37 % (18171)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)
% 0.16/0.38 % (18171)Instruction limit reached!
% 0.16/0.38 % (18171)------------------------------
% 0.16/0.38 % (18171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38 % (18171)Termination reason: Unknown
% 0.16/0.38 % (18171)Termination phase: Property scanning
% 0.16/0.38
% 0.16/0.38 % (18171)Memory used [KB]: 1023
% 0.16/0.38 % (18171)Time elapsed: 0.004 s
% 0.16/0.38 % (18171)Instructions burned: 5 (million)
% 0.16/0.38 % (18171)------------------------------
% 0.16/0.38 % (18171)------------------------------
% 0.16/0.38 % (18173)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)
% 0.16/0.38 % (18174)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)
% 0.16/0.38 % (18175)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.16/0.38 % (18175)Instruction limit reached!
% 0.16/0.38 % (18175)------------------------------
% 0.16/0.38 % (18175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38 % (18175)Termination reason: Unknown
% 0.16/0.38 % (18176)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)
% 0.16/0.38 % (18175)Termination phase: Saturation
% 0.16/0.38
% 0.16/0.38 % (18175)Memory used [KB]: 5500
% 0.16/0.38 % (18175)Time elapsed: 0.005 s
% 0.16/0.38 % (18175)Instructions burned: 7 (million)
% 0.16/0.38 % (18175)------------------------------
% 0.16/0.38 % (18175)------------------------------
% 0.16/0.39 % (18173)Instruction limit reached!
% 0.16/0.39 % (18173)------------------------------
% 0.16/0.39 % (18173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (18173)Termination reason: Unknown
% 0.16/0.39 % (18173)Termination phase: Saturation
% 0.16/0.39
% 0.16/0.39 % (18173)Memory used [KB]: 5628
% 0.16/0.39 % (18173)Time elapsed: 0.011 s
% 0.16/0.39 % (18173)Instructions burned: 19 (million)
% 0.16/0.39 % (18173)------------------------------
% 0.16/0.39 % (18173)------------------------------
% 0.16/0.39 % (18177)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)
% 0.16/0.39 % (18178)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.16/0.39 % (18178)Instruction limit reached!
% 0.16/0.39 % (18178)------------------------------
% 0.16/0.39 % (18178)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (18178)Termination reason: Unknown
% 0.16/0.39 % (18178)Termination phase: Saturation
% 0.16/0.39
% 0.16/0.39 % (18178)Memory used [KB]: 5500
% 0.16/0.39 % (18178)Time elapsed: 0.004 s
% 0.16/0.39 % (18178)Instructions burned: 5 (million)
% 0.16/0.39 % (18178)------------------------------
% 0.16/0.39 % (18178)------------------------------
% 0.16/0.40 % (18179)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)
% 0.16/0.40 % (18177)Instruction limit reached!
% 0.16/0.40 % (18177)------------------------------
% 0.16/0.40 % (18177)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (18177)Termination reason: Unknown
% 0.16/0.40 % (18177)Termination phase: Saturation
% 0.16/0.40
% 0.16/0.40 % (18177)Memory used [KB]: 5628
% 0.16/0.40 % (18177)Time elapsed: 0.012 s
% 0.16/0.40 % (18177)Instructions burned: 21 (million)
% 0.16/0.40 % (18177)------------------------------
% 0.16/0.40 % (18177)------------------------------
% 0.16/0.40 % (18180)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)
% 0.16/0.40 % (18179)Instruction limit reached!
% 0.16/0.40 % (18179)------------------------------
% 0.16/0.40 % (18179)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (18179)Termination reason: Unknown
% 0.16/0.40 % (18179)Termination phase: Saturation
% 0.16/0.40
% 0.16/0.40 % (18179)Memory used [KB]: 5500
% 0.16/0.40 % (18179)Time elapsed: 0.005 s
% 0.16/0.40 % (18179)Instructions burned: 7 (million)
% 0.16/0.40 % (18179)------------------------------
% 0.16/0.40 % (18179)------------------------------
% 0.16/0.40 % (18181)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)
% 0.16/0.40 % (18176)Refutation not found, incomplete strategy
% 0.16/0.40 % (18176)------------------------------
% 0.16/0.40 % (18176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (18176)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.40
% 0.16/0.40
% 0.16/0.40 % (18176)Memory used [KB]: 5756
% 0.16/0.40 % (18176)Time elapsed: 0.021 s
% 0.16/0.40 % (18176)Instructions burned: 43 (million)
% 0.16/0.40 % (18176)------------------------------
% 0.16/0.40 % (18176)------------------------------
% 0.16/0.41 % (18153)Instruction limit reached!
% 0.16/0.41 % (18153)------------------------------
% 0.16/0.41 % (18153)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (18153)Termination reason: Unknown
% 0.16/0.41 % (18153)Termination phase: Saturation
% 0.16/0.41
% 0.16/0.41 % (18153)Memory used [KB]: 6524
% 0.16/0.41 % (18153)Time elapsed: 0.075 s
% 0.16/0.41 % (18153)Instructions burned: 183 (million)
% 0.16/0.41 % (18153)------------------------------
% 0.16/0.41 % (18153)------------------------------
% 0.16/0.41 % (18182)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)
% 0.16/0.41 % (18183)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)
% 0.16/0.42 % (18185)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.16/0.42 % (18182)Instruction limit reached!
% 0.16/0.42 % (18182)------------------------------
% 0.16/0.42 % (18182)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (18182)Termination reason: Unknown
% 0.16/0.42 % (18182)Termination phase: Saturation
% 0.16/0.42
% 0.16/0.42 % (18182)Memory used [KB]: 5500
% 0.16/0.42 % (18182)Time elapsed: 0.010 s
% 0.16/0.42 % (18182)Instructions burned: 19 (million)
% 0.16/0.42 % (18182)------------------------------
% 0.16/0.42 % (18182)------------------------------
% 0.16/0.42 % (18186)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.16/0.42 % (18186)Instruction limit reached!
% 0.16/0.42 % (18186)------------------------------
% 0.16/0.42 % (18186)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (18186)Termination reason: Unknown
% 0.16/0.42 % (18186)Termination phase: Preprocessing 3
% 0.16/0.42
% 0.16/0.42 % (18186)Memory used [KB]: 1023
% 0.16/0.42 % (18186)Time elapsed: 0.003 s
% 0.16/0.42 % (18186)Instructions burned: 4 (million)
% 0.16/0.42 % (18186)------------------------------
% 0.16/0.42 % (18186)------------------------------
% 0.16/0.43 % (18185)Instruction limit reached!
% 0.16/0.43 % (18185)------------------------------
% 0.16/0.43 % (18185)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (18185)Termination reason: Unknown
% 0.16/0.43 % (18185)Termination phase: Saturation
% 0.16/0.43
% 0.16/0.43 % (18185)Memory used [KB]: 5756
% 0.16/0.43 % (18185)Time elapsed: 0.010 s
% 0.16/0.43 % (18185)Instructions burned: 17 (million)
% 0.16/0.43 % (18185)------------------------------
% 0.16/0.43 % (18185)------------------------------
% 0.16/0.43 % (18187)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2999ds/30Mi)
% 0.16/0.43 % (18188)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2999ds/127Mi)
% 0.16/0.44 % (18189)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 (2999ds/100Mi)
% 0.16/0.44 % (18187)Refutation not found, incomplete strategy
% 0.16/0.44 % (18187)------------------------------
% 0.16/0.44 % (18187)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44 % (18187)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.44
% 0.16/0.44
% 0.16/0.44 % (18187)Memory used [KB]: 5628
% 0.16/0.44 % (18187)Time elapsed: 0.032 s
% 0.16/0.44 % (18187)Instructions burned: 17 (million)
% 0.16/0.44 % (18187)------------------------------
% 0.16/0.44 % (18187)------------------------------
% 0.16/0.45 % (18180)Refutation not found, incomplete strategy
% 0.16/0.45 % (18180)------------------------------
% 0.16/0.45 % (18180)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.45 % (18180)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.45
% 0.16/0.45
% 0.16/0.45 % (18180)Memory used [KB]: 5756
% 0.16/0.45 % (18180)Time elapsed: 0.049 s
% 0.16/0.45 % (18180)Instructions burned: 108 (million)
% 0.16/0.45 % (18180)------------------------------
% 0.16/0.45 % (18180)------------------------------
% 0.16/0.45 % (18189)Refutation not found, incomplete strategy
% 0.16/0.45 % (18189)------------------------------
% 0.16/0.45 % (18189)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.45 % (18189)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.45
% 0.16/0.45
% 0.16/0.45 % (18189)Memory used [KB]: 5628
% 0.16/0.45 % (18189)Time elapsed: 0.032 s
% 0.16/0.45 % (18189)Instructions burned: 16 (million)
% 0.16/0.45 % (18189)------------------------------
% 0.16/0.45 % (18189)------------------------------
% 0.16/0.45 % (18190)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.16/0.46 % (18190)Instruction limit reached!
% 0.16/0.46 % (18190)------------------------------
% 0.16/0.46 % (18190)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.46 % (18190)Termination reason: Unknown
% 0.16/0.46 % (18190)Termination phase: Saturation
% 0.16/0.46
% 0.16/0.46 % (18190)Memory used [KB]: 1023
% 0.16/0.46 % (18190)Time elapsed: 0.004 s
% 0.16/0.46 % (18190)Instructions burned: 4 (million)
% 0.16/0.46 % (18190)------------------------------
% 0.16/0.46 % (18190)------------------------------
% 0.16/0.46 % (18181)Refutation not found, incomplete strategy
% 0.16/0.46 % (18181)------------------------------
% 0.16/0.46 % (18181)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.46 % (18181)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.46
% 0.16/0.46
% 0.16/0.46 % (18181)Memory used [KB]: 6140
% 0.16/0.46 % (18181)Time elapsed: 0.055 s
% 0.16/0.46 % (18181)Instructions burned: 128 (million)
% 0.16/0.46 % (18181)------------------------------
% 0.16/0.46 % (18181)------------------------------
% 0.16/0.46 % (18191)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on Vampire---4 for (2998ds/20Mi)
% 0.16/0.46 % (18192)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (2998ds/86Mi)
% 0.16/0.47 % (18193)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on Vampire---4 for (2998ds/107Mi)
% 0.16/0.47 % (18191)Instruction limit reached!
% 0.16/0.47 % (18191)------------------------------
% 0.16/0.47 % (18191)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.47 % (18191)Termination reason: Unknown
% 0.16/0.47 % (18191)Termination phase: Saturation
% 0.16/0.47
% 0.16/0.47 % (18191)Memory used [KB]: 5628
% 0.16/0.47 % (18191)Time elapsed: 0.011 s
% 0.16/0.47 % (18191)Instructions burned: 20 (million)
% 0.16/0.47 % (18191)------------------------------
% 0.16/0.47 % (18191)------------------------------
% 0.16/0.47 % (18194)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on Vampire---4 for (2998ds/39Mi)
% 0.16/0.48 % (18195)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (2998ds/448Mi)
% 0.16/0.48 % (18193)Refutation not found, incomplete strategy
% 0.16/0.48 % (18193)------------------------------
% 0.16/0.48 % (18193)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.48 % (18193)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.48
% 0.16/0.48
% 0.16/0.48 % (18193)Memory used [KB]: 5628
% 0.16/0.48 % (18193)Time elapsed: 0.015 s
% 0.16/0.48 % (18193)Instructions burned: 27 (million)
% 0.16/0.48 % (18193)------------------------------
% 0.16/0.48 % (18193)------------------------------
% 0.16/0.49 % (18194)Instruction limit reached!
% 0.16/0.49 % (18194)------------------------------
% 0.16/0.49 % (18194)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.49 % (18194)Termination reason: Unknown
% 0.16/0.49 % (18194)Termination phase: Saturation
% 0.16/0.49
% 0.16/0.49 % (18194)Memory used [KB]: 5628
% 0.16/0.49 % (18194)Time elapsed: 0.021 s
% 0.16/0.49 % (18194)Instructions burned: 41 (million)
% 0.16/0.49 % (18194)------------------------------
% 0.16/0.49 % (18194)------------------------------
% 0.16/0.49 % (18188)Instruction limit reached!
% 0.16/0.49 % (18188)------------------------------
% 0.16/0.49 % (18188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.49 % (18188)Termination reason: Unknown
% 0.16/0.49 % (18188)Termination phase: Saturation
% 0.16/0.49
% 0.16/0.49 % (18188)Memory used [KB]: 6140
% 0.16/0.49 % (18188)Time elapsed: 0.082 s
% 0.16/0.49 % (18188)Instructions burned: 127 (million)
% 0.16/0.49 % (18188)------------------------------
% 0.16/0.49 % (18188)------------------------------
% 0.16/0.50 % (18196)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on Vampire---4 for (2998ds/46Mi)
% 0.16/0.50 % (18197)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on Vampire---4 for (2998ds/98Mi)
% 0.16/0.51 % (18192)Instruction limit reached!
% 0.16/0.51 % (18192)------------------------------
% 0.16/0.51 % (18192)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.51 % (18192)Termination reason: Unknown
% 0.16/0.51 % (18192)Termination phase: Saturation
% 0.16/0.51
% 0.16/0.51 % (18192)Memory used [KB]: 6652
% 0.16/0.51 % (18192)Time elapsed: 0.047 s
% 0.16/0.51 % (18192)Instructions burned: 87 (million)
% 0.16/0.51 % (18192)------------------------------
% 0.16/0.51 % (18192)------------------------------
% 0.16/0.51 % (18198)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on Vampire---4 for (2998ds/507Mi)
% 0.16/0.51 % (18183)Refutation not found, incomplete strategy
% 0.16/0.51 % (18183)------------------------------
% 0.16/0.51 % (18183)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.51 % (18183)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.51
% 0.16/0.51
% 0.16/0.51 % (18183)Memory used [KB]: 6140
% 0.16/0.51 % (18183)Time elapsed: 0.125 s
% 0.16/0.51 % (18183)Instructions burned: 216 (million)
% 0.16/0.51 % (18183)------------------------------
% 0.16/0.51 % (18183)------------------------------
% 0.16/0.52 % (18199)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on Vampire---4 for (2998ds/149Mi)
% 0.16/0.52 % (18198)Refutation not found, incomplete strategy
% 0.16/0.52 % (18198)------------------------------
% 0.16/0.52 % (18198)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.52 % (18198)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.52
% 0.16/0.52
% 0.16/0.52 % (18198)Memory used [KB]: 5628
% 0.16/0.52 % (18198)Time elapsed: 0.014 s
% 0.16/0.52 % (18198)Instructions burned: 28 (million)
% 0.16/0.52 % (18198)------------------------------
% 0.16/0.52 % (18198)------------------------------
% 0.16/0.52 % (18196)Instruction limit reached!
% 0.16/0.52 % (18196)------------------------------
% 0.16/0.52 % (18196)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.52 % (18196)Termination reason: Unknown
% 0.16/0.52 % (18196)Termination phase: Saturation
% 0.16/0.52
% 0.16/0.52 % (18196)Memory used [KB]: 5884
% 0.16/0.52 % (18196)Time elapsed: 0.027 s
% 0.16/0.52 % (18196)Instructions burned: 47 (million)
% 0.16/0.52 % (18196)------------------------------
% 0.16/0.52 % (18196)------------------------------
% 0.16/0.53 % (18200)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2998ds/39Mi)
% 0.16/0.53 % (18201)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2998ds/6Mi)
% 0.16/0.54 % (18201)Instruction limit reached!
% 0.16/0.54 % (18201)------------------------------
% 0.16/0.54 % (18201)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.54 % (18201)Termination reason: Unknown
% 0.16/0.54 % (18201)Termination phase: Saturation
% 0.16/0.54
% 0.16/0.54 % (18201)Memory used [KB]: 9978
% 0.16/0.54 % (18201)Time elapsed: 0.005 s
% 0.16/0.54 % (18201)Instructions burned: 6 (million)
% 0.16/0.54 % (18201)------------------------------
% 0.16/0.54 % (18201)------------------------------
% 1.79/0.54 % (18200)Refutation not found, incomplete strategy
% 1.79/0.54 % (18200)------------------------------
% 1.79/0.54 % (18200)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.79/0.54 % (18200)Termination reason: Refutation not found, incomplete strategy
% 1.79/0.54
% 1.79/0.54
% 1.79/0.54 % (18200)Memory used [KB]: 5628
% 1.79/0.54 % (18200)Time elapsed: 0.016 s
% 1.79/0.54 % (18200)Instructions burned: 30 (million)
% 1.79/0.54 % (18200)------------------------------
% 1.79/0.54 % (18200)------------------------------
% 1.79/0.55 % (18197)Instruction limit reached!
% 1.79/0.55 % (18197)------------------------------
% 1.79/0.55 % (18197)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.79/0.55 % (18197)Termination reason: Unknown
% 1.79/0.55 % (18197)Termination phase: Saturation
% 1.79/0.55
% 1.79/0.55 % (18197)Memory used [KB]: 1151
% 1.79/0.55 % (18197)Time elapsed: 0.044 s
% 1.79/0.55 % (18197)Instructions burned: 99 (million)
% 1.79/0.55 % (18197)------------------------------
% 1.79/0.55 % (18197)------------------------------
% 1.79/0.55 % (18203)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (2997ds/47Mi)
% 1.79/0.55 % (18202)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on Vampire---4 for (2997ds/1087Mi)
% 1.79/0.55 % (18204)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (2997ds/44Mi)
% 1.79/0.56 % (18205)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on Vampire---4 for (2997ds/432Mi)
% 1.90/0.57 % (18203)Instruction limit reached!
% 1.90/0.57 % (18203)------------------------------
% 1.90/0.57 % (18203)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.90/0.57 % (18203)Termination reason: Unknown
% 1.90/0.57 % (18203)Termination phase: Saturation
% 1.90/0.57
% 1.90/0.57 % (18203)Memory used [KB]: 5884
% 1.90/0.57 % (18203)Time elapsed: 0.024 s
% 1.90/0.57 % (18203)Instructions burned: 48 (million)
% 1.90/0.57 % (18203)------------------------------
% 1.90/0.57 % (18203)------------------------------
% 1.90/0.57 % (18204)Instruction limit reached!
% 1.90/0.57 % (18204)------------------------------
% 1.90/0.57 % (18204)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.90/0.57 % (18204)Termination reason: Unknown
% 1.90/0.57 % (18204)Termination phase: Saturation
% 1.90/0.57
% 1.90/0.57 % (18204)Memory used [KB]: 1151
% 1.90/0.57 % (18204)Time elapsed: 0.022 s
% 1.90/0.57 % (18204)Instructions burned: 45 (million)
% 1.90/0.57 % (18204)------------------------------
% 1.90/0.57 % (18204)------------------------------
% 1.90/0.58 % (18206)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (2997ds/62Mi)
% 1.90/0.59 % (18207)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on Vampire---4 for (2997ds/31Mi)
% 1.90/0.59 % (18199)Instruction limit reached!
% 1.90/0.59 % (18199)------------------------------
% 1.90/0.59 % (18199)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.90/0.59 % (18199)Termination reason: Unknown
% 1.90/0.59 % (18199)Termination phase: Saturation
% 1.90/0.59
% 1.90/0.59 % (18199)Memory used [KB]: 6012
% 1.90/0.59 % (18199)Time elapsed: 0.078 s
% 1.90/0.59 % (18199)Instructions burned: 150 (million)
% 1.90/0.59 % (18199)------------------------------
% 1.90/0.59 % (18199)------------------------------
% 1.90/0.60 % (18207)Instruction limit reached!
% 1.90/0.60 % (18207)------------------------------
% 1.90/0.60 % (18207)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.90/0.60 % (18207)Termination reason: Unknown
% 1.90/0.60 % (18207)Termination phase: Saturation
% 1.90/0.60
% 1.90/0.60 % (18207)Memory used [KB]: 5756
% 1.90/0.60 % (18207)Time elapsed: 0.017 s
% 1.90/0.60 % (18207)Instructions burned: 31 (million)
% 1.90/0.60 % (18207)------------------------------
% 1.90/0.60 % (18207)------------------------------
% 1.90/0.61 % (18208)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (2997ds/96Mi)
% 1.90/0.61 % (18206)Instruction limit reached!
% 1.90/0.61 % (18206)------------------------------
% 1.90/0.61 % (18206)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.90/0.61 % (18206)Termination reason: Unknown
% 1.90/0.61 % (18206)Termination phase: Saturation
% 1.90/0.61
% 1.90/0.61 % (18206)Memory used [KB]: 5628
% 1.90/0.61 % (18206)Time elapsed: 0.030 s
% 1.90/0.61 % (18206)Instructions burned: 63 (million)
% 1.90/0.61 % (18206)------------------------------
% 1.90/0.61 % (18206)------------------------------
% 1.90/0.62 % (18209)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on Vampire---4 for (2997ds/453Mi)
% 1.90/0.62 % (18210)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (2997ds/71Mi)
% 2.29/0.65 % (18208)Instruction limit reached!
% 2.29/0.65 % (18208)------------------------------
% 2.29/0.65 % (18208)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.29/0.65 % (18208)Termination reason: Unknown
% 2.29/0.65 % (18208)Termination phase: Saturation
% 2.29/0.65
% 2.29/0.65 % (18208)Memory used [KB]: 5884
% 2.29/0.65 % (18208)Time elapsed: 0.047 s
% 2.29/0.65 % (18208)Instructions burned: 97 (million)
% 2.29/0.65 % (18208)------------------------------
% 2.29/0.65 % (18208)------------------------------
% 2.29/0.65 % (18205)First to succeed.
% 2.29/0.66 % (18210)Instruction limit reached!
% 2.29/0.66 % (18210)------------------------------
% 2.29/0.66 % (18210)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.29/0.66 % (18210)Termination reason: Unknown
% 2.29/0.66 % (18210)Termination phase: Saturation
% 2.29/0.66
% 2.29/0.66 % (18210)Memory used [KB]: 5756
% 2.29/0.66 % (18210)Time elapsed: 0.036 s
% 2.29/0.66 % (18210)Instructions burned: 73 (million)
% 2.29/0.66 % (18210)------------------------------
% 2.29/0.66 % (18210)------------------------------
% 2.29/0.66 % (18205)Refutation found. Thanks to Tanya!
% 2.29/0.66 % SZS status Theorem for Vampire---4
% 2.29/0.66 % SZS output start Proof for Vampire---4
% 2.29/0.66 thf(func_def_16, type, ph0: !>[X0: $tType]:(X0)).
% 2.29/0.66 thf(func_def_17, type, sK1: ($i > $o) > $i > $o).
% 2.29/0.66 thf(func_def_19, type, sK3: ($i > $o) > $i).
% 2.29/0.66 thf(func_def_23, type, sK6: $i > $o).
% 2.29/0.66 thf(f419,plain,(
% 2.29/0.66 $false),
% 2.29/0.66 inference(trivial_inequality_removal,[],[f418])).
% 2.29/0.66 thf(f418,plain,(
% 2.29/0.66 ($false = $true)),
% 2.29/0.66 inference(boolean_simplification,[],[f409])).
% 2.29/0.66 thf(f409,plain,(
% 2.29/0.66 (($false => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK3 @ sK6)) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))))))) = $false)),
% 2.29/0.66 inference(superposition,[],[f313,f393])).
% 2.29/0.66 thf(f393,plain,(
% 2.29/0.66 ((sK6 @ (sK3 @ sK6)) = $false)),
% 2.29/0.66 inference(boolean_simplification,[],[f392])).
% 2.29/0.66 thf(f392,plain,(
% 2.29/0.66 (((sK6 @ (sK3 @ sK6)) & $true) = $false)),
% 2.29/0.66 inference(beta_eta_normalization,[],[f361])).
% 2.29/0.66 thf(f361,plain,(
% 2.29/0.66 ((((^[Y0 : $i]: (sK6 @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ (sK3 @ sK6)) & $true) = $false)),
% 2.29/0.66 inference(superposition,[],[f355,f239])).
% 2.29/0.66 thf(f239,plain,(
% 2.29/0.66 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => (sK1 @ sK6 @ Y0)))))),
% 2.29/0.66 inference(binary_proxy_clausification,[],[f236])).
% 2.29/0.66 thf(f236,plain,(
% 2.29/0.66 ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => (sK1 @ sK6 @ Y0)))) & (sK6 @ sK5)))),
% 2.29/0.66 inference(beta_eta_normalization,[],[f234])).
% 2.29/0.66 thf(f234,plain,(
% 2.29/0.66 (((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))) & (Y0 @ sK5))) @ sK6) = $true)),
% 2.29/0.66 inference(sigma_clausification,[],[f218])).
% 2.29/0.66 thf(f218,plain,(
% 2.29/0.66 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))) & (Y0 @ sK5)))) = $true)),
% 2.29/0.66 inference(binary_proxy_clausification,[],[f213])).
% 2.29/0.66 thf(f213,plain,(
% 2.29/0.66 (((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))) & (Y0 @ sK5)))) => (sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ sK5)) = $false)),
% 2.29/0.66 inference(beta_eta_normalization,[],[f205])).
% 2.29/0.66 thf(f205,plain,(
% 2.29/0.66 (((^[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]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0))) @ sK5) = $false)),
% 2.29/0.66 inference(sigma_clausification,[],[f204])).
% 2.29/0.66 thf(f204,plain,(
% 2.29/0.66 ((!! @ $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]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0)))) = $false)),
% 2.29/0.66 inference(subsumption_resolution,[],[f34,f151])).
% 2.29/0.66 thf(f151,plain,(
% 2.29/0.66 ((!! @ $i @ (^[Y0 : $i]: ((sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0) => (sK1 @ (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3))))))))) @ Y0)))) != $true)),
% 2.29/0.66 inference(boolean_simplification,[],[f139])).
% 2.29/0.66 thf(f139,plain,(
% 2.29/0.66 (($true & (!! @ $i @ (^[Y0 : $i]: ((sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0) => (sK1 @ (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3))))))))) @ Y0))))) != $true)),
% 2.29/0.66 inference(superposition,[],[f18,f124])).
% 2.29/0.66 thf(f124,plain,(
% 2.29/0.66 ((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ sK2) = $true)),
% 2.29/0.66 inference(trivial_inequality_removal,[],[f123])).
% 2.29/0.66 thf(f123,plain,(
% 2.29/0.66 ($false != $false) | ((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ sK2) = $true)),
% 2.29/0.66 inference(boolean_simplification,[],[f122])).
% 2.29/0.66 thf(f122,plain,(
% 2.29/0.66 ((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ sK2) = $true) | (($false & (!! @ $i @ (^[Y0 : $i]: ((sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0) => (sK1 @ (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3))))))))) @ Y0))))) != $false)),
% 2.29/0.66 inference(trivial_inequality_removal,[],[f121])).
% 2.29/0.66 thf(f121,plain,(
% 2.29/0.66 ((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ sK2) = $true) | ($false = $true) | (($false & (!! @ $i @ (^[Y0 : $i]: ((sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0) => (sK1 @ (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3))))))))) @ Y0))))) != $false)),
% 2.29/0.66 inference(boolean_simplification,[],[f120])).
% 2.29/0.66 thf(f120,plain,(
% 2.29/0.66 (((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK3 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))))) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1))))))) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK3 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))))) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))))))) = $false) | ((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ sK2) = $true) | (($false & (!! @ $i @ (^[Y0 : $i]: ((sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0) => (sK1 @ (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3))))))))) @ Y0))))) != $false)),
% 2.29/0.66 inference(beta_eta_normalization,[],[f98])).
% 2.29/0.66 thf(f98,plain,(
% 2.29/0.66 ((((^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ (sK3 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))))) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK3 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))))) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))))))) = $false) | ((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ sK2) = $true) | (($false & (!! @ $i @ (^[Y0 : $i]: ((sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0) => (sK1 @ (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3))))))))) @ Y0))))) != $false)),
% 2.29/0.66 inference(superposition,[],[f18,f63])).
% 2.29/0.66 thf(f63,plain,(
% 2.29/0.66 ( ! [X2 : $i,X1 : $i > $o] : (((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ X2) = $true) | (((X1 @ (sK3 @ X1)) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK3 @ X1)) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))))))) = $false) | ((sK1 @ X1 @ X2) = $false)) )),
% 2.29/0.66 inference(beta_eta_normalization,[],[f50])).
% 2.29/0.66 thf(f50,plain,(
% 2.29/0.66 ( ! [X2 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: ((X1 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2))))))))) @ (sK3 @ X1)) = $false) | ((sK1 @ X1 @ X2) = $false) | ((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ X2) = $true)) )),
% 2.29/0.66 inference(sigma_clausification,[],[f49])).
% 2.29/0.66 thf(f49,plain,(
% 2.29/0.66 ( ! [X2 : $i,X1 : $i > $o] : (((sK1 @ X1 @ X2) = $false) | ((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ X2) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))))) = $false)) )),
% 2.29/0.66 inference(binary_proxy_clausification,[],[f47])).
% 2.29/0.66 thf(f47,plain,(
% 2.29/0.66 ( ! [X2 : $i,X1 : $i > $o] : ((((sK1 @ X1 @ X2) => (sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ X2)) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))))) = $false)) )),
% 2.29/0.66 inference(beta_eta_normalization,[],[f45])).
% 2.29/0.66 thf(f45,plain,(
% 2.29/0.66 ( ! [X2 : $i,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))))) = $false) | ($true = ((^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0))) @ X2))) )),
% 2.29/0.66 inference(pi_clausification,[],[f33])).
% 2.29/0.66 thf(f33,plain,(
% 2.29/0.66 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0)))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))))) = $false)) )),
% 2.29/0.66 inference(binary_proxy_clausification,[],[f28])).
% 2.29/0.66 thf(f28,plain,(
% 2.29/0.66 ( ! [X1 : $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))))) => (!! @ $i @ (^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0))))) = $true)) )),
% 2.29/0.66 inference(beta_eta_normalization,[],[f25])).
% 2.29/0.66 thf(f25,plain,(
% 2.29/0.66 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))))) => (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK1 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (sK1 @ Y3 @ Y4)))))))) @ Y1)))))) @ X1) = $true)) )),
% 2.29/0.66 inference(pi_clausification,[],[f22])).
% 2.29/0.66 thf(f22,plain,(
% 2.29/0.66 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))))) => (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK1 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (sK1 @ Y3 @ Y4)))))))) @ Y1))))))) = $true)),
% 2.29/0.66 inference(binary_proxy_clausification,[],[f13])).
% 2.29/0.66 thf(f13,plain,(
% 2.29/0.66 (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))))) => (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK1 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (sK1 @ Y3 @ Y4)))))))) @ Y1))))))) & ((!! @ $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]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0)))) => (!! @ $i @ (^[Y0 : $i]: ((sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0) => (sK1 @ (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3))))))))) @ Y0)))))) = $true)),
% 2.29/0.66 inference(binary_proxy_clausification,[],[f11])).
% 2.29/0.66 thf(f11,plain,(
% 2.29/0.66 ($false = (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))))) => (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK1 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (sK1 @ Y3 @ Y4)))))))) @ Y1))))))) & ((!! @ $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]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0)))) => (!! @ $i @ (^[Y0 : $i]: ((sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0) => (sK1 @ (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3))))))))) @ Y0)))))) => (!! @ $i @ (^[Y0 : $i]: (((sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0) & (!! @ $i @ (^[Y1 : $i]: ((sK1 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (sK1 @ Y3 @ Y4)))))))) @ Y1) => (sK1 @ (sK1 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (sK1 @ Y3 @ Y4))))))))) @ Y1))))) = (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0))))))),
% 2.29/0.66 inference(beta_eta_normalization,[],[f8])).
% 2.29/0.66 thf(f8,plain,(
% 2.29/0.66 (((^[Y0 : ($i > $o) > $i > $o]: (((!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))))) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((Y4 @ Y3) & (!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y0 @ Y4 @ Y5)))))))) @ Y2))))))) & ((!! @ $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]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1) => (Y0 @ (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4))))))))) @ Y1)))))) => (!! @ $i @ (^[Y1 : $i]: (((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1) & (!! @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((Y4 @ Y3) & (!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y0 @ Y4 @ Y5)))))))) @ Y2) => (Y0 @ (Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((Y4 @ Y3) & (!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y0 @ Y4 @ Y5))))))))) @ Y2))))) = (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1)))))) @ sK1) = $false)),
% 2.29/0.66 inference(sigma_clausification,[],[f7])).
% 2.29/0.66 thf(f7,plain,(
% 2.29/0.66 ((!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: (((!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))))) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((Y4 @ Y3) & (!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y0 @ Y4 @ Y5)))))))) @ Y2))))))) & ((!! @ $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]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1) => (Y0 @ (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4))))))))) @ Y1)))))) => (!! @ $i @ (^[Y1 : $i]: (((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1) & (!! @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((Y4 @ Y3) & (!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y0 @ Y4 @ Y5)))))))) @ Y2) => (Y0 @ (Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((Y4 @ Y3) & (!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y0 @ Y4 @ Y5))))))))) @ Y2))))) = (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1))))))) = $false)),
% 2.29/0.66 inference(not_proxy_clausification,[],[f6])).
% 2.29/0.66 thf(f6,plain,(
% 2.29/0.66 ((~ (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: (((!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))))) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((Y4 @ Y3) & (!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y0 @ Y4 @ Y5)))))))) @ Y2))))))) & ((!! @ $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]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1) => (Y0 @ (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4))))))))) @ Y1)))))) => (!! @ $i @ (^[Y1 : $i]: (((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1) & (!! @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((Y4 @ Y3) & (!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y0 @ Y4 @ Y5)))))))) @ Y2) => (Y0 @ (Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((Y4 @ Y3) & (!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y0 @ Y4 @ Y5))))))))) @ Y2))))) = (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1)))))))) = $true)),
% 2.29/0.66 inference(cnf_transformation,[],[f5])).
% 2.29/0.66 thf(f5,plain,(
% 2.29/0.66 ((~ (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: (((!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))))) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((Y4 @ Y3) & (!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y0 @ Y4 @ Y5)))))))) @ Y2))))))) & ((!! @ $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]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1) => (Y0 @ (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4))))))))) @ Y1)))))) => (!! @ $i @ (^[Y1 : $i]: (((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1) & (!! @ $i @ (^[Y2 : $i]: ((Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((Y4 @ Y3) & (!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y0 @ Y4 @ Y5)))))))) @ Y2) => (Y0 @ (Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((Y4 @ Y3) & (!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y0 @ Y4 @ Y5))))))))) @ Y2))))) = (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1)))))))) = $true)),
% 2.29/0.66 inference(fool_elimination,[],[f4])).
% 2.29/0.66 thf(f4,plain,(
% 2.29/0.66 ~! [X0 : ($i > $o) > $i > $o] : (((! [X1] : (? [X2 : $i > $o] : ((X2 @ X1) & ! [X3] : ((X2 @ X3) => (X0 @ X2 @ X3))) => (X0 @ (^[X4 : $i] : (? [X5 : $i > $o] : (! [X6] : ((X5 @ X6) => (X0 @ X5 @ X6)) & (X5 @ X4)))) @ X1)) => ! [X7] : ((X0 @ (^[X8 : $i] : (? [X9 : $i > $o] : (! [X10] : ((X9 @ X10) => (X0 @ X9 @ X10)) & (X9 @ X8)))) @ X7) => (X0 @ (X0 @ (^[X11 : $i] : (? [X12 : $i > $o] : (! [X13] : ((X12 @ X13) => (X0 @ X12 @ X13)) & (X12 @ X11))))) @ X7))) & ! [X14 : $i > $o] : (! [X15] : ((X14 @ X15) => ? [X16 : $i > $o] : (! [X17] : ((X16 @ X17) => (X0 @ X16 @ X17)) & (X16 @ X15))) => ! [X18] : ((X0 @ X14 @ X18) => (X0 @ (^[X19 : $i] : (? [X20 : $i > $o] : (! [X21] : ((X20 @ X21) => (X0 @ X20 @ X21)) & (X20 @ X19)))) @ X18)))) => ! [X22] : ((! [X23] : ((X0 @ (^[X24 : $i] : (? [X25 : $i > $o] : (! [X26] : ((X25 @ X26) => (X0 @ X25 @ X26)) & (X25 @ X24)))) @ X23) => (X0 @ (X0 @ (^[X27 : $i] : (? [X28 : $i > $o] : (! [X29] : ((X28 @ X29) => (X0 @ X28 @ X29)) & (X28 @ X27))))) @ X23)) & (X0 @ (^[X30 : $i] : (? [X31 : $i > $o] : (! [X32] : ((X31 @ X32) => (X0 @ X31 @ X32)) & (X31 @ X30)))) @ X22)) <=> (X0 @ (^[X33 : $i] : (? [X34 : $i > $o] : (! [X35] : ((X34 @ X35) => (X0 @ X34 @ X35)) & (X34 @ X33)))) @ X22)))),
% 2.29/0.66 inference(rectify,[],[f2])).
% 2.29/0.66 thf(f2,negated_conjecture,(
% 2.29/0.66 ~! [X0 : ($i > $o) > $i > $o] : (((! [X1] : (? [X3 : $i > $o] : ((X3 @ X1) & ! [X2] : ((X3 @ X2) => (X0 @ X3 @ X2))) => (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1)) => ! [X1] : ((X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1) => (X0 @ (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))))) @ X1))) & ! [X1 : $i > $o] : (! [X2] : ((X1 @ X2) => ? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))) => ! [X2] : ((X0 @ X1 @ X2) => (X0 @ (^[X4 : $i] : (? [X3 : $i > $o] : (! [X5] : ((X3 @ X5) => (X0 @ X3 @ X5)) & (X3 @ X4)))) @ X2)))) => ! [X1] : ((! [X2] : ((X0 @ (^[X4 : $i] : (? [X3 : $i > $o] : (! [X5] : ((X3 @ X5) => (X0 @ X3 @ X5)) & (X3 @ X4)))) @ X2) => (X0 @ (X0 @ (^[X4 : $i] : (? [X3 : $i > $o] : (! [X5] : ((X3 @ X5) => (X0 @ X3 @ X5)) & (X3 @ X4))))) @ X2)) & (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1)) <=> (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1)))),
% 2.29/0.66 inference(negated_conjecture,[],[f1])).
% 2.29/0.66 thf(f1,conjecture,(
% 2.29/0.66 ! [X0 : ($i > $o) > $i > $o] : (((! [X1] : (? [X3 : $i > $o] : ((X3 @ X1) & ! [X2] : ((X3 @ X2) => (X0 @ X3 @ X2))) => (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1)) => ! [X1] : ((X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1) => (X0 @ (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))))) @ X1))) & ! [X1 : $i > $o] : (! [X2] : ((X1 @ X2) => ? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))) => ! [X2] : ((X0 @ X1 @ X2) => (X0 @ (^[X4 : $i] : (? [X3 : $i > $o] : (! [X5] : ((X3 @ X5) => (X0 @ X3 @ X5)) & (X3 @ X4)))) @ X2)))) => ! [X1] : ((! [X2] : ((X0 @ (^[X4 : $i] : (? [X3 : $i > $o] : (! [X5] : ((X3 @ X5) => (X0 @ X3 @ X5)) & (X3 @ X4)))) @ X2) => (X0 @ (X0 @ (^[X4 : $i] : (? [X3 : $i > $o] : (! [X5] : ((X3 @ X5) => (X0 @ X3 @ X5)) & (X3 @ X4))))) @ X2)) & (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1)) <=> (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1)))),
% 2.29/0.66 file('/export/starexec/sandbox/tmp/tmp.ucekH8qbW0/Vampire---4.8_18043',cTHM2D_pme)).
% 2.29/0.66 thf(f18,plain,(
% 2.29/0.66 ((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ sK2) != ((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ sK2) & (!! @ $i @ (^[Y0 : $i]: ((sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0) => (sK1 @ (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3))))))))) @ Y0))))))),
% 2.29/0.66 inference(binary_proxy_clausification,[],[f17])).
% 2.29/0.66 thf(f17,plain,(
% 2.29/0.66 ((((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ sK2) & (!! @ $i @ (^[Y0 : $i]: ((sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0) => (sK1 @ (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3))))))))) @ Y0))))) = (sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ sK2)) = $false)),
% 2.29/0.66 inference(beta_eta_normalization,[],[f14])).
% 2.29/0.66 thf(f14,plain,(
% 2.29/0.66 (((^[Y0 : $i]: (((sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0) & (!! @ $i @ (^[Y1 : $i]: ((sK1 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (sK1 @ Y3 @ Y4)))))))) @ Y1) => (sK1 @ (sK1 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (sK1 @ Y3 @ Y4))))))))) @ Y1))))) = (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0))) @ sK2) = $false)),
% 2.29/0.66 inference(sigma_clausification,[],[f12])).
% 2.29/0.66 thf(f12,plain,(
% 2.29/0.66 ((!! @ $i @ (^[Y0 : $i]: (((sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0) & (!! @ $i @ (^[Y1 : $i]: ((sK1 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (sK1 @ Y3 @ Y4)))))))) @ Y1) => (sK1 @ (sK1 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (sK1 @ Y3 @ Y4))))))))) @ Y1))))) = (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0)))) = $false)),
% 2.29/0.66 inference(binary_proxy_clausification,[],[f11])).
% 2.29/0.66 thf(f34,plain,(
% 2.29/0.66 ((!! @ $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]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0) => (sK1 @ (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3))))))))) @ Y0)))) = $true)),
% 2.29/0.66 inference(binary_proxy_clausification,[],[f21])).
% 2.29/0.66 thf(f21,plain,(
% 2.29/0.66 (((!! @ $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]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0)))) => (!! @ $i @ (^[Y0 : $i]: ((sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))))))) @ Y0) => (sK1 @ (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3))))))))) @ Y0))))) = $true)),
% 2.29/0.66 inference(binary_proxy_clausification,[],[f13])).
% 2.29/0.66 thf(f355,plain,(
% 2.29/0.66 ( ! [X1 : $i > $o] : ((((X1 @ (sK3 @ sK6)) & (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (sK1 @ X1 @ Y0))))) = $false)) )),
% 2.29/0.66 inference(beta_eta_normalization,[],[f349])).
% 2.29/0.66 thf(f349,plain,(
% 2.29/0.66 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((Y0 @ (sK3 @ sK6)) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))))) @ X1) = $false)) )),
% 2.29/0.66 inference(pi_clausification,[],[f325])).
% 2.29/0.66 thf(f325,plain,(
% 2.29/0.66 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK3 @ sK6)) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1))))))) = $false)),
% 2.29/0.66 inference(binary_proxy_clausification,[],[f313])).
% 2.29/0.66 thf(f313,plain,(
% 2.29/0.66 (((sK6 @ (sK3 @ sK6)) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK3 @ sK6)) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))))))) = $false)),
% 2.29/0.66 inference(trivial_inequality_removal,[],[f312])).
% 2.29/0.66 thf(f312,plain,(
% 2.29/0.66 ($false = $true) | (((sK6 @ (sK3 @ sK6)) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK3 @ sK6)) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))))))) = $false)),
% 2.29/0.66 inference(forward_demodulation,[],[f308,f217])).
% 2.29/0.66 thf(f217,plain,(
% 2.29/0.66 ((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ sK5) = $false)),
% 2.29/0.66 inference(binary_proxy_clausification,[],[f213])).
% 2.29/0.66 thf(f308,plain,(
% 2.29/0.66 ((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ sK5) = $true) | (((sK6 @ (sK3 @ sK6)) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK3 @ sK6)) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))))))) = $false)),
% 2.29/0.66 inference(trivial_inequality_removal,[],[f295])).
% 2.29/0.66 thf(f295,plain,(
% 2.29/0.66 ($false = $true) | (((sK6 @ (sK3 @ sK6)) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK3 @ sK6)) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))))))) = $false) | ((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ sK5) = $true)),
% 2.29/0.66 inference(superposition,[],[f277,f63])).
% 2.29/0.66 thf(f277,plain,(
% 2.29/0.66 ((sK1 @ sK6 @ sK5) = $true)),
% 2.29/0.66 inference(boolean_simplification,[],[f273])).
% 2.29/0.66 thf(f273,plain,(
% 2.29/0.66 (($true => (sK1 @ sK6 @ sK5)) = $true)),
% 2.29/0.66 inference(superposition,[],[f268,f238])).
% 2.29/0.66 thf(f238,plain,(
% 2.29/0.66 ((sK6 @ sK5) = $true)),
% 2.29/0.66 inference(binary_proxy_clausification,[],[f236])).
% 2.29/0.66 thf(f268,plain,(
% 2.29/0.66 ( ! [X1 : $i] : ((((sK6 @ X1) => (sK1 @ sK6 @ X1)) = $true)) )),
% 2.29/0.66 inference(beta_eta_normalization,[],[f263])).
% 2.29/0.66 thf(f263,plain,(
% 2.29/0.66 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((sK6 @ Y0) => (sK1 @ sK6 @ Y0))) @ X1) = $true)) )),
% 2.29/0.66 inference(pi_clausification,[],[f239])).
% 2.29/0.66 % SZS output end Proof for Vampire---4
% 2.29/0.66 % (18205)------------------------------
% 2.29/0.66 % (18205)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.29/0.66 % (18205)Termination reason: Refutation
% 2.29/0.66
% 2.29/0.66 % (18205)Memory used [KB]: 2430
% 2.29/0.66 % (18205)Time elapsed: 0.104 s
% 2.29/0.66 % (18205)Instructions burned: 218 (million)
% 2.29/0.66 % (18205)------------------------------
% 2.29/0.66 % (18205)------------------------------
% 2.29/0.66 % (18152)Success in time 0.333 s
% 2.29/0.66 % Vampire---4.8 exiting
%------------------------------------------------------------------------------