TSTP Solution File: LCL874^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL874^1 : TPTP v8.2.0. Bugfixed v5.0.0.
% 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 : Tue May 21 00:23:34 EDT 2024
% Result : Theorem 2.94s 0.81s
% Output : Refutation 2.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL874^1 : TPTP v8.2.0. Bugfixed v5.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 02:01:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_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/benchmark/theBenchmark.p
% 0.15/0.39 % (7309)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.39 % (7309)Instruction limit reached!
% 0.15/0.39 % (7309)------------------------------
% 0.15/0.39 % (7309)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (7309)Termination reason: Unknown
% 0.15/0.39 % (7309)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (7309)Memory used [KB]: 1023
% 0.15/0.39 % (7309)Time elapsed: 0.003 s
% 0.15/0.39 % (7309)Instructions burned: 3 (million)
% 0.15/0.39 % (7309)------------------------------
% 0.15/0.39 % (7309)------------------------------
% 0.15/0.39 % (7306)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.39 % (7307)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 theBenchmark for (2999ds/4Mi)
% 0.15/0.39 % (7308)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 theBenchmark for (2999ds/27Mi)
% 0.15/0.39 % (7313)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.40 % (7310)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.40 % (7311)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.15/0.40 % (7312)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.40 % (7313)Instruction limit reached!
% 0.15/0.40 % (7313)------------------------------
% 0.15/0.40 % (7313)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (7313)Termination reason: Unknown
% 0.15/0.40 % (7313)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (7313)Memory used [KB]: 1023
% 0.15/0.40 % (7313)Time elapsed: 0.004 s
% 0.15/0.40 % (7313)Instructions burned: 3 (million)
% 0.15/0.40 % (7313)------------------------------
% 0.15/0.40 % (7313)------------------------------
% 0.15/0.40 % (7310)Instruction limit reached!
% 0.15/0.40 % (7310)------------------------------
% 0.15/0.40 % (7310)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (7310)Termination reason: Unknown
% 0.15/0.40 % (7310)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (7310)Memory used [KB]: 1023
% 0.15/0.40 % (7310)Time elapsed: 0.004 s
% 0.15/0.40 % (7310)Instructions burned: 3 (million)
% 0.15/0.40 % (7310)------------------------------
% 0.15/0.40 % (7310)------------------------------
% 0.15/0.40 % (7307)Instruction limit reached!
% 0.15/0.40 % (7307)------------------------------
% 0.15/0.40 % (7307)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (7307)Termination reason: Unknown
% 0.15/0.40 % (7307)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (7307)Memory used [KB]: 1023
% 0.15/0.40 % (7307)Time elapsed: 0.006 s
% 0.15/0.40 % (7307)Instructions burned: 4 (million)
% 0.15/0.40 % (7307)------------------------------
% 0.15/0.40 % (7307)------------------------------
% 0.15/0.40 % (7314)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 theBenchmark for (2999ds/37Mi)
% 0.15/0.40 % (7311)Refutation not found, incomplete strategy
% 0.15/0.40 % (7311)------------------------------
% 0.15/0.40 % (7311)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (7311)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.40
% 0.15/0.40
% 0.15/0.40 % (7311)Memory used [KB]: 5628
% 0.15/0.40 % (7311)Time elapsed: 0.009 s
% 0.15/0.40 % (7311)Instructions burned: 8 (million)
% 0.15/0.40 % (7311)------------------------------
% 0.15/0.40 % (7311)------------------------------
% 0.15/0.41 % (7312)Instruction limit reached!
% 0.15/0.41 % (7312)------------------------------
% 0.15/0.41 % (7312)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (7312)Termination reason: Unknown
% 0.15/0.41 % (7312)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (7312)Memory used [KB]: 5628
% 0.15/0.41 % (7312)Time elapsed: 0.014 s
% 0.15/0.41 % (7312)Instructions burned: 18 (million)
% 0.15/0.41 % (7312)------------------------------
% 0.15/0.41 % (7312)------------------------------
% 0.22/0.41 % (7315)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 theBenchmark for (2999ds/15Mi)
% 0.22/0.41 % (7308)Instruction limit reached!
% 0.22/0.41 % (7308)------------------------------
% 0.22/0.41 % (7308)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (7308)Termination reason: Unknown
% 0.22/0.41 % (7308)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (7308)Memory used [KB]: 5756
% 0.22/0.41 % (7308)Time elapsed: 0.021 s
% 0.22/0.41 % (7308)Instructions burned: 28 (million)
% 0.22/0.41 % (7308)------------------------------
% 0.22/0.41 % (7308)------------------------------
% 0.22/0.41 % (7316)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41 % (7317)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 theBenchmark for (2999ds/1041Mi)
% 0.22/0.41 % (7316)Instruction limit reached!
% 0.22/0.41 % (7316)------------------------------
% 0.22/0.41 % (7316)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (7316)Termination reason: Unknown
% 0.22/0.41 % (7316)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (7316)Memory used [KB]: 1023
% 0.22/0.41 % (7316)Time elapsed: 0.003 s
% 0.22/0.41 % (7316)Instructions burned: 3 (million)
% 0.22/0.41 % (7316)------------------------------
% 0.22/0.41 % (7316)------------------------------
% 0.22/0.42 % (7318)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.42 % (7315)Refutation not found, incomplete strategy
% 0.22/0.42 % (7315)------------------------------
% 0.22/0.42 % (7315)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (7315)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 % (7315)Memory used [KB]: 5628
% 0.22/0.42 % (7315)Time elapsed: 0.008 s
% 0.22/0.42 % (7315)Instructions burned: 14 (million)
% 0.22/0.42 % (7315)------------------------------
% 0.22/0.42 % (7315)------------------------------
% 0.22/0.42 % (7314)Instruction limit reached!
% 0.22/0.42 % (7314)------------------------------
% 0.22/0.42 % (7314)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (7314)Termination reason: Unknown
% 0.22/0.42 % (7314)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (7314)Memory used [KB]: 5884
% 0.22/0.42 % (7314)Time elapsed: 0.022 s
% 0.22/0.42 % (7314)Instructions burned: 38 (million)
% 0.22/0.42 % (7314)------------------------------
% 0.22/0.42 % (7314)------------------------------
% 0.22/0.42 % (7319)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.42 % (7318)Instruction limit reached!
% 0.22/0.42 % (7318)------------------------------
% 0.22/0.42 % (7318)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (7318)Termination reason: Unknown
% 0.22/0.42 % (7318)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (7318)Memory used [KB]: 1023
% 0.22/0.42 % (7318)Time elapsed: 0.005 s
% 0.22/0.42 % (7318)Instructions burned: 8 (million)
% 0.22/0.42 % (7318)------------------------------
% 0.22/0.42 % (7318)------------------------------
% 0.22/0.43 % (7320)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 theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (7320)Instruction limit reached!
% 0.22/0.43 % (7320)------------------------------
% 0.22/0.43 % (7320)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (7320)Termination reason: Unknown
% 0.22/0.43 % (7320)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (7320)Memory used [KB]: 1023
% 0.22/0.43 % (7320)Time elapsed: 0.003 s
% 0.22/0.43 % (7320)Instructions burned: 3 (million)
% 0.22/0.43 % (7320)------------------------------
% 0.22/0.43 % (7320)------------------------------
% 0.22/0.43 % (7321)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 theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (7319)Instruction limit reached!
% 0.22/0.43 % (7319)------------------------------
% 0.22/0.43 % (7319)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (7319)Termination reason: Unknown
% 0.22/0.43 % (7319)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (7319)Memory used [KB]: 5628
% 0.22/0.43 % (7319)Time elapsed: 0.009 s
% 0.22/0.43 % (7319)Instructions burned: 16 (million)
% 0.22/0.43 % (7319)------------------------------
% 0.22/0.43 % (7319)------------------------------
% 0.22/0.43 % (7321)Instruction limit reached!
% 0.22/0.43 % (7321)------------------------------
% 0.22/0.43 % (7321)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (7321)Termination reason: Unknown
% 0.22/0.43 % (7321)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (7321)Memory used [KB]: 1023
% 0.22/0.43 % (7321)Time elapsed: 0.003 s
% 0.22/0.43 % (7321)Instructions burned: 3 (million)
% 0.22/0.43 % (7321)------------------------------
% 0.22/0.43 % (7321)------------------------------
% 0.22/0.44 % (7322)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.44 % (7323)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (7324)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.44 % (7323)Instruction limit reached!
% 0.22/0.44 % (7323)------------------------------
% 0.22/0.44 % (7323)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (7323)Termination reason: Unknown
% 0.22/0.44 % (7323)Termination phase: Property scanning
% 0.22/0.44
% 0.22/0.44 % (7323)Memory used [KB]: 1023
% 0.22/0.44 % (7323)Time elapsed: 0.004 s
% 0.22/0.44 % (7323)Instructions burned: 5 (million)
% 0.22/0.44 % (7323)------------------------------
% 0.22/0.44 % (7323)------------------------------
% 0.22/0.44 % (7322)Instruction limit reached!
% 0.22/0.44 % (7322)------------------------------
% 0.22/0.44 % (7322)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (7322)Termination reason: Unknown
% 0.22/0.44 % (7322)Termination phase: Function definition elimination
% 0.22/0.44
% 0.22/0.44 % (7322)Memory used [KB]: 1023
% 0.22/0.44 % (7322)Time elapsed: 0.006 s
% 0.22/0.44 % (7322)Instructions burned: 9 (million)
% 0.22/0.44 % (7322)------------------------------
% 0.22/0.44 % (7322)------------------------------
% 0.22/0.44 % (7324)Instruction limit reached!
% 0.22/0.44 % (7324)------------------------------
% 0.22/0.44 % (7324)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (7324)Termination reason: Unknown
% 0.22/0.44 % (7324)Termination phase: Property scanning
% 0.22/0.44
% 0.22/0.44 % (7324)Memory used [KB]: 1023
% 0.22/0.44 % (7324)Time elapsed: 0.004 s
% 0.22/0.44 % (7324)Instructions burned: 4 (million)
% 0.22/0.44 % (7324)------------------------------
% 0.22/0.44 % (7324)------------------------------
% 0.22/0.44 % (7325)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.44 % (7326)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.44 % (7327)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.45 % (7327)Instruction limit reached!
% 0.22/0.45 % (7327)------------------------------
% 0.22/0.45 % (7327)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (7327)Termination reason: Unknown
% 0.22/0.45 % (7327)Termination phase: Property scanning
% 0.22/0.45
% 0.22/0.45 % (7327)Memory used [KB]: 1023
% 0.22/0.45 % (7327)Time elapsed: 0.005 s
% 0.22/0.45 % (7327)Instructions burned: 7 (million)
% 0.22/0.45 % (7327)------------------------------
% 0.22/0.45 % (7327)------------------------------
% 0.22/0.45 % (7328)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 theBenchmark for (2999ds/902Mi)
% 0.22/0.45 % (7325)Instruction limit reached!
% 0.22/0.45 % (7325)------------------------------
% 0.22/0.45 % (7325)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (7325)Termination reason: Unknown
% 0.22/0.45 % (7325)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (7325)Memory used [KB]: 5628
% 0.22/0.45 % (7325)Time elapsed: 0.012 s
% 0.22/0.45 % (7325)Instructions burned: 18 (million)
% 0.22/0.45 % (7325)------------------------------
% 0.22/0.45 % (7325)------------------------------
% 0.22/0.45 % (7329)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 theBenchmark for (2999ds/21Mi)
% 0.22/0.45 % (7330)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.46 % (7330)Instruction limit reached!
% 0.22/0.46 % (7330)------------------------------
% 0.22/0.46 % (7330)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (7330)Termination reason: Unknown
% 0.22/0.46 % (7330)Termination phase: Property scanning
% 0.22/0.46
% 0.22/0.46 % (7330)Memory used [KB]: 1023
% 0.22/0.46 % (7330)Time elapsed: 0.004 s
% 0.22/0.46 % (7330)Instructions burned: 5 (million)
% 0.22/0.46 % (7330)------------------------------
% 0.22/0.46 % (7330)------------------------------
% 0.22/0.46 % (7328)Refutation not found, incomplete strategy
% 0.22/0.46 % (7328)------------------------------
% 0.22/0.46 % (7328)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (7328)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 % (7328)Memory used [KB]: 5628
% 0.22/0.46 % (7328)Time elapsed: 0.007 s
% 0.22/0.46 % (7328)Instructions burned: 8 (million)
% 0.22/0.46 % (7328)------------------------------
% 0.22/0.46 % (7328)------------------------------
% 0.22/0.46 % (7331)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 theBenchmark for (2999ds/6Mi)
% 0.22/0.46 % (7329)Instruction limit reached!
% 0.22/0.46 % (7329)------------------------------
% 0.22/0.46 % (7329)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (7329)Termination reason: Unknown
% 0.22/0.46 % (7329)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (7329)Memory used [KB]: 5628
% 0.22/0.46 % (7329)Time elapsed: 0.013 s
% 0.22/0.46 % (7329)Instructions burned: 21 (million)
% 0.22/0.46 % (7329)------------------------------
% 0.22/0.46 % (7329)------------------------------
% 0.22/0.47 % (7331)Instruction limit reached!
% 0.22/0.47 % (7331)------------------------------
% 0.22/0.47 % (7331)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (7331)Termination reason: Unknown
% 0.22/0.47 % (7331)Termination phase: Function definition elimination
% 0.22/0.47
% 0.22/0.47 % (7331)Memory used [KB]: 1023
% 0.22/0.47 % (7331)Time elapsed: 0.005 s
% 0.22/0.47 % (7331)Instructions burned: 7 (million)
% 0.22/0.47 % (7331)------------------------------
% 0.22/0.47 % (7331)------------------------------
% 0.22/0.47 % (7332)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.47 % (7333)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 theBenchmark for (2999ds/779Mi)
% 0.22/0.47 % (7334)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 theBenchmark for (2999ds/19Mi)
% 0.22/0.48 % (7334)Refutation not found, incomplete strategy
% 0.22/0.48 % (7334)------------------------------
% 0.22/0.48 % (7334)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (7334)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 % (7334)Memory used [KB]: 5628
% 0.22/0.48 % (7334)Time elapsed: 0.006 s
% 0.22/0.48 % (7334)Instructions burned: 8 (million)
% 0.22/0.48 % (7334)------------------------------
% 0.22/0.48 % (7334)------------------------------
% 0.22/0.48 % (7335)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.22/0.48 % (7336)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.22/0.49 % (7336)Instruction limit reached!
% 0.22/0.49 % (7336)------------------------------
% 0.22/0.49 % (7336)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (7336)Termination reason: Unknown
% 0.22/0.49 % (7336)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (7336)Memory used [KB]: 5628
% 0.22/0.49 % (7336)Time elapsed: 0.010 s
% 0.22/0.49 % (7336)Instructions burned: 17 (million)
% 0.22/0.49 % (7336)------------------------------
% 0.22/0.49 % (7336)------------------------------
% 0.22/0.49 % (7337)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.49 % (7337)Instruction limit reached!
% 0.22/0.49 % (7337)------------------------------
% 0.22/0.49 % (7337)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (7337)Termination reason: Unknown
% 0.22/0.49 % (7337)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (7337)Memory used [KB]: 1023
% 0.22/0.49 % (7337)Time elapsed: 0.004 s
% 0.22/0.49 % (7337)Instructions burned: 4 (million)
% 0.22/0.49 % (7337)------------------------------
% 0.22/0.49 % (7337)------------------------------
% 0.22/0.50 % (7306)Instruction limit reached!
% 0.22/0.50 % (7306)------------------------------
% 0.22/0.50 % (7306)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (7306)Termination reason: Unknown
% 0.22/0.50 % (7306)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (7306)Memory used [KB]: 6524
% 0.22/0.50 % (7306)Time elapsed: 0.108 s
% 0.22/0.50 % (7306)Instructions burned: 184 (million)
% 0.22/0.50 % (7306)------------------------------
% 0.22/0.50 % (7306)------------------------------
% 0.22/0.50 % (7338)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.51 % (7339)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.22/0.51 % (7340)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.22/0.52 % (7338)Instruction limit reached!
% 0.22/0.52 % (7338)------------------------------
% 0.22/0.52 % (7338)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (7338)Termination reason: Unknown
% 0.22/0.52 % (7338)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (7338)Memory used [KB]: 5756
% 0.22/0.52 % (7338)Time elapsed: 0.043 s
% 0.22/0.52 % (7338)Instructions burned: 31 (million)
% 0.22/0.52 % (7338)------------------------------
% 0.22/0.52 % (7338)------------------------------
% 0.22/0.53 % (7341)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 theBenchmark for (2998ds/3Mi)
% 0.22/0.54 % (7341)Instruction limit reached!
% 0.22/0.54 % (7341)------------------------------
% 0.22/0.54 % (7341)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54 % (7341)Termination reason: Unknown
% 0.22/0.54 % (7341)Termination phase: shuffling
% 0.22/0.54
% 0.22/0.54 % (7341)Memory used [KB]: 1023
% 0.22/0.54 % (7341)Time elapsed: 0.004 s
% 0.22/0.54 % (7341)Instructions burned: 4 (million)
% 0.22/0.54 % (7341)------------------------------
% 0.22/0.54 % (7341)------------------------------
% 0.22/0.55 % (7342)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 theBenchmark for (2998ds/20Mi)
% 0.22/0.56 % (7342)Refutation not found, incomplete strategy
% 0.22/0.56 % (7342)------------------------------
% 0.22/0.56 % (7342)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.56 % (7342)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.56
% 0.22/0.56
% 0.22/0.56 % (7342)Memory used [KB]: 5628
% 0.22/0.56 % (7342)Time elapsed: 0.008 s
% 0.22/0.56 % (7342)Instructions burned: 9 (million)
% 0.22/0.56 % (7342)------------------------------
% 0.22/0.56 % (7342)------------------------------
% 0.22/0.57 % (7340)Instruction limit reached!
% 0.22/0.57 % (7340)------------------------------
% 0.22/0.57 % (7340)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.57 % (7340)Termination reason: Unknown
% 0.22/0.57 % (7340)Termination phase: Saturation
% 0.22/0.57
% 0.22/0.57 % (7340)Memory used [KB]: 6012
% 0.22/0.57 % (7340)Time elapsed: 0.057 s
% 0.22/0.57 % (7340)Instructions burned: 100 (million)
% 0.22/0.57 % (7340)------------------------------
% 0.22/0.57 % (7340)------------------------------
% 0.22/0.57 % (7343)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 theBenchmark for (2998ds/86Mi)
% 0.22/0.57 % (7339)Instruction limit reached!
% 0.22/0.57 % (7339)------------------------------
% 0.22/0.57 % (7339)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.57 % (7339)Termination reason: Unknown
% 0.22/0.57 % (7339)Termination phase: Saturation
% 0.22/0.57
% 0.22/0.57 % (7339)Memory used [KB]: 6012
% 0.22/0.57 % (7339)Time elapsed: 0.068 s
% 0.22/0.57 % (7339)Instructions burned: 127 (million)
% 0.22/0.57 % (7339)------------------------------
% 0.22/0.57 % (7339)------------------------------
% 0.22/0.58 % (7344)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 theBenchmark for (2997ds/107Mi)
% 0.22/0.59 % (7345)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 theBenchmark for (2997ds/39Mi)
% 0.22/0.61 % (7345)Instruction limit reached!
% 0.22/0.61 % (7345)------------------------------
% 0.22/0.61 % (7345)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.61 % (7345)Termination reason: Unknown
% 0.22/0.61 % (7345)Termination phase: Saturation
% 0.22/0.61
% 0.22/0.61 % (7345)Memory used [KB]: 5756
% 0.22/0.61 % (7345)Time elapsed: 0.024 s
% 0.22/0.61 % (7345)Instructions burned: 39 (million)
% 0.22/0.61 % (7345)------------------------------
% 0.22/0.61 % (7345)------------------------------
% 0.22/0.62 % (7343)Instruction limit reached!
% 0.22/0.62 % (7343)------------------------------
% 0.22/0.62 % (7343)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.62 % (7343)Termination reason: Unknown
% 1.97/0.62 % (7343)Termination phase: Saturation
% 1.97/0.62
% 1.97/0.62 % (7343)Memory used [KB]: 6140
% 1.97/0.62 % (7343)Time elapsed: 0.050 s
% 1.97/0.62 % (7343)Instructions burned: 87 (million)
% 1.97/0.62 % (7343)------------------------------
% 1.97/0.62 % (7343)------------------------------
% 1.97/0.63 % (7346)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 theBenchmark for (2997ds/448Mi)
% 1.97/0.63 % (7347)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 theBenchmark for (2997ds/46Mi)
% 2.24/0.64 % (7344)Instruction limit reached!
% 2.24/0.64 % (7344)------------------------------
% 2.24/0.64 % (7344)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.24/0.64 % (7344)Termination reason: Unknown
% 2.24/0.64 % (7344)Termination phase: Saturation
% 2.24/0.64
% 2.24/0.64 % (7344)Memory used [KB]: 5884
% 2.24/0.64 % (7344)Time elapsed: 0.060 s
% 2.24/0.64 % (7344)Instructions burned: 107 (million)
% 2.24/0.64 % (7344)------------------------------
% 2.24/0.64 % (7344)------------------------------
% 2.33/0.66 % (7348)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 theBenchmark for (2997ds/98Mi)
% 2.33/0.66 % (7347)Instruction limit reached!
% 2.33/0.66 % (7347)------------------------------
% 2.33/0.66 % (7347)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.33/0.66 % (7347)Termination reason: Unknown
% 2.33/0.66 % (7347)Termination phase: Saturation
% 2.33/0.66
% 2.33/0.66 % (7347)Memory used [KB]: 5884
% 2.33/0.66 % (7347)Time elapsed: 0.031 s
% 2.33/0.66 % (7347)Instructions burned: 47 (million)
% 2.33/0.66 % (7347)------------------------------
% 2.33/0.66 % (7347)------------------------------
% 2.33/0.66 % (7332)Instruction limit reached!
% 2.33/0.66 % (7332)------------------------------
% 2.33/0.66 % (7332)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.33/0.66 % (7332)Termination reason: Unknown
% 2.33/0.66 % (7332)Termination phase: Saturation
% 2.33/0.66
% 2.33/0.66 % (7332)Memory used [KB]: 6268
% 2.33/0.66 % (7332)Time elapsed: 0.220 s
% 2.33/0.66 % (7332)Instructions burned: 377 (million)
% 2.33/0.66 % (7332)------------------------------
% 2.33/0.66 % (7332)------------------------------
% 2.33/0.68 % (7349)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 theBenchmark for (2997ds/507Mi)
% 2.33/0.68 % (7350)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 theBenchmark for (2997ds/149Mi)
% 2.33/0.69 % (7349)Refutation not found, incomplete strategy
% 2.33/0.69 % (7349)------------------------------
% 2.33/0.69 % (7349)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.33/0.69 % (7349)Termination reason: Refutation not found, incomplete strategy
% 2.33/0.69
% 2.33/0.69
% 2.33/0.69 % (7349)Memory used [KB]: 5628
% 2.33/0.69 % (7349)Time elapsed: 0.009 s
% 2.33/0.69 % (7349)Instructions burned: 14 (million)
% 2.33/0.69 % (7349)------------------------------
% 2.33/0.69 % (7349)------------------------------
% 2.33/0.70 % (7351)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 2.33/0.71 % (7348)Instruction limit reached!
% 2.33/0.71 % (7348)------------------------------
% 2.33/0.71 % (7348)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.33/0.71 % (7348)Termination reason: Unknown
% 2.33/0.71 % (7348)Termination phase: Saturation
% 2.33/0.71
% 2.33/0.71 % (7348)Memory used [KB]: 1407
% 2.33/0.71 % (7348)Time elapsed: 0.054 s
% 2.33/0.71 % (7348)Instructions burned: 98 (million)
% 2.33/0.71 % (7348)------------------------------
% 2.33/0.71 % (7348)------------------------------
% 2.63/0.72 % (7351)Instruction limit reached!
% 2.63/0.72 % (7351)------------------------------
% 2.63/0.72 % (7351)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.63/0.72 % (7351)Termination reason: Unknown
% 2.63/0.72 % (7351)Termination phase: Saturation
% 2.63/0.72
% 2.63/0.72 % (7351)Memory used [KB]: 5756
% 2.63/0.72 % (7351)Time elapsed: 0.024 s
% 2.63/0.72 % (7351)Instructions burned: 40 (million)
% 2.63/0.72 % (7351)------------------------------
% 2.63/0.72 % (7351)------------------------------
% 2.63/0.72 % (7352)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 theBenchmark for (2996ds/6Mi)
% 2.63/0.73 % (7352)Instruction limit reached!
% 2.63/0.73 % (7352)------------------------------
% 2.63/0.73 % (7352)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.63/0.73 % (7352)Termination reason: Unknown
% 2.63/0.73 % (7352)Termination phase: Property scanning
% 2.63/0.73
% 2.63/0.73 % (7352)Memory used [KB]: 1023
% 2.63/0.73 % (7352)Time elapsed: 0.005 s
% 2.63/0.73 % (7352)Instructions burned: 6 (million)
% 2.63/0.73 % (7352)------------------------------
% 2.63/0.73 % (7352)------------------------------
% 2.63/0.74 % (7353)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 theBenchmark for (2996ds/1087Mi)
% 2.63/0.74 % (7354)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.63/0.74 % (7353)Refutation not found, incomplete strategy
% 2.63/0.74 % (7353)------------------------------
% 2.63/0.74 % (7353)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.63/0.74 % (7353)Termination reason: Refutation not found, incomplete strategy
% 2.63/0.74
% 2.63/0.74
% 2.63/0.74 % (7353)Memory used [KB]: 5628
% 2.63/0.74 % (7353)Time elapsed: 0.009 s
% 2.63/0.74 % (7353)Instructions burned: 13 (million)
% 2.63/0.74 % (7353)------------------------------
% 2.63/0.74 % (7353)------------------------------
% 2.94/0.76 % (7355)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 theBenchmark for (2996ds/44Mi)
% 2.94/0.76 % (7350)Instruction limit reached!
% 2.94/0.76 % (7350)------------------------------
% 2.94/0.76 % (7350)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.94/0.76 % (7350)Termination reason: Unknown
% 2.94/0.76 % (7350)Termination phase: Saturation
% 2.94/0.76
% 2.94/0.76 % (7350)Memory used [KB]: 6140
% 2.94/0.76 % (7350)Time elapsed: 0.083 s
% 2.94/0.76 % (7350)Instructions burned: 149 (million)
% 2.94/0.76 % (7350)------------------------------
% 2.94/0.76 % (7350)------------------------------
% 2.94/0.76 % (7354)Instruction limit reached!
% 2.94/0.76 % (7354)------------------------------
% 2.94/0.76 % (7354)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.94/0.76 % (7354)Termination reason: Unknown
% 2.94/0.76 % (7354)Termination phase: Saturation
% 2.94/0.76
% 2.94/0.76 % (7354)Memory used [KB]: 5756
% 2.94/0.76 % (7354)Time elapsed: 0.025 s
% 2.94/0.76 % (7354)Instructions burned: 47 (million)
% 2.94/0.76 % (7354)------------------------------
% 2.94/0.76 % (7354)------------------------------
% 2.94/0.78 % (7356)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 theBenchmark for (2996ds/432Mi)
% 2.94/0.78 % (7357)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2996ds/62Mi)
% 2.94/0.78 % (7355)Instruction limit reached!
% 2.94/0.78 % (7355)------------------------------
% 2.94/0.78 % (7355)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.94/0.78 % (7355)Termination reason: Unknown
% 2.94/0.78 % (7355)Termination phase: Saturation
% 2.94/0.78
% 2.94/0.78 % (7355)Memory used [KB]: 1407
% 2.94/0.78 % (7355)Time elapsed: 0.024 s
% 2.94/0.78 % (7355)Instructions burned: 45 (million)
% 2.94/0.78 % (7355)------------------------------
% 2.94/0.78 % (7355)------------------------------
% 2.94/0.80 % (7358)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 theBenchmark for (2995ds/31Mi)
% 2.94/0.80 % (7326)Instruction limit reached!
% 2.94/0.80 % (7326)------------------------------
% 2.94/0.80 % (7326)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.94/0.80 % (7326)Termination reason: Unknown
% 2.94/0.80 % (7326)Termination phase: Saturation
% 2.94/0.80
% 2.94/0.80 % (7326)Memory used [KB]: 7036
% 2.94/0.80 % (7326)Time elapsed: 0.356 s
% 2.94/0.80 % (7326)Instructions burned: 710 (million)
% 2.94/0.80 % (7326)------------------------------
% 2.94/0.80 % (7326)------------------------------
% 2.94/0.80 % (7335)First to succeed.
% 2.94/0.81 % (7335)Refutation found. Thanks to Tanya!
% 2.94/0.81 % SZS status Theorem for theBenchmark
% 2.94/0.81 % SZS output start Proof for theBenchmark
% 2.94/0.81 thf(type_def_5, type, mu: $tType).
% 2.94/0.81 thf(func_def_0, type, mu: $tType).
% 2.94/0.81 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 2.94/0.81 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 2.94/0.81 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 2.94/0.81 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 2.94/0.81 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 2.94/0.81 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 2.94/0.81 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 2.94/0.81 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 2.94/0.81 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 2.94/0.81 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 2.94/0.81 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 2.94/0.81 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 2.94/0.81 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 2.94/0.81 thf(func_def_15, type, mtrue: $i > $o).
% 2.94/0.81 thf(func_def_16, type, mfalse: $i > $o).
% 2.94/0.81 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 2.94/0.81 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 2.94/0.81 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 2.94/0.81 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 2.94/0.81 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 2.94/0.81 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 2.94/0.81 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 2.94/0.81 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 2.94/0.81 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 2.94/0.81 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 2.94/0.81 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 2.94/0.81 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 2.94/0.81 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 2.94/0.81 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 2.94/0.81 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 2.94/0.81 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 2.94/0.81 thf(func_def_33, type, rk: $i > $i > $o).
% 2.94/0.81 thf(func_def_34, type, rb: $i > $i > $o).
% 2.94/0.81 thf(func_def_51, type, sK1: $i > ($i > $o) > $i).
% 2.94/0.81 thf(func_def_53, type, sK3: $i > $o).
% 2.94/0.81 thf(func_def_55, type, sK5: $i > $i).
% 2.94/0.81 thf(func_def_56, type, sK6: $i > ($i > $o) > $i).
% 2.94/0.81 thf(func_def_57, type, ph7: !>[X0: $tType]:(X0)).
% 2.94/0.81 thf(f2409,plain,(
% 2.94/0.81 $false),
% 2.94/0.81 inference(avatar_sat_refutation,[],[f431,f523,f2408])).
% 2.94/0.81 thf(f2408,plain,(
% 2.94/0.81 spl0_6 | ~spl0_3),
% 2.94/0.81 inference(avatar_split_clause,[],[f2401,f420,f473])).
% 2.94/0.81 thf(f473,plain,(
% 2.94/0.81 spl0_6 <=> ! [X1] : (($true = (sK3 @ X1)) | ($false = (rk @ sK2 @ X1)))),
% 2.94/0.81 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 2.94/0.81 thf(f420,plain,(
% 2.94/0.81 spl0_3 <=> ! [X0,X1] : (((rk @ X0 @ X1) = $false) | ($true = (sK3 @ X1)) | ($false = (rb @ sK2 @ X0)))),
% 2.94/0.81 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 2.94/0.81 thf(f2401,plain,(
% 2.94/0.81 ( ! [X0 : $i] : (($false = (rk @ sK2 @ X0)) | ($true = (sK3 @ X0))) ) | ~spl0_3),
% 2.94/0.81 inference(trivial_inequality_removal,[],[f2395])).
% 2.94/0.81 thf(f2395,plain,(
% 2.94/0.81 ( ! [X0 : $i] : (($true = $false) | ($false = (rk @ sK2 @ X0)) | ($true = (sK3 @ X0))) ) | ~spl0_3),
% 2.94/0.81 inference(superposition,[],[f2389,f235])).
% 2.94/0.81 thf(f235,plain,(
% 2.94/0.81 ( ! [X1 : $i] : (($true = (rb @ X1 @ (sK5 @ X1)))) )),
% 2.94/0.81 inference(sigma_clausification,[],[f234])).
% 2.94/0.81 thf(f234,plain,(
% 2.94/0.81 ( ! [X1 : $i] : (($true = (?? @ $i @ (rb @ X1)))) )),
% 2.94/0.81 inference(beta_eta_normalization,[],[f233])).
% 2.94/0.81 thf(f233,plain,(
% 2.94/0.81 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (?? @ $i @ (rb @ Y0))) @ X1))) )),
% 2.94/0.81 inference(pi_clausification,[],[f232])).
% 2.94/0.81 thf(f232,plain,(
% 2.94/0.81 ($true = (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (rb @ Y0)))))),
% 2.94/0.81 inference(beta_eta_normalization,[],[f172])).
% 2.94/0.81 thf(f172,plain,(
% 2.94/0.81 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))) @ rb))),
% 2.94/0.81 inference(definition_unfolding,[],[f132,f133])).
% 2.94/0.81 thf(f133,plain,(
% 2.94/0.81 (mserial = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 2.94/0.81 inference(cnf_transformation,[],[f98])).
% 2.94/0.81 thf(f98,plain,(
% 2.94/0.81 (mserial = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 2.94/0.81 inference(fool_elimination,[],[f97])).
% 2.94/0.81 thf(f97,plain,(
% 2.94/0.81 (mserial = (^[X0 : $i > $i > $o] : (! [X1] : ? [X2] : (X0 @ X1 @ X2))))),
% 2.94/0.81 inference(rectify,[],[f20])).
% 2.94/0.81 thf(f20,axiom,(
% 2.94/0.81 (mserial = (^[X6 : $i > $i > $o] : (! [X8] : ? [X9] : (X6 @ X8 @ X9))))),
% 2.94/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mserial)).
% 2.94/0.81 thf(f132,plain,(
% 2.94/0.81 ((mserial @ rb) = $true)),
% 2.94/0.81 inference(cnf_transformation,[],[f90])).
% 2.94/0.81 thf(f90,plain,(
% 2.94/0.81 ((mserial @ rb) = $true)),
% 2.94/0.81 inference(fool_elimination,[],[f89])).
% 2.94/0.81 thf(f89,plain,(
% 2.94/0.81 (mserial @ rb)),
% 2.94/0.81 inference(rectify,[],[f33])).
% 2.94/0.81 thf(f33,axiom,(
% 2.94/0.81 (mserial @ rb)),
% 2.94/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)).
% 2.94/0.81 thf(f2389,plain,(
% 2.94/0.81 ( ! [X0 : $i,X1 : $i] : (((rb @ X0 @ (sK5 @ sK2)) = $false) | ($true = (sK3 @ X1)) | ((rk @ X0 @ X1) = $false)) ) | ~spl0_3),
% 2.94/0.81 inference(trivial_inequality_removal,[],[f2377])).
% 2.94/0.81 thf(f2377,plain,(
% 2.94/0.81 ( ! [X0 : $i,X1 : $i] : (((rb @ X0 @ (sK5 @ sK2)) = $false) | ((rk @ X0 @ X1) = $false) | ($true = (sK3 @ X1)) | ($true = $false)) ) | ~spl0_3),
% 2.94/0.81 inference(superposition,[],[f379,f2061])).
% 2.94/0.81 thf(f2061,plain,(
% 2.94/0.81 ( ! [X0 : $i,X1 : $i] : (($false = (rk @ X1 @ (sK5 @ sK2))) | ($false = (rk @ X1 @ X0)) | ($true = (sK3 @ X0))) ) | ~spl0_3),
% 2.94/0.81 inference(trivial_inequality_removal,[],[f2015])).
% 2.94/0.81 thf(f2015,plain,(
% 2.94/0.81 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ($true = (sK3 @ X0)) | ($false = (rk @ X1 @ (sK5 @ sK2))) | ($false = (rk @ X1 @ X0))) ) | ~spl0_3),
% 2.94/0.81 inference(superposition,[],[f470,f266])).
% 2.94/0.81 thf(f266,plain,(
% 2.94/0.81 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (rk @ X3 @ X1)) | ((rk @ X2 @ X1) = $false) | ((rk @ X2 @ X3) = $false)) )),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f265])).
% 2.94/0.81 thf(f265,plain,(
% 2.94/0.81 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (rk @ X3 @ X1)) | ($false = ((rk @ X2 @ X3) & (rk @ X2 @ X1)))) )),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f264])).
% 2.94/0.81 thf(f264,plain,(
% 2.94/0.81 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((rk @ X2 @ X3) & (rk @ X2 @ X1)) => (rk @ X3 @ X1)))) )),
% 2.94/0.81 inference(beta_eta_normalization,[],[f263])).
% 2.94/0.81 thf(f263,plain,(
% 2.94/0.81 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (((rk @ X2 @ Y0) & (rk @ X2 @ X1)) => (rk @ Y0 @ X1))) @ X3) = $true)) )),
% 2.94/0.81 inference(pi_clausification,[],[f262])).
% 2.94/0.81 thf(f262,plain,(
% 2.94/0.81 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((rk @ X2 @ Y0) & (rk @ X2 @ X1)) => (rk @ Y0 @ X1)))))) )),
% 2.94/0.81 inference(beta_eta_normalization,[],[f261])).
% 2.94/0.81 thf(f261,plain,(
% 2.94/0.81 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rk @ Y0 @ Y1) & (rk @ Y0 @ X1)) => (rk @ Y1 @ X1))))) @ X2))) )),
% 2.94/0.81 inference(pi_clausification,[],[f260])).
% 2.94/0.81 thf(f260,plain,(
% 2.94/0.81 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rk @ Y0 @ Y1) & (rk @ Y0 @ X1)) => (rk @ Y1 @ X1)))))))) )),
% 2.94/0.81 inference(beta_eta_normalization,[],[f259])).
% 2.94/0.81 thf(f259,plain,(
% 2.94/0.81 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rk @ Y1 @ Y2) & (rk @ Y1 @ Y0)) => (rk @ Y2 @ Y0))))))) @ X1))) )),
% 2.94/0.81 inference(pi_clausification,[],[f258])).
% 2.94/0.81 thf(f258,plain,(
% 2.94/0.81 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rk @ Y1 @ Y2) & (rk @ Y1 @ Y0)) => (rk @ Y2 @ Y0)))))))))),
% 2.94/0.81 inference(beta_eta_normalization,[],[f171])).
% 2.94/0.81 thf(f171,plain,(
% 2.94/0.81 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y3 @ Y1))))))))) @ rk))),
% 2.94/0.81 inference(definition_unfolding,[],[f129,f155])).
% 2.94/0.81 thf(f155,plain,(
% 2.94/0.81 (meuclidean = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y3 @ Y1))))))))))),
% 2.94/0.81 inference(cnf_transformation,[],[f60])).
% 2.94/0.81 thf(f60,plain,(
% 2.94/0.81 (meuclidean = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y3 @ Y1))))))))))),
% 2.94/0.81 inference(fool_elimination,[],[f59])).
% 2.94/0.81 thf(f59,plain,(
% 2.94/0.81 (meuclidean = (^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X2 @ X3) & (X0 @ X2 @ X1)) => (X0 @ X1 @ X3)))))),
% 2.94/0.81 inference(rectify,[],[f22])).
% 2.94/0.81 thf(f22,axiom,(
% 2.94/0.81 (meuclidean = (^[X6 : $i > $i > $o] : (! [X9,X8,X10] : (((X6 @ X8 @ X10) & (X6 @ X8 @ X9)) => (X6 @ X9 @ X10)))))),
% 2.94/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',meuclidean)).
% 2.94/0.81 thf(f129,plain,(
% 2.94/0.81 ((meuclidean @ rk) = $true)),
% 2.94/0.81 inference(cnf_transformation,[],[f48])).
% 2.94/0.81 thf(f48,plain,(
% 2.94/0.81 ((meuclidean @ rk) = $true)),
% 2.94/0.81 inference(fool_elimination,[],[f47])).
% 2.94/0.81 thf(f47,plain,(
% 2.94/0.81 (meuclidean @ rk)),
% 2.94/0.81 inference(rectify,[],[f36])).
% 2.94/0.81 thf(f36,axiom,(
% 2.94/0.81 (meuclidean @ rk)),
% 2.94/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)).
% 2.94/0.81 thf(f470,plain,(
% 2.94/0.81 ( ! [X0 : $i] : (((rk @ (sK5 @ sK2) @ X0) = $false) | ($true = (sK3 @ X0))) ) | ~spl0_3),
% 2.94/0.81 inference(trivial_inequality_removal,[],[f461])).
% 2.94/0.81 thf(f461,plain,(
% 2.94/0.81 ( ! [X0 : $i] : (($true = (sK3 @ X0)) | ($true = $false) | ((rk @ (sK5 @ sK2) @ X0) = $false)) ) | ~spl0_3),
% 2.94/0.81 inference(superposition,[],[f235,f421])).
% 2.94/0.81 thf(f421,plain,(
% 2.94/0.81 ( ! [X0 : $i,X1 : $i] : (($false = (rb @ sK2 @ X0)) | ($true = (sK3 @ X1)) | ((rk @ X0 @ X1) = $false)) ) | ~spl0_3),
% 2.94/0.81 inference(avatar_component_clause,[],[f420])).
% 2.94/0.81 thf(f379,plain,(
% 2.94/0.81 ( ! [X0 : $i,X1 : $i] : (($true = (rk @ X0 @ X1)) | ($false = (rb @ X0 @ X1))) )),
% 2.94/0.81 inference(trivial_inequality_removal,[],[f378])).
% 2.94/0.81 thf(f378,plain,(
% 2.94/0.81 ( ! [X0 : $i,X1 : $i] : (($false = (rb @ X0 @ X1)) | ($true != $true) | ($true = (rk @ X0 @ X1))) )),
% 2.94/0.81 inference(duplicate_literal_removal,[],[f374])).
% 2.94/0.81 thf(f374,plain,(
% 2.94/0.81 ( ! [X0 : $i,X1 : $i] : (($false = (rb @ X0 @ X1)) | ($true != $true) | ($false = (rb @ X0 @ X1)) | ($true = (rk @ X0 @ X1))) )),
% 2.94/0.81 inference(equality_factoring,[],[f297])).
% 2.94/0.81 thf(f297,plain,(
% 2.94/0.81 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (rk @ X0 @ X2)) | ($false = (rb @ X0 @ X1)) | ($false = (rb @ X0 @ X2)) | ($true = (rk @ X0 @ X1))) )),
% 2.94/0.81 inference(trivial_inequality_removal,[],[f293])).
% 2.94/0.81 thf(f293,plain,(
% 2.94/0.81 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (rb @ X0 @ X1)) | ($true = $false) | ($true = (rk @ X0 @ X2)) | ($false = (rb @ X0 @ X2)) | ($true = (rk @ X0 @ X1))) )),
% 2.94/0.81 inference(superposition,[],[f204,f205])).
% 2.94/0.81 thf(f205,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = (rk @ X1 @ (sK1 @ X1 @ X2))) | ($true = (X2 @ X3)) | ($false = (rb @ X1 @ X3))) )),
% 2.94/0.81 inference(not_proxy_clausification,[],[f203])).
% 2.94/0.81 thf(f203,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($false = (rb @ X1 @ X3)) | ((~ (rk @ X1 @ (sK1 @ X1 @ X2))) = $false) | ($true = (X2 @ X3))) )),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f202])).
% 2.94/0.81 thf(f202,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = (X2 @ X3)) | ($false = (rb @ X1 @ X3)) | ($false = ((X2 @ (sK1 @ X1 @ X2)) | (~ (rk @ X1 @ (sK1 @ X1 @ X2)))))) )),
% 2.94/0.81 inference(not_proxy_clausification,[],[f201])).
% 2.94/0.81 thf(f201,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = (X2 @ X3)) | ($true = (~ (rb @ X1 @ X3))) | ($false = ((X2 @ (sK1 @ X1 @ X2)) | (~ (rk @ X1 @ (sK1 @ X1 @ X2)))))) )),
% 2.94/0.81 inference(beta_eta_normalization,[],[f200])).
% 2.94/0.81 thf(f200,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = (~ (rb @ X1 @ X3))) | ($false = ((^[Y0 : $i]: ((X2 @ Y0) | (~ (rk @ X1 @ Y0)))) @ (sK1 @ X1 @ X2))) | ($true = (X2 @ X3))) )),
% 2.94/0.81 inference(sigma_clausification,[],[f199])).
% 2.94/0.81 thf(f199,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = (X2 @ X3)) | ((!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rk @ X1 @ Y0))))) = $false) | ($true = (~ (rb @ X1 @ X3)))) )),
% 2.94/0.81 inference(not_proxy_clausification,[],[f198])).
% 2.94/0.81 thf(f198,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = (X2 @ X3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rk @ X1 @ Y0)))))) = $true) | ($true = (~ (rb @ X1 @ X3)))) )),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f197])).
% 2.94/0.81 thf(f197,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = ((X2 @ X3) | (~ (rb @ X1 @ X3)))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rk @ X1 @ Y0)))))) = $true)) )),
% 2.94/0.81 inference(beta_eta_normalization,[],[f196])).
% 2.94/0.81 thf(f196,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((X2 @ Y0) | (~ (rb @ X1 @ Y0)))) @ X3)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rk @ X1 @ Y0)))))) = $true)) )),
% 2.94/0.81 inference(pi_clausification,[],[f195])).
% 2.94/0.81 thf(f195,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rb @ X1 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rk @ X1 @ Y0)))))) = $true)) )),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f194])).
% 2.94/0.81 thf(f194,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rb @ X1 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rk @ X1 @ Y0))))))))) )),
% 2.94/0.81 inference(beta_eta_normalization,[],[f193])).
% 2.94/0.81 thf(f193,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (rb @ X1 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (rk @ X1 @ Y1)))))))) @ X2))) )),
% 2.94/0.81 inference(pi_clausification,[],[f192])).
% 2.94/0.81 thf(f192,plain,(
% 2.94/0.81 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (rb @ X1 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (rk @ X1 @ Y1))))))))))) )),
% 2.94/0.81 inference(beta_eta_normalization,[],[f191])).
% 2.94/0.81 thf(f191,plain,(
% 2.94/0.81 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (rb @ Y0 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (rk @ Y0 @ Y2)))))))))) @ X1))) )),
% 2.94/0.81 inference(pi_clausification,[],[f190])).
% 2.94/0.81 thf(f190,plain,(
% 2.94/0.81 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (rb @ Y0 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (rk @ Y0 @ Y2))))))))))))),
% 2.94/0.81 inference(beta_eta_normalization,[],[f174])).
% 2.94/0.81 thf(f174,plain,(
% 2.94/0.81 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ rk @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ rb @ Y0))))))),
% 2.94/0.81 inference(definition_unfolding,[],[f138,f158,f143,f161,f125,f125])).
% 2.94/0.81 thf(f125,plain,(
% 2.94/0.81 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 2.94/0.81 inference(cnf_transformation,[],[f94])).
% 2.94/0.81 thf(f94,plain,(
% 2.94/0.81 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 2.94/0.81 inference(fool_elimination,[],[f93])).
% 2.94/0.81 thf(f93,plain,(
% 2.94/0.81 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))))),
% 2.94/0.81 inference(rectify,[],[f16])).
% 2.94/0.81 thf(f16,axiom,(
% 2.94/0.81 (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))))),
% 2.94/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 2.94/0.81 thf(f161,plain,(
% 2.94/0.81 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 2.94/0.81 inference(definition_unfolding,[],[f134,f130,f144])).
% 2.94/0.81 thf(f144,plain,(
% 2.94/0.81 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 2.94/0.81 inference(cnf_transformation,[],[f88])).
% 2.94/0.81 thf(f88,plain,(
% 2.94/0.81 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 2.94/0.81 inference(fool_elimination,[],[f87])).
% 2.94/0.81 thf(f87,plain,(
% 2.94/0.81 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 2.94/0.81 inference(rectify,[],[f3])).
% 2.94/0.81 thf(f3,axiom,(
% 2.94/0.81 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 2.94/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 2.94/0.81 thf(f130,plain,(
% 2.94/0.81 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 2.94/0.81 inference(cnf_transformation,[],[f56])).
% 2.94/0.81 thf(f56,plain,(
% 2.94/0.81 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 2.94/0.81 inference(fool_elimination,[],[f55])).
% 2.94/0.81 thf(f55,plain,(
% 2.94/0.81 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 2.94/0.81 inference(rectify,[],[f4])).
% 2.94/0.81 thf(f4,axiom,(
% 2.94/0.81 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
% 2.94/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 2.94/0.81 thf(f134,plain,(
% 2.94/0.81 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 2.94/0.81 inference(cnf_transformation,[],[f96])).
% 2.94/0.81 thf(f96,plain,(
% 2.94/0.81 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 2.94/0.81 inference(fool_elimination,[],[f95])).
% 2.94/0.81 thf(f95,plain,(
% 2.94/0.81 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 2.94/0.81 inference(rectify,[],[f6])).
% 2.94/0.81 thf(f6,axiom,(
% 2.94/0.81 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 2.94/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 2.94/0.81 thf(f143,plain,(
% 2.94/0.81 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 2.94/0.81 inference(cnf_transformation,[],[f78])).
% 2.94/0.81 thf(f78,plain,(
% 2.94/0.81 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 2.94/0.81 inference(fool_elimination,[],[f77])).
% 2.94/0.81 thf(f77,plain,(
% 2.94/0.81 ((^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))) = mforall_prop)),
% 2.94/0.81 inference(rectify,[],[f11])).
% 2.94/0.81 thf(f11,axiom,(
% 2.94/0.81 ((^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))) = mforall_prop)),
% 2.94/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_prop)).
% 2.94/0.81 thf(f158,plain,(
% 2.94/0.81 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 2.94/0.81 inference(cnf_transformation,[],[f66])).
% 2.94/0.81 thf(f66,plain,(
% 2.94/0.81 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 2.94/0.81 inference(fool_elimination,[],[f65])).
% 2.94/0.81 thf(f65,plain,(
% 2.94/0.81 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 2.94/0.81 inference(rectify,[],[f28])).
% 2.94/0.81 thf(f28,axiom,(
% 2.94/0.81 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 2.94/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 2.94/0.81 thf(f138,plain,(
% 2.94/0.81 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ rk @ Y0) @ (mbox @ rb @ Y0))))))),
% 2.94/0.81 inference(cnf_transformation,[],[f80])).
% 2.94/0.81 thf(f80,plain,(
% 2.94/0.81 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ rk @ Y0) @ (mbox @ rb @ Y0))))))),
% 2.94/0.81 inference(fool_elimination,[],[f79])).
% 2.94/0.81 thf(f79,plain,(
% 2.94/0.81 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ rk @ X0) @ (mbox @ rb @ X0)))))),
% 2.94/0.81 inference(rectify,[],[f38])).
% 2.94/0.81 thf(f38,axiom,(
% 2.94/0.81 (mvalid @ (mforall_prop @ (^[X11 : $i > $o] : (mimplies @ (mbox @ rk @ X11) @ (mbox @ rb @ X11)))))),
% 2.94/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7)).
% 2.94/0.81 thf(f204,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($false = (X2 @ (sK1 @ X1 @ X2))) | ($true = (X2 @ X3)) | ($false = (rb @ X1 @ X3))) )),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f202])).
% 2.94/0.81 thf(f523,plain,(
% 2.94/0.81 ~spl0_6),
% 2.94/0.81 inference(avatar_contradiction_clause,[],[f522])).
% 2.94/0.81 thf(f522,plain,(
% 2.94/0.81 $false | ~spl0_6),
% 2.94/0.81 inference(trivial_inequality_removal,[],[f521])).
% 2.94/0.81 thf(f521,plain,(
% 2.94/0.81 ($true = $false) | ~spl0_6),
% 2.94/0.81 inference(forward_demodulation,[],[f508,f225])).
% 2.94/0.81 thf(f225,plain,(
% 2.94/0.81 ((sK3 @ sK4) = $false)),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f223])).
% 2.94/0.81 thf(f223,plain,(
% 2.94/0.81 (((sK3 @ sK4) | (~ (rk @ sK2 @ sK4))) = $false)),
% 2.94/0.81 inference(beta_eta_normalization,[],[f222])).
% 2.94/0.81 thf(f222,plain,(
% 2.94/0.81 ($false = ((^[Y0 : $i]: ((sK3 @ Y0) | (~ (rk @ sK2 @ Y0)))) @ sK4))),
% 2.94/0.81 inference(sigma_clausification,[],[f221])).
% 2.94/0.81 thf(f221,plain,(
% 2.94/0.81 ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) | (~ (rk @ sK2 @ Y0))))) = $false)),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f219])).
% 2.94/0.81 thf(f219,plain,(
% 2.94/0.81 ($false = ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) | (~ (rk @ sK2 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) | (~ (rb @ sK2 @ Y0))))))))),
% 2.94/0.81 inference(beta_eta_normalization,[],[f218])).
% 2.94/0.81 thf(f218,plain,(
% 2.94/0.81 (((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (rk @ sK2 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (rb @ sK2 @ Y1)))))))) @ sK3) = $false)),
% 2.94/0.81 inference(sigma_clausification,[],[f217])).
% 2.94/0.81 thf(f217,plain,(
% 2.94/0.81 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (rk @ sK2 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (rb @ sK2 @ Y1))))))))))),
% 2.94/0.81 inference(beta_eta_normalization,[],[f216])).
% 2.94/0.81 thf(f216,plain,(
% 2.94/0.81 (((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (rk @ Y0 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (rb @ Y0 @ Y2)))))))))) @ sK2) = $false)),
% 2.94/0.81 inference(sigma_clausification,[],[f215])).
% 2.94/0.81 thf(f215,plain,(
% 2.94/0.81 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (rk @ Y0 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (rb @ Y0 @ Y2))))))))))))),
% 2.94/0.81 inference(beta_eta_normalization,[],[f177])).
% 2.94/0.81 thf(f177,plain,(
% 2.94/0.81 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ rb @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ rk @ Y0))))) != $true)),
% 2.94/0.81 inference(definition_unfolding,[],[f147,f158,f143,f161,f125,f125])).
% 2.94/0.81 thf(f147,plain,(
% 2.94/0.81 ($true != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ rb @ Y0) @ (mbox @ rk @ Y0))))))),
% 2.94/0.81 inference(cnf_transformation,[],[f119])).
% 2.94/0.81 thf(f119,plain,(
% 2.94/0.81 ($true != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ rb @ Y0) @ (mbox @ rk @ Y0))))))),
% 2.94/0.81 inference(flattening,[],[f54])).
% 2.94/0.81 thf(f54,plain,(
% 2.94/0.81 ~($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ rb @ Y0) @ (mbox @ rk @ Y0))))))),
% 2.94/0.81 inference(fool_elimination,[],[f53])).
% 2.94/0.81 thf(f53,plain,(
% 2.94/0.81 ~(mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ rb @ X0) @ (mbox @ rk @ X0)))))),
% 2.94/0.81 inference(rectify,[],[f41])).
% 2.94/0.81 thf(f41,negated_conjecture,(
% 2.94/0.81 ~(mvalid @ (mforall_prop @ (^[X11 : $i > $o] : (mimplies @ (mbox @ rb @ X11) @ (mbox @ rk @ X11)))))),
% 2.94/0.81 inference(negated_conjecture,[],[f40])).
% 2.94/0.81 thf(f40,conjecture,(
% 2.94/0.81 (mvalid @ (mforall_prop @ (^[X11 : $i > $o] : (mimplies @ (mbox @ rb @ X11) @ (mbox @ rk @ X11)))))),
% 2.94/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 2.94/0.81 thf(f508,plain,(
% 2.94/0.81 ($true = (sK3 @ sK4)) | ~spl0_6),
% 2.94/0.81 inference(trivial_inequality_removal,[],[f490])).
% 2.94/0.81 thf(f490,plain,(
% 2.94/0.81 ($true = (sK3 @ sK4)) | ($true = $false) | ~spl0_6),
% 2.94/0.81 inference(superposition,[],[f474,f226])).
% 2.94/0.81 thf(f226,plain,(
% 2.94/0.81 ($true = (rk @ sK2 @ sK4))),
% 2.94/0.81 inference(not_proxy_clausification,[],[f224])).
% 2.94/0.81 thf(f224,plain,(
% 2.94/0.81 ($false = (~ (rk @ sK2 @ sK4)))),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f223])).
% 2.94/0.81 thf(f474,plain,(
% 2.94/0.81 ( ! [X1 : $i] : (($false = (rk @ sK2 @ X1)) | ($true = (sK3 @ X1))) ) | ~spl0_6),
% 2.94/0.81 inference(avatar_component_clause,[],[f473])).
% 2.94/0.81 thf(f431,plain,(
% 2.94/0.81 spl0_3 | spl0_3),
% 2.94/0.81 inference(avatar_split_clause,[],[f416,f420,f420])).
% 2.94/0.81 thf(f416,plain,(
% 2.94/0.81 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK3 @ X1)) | ((rk @ X0 @ X1) = $false) | ($false = (rb @ sK2 @ X0)) | ((rk @ X2 @ X3) = $false) | ($true = (sK3 @ X3)) | ((rb @ sK2 @ X2) = $false)) )),
% 2.94/0.81 inference(trivial_inequality_removal,[],[f414])).
% 2.94/0.81 thf(f414,plain,(
% 2.94/0.81 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((rk @ X0 @ X1) = $false) | ($true = (sK3 @ X3)) | ((rb @ sK2 @ X2) = $false) | ((rk @ X2 @ X3) = $false) | ($false = (rb @ sK2 @ X0)) | ($true = $false) | ($true = (sK3 @ X1))) )),
% 2.94/0.81 inference(superposition,[],[f254,f332])).
% 2.94/0.81 thf(f332,plain,(
% 2.94/0.81 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (sK3 @ (sK6 @ sK2 @ X0))) | ((rk @ X1 @ X2) = $false) | ((rb @ sK2 @ X1) = $false) | ((X0 @ X2) = $true)) )),
% 2.94/0.81 inference(trivial_inequality_removal,[],[f324])).
% 2.94/0.81 thf(f324,plain,(
% 2.94/0.81 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (sK3 @ (sK6 @ sK2 @ X0))) | ((X0 @ X2) = $true) | ((rk @ X1 @ X2) = $false) | ((rb @ sK2 @ X1) = $false) | ($true = $false)) )),
% 2.94/0.81 inference(superposition,[],[f231,f257])).
% 2.94/0.81 thf(f257,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : (((rb @ X1 @ (sK6 @ X1 @ X2)) = $true) | ($false = (rk @ X3 @ X4)) | ($true = (X2 @ X4)) | ($false = (rb @ X1 @ X3))) )),
% 2.94/0.81 inference(not_proxy_clausification,[],[f256])).
% 2.94/0.81 thf(f256,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : (($true = (X2 @ X4)) | ((~ (rk @ X3 @ X4)) = $true) | ($false = (rb @ X1 @ X3)) | ((rb @ X1 @ (sK6 @ X1 @ X2)) = $true)) )),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f255])).
% 2.94/0.81 thf(f255,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : (((rb @ X1 @ (sK6 @ X1 @ X2)) = $true) | ($false = (rb @ X1 @ X3)) | ($true = ((X2 @ X4) | (~ (rk @ X3 @ X4))))) )),
% 2.94/0.81 inference(not_proxy_clausification,[],[f251])).
% 2.94/0.81 thf(f251,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : (($false = (~ (rb @ X1 @ (sK6 @ X1 @ X2)))) | ($false = (rb @ X1 @ X3)) | ($true = ((X2 @ X4) | (~ (rk @ X3 @ X4))))) )),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f250])).
% 2.94/0.81 thf(f250,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : (($false = (rb @ X1 @ X3)) | ($false = ((X2 @ (sK6 @ X1 @ X2)) | (~ (rb @ X1 @ (sK6 @ X1 @ X2))))) | ($true = ((X2 @ X4) | (~ (rk @ X3 @ X4))))) )),
% 2.94/0.81 inference(beta_eta_normalization,[],[f249])).
% 2.94/0.81 thf(f249,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : (($false = (rb @ X1 @ X3)) | ($true = ((^[Y0 : $i]: ((X2 @ Y0) | (~ (rk @ X3 @ Y0)))) @ X4)) | ($false = ((X2 @ (sK6 @ X1 @ X2)) | (~ (rb @ X1 @ (sK6 @ X1 @ X2)))))) )),
% 2.94/0.81 inference(pi_clausification,[],[f248])).
% 2.94/0.81 thf(f248,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($false = (rb @ X1 @ X3)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rk @ X3 @ Y0)))))) | ($false = ((X2 @ (sK6 @ X1 @ X2)) | (~ (rb @ X1 @ (sK6 @ X1 @ X2)))))) )),
% 2.94/0.81 inference(not_proxy_clausification,[],[f247])).
% 2.94/0.81 thf(f247,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = (~ (rb @ X1 @ X3))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rk @ X3 @ Y0)))))) | ($false = ((X2 @ (sK6 @ X1 @ X2)) | (~ (rb @ X1 @ (sK6 @ X1 @ X2)))))) )),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f246])).
% 2.94/0.81 thf(f246,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rk @ X3 @ Y0))))) | (~ (rb @ X1 @ X3)))) | ($false = ((X2 @ (sK6 @ X1 @ X2)) | (~ (rb @ X1 @ (sK6 @ X1 @ X2)))))) )),
% 2.94/0.81 inference(beta_eta_normalization,[],[f245])).
% 2.94/0.81 thf(f245,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rk @ X3 @ Y0))))) | (~ (rb @ X1 @ X3)))) | (((^[Y0 : $i]: ((X2 @ Y0) | (~ (rb @ X1 @ Y0)))) @ (sK6 @ X1 @ X2)) = $false)) )),
% 2.94/0.81 inference(sigma_clausification,[],[f244])).
% 2.94/0.81 thf(f244,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rb @ X1 @ Y0))))) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rk @ X3 @ Y0))))) | (~ (rb @ X1 @ X3))))) )),
% 2.94/0.81 inference(beta_eta_normalization,[],[f243])).
% 2.94/0.81 thf(f243,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((X2 @ Y1) | (~ (rk @ Y0 @ Y1))))) | (~ (rb @ X1 @ Y0)))) @ X3) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rb @ X1 @ Y0))))) = $false)) )),
% 2.94/0.81 inference(pi_clausification,[],[f242])).
% 2.94/0.81 thf(f242,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((X2 @ Y1) | (~ (rk @ Y0 @ Y1))))) | (~ (rb @ X1 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rb @ X1 @ Y0))))) = $false)) )),
% 2.94/0.81 inference(not_proxy_clausification,[],[f241])).
% 2.94/0.81 thf(f241,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rb @ X1 @ Y0))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((X2 @ Y1) | (~ (rk @ Y0 @ Y1))))) | (~ (rb @ X1 @ Y0))))))) )),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f240])).
% 2.94/0.81 thf(f240,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((X2 @ Y1) | (~ (rk @ Y0 @ Y1))))) | (~ (rb @ X1 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (rb @ X1 @ Y0))))))))) )),
% 2.94/0.81 inference(beta_eta_normalization,[],[f239])).
% 2.94/0.81 thf(f239,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rk @ Y1 @ Y2))))) | (~ (rb @ X1 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (rb @ X1 @ Y1)))))))) @ X2))) )),
% 2.94/0.81 inference(pi_clausification,[],[f238])).
% 2.94/0.81 thf(f238,plain,(
% 2.94/0.81 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rk @ Y1 @ Y2))))) | (~ (rb @ X1 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (rb @ X1 @ Y1))))))))))) )),
% 2.94/0.81 inference(beta_eta_normalization,[],[f237])).
% 2.94/0.81 thf(f237,plain,(
% 2.94/0.81 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rk @ Y2 @ Y3))))) | (~ (rb @ Y0 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (rb @ Y0 @ Y2)))))))))) @ X1))) )),
% 2.94/0.81 inference(pi_clausification,[],[f236])).
% 2.94/0.81 thf(f236,plain,(
% 2.94/0.81 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rk @ Y2 @ Y3))))) | (~ (rb @ Y0 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (rb @ Y0 @ Y2))))))))))))),
% 2.94/0.81 inference(beta_eta_normalization,[],[f175])).
% 2.94/0.81 thf(f175,plain,(
% 2.94/0.81 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ rb @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ rb @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ rk @ Y0)))))))),
% 2.94/0.81 inference(definition_unfolding,[],[f140,f158,f143,f161,f125,f125,f125])).
% 2.94/0.81 thf(f140,plain,(
% 2.94/0.81 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ rb @ Y0) @ (mbox @ rb @ (mbox @ rk @ Y0)))))))),
% 2.94/0.81 inference(cnf_transformation,[],[f72])).
% 2.94/0.81 thf(f72,plain,(
% 2.94/0.81 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ rb @ Y0) @ (mbox @ rb @ (mbox @ rk @ Y0)))))))),
% 2.94/0.81 inference(fool_elimination,[],[f71])).
% 2.94/0.81 thf(f71,plain,(
% 2.94/0.81 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ rb @ X0) @ (mbox @ rb @ (mbox @ rk @ X0))))))),
% 2.94/0.81 inference(rectify,[],[f39])).
% 2.94/0.81 thf(f39,axiom,(
% 2.94/0.81 (mvalid @ (mforall_prop @ (^[X11 : $i > $o] : (mimplies @ (mbox @ rb @ X11) @ (mbox @ rb @ (mbox @ rk @ X11))))))),
% 2.94/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8)).
% 2.94/0.81 thf(f231,plain,(
% 2.94/0.81 ( ! [X1 : $i] : (((rb @ sK2 @ X1) = $false) | ($true = (sK3 @ X1))) )),
% 2.94/0.81 inference(not_proxy_clausification,[],[f230])).
% 2.94/0.81 thf(f230,plain,(
% 2.94/0.81 ( ! [X1 : $i] : (($true = (~ (rb @ sK2 @ X1))) | ($true = (sK3 @ X1))) )),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f229])).
% 2.94/0.81 thf(f229,plain,(
% 2.94/0.81 ( ! [X1 : $i] : (($true = ((sK3 @ X1) | (~ (rb @ sK2 @ X1))))) )),
% 2.94/0.81 inference(beta_eta_normalization,[],[f228])).
% 2.94/0.81 thf(f228,plain,(
% 2.94/0.81 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((sK3 @ Y0) | (~ (rb @ sK2 @ Y0)))) @ X1))) )),
% 2.94/0.81 inference(pi_clausification,[],[f227])).
% 2.94/0.81 thf(f227,plain,(
% 2.94/0.81 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) | (~ (rb @ sK2 @ Y0))))))),
% 2.94/0.81 inference(not_proxy_clausification,[],[f220])).
% 2.94/0.81 thf(f220,plain,(
% 2.94/0.81 ((~ (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) | (~ (rb @ sK2 @ Y0)))))) = $false)),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f219])).
% 2.94/0.81 thf(f254,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : (($false = (X2 @ (sK6 @ X1 @ X2))) | ($false = (rb @ X1 @ X3)) | ($true = (X2 @ X4)) | ($false = (rk @ X3 @ X4))) )),
% 2.94/0.81 inference(not_proxy_clausification,[],[f253])).
% 2.94/0.81 thf(f253,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : (($false = (X2 @ (sK6 @ X1 @ X2))) | ((~ (rk @ X3 @ X4)) = $true) | ($false = (rb @ X1 @ X3)) | ($true = (X2 @ X4))) )),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f252])).
% 2.94/0.81 thf(f252,plain,(
% 2.94/0.81 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : (($false = (rb @ X1 @ X3)) | ($false = (X2 @ (sK6 @ X1 @ X2))) | ($true = ((X2 @ X4) | (~ (rk @ X3 @ X4))))) )),
% 2.94/0.81 inference(binary_proxy_clausification,[],[f250])).
% 2.94/0.81 % SZS output end Proof for theBenchmark
% 2.94/0.81 % (7335)------------------------------
% 2.94/0.81 % (7335)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.94/0.81 % (7335)Termination reason: Refutation
% 2.94/0.81
% 2.94/0.81 % (7335)Memory used [KB]: 6908
% 2.94/0.81 % (7335)Time elapsed: 0.348 s
% 2.94/0.81 % (7335)Instructions burned: 622 (million)
% 2.94/0.81 % (7335)------------------------------
% 2.94/0.81 % (7335)------------------------------
% 2.94/0.81 % (7305)Success in time 0.427 s
% 2.94/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------