TSTP Solution File: LCL879^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL879^1 : TPTP v8.2.0. Released v5.2.0.
% 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 : n027.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 00:23:36 EDT 2024
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL879^1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.14 % 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
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 03:14:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 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
% 0.14/0.38 % (14836)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)
% 0.14/0.38 % (14840)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)
% 0.14/0.38 % (14838)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (14837)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)
% 0.14/0.38 % (14839)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)
% 0.14/0.38 % (14839)Instruction limit reached!
% 0.14/0.38 % (14839)------------------------------
% 0.14/0.38 % (14839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (14839)Termination reason: Unknown
% 0.14/0.38 % (14839)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (14839)Memory used [KB]: 1023
% 0.14/0.38 % (14839)Time elapsed: 0.002 s
% 0.14/0.38 % (14841)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.38 % (14839)Instructions burned: 2 (million)
% 0.14/0.38 % (14839)------------------------------
% 0.14/0.38 % (14839)------------------------------
% 0.14/0.38 % (14838)Instruction limit reached!
% 0.14/0.38 % (14838)------------------------------
% 0.14/0.38 % (14838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (14838)Termination reason: Unknown
% 0.14/0.38 % (14838)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (14838)Memory used [KB]: 1023
% 0.14/0.38 % (14838)Time elapsed: 0.003 s
% 0.14/0.38 % (14838)Instructions burned: 3 (million)
% 0.14/0.38 % (14838)------------------------------
% 0.14/0.38 % (14838)------------------------------
% 0.14/0.38 % (14836)Instruction limit reached!
% 0.14/0.38 % (14836)------------------------------
% 0.14/0.38 % (14836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (14836)Termination reason: Unknown
% 0.14/0.38 % (14836)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (14836)Memory used [KB]: 1023
% 0.14/0.38 % (14836)Time elapsed: 0.004 s
% 0.14/0.38 % (14836)Instructions burned: 5 (million)
% 0.14/0.38 % (14836)------------------------------
% 0.14/0.38 % (14836)------------------------------
% 0.14/0.39 % (14842)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)
% 0.14/0.39 % (14842)Instruction limit reached!
% 0.14/0.39 % (14842)------------------------------
% 0.14/0.39 % (14842)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (14842)Termination reason: Unknown
% 0.14/0.39 % (14842)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (14842)Memory used [KB]: 1023
% 0.14/0.39 % (14842)Time elapsed: 0.004 s
% 0.14/0.39 % (14842)Instructions burned: 4 (million)
% 0.14/0.39 % (14842)------------------------------
% 0.14/0.39 % (14842)------------------------------
% 0.14/0.39 % (14835)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.39 % (14841)Instruction limit reached!
% 0.14/0.39 % (14841)------------------------------
% 0.14/0.39 % (14841)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (14841)Termination reason: Unknown
% 0.14/0.39 % (14841)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (14841)Memory used [KB]: 5628
% 0.14/0.39 % (14841)Time elapsed: 0.011 s
% 0.14/0.39 % (14841)Instructions burned: 18 (million)
% 0.14/0.39 % (14841)------------------------------
% 0.14/0.39 % (14841)------------------------------
% 0.14/0.40 % (14843)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)
% 0.14/0.40 % (14837)Instruction limit reached!
% 0.14/0.40 % (14837)------------------------------
% 0.14/0.40 % (14837)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (14837)Termination reason: Unknown
% 0.14/0.40 % (14837)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (14837)Memory used [KB]: 5756
% 0.14/0.40 % (14837)Time elapsed: 0.019 s
% 0.14/0.40 % (14837)Instructions burned: 28 (million)
% 0.14/0.40 % (14837)------------------------------
% 0.14/0.40 % (14837)------------------------------
% 0.14/0.40 % (14845)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)
% 0.14/0.40 % (14845)Instruction limit reached!
% 0.14/0.40 % (14845)------------------------------
% 0.14/0.40 % (14845)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (14845)Termination reason: Unknown
% 0.14/0.40 % (14845)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (14845)Memory used [KB]: 1023
% 0.14/0.40 % (14845)Time elapsed: 0.003 s
% 0.14/0.40 % (14845)Instructions burned: 3 (million)
% 0.14/0.40 % (14845)------------------------------
% 0.14/0.40 % (14845)------------------------------
% 0.14/0.40 % (14844)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)
% 0.21/0.40 % (14846)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)
% 0.21/0.41 % (14847)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (14847)Instruction limit reached!
% 0.21/0.41 % (14847)------------------------------
% 0.21/0.41 % (14847)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (14847)Termination reason: Unknown
% 0.21/0.41 % (14847)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (14847)Memory used [KB]: 1151
% 0.21/0.41 % (14847)Time elapsed: 0.006 s
% 0.21/0.41 % (14847)Instructions burned: 7 (million)
% 0.21/0.41 % (14847)------------------------------
% 0.21/0.41 % (14847)------------------------------
% 0.21/0.41 % (14844)Instruction limit reached!
% 0.21/0.41 % (14844)------------------------------
% 0.21/0.41 % (14844)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (14844)Termination reason: Unknown
% 0.21/0.41 % (14844)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (14844)Memory used [KB]: 5628
% 0.21/0.41 % (14844)Time elapsed: 0.011 s
% 0.21/0.41 % (14844)Instructions burned: 16 (million)
% 0.21/0.41 % (14844)------------------------------
% 0.21/0.41 % (14844)------------------------------
% 0.21/0.41 % (14848)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42 % (14849)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)
% 0.21/0.42 % (14843)Instruction limit reached!
% 0.21/0.42 % (14843)------------------------------
% 0.21/0.42 % (14843)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (14843)Termination reason: Unknown
% 0.21/0.42 % (14843)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (14843)Memory used [KB]: 5884
% 0.21/0.42 % (14843)Time elapsed: 0.023 s
% 0.21/0.42 % (14843)Instructions burned: 38 (million)
% 0.21/0.42 % (14843)------------------------------
% 0.21/0.42 % (14843)------------------------------
% 0.21/0.42 % (14849)Instruction limit reached!
% 0.21/0.42 % (14849)------------------------------
% 0.21/0.42 % (14849)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (14849)Termination reason: Unknown
% 0.21/0.42 % (14849)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (14849)Memory used [KB]: 1023
% 0.21/0.42 % (14849)Time elapsed: 0.004 s
% 0.21/0.42 % (14849)Instructions burned: 4 (million)
% 0.21/0.42 % (14849)------------------------------
% 0.21/0.42 % (14849)------------------------------
% 0.21/0.42 % (14848)Instruction limit reached!
% 0.21/0.42 % (14848)------------------------------
% 0.21/0.42 % (14848)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (14848)Termination reason: Unknown
% 0.21/0.42 % (14848)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (14848)Memory used [KB]: 5884
% 0.21/0.42 % (14848)Time elapsed: 0.012 s
% 0.21/0.42 % (14848)Instructions burned: 16 (million)
% 0.21/0.42 % (14848)------------------------------
% 0.21/0.42 % (14848)------------------------------
% 0.21/0.42 % (14850)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)
% 0.21/0.43 % (14850)Instruction limit reached!
% 0.21/0.43 % (14850)------------------------------
% 0.21/0.43 % (14850)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (14850)Termination reason: Unknown
% 0.21/0.43 % (14850)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (14850)Memory used [KB]: 1023
% 0.21/0.43 % (14850)Time elapsed: 0.004 s
% 0.21/0.43 % (14850)Instructions burned: 4 (million)
% 0.21/0.43 % (14850)------------------------------
% 0.21/0.43 % (14850)------------------------------
% 0.21/0.43 % (14851)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)
% 0.21/0.43 % (14851)Instruction limit reached!
% 0.21/0.43 % (14851)------------------------------
% 0.21/0.43 % (14851)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (14851)Termination reason: Unknown
% 0.21/0.43 % (14851)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (14851)Memory used [KB]: 1023
% 0.21/0.43 % (14851)Time elapsed: 0.006 s
% 0.21/0.43 % (14851)Instructions burned: 7 (million)
% 0.21/0.43 % (14851)------------------------------
% 0.21/0.43 % (14851)------------------------------
% 0.21/0.44 % (14852)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)
% 0.21/0.44 % (14852)Instruction limit reached!
% 0.21/0.44 % (14852)------------------------------
% 0.21/0.44 % (14852)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (14852)Termination reason: Unknown
% 0.21/0.44 % (14852)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (14852)Memory used [KB]: 1023
% 0.21/0.44 % (14852)Time elapsed: 0.003 s
% 0.21/0.44 % (14852)Instructions burned: 3 (million)
% 0.21/0.44 % (14852)------------------------------
% 0.21/0.44 % (14852)------------------------------
% 0.21/0.44 % (14853)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.44 % (14853)Instruction limit reached!
% 0.21/0.44 % (14853)------------------------------
% 0.21/0.44 % (14853)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (14853)Termination reason: Unknown
% 0.21/0.44 % (14853)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (14853)Memory used [KB]: 1023
% 0.21/0.44 % (14853)Time elapsed: 0.004 s
% 0.21/0.44 % (14853)Instructions burned: 4 (million)
% 0.21/0.44 % (14853)------------------------------
% 0.21/0.44 % (14853)------------------------------
% 0.21/0.44 % (14854)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)
% 0.21/0.44 % (14855)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.45 % (14856)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.45 % (14855)Refutation not found, incomplete strategy
% 0.21/0.45 % (14855)------------------------------
% 0.21/0.45 % (14855)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (14855)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % (14855)Memory used [KB]: 5628
% 0.21/0.45 % (14855)Time elapsed: 0.010 s
% 0.21/0.45 % (14855)Instructions burned: 14 (million)
% 0.21/0.45 % (14855)------------------------------
% 0.21/0.45 % (14855)------------------------------
% 0.21/0.45 % (14857)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)
% 0.21/0.45 % (14856)Instruction limit reached!
% 0.21/0.45 % (14856)------------------------------
% 0.21/0.45 % (14856)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (14854)Instruction limit reached!
% 0.21/0.45 % (14854)------------------------------
% 0.21/0.45 % (14854)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (14854)Termination reason: Unknown
% 0.21/0.45 % (14854)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (14854)Memory used [KB]: 5756
% 0.21/0.45 % (14854)Time elapsed: 0.014 s
% 0.21/0.45 % (14854)Instructions burned: 19 (million)
% 0.21/0.45 % (14854)------------------------------
% 0.21/0.45 % (14854)------------------------------
% 0.21/0.45 % (14856)Termination reason: Unknown
% 0.21/0.45 % (14856)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (14856)Memory used [KB]: 1023
% 0.21/0.45 % (14856)Time elapsed: 0.005 s
% 0.21/0.45 % (14856)Instructions burned: 6 (million)
% 0.21/0.45 % (14856)------------------------------
% 0.21/0.45 % (14856)------------------------------
% 0.21/0.46 % (14858)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)
% 0.21/0.46 % (14857)Refutation not found, incomplete strategy
% 0.21/0.46 % (14857)------------------------------
% 0.21/0.46 % (14857)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (14857)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 % (14857)Memory used [KB]: 5628
% 0.21/0.46 % (14857)Time elapsed: 0.008 s
% 0.21/0.46 % (14857)Instructions burned: 9 (million)
% 0.21/0.46 % (14857)------------------------------
% 0.21/0.46 % (14857)------------------------------
% 0.21/0.47 % (14860)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)
% 0.21/0.47 % (14859)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.47 % (14861)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.47 % (14858)Instruction limit reached!
% 0.21/0.47 % (14858)------------------------------
% 0.21/0.47 % (14858)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (14858)Termination reason: Unknown
% 0.21/0.47 % (14858)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (14858)Memory used [KB]: 5756
% 0.21/0.47 % (14858)Time elapsed: 0.015 s
% 0.21/0.47 % (14858)Instructions burned: 21 (million)
% 0.21/0.47 % (14858)------------------------------
% 0.21/0.47 % (14858)------------------------------
% 0.21/0.47 % (14862)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)
% 0.21/0.47 % (14860)Instruction limit reached!
% 0.21/0.47 % (14860)------------------------------
% 0.21/0.47 % (14860)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (14860)Termination reason: Unknown
% 0.21/0.47 % (14860)Termination phase: Property scanning
% 0.21/0.47
% 0.21/0.47 % (14860)Memory used [KB]: 1023
% 0.21/0.47 % (14860)Time elapsed: 0.006 s
% 0.21/0.47 % (14860)Instructions burned: 7 (million)
% 0.21/0.47 % (14860)------------------------------
% 0.21/0.47 % (14860)------------------------------
% 0.21/0.47 % (14859)Instruction limit reached!
% 0.21/0.47 % (14859)------------------------------
% 0.21/0.47 % (14859)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (14859)Termination reason: Unknown
% 0.21/0.47 % (14859)Termination phase: Property scanning
% 0.21/0.47
% 0.21/0.47 % (14859)Memory used [KB]: 1023
% 0.21/0.47 % (14859)Time elapsed: 0.007 s
% 0.21/0.47 % (14859)Instructions burned: 6 (million)
% 0.21/0.47 % (14859)------------------------------
% 0.21/0.47 % (14859)------------------------------
% 0.21/0.48 % (14840)First to succeed.
% 0.21/0.48 % (14864)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)
% 0.21/0.49 % (14865)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.21/0.49 % (14846)Also succeeded, but the first one will report.
% 0.21/0.49 % (14863)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)
% 0.21/0.49 % (14840)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% 0.21/0.49 thf(type_def_5, type, mu: $tType).
% 0.21/0.49 thf(func_def_0, type, mu: $tType).
% 0.21/0.49 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.21/0.49 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_15, type, mtrue: $i > $o).
% 0.21/0.49 thf(func_def_16, type, mfalse: $i > $o).
% 0.21/0.49 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.21/0.49 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.21/0.49 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.21/0.49 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.21/0.49 thf(func_def_48, type, sK0: $i > $i > $o).
% 0.21/0.49 thf(func_def_49, type, sK1: $i > $i > $o).
% 0.21/0.49 thf(func_def_55, type, sK7: $i > $o).
% 0.21/0.49 thf(func_def_59, type, sK11: $i > $o).
% 0.21/0.49 thf(func_def_62, type, sK14: $i > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_64, type, sK16: $i > $o).
% 0.21/0.49 thf(func_def_67, type, ph19: !>[X0: $tType]:(X0)).
% 0.21/0.49 thf(f1194,plain,(
% 0.21/0.49 $false),
% 0.21/0.49 inference(avatar_sat_refutation,[],[f212,f217,f222,f226,f233,f237,f246,f251,f256,f260,f269,f274,f279,f283,f310,f328,f365,f442,f495,f514,f572,f845,f862,f921,f977,f1129,f1166,f1193])).
% 0.21/0.49 thf(f1193,plain,(
% 0.21/0.49 ~spl5_9 | ~spl5_49),
% 0.21/0.49 inference(avatar_contradiction_clause,[],[f1192])).
% 0.21/0.49 thf(f1192,plain,(
% 0.21/0.49 $false | (~spl5_9 | ~spl5_49)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1188])).
% 0.21/0.49 thf(f1188,plain,(
% 0.21/0.49 ($true = $false) | (~spl5_9 | ~spl5_49)),
% 0.21/0.49 inference(superposition,[],[f565,f241])).
% 0.21/0.49 thf(f241,plain,(
% 0.21/0.49 ($true = (sK0 @ sK10 @ sK12)) | ~spl5_9),
% 0.21/0.49 inference(avatar_component_clause,[],[f239])).
% 0.21/0.49 thf(f239,plain,(
% 0.21/0.49 spl5_9 <=> ($true = (sK0 @ sK10 @ sK12))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_9])])).
% 0.21/0.49 thf(f565,plain,(
% 0.21/0.49 ((sK0 @ sK10 @ sK12) = $false) | ~spl5_49),
% 0.21/0.49 inference(avatar_component_clause,[],[f563])).
% 0.21/0.49 thf(f563,plain,(
% 0.21/0.49 spl5_49 <=> ((sK0 @ sK10 @ sK12) = $false)),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_49])])).
% 0.21/0.49 thf(f1166,plain,(
% 0.21/0.49 ~spl5_12 | ~spl5_50),
% 0.21/0.49 inference(avatar_contradiction_clause,[],[f1165])).
% 0.21/0.49 thf(f1165,plain,(
% 0.21/0.49 $false | (~spl5_12 | ~spl5_50)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1162])).
% 0.21/0.49 thf(f1162,plain,(
% 0.21/0.49 ($true = $false) | (~spl5_12 | ~spl5_50)),
% 0.21/0.49 inference(superposition,[],[f569,f255])).
% 0.21/0.49 thf(f255,plain,(
% 0.21/0.49 ($false = (sK11 @ sK13)) | ~spl5_12),
% 0.21/0.49 inference(avatar_component_clause,[],[f253])).
% 0.21/0.49 thf(f253,plain,(
% 0.21/0.49 spl5_12 <=> ($false = (sK11 @ sK13))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_12])])).
% 0.21/0.49 thf(f569,plain,(
% 0.21/0.49 ($true = (sK11 @ sK13)) | ~spl5_50),
% 0.21/0.49 inference(avatar_component_clause,[],[f567])).
% 0.21/0.49 thf(f567,plain,(
% 0.21/0.49 spl5_50 <=> ($true = (sK11 @ sK13))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_50])])).
% 0.21/0.49 thf(f1129,plain,(
% 0.21/0.49 ~spl5_2 | ~spl5_3 | ~spl5_4 | ~spl5_60),
% 0.21/0.49 inference(avatar_contradiction_clause,[],[f1128])).
% 0.21/0.49 thf(f1128,plain,(
% 0.21/0.49 $false | (~spl5_2 | ~spl5_3 | ~spl5_4 | ~spl5_60)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1124])).
% 0.21/0.49 thf(f1124,plain,(
% 0.21/0.49 ($true = $false) | (~spl5_2 | ~spl5_3 | ~spl5_4 | ~spl5_60)),
% 0.21/0.49 inference(superposition,[],[f1032,f211])).
% 0.21/0.49 thf(f211,plain,(
% 0.21/0.49 ($true = (sK0 @ sK15 @ sK17)) | ~spl5_2),
% 0.21/0.49 inference(avatar_component_clause,[],[f209])).
% 0.21/0.49 thf(f209,plain,(
% 0.21/0.49 spl5_2 <=> ($true = (sK0 @ sK15 @ sK17))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_2])])).
% 0.21/0.49 thf(f1032,plain,(
% 0.21/0.49 ((sK0 @ sK15 @ sK17) = $false) | (~spl5_3 | ~spl5_4 | ~spl5_60)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1031])).
% 0.21/0.49 thf(f1031,plain,(
% 0.21/0.49 ($true = $false) | ((sK0 @ sK15 @ sK17) = $false) | (~spl5_3 | ~spl5_4 | ~spl5_60)),
% 0.21/0.49 inference(forward_demodulation,[],[f1025,f221])).
% 0.21/0.49 thf(f221,plain,(
% 0.21/0.49 ((sK16 @ sK18) = $false) | ~spl5_4),
% 0.21/0.49 inference(avatar_component_clause,[],[f219])).
% 0.21/0.49 thf(f219,plain,(
% 0.21/0.49 spl5_4 <=> ((sK16 @ sK18) = $false)),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_4])])).
% 0.21/0.49 thf(f1025,plain,(
% 0.21/0.49 ((sK16 @ sK18) = $true) | ((sK0 @ sK15 @ sK17) = $false) | (~spl5_3 | ~spl5_60)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f996])).
% 0.21/0.49 thf(f996,plain,(
% 0.21/0.49 ((sK0 @ sK15 @ sK17) = $false) | ($true = $false) | ((sK16 @ sK18) = $true) | (~spl5_3 | ~spl5_60)),
% 0.21/0.49 inference(superposition,[],[f955,f216])).
% 0.21/0.49 thf(f216,plain,(
% 0.21/0.49 ($true = (sK1 @ sK17 @ sK18)) | ~spl5_3),
% 0.21/0.49 inference(avatar_component_clause,[],[f214])).
% 0.21/0.49 thf(f214,plain,(
% 0.21/0.49 spl5_3 <=> ($true = (sK1 @ sK17 @ sK18))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_3])])).
% 0.21/0.49 thf(f955,plain,(
% 0.21/0.49 ( ! [X3 : $i,X0 : $i] : (((sK1 @ X3 @ X0) = $false) | ((sK0 @ sK15 @ X3) = $false) | ((sK16 @ X0) = $true)) ) | ~spl5_60),
% 0.21/0.49 inference(avatar_component_clause,[],[f954])).
% 0.21/0.49 thf(f954,plain,(
% 0.21/0.49 spl5_60 <=> ! [X0,X3] : (((sK0 @ sK15 @ X3) = $false) | ((sK1 @ X3 @ X0) = $false) | ((sK16 @ X0) = $true))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_60])])).
% 0.21/0.49 thf(f977,plain,(
% 0.21/0.49 spl5_60 | spl5_60 | ~spl5_5 | ~spl5_6 | ~spl5_8),
% 0.21/0.49 inference(avatar_split_clause,[],[f976,f235,f228,f224,f954,f954])).
% 0.21/0.49 thf(f224,plain,(
% 0.21/0.49 spl5_5 <=> ! [X1] : (($true = (sK16 @ X1)) | ((sK1 @ sK15 @ X1) = $false))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_5])])).
% 0.21/0.49 thf(f228,plain,(
% 0.21/0.49 spl5_6 <=> ! [X10,X11,X9 : $i > $o,X8] : (($true = (sK1 @ X8 @ (sK14 @ X8 @ X9))) | ((sK0 @ X8 @ X10) = $false) | ($true = (X9 @ X11)) | ((sK1 @ X10 @ X11) = $false))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_6])])).
% 0.21/0.49 thf(f235,plain,(
% 0.21/0.49 spl5_8 <=> ! [X10,X11,X9 : $i > $o,X8] : (($true = (X9 @ X11)) | ((sK0 @ X8 @ X10) = $false) | ((sK1 @ X10 @ X11) = $false) | ((X9 @ (sK14 @ X8 @ X9)) = $false))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_8])])).
% 0.21/0.49 thf(f976,plain,(
% 0.21/0.49 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK1 @ X3 @ X2) = $false) | ((sK1 @ X0 @ X1) = $false) | ((sK0 @ sK15 @ X0) = $false) | ((sK0 @ sK15 @ X3) = $false) | ($true = (sK16 @ X1)) | ($true = (sK16 @ X2))) ) | (~spl5_5 | ~spl5_6 | ~spl5_8)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f968])).
% 0.21/0.49 thf(f968,plain,(
% 0.21/0.49 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ sK15 @ X3) = $false) | ((sK0 @ sK15 @ X0) = $false) | ($true = (sK16 @ X2)) | ((sK1 @ X3 @ X2) = $false) | ((sK1 @ X0 @ X1) = $false) | ($true = $false) | ($true = (sK16 @ X1))) ) | (~spl5_5 | ~spl5_6 | ~spl5_8)),
% 0.21/0.49 inference(superposition,[],[f945,f236])).
% 0.21/0.49 thf(f236,plain,(
% 0.21/0.49 ( ! [X10 : $i,X11 : $i,X8 : $i,X9 : $i > $o] : (((X9 @ (sK14 @ X8 @ X9)) = $false) | ($true = (X9 @ X11)) | ((sK1 @ X10 @ X11) = $false) | ((sK0 @ X8 @ X10) = $false)) ) | ~spl5_8),
% 0.21/0.49 inference(avatar_component_clause,[],[f235])).
% 0.21/0.49 thf(f945,plain,(
% 0.21/0.49 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (sK16 @ (sK14 @ sK15 @ X0))) | ((sK0 @ sK15 @ X2) = $false) | ($true = (X0 @ X1)) | ((sK1 @ X2 @ X1) = $false)) ) | (~spl5_5 | ~spl5_6)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f930])).
% 0.21/0.49 thf(f930,plain,(
% 0.21/0.49 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK1 @ X2 @ X1) = $false) | ($true = $false) | ($true = (sK16 @ (sK14 @ sK15 @ X0))) | ($true = (X0 @ X1)) | ((sK0 @ sK15 @ X2) = $false)) ) | (~spl5_5 | ~spl5_6)),
% 0.21/0.49 inference(superposition,[],[f229,f225])).
% 0.21/0.49 thf(f225,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (((sK1 @ sK15 @ X1) = $false) | ($true = (sK16 @ X1))) ) | ~spl5_5),
% 0.21/0.49 inference(avatar_component_clause,[],[f224])).
% 0.21/0.49 thf(f229,plain,(
% 0.21/0.49 ( ! [X10 : $i,X11 : $i,X8 : $i,X9 : $i > $o] : (($true = (sK1 @ X8 @ (sK14 @ X8 @ X9))) | ($true = (X9 @ X11)) | ((sK1 @ X10 @ X11) = $false) | ((sK0 @ X8 @ X10) = $false)) ) | ~spl5_6),
% 0.21/0.49 inference(avatar_component_clause,[],[f228])).
% 0.21/0.49 thf(f921,plain,(
% 0.21/0.49 ~spl5_1 | ~spl5_10 | ~spl5_56),
% 0.21/0.49 inference(avatar_contradiction_clause,[],[f920])).
% 0.21/0.49 thf(f920,plain,(
% 0.21/0.49 $false | (~spl5_1 | ~spl5_10 | ~spl5_56)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f917])).
% 0.21/0.49 thf(f917,plain,(
% 0.21/0.49 ($true = $false) | (~spl5_1 | ~spl5_10 | ~spl5_56)),
% 0.21/0.49 inference(superposition,[],[f207,f885])).
% 0.21/0.49 thf(f885,plain,(
% 0.21/0.49 ((sK0 @ sK3 @ sK2) = $false) | (~spl5_10 | ~spl5_56)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f878])).
% 0.21/0.49 thf(f878,plain,(
% 0.21/0.49 ((sK0 @ sK3 @ sK2) = $false) | ($true = $false) | (~spl5_10 | ~spl5_56)),
% 0.21/0.49 inference(superposition,[],[f245,f861])).
% 0.21/0.49 thf(f861,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (((sK1 @ X1 @ sK4) = $false) | ((sK0 @ sK3 @ X1) = $false)) ) | ~spl5_56),
% 0.21/0.49 inference(avatar_component_clause,[],[f860])).
% 0.21/0.49 thf(f860,plain,(
% 0.21/0.49 spl5_56 <=> ! [X1] : (((sK1 @ X1 @ sK4) = $false) | ((sK0 @ sK3 @ X1) = $false))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_56])])).
% 0.21/0.49 thf(f245,plain,(
% 0.21/0.49 ($true = (sK1 @ sK2 @ sK4)) | ~spl5_10),
% 0.21/0.49 inference(avatar_component_clause,[],[f243])).
% 0.21/0.49 thf(f243,plain,(
% 0.21/0.49 spl5_10 <=> ($true = (sK1 @ sK2 @ sK4))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_10])])).
% 0.21/0.49 thf(f207,plain,(
% 0.21/0.49 ((sK0 @ sK3 @ sK2) = $true) | ~spl5_1),
% 0.21/0.49 inference(avatar_component_clause,[],[f205])).
% 0.21/0.49 thf(f205,plain,(
% 0.21/0.49 spl5_1 <=> ((sK0 @ sK3 @ sK2) = $true)),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_1])])).
% 0.21/0.49 thf(f862,plain,(
% 0.21/0.49 spl5_56 | spl5_56 | ~spl5_6 | ~spl5_8 | spl5_15),
% 0.21/0.49 inference(avatar_split_clause,[],[f858,f266,f235,f228,f860,f860])).
% 0.21/0.49 thf(f266,plain,(
% 0.21/0.49 spl5_15 <=> ($true = (sK1 @ sK3 @ sK4))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_15])])).
% 0.21/0.49 thf(f858,plain,(
% 0.21/0.49 ( ! [X0 : $i,X1 : $i] : (((sK0 @ sK3 @ X0) = $false) | ((sK1 @ X1 @ sK4) = $false) | ((sK1 @ X0 @ sK4) = $false) | ((sK0 @ sK3 @ X1) = $false)) ) | (~spl5_6 | ~spl5_8 | spl5_15)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f853])).
% 0.21/0.49 thf(f853,plain,(
% 0.21/0.49 ( ! [X0 : $i,X1 : $i] : (((sK0 @ sK3 @ X1) = $false) | ((sK1 @ X0 @ sK4) = $false) | ((sK1 @ X1 @ sK4) = $false) | ($true != $true) | ((sK0 @ sK3 @ X0) = $false)) ) | (~spl5_6 | ~spl5_8 | spl5_15)),
% 0.21/0.49 inference(superposition,[],[f268,f636])).
% 0.21/0.49 thf(f636,plain,(
% 0.21/0.49 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK1 @ X0 @ X1)) | ((sK0 @ X0 @ X3) = $false) | ((sK1 @ X2 @ X1) = $false) | ((sK1 @ X3 @ X1) = $false) | ((sK0 @ X0 @ X2) = $false)) ) | (~spl5_6 | ~spl5_8)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f627])).
% 0.21/0.49 thf(f627,plain,(
% 0.21/0.49 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X0 @ X2) = $false) | ((sK1 @ X2 @ X1) = $false) | ((sK0 @ X0 @ X3) = $false) | ((sK1 @ X3 @ X1) = $false) | ($true = (sK1 @ X0 @ X1)) | ($true != $true)) ) | (~spl5_6 | ~spl5_8)),
% 0.21/0.49 inference(equality_factoring,[],[f475])).
% 0.21/0.49 thf(f475,plain,(
% 0.21/0.49 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (sK1 @ X0 @ X3)) | ((sK0 @ X0 @ X2) = $false) | ($true = (sK1 @ X0 @ X1)) | ((sK1 @ X4 @ X3) = $false) | ((sK0 @ X0 @ X4) = $false) | ((sK1 @ X2 @ X1) = $false)) ) | (~spl5_6 | ~spl5_8)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f467])).
% 0.21/0.49 thf(f467,plain,(
% 0.21/0.49 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((sK0 @ X0 @ X2) = $false) | ($true = (sK1 @ X0 @ X1)) | ($true = (sK1 @ X0 @ X3)) | ((sK1 @ X2 @ X1) = $false) | ((sK1 @ X4 @ X3) = $false) | ((sK0 @ X0 @ X4) = $false) | ($true = $false)) ) | (~spl5_6 | ~spl5_8)),
% 0.21/0.49 inference(superposition,[],[f236,f229])).
% 0.21/0.49 thf(f268,plain,(
% 0.21/0.49 ($true != (sK1 @ sK3 @ sK4)) | spl5_15),
% 0.21/0.49 inference(avatar_component_clause,[],[f266])).
% 0.21/0.49 thf(f845,plain,(
% 0.21/0.49 ~spl5_14 | ~spl5_16 | ~spl5_17 | ~spl5_42),
% 0.21/0.49 inference(avatar_contradiction_clause,[],[f844])).
% 0.21/0.49 thf(f844,plain,(
% 0.21/0.49 $false | (~spl5_14 | ~spl5_16 | ~spl5_17 | ~spl5_42)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f840])).
% 0.21/0.49 thf(f840,plain,(
% 0.21/0.49 ($true = $false) | (~spl5_14 | ~spl5_16 | ~spl5_17 | ~spl5_42)),
% 0.21/0.49 inference(superposition,[],[f727,f264])).
% 0.21/0.49 thf(f264,plain,(
% 0.21/0.49 ((sK0 @ sK6 @ sK8) = $true) | ~spl5_14),
% 0.21/0.49 inference(avatar_component_clause,[],[f262])).
% 0.21/0.49 thf(f262,plain,(
% 0.21/0.49 spl5_14 <=> ((sK0 @ sK6 @ sK8) = $true)),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_14])])).
% 0.21/0.49 thf(f727,plain,(
% 0.21/0.49 ((sK0 @ sK6 @ sK8) = $false) | (~spl5_16 | ~spl5_17 | ~spl5_42)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f726])).
% 0.21/0.49 thf(f726,plain,(
% 0.21/0.49 ((sK0 @ sK6 @ sK8) = $false) | ($true = $false) | (~spl5_16 | ~spl5_17 | ~spl5_42)),
% 0.21/0.49 inference(forward_demodulation,[],[f690,f278])).
% 0.21/0.49 thf(f278,plain,(
% 0.21/0.49 ((sK7 @ sK9) = $false) | ~spl5_17),
% 0.21/0.49 inference(avatar_component_clause,[],[f276])).
% 0.21/0.49 thf(f276,plain,(
% 0.21/0.49 spl5_17 <=> ((sK7 @ sK9) = $false)),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_17])])).
% 0.21/0.49 thf(f690,plain,(
% 0.21/0.49 ($true = (sK7 @ sK9)) | ((sK0 @ sK6 @ sK8) = $false) | (~spl5_16 | ~spl5_42)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f674])).
% 0.21/0.49 thf(f674,plain,(
% 0.21/0.49 ((sK0 @ sK6 @ sK8) = $false) | ($true = $false) | ($true = (sK7 @ sK9)) | (~spl5_16 | ~spl5_42)),
% 0.21/0.49 inference(superposition,[],[f504,f273])).
% 0.21/0.49 thf(f273,plain,(
% 0.21/0.49 ($true = (sK1 @ sK8 @ sK9)) | ~spl5_16),
% 0.21/0.49 inference(avatar_component_clause,[],[f271])).
% 0.21/0.49 thf(f271,plain,(
% 0.21/0.49 spl5_16 <=> ($true = (sK1 @ sK8 @ sK9))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_16])])).
% 0.21/0.49 thf(f504,plain,(
% 0.21/0.49 ( ! [X0 : $i,X1 : $i] : (((sK1 @ X0 @ X1) = $false) | ($true = (sK7 @ X1)) | ((sK0 @ sK6 @ X0) = $false)) ) | ~spl5_42),
% 0.21/0.49 inference(avatar_component_clause,[],[f503])).
% 0.21/0.49 thf(f503,plain,(
% 0.21/0.49 spl5_42 <=> ! [X0,X1] : (((sK0 @ sK6 @ X0) = $false) | ((sK1 @ X0 @ X1) = $false) | ($true = (sK7 @ X1)))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_42])])).
% 0.21/0.49 thf(f572,plain,(
% 0.21/0.49 spl5_50 | spl5_49 | ~spl5_11 | ~spl5_39),
% 0.21/0.49 inference(avatar_split_clause,[],[f527,f484,f248,f563,f567])).
% 0.21/0.49 thf(f248,plain,(
% 0.21/0.49 spl5_11 <=> ((sK1 @ sK12 @ sK13) = $true)),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_11])])).
% 0.21/0.49 thf(f484,plain,(
% 0.21/0.49 spl5_39 <=> ! [X0,X1] : (((sK0 @ sK10 @ X0) = $false) | ((sK1 @ X0 @ X1) = $false) | ((sK11 @ X1) = $true))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_39])])).
% 0.21/0.49 thf(f527,plain,(
% 0.21/0.49 ((sK0 @ sK10 @ sK12) = $false) | ($true = (sK11 @ sK13)) | (~spl5_11 | ~spl5_39)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f525])).
% 0.21/0.49 thf(f525,plain,(
% 0.21/0.49 ($true = (sK11 @ sK13)) | ((sK0 @ sK10 @ sK12) = $false) | ($true = $false) | (~spl5_11 | ~spl5_39)),
% 0.21/0.49 inference(superposition,[],[f250,f485])).
% 0.21/0.49 thf(f485,plain,(
% 0.21/0.49 ( ! [X0 : $i,X1 : $i] : (((sK1 @ X0 @ X1) = $false) | ((sK0 @ sK10 @ X0) = $false) | ((sK11 @ X1) = $true)) ) | ~spl5_39),
% 0.21/0.49 inference(avatar_component_clause,[],[f484])).
% 0.21/0.49 thf(f250,plain,(
% 0.21/0.49 ((sK1 @ sK12 @ sK13) = $true) | ~spl5_11),
% 0.21/0.49 inference(avatar_component_clause,[],[f248])).
% 0.21/0.49 thf(f514,plain,(
% 0.21/0.49 spl5_42 | spl5_42 | ~spl5_6 | ~spl5_8 | ~spl5_18),
% 0.21/0.49 inference(avatar_split_clause,[],[f499,f281,f235,f228,f503,f503])).
% 0.21/0.49 thf(f281,plain,(
% 0.21/0.49 spl5_18 <=> ! [X1] : (($true = (sK7 @ X1)) | ((sK1 @ sK6 @ X1) = $false))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_18])])).
% 0.21/0.49 thf(f499,plain,(
% 0.21/0.49 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK1 @ X1 @ X0) = $false) | ((sK1 @ X2 @ X3) = $false) | ($true = (sK7 @ X0)) | ((sK7 @ X3) = $true) | ((sK0 @ sK6 @ X1) = $false) | ((sK0 @ sK6 @ X2) = $false)) ) | (~spl5_6 | ~spl5_8 | ~spl5_18)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f497])).
% 0.21/0.49 thf(f497,plain,(
% 0.21/0.49 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK7 @ X0)) | ($true = $false) | ((sK0 @ sK6 @ X1) = $false) | ((sK1 @ X2 @ X3) = $false) | ((sK1 @ X1 @ X0) = $false) | ((sK0 @ sK6 @ X2) = $false) | ((sK7 @ X3) = $true)) ) | (~spl5_6 | ~spl5_8 | ~spl5_18)),
% 0.21/0.49 inference(superposition,[],[f236,f476])).
% 0.21/0.49 thf(f476,plain,(
% 0.21/0.49 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK7 @ (sK14 @ sK6 @ X0)) = $true) | ((sK1 @ X2 @ X1) = $false) | ((sK0 @ sK6 @ X2) = $false) | ($true = (X0 @ X1))) ) | (~spl5_6 | ~spl5_18)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f465])).
% 0.21/0.49 thf(f465,plain,(
% 0.21/0.49 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK0 @ sK6 @ X2) = $false) | ($true = $false) | ((sK7 @ (sK14 @ sK6 @ X0)) = $true) | ($true = (X0 @ X1)) | ((sK1 @ X2 @ X1) = $false)) ) | (~spl5_6 | ~spl5_18)),
% 0.21/0.49 inference(superposition,[],[f282,f229])).
% 0.21/0.49 thf(f282,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (((sK1 @ sK6 @ X1) = $false) | ($true = (sK7 @ X1))) ) | ~spl5_18),
% 0.21/0.49 inference(avatar_component_clause,[],[f281])).
% 0.21/0.49 thf(f495,plain,(
% 0.21/0.49 spl5_39 | spl5_39 | ~spl5_6 | ~spl5_8 | ~spl5_13),
% 0.21/0.49 inference(avatar_split_clause,[],[f480,f258,f235,f228,f484,f484])).
% 0.21/0.49 thf(f258,plain,(
% 0.21/0.49 spl5_13 <=> ! [X1] : (($false = (sK1 @ sK10 @ X1)) | ((sK11 @ X1) = $true))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_13])])).
% 0.21/0.49 thf(f480,plain,(
% 0.21/0.49 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK1 @ X1 @ X0) = $false) | ($true = (sK11 @ X3)) | ($true = (sK11 @ X0)) | ((sK0 @ sK10 @ X2) = $false) | ((sK0 @ sK10 @ X1) = $false) | ((sK1 @ X2 @ X3) = $false)) ) | (~spl5_6 | ~spl5_8 | ~spl5_13)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f478])).
% 0.21/0.49 thf(f478,plain,(
% 0.21/0.49 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK1 @ X1 @ X0) = $false) | ((sK0 @ sK10 @ X1) = $false) | ($true = $false) | ((sK1 @ X2 @ X3) = $false) | ($true = (sK11 @ X0)) | ($true = (sK11 @ X3)) | ((sK0 @ sK10 @ X2) = $false)) ) | (~spl5_6 | ~spl5_8 | ~spl5_13)),
% 0.21/0.49 inference(superposition,[],[f236,f474])).
% 0.21/0.49 thf(f474,plain,(
% 0.21/0.49 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (sK11 @ (sK14 @ sK10 @ X0))) | ((sK0 @ sK10 @ X2) = $false) | ((sK1 @ X2 @ X1) = $false) | ($true = (X0 @ X1))) ) | (~spl5_6 | ~spl5_13)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f463])).
% 0.21/0.49 thf(f463,plain,(
% 0.21/0.49 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (X0 @ X1)) | ($true = $false) | ((sK1 @ X2 @ X1) = $false) | ($true = (sK11 @ (sK14 @ sK10 @ X0))) | ((sK0 @ sK10 @ X2) = $false)) ) | (~spl5_6 | ~spl5_13)),
% 0.21/0.49 inference(superposition,[],[f229,f259])).
% 0.21/0.49 thf(f259,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (($false = (sK1 @ sK10 @ X1)) | ((sK11 @ X1) = $true)) ) | ~spl5_13),
% 0.21/0.49 inference(avatar_component_clause,[],[f258])).
% 0.21/0.49 thf(f442,plain,(
% 0.21/0.49 ~spl5_7 | ~spl5_14 | ~spl5_16 | ~spl5_17 | ~spl5_18),
% 0.21/0.49 inference(avatar_contradiction_clause,[],[f441])).
% 0.21/0.49 thf(f441,plain,(
% 0.21/0.49 $false | (~spl5_7 | ~spl5_14 | ~spl5_16 | ~spl5_17 | ~spl5_18)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f440])).
% 0.21/0.49 thf(f440,plain,(
% 0.21/0.49 ($true = $false) | (~spl5_7 | ~spl5_14 | ~spl5_16 | ~spl5_17 | ~spl5_18)),
% 0.21/0.49 inference(forward_demodulation,[],[f439,f278])).
% 0.21/0.49 thf(f439,plain,(
% 0.21/0.49 ($true = (sK7 @ sK9)) | (~spl5_7 | ~spl5_14 | ~spl5_16 | ~spl5_18)),
% 0.21/0.49 inference(subsumption_resolution,[],[f408,f264])).
% 0.21/0.49 thf(f408,plain,(
% 0.21/0.49 ((sK0 @ sK6 @ sK8) != $true) | ($true = (sK7 @ sK9)) | (~spl5_7 | ~spl5_16 | ~spl5_18)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f401])).
% 0.21/0.49 thf(f401,plain,(
% 0.21/0.49 ($true != $true) | ($true = (sK7 @ sK9)) | ((sK0 @ sK6 @ sK8) != $true) | (~spl5_7 | ~spl5_16 | ~spl5_18)),
% 0.21/0.49 inference(superposition,[],[f370,f273])).
% 0.21/0.49 thf(f370,plain,(
% 0.21/0.49 ( ! [X0 : $i,X1 : $i] : (($true != (sK1 @ X1 @ X0)) | ((sK0 @ sK6 @ X1) != $true) | ($true = (sK7 @ X0))) ) | (~spl5_7 | ~spl5_18)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f368])).
% 0.21/0.49 thf(f368,plain,(
% 0.21/0.49 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ($true != (sK1 @ X1 @ X0)) | ($true = (sK7 @ X0)) | ((sK0 @ sK6 @ X1) != $true)) ) | (~spl5_7 | ~spl5_18)),
% 0.21/0.49 inference(superposition,[],[f232,f282])).
% 0.21/0.49 thf(f232,plain,(
% 0.21/0.49 ( ! [X6 : $i,X7 : $i,X5 : $i] : (($true = (sK1 @ X6 @ X7)) | ($true != (sK0 @ X6 @ X5)) | ($true != (sK1 @ X5 @ X7))) ) | ~spl5_7),
% 0.21/0.49 inference(avatar_component_clause,[],[f231])).
% 0.21/0.49 thf(f231,plain,(
% 0.21/0.49 spl5_7 <=> ! [X6,X5,X7] : (($true != (sK0 @ X6 @ X5)) | ($true != (sK1 @ X5 @ X7)) | ($true = (sK1 @ X6 @ X7)))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl5_7])])).
% 0.21/0.49 thf(f365,plain,(
% 0.21/0.49 ~spl5_7 | ~spl5_9 | ~spl5_11 | ~spl5_12 | ~spl5_13),
% 0.21/0.49 inference(avatar_contradiction_clause,[],[f364])).
% 0.21/0.49 thf(f364,plain,(
% 0.21/0.49 $false | (~spl5_7 | ~spl5_9 | ~spl5_11 | ~spl5_12 | ~spl5_13)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f363])).
% 0.21/0.49 thf(f363,plain,(
% 0.21/0.49 ($true = $false) | (~spl5_7 | ~spl5_9 | ~spl5_11 | ~spl5_12 | ~spl5_13)),
% 0.21/0.49 inference(forward_demodulation,[],[f362,f255])).
% 0.21/0.49 thf(f362,plain,(
% 0.21/0.49 ($true = (sK11 @ sK13)) | (~spl5_7 | ~spl5_9 | ~spl5_11 | ~spl5_13)),
% 0.21/0.49 inference(subsumption_resolution,[],[f361,f241])).
% 0.21/0.49 thf(f361,plain,(
% 0.21/0.49 ($true = (sK11 @ sK13)) | ($true != (sK0 @ sK10 @ sK12)) | (~spl5_7 | ~spl5_11 | ~spl5_13)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f360])).
% 0.21/0.49 thf(f360,plain,(
% 0.21/0.49 ($true = (sK11 @ sK13)) | ($true != (sK0 @ sK10 @ sK12)) | ($true != $true) | (~spl5_7 | ~spl5_11 | ~spl5_13)),
% 0.21/0.49 inference(superposition,[],[f333,f250])).
% 0.21/0.49 thf(f333,plain,(
% 0.21/0.49 ( ! [X0 : $i,X1 : $i] : (($true != (sK1 @ X1 @ X0)) | ((sK0 @ sK10 @ X1) != $true) | ($true = (sK11 @ X0))) ) | (~spl5_7 | ~spl5_13)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f329])).
% 0.21/0.49 thf(f329,plain,(
% 0.21/0.49 ( ! [X0 : $i,X1 : $i] : (($true = (sK11 @ X0)) | ($true = $false) | ($true != (sK1 @ X1 @ X0)) | ((sK0 @ sK10 @ X1) != $true)) ) | (~spl5_7 | ~spl5_13)),
% 0.21/0.49 inference(superposition,[],[f259,f232])).
% 0.21/0.49 thf(f328,plain,(
% 0.21/0.49 ~spl5_1 | ~spl5_7 | ~spl5_10 | spl5_15),
% 0.21/0.49 inference(avatar_contradiction_clause,[],[f327])).
% 0.21/0.49 thf(f327,plain,(
% 0.21/0.49 $false | (~spl5_1 | ~spl5_7 | ~spl5_10 | spl5_15)),
% 0.21/0.49 inference(subsumption_resolution,[],[f326,f207])).
% 0.21/0.49 thf(f326,plain,(
% 0.21/0.49 ((sK0 @ sK3 @ sK2) != $true) | (~spl5_7 | ~spl5_10 | spl5_15)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f324])).
% 0.21/0.49 thf(f324,plain,(
% 0.21/0.49 ((sK0 @ sK3 @ sK2) != $true) | ($true != $true) | (~spl5_7 | ~spl5_10 | spl5_15)),
% 0.21/0.49 inference(superposition,[],[f289,f245])).
% 0.21/0.49 thf(f289,plain,(
% 0.21/0.49 ( ! [X0 : $i] : (($true != (sK1 @ X0 @ sK4)) | ((sK0 @ sK3 @ X0) != $true)) ) | (~spl5_7 | spl5_15)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f288])).
% 0.21/0.49 thf(f288,plain,(
% 0.21/0.49 ( ! [X0 : $i] : (($true != (sK1 @ X0 @ sK4)) | ($true != $true) | ((sK0 @ sK3 @ X0) != $true)) ) | (~spl5_7 | spl5_15)),
% 0.21/0.49 inference(superposition,[],[f268,f232])).
% 0.21/0.49 thf(f310,plain,(
% 0.21/0.49 ~spl5_2 | ~spl5_3 | ~spl5_4 | ~spl5_5 | ~spl5_7),
% 0.21/0.49 inference(avatar_contradiction_clause,[],[f309])).
% 0.21/0.49 thf(f309,plain,(
% 0.21/0.49 $false | (~spl5_2 | ~spl5_3 | ~spl5_4 | ~spl5_5 | ~spl5_7)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f308])).
% 0.21/0.49 thf(f308,plain,(
% 0.21/0.49 ($true = $false) | (~spl5_2 | ~spl5_3 | ~spl5_4 | ~spl5_5 | ~spl5_7)),
% 0.21/0.49 inference(forward_demodulation,[],[f307,f221])).
% 0.21/0.49 thf(f307,plain,(
% 0.21/0.49 ((sK16 @ sK18) = $true) | (~spl5_2 | ~spl5_3 | ~spl5_5 | ~spl5_7)),
% 0.21/0.49 inference(subsumption_resolution,[],[f295,f211])).
% 0.21/0.49 thf(f295,plain,(
% 0.21/0.49 ((sK16 @ sK18) = $true) | ($true != (sK0 @ sK15 @ sK17)) | (~spl5_3 | ~spl5_5 | ~spl5_7)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f293])).
% 0.21/0.49 thf(f293,plain,(
% 0.21/0.49 ($true != $true) | ($true != (sK0 @ sK15 @ sK17)) | ((sK16 @ sK18) = $true) | (~spl5_3 | ~spl5_5 | ~spl5_7)),
% 0.21/0.49 inference(superposition,[],[f287,f216])).
% 0.21/0.49 thf(f287,plain,(
% 0.21/0.49 ( ! [X0 : $i,X1 : $i] : (($true != (sK1 @ X1 @ X0)) | ($true != (sK0 @ sK15 @ X1)) | ((sK16 @ X0) = $true)) ) | (~spl5_5 | ~spl5_7)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f284])).
% 0.21/0.49 thf(f284,plain,(
% 0.21/0.49 ( ! [X0 : $i,X1 : $i] : (((sK16 @ X0) = $true) | ($true != (sK1 @ X1 @ X0)) | ($true != (sK0 @ sK15 @ X1)) | ($true = $false)) ) | (~spl5_5 | ~spl5_7)),
% 0.21/0.49 inference(superposition,[],[f232,f225])).
% 0.21/0.49 thf(f283,plain,(
% 0.21/0.49 ~spl5_15 | spl5_18),
% 0.21/0.49 inference(avatar_split_clause,[],[f128,f281,f266])).
% 0.21/0.49 thf(f128,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (($true = (sK7 @ X1)) | ($true != (sK1 @ sK3 @ sK4)) | ((sK1 @ sK6 @ X1) = $false)) )),
% 0.21/0.49 inference(not_proxy_clausification,[],[f127])).
% 0.21/0.49 thf(f127,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (($true != (sK1 @ sK3 @ sK4)) | ((~ (sK1 @ sK6 @ X1)) = $true) | ($true = (sK7 @ X1))) )),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f126])).
% 0.21/0.49 thf(f126,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (($true != (sK1 @ sK3 @ sK4)) | ($true = ((sK7 @ X1) | (~ (sK1 @ sK6 @ X1))))) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f125])).
% 0.21/0.49 thf(f125,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (($true != (sK1 @ sK3 @ sK4)) | (((^[Y0 : $i]: ((sK7 @ Y0) | (~ (sK1 @ sK6 @ Y0)))) @ X1) = $true)) )),
% 0.21/0.49 inference(pi_clausification,[],[f124])).
% 0.21/0.49 thf(f124,plain,(
% 0.21/0.49 ($true != (sK1 @ sK3 @ sK4)) | ((!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) | (~ (sK1 @ sK6 @ Y0))))) = $true)),
% 0.21/0.49 inference(not_proxy_clausification,[],[f123])).
% 0.21/0.49 thf(f123,plain,(
% 0.21/0.49 ($true != (sK1 @ sK3 @ sK4)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) | (~ (sK1 @ sK6 @ Y0)))))) = $false)),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f121])).
% 0.21/0.49 thf(f121,plain,(
% 0.21/0.49 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) | (~ (sK1 @ sK6 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK7 @ Y1) | (~ (sK1 @ Y0 @ Y1))))) | (~ (sK0 @ sK6 @ Y0))))))) | ($true != (sK1 @ sK3 @ sK4))),
% 0.21/0.49 inference(beta_eta_normalization,[],[f120])).
% 0.21/0.49 thf(f120,plain,(
% 0.21/0.49 (((^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (sK1 @ sK6 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (sK1 @ Y1 @ Y2))))) | (~ (sK0 @ sK6 @ Y1))))))) @ sK7) = $false) | ($true != (sK1 @ sK3 @ sK4))),
% 0.21/0.49 inference(sigma_clausification,[],[f119])).
% 0.21/0.49 thf(f119,plain,(
% 0.21/0.49 ($true != (sK1 @ sK3 @ sK4)) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (sK1 @ sK6 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (sK1 @ Y1 @ Y2))))) | (~ (sK0 @ sK6 @ Y1)))))))) = $false)),
% 0.21/0.49 inference(beta_eta_normalization,[],[f118])).
% 0.21/0.49 thf(f118,plain,(
% 0.21/0.49 (((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (sK1 @ Y0 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (sK1 @ Y2 @ Y3))))) | (~ (sK0 @ Y0 @ Y2))))))))) @ sK6) = $false) | ($true != (sK1 @ sK3 @ sK4))),
% 0.21/0.49 inference(sigma_clausification,[],[f117])).
% 0.21/0.49 thf(f117,plain,(
% 0.21/0.49 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (sK1 @ Y0 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (sK1 @ Y2 @ Y3))))) | (~ (sK0 @ Y0 @ Y2))))))))))) | ($true != (sK1 @ sK3 @ sK4))),
% 0.21/0.49 inference(beta_eta_normalization,[],[f114])).
% 0.21/0.49 thf(f114,plain,(
% 0.21/0.49 ($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]: ((Y3 @ Y5) | (Y4 @ 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)))))))))) @ sK1 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ sK0 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ sK1 @ Y0))))))) | ($true != (sK1 @ sK3 @ sK4))),
% 0.21/0.49 inference(definition_unfolding,[],[f107,f111,f110,f112,f104,f104,f104])).
% 0.21/0.49 thf(f104,plain,(
% 0.21/0.49 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.21/0.49 inference(cnf_transformation,[],[f42])).
% 0.21/0.49 thf(f42,plain,(
% 0.21/0.49 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.21/0.49 inference(fool_elimination,[],[f41])).
% 0.21/0.49 thf(f41,plain,(
% 0.21/0.49 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))) = mbox)),
% 0.21/0.49 inference(rectify,[],[f16])).
% 0.21/0.49 thf(f16,axiom,(
% 0.21/0.49 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))) = mbox)),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.21/0.49 thf(f112,plain,(
% 0.21/0.49 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.21/0.49 inference(definition_unfolding,[],[f102,f109,f103])).
% 0.21/0.49 thf(f103,plain,(
% 0.21/0.49 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.49 inference(cnf_transformation,[],[f69])).
% 0.21/0.49 thf(f69,plain,(
% 0.21/0.49 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.49 inference(fool_elimination,[],[f68])).
% 0.21/0.49 thf(f68,plain,(
% 0.21/0.49 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.21/0.49 inference(rectify,[],[f3])).
% 0.21/0.49 thf(f3,axiom,(
% 0.21/0.49 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.21/0.49 thf(f109,plain,(
% 0.21/0.49 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.21/0.49 inference(cnf_transformation,[],[f59])).
% 0.21/0.49 thf(f59,plain,(
% 0.21/0.49 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.21/0.49 inference(fool_elimination,[],[f58])).
% 0.21/0.49 thf(f58,plain,(
% 0.21/0.49 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 0.21/0.49 inference(rectify,[],[f4])).
% 0.21/0.49 thf(f4,axiom,(
% 0.21/0.49 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.21/0.49 thf(f102,plain,(
% 0.21/0.49 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.49 inference(cnf_transformation,[],[f86])).
% 0.21/0.49 thf(f86,plain,(
% 0.21/0.49 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.49 inference(fool_elimination,[],[f85])).
% 0.21/0.49 thf(f85,plain,(
% 0.21/0.49 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.21/0.49 inference(rectify,[],[f6])).
% 0.21/0.49 thf(f6,axiom,(
% 0.21/0.49 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 0.21/0.49 thf(f110,plain,(
% 0.21/0.49 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 0.21/0.49 inference(cnf_transformation,[],[f67])).
% 0.21/0.49 thf(f67,plain,(
% 0.21/0.49 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 0.21/0.49 inference(fool_elimination,[],[f66])).
% 0.21/0.49 thf(f66,plain,(
% 0.21/0.49 ((^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))) = mforall_prop)),
% 0.21/0.49 inference(rectify,[],[f11])).
% 0.21/0.49 thf(f11,axiom,(
% 0.21/0.49 ((^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))) = mforall_prop)),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_prop)).
% 0.21/0.49 thf(f111,plain,(
% 0.21/0.49 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.49 inference(cnf_transformation,[],[f57])).
% 0.21/0.49 thf(f57,plain,(
% 0.21/0.49 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.49 inference(fool_elimination,[],[f56])).
% 0.21/0.49 thf(f56,plain,(
% 0.21/0.49 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.21/0.49 inference(rectify,[],[f28])).
% 0.21/0.49 thf(f28,axiom,(
% 0.21/0.49 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.21/0.49 thf(f107,plain,(
% 0.21/0.49 ($true != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ sK1 @ Y0) @ (mbox @ sK0 @ (mbox @ sK1 @ Y0))))))) | ($true != (sK1 @ sK3 @ sK4))),
% 0.21/0.49 inference(cnf_transformation,[],[f101])).
% 0.21/0.49 thf(f101,plain,(
% 0.21/0.49 (($true != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ sK1 @ Y0) @ (mbox @ sK0 @ (mbox @ sK1 @ Y0))))))) | (((sK0 @ sK3 @ sK2) = $true) & ($true != (sK1 @ sK3 @ sK4)) & ($true = (sK1 @ sK2 @ sK4)))) & (($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ sK1 @ Y0) @ (mbox @ sK0 @ (mbox @ sK1 @ Y0))))))) | ! [X5,X6,X7] : (($true != (sK0 @ X6 @ X5)) | ($true = (sK1 @ X6 @ X7)) | ($true != (sK1 @ X5 @ X7))))),
% 0.21/0.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f98,f100,f99])).
% 0.21/0.49 thf(f99,plain,(
% 0.21/0.49 ? [X0 : $i > $i > $o,X1 : $i > $i > $o] : ((($true != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ X1 @ Y0) @ (mbox @ X0 @ (mbox @ X1 @ Y0))))))) | ? [X2,X3,X4] : (($true = (X0 @ X3 @ X2)) & ((X1 @ X3 @ X4) != $true) & ($true = (X1 @ X2 @ X4)))) & (($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ X1 @ Y0) @ (mbox @ X0 @ (mbox @ X1 @ Y0))))))) | ! [X5,X6,X7] : (($true != (X0 @ X6 @ X5)) | ($true = (X1 @ X6 @ X7)) | ((X1 @ X5 @ X7) != $true)))) => ((($true != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ sK1 @ Y0) @ (mbox @ sK0 @ (mbox @ sK1 @ Y0))))))) | ? [X4,X3,X2] : (($true = (sK0 @ X3 @ X2)) & ((sK1 @ X3 @ X4) != $true) & ($true = (sK1 @ X2 @ X4)))) & (($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ sK1 @ Y0) @ (mbox @ sK0 @ (mbox @ sK1 @ Y0))))))) | ! [X7,X6,X5] : (($true != (sK0 @ X6 @ X5)) | ($true = (sK1 @ X6 @ X7)) | ($true != (sK1 @ X5 @ X7)))))),
% 0.21/0.49 introduced(choice_axiom,[])).
% 0.21/0.49 thf(f100,plain,(
% 0.21/0.49 ? [X4,X3,X2] : (($true = (sK0 @ X3 @ X2)) & ((sK1 @ X3 @ X4) != $true) & ($true = (sK1 @ X2 @ X4))) => (((sK0 @ sK3 @ sK2) = $true) & ($true != (sK1 @ sK3 @ sK4)) & ($true = (sK1 @ sK2 @ sK4)))),
% 0.21/0.49 introduced(choice_axiom,[])).
% 0.21/0.49 thf(f98,plain,(
% 0.21/0.49 ? [X0 : $i > $i > $o,X1 : $i > $i > $o] : ((($true != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ X1 @ Y0) @ (mbox @ X0 @ (mbox @ X1 @ Y0))))))) | ? [X2,X3,X4] : (($true = (X0 @ X3 @ X2)) & ((X1 @ X3 @ X4) != $true) & ($true = (X1 @ X2 @ X4)))) & (($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ X1 @ Y0) @ (mbox @ X0 @ (mbox @ X1 @ Y0))))))) | ! [X5,X6,X7] : (($true != (X0 @ X6 @ X5)) | ($true = (X1 @ X6 @ X7)) | ((X1 @ X5 @ X7) != $true))))),
% 0.21/0.49 inference(rectify,[],[f97])).
% 0.21/0.49 thf(f97,plain,(
% 0.21/0.49 ? [X0 : $i > $i > $o,X1 : $i > $i > $o] : ((($true != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ X1 @ Y0) @ (mbox @ X0 @ (mbox @ X1 @ Y0))))))) | ? [X2,X3,X4] : (($true = (X0 @ X3 @ X2)) & ((X1 @ X3 @ X4) != $true) & ($true = (X1 @ X2 @ X4)))) & (($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ X1 @ Y0) @ (mbox @ X0 @ (mbox @ X1 @ Y0))))))) | ! [X2,X3,X4] : (($true != (X0 @ X3 @ X2)) | ((X1 @ X3 @ X4) = $true) | ($true != (X1 @ X2 @ X4)))))),
% 0.21/0.49 inference(nnf_transformation,[],[f96])).
% 0.21/0.49 thf(f96,plain,(
% 0.21/0.49 ? [X0 : $i > $i > $o,X1 : $i > $i > $o] : (! [X2,X3,X4] : (($true != (X0 @ X3 @ X2)) | ((X1 @ X3 @ X4) = $true) | ($true != (X1 @ X2 @ X4))) <~> ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ X1 @ Y0) @ (mbox @ X0 @ (mbox @ X1 @ Y0))))))))),
% 0.21/0.49 inference(flattening,[],[f95])).
% 0.21/0.49 thf(f95,plain,(
% 0.21/0.49 ? [X0 : $i > $i > $o,X1 : $i > $i > $o] : (($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ X1 @ Y0) @ (mbox @ X0 @ (mbox @ X1 @ Y0))))))) <~> ! [X2,X3,X4] : (((X1 @ X3 @ X4) = $true) | (($true != (X0 @ X3 @ X2)) | ($true != (X1 @ X2 @ X4)))))),
% 0.21/0.49 inference(ennf_transformation,[],[f51])).
% 0.21/0.49 thf(f51,plain,(
% 0.21/0.49 ~! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ X1 @ Y0) @ (mbox @ X0 @ (mbox @ X1 @ Y0))))))) <=> ! [X2,X3,X4] : ((($true = (X0 @ X3 @ X2)) & ($true = (X1 @ X2 @ X4))) => ((X1 @ X3 @ X4) = $true)))),
% 0.21/0.49 inference(fool_elimination,[],[f50])).
% 0.21/0.49 thf(f50,plain,(
% 0.21/0.49 ~! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (! [X2,X3,X4] : (((X1 @ X2 @ X4) & (X0 @ X3 @ X2)) => (X1 @ X3 @ X4)) <=> (mvalid @ (mforall_prop @ (^[X5 : $i > $o] : (mimplies @ (mbox @ X1 @ X5) @ (mbox @ X0 @ (mbox @ X1 @ X5)))))))),
% 0.21/0.49 inference(rectify,[],[f33])).
% 0.21/0.49 thf(f33,negated_conjecture,(
% 0.21/0.49 ~! [X12 : $i > $i > $o,X11 : $i > $i > $o] : (! [X7,X10,X2] : (((X11 @ X7 @ X2) & (X12 @ X10 @ X7)) => (X11 @ X10 @ X2)) <=> (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ X11 @ X3) @ (mbox @ X12 @ (mbox @ X11 @ X3)))))))),
% 0.21/0.49 inference(negated_conjecture,[],[f32])).
% 0.21/0.49 thf(f32,conjecture,(
% 0.21/0.49 ! [X12 : $i > $i > $o,X11 : $i > $i > $o] : (! [X7,X10,X2] : (((X11 @ X7 @ X2) & (X12 @ X10 @ X7)) => (X11 @ X10 @ X2)) <=> (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ X11 @ X3) @ (mbox @ X12 @ (mbox @ X11 @ X3)))))))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.21/0.49 thf(f279,plain,(
% 0.21/0.49 ~spl5_15 | spl5_17),
% 0.21/0.49 inference(avatar_split_clause,[],[f136,f276,f266])).
% 0.21/0.49 thf(f136,plain,(
% 0.21/0.49 ($true != (sK1 @ sK3 @ sK4)) | ((sK7 @ sK9) = $false)),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f134])).
% 0.21/0.49 thf(f134,plain,(
% 0.21/0.49 ($true != (sK1 @ sK3 @ sK4)) | (((sK7 @ sK9) | (~ (sK1 @ sK8 @ sK9))) = $false)),
% 0.21/0.49 inference(beta_eta_normalization,[],[f133])).
% 0.21/0.49 thf(f133,plain,(
% 0.21/0.49 ($true != (sK1 @ sK3 @ sK4)) | (((^[Y0 : $i]: ((sK7 @ Y0) | (~ (sK1 @ sK8 @ Y0)))) @ sK9) = $false)),
% 0.21/0.49 inference(sigma_clausification,[],[f132])).
% 0.21/0.49 thf(f132,plain,(
% 0.21/0.49 ((!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) | (~ (sK1 @ sK8 @ Y0))))) = $false) | ($true != (sK1 @ sK3 @ sK4))),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f130])).
% 0.21/0.49 thf(f130,plain,(
% 0.21/0.49 (((!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) | (~ (sK1 @ sK8 @ Y0))))) | (~ (sK0 @ sK6 @ sK8))) = $false) | ($true != (sK1 @ sK3 @ sK4))),
% 0.21/0.49 inference(beta_eta_normalization,[],[f129])).
% 0.21/0.49 thf(f129,plain,(
% 0.21/0.49 ($true != (sK1 @ sK3 @ sK4)) | (((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK7 @ Y1) | (~ (sK1 @ Y0 @ Y1))))) | (~ (sK0 @ sK6 @ Y0)))) @ sK8) = $false)),
% 0.21/0.49 inference(sigma_clausification,[],[f122])).
% 0.21/0.49 thf(f122,plain,(
% 0.21/0.49 ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK7 @ Y1) | (~ (sK1 @ Y0 @ Y1))))) | (~ (sK0 @ sK6 @ Y0))))) = $false) | ($true != (sK1 @ sK3 @ sK4))),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f121])).
% 0.21/0.49 thf(f274,plain,(
% 0.21/0.49 ~spl5_15 | spl5_16),
% 0.21/0.49 inference(avatar_split_clause,[],[f137,f271,f266])).
% 0.21/0.49 thf(f137,plain,(
% 0.21/0.49 ($true != (sK1 @ sK3 @ sK4)) | ($true = (sK1 @ sK8 @ sK9))),
% 0.21/0.49 inference(not_proxy_clausification,[],[f135])).
% 0.21/0.49 thf(f135,plain,(
% 0.21/0.49 ((~ (sK1 @ sK8 @ sK9)) = $false) | ($true != (sK1 @ sK3 @ sK4))),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f134])).
% 0.21/0.49 thf(f269,plain,(
% 0.21/0.49 spl5_14 | ~spl5_15),
% 0.21/0.49 inference(avatar_split_clause,[],[f138,f266,f262])).
% 0.21/0.49 thf(f138,plain,(
% 0.21/0.49 ($true != (sK1 @ sK3 @ sK4)) | ((sK0 @ sK6 @ sK8) = $true)),
% 0.21/0.49 inference(not_proxy_clausification,[],[f131])).
% 0.21/0.49 thf(f131,plain,(
% 0.21/0.49 ((~ (sK0 @ sK6 @ sK8)) = $false) | ($true != (sK1 @ sK3 @ sK4))),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f130])).
% 0.21/0.49 thf(f260,plain,(
% 0.21/0.49 spl5_13 | spl5_10),
% 0.21/0.49 inference(avatar_split_clause,[],[f150,f243,f258])).
% 0.21/0.49 thf(f150,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (($false = (sK1 @ sK10 @ X1)) | ($true = (sK1 @ sK2 @ sK4)) | ((sK11 @ X1) = $true)) )),
% 0.21/0.49 inference(not_proxy_clausification,[],[f149])).
% 0.21/0.49 thf(f149,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (((sK11 @ X1) = $true) | ($true = (sK1 @ sK2 @ sK4)) | ($true = (~ (sK1 @ sK10 @ X1)))) )),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f148])).
% 0.21/0.49 thf(f148,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (($true = (sK1 @ sK2 @ sK4)) | ($true = ((sK11 @ X1) | (~ (sK1 @ sK10 @ X1))))) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f147])).
% 0.21/0.49 thf(f147,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (($true = (sK1 @ sK2 @ sK4)) | ($true = ((^[Y0 : $i]: ((sK11 @ Y0) | (~ (sK1 @ sK10 @ Y0)))) @ X1))) )),
% 0.21/0.49 inference(pi_clausification,[],[f146])).
% 0.21/0.49 thf(f146,plain,(
% 0.21/0.49 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK11 @ Y0) | (~ (sK1 @ sK10 @ Y0)))))) | ($true = (sK1 @ sK2 @ sK4))),
% 0.21/0.49 inference(not_proxy_clausification,[],[f145])).
% 0.21/0.49 thf(f145,plain,(
% 0.21/0.49 ($true = (sK1 @ sK2 @ sK4)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((sK11 @ Y0) | (~ (sK1 @ sK10 @ Y0)))))) = $false)),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f143])).
% 0.21/0.49 thf(f143,plain,(
% 0.21/0.49 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((sK11 @ Y0) | (~ (sK1 @ sK10 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK11 @ Y1) | (~ (sK1 @ Y0 @ Y1))))) | (~ (sK0 @ sK10 @ Y0))))))) | ($true = (sK1 @ sK2 @ sK4))),
% 0.21/0.49 inference(beta_eta_normalization,[],[f142])).
% 0.21/0.49 thf(f142,plain,(
% 0.21/0.49 (((^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (sK1 @ sK10 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (sK1 @ Y1 @ Y2))))) | (~ (sK0 @ sK10 @ Y1))))))) @ sK11) = $false) | ($true = (sK1 @ sK2 @ sK4))),
% 0.21/0.49 inference(sigma_clausification,[],[f141])).
% 0.21/0.49 thf(f141,plain,(
% 0.21/0.49 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (sK1 @ sK10 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (sK1 @ Y1 @ Y2))))) | (~ (sK0 @ sK10 @ Y1)))))))) = $false) | ($true = (sK1 @ sK2 @ sK4))),
% 0.21/0.49 inference(beta_eta_normalization,[],[f140])).
% 0.21/0.49 thf(f140,plain,(
% 0.21/0.49 ($false = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (sK1 @ Y0 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (sK1 @ Y2 @ Y3))))) | (~ (sK0 @ Y0 @ Y2))))))))) @ sK10)) | ($true = (sK1 @ sK2 @ sK4))),
% 0.21/0.49 inference(sigma_clausification,[],[f139])).
% 0.21/0.49 thf(f139,plain,(
% 0.21/0.49 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (sK1 @ Y0 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (sK1 @ Y2 @ Y3))))) | (~ (sK0 @ Y0 @ Y2))))))))))) | ($true = (sK1 @ sK2 @ sK4))),
% 0.21/0.49 inference(beta_eta_normalization,[],[f115])).
% 0.21/0.49 thf(f115,plain,(
% 0.21/0.49 ($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]: ((Y3 @ Y5) | (Y4 @ 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)))))))))) @ sK1 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ sK0 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ sK1 @ Y0))))))) | ($true = (sK1 @ sK2 @ sK4))),
% 0.21/0.49 inference(definition_unfolding,[],[f106,f111,f110,f112,f104,f104,f104])).
% 0.21/0.49 thf(f106,plain,(
% 0.21/0.49 ($true != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ sK1 @ Y0) @ (mbox @ sK0 @ (mbox @ sK1 @ Y0))))))) | ($true = (sK1 @ sK2 @ sK4))),
% 0.21/0.49 inference(cnf_transformation,[],[f101])).
% 0.21/0.49 thf(f256,plain,(
% 0.21/0.49 spl5_12 | spl5_10),
% 0.21/0.49 inference(avatar_split_clause,[],[f158,f243,f253])).
% 0.21/0.49 thf(f158,plain,(
% 0.21/0.49 ($false = (sK11 @ sK13)) | ($true = (sK1 @ sK2 @ sK4))),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f156])).
% 0.21/0.49 thf(f156,plain,(
% 0.21/0.49 ($true = (sK1 @ sK2 @ sK4)) | (((sK11 @ sK13) | (~ (sK1 @ sK12 @ sK13))) = $false)),
% 0.21/0.49 inference(beta_eta_normalization,[],[f155])).
% 0.21/0.49 thf(f155,plain,(
% 0.21/0.49 ($false = ((^[Y0 : $i]: ((sK11 @ Y0) | (~ (sK1 @ sK12 @ Y0)))) @ sK13)) | ($true = (sK1 @ sK2 @ sK4))),
% 0.21/0.49 inference(sigma_clausification,[],[f154])).
% 0.21/0.49 thf(f154,plain,(
% 0.21/0.49 ($true = (sK1 @ sK2 @ sK4)) | ((!! @ $i @ (^[Y0 : $i]: ((sK11 @ Y0) | (~ (sK1 @ sK12 @ Y0))))) = $false)),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f152])).
% 0.21/0.49 thf(f152,plain,(
% 0.21/0.49 ($true = (sK1 @ sK2 @ sK4)) | (((!! @ $i @ (^[Y0 : $i]: ((sK11 @ Y0) | (~ (sK1 @ sK12 @ Y0))))) | (~ (sK0 @ sK10 @ sK12))) = $false)),
% 0.21/0.49 inference(beta_eta_normalization,[],[f151])).
% 0.21/0.49 thf(f151,plain,(
% 0.21/0.49 (((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK11 @ Y1) | (~ (sK1 @ Y0 @ Y1))))) | (~ (sK0 @ sK10 @ Y0)))) @ sK12) = $false) | ($true = (sK1 @ sK2 @ sK4))),
% 0.21/0.49 inference(sigma_clausification,[],[f144])).
% 0.21/0.49 thf(f144,plain,(
% 0.21/0.49 ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK11 @ Y1) | (~ (sK1 @ Y0 @ Y1))))) | (~ (sK0 @ sK10 @ Y0))))) = $false) | ($true = (sK1 @ sK2 @ sK4))),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f143])).
% 0.21/0.49 thf(f251,plain,(
% 0.21/0.49 spl5_10 | spl5_11),
% 0.21/0.49 inference(avatar_split_clause,[],[f159,f248,f243])).
% 0.21/0.49 thf(f159,plain,(
% 0.21/0.49 ($true = (sK1 @ sK2 @ sK4)) | ((sK1 @ sK12 @ sK13) = $true)),
% 0.21/0.49 inference(not_proxy_clausification,[],[f157])).
% 0.21/0.49 thf(f157,plain,(
% 0.21/0.49 ((~ (sK1 @ sK12 @ sK13)) = $false) | ($true = (sK1 @ sK2 @ sK4))),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f156])).
% 0.21/0.49 thf(f246,plain,(
% 0.21/0.49 spl5_9 | spl5_10),
% 0.21/0.49 inference(avatar_split_clause,[],[f160,f243,f239])).
% 0.21/0.49 thf(f160,plain,(
% 0.21/0.49 ($true = (sK0 @ sK10 @ sK12)) | ($true = (sK1 @ sK2 @ sK4))),
% 0.21/0.49 inference(not_proxy_clausification,[],[f153])).
% 0.21/0.49 thf(f153,plain,(
% 0.21/0.49 ($true = (sK1 @ sK2 @ sK4)) | ((~ (sK0 @ sK10 @ sK12)) = $false)),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f152])).
% 0.21/0.49 thf(f237,plain,(
% 0.21/0.49 spl5_7 | spl5_8),
% 0.21/0.49 inference(avatar_split_clause,[],[f179,f235,f231])).
% 0.21/0.49 thf(f179,plain,(
% 0.21/0.49 ( ! [X10 : $i,X11 : $i,X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (($true = (X9 @ X11)) | ((X9 @ (sK14 @ X8 @ X9)) = $false) | ((sK1 @ X10 @ X11) = $false) | ($true != (sK1 @ X5 @ X7)) | ($true != (sK0 @ X6 @ X5)) | ((sK0 @ X8 @ X10) = $false) | ($true = (sK1 @ X6 @ X7))) )),
% 0.21/0.49 inference(not_proxy_clausification,[],[f178])).
% 0.21/0.49 thf(f178,plain,(
% 0.21/0.49 ( ! [X10 : $i,X11 : $i,X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (($true = (sK1 @ X6 @ X7)) | ($true = (~ (sK1 @ X10 @ X11))) | ($true = (X9 @ X11)) | ((sK0 @ X8 @ X10) = $false) | ($true != (sK1 @ X5 @ X7)) | ((X9 @ (sK14 @ X8 @ X9)) = $false) | ($true != (sK0 @ X6 @ X5))) )),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f176])).
% 0.21/0.49 thf(f176,plain,(
% 0.21/0.49 ( ! [X10 : $i,X11 : $i,X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (($true = (sK1 @ X6 @ X7)) | (((X9 @ (sK14 @ X8 @ X9)) | (~ (sK1 @ X8 @ (sK14 @ X8 @ X9)))) = $false) | ($true != (sK1 @ X5 @ X7)) | ((sK0 @ X8 @ X10) = $false) | ($true != (sK0 @ X6 @ X5)) | ($true = (X9 @ X11)) | ($true = (~ (sK1 @ X10 @ X11)))) )),
% 0.21/0.49 inference(not_proxy_clausification,[],[f175])).
% 0.21/0.49 thf(f175,plain,(
% 0.21/0.49 ( ! [X10 : $i,X11 : $i,X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (($true != (sK0 @ X6 @ X5)) | ($true = (~ (sK0 @ X8 @ X10))) | ($true = (~ (sK1 @ X10 @ X11))) | ($true = (X9 @ X11)) | ($true != (sK1 @ X5 @ X7)) | (((X9 @ (sK14 @ X8 @ X9)) | (~ (sK1 @ X8 @ (sK14 @ X8 @ X9)))) = $false) | ($true = (sK1 @ X6 @ X7))) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f174])).
% 0.21/0.49 thf(f174,plain,(
% 0.21/0.49 ( ! [X10 : $i,X11 : $i,X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (($true = (sK1 @ X6 @ X7)) | ($true = (X9 @ X11)) | (((^[Y0 : $i]: ((X9 @ Y0) | (~ (sK1 @ X8 @ Y0)))) @ (sK14 @ X8 @ X9)) = $false) | ($true != (sK1 @ X5 @ X7)) | ($true = (~ (sK0 @ X8 @ X10))) | ($true = (~ (sK1 @ X10 @ X11))) | ($true != (sK0 @ X6 @ X5))) )),
% 0.21/0.49 inference(sigma_clausification,[],[f173])).
% 0.21/0.49 thf(f173,plain,(
% 0.21/0.49 ( ! [X10 : $i,X11 : $i,X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (($true != (sK1 @ X5 @ X7)) | ($true = (X9 @ X11)) | ((!! @ $i @ (^[Y0 : $i]: ((X9 @ Y0) | (~ (sK1 @ X8 @ Y0))))) = $false) | ($true = (~ (sK1 @ X10 @ X11))) | ($true = (~ (sK0 @ X8 @ X10))) | ($true != (sK0 @ X6 @ X5)) | ($true = (sK1 @ X6 @ X7))) )),
% 0.21/0.49 inference(not_proxy_clausification,[],[f172])).
% 0.21/0.49 thf(f172,plain,(
% 0.21/0.49 ( ! [X10 : $i,X11 : $i,X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (($true != (sK0 @ X6 @ X5)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((X9 @ Y0) | (~ (sK1 @ X8 @ Y0))))))) | ($true = (sK1 @ X6 @ X7)) | ($true = (~ (sK0 @ X8 @ X10))) | ($true = (X9 @ X11)) | ($true = (~ (sK1 @ X10 @ X11))) | ($true != (sK1 @ X5 @ X7))) )),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f171])).
% 0.21/0.49 thf(f171,plain,(
% 0.21/0.49 ( ! [X10 : $i,X11 : $i,X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (($true = ((X9 @ X11) | (~ (sK1 @ X10 @ X11)))) | ($true = (sK1 @ X6 @ X7)) | ($true = (~ (sK0 @ X8 @ X10))) | ($true != (sK1 @ X5 @ X7)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((X9 @ Y0) | (~ (sK1 @ X8 @ Y0))))))) | ($true != (sK0 @ X6 @ X5))) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f170])).
% 0.21/0.49 thf(f170,plain,(
% 0.21/0.49 ( ! [X10 : $i,X11 : $i,X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (($true = (~ (sK0 @ X8 @ X10))) | ($true = (sK1 @ X6 @ X7)) | ($true = ((^[Y0 : $i]: ((X9 @ Y0) | (~ (sK1 @ X10 @ Y0)))) @ X11)) | ($true != (sK0 @ X6 @ X5)) | ($true != (sK1 @ X5 @ X7)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((X9 @ Y0) | (~ (sK1 @ X8 @ Y0)))))))) )),
% 0.21/0.49 inference(pi_clausification,[],[f169])).
% 0.21/0.49 thf(f169,plain,(
% 0.21/0.49 ( ! [X10 : $i,X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((X9 @ Y0) | (~ (sK1 @ X10 @ Y0))))) = $true) | ($true != (sK0 @ X6 @ X5)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((X9 @ Y0) | (~ (sK1 @ X8 @ Y0))))))) | ($true = (sK1 @ X6 @ X7)) | ($true != (sK1 @ X5 @ X7)) | ($true = (~ (sK0 @ X8 @ X10)))) )),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f168])).
% 0.21/0.49 thf(f168,plain,(
% 0.21/0.49 ( ! [X10 : $i,X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((X9 @ Y0) | (~ (sK1 @ X10 @ Y0))))) | (~ (sK0 @ X8 @ X10))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((X9 @ Y0) | (~ (sK1 @ X8 @ Y0))))))) | ($true != (sK0 @ X6 @ X5)) | ($true = (sK1 @ X6 @ X7)) | ($true != (sK1 @ X5 @ X7))) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f167])).
% 0.21/0.49 thf(f167,plain,(
% 0.21/0.49 ( ! [X10 : $i,X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (($true != (sK0 @ X6 @ X5)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((X9 @ Y0) | (~ (sK1 @ X8 @ Y0))))))) | ($true != (sK1 @ X5 @ X7)) | ($true = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((X9 @ Y1) | (~ (sK1 @ Y0 @ Y1))))) | (~ (sK0 @ X8 @ Y0)))) @ X10)) | ($true = (sK1 @ X6 @ X7))) )),
% 0.21/0.49 inference(pi_clausification,[],[f166])).
% 0.21/0.49 thf(f166,plain,(
% 0.21/0.49 ( ! [X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (($true != (sK1 @ X5 @ X7)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((X9 @ Y1) | (~ (sK1 @ Y0 @ Y1))))) | (~ (sK0 @ X8 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((X9 @ Y0) | (~ (sK1 @ X8 @ Y0))))))) | ($true = (sK1 @ X6 @ X7)) | ($true != (sK0 @ X6 @ X5))) )),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f165])).
% 0.21/0.49 thf(f165,plain,(
% 0.21/0.49 ( ! [X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (($true != (sK0 @ X6 @ X5)) | ($true = (sK1 @ X6 @ X7)) | ($true != (sK1 @ X5 @ X7)) | (((~ (!! @ $i @ (^[Y0 : $i]: ((X9 @ Y0) | (~ (sK1 @ X8 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((X9 @ Y1) | (~ (sK1 @ Y0 @ Y1))))) | (~ (sK0 @ X8 @ Y0)))))) = $true)) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f164])).
% 0.21/0.49 thf(f164,plain,(
% 0.21/0.49 ( ! [X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (($true != (sK0 @ X6 @ X5)) | ($true = ((^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (sK1 @ X8 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (sK1 @ Y1 @ Y2))))) | (~ (sK0 @ X8 @ Y1))))))) @ X9)) | ($true != (sK1 @ X5 @ X7)) | ($true = (sK1 @ X6 @ X7))) )),
% 0.21/0.49 inference(pi_clausification,[],[f163])).
% 0.21/0.49 thf(f163,plain,(
% 0.21/0.49 ( ! [X8 : $i,X6 : $i,X7 : $i,X5 : $i] : (($true = (sK1 @ X6 @ X7)) | ($true != (sK1 @ X5 @ X7)) | ($true != (sK0 @ X6 @ X5)) | ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (sK1 @ X8 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (sK1 @ Y1 @ Y2))))) | (~ (sK0 @ X8 @ Y1)))))))))) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f162])).
% 0.21/0.49 thf(f162,plain,(
% 0.21/0.49 ( ! [X8 : $i,X6 : $i,X7 : $i,X5 : $i] : (($true != (sK0 @ X6 @ X5)) | ($true != (sK1 @ X5 @ X7)) | ($true = (sK1 @ X6 @ X7)) | ($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (sK1 @ Y0 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (sK1 @ Y2 @ Y3))))) | (~ (sK0 @ Y0 @ Y2))))))))) @ X8))) )),
% 0.21/0.49 inference(pi_clausification,[],[f161])).
% 0.21/0.49 thf(f161,plain,(
% 0.21/0.49 ( ! [X6 : $i,X7 : $i,X5 : $i] : (($true != (sK1 @ X5 @ X7)) | ($true = (sK1 @ X6 @ X7)) | ($true != (sK0 @ X6 @ X5)) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (sK1 @ Y0 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (sK1 @ Y2 @ Y3))))) | (~ (sK0 @ Y0 @ Y2)))))))))))) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f116])).
% 0.21/0.49 thf(f116,plain,(
% 0.21/0.49 ( ! [X6 : $i,X7 : $i,X5 : $i] : (($true != (sK1 @ X5 @ X7)) | ($true != (sK0 @ X6 @ X5)) | ($true = (sK1 @ X6 @ X7)) | ($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]: ((Y3 @ Y5) | (Y4 @ 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)))))))))) @ sK1 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ sK0 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ sK1 @ Y0)))))))) )),
% 0.21/0.49 inference(definition_unfolding,[],[f105,f111,f110,f112,f104,f104,f104])).
% 0.21/0.49 thf(f105,plain,(
% 0.21/0.49 ( ! [X6 : $i,X7 : $i,X5 : $i] : (($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ sK1 @ Y0) @ (mbox @ sK0 @ (mbox @ sK1 @ Y0))))))) | ($true != (sK0 @ X6 @ X5)) | ($true = (sK1 @ X6 @ X7)) | ($true != (sK1 @ X5 @ X7))) )),
% 0.21/0.49 inference(cnf_transformation,[],[f101])).
% 0.21/0.49 thf(f233,plain,(
% 0.21/0.49 spl5_6 | spl5_7),
% 0.21/0.49 inference(avatar_split_clause,[],[f181,f231,f228])).
% 0.21/0.49 thf(f181,plain,(
% 0.21/0.49 ( ! [X10 : $i,X11 : $i,X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (($true = (sK1 @ X8 @ (sK14 @ X8 @ X9))) | ((sK1 @ X10 @ X11) = $false) | ($true != (sK0 @ X6 @ X5)) | ($true = (X9 @ X11)) | ((sK0 @ X8 @ X10) = $false) | ($true = (sK1 @ X6 @ X7)) | ($true != (sK1 @ X5 @ X7))) )),
% 0.21/0.49 inference(not_proxy_clausification,[],[f180])).
% 0.21/0.49 thf(f180,plain,(
% 0.21/0.49 ( ! [X10 : $i,X11 : $i,X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (($true = (X9 @ X11)) | ($true != (sK0 @ X6 @ X5)) | ((sK0 @ X8 @ X10) = $false) | ((~ (sK1 @ X8 @ (sK14 @ X8 @ X9))) = $false) | ($true != (sK1 @ X5 @ X7)) | ($true = (sK1 @ X6 @ X7)) | ((sK1 @ X10 @ X11) = $false)) )),
% 0.21/0.49 inference(not_proxy_clausification,[],[f177])).
% 0.21/0.49 thf(f177,plain,(
% 0.21/0.49 ( ! [X10 : $i,X11 : $i,X8 : $i,X6 : $i,X9 : $i > $o,X7 : $i,X5 : $i] : (($true = (~ (sK1 @ X10 @ X11))) | ($true != (sK0 @ X6 @ X5)) | ($true = (X9 @ X11)) | ($true = (sK1 @ X6 @ X7)) | ($true != (sK1 @ X5 @ X7)) | ((sK0 @ X8 @ X10) = $false) | ((~ (sK1 @ X8 @ (sK14 @ X8 @ X9))) = $false)) )),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f176])).
% 0.21/0.49 thf(f226,plain,(
% 0.21/0.49 spl5_1 | spl5_5),
% 0.21/0.49 inference(avatar_split_clause,[],[f193,f224,f205])).
% 0.21/0.49 thf(f193,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (((sK0 @ sK3 @ sK2) = $true) | ($true = (sK16 @ X1)) | ((sK1 @ sK15 @ X1) = $false)) )),
% 0.21/0.49 inference(not_proxy_clausification,[],[f192])).
% 0.21/0.49 thf(f192,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (($true = (sK16 @ X1)) | ((sK0 @ sK3 @ sK2) = $true) | ($true = (~ (sK1 @ sK15 @ X1)))) )),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f191])).
% 0.21/0.49 thf(f191,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (((sK0 @ sK3 @ sK2) = $true) | ($true = ((sK16 @ X1) | (~ (sK1 @ sK15 @ X1))))) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f190])).
% 0.21/0.49 thf(f190,plain,(
% 0.21/0.49 ( ! [X1 : $i] : (((sK0 @ sK3 @ sK2) = $true) | ($true = ((^[Y0 : $i]: ((sK16 @ Y0) | (~ (sK1 @ sK15 @ Y0)))) @ X1))) )),
% 0.21/0.49 inference(pi_clausification,[],[f189])).
% 0.21/0.49 thf(f189,plain,(
% 0.21/0.49 ((sK0 @ sK3 @ sK2) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((sK16 @ Y0) | (~ (sK1 @ sK15 @ Y0))))))),
% 0.21/0.49 inference(not_proxy_clausification,[],[f188])).
% 0.21/0.49 thf(f188,plain,(
% 0.21/0.49 ((~ (!! @ $i @ (^[Y0 : $i]: ((sK16 @ Y0) | (~ (sK1 @ sK15 @ Y0)))))) = $false) | ((sK0 @ sK3 @ sK2) = $true)),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f186])).
% 0.21/0.49 thf(f186,plain,(
% 0.21/0.49 ((sK0 @ sK3 @ sK2) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK16 @ Y0) | (~ (sK1 @ sK15 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK16 @ Y1) | (~ (sK1 @ Y0 @ Y1))))) | (~ (sK0 @ sK15 @ Y0)))))) = $false)),
% 0.21/0.49 inference(beta_eta_normalization,[],[f185])).
% 0.21/0.49 thf(f185,plain,(
% 0.21/0.49 ((sK0 @ sK3 @ sK2) = $true) | (((^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (sK1 @ sK15 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (sK1 @ Y1 @ Y2))))) | (~ (sK0 @ sK15 @ Y1))))))) @ sK16) = $false)),
% 0.21/0.49 inference(sigma_clausification,[],[f184])).
% 0.21/0.49 thf(f184,plain,(
% 0.21/0.49 ((sK0 @ sK3 @ sK2) = $true) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (sK1 @ sK15 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (sK1 @ Y1 @ Y2))))) | (~ (sK0 @ sK15 @ Y1)))))))) = $false)),
% 0.21/0.49 inference(beta_eta_normalization,[],[f183])).
% 0.21/0.49 thf(f183,plain,(
% 0.21/0.49 (((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (sK1 @ Y0 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (sK1 @ Y2 @ Y3))))) | (~ (sK0 @ Y0 @ Y2))))))))) @ sK15) = $false) | ((sK0 @ sK3 @ sK2) = $true)),
% 0.21/0.49 inference(sigma_clausification,[],[f182])).
% 0.21/0.49 thf(f182,plain,(
% 0.21/0.49 ((sK0 @ sK3 @ sK2) = $true) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (sK1 @ Y0 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (sK1 @ Y2 @ Y3))))) | (~ (sK0 @ Y0 @ Y2)))))))))))),
% 0.21/0.49 inference(beta_eta_normalization,[],[f113])).
% 0.21/0.49 thf(f113,plain,(
% 0.21/0.49 ((sK0 @ sK3 @ sK2) = $true) | ($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]: ((Y3 @ Y5) | (Y4 @ 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)))))))))) @ sK1 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ sK0 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ sK1 @ Y0)))))))),
% 0.21/0.49 inference(definition_unfolding,[],[f108,f111,f110,f112,f104,f104,f104])).
% 0.21/0.49 thf(f108,plain,(
% 0.21/0.49 ($true != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ sK1 @ Y0) @ (mbox @ sK0 @ (mbox @ sK1 @ Y0))))))) | ((sK0 @ sK3 @ sK2) = $true)),
% 0.21/0.49 inference(cnf_transformation,[],[f101])).
% 0.21/0.49 thf(f222,plain,(
% 0.21/0.49 spl5_4 | spl5_1),
% 0.21/0.49 inference(avatar_split_clause,[],[f201,f205,f219])).
% 0.21/0.49 thf(f201,plain,(
% 0.21/0.49 ((sK16 @ sK18) = $false) | ((sK0 @ sK3 @ sK2) = $true)),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f199])).
% 0.21/0.49 thf(f199,plain,(
% 0.21/0.49 (((sK16 @ sK18) | (~ (sK1 @ sK17 @ sK18))) = $false) | ((sK0 @ sK3 @ sK2) = $true)),
% 0.21/0.49 inference(beta_eta_normalization,[],[f198])).
% 0.21/0.49 thf(f198,plain,(
% 0.21/0.49 (((^[Y0 : $i]: ((sK16 @ Y0) | (~ (sK1 @ sK17 @ Y0)))) @ sK18) = $false) | ((sK0 @ sK3 @ sK2) = $true)),
% 0.21/0.49 inference(sigma_clausification,[],[f197])).
% 0.21/0.49 thf(f197,plain,(
% 0.21/0.49 ((!! @ $i @ (^[Y0 : $i]: ((sK16 @ Y0) | (~ (sK1 @ sK17 @ Y0))))) = $false) | ((sK0 @ sK3 @ sK2) = $true)),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f195])).
% 0.21/0.49 thf(f195,plain,(
% 0.21/0.49 (((!! @ $i @ (^[Y0 : $i]: ((sK16 @ Y0) | (~ (sK1 @ sK17 @ Y0))))) | (~ (sK0 @ sK15 @ sK17))) = $false) | ((sK0 @ sK3 @ sK2) = $true)),
% 0.21/0.49 inference(beta_eta_normalization,[],[f194])).
% 0.21/0.49 thf(f194,plain,(
% 0.21/0.49 ((sK0 @ sK3 @ sK2) = $true) | (((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK16 @ Y1) | (~ (sK1 @ Y0 @ Y1))))) | (~ (sK0 @ sK15 @ Y0)))) @ sK17) = $false)),
% 0.21/0.49 inference(sigma_clausification,[],[f187])).
% 0.21/0.49 thf(f187,plain,(
% 0.21/0.49 ((sK0 @ sK3 @ sK2) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK16 @ Y1) | (~ (sK1 @ Y0 @ Y1))))) | (~ (sK0 @ sK15 @ Y0))))) = $false)),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f186])).
% 0.21/0.49 thf(f217,plain,(
% 0.21/0.49 spl5_1 | spl5_3),
% 0.21/0.49 inference(avatar_split_clause,[],[f202,f214,f205])).
% 0.21/0.49 thf(f202,plain,(
% 0.21/0.49 ($true = (sK1 @ sK17 @ sK18)) | ((sK0 @ sK3 @ sK2) = $true)),
% 0.21/0.49 inference(not_proxy_clausification,[],[f200])).
% 0.21/0.49 thf(f200,plain,(
% 0.21/0.49 ((~ (sK1 @ sK17 @ sK18)) = $false) | ((sK0 @ sK3 @ sK2) = $true)),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f199])).
% 0.21/0.49 thf(f212,plain,(
% 0.21/0.49 spl5_1 | spl5_2),
% 0.21/0.49 inference(avatar_split_clause,[],[f203,f209,f205])).
% 0.21/0.49 thf(f203,plain,(
% 0.21/0.49 ((sK0 @ sK3 @ sK2) = $true) | ($true = (sK0 @ sK15 @ sK17))),
% 0.21/0.49 inference(not_proxy_clausification,[],[f196])).
% 0.21/0.49 thf(f196,plain,(
% 0.21/0.49 ((~ (sK0 @ sK15 @ sK17)) = $false) | ((sK0 @ sK3 @ sK2) = $true)),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f195])).
% 0.21/0.49 % SZS output end Proof for theBenchmark
% 0.21/0.49 % (14840)------------------------------
% 0.21/0.49 % (14840)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (14840)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (14840)Memory used [KB]: 6396
% 0.21/0.49 % (14840)Time elapsed: 0.111 s
% 0.21/0.49 % (14840)Instructions burned: 164 (million)
% 0.21/0.49 % (14840)------------------------------
% 0.21/0.49 % (14840)------------------------------
% 0.21/0.49 % (14834)Success in time 0.117 s
% 0.21/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------