TSTP Solution File: LCL881^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL881^1 : 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 : n005.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 55.94s 7.49s
% Output : Refutation 55.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL881^1 : 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
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 00:58:53 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
% 0.15/0.37 % (30789)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)
% 0.15/0.38 % (30788)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)
% 0.15/0.38 % (30790)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.38 % (30792)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)
% 0.15/0.38 % (30794)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)
% 0.15/0.38 % (30787)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.38 % (30791)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)
% 0.15/0.38 % (30790)Instruction limit reached!
% 0.15/0.38 % (30790)------------------------------
% 0.15/0.38 % (30790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (30790)Termination reason: Unknown
% 0.15/0.38 % (30790)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (30790)Memory used [KB]: 1023
% 0.15/0.38 % (30790)Time elapsed: 0.004 s
% 0.15/0.38 % (30790)Instructions burned: 3 (million)
% 0.15/0.38 % (30790)------------------------------
% 0.15/0.38 % (30790)------------------------------
% 0.15/0.38 % (30794)Instruction limit reached!
% 0.15/0.38 % (30794)------------------------------
% 0.15/0.38 % (30794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (30794)Termination reason: Unknown
% 0.15/0.38 % (30794)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (30794)Memory used [KB]: 1023
% 0.15/0.38 % (30794)Time elapsed: 0.003 s
% 0.15/0.38 % (30794)Instructions burned: 3 (million)
% 0.15/0.38 % (30794)------------------------------
% 0.15/0.38 % (30794)------------------------------
% 0.15/0.38 % (30788)Instruction limit reached!
% 0.15/0.38 % (30788)------------------------------
% 0.15/0.38 % (30788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (30788)Termination reason: Unknown
% 0.15/0.38 % (30788)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (30788)Memory used [KB]: 1151
% 0.15/0.38 % (30788)Time elapsed: 0.005 s
% 0.15/0.38 % (30788)Instructions burned: 5 (million)
% 0.15/0.38 % (30788)------------------------------
% 0.15/0.38 % (30788)------------------------------
% 0.15/0.38 % (30791)Instruction limit reached!
% 0.15/0.38 % (30791)------------------------------
% 0.15/0.38 % (30791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (30791)Termination reason: Unknown
% 0.15/0.38 % (30791)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (30791)Memory used [KB]: 1023
% 0.15/0.38 % (30791)Time elapsed: 0.004 s
% 0.15/0.38 % (30791)Instructions burned: 3 (million)
% 0.15/0.38 % (30791)------------------------------
% 0.15/0.38 % (30791)------------------------------
% 0.15/0.38 % (30789)Instruction limit reached!
% 0.15/0.38 % (30789)------------------------------
% 0.15/0.38 % (30789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (30789)Termination reason: Unknown
% 0.15/0.38 % (30789)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (30789)Memory used [KB]: 5756
% 0.15/0.38 % (30789)Time elapsed: 0.010 s
% 0.15/0.38 % (30789)Instructions burned: 29 (million)
% 0.15/0.38 % (30789)------------------------------
% 0.15/0.38 % (30789)------------------------------
% 0.15/0.38 % (30793)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.39 % (30792)Refutation not found, incomplete strategy
% 0.15/0.39 % (30792)------------------------------
% 0.15/0.39 % (30792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (30792)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39
% 0.15/0.39
% 0.15/0.39 % (30792)Memory used [KB]: 5628
% 0.15/0.39 % (30792)Time elapsed: 0.010 s
% 0.15/0.39 % (30792)Instructions burned: 16 (million)
% 0.15/0.39 % (30792)------------------------------
% 0.15/0.39 % (30792)------------------------------
% 0.15/0.39 % (30804)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.39 % (30793)Instruction limit reached!
% 0.15/0.39 % (30793)------------------------------
% 0.15/0.39 % (30793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (30793)Termination reason: Unknown
% 0.15/0.39 % (30793)Termination phase: Property scanning
% 0.15/0.39
% 0.15/0.39 % (30793)Memory used [KB]: 1151
% 0.15/0.39 % (30793)Time elapsed: 0.011 s
% 0.15/0.39 % (30793)Instructions burned: 18 (million)
% 0.15/0.39 % (30793)------------------------------
% 0.15/0.39 % (30793)------------------------------
% 0.15/0.39 % (30804)Instruction limit reached!
% 0.15/0.39 % (30804)------------------------------
% 0.15/0.39 % (30804)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (30804)Termination reason: Unknown
% 0.15/0.39 % (30804)Termination phase: Property scanning
% 0.15/0.39
% 0.15/0.39 % (30804)Memory used [KB]: 1151
% 0.15/0.39 % (30804)Time elapsed: 0.004 s
% 0.15/0.39 % (30804)Instructions burned: 10 (million)
% 0.15/0.39 % (30804)------------------------------
% 0.15/0.39 % (30804)------------------------------
% 0.15/0.40 % (30801)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)
% 0.15/0.40 % (30802)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)
% 0.15/0.40 % (30800)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 % (30802)Instruction limit reached!
% 0.15/0.40 % (30802)------------------------------
% 0.15/0.40 % (30802)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (30802)Termination reason: Unknown
% 0.15/0.40 % (30802)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (30802)Memory used [KB]: 1023
% 0.15/0.40 % (30802)Time elapsed: 0.004 s
% 0.15/0.40 % (30802)Instructions burned: 4 (million)
% 0.15/0.40 % (30802)------------------------------
% 0.15/0.40 % (30802)------------------------------
% 0.15/0.40 % (30803)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)
% 0.15/0.40 % (30809)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)
% 0.15/0.40 % (30801)Instruction limit reached!
% 0.15/0.40 % (30801)------------------------------
% 0.15/0.40 % (30801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (30801)Termination reason: Unknown
% 0.15/0.40 % (30801)Termination phase: Function definition elimination
% 0.15/0.40
% 0.15/0.40 % (30801)Memory used [KB]: 1151
% 0.15/0.40 % (30801)Time elapsed: 0.009 s
% 0.15/0.40 % (30801)Instructions burned: 15 (million)
% 0.15/0.40 % (30801)------------------------------
% 0.15/0.40 % (30801)------------------------------
% 0.15/0.40 % (30806)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.41 % (30809)Instruction limit reached!
% 0.15/0.41 % (30809)------------------------------
% 0.15/0.41 % (30809)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (30809)Termination reason: Unknown
% 0.15/0.41 % (30809)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (30809)Memory used [KB]: 1151
% 0.15/0.41 % (30809)Time elapsed: 0.003 s
% 0.15/0.41 % (30809)Instructions burned: 6 (million)
% 0.15/0.41 % (30809)------------------------------
% 0.15/0.41 % (30809)------------------------------
% 0.22/0.41 % (30808)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)
% 0.22/0.41 % (30806)Instruction limit reached!
% 0.22/0.41 % (30806)------------------------------
% 0.22/0.41 % (30806)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (30806)Termination reason: Unknown
% 0.22/0.41 % (30806)Termination phase: Function definition elimination
% 0.22/0.41
% 0.22/0.41 % (30806)Memory used [KB]: 1151
% 0.22/0.41 % (30806)Time elapsed: 0.010 s
% 0.22/0.41 % (30806)Instructions burned: 16 (million)
% 0.22/0.41 % (30806)------------------------------
% 0.22/0.41 % (30806)------------------------------
% 0.22/0.41 % (30808)Instruction limit reached!
% 0.22/0.41 % (30808)------------------------------
% 0.22/0.41 % (30808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (30808)Termination reason: Unknown
% 0.22/0.41 % (30808)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (30808)Memory used [KB]: 1023
% 0.22/0.41 % (30813)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.41 % (30808)Time elapsed: 0.004 s
% 0.22/0.41 % (30808)Instructions burned: 4 (million)
% 0.22/0.41 % (30808)------------------------------
% 0.22/0.41 % (30808)------------------------------
% 0.22/0.41 % (30810)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)
% 0.22/0.41 % (30800)Instruction limit reached!
% 0.22/0.41 % (30800)------------------------------
% 0.22/0.41 % (30800)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (30800)Termination reason: Unknown
% 0.22/0.41 % (30800)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (30800)Memory used [KB]: 5756
% 0.22/0.41 % (30800)Time elapsed: 0.019 s
% 0.22/0.41 % (30800)Instructions burned: 37 (million)
% 0.22/0.41 % (30800)------------------------------
% 0.22/0.41 % (30800)------------------------------
% 0.22/0.42 % (30813)Instruction limit reached!
% 0.22/0.42 % (30813)------------------------------
% 0.22/0.42 % (30813)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (30813)Termination reason: Unknown
% 0.22/0.42 % (30813)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (30813)Memory used [KB]: 1151
% 0.22/0.42 % (30813)Time elapsed: 0.003 s
% 0.22/0.42 % (30813)Instructions burned: 7 (million)
% 0.22/0.42 % (30813)------------------------------
% 0.22/0.42 % (30813)------------------------------
% 0.22/0.42 % (30810)Instruction limit reached!
% 0.22/0.42 % (30810)------------------------------
% 0.22/0.42 % (30810)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (30810)Termination reason: Unknown
% 0.22/0.42 % (30810)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (30810)Memory used [KB]: 1151
% 0.22/0.42 % (30810)Time elapsed: 0.006 s
% 0.22/0.42 % (30810)Instructions burned: 8 (million)
% 0.22/0.42 % (30810)------------------------------
% 0.22/0.42 % (30810)------------------------------
% 0.22/0.42 % (30812)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)
% 0.22/0.42 % (30812)Instruction limit reached!
% 0.22/0.42 % (30812)------------------------------
% 0.22/0.42 % (30812)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (30812)Termination reason: Unknown
% 0.22/0.42 % (30812)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (30812)Memory used [KB]: 1023
% 0.22/0.42 % (30812)Time elapsed: 0.004 s
% 0.22/0.42 % (30812)Instructions burned: 4 (million)
% 0.22/0.42 % (30812)------------------------------
% 0.22/0.42 % (30812)------------------------------
% 0.22/0.43 % (30817)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)
% 0.22/0.43 % (30823)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)
% 0.22/0.43 % (30818)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.43 % (30820)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.43 % (30820)Instruction limit reached!
% 0.22/0.43 % (30820)------------------------------
% 0.22/0.43 % (30820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (30820)Termination reason: Unknown
% 0.22/0.43 % (30820)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (30820)Memory used [KB]: 1151
% 0.22/0.43 % (30820)Time elapsed: 0.005 s
% 0.22/0.43 % (30820)Instructions burned: 7 (million)
% 0.22/0.43 % (30820)------------------------------
% 0.22/0.43 % (30820)------------------------------
% 0.22/0.43 % (30823)Refutation not found, incomplete strategy
% 0.22/0.43 % (30823)------------------------------
% 0.22/0.43 % (30823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (30823)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43
% 0.22/0.43 % (30823)Memory used [KB]: 5628
% 0.22/0.43 % (30823)Time elapsed: 0.007 s
% 0.22/0.43 % (30823)Instructions burned: 18 (million)
% 0.22/0.43 % (30823)------------------------------
% 0.22/0.43 % (30823)------------------------------
% 0.22/0.44 % (30824)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)
% 0.22/0.44 % (30817)Instruction limit reached!
% 0.22/0.44 % (30817)------------------------------
% 0.22/0.44 % (30817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (30826)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.44 % (30817)Termination reason: Unknown
% 0.22/0.44 % (30817)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (30817)Memory used [KB]: 5628
% 0.22/0.44 % (30817)Time elapsed: 0.012 s
% 0.22/0.44 % (30817)Instructions burned: 19 (million)
% 0.22/0.44 % (30817)------------------------------
% 0.22/0.44 % (30817)------------------------------
% 0.22/0.44 % (30826)Instruction limit reached!
% 0.22/0.44 % (30826)------------------------------
% 0.22/0.44 % (30826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (30826)Termination reason: Unknown
% 0.22/0.44 % (30826)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (30826)Memory used [KB]: 1151
% 0.22/0.44 % (30826)Time elapsed: 0.004 s
% 0.22/0.44 % (30826)Instructions burned: 5 (million)
% 0.22/0.44 % (30826)------------------------------
% 0.22/0.44 % (30826)------------------------------
% 0.22/0.44 % (30839)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.45 % (30824)Instruction limit reached!
% 0.22/0.45 % (30824)------------------------------
% 0.22/0.45 % (30824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (30824)Termination reason: Unknown
% 0.22/0.45 % (30824)Termination phase: Property scanning
% 0.22/0.45
% 0.22/0.45 % (30824)Memory used [KB]: 1151
% 0.22/0.45 % (30824)Time elapsed: 0.012 s
% 0.22/0.45 % (30824)Instructions burned: 22 (million)
% 0.22/0.45 % (30824)------------------------------
% 0.22/0.45 % (30824)------------------------------
% 0.22/0.45 % (30838)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)
% 0.22/0.45 % (30838)Instruction limit reached!
% 0.22/0.45 % (30838)------------------------------
% 0.22/0.45 % (30838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (30838)Termination reason: Unknown
% 0.22/0.45 % (30838)Termination phase: Property scanning
% 0.22/0.45
% 0.22/0.45 % (30838)Memory used [KB]: 1151
% 0.22/0.45 % (30838)Time elapsed: 0.005 s
% 0.22/0.45 % (30838)Instructions burned: 6 (million)
% 0.22/0.45 % (30838)------------------------------
% 0.22/0.45 % (30838)------------------------------
% 0.22/0.45 % (30841)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)
% 0.22/0.46 % (30842)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)
% 0.22/0.46 % (30846)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)
% 0.22/0.47 % (30850)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.22/0.47 % (30842)Instruction limit reached!
% 0.22/0.47 % (30842)------------------------------
% 0.22/0.47 % (30842)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (30842)Termination reason: Unknown
% 0.22/0.47 % (30842)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (30842)Memory used [KB]: 5756
% 0.22/0.47 % (30842)Time elapsed: 0.013 s
% 0.22/0.47 % (30842)Instructions burned: 19 (million)
% 0.22/0.47 % (30842)------------------------------
% 0.22/0.47 % (30842)------------------------------
% 0.22/0.47 % (30787)Instruction limit reached!
% 0.22/0.47 % (30787)------------------------------
% 0.22/0.47 % (30787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (30787)Termination reason: Unknown
% 0.22/0.47 % (30787)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (30787)Memory used [KB]: 6140
% 0.22/0.47 % (30787)Time elapsed: 0.094 s
% 0.22/0.47 % (30787)Instructions burned: 185 (million)
% 0.22/0.47 % (30787)------------------------------
% 0.22/0.47 % (30787)------------------------------
% 0.22/0.47 % (30850)Instruction limit reached!
% 0.22/0.47 % (30850)------------------------------
% 0.22/0.47 % (30850)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (30850)Termination reason: Unknown
% 0.22/0.47 % (30850)Termination phase: Property scanning
% 0.22/0.47
% 0.22/0.47 % (30850)Memory used [KB]: 1151
% 0.22/0.47 % (30850)Time elapsed: 0.008 s
% 0.22/0.47 % (30850)Instructions burned: 20 (million)
% 0.22/0.47 % (30850)------------------------------
% 0.22/0.47 % (30850)------------------------------
% 0.22/0.48 % (30862)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.48 % (30862)Instruction limit reached!
% 0.22/0.48 % (30862)------------------------------
% 0.22/0.48 % (30862)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (30862)Termination reason: Unknown
% 0.22/0.48 % (30862)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (30862)Memory used [KB]: 1023
% 0.22/0.48 % (30862)Time elapsed: 0.003 s
% 0.22/0.48 % (30862)Instructions burned: 3 (million)
% 0.22/0.48 % (30862)------------------------------
% 0.22/0.48 % (30862)------------------------------
% 0.22/0.48 % (30867)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.22/0.48 % (30868)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 (2999ds/127Mi)
% 0.22/0.49 % (30872)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)
% 0.22/0.49 % (30867)Instruction limit reached!
% 0.22/0.49 % (30867)------------------------------
% 0.22/0.49 % (30867)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (30867)Termination reason: Unknown
% 0.22/0.49 % (30867)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (30867)Memory used [KB]: 5756
% 0.22/0.49 % (30867)Time elapsed: 0.010 s
% 0.22/0.49 % (30867)Instructions burned: 31 (million)
% 0.22/0.49 % (30867)------------------------------
% 0.22/0.49 % (30867)------------------------------
% 0.22/0.50 % (30883)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)
% 0.22/0.50 % (30883)Instruction limit reached!
% 0.22/0.50 % (30883)------------------------------
% 0.22/0.50 % (30883)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (30883)Termination reason: Unknown
% 0.22/0.50 % (30883)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (30883)Memory used [KB]: 1151
% 0.22/0.50 % (30883)Time elapsed: 0.003 s
% 0.22/0.50 % (30883)Instructions burned: 5 (million)
% 0.22/0.50 % (30883)------------------------------
% 0.22/0.50 % (30883)------------------------------
% 0.22/0.51 % (30893)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)
% 0.22/0.51 % (30893)Instruction limit reached!
% 0.22/0.51 % (30893)------------------------------
% 0.22/0.51 % (30893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (30893)Termination reason: Unknown
% 0.22/0.51 % (30893)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (30893)Memory used [KB]: 5628
% 0.22/0.51 % (30893)Time elapsed: 0.007 s
% 0.22/0.51 % (30893)Instructions burned: 20 (million)
% 0.22/0.51 % (30893)------------------------------
% 0.22/0.51 % (30893)------------------------------
% 0.22/0.52 % (30872)Instruction limit reached!
% 0.22/0.52 % (30872)------------------------------
% 0.22/0.52 % (30872)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (30872)Termination reason: Unknown
% 0.22/0.52 % (30872)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (30872)Memory used [KB]: 6012
% 0.22/0.52 % (30872)Time elapsed: 0.032 s
% 0.22/0.52 % (30872)Instructions burned: 101 (million)
% 0.22/0.52 % (30872)------------------------------
% 0.22/0.52 % (30872)------------------------------
% 0.22/0.52 % (30868)Instruction limit reached!
% 0.22/0.52 % (30868)------------------------------
% 0.22/0.52 % (30868)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (30868)Termination reason: Unknown
% 0.22/0.52 % (30868)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (30868)Memory used [KB]: 6012
% 0.22/0.52 % (30868)Time elapsed: 0.038 s
% 0.22/0.52 % (30868)Instructions burned: 128 (million)
% 0.22/0.52 % (30868)------------------------------
% 0.22/0.52 % (30868)------------------------------
% 0.22/0.53 % (30899)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)
% 0.22/0.53 % (30902)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 (2998ds/107Mi)
% 0.22/0.53 % (30904)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 (2998ds/39Mi)
% 0.22/0.55 % (30904)Instruction limit reached!
% 0.22/0.55 % (30904)------------------------------
% 0.22/0.55 % (30904)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (30904)Termination reason: Unknown
% 0.22/0.55 % (30904)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (30904)Memory used [KB]: 5884
% 0.22/0.55 % (30904)Time elapsed: 0.021 s
% 0.22/0.55 % (30904)Instructions burned: 41 (million)
% 0.22/0.55 % (30904)------------------------------
% 0.22/0.55 % (30904)------------------------------
% 0.22/0.57 % (30917)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 (2998ds/448Mi)
% 0.22/0.58 % (30902)Instruction limit reached!
% 0.22/0.58 % (30902)------------------------------
% 0.22/0.58 % (30902)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.58 % (30902)Termination reason: Unknown
% 0.22/0.58 % (30902)Termination phase: Saturation
% 0.22/0.58
% 0.22/0.58 % (30902)Memory used [KB]: 6012
% 0.22/0.58 % (30902)Time elapsed: 0.051 s
% 0.22/0.58 % (30902)Instructions burned: 108 (million)
% 0.22/0.58 % (30902)------------------------------
% 0.22/0.58 % (30902)------------------------------
% 0.22/0.58 % (30839)Instruction limit reached!
% 0.22/0.58 % (30839)------------------------------
% 0.22/0.58 % (30839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.58 % (30839)Termination reason: Unknown
% 0.22/0.58 % (30839)Termination phase: Saturation
% 0.22/0.58
% 0.22/0.58 % (30839)Memory used [KB]: 7419
% 0.22/0.58 % (30839)Time elapsed: 0.140 s
% 0.22/0.58 % (30839)Instructions burned: 378 (million)
% 0.22/0.58 % (30839)------------------------------
% 0.22/0.58 % (30839)------------------------------
% 0.22/0.58 % (30899)Instruction limit reached!
% 0.22/0.58 % (30899)------------------------------
% 0.22/0.58 % (30899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.58 % (30899)Termination reason: Unknown
% 0.22/0.58 % (30899)Termination phase: Saturation
% 0.22/0.58
% 0.22/0.58 % (30899)Memory used [KB]: 5884
% 0.22/0.58 % (30899)Time elapsed: 0.043 s
% 0.22/0.58 % (30899)Instructions burned: 87 (million)
% 0.22/0.58 % (30899)------------------------------
% 0.22/0.58 % (30899)------------------------------
% 1.88/0.59 % (30919)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)
% 1.88/0.60 % (30918)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)
% 1.88/0.60 % (30920)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)
% 1.98/0.62 % (30918)Instruction limit reached!
% 1.98/0.62 % (30918)------------------------------
% 1.98/0.62 % (30918)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.62 % (30918)Termination reason: Unknown
% 1.98/0.62 % (30918)Termination phase: Saturation
% 1.98/0.62
% 1.98/0.62 % (30918)Memory used [KB]: 5884
% 1.98/0.62 % (30918)Time elapsed: 0.028 s
% 1.98/0.62 % (30918)Instructions burned: 46 (million)
% 1.98/0.62 % (30918)------------------------------
% 1.98/0.62 % (30918)------------------------------
% 1.98/0.62 % (30920)Refutation not found, incomplete strategy
% 1.98/0.62 % (30920)------------------------------
% 1.98/0.62 % (30920)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.62 % (30920)Termination reason: Refutation not found, incomplete strategy
% 1.98/0.62
% 1.98/0.62
% 1.98/0.62 % (30920)Memory used [KB]: 5884
% 1.98/0.62 % (30920)Time elapsed: 0.046 s
% 1.98/0.62 % (30920)Instructions burned: 49 (million)
% 1.98/0.62 % (30920)------------------------------
% 1.98/0.62 % (30920)------------------------------
% 1.98/0.64 % (30921)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)
% 1.98/0.64 % (30919)Instruction limit reached!
% 1.98/0.64 % (30919)------------------------------
% 1.98/0.64 % (30919)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.98/0.64 % (30919)Termination reason: Unknown
% 1.98/0.64 % (30919)Termination phase: Saturation
% 1.98/0.64
% 1.98/0.64 % (30919)Memory used [KB]: 1535
% 1.98/0.64 % (30919)Time elapsed: 0.044 s
% 1.98/0.64 % (30919)Instructions burned: 100 (million)
% 1.98/0.64 % (30919)------------------------------
% 1.98/0.64 % (30919)------------------------------
% 1.98/0.64 % (30922)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.30/0.65 % (30923)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 (2997ds/6Mi)
% 2.30/0.65 % (30923)Instruction limit reached!
% 2.30/0.65 % (30923)------------------------------
% 2.30/0.65 % (30923)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.30/0.65 % (30923)Termination reason: Unknown
% 2.30/0.65 % (30923)Termination phase: Property scanning
% 2.30/0.65
% 2.30/0.65 % (30923)Memory used [KB]: 1151
% 2.30/0.65 % (30923)Time elapsed: 0.005 s
% 2.30/0.65 % (30923)Instructions burned: 8 (million)
% 2.30/0.65 % (30923)------------------------------
% 2.30/0.65 % (30923)------------------------------
% 2.30/0.66 % (30922)Instruction limit reached!
% 2.30/0.66 % (30922)------------------------------
% 2.30/0.66 % (30922)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.30/0.66 % (30922)Termination reason: Unknown
% 2.30/0.66 % (30922)Termination phase: Saturation
% 2.30/0.66
% 2.30/0.66 % (30922)Memory used [KB]: 5756
% 2.30/0.66 % (30922)Time elapsed: 0.021 s
% 2.30/0.66 % (30922)Instructions burned: 41 (million)
% 2.30/0.66 % (30922)------------------------------
% 2.30/0.66 % (30922)------------------------------
% 2.30/0.67 % (30924)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 (2997ds/1087Mi)
% 2.30/0.67 % (30925)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 2.30/0.69 % (30924)Refutation not found, incomplete strategy
% 2.30/0.69 % (30924)------------------------------
% 2.30/0.69 % (30924)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.30/0.69 % (30924)Termination reason: Refutation not found, incomplete strategy
% 2.30/0.69
% 2.30/0.69
% 2.30/0.69 % (30924)Memory used [KB]: 5756
% 2.30/0.69 % (30924)Time elapsed: 0.043 s
% 2.30/0.69 % (30924)Instructions burned: 44 (million)
% 2.30/0.69 % (30924)------------------------------
% 2.30/0.69 % (30924)------------------------------
% 2.30/0.69 % (30925)Instruction limit reached!
% 2.30/0.69 % (30925)------------------------------
% 2.30/0.69 % (30925)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.30/0.69 % (30925)Termination reason: Unknown
% 2.30/0.69 % (30925)Termination phase: Saturation
% 2.30/0.69
% 2.30/0.69 % (30925)Memory used [KB]: 5756
% 2.30/0.69 % (30925)Time elapsed: 0.025 s
% 2.30/0.69 % (30925)Instructions burned: 47 (million)
% 2.30/0.69 % (30925)------------------------------
% 2.30/0.69 % (30925)------------------------------
% 2.30/0.70 % (30926)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)
% 2.30/0.71 % (30927)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)
% 2.30/0.71 % (30921)Instruction limit reached!
% 2.30/0.71 % (30921)------------------------------
% 2.30/0.71 % (30921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.30/0.71 % (30921)Termination reason: Unknown
% 2.30/0.71 % (30921)Termination phase: Saturation
% 2.30/0.71
% 2.30/0.71 % (30921)Memory used [KB]: 6268
% 2.30/0.71 % (30921)Time elapsed: 0.080 s
% 2.30/0.71 % (30921)Instructions burned: 149 (million)
% 2.30/0.71 % (30921)------------------------------
% 2.30/0.71 % (30921)------------------------------
% 2.30/0.72 % (30926)Instruction limit reached!
% 2.30/0.72 % (30926)------------------------------
% 2.30/0.72 % (30926)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.30/0.72 % (30926)Termination reason: Unknown
% 2.30/0.72 % (30926)Termination phase: Saturation
% 2.30/0.72
% 2.30/0.72 % (30926)Memory used [KB]: 1279
% 2.30/0.72 % (30926)Time elapsed: 0.020 s
% 2.30/0.72 % (30926)Instructions burned: 44 (million)
% 2.30/0.72 % (30926)------------------------------
% 2.30/0.72 % (30926)------------------------------
% 2.30/0.73 % (30928)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)
% 3.00/0.73 % (30929)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 (2996ds/31Mi)
% 3.00/0.74 % (30929)Instruction limit reached!
% 3.00/0.74 % (30929)------------------------------
% 3.00/0.74 % (30929)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.00/0.74 % (30929)Termination reason: Unknown
% 3.00/0.74 % (30929)Termination phase: Saturation
% 3.00/0.74
% 3.00/0.74 % (30929)Memory used [KB]: 5756
% 3.00/0.74 % (30929)Time elapsed: 0.014 s
% 3.00/0.74 % (30929)Instructions burned: 31 (million)
% 3.00/0.74 % (30929)------------------------------
% 3.00/0.74 % (30929)------------------------------
% 3.00/0.76 % (30928)Instruction limit reached!
% 3.00/0.76 % (30928)------------------------------
% 3.00/0.76 % (30928)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.00/0.76 % (30928)Termination reason: Unknown
% 3.00/0.76 % (30928)Termination phase: Saturation
% 3.00/0.76
% 3.00/0.76 % (30928)Memory used [KB]: 5884
% 3.00/0.76 % (30928)Time elapsed: 0.052 s
% 3.00/0.76 % (30928)Instructions burned: 62 (million)
% 3.00/0.76 % (30928)------------------------------
% 3.00/0.76 % (30928)------------------------------
% 3.00/0.76 % (30930)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 3.00/0.77 % (30931)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2996ds/453Mi)
% 3.33/0.80 % (30930)Instruction limit reached!
% 3.33/0.80 % (30930)------------------------------
% 3.33/0.80 % (30930)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.33/0.80 % (30930)Termination reason: Unknown
% 3.33/0.80 % (30930)Termination phase: Saturation
% 3.33/0.80
% 3.33/0.80 % (30930)Memory used [KB]: 6012
% 3.33/0.80 % (30930)Time elapsed: 0.040 s
% 3.33/0.80 % (30930)Instructions burned: 96 (million)
% 3.33/0.80 % (30930)------------------------------
% 3.33/0.80 % (30930)------------------------------
% 3.33/0.80 % (30917)Instruction limit reached!
% 3.33/0.80 % (30917)------------------------------
% 3.33/0.80 % (30917)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.33/0.80 % (30917)Termination reason: Unknown
% 3.33/0.80 % (30917)Termination phase: Saturation
% 3.33/0.80
% 3.33/0.80 % (30917)Memory used [KB]: 6780
% 3.33/0.80 % (30917)Time elapsed: 0.236 s
% 3.33/0.80 % (30917)Instructions burned: 448 (million)
% 3.33/0.80 % (30917)------------------------------
% 3.33/0.80 % (30917)------------------------------
% 3.33/0.80 % (30841)Instruction limit reached!
% 3.33/0.80 % (30841)------------------------------
% 3.33/0.80 % (30841)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.33/0.80 % (30841)Termination reason: Unknown
% 3.33/0.80 % (30841)Termination phase: Saturation
% 3.33/0.80
% 3.33/0.80 % (30841)Memory used [KB]: 6908
% 3.33/0.80 % (30841)Time elapsed: 0.354 s
% 3.33/0.80 % (30841)Instructions burned: 781 (million)
% 3.33/0.80 % (30841)------------------------------
% 3.33/0.80 % (30841)------------------------------
% 3.33/0.81 % (30818)Instruction limit reached!
% 3.33/0.81 % (30818)------------------------------
% 3.33/0.81 % (30818)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.33/0.81 % (30818)Termination reason: Unknown
% 3.33/0.81 % (30818)Termination phase: Saturation
% 3.33/0.81
% 3.33/0.81 % (30818)Memory used [KB]: 8955
% 3.33/0.81 % (30818)Time elapsed: 0.380 s
% 3.33/0.81 % (30818)Instructions burned: 710 (million)
% 3.33/0.81 % (30818)------------------------------
% 3.33/0.81 % (30818)------------------------------
% 3.33/0.81 % (30932)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2995ds/71Mi)
% 3.33/0.82 % (30933)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2995ds/83Mi)
% 3.33/0.82 % (30934)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2995ds/11Mi)
% 3.33/0.82 % (30935)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2995ds/41Mi)
% 3.33/0.82 % (30934)Instruction limit reached!
% 3.33/0.82 % (30934)------------------------------
% 3.33/0.82 % (30934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.33/0.82 % (30934)Termination reason: Unknown
% 3.33/0.82 % (30934)Termination phase: Property scanning
% 3.33/0.82
% 3.33/0.82 % (30934)Memory used [KB]: 1151
% 3.33/0.82 % (30934)Time elapsed: 0.007 s
% 3.33/0.82 % (30934)Instructions burned: 13 (million)
% 3.33/0.82 % (30934)------------------------------
% 3.33/0.82 % (30934)------------------------------
% 3.33/0.84 % (30936)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 3.33/0.84 % (30932)Instruction limit reached!
% 3.33/0.84 % (30932)------------------------------
% 3.33/0.84 % (30932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.33/0.84 % (30932)Termination reason: Unknown
% 3.33/0.84 % (30932)Termination phase: Saturation
% 3.33/0.84
% 3.33/0.84 % (30932)Memory used [KB]: 6012
% 3.33/0.84 % (30932)Time elapsed: 0.055 s
% 3.33/0.84 % (30932)Instructions burned: 71 (million)
% 3.33/0.84 % (30932)------------------------------
% 3.33/0.84 % (30932)------------------------------
% 3.33/0.84 % (30935)Instruction limit reached!
% 3.33/0.84 % (30935)------------------------------
% 3.33/0.84 % (30935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.33/0.84 % (30935)Termination reason: Unknown
% 3.33/0.84 % (30935)Termination phase: Saturation
% 3.33/0.84
% 3.33/0.84 % (30935)Memory used [KB]: 5884
% 3.33/0.84 % (30935)Time elapsed: 0.019 s
% 3.33/0.84 % (30935)Instructions burned: 42 (million)
% 3.33/0.84 % (30935)------------------------------
% 3.33/0.84 % (30935)------------------------------
% 3.33/0.84 % (30936)Instruction limit reached!
% 3.33/0.84 % (30936)------------------------------
% 3.33/0.84 % (30936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.33/0.84 % (30936)Termination reason: Unknown
% 3.33/0.84 % (30936)Termination phase: shuffling
% 3.33/0.84
% 3.33/0.84 % (30936)Memory used [KB]: 1151
% 3.33/0.84 % (30936)Time elapsed: 0.005 s
% 3.33/0.84 % (30936)Instructions burned: 7 (million)
% 3.33/0.84 % (30936)------------------------------
% 3.33/0.84 % (30936)------------------------------
% 3.33/0.85 % (30846)Instruction limit reached!
% 3.33/0.85 % (30846)------------------------------
% 3.33/0.85 % (30846)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.33/0.85 % (30846)Termination reason: Unknown
% 3.33/0.85 % (30846)Termination phase: Saturation
% 3.33/0.85
% 3.33/0.85 % (30846)Memory used [KB]: 8571
% 3.33/0.85 % (30846)Time elapsed: 0.388 s
% 3.33/0.85 % (30846)Instructions burned: 880 (million)
% 3.33/0.85 % (30846)------------------------------
% 3.33/0.85 % (30846)------------------------------
% 3.33/0.85 % (30937)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2995ds/150Mi)
% 3.33/0.85 % (30938)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2995ds/343Mi)
% 3.71/0.85 % (30933)Instruction limit reached!
% 3.71/0.85 % (30933)------------------------------
% 3.71/0.85 % (30933)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.71/0.85 % (30933)Termination reason: Unknown
% 3.71/0.85 % (30933)Termination phase: Saturation
% 3.71/0.85
% 3.71/0.85 % (30933)Memory used [KB]: 5756
% 3.71/0.85 % (30933)Time elapsed: 0.039 s
% 3.71/0.85 % (30933)Instructions burned: 85 (million)
% 3.71/0.85 % (30933)------------------------------
% 3.71/0.85 % (30933)------------------------------
% 3.71/0.85 % (30939)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2995ds/109Mi)
% 3.71/0.86 % (30940)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2995ds/253Mi)
% 3.78/0.87 % (30941)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2995ds/140Mi)
% 3.78/0.87 % (30940)Refutation not found, incomplete strategy
% 3.78/0.87 % (30940)------------------------------
% 3.78/0.87 % (30940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.78/0.87 % (30940)Termination reason: Refutation not found, incomplete strategy
% 3.78/0.87
% 3.78/0.87
% 3.78/0.87 % (30940)Memory used [KB]: 5628
% 3.78/0.87 % (30940)Time elapsed: 0.010 s
% 3.78/0.87 % (30940)Instructions burned: 16 (million)
% 3.78/0.87 % (30940)------------------------------
% 3.78/0.87 % (30940)------------------------------
% 3.78/0.87 % (30938)Refutation not found, incomplete strategy
% 3.78/0.87 % (30938)------------------------------
% 3.78/0.87 % (30938)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.78/0.87 % (30938)Termination reason: Refutation not found, incomplete strategy
% 3.78/0.87
% 3.78/0.87
% 3.78/0.87 % (30938)Memory used [KB]: 5884
% 3.78/0.87 % (30938)Time elapsed: 0.022 s
% 3.78/0.87 % (30938)Instructions burned: 45 (million)
% 3.78/0.87 % (30938)------------------------------
% 3.78/0.87 % (30938)------------------------------
% 3.78/0.88 % (30803)Instruction limit reached!
% 3.78/0.88 % (30803)------------------------------
% 3.78/0.88 % (30803)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.78/0.88 % (30803)Termination reason: Unknown
% 3.78/0.88 % (30803)Termination phase: Saturation
% 3.78/0.88
% 3.78/0.88 % (30803)Memory used [KB]: 8443
% 3.78/0.88 % (30803)Time elapsed: 0.483 s
% 3.78/0.88 % (30803)Instructions burned: 1042 (million)
% 3.78/0.88 % (30803)------------------------------
% 3.78/0.88 % (30803)------------------------------
% 3.78/0.88 % (30941)Refutation not found, incomplete strategy
% 3.78/0.88 % (30941)------------------------------
% 3.78/0.88 % (30941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.78/0.88 % (30941)Termination reason: Refutation not found, incomplete strategy
% 3.78/0.88
% 3.78/0.88
% 3.78/0.88 % (30941)Memory used [KB]: 5756
% 3.78/0.88 % (30941)Time elapsed: 0.017 s
% 3.78/0.88 % (30941)Instructions burned: 34 (million)
% 3.78/0.88 % (30941)------------------------------
% 3.78/0.88 % (30941)------------------------------
% 3.78/0.88 % (30942)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2994ds/614Mi)
% 3.78/0.89 % (30943)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2994ds/202Mi)
% 3.78/0.89 % (30943)Refutation not found, incomplete strategy
% 3.78/0.89 % (30943)------------------------------
% 3.78/0.89 % (30943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.78/0.89 % (30943)Termination reason: Refutation not found, incomplete strategy
% 3.78/0.89
% 3.78/0.89
% 3.78/0.89 % (30943)Memory used [KB]: 5628
% 3.78/0.89 % (30943)Time elapsed: 0.010 s
% 3.78/0.89 % (30943)Instructions burned: 17 (million)
% 3.78/0.89 % (30943)------------------------------
% 3.78/0.89 % (30943)------------------------------
% 3.78/0.89 % (30944)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2994ds/339Mi)
% 3.78/0.90 % (30945)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=283:si=on:rtra=on_0 on theBenchmark for (2994ds/283Mi)
% 3.78/0.90 % (30939)Instruction limit reached!
% 3.78/0.90 % (30939)------------------------------
% 3.78/0.90 % (30939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.78/0.90 % (30939)Termination reason: Unknown
% 3.78/0.90 % (30939)Termination phase: Saturation
% 3.78/0.90
% 3.78/0.90 % (30939)Memory used [KB]: 6012
% 3.78/0.90 % (30939)Time elapsed: 0.047 s
% 3.78/0.90 % (30939)Instructions burned: 110 (million)
% 3.78/0.90 % (30939)------------------------------
% 3.78/0.90 % (30939)------------------------------
% 3.98/0.91 % (30946)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2994ds/134Mi)
% 3.98/0.91 % (30937)Instruction limit reached!
% 3.98/0.91 % (30937)------------------------------
% 3.98/0.91 % (30937)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.98/0.91 % (30937)Termination reason: Unknown
% 3.98/0.91 % (30937)Termination phase: Saturation
% 3.98/0.91
% 3.98/0.91 % (30937)Memory used [KB]: 6012
% 3.98/0.91 % (30937)Time elapsed: 0.062 s
% 3.98/0.91 % (30937)Instructions burned: 150 (million)
% 3.98/0.91 % (30937)------------------------------
% 3.98/0.91 % (30937)------------------------------
% 3.98/0.91 % (30927)Instruction limit reached!
% 3.98/0.91 % (30927)------------------------------
% 3.98/0.91 % (30927)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.98/0.91 % (30927)Termination reason: Unknown
% 3.98/0.91 % (30927)Termination phase: Saturation
% 3.98/0.91
% 3.98/0.91 % (30927)Memory used [KB]: 2558
% 3.98/0.91 % (30927)Time elapsed: 0.226 s
% 3.98/0.91 % (30927)Instructions burned: 432 (million)
% 3.98/0.91 % (30927)------------------------------
% 3.98/0.91 % (30927)------------------------------
% 3.98/0.91 % (30947)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2994ds/298Mi)
% 3.98/0.92 % (30944)Refutation not found, incomplete strategy
% 3.98/0.92 % (30944)------------------------------
% 3.98/0.92 % (30944)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.98/0.92 % (30944)Termination reason: Refutation not found, incomplete strategy
% 3.98/0.92
% 3.98/0.92
% 3.98/0.92 % (30944)Memory used [KB]: 6012
% 3.98/0.92 % (30944)Time elapsed: 0.026 s
% 3.98/0.92 % (30944)Instructions burned: 57 (million)
% 3.98/0.92 % (30944)------------------------------
% 3.98/0.92 % (30944)------------------------------
% 3.98/0.92 % (30948)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2994ds/192Mi)
% 3.98/0.92 % (30949)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2994ds/258Mi)
% 3.98/0.93 % (30950)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 4.30/0.96 % (30946)Instruction limit reached!
% 4.30/0.96 % (30946)------------------------------
% 4.30/0.96 % (30946)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.30/0.96 % (30946)Termination reason: Unknown
% 4.30/0.96 % (30946)Termination phase: Saturation
% 4.30/0.96
% 4.30/0.96 % (30946)Memory used [KB]: 6012
% 4.30/0.96 % (30946)Time elapsed: 0.058 s
% 4.30/0.96 % (30946)Instructions burned: 135 (million)
% 4.30/0.96 % (30946)------------------------------
% 4.30/0.96 % (30946)------------------------------
% 4.30/0.97 % (30950)Instruction limit reached!
% 4.30/0.97 % (30950)------------------------------
% 4.30/0.97 % (30950)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.30/0.97 % (30950)Termination reason: Unknown
% 4.30/0.97 % (30950)Termination phase: Saturation
% 4.30/0.97
% 4.30/0.97 % (30950)Memory used [KB]: 6268
% 4.30/0.97 % (30950)Time elapsed: 0.040 s
% 4.30/0.97 % (30950)Instructions burned: 90 (million)
% 4.30/0.97 % (30950)------------------------------
% 4.30/0.97 % (30950)------------------------------
% 4.30/0.98 % (30951)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2994ds/231Mi)
% 4.30/0.98 % (30952)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2994ds/458Mi)
% 4.30/0.99 % (30931)Instruction limit reached!
% 4.30/0.99 % (30931)------------------------------
% 4.30/0.99 % (30931)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.30/0.99 % (30931)Termination reason: Unknown
% 4.30/0.99 % (30931)Termination phase: Saturation
% 4.30/0.99
% 4.30/0.99 % (30931)Memory used [KB]: 6780
% 4.30/0.99 % (30931)Time elapsed: 0.247 s
% 4.30/0.99 % (30931)Instructions burned: 454 (million)
% 4.30/0.99 % (30931)------------------------------
% 4.30/0.99 % (30931)------------------------------
% 4.30/0.99 % (30948)Instruction limit reached!
% 4.30/0.99 % (30948)------------------------------
% 4.30/0.99 % (30948)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.30/0.99 % (30948)Termination reason: Unknown
% 4.30/0.99 % (30948)Termination phase: Saturation
% 4.30/0.99
% 4.30/0.99 % (30948)Memory used [KB]: 6396
% 4.30/0.99 % (30948)Time elapsed: 0.074 s
% 4.30/0.99 % (30948)Instructions burned: 192 (million)
% 4.30/0.99 % (30948)------------------------------
% 4.30/0.99 % (30948)------------------------------
% 4.30/1.01 % (30954)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2993ds/297Mi)
% 4.30/1.01 % (30953)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 (2993ds/31Mi)
% 4.30/1.02 % (30953)Instruction limit reached!
% 4.30/1.02 % (30953)------------------------------
% 4.30/1.02 % (30953)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.30/1.02 % (30953)Termination reason: Unknown
% 4.30/1.02 % (30953)Termination phase: Saturation
% 4.30/1.02
% 4.30/1.02 % (30953)Memory used [KB]: 5756
% 4.30/1.02 % (30953)Time elapsed: 0.015 s
% 4.30/1.02 % (30953)Instructions burned: 32 (million)
% 4.30/1.02 % (30953)------------------------------
% 4.30/1.02 % (30953)------------------------------
% 4.30/1.02 % (30945)Instruction limit reached!
% 4.30/1.02 % (30945)------------------------------
% 4.30/1.02 % (30945)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.30/1.02 % (30945)Termination reason: Unknown
% 4.30/1.02 % (30945)Termination phase: Saturation
% 4.30/1.02
% 4.30/1.02 % (30945)Memory used [KB]: 6268
% 4.30/1.02 % (30945)Time elapsed: 0.127 s
% 4.30/1.02 % (30945)Instructions burned: 284 (million)
% 4.30/1.02 % (30945)------------------------------
% 4.30/1.02 % (30945)------------------------------
% 4.91/1.03 % (30955)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2993ds/987Mi)
% 4.91/1.03 % (30956)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi)
% 4.91/1.04 % (30949)Instruction limit reached!
% 4.91/1.04 % (30949)------------------------------
% 4.91/1.04 % (30949)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.91/1.04 % (30949)Termination reason: Unknown
% 4.91/1.04 % (30949)Termination phase: Saturation
% 4.91/1.04
% 4.91/1.04 % (30949)Memory used [KB]: 6524
% 4.91/1.04 % (30949)Time elapsed: 0.112 s
% 4.91/1.04 % (30949)Instructions burned: 258 (million)
% 4.91/1.04 % (30949)------------------------------
% 4.91/1.04 % (30949)------------------------------
% 4.91/1.05 % (30947)Instruction limit reached!
% 4.91/1.05 % (30947)------------------------------
% 4.91/1.05 % (30947)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.91/1.05 % (30947)Termination reason: Unknown
% 4.91/1.05 % (30947)Termination phase: Saturation
% 4.91/1.05
% 4.91/1.05 % (30947)Memory used [KB]: 6524
% 4.91/1.05 % (30947)Time elapsed: 0.136 s
% 4.91/1.05 % (30947)Instructions burned: 299 (million)
% 4.91/1.05 % (30947)------------------------------
% 4.91/1.05 % (30947)------------------------------
% 4.91/1.05 % (30957)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi)
% 4.91/1.06 % (30958)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2993ds/154Mi)
% 5.18/1.10 % (30951)Instruction limit reached!
% 5.18/1.10 % (30951)------------------------------
% 5.18/1.10 % (30951)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.18/1.10 % (30951)Termination reason: Unknown
% 5.18/1.10 % (30951)Termination phase: Saturation
% 5.18/1.10
% 5.18/1.10 % (30951)Memory used [KB]: 7036
% 5.18/1.10 % (30951)Time elapsed: 0.129 s
% 5.18/1.10 % (30951)Instructions burned: 232 (million)
% 5.18/1.10 % (30951)------------------------------
% 5.18/1.10 % (30951)------------------------------
% 5.18/1.11 % (30956)Instruction limit reached!
% 5.18/1.11 % (30956)------------------------------
% 5.18/1.11 % (30956)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.18/1.11 % (30956)Termination reason: Unknown
% 5.18/1.11 % (30956)Termination phase: Saturation
% 5.18/1.11
% 5.18/1.11 % (30956)Memory used [KB]: 6524
% 5.18/1.11 % (30956)Time elapsed: 0.080 s
% 5.18/1.11 % (30956)Instructions burned: 183 (million)
% 5.18/1.11 % (30956)------------------------------
% 5.18/1.11 % (30956)------------------------------
% 5.18/1.12 % (30959)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2992ds/79Mi)
% 5.18/1.13 % (30960)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2992ds/216Mi)
% 5.18/1.13 % (30954)Instruction limit reached!
% 5.18/1.13 % (30954)------------------------------
% 5.18/1.13 % (30954)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.18/1.13 % (30954)Termination reason: Unknown
% 5.18/1.13 % (30954)Termination phase: Saturation
% 5.18/1.13
% 5.18/1.13 % (30954)Memory used [KB]: 6268
% 5.18/1.13 % (30954)Time elapsed: 0.126 s
% 5.18/1.13 % (30954)Instructions burned: 298 (million)
% 5.18/1.13 % (30954)------------------------------
% 5.18/1.13 % (30954)------------------------------
% 5.18/1.13 % (30958)Instruction limit reached!
% 5.18/1.13 % (30958)------------------------------
% 5.18/1.13 % (30958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.18/1.13 % (30958)Termination reason: Unknown
% 5.18/1.13 % (30958)Termination phase: Saturation
% 5.18/1.13
% 5.18/1.13 % (30958)Memory used [KB]: 6268
% 5.18/1.13 % (30958)Time elapsed: 0.075 s
% 5.18/1.13 % (30958)Instructions burned: 154 (million)
% 5.18/1.13 % (30958)------------------------------
% 5.18/1.13 % (30958)------------------------------
% 5.18/1.13 % (30957)Instruction limit reached!
% 5.18/1.13 % (30957)------------------------------
% 5.18/1.13 % (30957)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.18/1.13 % (30957)Termination reason: Unknown
% 5.18/1.13 % (30957)Termination phase: Saturation
% 5.18/1.13
% 5.18/1.13 % (30957)Memory used [KB]: 6012
% 5.18/1.13 % (30957)Time elapsed: 0.087 s
% 5.18/1.13 % (30957)Instructions burned: 182 (million)
% 5.18/1.13 % (30957)------------------------------
% 5.18/1.13 % (30957)------------------------------
% 5.18/1.14 % (30961)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2992ds/114Mi)
% 5.18/1.15 % (30962)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2992ds/922Mi)
% 5.18/1.15 % (30963)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2992ds/182Mi)
% 5.18/1.15 % (30959)Instruction limit reached!
% 5.18/1.15 % (30959)------------------------------
% 5.18/1.15 % (30959)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.18/1.15 % (30959)Termination reason: Unknown
% 5.18/1.15 % (30959)Termination phase: Saturation
% 5.18/1.15
% 5.18/1.15 % (30959)Memory used [KB]: 5884
% 5.18/1.15 % (30959)Time elapsed: 0.034 s
% 5.18/1.15 % (30959)Instructions burned: 79 (million)
% 5.18/1.15 % (30959)------------------------------
% 5.18/1.15 % (30959)------------------------------
% 5.18/1.15 % (30942)Instruction limit reached!
% 5.18/1.15 % (30942)------------------------------
% 5.18/1.15 % (30942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.18/1.15 % (30942)Termination reason: Unknown
% 5.18/1.15 % (30942)Termination phase: Saturation
% 5.18/1.15
% 5.18/1.15 % (30942)Memory used [KB]: 7803
% 5.18/1.15 % (30942)Time elapsed: 0.273 s
% 5.18/1.15 % (30942)Instructions burned: 616 (million)
% 5.18/1.15 % (30942)------------------------------
% 5.18/1.15 % (30942)------------------------------
% 5.18/1.16 % (30962)Refutation not found, incomplete strategy
% 5.18/1.16 % (30962)------------------------------
% 5.18/1.16 % (30962)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.18/1.16 % (30962)Termination reason: Refutation not found, incomplete strategy
% 5.18/1.16
% 5.18/1.16
% 5.18/1.16 % (30962)Memory used [KB]: 5756
% 5.18/1.16 % (30962)Time elapsed: 0.011 s
% 5.18/1.16 % (30962)Instructions burned: 20 (million)
% 5.18/1.16 % (30962)------------------------------
% 5.18/1.16 % (30962)------------------------------
% 5.18/1.16 % (30952)Instruction limit reached!
% 5.18/1.16 % (30952)------------------------------
% 5.18/1.16 % (30952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.18/1.16 % (30952)Termination reason: Unknown
% 5.18/1.16 % (30952)Termination phase: Saturation
% 5.18/1.16
% 5.18/1.16 % (30952)Memory used [KB]: 7036
% 5.18/1.16 % (30952)Time elapsed: 0.180 s
% 5.18/1.16 % (30952)Instructions burned: 458 (million)
% 5.18/1.16 % (30952)------------------------------
% 5.18/1.16 % (30952)------------------------------
% 5.18/1.16 % (30964)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2992ds/164Mi)
% 5.18/1.17 % (30965)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on theBenchmark for (2992ds/50Mi)
% 5.18/1.17 % (30966)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2992ds/368Mi)
% 5.18/1.17 % (30967)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2992ds/1021Mi)
% 6.55/1.18 % (30964)Refutation not found, incomplete strategy
% 6.55/1.18 % (30964)------------------------------
% 6.55/1.18 % (30964)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.55/1.18 % (30964)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.18
% 6.55/1.18
% 6.55/1.18 % (30964)Memory used [KB]: 1279
% 6.55/1.18 % (30964)Time elapsed: 0.017 s
% 6.55/1.18 % (30964)Instructions burned: 34 (million)
% 6.55/1.18 % (30964)------------------------------
% 6.55/1.18 % (30964)------------------------------
% 6.61/1.19 % (30961)Instruction limit reached!
% 6.61/1.19 % (30961)------------------------------
% 6.61/1.19 % (30961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.61/1.19 % (30961)Termination reason: Unknown
% 6.61/1.19 % (30961)Termination phase: Saturation
% 6.61/1.19
% 6.61/1.19 % (30961)Memory used [KB]: 6396
% 6.61/1.19 % (30961)Time elapsed: 0.047 s
% 6.61/1.19 % (30961)Instructions burned: 116 (million)
% 6.61/1.19 % (30965)Instruction limit reached!
% 6.61/1.19 % (30965)------------------------------
% 6.61/1.19 % (30965)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.61/1.19 % (30965)Termination reason: Unknown
% 6.61/1.19 % (30965)Termination phase: Saturation
% 6.61/1.19
% 6.61/1.19 % (30965)Memory used [KB]: 10362
% 6.61/1.19 % (30965)Time elapsed: 0.023 s
% 6.61/1.19 % (30965)Instructions burned: 51 (million)
% 6.61/1.19 % (30965)------------------------------
% 6.61/1.19 % (30965)------------------------------
% 6.61/1.19 % (30961)------------------------------
% 6.61/1.19 % (30961)------------------------------
% 6.61/1.19 % (30968)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on theBenchmark for (2991ds/267Mi)
% 6.61/1.20 % (30969)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2991ds/204Mi)
% 6.61/1.20 % (30970)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2991ds/26Mi)
% 6.61/1.22 % (30970)Instruction limit reached!
% 6.61/1.22 % (30970)------------------------------
% 6.61/1.22 % (30970)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.61/1.22 % (30970)Termination reason: Unknown
% 6.61/1.22 % (30970)Termination phase: Saturation
% 6.61/1.22
% 6.61/1.22 % (30970)Memory used [KB]: 5756
% 6.61/1.22 % (30970)Time elapsed: 0.036 s
% 6.61/1.22 % (30970)Instructions burned: 26 (million)
% 6.61/1.22 % (30970)------------------------------
% 6.61/1.22 % (30970)------------------------------
% 6.61/1.22 % (30960)Instruction limit reached!
% 6.61/1.22 % (30960)------------------------------
% 6.61/1.22 % (30960)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.61/1.22 % (30960)Termination reason: Unknown
% 6.61/1.22 % (30960)Termination phase: Saturation
% 6.61/1.22
% 6.61/1.22 % (30960)Memory used [KB]: 5884
% 6.61/1.22 % (30960)Time elapsed: 0.093 s
% 6.61/1.22 % (30960)Instructions burned: 216 (million)
% 6.61/1.22 % (30960)------------------------------
% 6.61/1.22 % (30960)------------------------------
% 6.80/1.23 % (30971)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on theBenchmark for (2991ds/53Mi)
% 6.80/1.23 % (30972)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on theBenchmark for (2991ds/4436Mi)
% 6.82/1.25 % (30963)Instruction limit reached!
% 6.82/1.25 % (30963)------------------------------
% 6.82/1.25 % (30963)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.82/1.25 % (30963)Termination reason: Unknown
% 6.82/1.25 % (30963)Termination phase: Saturation
% 6.82/1.25
% 6.82/1.25 % (30963)Memory used [KB]: 6268
% 6.82/1.25 % (30963)Time elapsed: 0.118 s
% 6.82/1.25 % (30963)Instructions burned: 183 (million)
% 6.82/1.25 % (30963)------------------------------
% 6.82/1.25 % (30963)------------------------------
% 6.82/1.25 % (30971)Instruction limit reached!
% 6.82/1.25 % (30971)------------------------------
% 6.82/1.25 % (30971)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.82/1.25 % (30971)Termination reason: Unknown
% 6.82/1.25 % (30971)Termination phase: Saturation
% 6.82/1.25
% 6.82/1.25 % (30971)Memory used [KB]: 5884
% 6.82/1.25 % (30971)Time elapsed: 0.024 s
% 6.82/1.25 % (30971)Instructions burned: 54 (million)
% 6.82/1.25 % (30971)------------------------------
% 6.82/1.25 % (30971)------------------------------
% 6.82/1.25 % (30972)Refutation not found, incomplete strategy
% 6.82/1.25 % (30972)------------------------------
% 6.82/1.25 % (30972)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.82/1.25 % (30972)Termination reason: Refutation not found, incomplete strategy
% 6.82/1.25
% 6.82/1.25
% 6.82/1.25 % (30972)Memory used [KB]: 5884
% 6.82/1.25 % (30972)Time elapsed: 0.045 s
% 6.82/1.25 % (30972)Instructions burned: 46 (million)
% 6.82/1.25 % (30972)------------------------------
% 6.82/1.25 % (30972)------------------------------
% 6.82/1.26 % (30973)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2991ds/1539Mi)
% 6.82/1.26 % (30974)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on theBenchmark for (2991ds/408Mi)
% 6.82/1.27 % (30975)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on theBenchmark for (2991ds/5205Mi)
% 6.82/1.28 % (30969)Instruction limit reached!
% 6.82/1.28 % (30969)------------------------------
% 6.82/1.28 % (30969)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.82/1.28 % (30969)Termination reason: Unknown
% 6.82/1.28 % (30969)Termination phase: Saturation
% 6.82/1.28
% 6.82/1.28 % (30969)Memory used [KB]: 6524
% 6.82/1.28 % (30969)Time elapsed: 0.081 s
% 6.82/1.28 % (30969)Instructions burned: 205 (million)
% 6.82/1.28 % (30969)------------------------------
% 6.82/1.28 % (30969)------------------------------
% 6.82/1.29 % (30976)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2990ds/1913Mi)
% 7.06/1.31 % (30968)Instruction limit reached!
% 7.06/1.31 % (30968)------------------------------
% 7.06/1.31 % (30968)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.06/1.31 % (30968)Termination reason: Unknown
% 7.06/1.31 % (30968)Termination phase: Saturation
% 7.06/1.31
% 7.06/1.31 % (30968)Memory used [KB]: 6268
% 7.06/1.31 % (30968)Time elapsed: 0.119 s
% 7.06/1.31 % (30968)Instructions burned: 267 (million)
% 7.06/1.31 % (30968)------------------------------
% 7.06/1.31 % (30968)------------------------------
% 7.06/1.32 % (30977)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2990ds/4350Mi)
% 7.06/1.33 % (30966)Instruction limit reached!
% 7.06/1.33 % (30966)------------------------------
% 7.06/1.33 % (30966)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.06/1.33 % (30966)Termination reason: Unknown
% 7.06/1.33 % (30966)Termination phase: Saturation
% 7.06/1.33
% 7.06/1.33 % (30966)Memory used [KB]: 7036
% 7.06/1.33 % (30966)Time elapsed: 0.160 s
% 7.06/1.33 % (30966)Instructions burned: 368 (million)
% 7.06/1.33 % (30966)------------------------------
% 7.06/1.33 % (30966)------------------------------
% 7.06/1.34 % (30977)Refutation not found, incomplete strategy
% 7.06/1.34 % (30977)------------------------------
% 7.06/1.34 % (30977)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.06/1.34 % (30977)Termination reason: Refutation not found, incomplete strategy
% 7.06/1.34
% 7.06/1.34
% 7.06/1.34 % (30977)Memory used [KB]: 5756
% 7.06/1.34 % (30977)Time elapsed: 0.017 s
% 7.06/1.34 % (30977)Instructions burned: 33 (million)
% 7.06/1.34 % (30977)------------------------------
% 7.06/1.34 % (30977)------------------------------
% 7.06/1.34 % (30978)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on theBenchmark for (2990ds/68Mi)
% 7.06/1.35 % (30979)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on theBenchmark for (2990ds/358Mi)
% 7.45/1.37 % (30978)Instruction limit reached!
% 7.45/1.37 % (30978)------------------------------
% 7.45/1.37 % (30978)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.45/1.37 % (30978)Termination reason: Unknown
% 7.45/1.37 % (30978)Termination phase: Saturation
% 7.45/1.37
% 7.45/1.37 % (30978)Memory used [KB]: 5884
% 7.45/1.37 % (30978)Time elapsed: 0.030 s
% 7.45/1.37 % (30978)Instructions burned: 69 (million)
% 7.45/1.37 % (30978)------------------------------
% 7.45/1.37 % (30978)------------------------------
% 7.45/1.37 % (30979)Refutation not found, incomplete strategy
% 7.45/1.37 % (30979)------------------------------
% 7.45/1.37 % (30979)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.45/1.37 % (30979)Termination reason: Refutation not found, incomplete strategy
% 7.45/1.37
% 7.45/1.37
% 7.45/1.37 % (30979)Memory used [KB]: 5884
% 7.45/1.37 % (30979)Time elapsed: 0.023 s
% 7.45/1.37 % (30979)Instructions burned: 44 (million)
% 7.45/1.37 % (30979)------------------------------
% 7.45/1.37 % (30979)------------------------------
% 7.45/1.38 % (30980)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 (2989ds/31Mi)
% 7.45/1.39 % (30981)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2989ds/279Mi)
% 7.45/1.40 % (30980)Instruction limit reached!
% 7.45/1.40 % (30980)------------------------------
% 7.45/1.40 % (30980)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.45/1.40 % (30980)Termination reason: Unknown
% 7.45/1.40 % (30980)Termination phase: Saturation
% 7.45/1.40
% 7.45/1.40 % (30980)Memory used [KB]: 5756
% 7.45/1.40 % (30980)Time elapsed: 0.015 s
% 7.45/1.40 % (30980)Instructions burned: 31 (million)
% 7.45/1.40 % (30980)------------------------------
% 7.45/1.40 % (30980)------------------------------
% 7.45/1.41 % (30982)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2989ds/258Mi)
% 7.63/1.47 % (30974)Instruction limit reached!
% 7.63/1.47 % (30974)------------------------------
% 7.63/1.47 % (30974)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.63/1.47 % (30974)Termination reason: Unknown
% 7.63/1.47 % (30974)Termination phase: Saturation
% 7.63/1.47
% 7.63/1.47 % (30974)Memory used [KB]: 7675
% 7.63/1.47 % (30974)Time elapsed: 0.207 s
% 7.63/1.47 % (30974)Instructions burned: 409 (million)
% 7.63/1.47 % (30974)------------------------------
% 7.63/1.47 % (30974)------------------------------
% 7.63/1.48 % (30955)Instruction limit reached!
% 7.63/1.48 % (30955)------------------------------
% 7.63/1.48 % (30955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.63/1.48 % (30955)Termination reason: Unknown
% 7.63/1.48 % (30955)Termination phase: Saturation
% 7.63/1.48
% 7.63/1.48 % (30955)Memory used [KB]: 7419
% 7.63/1.48 % (30955)Time elapsed: 0.447 s
% 7.63/1.48 % (30955)Instructions burned: 989 (million)
% 7.63/1.48 % (30955)------------------------------
% 7.63/1.48 % (30955)------------------------------
% 7.89/1.49 % (30983)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2988ds/26Mi)
% 7.89/1.49 % (30984)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on theBenchmark for (2988ds/995Mi)
% 7.89/1.50 % (30983)Instruction limit reached!
% 7.89/1.50 % (30983)------------------------------
% 7.89/1.50 % (30983)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.89/1.50 % (30983)Termination reason: Unknown
% 7.89/1.50 % (30983)Termination phase: Saturation
% 7.89/1.50
% 7.89/1.50 % (30983)Memory used [KB]: 5756
% 7.89/1.50 % (30983)Time elapsed: 0.015 s
% 7.89/1.50 % (30983)Instructions burned: 26 (million)
% 7.89/1.50 % (30983)------------------------------
% 7.89/1.50 % (30983)------------------------------
% 7.89/1.52 % (30985)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on theBenchmark for (2988ds/373Mi)
% 7.89/1.52 % (30981)Instruction limit reached!
% 7.89/1.52 % (30981)------------------------------
% 7.89/1.52 % (30981)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.89/1.52 % (30981)Termination reason: Unknown
% 7.89/1.52 % (30981)Termination phase: Saturation
% 7.89/1.52
% 7.89/1.52 % (30981)Memory used [KB]: 6268
% 7.89/1.52 % (30981)Time elapsed: 0.130 s
% 7.89/1.52 % (30981)Instructions burned: 279 (million)
% 7.89/1.52 % (30981)------------------------------
% 7.89/1.52 % (30981)------------------------------
% 8.07/1.53 % (30986)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on theBenchmark for (2988ds/253Mi)
% 8.07/1.54 % (30982)Instruction limit reached!
% 8.07/1.54 % (30982)------------------------------
% 8.07/1.54 % (30982)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.07/1.54 % (30982)Termination reason: Unknown
% 8.07/1.54 % (30982)Termination phase: Saturation
% 8.07/1.54
% 8.07/1.54 % (30982)Memory used [KB]: 6524
% 8.07/1.54 % (30982)Time elapsed: 0.130 s
% 8.07/1.54 % (30982)Instructions burned: 259 (million)
% 8.07/1.54 % (30982)------------------------------
% 8.07/1.54 % (30982)------------------------------
% 8.07/1.55 % (30987)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on theBenchmark for (2988ds/832Mi)
% 8.07/1.56 % (30987)Refutation not found, incomplete strategy
% 8.07/1.56 % (30987)------------------------------
% 8.07/1.56 % (30987)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.07/1.56 % (30987)Termination reason: Refutation not found, incomplete strategy
% 8.07/1.56
% 8.07/1.56
% 8.07/1.56 % (30987)Memory used [KB]: 5628
% 8.07/1.56 % (30987)Time elapsed: 0.011 s
% 8.07/1.56 % (30987)Instructions burned: 20 (million)
% 8.07/1.56 % (30987)------------------------------
% 8.07/1.56 % (30987)------------------------------
% 8.07/1.57 % (30967)Instruction limit reached!
% 8.07/1.57 % (30967)------------------------------
% 8.07/1.57 % (30967)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.07/1.57 % (30967)Termination reason: Unknown
% 8.07/1.57 % (30967)Termination phase: Saturation
% 8.07/1.57
% 8.07/1.57 % (30967)Memory used [KB]: 10362
% 8.07/1.57 % (30967)Time elapsed: 0.403 s
% 8.07/1.57 % (30967)Instructions burned: 1022 (million)
% 8.07/1.57 % (30967)------------------------------
% 8.07/1.57 % (30967)------------------------------
% 8.07/1.58 % (30988)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on theBenchmark for (2988ds/668Mi)
% 8.07/1.59 % (30989)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=40:si=on:rtra=on_0 on theBenchmark for (2987ds/40Mi)
% 8.07/1.60 % (30989)Instruction limit reached!
% 8.07/1.60 % (30989)------------------------------
% 8.07/1.60 % (30989)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.07/1.60 % (30989)Termination reason: Unknown
% 8.07/1.60 % (30989)Termination phase: Saturation
% 8.07/1.60
% 8.07/1.60 % (30989)Memory used [KB]: 5756
% 8.07/1.60 % (30989)Time elapsed: 0.017 s
% 8.07/1.60 % (30989)Instructions burned: 42 (million)
% 8.07/1.60 % (30989)------------------------------
% 8.07/1.60 % (30989)------------------------------
% 8.68/1.62 % (30990)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on theBenchmark for (2987ds/294Mi)
% 8.68/1.65 % (30986)Instruction limit reached!
% 8.68/1.65 % (30986)------------------------------
% 8.68/1.65 % (30986)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.68/1.65 % (30986)Termination reason: Unknown
% 8.68/1.65 % (30986)Termination phase: Saturation
% 8.68/1.65
% 8.68/1.65 % (30986)Memory used [KB]: 6396
% 8.68/1.65 % (30986)Time elapsed: 0.120 s
% 8.68/1.65 % (30986)Instructions burned: 254 (million)
% 8.68/1.65 % (30986)------------------------------
% 8.68/1.65 % (30986)------------------------------
% 8.68/1.66 % (30991)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on theBenchmark for (2987ds/187Mi)
% 8.68/1.68 % (30985)Instruction limit reached!
% 8.68/1.68 % (30985)------------------------------
% 8.68/1.68 % (30985)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.68/1.68 % (30985)Termination reason: Unknown
% 8.68/1.68 % (30985)Termination phase: Saturation
% 8.68/1.68
% 8.68/1.68 % (30985)Memory used [KB]: 7036
% 8.68/1.68 % (30985)Time elapsed: 0.163 s
% 8.68/1.68 % (30985)Instructions burned: 374 (million)
% 8.68/1.68 % (30985)------------------------------
% 8.68/1.68 % (30985)------------------------------
% 10.58/1.69 % (30992)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on theBenchmark for (2986ds/371Mi)
% 10.58/1.71 % (30992)Refutation not found, incomplete strategy
% 10.58/1.71 % (30992)------------------------------
% 10.58/1.71 % (30992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.58/1.71 % (30992)Termination reason: Refutation not found, incomplete strategy
% 10.58/1.71
% 10.58/1.71
% 10.58/1.71 % (30992)Memory used [KB]: 5756
% 10.58/1.71 % (30992)Time elapsed: 0.021 s
% 10.58/1.71 % (30992)Instructions burned: 42 (million)
% 10.58/1.71 % (30992)------------------------------
% 10.58/1.71 % (30992)------------------------------
% 10.58/1.72 % (30993)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on theBenchmark for (2986ds/1827Mi)
% 10.58/1.73 % (30990)Instruction limit reached!
% 10.58/1.73 % (30990)------------------------------
% 10.58/1.73 % (30990)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.58/1.73 % (30990)Termination reason: Unknown
% 10.58/1.73 % (30990)Termination phase: Saturation
% 10.58/1.73
% 10.58/1.73 % (30990)Memory used [KB]: 6140
% 10.58/1.73 % (30990)Time elapsed: 0.121 s
% 10.58/1.73 % (30990)Instructions burned: 295 (million)
% 10.58/1.73 % (30990)------------------------------
% 10.58/1.73 % (30990)------------------------------
% 10.58/1.74 % (30991)Instruction limit reached!
% 10.58/1.74 % (30991)------------------------------
% 10.58/1.74 % (30991)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.58/1.74 % (30991)Termination reason: Unknown
% 10.58/1.74 % (30991)Termination phase: Saturation
% 10.58/1.74
% 10.58/1.74 % (30991)Memory used [KB]: 6524
% 10.58/1.74 % (30991)Time elapsed: 0.082 s
% 10.58/1.74 % (30991)Instructions burned: 187 (million)
% 10.58/1.74 % (30991)------------------------------
% 10.58/1.74 % (30991)------------------------------
% 10.58/1.75 % (30994)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on theBenchmark for (2986ds/70Mi)
% 10.58/1.76 % (30995)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on theBenchmark for (2986ds/316Mi)
% 11.20/1.77 % (30994)Instruction limit reached!
% 11.20/1.77 % (30994)------------------------------
% 11.20/1.77 % (30994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.20/1.77 % (30994)Termination reason: Unknown
% 11.20/1.77 % (30994)Termination phase: Saturation
% 11.20/1.77
% 11.20/1.77 % (30994)Memory used [KB]: 1535
% 11.20/1.77 % (30994)Time elapsed: 0.028 s
% 11.20/1.77 % (30994)Instructions burned: 70 (million)
% 11.20/1.77 % (30994)------------------------------
% 11.20/1.77 % (30994)------------------------------
% 11.20/1.79 % (30996)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on theBenchmark for (2985ds/932Mi)
% 11.52/1.88 % (30988)Instruction limit reached!
% 11.52/1.88 % (30988)------------------------------
% 11.52/1.88 % (30988)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.52/1.88 % (30988)Termination reason: Unknown
% 11.52/1.88 % (30988)Termination phase: Saturation
% 11.52/1.88
% 11.52/1.88 % (30988)Memory used [KB]: 11641
% 11.52/1.88 % (30988)Time elapsed: 0.311 s
% 11.52/1.88 % (30988)Instructions burned: 669 (million)
% 11.52/1.88 % (30988)------------------------------
% 11.52/1.88 % (30988)------------------------------
% 11.52/1.90 % (30997)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on theBenchmark for (2984ds/4714Mi)
% 11.52/1.90 % (30995)Instruction limit reached!
% 11.52/1.90 % (30995)------------------------------
% 11.52/1.90 % (30995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.52/1.90 % (30995)Termination reason: Unknown
% 11.52/1.90 % (30995)Termination phase: Saturation
% 11.52/1.90
% 11.52/1.90 % (30995)Memory used [KB]: 6268
% 11.52/1.90 % (30995)Time elapsed: 0.146 s
% 11.52/1.90 % (30995)Instructions burned: 317 (million)
% 11.52/1.90 % (30995)------------------------------
% 11.52/1.90 % (30995)------------------------------
% 11.52/1.91 % (30998)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on theBenchmark for (2984ds/8250Mi)
% 12.12/1.93 % (30997)Refutation not found, incomplete strategy
% 12.12/1.93 % (30997)------------------------------
% 12.12/1.93 % (30997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.12/1.93 % (30997)Termination reason: Refutation not found, incomplete strategy
% 12.12/1.93
% 12.12/1.93
% 12.12/1.93 % (30997)Memory used [KB]: 5884
% 12.12/1.93 % (30997)Time elapsed: 0.028 s
% 12.12/1.93 % (30997)Instructions burned: 63 (million)
% 12.12/1.93 % (30997)------------------------------
% 12.12/1.93 % (30997)------------------------------
% 12.12/1.93 % (30984)Instruction limit reached!
% 12.12/1.93 % (30984)------------------------------
% 12.12/1.93 % (30984)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.12/1.93 % (30984)Termination reason: Unknown
% 12.12/1.93 % (30984)Termination phase: Saturation
% 12.12/1.93
% 12.12/1.93 % (30984)Memory used [KB]: 6780
% 12.12/1.93 % (30984)Time elapsed: 0.434 s
% 12.12/1.93 % (30984)Instructions burned: 995 (million)
% 12.12/1.93 % (30984)------------------------------
% 12.12/1.93 % (30984)------------------------------
% 12.12/1.94 % (30999)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on theBenchmark for (2984ds/770Mi)
% 12.12/1.94 % (31000)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on theBenchmark for (2984ds/794Mi)
% 12.12/1.96 % (30973)Instruction limit reached!
% 12.12/1.96 % (30973)------------------------------
% 12.12/1.96 % (30973)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.12/1.96 % (30973)Termination reason: Unknown
% 12.12/1.96 % (30973)Termination phase: Saturation
% 12.12/1.96
% 12.12/1.96 % (30973)Memory used [KB]: 12281
% 12.12/1.96 % (30973)Time elapsed: 0.680 s
% 12.12/1.96 % (30973)Instructions burned: 1540 (million)
% 12.12/1.96 % (30973)------------------------------
% 12.12/1.96 % (30973)------------------------------
% 12.12/1.96 % (30999)Refutation not found, incomplete strategy
% 12.12/1.96 % (30999)------------------------------
% 12.12/1.96 % (30999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.12/1.96 % (30999)Termination reason: Refutation not found, incomplete strategy
% 12.12/1.96
% 12.12/1.96
% 12.12/1.96 % (30999)Memory used [KB]: 6012
% 12.12/1.96 % (30999)Time elapsed: 0.027 s
% 12.12/1.96 % (30999)Instructions burned: 49 (million)
% 12.12/1.96 % (30999)------------------------------
% 12.12/1.96 % (30999)------------------------------
% 12.12/1.97 % (31001)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on theBenchmark for (2984ds/464Mi)
% 12.12/1.98 % (31002)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on theBenchmark for (2984ds/1376Mi)
% 12.38/2.05 % (30976)Instruction limit reached!
% 12.38/2.05 % (30976)------------------------------
% 12.38/2.05 % (30976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.38/2.05 % (30976)Termination reason: Unknown
% 12.38/2.05 % (30976)Termination phase: Saturation
% 12.38/2.05
% 12.38/2.05 % (30976)Memory used [KB]: 7931
% 12.38/2.05 % (30976)Time elapsed: 0.762 s
% 12.38/2.05 % (30976)Instructions burned: 1914 (million)
% 12.38/2.05 % (30976)------------------------------
% 12.38/2.05 % (30976)------------------------------
% 12.54/2.07 % (31003)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on theBenchmark for (2983ds/906Mi)
% 12.61/2.17 % (31001)Instruction limit reached!
% 12.61/2.17 % (31001)------------------------------
% 12.61/2.17 % (31001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.61/2.17 % (31001)Termination reason: Unknown
% 12.61/2.17 % (31001)Termination phase: Saturation
% 12.61/2.17
% 12.61/2.17 % (31001)Memory used [KB]: 6652
% 12.61/2.17 % (31001)Time elapsed: 0.195 s
% 12.61/2.17 % (31001)Instructions burned: 466 (million)
% 12.61/2.17 % (31001)------------------------------
% 12.61/2.17 % (31001)------------------------------
% 12.61/2.18 % (30996)Instruction limit reached!
% 12.61/2.18 % (30996)------------------------------
% 12.61/2.18 % (30996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.61/2.18 % (30996)Termination reason: Unknown
% 12.61/2.18 % (30996)Termination phase: Saturation
% 12.61/2.18
% 12.61/2.18 % (30996)Memory used [KB]: 7547
% 12.61/2.18 % (30996)Time elapsed: 0.393 s
% 12.61/2.18 % (30996)Instructions burned: 933 (million)
% 12.61/2.18 % (30996)------------------------------
% 12.61/2.18 % (30996)------------------------------
% 12.61/2.18 % (31004)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on theBenchmark for (2982ds/434Mi)
% 12.61/2.19 % (31005)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on theBenchmark for (2981ds/865Mi)
% 12.61/2.20 % (31005)Refutation not found, incomplete strategy
% 12.61/2.20 % (31005)------------------------------
% 12.61/2.20 % (31005)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.61/2.20 % (31005)Termination reason: Refutation not found, incomplete strategy
% 12.61/2.20
% 12.61/2.20
% 12.61/2.20 % (31005)Memory used [KB]: 5628
% 12.61/2.20 % (31005)Time elapsed: 0.015 s
% 12.61/2.20 % (31005)Instructions burned: 32 (million)
% 12.61/2.20 % (31005)------------------------------
% 12.61/2.20 % (31005)------------------------------
% 12.61/2.22 % (31006)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on theBenchmark for (2981ds/593Mi)
% 13.35/2.30 % (31000)Instruction limit reached!
% 13.35/2.30 % (31000)------------------------------
% 13.35/2.30 % (31000)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.35/2.30 % (31000)Termination reason: Unknown
% 13.35/2.30 % (31000)Termination phase: Saturation
% 13.35/2.30
% 13.35/2.30 % (31000)Memory used [KB]: 3454
% 13.35/2.30 % (31000)Time elapsed: 0.361 s
% 13.35/2.30 % (31000)Instructions burned: 795 (million)
% 13.35/2.30 % (31000)------------------------------
% 13.35/2.30 % (31000)------------------------------
% 13.35/2.31 % (31007)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on theBenchmark for (2980ds/443Mi)
% 16.19/2.40 % (31004)Instruction limit reached!
% 16.19/2.40 % (31004)------------------------------
% 16.19/2.40 % (31004)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.19/2.40 % (31004)Termination reason: Unknown
% 16.19/2.40 % (31004)Termination phase: Saturation
% 16.19/2.40
% 16.19/2.40 % (31004)Memory used [KB]: 6268
% 16.19/2.40 % (31004)Time elapsed: 0.237 s
% 16.19/2.40 % (31004)Instructions burned: 435 (million)
% 16.19/2.40 % (31004)------------------------------
% 16.19/2.40 % (31004)------------------------------
% 16.24/2.42 % (31008)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on theBenchmark for (2979ds/594Mi)
% 16.24/2.43 % (31003)Instruction limit reached!
% 16.24/2.43 % (31003)------------------------------
% 16.24/2.43 % (31003)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.24/2.43 % (31003)Termination reason: Unknown
% 16.24/2.43 % (31003)Termination phase: Saturation
% 16.24/2.43
% 16.24/2.43 % (31003)Memory used [KB]: 9594
% 16.24/2.43 % (31003)Time elapsed: 0.361 s
% 16.24/2.43 % (31003)Instructions burned: 907 (million)
% 16.24/2.43 % (31003)------------------------------
% 16.24/2.43 % (31003)------------------------------
% 16.24/2.44 % (31009)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on theBenchmark for (2979ds/327Mi)
% 16.24/2.46 % (31006)Instruction limit reached!
% 16.24/2.46 % (31006)------------------------------
% 16.24/2.46 % (31006)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.24/2.46 % (31006)Termination reason: Unknown
% 16.24/2.46 % (31006)Termination phase: Saturation
% 16.24/2.46
% 16.24/2.46 % (31006)Memory used [KB]: 7036
% 16.24/2.46 % (31006)Time elapsed: 0.240 s
% 16.24/2.46 % (31006)Instructions burned: 593 (million)
% 16.24/2.46 % (31006)------------------------------
% 16.24/2.46 % (31006)------------------------------
% 16.24/2.47 % (31010)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on theBenchmark for (2979ds/5411Mi)
% 16.24/2.47 % (31010)Refutation not found, incomplete strategy
% 16.24/2.47 % (31010)------------------------------
% 16.24/2.47 % (31010)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.24/2.47 % (31010)Termination reason: Refutation not found, incomplete strategy
% 16.24/2.47
% 16.24/2.47
% 16.24/2.47 % (31010)Memory used [KB]: 5628
% 16.24/2.47 % (31010)Time elapsed: 0.008 s
% 16.24/2.47 % (31010)Instructions burned: 15 (million)
% 16.24/2.47 % (31010)------------------------------
% 16.24/2.47 % (31010)------------------------------
% 16.24/2.49 % (31011)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on theBenchmark for (2979ds/1762Mi)
% 16.24/2.50 % (31007)Instruction limit reached!
% 16.24/2.50 % (31007)------------------------------
% 16.24/2.50 % (31007)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.24/2.50 % (31007)Termination reason: Unknown
% 16.24/2.50 % (31007)Termination phase: Saturation
% 16.24/2.50
% 16.24/2.50 % (31007)Memory used [KB]: 7419
% 16.24/2.50 % (31007)Time elapsed: 0.193 s
% 16.24/2.50 % (31007)Instructions burned: 444 (million)
% 16.24/2.50 % (31007)------------------------------
% 16.24/2.50 % (31007)------------------------------
% 16.76/2.52 % (31012)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on theBenchmark for (2978ds/96Mi)
% 16.76/2.56 % (31012)Instruction limit reached!
% 16.76/2.56 % (31012)------------------------------
% 16.76/2.56 % (31012)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.76/2.56 % (31012)Termination reason: Unknown
% 16.76/2.56 % (31012)Termination phase: Saturation
% 16.76/2.56
% 16.76/2.56 % (31012)Memory used [KB]: 6140
% 16.76/2.56 % (31012)Time elapsed: 0.046 s
% 16.76/2.56 % (31012)Instructions burned: 96 (million)
% 16.76/2.56 % (31012)------------------------------
% 16.76/2.56 % (31012)------------------------------
% 16.76/2.57 % (30993)Instruction limit reached!
% 16.76/2.57 % (30993)------------------------------
% 16.76/2.57 % (30993)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.76/2.57 % (30993)Termination reason: Unknown
% 16.76/2.57 % (30993)Termination phase: Saturation
% 16.76/2.57
% 16.76/2.57 % (30993)Memory used [KB]: 8187
% 16.76/2.57 % (30993)Time elapsed: 0.849 s
% 16.76/2.57 % (30993)Instructions burned: 1827 (million)
% 16.76/2.57 % (30993)------------------------------
% 16.76/2.57 % (30993)------------------------------
% 16.76/2.58 % (31013)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on theBenchmark for (2978ds/503Mi)
% 16.76/2.58 % (31009)Instruction limit reached!
% 16.76/2.58 % (31009)------------------------------
% 16.76/2.58 % (31009)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.76/2.58 % (31009)Termination reason: Unknown
% 16.76/2.58 % (31009)Termination phase: Saturation
% 16.76/2.58
% 16.76/2.58 % (31009)Memory used [KB]: 7164
% 16.76/2.58 % (31009)Time elapsed: 0.144 s
% 16.76/2.58 % (31009)Instructions burned: 327 (million)
% 16.76/2.58 % (31009)------------------------------
% 16.76/2.58 % (31009)------------------------------
% 16.76/2.59 % (31014)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2978ds/90Mi)
% 16.76/2.59 % (31015)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on theBenchmark for (2978ds/593Mi)
% 17.51/2.60 % (31002)Instruction limit reached!
% 17.51/2.60 % (31002)------------------------------
% 17.51/2.60 % (31002)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.51/2.60 % (31002)Termination reason: Unknown
% 17.51/2.60 % (31002)Termination phase: Saturation
% 17.51/2.60
% 17.51/2.60 % (31002)Memory used [KB]: 9338
% 17.51/2.60 % (31002)Time elapsed: 0.628 s
% 17.51/2.60 % (31002)Instructions burned: 1377 (million)
% 17.51/2.60 % (31002)------------------------------
% 17.51/2.60 % (31002)------------------------------
% 17.51/2.62 % (31016)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on theBenchmark for (2977ds/1512Mi)
% 17.51/2.63 % (31014)Instruction limit reached!
% 17.51/2.63 % (31014)------------------------------
% 17.51/2.63 % (31014)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.51/2.63 % (31014)Termination reason: Unknown
% 17.51/2.63 % (31014)Termination phase: Saturation
% 17.51/2.63
% 17.51/2.63 % (31014)Memory used [KB]: 6268
% 17.51/2.63 % (31014)Time elapsed: 0.066 s
% 17.51/2.63 % (31014)Instructions burned: 90 (million)
% 17.51/2.63 % (31014)------------------------------
% 17.51/2.63 % (31014)------------------------------
% 17.51/2.63 % (31016)Refutation not found, incomplete strategy
% 17.51/2.63 % (31016)------------------------------
% 17.51/2.63 % (31016)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.51/2.63 % (31016)Termination reason: Refutation not found, incomplete strategy
% 17.51/2.63
% 17.51/2.63
% 17.51/2.63 % (31016)Memory used [KB]: 5628
% 17.51/2.63 % (31016)Time elapsed: 0.012 s
% 17.51/2.63 % (31016)Instructions burned: 22 (million)
% 17.51/2.63 % (31016)------------------------------
% 17.51/2.63 % (31016)------------------------------
% 17.51/2.64 % (31017)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on theBenchmark for (2977ds/569Mi)
% 17.51/2.64 % (31018)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on theBenchmark for (2977ds/501Mi)
% 17.51/2.67 % (31018)Refutation not found, incomplete strategy
% 17.51/2.67 % (31018)------------------------------
% 17.51/2.67 % (31018)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.51/2.67 % (31018)Termination reason: Refutation not found, incomplete strategy
% 17.51/2.67
% 17.51/2.67
% 17.51/2.67 % (31018)Memory used [KB]: 5884
% 17.51/2.67 % (31018)Time elapsed: 0.025 s
% 17.51/2.67 % (31018)Instructions burned: 57 (million)
% 17.51/2.67 % (31018)------------------------------
% 17.51/2.67 % (31018)------------------------------
% 17.51/2.68 % (31019)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on theBenchmark for (2977ds/562Mi)
% 17.84/2.69 % (31008)Instruction limit reached!
% 17.84/2.69 % (31008)------------------------------
% 17.84/2.69 % (31008)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.84/2.69 % (31008)Termination reason: Unknown
% 17.84/2.69 % (31008)Termination phase: Saturation
% 17.84/2.69
% 17.84/2.69 % (31008)Memory used [KB]: 6780
% 17.84/2.69 % (31008)Time elapsed: 0.275 s
% 17.84/2.69 % (31008)Instructions burned: 595 (million)
% 17.84/2.69 % (31008)------------------------------
% 17.84/2.69 % (31008)------------------------------
% 18.16/2.70 % (31020)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on theBenchmark for (2976ds/406Mi)
% 18.36/2.82 % (31013)Instruction limit reached!
% 18.36/2.82 % (31013)------------------------------
% 18.36/2.82 % (31013)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.36/2.82 % (31013)Termination reason: Unknown
% 18.36/2.82 % (31013)Termination phase: Saturation
% 18.36/2.82
% 18.36/2.82 % (31013)Memory used [KB]: 7931
% 18.36/2.82 % (31013)Time elapsed: 0.267 s
% 18.36/2.82 % (31013)Instructions burned: 504 (million)
% 18.36/2.82 % (31013)------------------------------
% 18.36/2.82 % (31013)------------------------------
% 18.36/2.83 % (31015)Instruction limit reached!
% 18.36/2.83 % (31015)------------------------------
% 18.36/2.83 % (31015)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.36/2.83 % (31015)Termination reason: Unknown
% 18.36/2.83 % (31015)Termination phase: Saturation
% 18.36/2.83
% 18.36/2.83 % (31015)Memory used [KB]: 8187
% 18.36/2.83 % (31015)Time elapsed: 0.235 s
% 18.36/2.83 % (31015)Instructions burned: 593 (million)
% 18.36/2.83 % (31015)------------------------------
% 18.36/2.83 % (31015)------------------------------
% 18.36/2.83 % (31021)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on theBenchmark for (2975ds/582Mi)
% 18.36/2.84 % (31022)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on theBenchmark for (2975ds/456Mi)
% 18.36/2.90 % (31017)Instruction limit reached!
% 18.36/2.90 % (31017)------------------------------
% 18.36/2.90 % (31017)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.36/2.90 % (31017)Termination reason: Unknown
% 18.36/2.90 % (31017)Termination phase: Saturation
% 18.36/2.90
% 18.36/2.90 % (31017)Memory used [KB]: 6652
% 18.36/2.90 % (31017)Time elapsed: 0.286 s
% 18.36/2.90 % (31017)Instructions burned: 570 (million)
% 18.36/2.90 % (31017)------------------------------
% 18.36/2.90 % (31017)------------------------------
% 18.36/2.92 % (31023)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on theBenchmark for (2974ds/393Mi)
% 18.36/2.92 % (31020)Instruction limit reached!
% 18.36/2.92 % (31020)------------------------------
% 18.36/2.92 % (31020)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.36/2.92 % (31020)Termination reason: Unknown
% 18.36/2.92 % (31020)Termination phase: Saturation
% 18.36/2.92
% 18.36/2.92 % (31020)Memory used [KB]: 6780
% 18.36/2.92 % (31020)Time elapsed: 0.201 s
% 18.36/2.92 % (31020)Instructions burned: 406 (million)
% 18.36/2.92 % (31020)------------------------------
% 18.36/2.92 % (31020)------------------------------
% 20.42/2.93 % (31024)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on theBenchmark for (2974ds/1335Mi)
% 20.42/2.95 % (31019)Refutation not found, non-redundant clauses discarded% (31019)------------------------------
% 20.42/2.95 % (31019)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.42/2.95 % (31019)Termination reason: Refutation not found, non-redundant clauses discarded
% 20.42/2.95
% 20.42/2.95 % (31019)Memory used [KB]: 7931
% 20.42/2.95 % (31019)Time elapsed: 0.292 s
% 20.42/2.95 % (31019)Instructions burned: 559 (million)
% 20.42/2.95 % (31019)------------------------------
% 20.42/2.95 % (31019)------------------------------
% 20.42/2.96 % (31024)Refutation not found, incomplete strategy
% 20.42/2.96 % (31024)------------------------------
% 20.42/2.96 % (31024)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.42/2.96 % (31024)Termination reason: Refutation not found, incomplete strategy
% 20.42/2.96
% 20.42/2.96
% 20.42/2.96 % (31024)Memory used [KB]: 5884
% 20.42/2.96 % (31024)Time elapsed: 0.024 s
% 20.42/2.96 % (31024)Instructions burned: 50 (million)
% 20.42/2.96 % (31024)------------------------------
% 20.42/2.96 % (31024)------------------------------
% 20.42/2.96 % (31025)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on theBenchmark for (2974ds/3373Mi)
% 20.42/2.97 % (31026)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on theBenchmark for (2974ds/474Mi)
% 20.97/3.02 % (31022)Instruction limit reached!
% 20.97/3.02 % (31022)------------------------------
% 20.97/3.02 % (31022)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.97/3.02 % (31022)Termination reason: Unknown
% 20.97/3.02 % (31022)Termination phase: Saturation
% 20.97/3.02
% 20.97/3.02 % (31022)Memory used [KB]: 7164
% 20.97/3.02 % (31022)Time elapsed: 0.180 s
% 20.97/3.02 % (31022)Instructions burned: 457 (million)
% 20.97/3.02 % (31022)------------------------------
% 20.97/3.02 % (31022)------------------------------
% 20.97/3.03 % (31027)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on theBenchmark for (2973ds/157Mi)
% 20.97/3.08 % (31021)Instruction limit reached!
% 20.97/3.08 % (31021)------------------------------
% 20.97/3.08 % (31021)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.97/3.08 % (31021)Termination reason: Unknown
% 20.97/3.08 % (31021)Termination phase: Saturation
% 20.97/3.08
% 20.97/3.08 % (31021)Memory used [KB]: 8187
% 20.97/3.08 % (31021)Time elapsed: 0.252 s
% 20.97/3.08 % (31021)Instructions burned: 583 (million)
% 20.97/3.08 % (31021)------------------------------
% 20.97/3.08 % (31021)------------------------------
% 20.97/3.09 % (31027)Instruction limit reached!
% 20.97/3.09 % (31027)------------------------------
% 20.97/3.09 % (31027)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.97/3.09 % (31027)Termination reason: Unknown
% 20.97/3.09 % (31027)Termination phase: Saturation
% 20.97/3.09
% 20.97/3.09 % (31027)Memory used [KB]: 6140
% 20.97/3.09 % (31027)Time elapsed: 0.064 s
% 20.97/3.09 % (31027)Instructions burned: 157 (million)
% 20.97/3.09 % (31027)------------------------------
% 20.97/3.09 % (31027)------------------------------
% 21.38/3.10 % (31028)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on theBenchmark for (2972ds/590Mi)
% 21.38/3.10 % (31023)Refutation not found, non-redundant clauses discarded% (31023)------------------------------
% 21.38/3.10 % (31023)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.38/3.10 % (31023)Termination reason: Refutation not found, non-redundant clauses discarded
% 21.38/3.10
% 21.38/3.10 % (31023)Memory used [KB]: 6780
% 21.38/3.10 % (31023)Time elapsed: 0.187 s
% 21.38/3.10 % (31023)Instructions burned: 386 (million)
% 21.38/3.10 % (31023)------------------------------
% 21.38/3.10 % (31023)------------------------------
% 21.38/3.11 % (31029)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on theBenchmark for (2972ds/104Mi)
% 21.38/3.12 % (31030)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on theBenchmark for (2972ds/414Mi)
% 21.38/3.14 % (31029)Instruction limit reached!
% 21.38/3.14 % (31029)------------------------------
% 21.38/3.14 % (31029)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.38/3.14 % (31029)Termination reason: Unknown
% 21.38/3.14 % (31029)Termination phase: Saturation
% 21.38/3.14
% 21.38/3.14 % (31029)Memory used [KB]: 6012
% 21.38/3.14 % (31029)Time elapsed: 0.040 s
% 21.38/3.14 % (31029)Instructions burned: 106 (million)
% 21.38/3.14 % (31029)------------------------------
% 21.38/3.14 % (31029)------------------------------
% 21.38/3.16 % (31031)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on theBenchmark for (2972ds/715Mi)
% 21.91/3.19 % (31026)Instruction limit reached!
% 21.91/3.19 % (31026)------------------------------
% 21.91/3.19 % (31026)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.91/3.19 % (31026)Termination reason: Unknown
% 21.91/3.19 % (31026)Termination phase: Saturation
% 21.91/3.19
% 21.91/3.19 % (31026)Memory used [KB]: 6908
% 21.91/3.19 % (31026)Time elapsed: 0.225 s
% 21.91/3.19 % (31026)Instructions burned: 475 (million)
% 21.91/3.19 % (31026)------------------------------
% 21.91/3.19 % (31026)------------------------------
% 21.91/3.21 % (31032)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on theBenchmark for (2971ds/961Mi)
% 21.91/3.23 % (31011)Instruction limit reached!
% 21.91/3.23 % (31011)------------------------------
% 21.91/3.23 % (31011)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.91/3.23 % (31011)Termination reason: Unknown
% 21.91/3.23 % (31011)Termination phase: Saturation
% 21.91/3.23
% 21.91/3.23 % (31011)Memory used [KB]: 7419
% 21.91/3.23 % (31011)Time elapsed: 0.741 s
% 21.91/3.23 % (31011)Instructions burned: 1763 (million)
% 21.91/3.23 % (31011)------------------------------
% 21.91/3.23 % (31011)------------------------------
% 21.91/3.24 % (31033)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on theBenchmark for (2971ds/1213Mi)
% 22.41/3.31 % (31030)Instruction limit reached!
% 22.41/3.31 % (31030)------------------------------
% 22.41/3.31 % (31030)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.41/3.31 % (31030)Termination reason: Unknown
% 22.41/3.31 % (31030)Termination phase: Saturation
% 22.41/3.31
% 22.41/3.31 % (31030)Memory used [KB]: 6396
% 22.41/3.31 % (31030)Time elapsed: 0.194 s
% 22.41/3.31 % (31030)Instructions burned: 415 (million)
% 22.41/3.31 % (31030)------------------------------
% 22.41/3.31 % (31030)------------------------------
% 22.66/3.32 % (31034)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on theBenchmark for (2970ds/1979Mi)
% 22.66/3.37 % (31028)Instruction limit reached!
% 22.66/3.37 % (31028)------------------------------
% 22.66/3.37 % (31028)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.66/3.37 % (31028)Termination reason: Unknown
% 22.66/3.37 % (31028)Termination phase: Saturation
% 22.66/3.37
% 22.66/3.37 % (31028)Memory used [KB]: 6396
% 22.66/3.37 % (31028)Time elapsed: 0.271 s
% 22.66/3.37 % (31028)Instructions burned: 591 (million)
% 22.66/3.37 % (31028)------------------------------
% 22.66/3.37 % (31028)------------------------------
% 22.66/3.38 % (31035)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on theBenchmark for (2970ds/481Mi)
% 23.11/3.44 % (31031)Instruction limit reached!
% 23.11/3.44 % (31031)------------------------------
% 23.11/3.44 % (31031)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.11/3.44 % (31031)Termination reason: Unknown
% 23.11/3.44 % (31031)Termination phase: Saturation
% 23.11/3.44
% 23.11/3.44 % (31031)Memory used [KB]: 3198
% 23.11/3.44 % (31031)Time elapsed: 0.283 s
% 23.11/3.44 % (31031)Instructions burned: 717 (million)
% 23.11/3.44 % (31031)------------------------------
% 23.11/3.44 % (31031)------------------------------
% 23.11/3.45 % (31036)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on theBenchmark for (2969ds/783Mi)
% 23.56/3.50 % (31036)Refutation not found, incomplete strategy
% 23.56/3.50 % (31036)------------------------------
% 23.56/3.50 % (31036)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.56/3.50 % (31036)Termination reason: Refutation not found, incomplete strategy
% 23.56/3.50
% 23.56/3.50
% 23.56/3.50 % (31036)Memory used [KB]: 6140
% 23.56/3.50 % (31036)Time elapsed: 0.053 s
% 23.56/3.50 % (31036)Instructions burned: 111 (million)
% 23.56/3.50 % (31036)------------------------------
% 23.56/3.50 % (31036)------------------------------
% 23.56/3.52 % (31037)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on theBenchmark for (2968ds/432Mi)
% 25.85/3.61 % (31035)Instruction limit reached!
% 25.85/3.61 % (31035)------------------------------
% 25.85/3.61 % (31035)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.85/3.61 % (31035)Termination reason: Unknown
% 25.85/3.61 % (31035)Termination phase: Saturation
% 25.85/3.61
% 25.85/3.61 % (31035)Memory used [KB]: 6652
% 25.85/3.61 % (31035)Time elapsed: 0.228 s
% 25.85/3.61 % (31035)Instructions burned: 481 (million)
% 25.85/3.61 % (31035)------------------------------
% 25.85/3.61 % (31035)------------------------------
% 25.96/3.62 % (31038)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on theBenchmark for (2967ds/1670Mi)
% 26.09/3.64 % (31032)Instruction limit reached!
% 26.09/3.64 % (31032)------------------------------
% 26.09/3.64 % (31032)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.09/3.64 % (31032)Termination reason: Unknown
% 26.09/3.64 % (31032)Termination phase: Saturation
% 26.09/3.64
% 26.09/3.64 % (31032)Memory used [KB]: 9978
% 26.09/3.64 % (31032)Time elapsed: 0.421 s
% 26.09/3.64 % (31032)Instructions burned: 962 (million)
% 26.09/3.64 % (31032)------------------------------
% 26.09/3.64 % (31032)------------------------------
% 26.09/3.65 % (30975)Instruction limit reached!
% 26.09/3.65 % (30975)------------------------------
% 26.09/3.65 % (30975)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.09/3.65 % (30975)Termination reason: Unknown
% 26.09/3.65 % (30975)Termination phase: Saturation
% 26.09/3.65
% 26.09/3.65 % (30975)Memory used [KB]: 16375
% 26.09/3.65 % (30975)Time elapsed: 2.388 s
% 26.09/3.65 % (30975)Instructions burned: 5205 (million)
% 26.09/3.65 % (30975)------------------------------
% 26.09/3.65 % (30975)------------------------------
% 26.09/3.66 % (31039)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on theBenchmark for (2967ds/90Mi)
% 26.09/3.67 % (31040)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on theBenchmark for (2967ds/346Mi)
% 26.09/3.69 % (31039)Instruction limit reached!
% 26.09/3.69 % (31039)------------------------------
% 26.09/3.69 % (31039)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.09/3.69 % (31039)Termination reason: Unknown
% 26.09/3.69 % (31039)Termination phase: Saturation
% 26.09/3.69
% 26.09/3.69 % (31039)Memory used [KB]: 5884
% 26.09/3.69 % (31039)Time elapsed: 0.037 s
% 26.09/3.69 % (31039)Instructions burned: 91 (million)
% 26.09/3.69 % (31039)------------------------------
% 26.09/3.69 % (31039)------------------------------
% 26.09/3.70 % (31041)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on theBenchmark for (2966ds/401Mi)
% 26.09/3.71 % (31037)Instruction limit reached!
% 26.09/3.71 % (31037)------------------------------
% 26.09/3.71 % (31037)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.09/3.71 % (31037)Termination reason: Unknown
% 26.09/3.71 % (31037)Termination phase: Saturation
% 26.09/3.71
% 26.09/3.71 % (31037)Memory used [KB]: 6780
% 26.09/3.71 % (31037)Time elapsed: 0.199 s
% 26.09/3.71 % (31037)Instructions burned: 432 (million)
% 26.09/3.71 % (31037)------------------------------
% 26.09/3.71 % (31037)------------------------------
% 26.60/3.73 % (31042)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on theBenchmark for (2966ds/6454Mi)
% 26.60/3.77 % (31033)Instruction limit reached!
% 26.60/3.77 % (31033)------------------------------
% 26.60/3.77 % (31033)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.60/3.77 % (31033)Termination reason: Unknown
% 26.60/3.77 % (31033)Termination phase: Saturation
% 26.60/3.77
% 26.60/3.77 % (31033)Memory used [KB]: 7419
% 26.60/3.77 % (31033)Time elapsed: 0.536 s
% 26.60/3.77 % (31033)Instructions burned: 1215 (million)
% 26.60/3.77 % (31033)------------------------------
% 26.60/3.77 % (31033)------------------------------
% 26.88/3.79 % (31043)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on theBenchmark for (2966ds/283Mi)
% 26.88/3.83 % (31040)Instruction limit reached!
% 26.88/3.83 % (31040)------------------------------
% 26.88/3.83 % (31040)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.88/3.83 % (31040)Termination reason: Unknown
% 26.88/3.83 % (31040)Termination phase: Saturation
% 26.88/3.83
% 26.88/3.83 % (31040)Memory used [KB]: 6652
% 26.88/3.83 % (31040)Time elapsed: 0.162 s
% 26.88/3.83 % (31040)Instructions burned: 347 (million)
% 26.88/3.83 % (31040)------------------------------
% 26.88/3.83 % (31040)------------------------------
% 26.88/3.84 % (31044)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on theBenchmark for (2965ds/865Mi)
% 27.35/3.88 % (31041)Instruction limit reached!
% 27.35/3.88 % (31041)------------------------------
% 27.35/3.88 % (31041)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.35/3.88 % (31041)Termination reason: Unknown
% 27.35/3.88 % (31041)Termination phase: Saturation
% 27.35/3.88
% 27.35/3.88 % (31041)Memory used [KB]: 6652
% 27.35/3.88 % (31041)Time elapsed: 0.178 s
% 27.35/3.88 % (31041)Instructions burned: 403 (million)
% 27.35/3.88 % (31041)------------------------------
% 27.35/3.88 % (31041)------------------------------
% 27.35/3.89 % (31045)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on theBenchmark for (2964ds/4528Mi)
% 27.35/3.90 % (31043)Instruction limit reached!
% 27.35/3.90 % (31043)------------------------------
% 27.35/3.90 % (31043)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.35/3.90 % (31043)Termination reason: Unknown
% 27.35/3.90 % (31043)Termination phase: Saturation
% 27.35/3.90
% 27.35/3.90 % (31043)Memory used [KB]: 6524
% 27.35/3.90 % (31043)Time elapsed: 0.112 s
% 27.35/3.90 % (31043)Instructions burned: 283 (million)
% 27.35/3.90 % (31043)------------------------------
% 27.35/3.90 % (31043)------------------------------
% 27.35/3.91 % (31045)Refutation not found, incomplete strategy
% 27.35/3.91 % (31045)------------------------------
% 27.35/3.91 % (31045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.35/3.91 % (31045)Termination reason: Refutation not found, incomplete strategy
% 27.35/3.91
% 27.35/3.91
% 27.35/3.91 % (31045)Memory used [KB]: 1151
% 27.35/3.91 % (31045)Time elapsed: 0.012 s
% 27.35/3.91 % (31045)Instructions burned: 22 (million)
% 27.35/3.91 % (31045)------------------------------
% 27.35/3.91 % (31045)------------------------------
% 27.35/3.91 % (31046)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on theBenchmark for (2964ds/1001Mi)
% 27.78/3.92 % (31047)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on theBenchmark for (2964ds/102Mi)
% 27.84/3.96 % (31047)Instruction limit reached!
% 27.84/3.96 % (31047)------------------------------
% 27.84/3.96 % (31047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.84/3.96 % (31047)Termination reason: Unknown
% 27.84/3.96 % (31047)Termination phase: Saturation
% 27.84/3.96
% 27.84/3.96 % (31047)Memory used [KB]: 5884
% 27.84/3.96 % (31047)Time elapsed: 0.044 s
% 27.84/3.96 % (31047)Instructions burned: 102 (million)
% 27.84/3.96 % (31047)------------------------------
% 27.84/3.96 % (31047)------------------------------
% 27.84/3.97 % (31048)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on theBenchmark for (2964ds/952Mi)
% 28.33/4.18 % (31034)Instruction limit reached!
% 28.33/4.18 % (31034)------------------------------
% 28.33/4.18 % (31034)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.33/4.18 % (31034)Termination reason: Unknown
% 28.33/4.18 % (31034)Termination phase: Saturation
% 28.33/4.18
% 28.33/4.18 % (31034)Memory used [KB]: 13688
% 28.33/4.18 % (31034)Time elapsed: 0.855 s
% 28.33/4.18 % (31034)Instructions burned: 1979 (million)
% 28.33/4.18 % (31034)------------------------------
% 28.33/4.18 % (31034)------------------------------
% 30.48/4.19 % (31049)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on theBenchmark for (2962ds/578Mi)
% 30.61/4.23 % (31044)Instruction limit reached!
% 30.61/4.23 % (31044)------------------------------
% 30.61/4.23 % (31044)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.61/4.23 % (31044)Termination reason: Unknown
% 30.61/4.23 % (31044)Termination phase: Saturation
% 30.61/4.23
% 30.61/4.23 % (31044)Memory used [KB]: 6908
% 30.61/4.23 % (31044)Time elapsed: 0.387 s
% 30.61/4.23 % (31044)Instructions burned: 865 (million)
% 30.61/4.23 % (31044)------------------------------
% 30.61/4.23 % (31044)------------------------------
% 30.86/4.24 % (31050)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on theBenchmark for (2961ds/643Mi)
% 30.86/4.31 % (31046)Instruction limit reached!
% 30.86/4.31 % (31046)------------------------------
% 30.86/4.31 % (31046)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.86/4.31 % (31046)Termination reason: Unknown
% 30.86/4.31 % (31046)Termination phase: Saturation
% 30.86/4.31
% 30.86/4.31 % (31046)Memory used [KB]: 8315
% 30.86/4.31 % (31046)Time elapsed: 0.398 s
% 30.86/4.31 % (31046)Instructions burned: 1003 (million)
% 30.86/4.31 % (31046)------------------------------
% 30.86/4.31 % (31046)------------------------------
% 30.86/4.32 % (31051)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on theBenchmark for (2960ds/865Mi)
% 31.42/4.36 % (31038)Instruction limit reached!
% 31.42/4.36 % (31038)------------------------------
% 31.42/4.36 % (31038)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 31.42/4.36 % (31038)Termination reason: Unknown
% 31.42/4.36 % (31038)Termination phase: Saturation
% 31.42/4.36
% 31.42/4.36 % (31038)Memory used [KB]: 7803
% 31.42/4.36 % (31038)Time elapsed: 0.744 s
% 31.42/4.36 % (31038)Instructions burned: 1670 (million)
% 31.42/4.36 % (31038)------------------------------
% 31.42/4.36 % (31038)------------------------------
% 31.42/4.38 % (31052)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on theBenchmark for (2960ds/1174Mi)
% 31.71/4.41 % (31048)Instruction limit reached!
% 31.71/4.41 % (31048)------------------------------
% 31.71/4.41 % (31048)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 31.71/4.41 % (31048)Termination reason: Unknown
% 31.71/4.41 % (31048)Termination phase: Saturation
% 31.71/4.41
% 31.71/4.41 % (31048)Memory used [KB]: 9594
% 31.71/4.41 % (31048)Time elapsed: 0.425 s
% 31.71/4.41 % (31048)Instructions burned: 953 (million)
% 31.71/4.41 % (31048)------------------------------
% 31.71/4.41 % (31048)------------------------------
% 31.71/4.43 % (31053)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on theBenchmark for (2959ds/644Mi)
% 31.71/4.44 % (31025)Instruction limit reached!
% 31.71/4.44 % (31025)------------------------------
% 31.71/4.44 % (31025)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 31.71/4.44 % (31025)Termination reason: Unknown
% 31.71/4.44 % (31025)Termination phase: Saturation
% 31.71/4.44
% 31.71/4.44 % (31025)Memory used [KB]: 20340
% 31.71/4.44 % (31025)Time elapsed: 1.481 s
% 31.71/4.44 % (31025)Instructions burned: 3374 (million)
% 31.71/4.44 % (31025)------------------------------
% 31.71/4.44 % (31025)------------------------------
% 31.71/4.45 % (31053)Refutation not found, incomplete strategy
% 31.71/4.45 % (31053)------------------------------
% 31.71/4.45 % (31053)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 31.71/4.45 % (31053)Termination reason: Refutation not found, incomplete strategy
% 31.71/4.45
% 31.71/4.45
% 31.71/4.45 % (31053)Memory used [KB]: 6012
% 31.71/4.45 % (31053)Time elapsed: 0.023 s
% 31.71/4.45 % (31053)Instructions burned: 50 (million)
% 31.71/4.45 % (31053)------------------------------
% 31.71/4.45 % (31053)------------------------------
% 31.71/4.45 % (31054)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on theBenchmark for (2959ds/1201Mi)
% 31.94/4.46 % (31055)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on theBenchmark for (2959ds/1046Mi)
% 31.94/4.49 % (31049)Instruction limit reached!
% 31.94/4.49 % (31049)------------------------------
% 31.94/4.49 % (31049)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 31.94/4.49 % (31049)Termination reason: Unknown
% 31.94/4.49 % (31049)Termination phase: Saturation
% 31.94/4.49
% 31.94/4.49 % (31049)Memory used [KB]: 7547
% 31.94/4.49 % (31049)Time elapsed: 0.329 s
% 31.94/4.49 % (31049)Instructions burned: 578 (million)
% 31.94/4.49 % (31049)------------------------------
% 31.94/4.49 % (31049)------------------------------
% 32.35/4.50 % (31056)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on theBenchmark for (2958ds/222Mi)
% 32.35/4.53 % (31050)Instruction limit reached!
% 32.35/4.53 % (31050)------------------------------
% 32.35/4.53 % (31050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 32.35/4.53 % (31050)Termination reason: Unknown
% 32.35/4.53 % (31050)Termination phase: Saturation
% 32.35/4.53
% 32.35/4.53 % (31050)Memory used [KB]: 7036
% 32.35/4.53 % (31050)Time elapsed: 0.316 s
% 32.35/4.53 % (31050)Instructions burned: 644 (million)
% 32.35/4.53 % (31050)------------------------------
% 32.35/4.53 % (31050)------------------------------
% 32.73/4.55 % (31057)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on theBenchmark for (2958ds/68Mi)
% 32.73/4.57 % (31057)Instruction limit reached!
% 32.73/4.57 % (31057)------------------------------
% 32.73/4.57 % (31057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 32.73/4.57 % (31057)Termination reason: Unknown
% 32.73/4.57 % (31057)Termination phase: Saturation
% 32.73/4.57
% 32.73/4.57 % (31057)Memory used [KB]: 5884
% 32.73/4.57 % (31057)Time elapsed: 0.029 s
% 32.73/4.57 % (31057)Instructions burned: 70 (million)
% 32.73/4.57 % (31057)------------------------------
% 32.73/4.57 % (31057)------------------------------
% 32.73/4.59 % (31058)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on theBenchmark for (2957ds/454Mi)
% 32.73/4.60 % (31056)Instruction limit reached!
% 32.73/4.60 % (31056)------------------------------
% 32.73/4.60 % (31056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 32.73/4.60 % (31056)Termination reason: Unknown
% 32.73/4.60 % (31056)Termination phase: Saturation
% 32.73/4.60
% 32.73/4.60 % (31056)Memory used [KB]: 6268
% 32.73/4.60 % (31056)Time elapsed: 0.096 s
% 32.73/4.60 % (31056)Instructions burned: 223 (million)
% 32.73/4.60 % (31056)------------------------------
% 32.73/4.60 % (31056)------------------------------
% 32.73/4.61 % (31059)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on theBenchmark for (2957ds/360Mi)
% 33.07/4.67 % (31051)Instruction limit reached!
% 33.07/4.67 % (31051)------------------------------
% 33.07/4.67 % (31051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 33.07/4.67 % (31051)Termination reason: Unknown
% 33.07/4.67 % (31051)Termination phase: Saturation
% 33.07/4.67
% 33.07/4.67 % (31051)Memory used [KB]: 8443
% 33.07/4.67 % (31051)Time elapsed: 0.349 s
% 33.07/4.67 % (31051)Instructions burned: 866 (million)
% 33.07/4.67 % (31051)------------------------------
% 33.07/4.67 % (31051)------------------------------
% 33.07/4.68 % (31060)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on theBenchmark for (2957ds/157Mi)
% 33.56/4.74 % (31060)Instruction limit reached!
% 33.56/4.74 % (31060)------------------------------
% 33.56/4.74 % (31060)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 33.56/4.74 % (31060)Termination reason: Unknown
% 33.56/4.74 % (31060)Termination phase: Saturation
% 33.56/4.74
% 33.56/4.74 % (31060)Memory used [KB]: 6140
% 33.56/4.74 % (31060)Time elapsed: 0.065 s
% 33.56/4.74 % (31060)Instructions burned: 159 (million)
% 33.56/4.74 % (31060)------------------------------
% 33.56/4.74 % (31060)------------------------------
% 33.56/4.75 % (31061)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on theBenchmark for (2956ds/5061Mi)
% 33.56/4.77 % (31059)Instruction limit reached!
% 33.56/4.77 % (31059)------------------------------
% 33.56/4.77 % (31059)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 33.56/4.77 % (31059)Termination reason: Unknown
% 33.56/4.77 % (31059)Termination phase: Saturation
% 33.56/4.77
% 33.56/4.77 % (31059)Memory used [KB]: 6524
% 33.56/4.77 % (31059)Time elapsed: 0.160 s
% 33.56/4.77 % (31059)Instructions burned: 360 (million)
% 33.56/4.77 % (31059)------------------------------
% 33.56/4.77 % (31059)------------------------------
% 33.56/4.78 % (31062)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on theBenchmark for (2956ds/2401Mi)
% 35.30/4.80 % (31058)Instruction limit reached!
% 35.30/4.80 % (31058)------------------------------
% 35.30/4.80 % (31058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 35.30/4.80 % (31058)Termination reason: Unknown
% 35.30/4.80 % (31058)Termination phase: Saturation
% 35.30/4.80
% 35.30/4.80 % (31058)Memory used [KB]: 11257
% 35.30/4.80 % (31058)Time elapsed: 0.211 s
% 35.30/4.80 % (31058)Instructions burned: 455 (million)
% 35.30/4.80 % (31058)------------------------------
% 35.30/4.80 % (31058)------------------------------
% 35.30/4.81 % (31063)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on theBenchmark for (2955ds/5798Mi)
% 35.59/4.88 % (31052)Instruction limit reached!
% 35.59/4.88 % (31052)------------------------------
% 35.59/4.88 % (31052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 35.59/4.88 % (31052)Termination reason: Unknown
% 35.59/4.88 % (31052)Termination phase: Saturation
% 35.59/4.88
% 35.59/4.88 % (31052)Memory used [KB]: 11257
% 35.59/4.88 % (31052)Time elapsed: 0.510 s
% 35.59/4.88 % (31052)Instructions burned: 1175 (million)
% 35.59/4.88 % (31052)------------------------------
% 35.59/4.88 % (31052)------------------------------
% 35.59/4.90 % (31064)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on theBenchmark for (2954ds/346Mi)
% 36.27/4.97 % (31055)Instruction limit reached!
% 36.27/4.97 % (31055)------------------------------
% 36.27/4.97 % (31055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.27/4.97 % (31055)Termination reason: Unknown
% 36.27/4.97 % (31055)Termination phase: Saturation
% 36.27/4.97
% 36.27/4.97 % (31055)Memory used [KB]: 8571
% 36.27/4.97 % (31055)Time elapsed: 0.491 s
% 36.27/4.97 % (31055)Instructions burned: 1046 (million)
% 36.27/4.97 % (31055)------------------------------
% 36.27/4.97 % (31055)------------------------------
% 36.27/4.98 % (31065)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on theBenchmark for (2954ds/1321Mi)
% 36.27/4.99 % (31065)Refutation not found, incomplete strategy
% 36.27/4.99 % (31065)------------------------------
% 36.27/4.99 % (31065)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.27/4.99 % (31065)Termination reason: Refutation not found, incomplete strategy
% 36.27/4.99
% 36.27/4.99
% 36.27/4.99 % (31065)Memory used [KB]: 1151
% 36.27/4.99 % (31065)Time elapsed: 0.011 s
% 36.27/4.99 % (31065)Instructions burned: 20 (million)
% 36.27/4.99 % (31065)------------------------------
% 36.27/4.99 % (31065)------------------------------
% 36.27/5.00 % (31066)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on theBenchmark for (2953ds/1312Mi)
% 36.27/5.01 % (31054)Instruction limit reached!
% 36.27/5.01 % (31054)------------------------------
% 36.27/5.01 % (31054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.27/5.01 % (31054)Termination reason: Unknown
% 36.27/5.01 % (31054)Termination phase: Saturation
% 36.27/5.01
% 36.27/5.01 % (31054)Memory used [KB]: 11385
% 36.27/5.01 % (31054)Time elapsed: 0.554 s
% 36.27/5.01 % (31054)Instructions burned: 1201 (million)
% 36.27/5.01 % (31054)------------------------------
% 36.27/5.01 % (31054)------------------------------
% 36.27/5.02 % (31067)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on theBenchmark for (2953ds/672Mi)
% 36.67/5.06 % (31064)Instruction limit reached!
% 36.67/5.06 % (31064)------------------------------
% 36.67/5.06 % (31064)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.67/5.06 % (31064)Termination reason: Unknown
% 36.67/5.06 % (31064)Termination phase: Saturation
% 36.67/5.06
% 36.67/5.06 % (31064)Memory used [KB]: 6652
% 36.67/5.06 % (31064)Time elapsed: 0.161 s
% 36.67/5.06 % (31064)Instructions burned: 347 (million)
% 36.67/5.06 % (31064)------------------------------
% 36.67/5.06 % (31064)------------------------------
% 36.67/5.07 % (31068)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on theBenchmark for (2953ds/1897Mi)
% 36.67/5.08 % (31068)Refutation not found, incomplete strategy
% 36.67/5.08 % (31068)------------------------------
% 36.67/5.08 % (31068)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.67/5.08 % (31068)Termination reason: Refutation not found, incomplete strategy
% 36.67/5.08
% 36.67/5.08
% 36.67/5.08 % (31068)Memory used [KB]: 5628
% 36.67/5.08 % (31068)Time elapsed: 0.009 s
% 36.67/5.08 % (31068)Instructions burned: 16 (million)
% 36.67/5.08 % (31068)------------------------------
% 36.67/5.08 % (31068)------------------------------
% 36.95/5.09 % (31069)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on theBenchmark for (2952ds/1202Mi)
% 36.95/5.12 % (31067)Refutation not found, incomplete strategy
% 36.95/5.12 % (31067)------------------------------
% 36.95/5.12 % (31067)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.95/5.12 % (31067)Termination reason: Refutation not found, incomplete strategy
% 36.95/5.12
% 36.95/5.12
% 36.95/5.12 % (31067)Memory used [KB]: 6652
% 36.95/5.12 % (31067)Time elapsed: 0.104 s
% 36.95/5.12 % (31067)Instructions burned: 199 (million)
% 36.95/5.12 % (31067)------------------------------
% 36.95/5.12 % (31067)------------------------------
% 37.22/5.14 % (31070)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on theBenchmark for (2952ds/1493Mi)
% 37.22/5.15 % (31070)Refutation not found, incomplete strategy
% 37.22/5.15 % (31070)------------------------------
% 37.22/5.15 % (31070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 37.22/5.15 % (31070)Termination reason: Refutation not found, incomplete strategy
% 37.22/5.15
% 37.22/5.15
% 37.22/5.15 % (31070)Memory used [KB]: 5756
% 37.22/5.15 % (31070)Time elapsed: 0.012 s
% 37.22/5.15 % (31070)Instructions burned: 24 (million)
% 37.22/5.15 % (31070)------------------------------
% 37.22/5.15 % (31070)------------------------------
% 37.22/5.16 % (31071)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on theBenchmark for (2952ds/7679Mi)
% 41.53/5.63 % (30998)Instruction limit reached!
% 41.53/5.63 % (30998)------------------------------
% 41.53/5.63 % (30998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.53/5.63 % (30998)Termination reason: Unknown
% 41.53/5.63 % (30998)Termination phase: Saturation
% 41.53/5.63
% 41.53/5.63 % (30998)Memory used [KB]: 11513
% 41.53/5.63 % (30998)Time elapsed: 3.720 s
% 41.53/5.63 % (30998)Instructions burned: 8251 (million)
% 41.53/5.63 % (30998)------------------------------
% 41.53/5.63 % (30998)------------------------------
% 41.53/5.63 % (31066)Instruction limit reached!
% 41.53/5.63 % (31066)------------------------------
% 41.53/5.63 % (31066)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.53/5.63 % (31066)Termination reason: Unknown
% 41.53/5.63 % (31066)Termination phase: Saturation
% 41.53/5.63
% 41.53/5.63 % (31066)Memory used [KB]: 8699
% 41.53/5.63 % (31066)Time elapsed: 0.645 s
% 41.53/5.63 % (31066)Instructions burned: 1312 (million)
% 41.53/5.63 % (31066)------------------------------
% 41.53/5.63 % (31066)------------------------------
% 41.53/5.65 % (31072)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on theBenchmark for (2947ds/340Mi)
% 41.53/5.65 % (31073)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on theBenchmark for (2947ds/3672Mi)
% 42.22/5.67 % (31073)Refutation not found, incomplete strategy
% 42.22/5.67 % (31073)------------------------------
% 42.22/5.67 % (31073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 42.22/5.67 % (31073)Termination reason: Refutation not found, incomplete strategy
% 42.22/5.67
% 42.22/5.67
% 42.22/5.67 % (31073)Memory used [KB]: 5884
% 42.22/5.67 % (31073)Time elapsed: 0.023 s
% 42.22/5.67 % (31073)Instructions burned: 46 (million)
% 42.22/5.67 % (31073)------------------------------
% 42.22/5.67 % (31073)------------------------------
% 42.22/5.68 % (31074)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on theBenchmark for (2947ds/1535Mi)
% 42.39/5.70 % (31069)Instruction limit reached!
% 42.39/5.70 % (31069)------------------------------
% 42.39/5.70 % (31069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 42.39/5.70 % (31069)Termination reason: Unknown
% 42.39/5.70 % (31069)Termination phase: Saturation
% 42.39/5.70
% 42.39/5.70 % (31069)Memory used [KB]: 3837
% 42.39/5.70 % (31069)Time elapsed: 0.608 s
% 42.39/5.70 % (31069)Instructions burned: 1202 (million)
% 42.39/5.70 % (31069)------------------------------
% 42.39/5.70 % (31069)------------------------------
% 42.39/5.71 % (31075)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on theBenchmark for (2946ds/4637Mi)
% 42.64/5.79 % (31072)Instruction limit reached!
% 42.64/5.79 % (31072)------------------------------
% 42.64/5.79 % (31072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 42.64/5.79 % (31072)Termination reason: Unknown
% 42.64/5.79 % (31072)Termination phase: Saturation
% 42.64/5.79
% 42.64/5.79 % (31072)Memory used [KB]: 6908
% 42.64/5.79 % (31072)Time elapsed: 0.149 s
% 42.64/5.79 % (31072)Instructions burned: 340 (million)
% 42.64/5.79 % (31072)------------------------------
% 42.64/5.79 % (31072)------------------------------
% 43.17/5.81 % (31076)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on theBenchmark for (2945ds/3174Mi)
% 43.17/5.82 % (31062)Instruction limit reached!
% 43.17/5.82 % (31062)------------------------------
% 43.17/5.82 % (31062)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 43.17/5.82 % (31062)Termination reason: Unknown
% 43.17/5.82 % (31062)Termination phase: Saturation
% 43.17/5.82
% 43.17/5.82 % (31062)Memory used [KB]: 8827
% 43.17/5.82 % (31062)Time elapsed: 1.035 s
% 43.17/5.82 % (31062)Instructions burned: 2402 (million)
% 43.17/5.82 % (31062)------------------------------
% 43.17/5.82 % (31062)------------------------------
% 43.17/5.83 % (31077)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on theBenchmark for (2945ds/307Mi)
% 44.09/5.98 % (31077)Instruction limit reached!
% 44.09/5.98 % (31077)------------------------------
% 44.09/5.98 % (31077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 44.09/5.98 % (31077)Termination reason: Unknown
% 44.09/5.98 % (31077)Termination phase: Saturation
% 44.09/5.98
% 44.09/5.98 % (31077)Memory used [KB]: 6268
% 44.09/5.98 % (31077)Time elapsed: 0.145 s
% 44.09/5.98 % (31077)Instructions burned: 309 (million)
% 44.09/5.98 % (31077)------------------------------
% 44.09/5.98 % (31077)------------------------------
% 44.81/5.99 % (31078)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on theBenchmark for (2943ds/3619Mi)
% 44.81/6.00 % (31078)Refutation not found, incomplete strategy
% 44.81/6.00 % (31078)------------------------------
% 44.81/6.00 % (31078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 44.81/6.00 % (31078)Termination reason: Refutation not found, incomplete strategy
% 44.81/6.00
% 44.81/6.00
% 44.81/6.00 % (31078)Memory used [KB]: 5628
% 44.81/6.00 % (31078)Time elapsed: 0.010 s
% 44.81/6.00 % (31078)Instructions burned: 19 (million)
% 44.81/6.00 % (31078)------------------------------
% 44.81/6.00 % (31078)------------------------------
% 45.03/6.01 % (31079)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on theBenchmark for (2943ds/2325Mi)
% 46.93/6.29 % (31042)Instruction limit reached!
% 46.93/6.29 % (31042)------------------------------
% 46.93/6.29 % (31042)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 46.93/6.29 % (31042)Termination reason: Unknown
% 46.93/6.29 % (31042)Termination phase: Saturation
% 46.93/6.29
% 46.93/6.29 % (31042)Memory used [KB]: 34668
% 46.93/6.29 % (31042)Time elapsed: 2.566 s
% 46.93/6.29 % (31042)Instructions burned: 6456 (million)
% 46.93/6.29 % (31042)------------------------------
% 46.93/6.29 % (31042)------------------------------
% 46.93/6.31 % (31080)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on theBenchmark for (2940ds/2341Mi)
% 47.17/6.32 % (31080)Refutation not found, incomplete strategy
% 47.17/6.32 % (31080)------------------------------
% 47.17/6.32 % (31080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 47.17/6.32 % (31080)Termination reason: Refutation not found, incomplete strategy
% 47.17/6.32
% 47.17/6.32
% 47.17/6.32 % (31080)Memory used [KB]: 5756
% 47.17/6.32 % (31080)Time elapsed: 0.020 s
% 47.17/6.32 % (31080)Instructions burned: 41 (million)
% 47.17/6.32 % (31080)------------------------------
% 47.17/6.32 % (31080)------------------------------
% 47.17/6.34 % (31081)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on theBenchmark for (2940ds/7257Mi)
% 47.17/6.36 % (31081)Refutation not found, incomplete strategy
% 47.17/6.36 % (31081)------------------------------
% 47.17/6.36 % (31081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 47.17/6.36 % (31081)Termination reason: Refutation not found, incomplete strategy
% 47.17/6.36
% 47.17/6.36
% 47.17/6.36 % (31081)Memory used [KB]: 6140
% 47.17/6.36 % (31081)Time elapsed: 0.029 s
% 47.17/6.36 % (31081)Instructions burned: 56 (million)
% 47.17/6.36 % (31081)------------------------------
% 47.17/6.36 % (31081)------------------------------
% 47.17/6.38 % (31082)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on theBenchmark for (2939ds/3710Mi)
% 47.17/6.38 % (31074)Instruction limit reached!
% 47.17/6.38 % (31074)------------------------------
% 47.17/6.38 % (31074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 47.17/6.38 % (31074)Termination reason: Unknown
% 47.17/6.38 % (31074)Termination phase: Saturation
% 47.17/6.38
% 47.17/6.38 % (31074)Memory used [KB]: 10362
% 47.17/6.38 % (31074)Time elapsed: 0.686 s
% 47.17/6.38 % (31074)Instructions burned: 1536 (million)
% 47.17/6.38 % (31074)------------------------------
% 47.17/6.38 % (31074)------------------------------
% 47.17/6.40 % (31083)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on theBenchmark for (2939ds/326Mi)
% 48.94/6.58 % (31083)Instruction limit reached!
% 48.94/6.58 % (31083)------------------------------
% 48.94/6.58 % (31083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 48.94/6.58 % (31083)Termination reason: Unknown
% 48.94/6.58 % (31083)Termination phase: Saturation
% 48.94/6.58
% 48.94/6.58 % (31083)Memory used [KB]: 6780
% 48.94/6.58 % (31083)Time elapsed: 0.169 s
% 48.94/6.58 % (31083)Instructions burned: 326 (million)
% 48.94/6.58 % (31083)------------------------------
% 48.94/6.58 % (31083)------------------------------
% 48.94/6.59 % (31084)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on theBenchmark for (2937ds/1100Mi)
% 50.97/6.81 % (31061)Instruction limit reached!
% 50.97/6.81 % (31061)------------------------------
% 50.97/6.81 % (31061)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 50.97/6.81 % (31061)Termination reason: Unknown
% 50.97/6.81 % (31061)Termination phase: Saturation
% 50.97/6.81
% 50.97/6.81 % (31061)Memory used [KB]: 12409
% 50.97/6.81 % (31061)Time elapsed: 2.053 s
% 50.97/6.81 % (31061)Instructions burned: 5062 (million)
% 50.97/6.81 % (31061)------------------------------
% 50.97/6.81 % (31061)------------------------------
% 50.97/6.82 % (31085)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on theBenchmark for (2935ds/406Mi)
% 52.29/7.00 % (31085)Instruction limit reached!
% 52.29/7.00 % (31085)------------------------------
% 52.29/7.00 % (31085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 52.29/7.00 % (31085)Termination reason: Unknown
% 52.29/7.00 % (31085)Termination phase: Saturation
% 52.29/7.00
% 52.29/7.00 % (31085)Memory used [KB]: 6652
% 52.29/7.00 % (31085)Time elapsed: 0.184 s
% 52.29/7.00 % (31085)Instructions burned: 406 (million)
% 52.29/7.00 % (31085)------------------------------
% 52.29/7.00 % (31085)------------------------------
% 52.29/7.01 % (31086)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on theBenchmark for (2933ds/1871Mi)
% 52.29/7.10 % (31079)Instruction limit reached!
% 52.29/7.10 % (31079)------------------------------
% 52.29/7.10 % (31079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 52.29/7.10 % (31079)Termination reason: Unknown
% 52.29/7.10 % (31079)Termination phase: Saturation
% 52.29/7.10
% 52.29/7.10 % (31079)Memory used [KB]: 8827
% 52.29/7.10 % (31079)Time elapsed: 1.087 s
% 52.29/7.10 % (31079)Instructions burned: 2326 (million)
% 52.29/7.10 % (31079)------------------------------
% 52.29/7.10 % (31079)------------------------------
% 53.74/7.11 % (31087)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on theBenchmark for (2932ds/1194Mi)
% 53.74/7.12 % (31084)Instruction limit reached!
% 53.74/7.12 % (31084)------------------------------
% 53.74/7.12 % (31084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 53.74/7.12 % (31084)Termination reason: Unknown
% 53.74/7.12 % (31084)Termination phase: Saturation
% 53.74/7.12
% 53.74/7.12 % (31084)Memory used [KB]: 7931
% 53.74/7.12 % (31084)Time elapsed: 0.543 s
% 53.74/7.12 % (31084)Instructions burned: 1100 (million)
% 53.74/7.12 % (31084)------------------------------
% 53.74/7.12 % (31084)------------------------------
% 53.74/7.13 % (31088)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on theBenchmark for (2932ds/474Mi)
% 54.45/7.31 % (31063)Instruction limit reached!
% 54.45/7.31 % (31063)------------------------------
% 54.45/7.31 % (31063)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 54.45/7.31 % (31063)Termination reason: Unknown
% 54.45/7.31 % (31063)Termination phase: Saturation
% 54.45/7.31
% 54.45/7.31 % (31063)Memory used [KB]: 20340
% 54.45/7.31 % (31063)Time elapsed: 2.499 s
% 54.45/7.31 % (31063)Instructions burned: 5798 (million)
% 54.45/7.31 % (31063)------------------------------
% 54.45/7.31 % (31063)------------------------------
% 55.00/7.32 % (31076)Instruction limit reached!
% 55.00/7.32 % (31076)------------------------------
% 55.00/7.32 % (31076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 55.00/7.32 % (31076)Termination reason: Unknown
% 55.00/7.32 % (31076)Termination phase: Saturation
% 55.00/7.32
% 55.00/7.32 % (31076)Memory used [KB]: 9722
% 55.00/7.32 % (31076)Time elapsed: 1.534 s
% 55.00/7.32 % (31076)Instructions burned: 3174 (million)
% 55.00/7.32 % (31076)------------------------------
% 55.00/7.32 % (31076)------------------------------
% 55.00/7.32 % (31089)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on theBenchmark for (2930ds/3115Mi)
% 55.00/7.33 % (31090)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on theBenchmark for (2930ds/831Mi)
% 55.00/7.36 % (31088)Instruction limit reached!
% 55.00/7.36 % (31088)------------------------------
% 55.00/7.36 % (31088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 55.00/7.36 % (31088)Termination reason: Unknown
% 55.00/7.36 % (31088)Termination phase: Saturation
% 55.00/7.36
% 55.00/7.36 % (31088)Memory used [KB]: 6908
% 55.00/7.36 % (31088)Time elapsed: 0.227 s
% 55.00/7.36 % (31088)Instructions burned: 475 (million)
% 55.00/7.36 % (31088)------------------------------
% 55.00/7.36 % (31088)------------------------------
% 55.00/7.37 % (31091)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on theBenchmark for (2930ds/1188Mi)
% 55.55/7.47 % (31082)First to succeed.
% 55.94/7.49 % (31082)Refutation found. Thanks to Tanya!
% 55.94/7.49 % SZS status Theorem for theBenchmark
% 55.94/7.49 % SZS output start Proof for theBenchmark
% 55.94/7.49 thf(type_def_5, type, mu: $tType).
% 55.94/7.49 thf(func_def_0, type, mu: $tType).
% 55.94/7.49 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 55.94/7.49 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 55.94/7.49 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 55.94/7.49 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 55.94/7.49 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 55.94/7.49 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 55.94/7.49 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 55.94/7.49 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 55.94/7.49 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 55.94/7.49 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 55.94/7.49 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 55.94/7.49 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 55.94/7.49 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 55.94/7.49 thf(func_def_15, type, mtrue: $i > $o).
% 55.94/7.49 thf(func_def_16, type, mfalse: $i > $o).
% 55.94/7.49 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 55.94/7.49 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 55.94/7.49 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 55.94/7.49 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 55.94/7.49 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 55.94/7.49 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 55.94/7.49 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 55.94/7.49 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 55.94/7.49 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 55.94/7.49 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 55.94/7.49 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 55.94/7.49 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 55.94/7.49 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 55.94/7.49 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 55.94/7.49 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 55.94/7.49 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 55.94/7.49 thf(func_def_33, type, r1: $i > $i > $o).
% 55.94/7.49 thf(func_def_34, type, r2: $i > $i > $o).
% 55.94/7.49 thf(func_def_35, type, r3: $i > $i > $o).
% 55.94/7.49 thf(func_def_52, type, ph1: !>[X0: $tType]:(X0)).
% 55.94/7.49 thf(func_def_54, type, sK3: $i > $o).
% 55.94/7.49 thf(func_def_61, type, sK10: $i > $o).
% 55.94/7.49 thf(func_def_79, type, sK28: ($i > $o) > $i).
% 55.94/7.49 thf(func_def_81, type, sK30: $i > $o).
% 55.94/7.49 thf(func_def_85, type, sK34: $i > $o).
% 55.94/7.49 thf(func_def_89, type, sK38: $i > $o).
% 55.94/7.49 thf(func_def_107, type, sK56: ($i > $o) > $i).
% 55.94/7.49 thf(func_def_109, type, sK58: $i > $o).
% 55.94/7.49 thf(f8667,plain,(
% 55.94/7.49 $false),
% 55.94/7.49 inference(avatar_sat_refutation,[],[f273,f287,f300,f1003,f4195,f4218,f4230,f4306,f4382,f8567,f8666])).
% 55.94/7.49 thf(f8666,plain,(
% 55.94/7.49 ~spl0_1),
% 55.94/7.49 inference(avatar_contradiction_clause,[],[f8665])).
% 55.94/7.49 thf(f8665,plain,(
% 55.94/7.49 $false | ~spl0_1),
% 55.94/7.49 inference(trivial_inequality_removal,[],[f8664])).
% 55.94/7.49 thf(f8664,plain,(
% 55.94/7.49 ($false = $true) | ~spl0_1),
% 55.94/7.49 inference(boolean_simplification,[],[f8663])).
% 55.94/7.49 thf(f8663,plain,(
% 55.94/7.49 ($true = (~ $true)) | ~spl0_1),
% 55.94/7.49 inference(forward_demodulation,[],[f8660,f8608])).
% 55.94/7.49 thf(f8608,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK57 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ Y0 @ Y1)) | (sK58 @ Y1)))))))) = $true) | ~spl0_1),
% 55.94/7.49 inference(boolean_simplification,[],[f8607])).
% 55.94/7.49 thf(f8607,plain,(
% 55.94/7.49 (((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK57 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ Y0 @ Y1)) | (sK58 @ Y1)))))))) | $false) = $true) | ~spl0_1),
% 55.94/7.49 inference(beta_eta_normalization,[],[f8585])).
% 55.94/7.49 thf(f8585,plain,(
% 55.94/7.49 (((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK57 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ Y0 @ Y1)) | ((^[Y2 : $i]: (sK58 @ Y2)) @ Y1)))))))) | $false) = $true) | ~spl0_1),
% 55.94/7.49 inference(superposition,[],[f975,f8577])).
% 55.94/7.49 thf(f8577,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK57 @ Y0)) | (sK58 @ Y0)))) = $false) | ~spl0_1),
% 55.94/7.49 inference(boolean_simplification,[],[f8576])).
% 55.94/7.49 thf(f8576,plain,(
% 55.94/7.49 ($false = ($false | (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK57 @ Y0)) | (sK58 @ Y0)))))) | ~spl0_1),
% 55.94/7.49 inference(backward_demodulation,[],[f8573,f8575])).
% 55.94/7.49 thf(f8575,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK57 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ Y0 @ Y1)) | (sK58 @ Y1))))))))) | ~spl0_1),
% 55.94/7.49 inference(binary_proxy_clausification,[],[f8573])).
% 55.94/7.49 thf(f8573,plain,(
% 55.94/7.49 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK57 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ Y0 @ Y1)) | (sK58 @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK57 @ Y0)) | (sK58 @ Y0)))))) | ~spl0_1),
% 55.94/7.49 inference(beta_eta_normalization,[],[f8572])).
% 55.94/7.49 thf(f8572,plain,(
% 55.94/7.49 ($false = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK57 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ sK57 @ Y1)) | (Y0 @ Y1)))))) @ sK58)) | ~spl0_1),
% 55.94/7.49 inference(sigma_clausification,[],[f8571])).
% 55.94/7.49 thf(f8571,plain,(
% 55.94/7.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK57 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ sK57 @ Y1)) | (Y0 @ Y1)))))))) | ~spl0_1),
% 55.94/7.49 inference(beta_eta_normalization,[],[f8570])).
% 55.94/7.49 thf(f8570,plain,(
% 55.94/7.49 ($false = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ sK57)) | ~spl0_1),
% 55.94/7.49 inference(sigma_clausification,[],[f268])).
% 55.94/7.49 thf(f268,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) | ~spl0_1),
% 55.94/7.49 inference(avatar_component_clause,[],[f266])).
% 55.94/7.49 thf(f266,plain,(
% 55.94/7.49 spl0_1 <=> ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))),
% 55.94/7.49 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 55.94/7.49 thf(f975,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ Y0 @ Y1)) | (X2 @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ X1 @ Y0)) | (X2 @ Y0))))) = $true)) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f974])).
% 55.94/7.49 thf(f974,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ X1 @ Y1)) | (Y0 @ Y1)))))) @ X2))) )),
% 55.94/7.49 inference(pi_clausification,[],[f930])).
% 55.94/7.49 thf(f930,plain,(
% 55.94/7.49 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ X1 @ Y1)) | (Y0 @ Y1))))))))) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f929])).
% 55.94/7.49 thf(f929,plain,(
% 55.94/7.49 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ X1))) )),
% 55.94/7.49 inference(pi_clausification,[],[f241])).
% 55.94/7.49 thf(f241,plain,(
% 55.94/7.49 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))),
% 55.94/7.49 inference(boolean_simplification,[],[f240])).
% 55.94/7.49 thf(f240,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))) = $true)),
% 55.94/7.49 inference(beta_eta_normalization,[],[f213])).
% 55.94/7.49 thf(f213,plain,(
% 55.94/7.49 ($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]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ Y0))))))))),
% 55.94/7.49 inference(definition_unfolding,[],[f165,f189,f170,f201,f154,f191,f191,f154,f191])).
% 55.94/7.49 thf(f191,plain,(
% 55.94/7.49 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 55.94/7.49 inference(cnf_transformation,[],[f94])).
% 55.94/7.49 thf(f94,plain,(
% 55.94/7.49 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 55.94/7.49 inference(fool_elimination,[],[f93])).
% 55.94/7.49 thf(f93,plain,(
% 55.94/7.49 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox)),
% 55.94/7.49 inference(rectify,[],[f16])).
% 55.94/7.49 thf(f16,axiom,(
% 55.94/7.49 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox)),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 55.94/7.49 thf(f154,plain,(
% 55.94/7.49 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 55.94/7.49 inference(cnf_transformation,[],[f147])).
% 55.94/7.49 thf(f147,plain,(
% 55.94/7.49 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 55.94/7.49 inference(fool_elimination,[],[f146])).
% 55.94/7.49 thf(f146,plain,(
% 55.94/7.49 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 55.94/7.49 inference(rectify,[],[f3])).
% 55.94/7.49 thf(f3,axiom,(
% 55.94/7.49 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 55.94/7.49 thf(f201,plain,(
% 55.94/7.49 (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)))))),
% 55.94/7.49 inference(definition_unfolding,[],[f199,f167,f154])).
% 55.94/7.49 thf(f167,plain,(
% 55.94/7.49 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 55.94/7.49 inference(cnf_transformation,[],[f123])).
% 55.94/7.49 thf(f123,plain,(
% 55.94/7.49 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 55.94/7.49 inference(fool_elimination,[],[f122])).
% 55.94/7.49 thf(f122,plain,(
% 55.94/7.49 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 55.94/7.49 inference(rectify,[],[f4])).
% 55.94/7.49 thf(f4,axiom,(
% 55.94/7.49 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 55.94/7.49 thf(f199,plain,(
% 55.94/7.49 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 55.94/7.49 inference(cnf_transformation,[],[f78])).
% 55.94/7.49 thf(f78,plain,(
% 55.94/7.49 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 55.94/7.49 inference(fool_elimination,[],[f77])).
% 55.94/7.49 thf(f77,plain,(
% 55.94/7.49 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 55.94/7.49 inference(rectify,[],[f6])).
% 55.94/7.49 thf(f6,axiom,(
% 55.94/7.49 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 55.94/7.49 thf(f170,plain,(
% 55.94/7.49 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 55.94/7.49 inference(cnf_transformation,[],[f62])).
% 55.94/7.49 thf(f62,plain,(
% 55.94/7.49 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 55.94/7.49 inference(fool_elimination,[],[f61])).
% 55.94/7.49 thf(f61,plain,(
% 55.94/7.49 ((^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))) = mforall_prop)),
% 55.94/7.49 inference(rectify,[],[f11])).
% 55.94/7.49 thf(f11,axiom,(
% 55.94/7.49 ((^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))) = mforall_prop)),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_prop)).
% 55.94/7.49 thf(f189,plain,(
% 55.94/7.49 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 55.94/7.49 inference(cnf_transformation,[],[f136])).
% 55.94/7.49 thf(f136,plain,(
% 55.94/7.49 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 55.94/7.49 inference(fool_elimination,[],[f135])).
% 55.94/7.49 thf(f135,plain,(
% 55.94/7.49 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 55.94/7.49 inference(rectify,[],[f28])).
% 55.94/7.49 thf(f28,axiom,(
% 55.94/7.49 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 55.94/7.49 thf(f165,plain,(
% 55.94/7.49 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r3 @ Y0)) @ (mbox @ r3 @ (mnot @ (mbox @ r3 @ Y0))))))) = $true)),
% 55.94/7.49 inference(cnf_transformation,[],[f84])).
% 55.94/7.49 thf(f84,plain,(
% 55.94/7.49 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r3 @ Y0)) @ (mbox @ r3 @ (mnot @ (mbox @ r3 @ Y0))))))) = $true)),
% 55.94/7.49 inference(fool_elimination,[],[f83])).
% 55.94/7.49 thf(f83,plain,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mnot @ (mbox @ r3 @ X0)) @ (mbox @ r3 @ (mnot @ (mbox @ r3 @ X0)))))))),
% 55.94/7.49 inference(rectify,[],[f49])).
% 55.94/7.49 thf(f49,axiom,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r3 @ X3)) @ (mbox @ r3 @ (mnot @ (mbox @ r3 @ X3)))))))),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5_for_r3)).
% 55.94/7.49 thf(f8660,plain,(
% 55.94/7.49 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK57 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ Y0 @ Y1)) | (sK58 @ Y1)))))))))) | ~spl0_1),
% 55.94/7.49 inference(boolean_simplification,[],[f8659])).
% 55.94/7.49 thf(f8659,plain,(
% 55.94/7.49 (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK57 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ Y0 @ Y1)) | (sK58 @ Y1)))))))))) = $true) | ~spl0_1),
% 55.94/7.49 inference(beta_eta_normalization,[],[f8628])).
% 55.94/7.49 thf(f8628,plain,(
% 55.94/7.49 (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK57 @ Y0)) | ((^[Y1 : $i]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y1 @ Y2)) | (sK58 @ Y2)))))) @ Y0)))))) = $true) | ~spl0_1),
% 55.94/7.49 inference(superposition,[],[f413,f8575])).
% 55.94/7.49 thf(f413,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ X1 @ Y0)) | (X2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ X1 @ Y0)) | (X2 @ Y0)))))))) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f412])).
% 55.94/7.49 thf(f412,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (Y0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ X1 @ Y1)) | (Y0 @ Y1))))))) @ X2) = $true)) )),
% 55.94/7.49 inference(pi_clausification,[],[f408])).
% 55.94/7.49 thf(f408,plain,(
% 55.94/7.49 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (Y0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ X1 @ Y1)) | (Y0 @ Y1)))))))))) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f407])).
% 55.94/7.49 thf(f407,plain,(
% 55.94/7.49 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) @ X1) = $true)) )),
% 55.94/7.49 inference(pi_clausification,[],[f252])).
% 55.94/7.49 thf(f252,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) = $true)),
% 55.94/7.49 inference(beta_eta_normalization,[],[f216])).
% 55.94/7.49 thf(f216,plain,(
% 55.94/7.49 (((^[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]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ Y0))))) = $true)),
% 55.94/7.49 inference(definition_unfolding,[],[f171,f189,f170,f201,f191,f191])).
% 55.94/7.49 thf(f171,plain,(
% 55.94/7.49 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r3 @ Y0) @ (mbox @ r2 @ Y0))))) = $true)),
% 55.94/7.49 inference(cnf_transformation,[],[f56])).
% 55.94/7.49 thf(f56,plain,(
% 55.94/7.49 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r3 @ Y0) @ (mbox @ r2 @ Y0))))) = $true)),
% 55.94/7.49 inference(fool_elimination,[],[f55])).
% 55.94/7.49 thf(f55,plain,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ r3 @ X0) @ (mbox @ r2 @ X0)))))),
% 55.94/7.49 inference(rectify,[],[f37])).
% 55.94/7.49 thf(f37,axiom,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ r3 @ X3) @ (mbox @ r2 @ X3)))))),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_for_r3_r2)).
% 55.94/7.49 thf(f8567,plain,(
% 55.94/7.49 spl0_8 | ~spl0_10),
% 55.94/7.49 inference(avatar_contradiction_clause,[],[f8566])).
% 55.94/7.49 thf(f8566,plain,(
% 55.94/7.49 $false | (spl0_8 | ~spl0_10)),
% 55.94/7.49 inference(trivial_inequality_removal,[],[f8565])).
% 55.94/7.49 thf(f8565,plain,(
% 55.94/7.49 ($false = $true) | (spl0_8 | ~spl0_10)),
% 55.94/7.49 inference(boolean_simplification,[],[f8564])).
% 55.94/7.49 thf(f8564,plain,(
% 55.94/7.49 ($true = (~ $true)) | (spl0_8 | ~spl0_10)),
% 55.94/7.49 inference(forward_demodulation,[],[f8555,f4575])).
% 55.94/7.49 thf(f4575,plain,(
% 55.94/7.49 ((r3 @ sK37 @ sK40) = $true) | ~spl0_10),
% 55.94/7.49 inference(not_proxy_clausification,[],[f4503])).
% 55.94/7.49 thf(f4503,plain,(
% 55.94/7.49 ($false = (~ (r3 @ sK37 @ sK40))) | ~spl0_10),
% 55.94/7.49 inference(binary_proxy_clausification,[],[f4472])).
% 55.94/7.49 thf(f4472,plain,(
% 55.94/7.49 ($false = ((~ (r3 @ sK37 @ sK40)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK40 @ Y0)) | (sK38 @ Y0))))))) | ~spl0_10),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4462])).
% 55.94/7.49 thf(f4462,plain,(
% 55.94/7.49 ($false = ((^[Y0 : $i]: ((~ (r3 @ sK37 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK38 @ Y1))))))) @ sK40)) | ~spl0_10),
% 55.94/7.49 inference(sigma_clausification,[],[f4427])).
% 55.94/7.49 thf(f4427,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK37 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK38 @ Y1))))))))) | ~spl0_10),
% 55.94/7.49 inference(boolean_simplification,[],[f4426])).
% 55.94/7.49 thf(f4426,plain,(
% 55.94/7.49 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK37 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK38 @ Y1)))))))) | $false)) | ~spl0_10),
% 55.94/7.49 inference(backward_demodulation,[],[f4423,f4424])).
% 55.94/7.49 thf(f4424,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK37 @ Y0)) | (sK38 @ Y0))))) | ~spl0_10),
% 55.94/7.49 inference(binary_proxy_clausification,[],[f4423])).
% 55.94/7.49 thf(f4423,plain,(
% 55.94/7.49 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK37 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK38 @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK37 @ Y0)) | (sK38 @ Y0)))))) | ~spl0_10),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4422])).
% 55.94/7.49 thf(f4422,plain,(
% 55.94/7.49 ($false = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ sK37 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK37 @ Y1)) | (Y0 @ Y1)))))) @ sK38)) | ~spl0_10),
% 55.94/7.49 inference(sigma_clausification,[],[f4421])).
% 55.94/7.49 thf(f4421,plain,(
% 55.94/7.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ sK37 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK37 @ Y1)) | (Y0 @ Y1)))))))) | ~spl0_10),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4420])).
% 55.94/7.49 thf(f4420,plain,(
% 55.94/7.49 ($false = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ sK37)) | ~spl0_10),
% 55.94/7.49 inference(sigma_clausification,[],[f4229])).
% 55.94/7.49 thf(f4229,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) | ~spl0_10),
% 55.94/7.49 inference(avatar_component_clause,[],[f4227])).
% 55.94/7.49 thf(f4227,plain,(
% 55.94/7.49 spl0_10 <=> ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))),
% 55.94/7.49 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 55.94/7.49 thf(f8555,plain,(
% 55.94/7.49 ((~ (r3 @ sK37 @ sK40)) = $true) | (spl0_8 | ~spl0_10)),
% 55.94/7.49 inference(boolean_simplification,[],[f8552])).
% 55.94/7.49 thf(f8552,plain,(
% 55.94/7.49 ($true = ((~ (r3 @ sK37 @ sK40)) | $false)) | (spl0_8 | ~spl0_10)),
% 55.94/7.49 inference(superposition,[],[f8526,f7082])).
% 55.94/7.49 thf(f7082,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK40 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK38 @ Y1))))))))) | ~spl0_10),
% 55.94/7.49 inference(not_proxy_clausification,[],[f4951])).
% 55.94/7.49 thf(f4951,plain,(
% 55.94/7.49 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK40 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK38 @ Y1))))))))) = $true) | ~spl0_10),
% 55.94/7.49 inference(boolean_simplification,[],[f4950])).
% 55.94/7.49 thf(f4950,plain,(
% 55.94/7.49 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK40 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK38 @ Y1))))))))) | $false) = $true) | ~spl0_10),
% 55.94/7.49 inference(boolean_simplification,[],[f4949])).
% 55.94/7.49 thf(f4949,plain,(
% 55.94/7.49 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK40 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK38 @ Y1))))))))) | (~ $true)) = $true) | ~spl0_10),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4941])).
% 55.94/7.49 thf(f4941,plain,(
% 55.94/7.49 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK40 @ Y0)) | (~ ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y1 @ Y2)) | (sK38 @ Y2))))) @ Y0)))))) | (~ $true)) = $true) | ~spl0_10),
% 55.94/7.49 inference(superposition,[],[f480,f4529])).
% 55.94/7.49 thf(f4529,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK40 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK38 @ Y1))))))) = $true) | ~spl0_10),
% 55.94/7.49 inference(boolean_simplification,[],[f4528])).
% 55.94/7.49 thf(f4528,plain,(
% 55.94/7.49 ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK40 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK38 @ Y1))))))) | $false)) | ~spl0_10),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4517])).
% 55.94/7.49 thf(f4517,plain,(
% 55.94/7.49 ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK40 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | ((^[Y2 : $i]: (sK38 @ Y2)) @ Y1))))))) | $false)) | ~spl0_10),
% 55.94/7.49 inference(superposition,[],[f1167,f4509])).
% 55.94/7.49 thf(f4509,plain,(
% 55.94/7.49 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK40 @ Y0)) | (sK38 @ Y0)))))) | ~spl0_10),
% 55.94/7.49 inference(boolean_simplification,[],[f4508])).
% 55.94/7.49 thf(f4508,plain,(
% 55.94/7.49 ($false = ($false | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK40 @ Y0)) | (sK38 @ Y0))))))) | ~spl0_10),
% 55.94/7.49 inference(backward_demodulation,[],[f4472,f4503])).
% 55.94/7.49 thf(f1167,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ X1 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (X2 @ Y1))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ X1 @ Y0)) | (X2 @ Y0)))))) = $true)) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f1166])).
% 55.94/7.49 thf(f1166,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y1 @ Y2)) | (Y0 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (Y0 @ Y1))))))) @ X2))) )),
% 55.94/7.49 inference(pi_clausification,[],[f1162])).
% 55.94/7.49 thf(f1162,plain,(
% 55.94/7.49 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y1 @ Y2)) | (Y0 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (Y0 @ Y1)))))))))) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f1161])).
% 55.94/7.49 thf(f1161,plain,(
% 55.94/7.49 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) @ X1) = $true)) )),
% 55.94/7.49 inference(pi_clausification,[],[f242])).
% 55.94/7.49 thf(f242,plain,(
% 55.94/7.49 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))),
% 55.94/7.49 inference(beta_eta_normalization,[],[f225])).
% 55.94/7.49 thf(f225,plain,(
% 55.94/7.49 (((^[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]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ Y0)))))) = $true)),
% 55.94/7.49 inference(definition_unfolding,[],[f182,f189,f170,f201,f191,f191,f191])).
% 55.94/7.49 thf(f182,plain,(
% 55.94/7.49 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r2 @ Y0) @ (mbox @ r1 @ (mbox @ r2 @ Y0)))))) = $true)),
% 55.94/7.49 inference(cnf_transformation,[],[f100])).
% 55.94/7.49 thf(f100,plain,(
% 55.94/7.49 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r2 @ Y0) @ (mbox @ r1 @ (mbox @ r2 @ Y0)))))) = $true)),
% 55.94/7.49 inference(fool_elimination,[],[f99])).
% 55.94/7.49 thf(f99,plain,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ r2 @ X0) @ (mbox @ r1 @ (mbox @ r2 @ X0))))))),
% 55.94/7.49 inference(rectify,[],[f41])).
% 55.94/7.49 thf(f41,axiom,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ r2 @ X3) @ (mbox @ r1 @ (mbox @ r2 @ X3))))))),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4s_for_r2_r1)).
% 55.94/7.49 thf(f480,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ X1 @ Y0)) | (~ (X2 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ X1 @ Y0)) | (X2 @ Y0)))))))) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f479])).
% 55.94/7.49 thf(f479,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (~ (Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (Y0 @ Y1))))))) @ X2) = $true)) )),
% 55.94/7.49 inference(pi_clausification,[],[f475])).
% 55.94/7.49 thf(f475,plain,(
% 55.94/7.49 ( ! [X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (~ (Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (Y0 @ Y1)))))))) = $true)) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f474])).
% 55.94/7.49 thf(f474,plain,(
% 55.94/7.49 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) @ X1) = $true)) )),
% 55.94/7.49 inference(pi_clausification,[],[f238])).
% 55.94/7.49 thf(f238,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) = $true)),
% 55.94/7.49 inference(beta_eta_normalization,[],[f215])).
% 55.94/7.49 thf(f215,plain,(
% 55.94/7.49 (((^[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]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y6))))))))) @ Y1 @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y2)))))) @ r1 @ Y0))))) = $true)),
% 55.94/7.49 inference(definition_unfolding,[],[f169,f189,f170,f201,f191,f208])).
% 55.94/7.49 thf(f208,plain,(
% 55.94/7.49 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y2 @ Y4 @ Y5)) | (Y3 @ Y5))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 55.94/7.49 inference(definition_unfolding,[],[f174,f154,f191,f154])).
% 55.94/7.49 thf(f174,plain,(
% 55.94/7.49 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 55.94/7.49 inference(cnf_transformation,[],[f98])).
% 55.94/7.49 thf(f98,plain,(
% 55.94/7.49 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 55.94/7.49 inference(fool_elimination,[],[f97])).
% 55.94/7.49 thf(f97,plain,(
% 55.94/7.49 ((^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))) = mdia)),
% 55.94/7.49 inference(rectify,[],[f17])).
% 55.94/7.49 thf(f17,axiom,(
% 55.94/7.49 ((^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))) = mdia)),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia)).
% 55.94/7.49 thf(f169,plain,(
% 55.94/7.49 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r1 @ Y0) @ (mdia @ r1 @ Y0))))))),
% 55.94/7.49 inference(cnf_transformation,[],[f145])).
% 55.94/7.49 thf(f145,plain,(
% 55.94/7.49 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r1 @ Y0) @ (mdia @ r1 @ Y0))))))),
% 55.94/7.49 inference(fool_elimination,[],[f144])).
% 55.94/7.49 thf(f144,plain,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ r1 @ X0) @ (mdia @ r1 @ X0)))))),
% 55.94/7.49 inference(rectify,[],[f32])).
% 55.94/7.49 thf(f32,axiom,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ r1 @ X3) @ (mdia @ r1 @ X3)))))),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_D_for_r1)).
% 55.94/7.49 thf(f8526,plain,(
% 55.94/7.49 ( ! [X1 : $i] : (($true = ((~ (r3 @ sK37 @ X1)) | (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK38 @ Y1))))))))))) ) | (spl0_8 | ~spl0_10)),
% 55.94/7.49 inference(beta_eta_normalization,[],[f8502])).
% 55.94/7.49 thf(f8502,plain,(
% 55.94/7.49 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (r3 @ sK37 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y1 @ Y2)) | (sK38 @ Y2)))))))))) @ X1) = $true)) ) | (spl0_8 | ~spl0_10)),
% 55.94/7.49 inference(pi_clausification,[],[f5022])).
% 55.94/7.49 thf(f5022,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK37 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y1 @ Y2)) | (sK38 @ Y2))))))))))) = $true) | (spl0_8 | ~spl0_10)),
% 55.94/7.49 inference(boolean_simplification,[],[f5021])).
% 55.94/7.49 thf(f5021,plain,(
% 55.94/7.49 (((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK37 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y1 @ Y2)) | (sK38 @ Y2))))))))))) | $false) = $true) | (spl0_8 | ~spl0_10)),
% 55.94/7.49 inference(boolean_simplification,[],[f5020])).
% 55.94/7.49 thf(f5020,plain,(
% 55.94/7.49 ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK37 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y1 @ Y2)) | (sK38 @ Y2))))))))))) | (~ $true))) | (spl0_8 | ~spl0_10)),
% 55.94/7.49 inference(beta_eta_normalization,[],[f5001])).
% 55.94/7.49 thf(f5001,plain,(
% 55.94/7.49 (((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK37 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | ((^[Y2 : $i]: (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (sK38 @ Y3)))))) @ Y1))))))) | (~ $true)) = $true) | (spl0_8 | ~spl0_10)),
% 55.94/7.49 inference(superposition,[],[f1251,f4439])).
% 55.94/7.49 thf(f4439,plain,(
% 55.94/7.49 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK37 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK38 @ Y1))))))))) | (spl0_8 | ~spl0_10)),
% 55.94/7.49 inference(boolean_simplification,[],[f4438])).
% 55.94/7.49 thf(f4438,plain,(
% 55.94/7.49 ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK37 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK38 @ Y1)))))))) | $false)) | (spl0_8 | ~spl0_10)),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4437])).
% 55.94/7.49 thf(f4437,plain,(
% 55.94/7.49 ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK37 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | ((^[Y2 : $i]: (sK38 @ Y2)) @ Y1)))))))) | $false)) | (spl0_8 | ~spl0_10)),
% 55.94/7.49 inference(superposition,[],[f4391,f4424])).
% 55.94/7.49 thf(f4391,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (X2 @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ X1 @ Y0)) | (X2 @ Y0))))) = $true)) ) | spl0_8),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4390])).
% 55.94/7.49 thf(f4390,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (Y0 @ Y1)))))) @ X2) = $true)) ) | spl0_8),
% 55.94/7.49 inference(pi_clausification,[],[f4389])).
% 55.94/7.49 thf(f4389,plain,(
% 55.94/7.49 ( ! [X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (Y0 @ Y1))))))) = $true)) ) | spl0_8),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4388])).
% 55.94/7.49 thf(f4388,plain,(
% 55.94/7.49 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ X1) = $true)) ) | spl0_8),
% 55.94/7.49 inference(pi_clausification,[],[f4216])).
% 55.94/7.49 thf(f4216,plain,(
% 55.94/7.49 ($false != (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) | spl0_8),
% 55.94/7.49 inference(avatar_component_clause,[],[f4215])).
% 55.94/7.49 thf(f4215,plain,(
% 55.94/7.49 spl0_8 <=> ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))),
% 55.94/7.49 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 55.94/7.49 thf(f1251,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ X1 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (X2 @ Y1))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ X1 @ Y0)) | (X2 @ Y0)))))))) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f1250])).
% 55.94/7.49 thf(f1250,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ X1 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (Y0 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (Y0 @ Y1))))))) @ X2) = $true)) )),
% 55.94/7.49 inference(pi_clausification,[],[f1249])).
% 55.94/7.49 thf(f1249,plain,(
% 55.94/7.49 ( ! [X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ X1 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (Y0 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (Y0 @ Y1)))))))) = $true)) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f1248])).
% 55.94/7.49 thf(f1248,plain,(
% 55.94/7.49 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) @ X1) = $true)) )),
% 55.94/7.49 inference(pi_clausification,[],[f250])).
% 55.94/7.49 thf(f250,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) = $true)),
% 55.94/7.49 inference(beta_eta_normalization,[],[f221])).
% 55.94/7.49 thf(f221,plain,(
% 55.94/7.49 ($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]: ((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]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ Y0)))))))),
% 55.94/7.49 inference(definition_unfolding,[],[f178,f189,f170,f201,f191,f191,f191])).
% 55.94/7.49 thf(f178,plain,(
% 55.94/7.49 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r1 @ Y0) @ (mbox @ r3 @ (mbox @ r1 @ Y0)))))) = $true)),
% 55.94/7.49 inference(cnf_transformation,[],[f70])).
% 55.94/7.49 thf(f70,plain,(
% 55.94/7.49 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r1 @ Y0) @ (mbox @ r3 @ (mbox @ r1 @ Y0)))))) = $true)),
% 55.94/7.49 inference(fool_elimination,[],[f69])).
% 55.94/7.49 thf(f69,plain,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ r1 @ X0) @ (mbox @ r3 @ (mbox @ r1 @ X0))))))),
% 55.94/7.49 inference(rectify,[],[f40])).
% 55.94/7.49 thf(f40,axiom,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ r1 @ X3) @ (mbox @ r3 @ (mbox @ r1 @ X3))))))),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4s_for_r1_r3)).
% 55.94/7.49 thf(f4382,plain,(
% 55.94/7.49 ~spl0_8),
% 55.94/7.49 inference(avatar_contradiction_clause,[],[f4381])).
% 55.94/7.49 thf(f4381,plain,(
% 55.94/7.49 $false | ~spl0_8),
% 55.94/7.49 inference(trivial_inequality_removal,[],[f4380])).
% 55.94/7.49 thf(f4380,plain,(
% 55.94/7.49 ($false = $true) | ~spl0_8),
% 55.94/7.49 inference(boolean_simplification,[],[f4379])).
% 55.94/7.49 thf(f4379,plain,(
% 55.94/7.49 ($true = (~ $true)) | ~spl0_8),
% 55.94/7.49 inference(backward_demodulation,[],[f4347,f4363])).
% 55.94/7.49 thf(f4363,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK33 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK34 @ Y1)))))))) = $true) | ~spl0_8),
% 55.94/7.49 inference(boolean_simplification,[],[f4362])).
% 55.94/7.49 thf(f4362,plain,(
% 55.94/7.49 ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK33 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK34 @ Y1)))))))) | $false)) | ~spl0_8),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4357])).
% 55.94/7.49 thf(f4357,plain,(
% 55.94/7.49 ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK33 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | ((^[Y2 : $i]: (sK34 @ Y2)) @ Y1)))))))) | $false)) | ~spl0_8),
% 55.94/7.49 inference(superposition,[],[f794,f4313])).
% 55.94/7.49 thf(f4313,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK33 @ Y0)) | (sK34 @ Y0))))) | ~spl0_8),
% 55.94/7.49 inference(binary_proxy_clausification,[],[f4312])).
% 55.94/7.49 thf(f4312,plain,(
% 55.94/7.49 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK33 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK34 @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK33 @ Y0)) | (sK34 @ Y0)))))) | ~spl0_8),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4311])).
% 55.94/7.49 thf(f4311,plain,(
% 55.94/7.49 ($false = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ sK33 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK33 @ Y1)) | (Y0 @ Y1)))))) @ sK34)) | ~spl0_8),
% 55.94/7.49 inference(sigma_clausification,[],[f4310])).
% 55.94/7.49 thf(f4310,plain,(
% 55.94/7.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ sK33 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK33 @ Y1)) | (Y0 @ Y1)))))))) | ~spl0_8),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4309])).
% 55.94/7.49 thf(f4309,plain,(
% 55.94/7.49 ($false = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ sK33)) | ~spl0_8),
% 55.94/7.49 inference(sigma_clausification,[],[f4217])).
% 55.94/7.49 thf(f4217,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) | ~spl0_8),
% 55.94/7.49 inference(avatar_component_clause,[],[f4215])).
% 55.94/7.49 thf(f794,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (X2 @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ X1 @ Y0)) | (X2 @ Y0))))))) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f793])).
% 55.94/7.49 thf(f793,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (Y0 @ Y1)))))) @ X2) = $true)) )),
% 55.94/7.49 inference(pi_clausification,[],[f768])).
% 55.94/7.49 thf(f768,plain,(
% 55.94/7.49 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (Y0 @ Y1))))))))) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f767])).
% 55.94/7.49 thf(f767,plain,(
% 55.94/7.49 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ X1) = $true)) )),
% 55.94/7.49 inference(pi_clausification,[],[f235])).
% 55.94/7.49 thf(f235,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) = $true)),
% 55.94/7.49 inference(boolean_simplification,[],[f234])).
% 55.94/7.49 thf(f234,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))) = $true)),
% 55.94/7.49 inference(beta_eta_normalization,[],[f214])).
% 55.94/7.49 thf(f214,plain,(
% 55.94/7.49 ($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]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ Y0))))))))),
% 55.94/7.49 inference(definition_unfolding,[],[f168,f189,f170,f201,f154,f191,f191,f154,f191])).
% 55.94/7.49 thf(f168,plain,(
% 55.94/7.49 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r2 @ Y0)) @ (mbox @ r2 @ (mnot @ (mbox @ r2 @ Y0))))))))),
% 55.94/7.49 inference(cnf_transformation,[],[f82])).
% 55.94/7.49 thf(f82,plain,(
% 55.94/7.49 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r2 @ Y0)) @ (mbox @ r2 @ (mnot @ (mbox @ r2 @ Y0))))))))),
% 55.94/7.49 inference(fool_elimination,[],[f81])).
% 55.94/7.49 thf(f81,plain,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mnot @ (mbox @ r2 @ X0)) @ (mbox @ r2 @ (mnot @ (mbox @ r2 @ X0)))))))),
% 55.94/7.49 inference(rectify,[],[f48])).
% 55.94/7.49 thf(f48,axiom,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r2 @ X3)) @ (mbox @ r2 @ (mnot @ (mbox @ r2 @ X3)))))))),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5_for_r2)).
% 55.94/7.49 thf(f4347,plain,(
% 55.94/7.49 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK33 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK34 @ Y1)))))))))) | ~spl0_8),
% 55.94/7.49 inference(boolean_simplification,[],[f4346])).
% 55.94/7.49 thf(f4346,plain,(
% 55.94/7.49 (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK33 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK34 @ Y1)))))))))) = $true) | ~spl0_8),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4318])).
% 55.94/7.49 thf(f4318,plain,(
% 55.94/7.49 (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK33 @ Y0)) | ((^[Y1 : $i]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y1 @ Y2)) | (sK34 @ Y2)))))) @ Y0)))))) = $true) | ~spl0_8),
% 55.94/7.49 inference(superposition,[],[f277,f4316])).
% 55.94/7.49 thf(f4316,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK33 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK34 @ Y1))))))))) | ~spl0_8),
% 55.94/7.49 inference(boolean_simplification,[],[f4315])).
% 55.94/7.49 thf(f4315,plain,(
% 55.94/7.49 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK33 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ Y0 @ Y1)) | (sK34 @ Y1)))))))) | $false)) | ~spl0_8),
% 55.94/7.49 inference(backward_demodulation,[],[f4312,f4313])).
% 55.94/7.49 thf(f277,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ X1 @ Y0)) | (X2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ X1 @ Y0)) | (X2 @ Y0)))))) = $true)) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f276])).
% 55.94/7.49 thf(f276,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (Y0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (Y0 @ Y1))))))) @ X2) = $true)) )),
% 55.94/7.49 inference(pi_clausification,[],[f263])).
% 55.94/7.49 thf(f263,plain,(
% 55.94/7.49 ( ! [X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (Y0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (Y0 @ Y1)))))))) = $true)) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f262])).
% 55.94/7.49 thf(f262,plain,(
% 55.94/7.49 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) @ X1) = $true)) )),
% 55.94/7.49 inference(pi_clausification,[],[f247])).
% 55.94/7.49 thf(f247,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) = $true)),
% 55.94/7.49 inference(beta_eta_normalization,[],[f212])).
% 55.94/7.49 thf(f212,plain,(
% 55.94/7.49 (((^[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]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ Y0))))) = $true)),
% 55.94/7.49 inference(definition_unfolding,[],[f164,f189,f170,f201,f191,f191])).
% 55.94/7.49 thf(f164,plain,(
% 55.94/7.49 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r2 @ Y0) @ (mbox @ r1 @ Y0))))) = $true)),
% 55.94/7.49 inference(cnf_transformation,[],[f90])).
% 55.94/7.49 thf(f90,plain,(
% 55.94/7.49 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r2 @ Y0) @ (mbox @ r1 @ Y0))))) = $true)),
% 55.94/7.49 inference(fool_elimination,[],[f89])).
% 55.94/7.49 thf(f89,plain,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ r2 @ X0) @ (mbox @ r1 @ X0)))))),
% 55.94/7.49 inference(rectify,[],[f35])).
% 55.94/7.49 thf(f35,axiom,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ r2 @ X3) @ (mbox @ r1 @ X3)))))),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_for_r2_r1)).
% 55.94/7.49 thf(f4306,plain,(
% 55.94/7.49 spl0_5 | ~spl0_9),
% 55.94/7.49 inference(avatar_contradiction_clause,[],[f4305])).
% 55.94/7.49 thf(f4305,plain,(
% 55.94/7.49 $false | (spl0_5 | ~spl0_9)),
% 55.94/7.49 inference(trivial_inequality_removal,[],[f4304])).
% 55.94/7.49 thf(f4304,plain,(
% 55.94/7.49 ($false = $true) | (spl0_5 | ~spl0_9)),
% 55.94/7.49 inference(boolean_simplification,[],[f4303])).
% 55.94/7.49 thf(f4303,plain,(
% 55.94/7.49 ($true = (~ $true)) | (spl0_5 | ~spl0_9)),
% 55.94/7.49 inference(forward_demodulation,[],[f4287,f4263])).
% 55.94/7.49 thf(f4263,plain,(
% 55.94/7.49 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK29 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK30 @ Y1))))))))) | (spl0_5 | ~spl0_9)),
% 55.94/7.49 inference(boolean_simplification,[],[f4262])).
% 55.94/7.49 thf(f4262,plain,(
% 55.94/7.49 ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK29 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK30 @ Y1)))))))) | $false)) | (spl0_5 | ~spl0_9)),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4249])).
% 55.94/7.49 thf(f4249,plain,(
% 55.94/7.49 ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK29 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | ((^[Y2 : $i]: (sK30 @ Y2)) @ Y1)))))))) | $false)) | (spl0_5 | ~spl0_9)),
% 55.94/7.49 inference(superposition,[],[f4204,f4237])).
% 55.94/7.49 thf(f4237,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK29 @ Y0)) | (sK30 @ Y0))))) | ~spl0_9),
% 55.94/7.49 inference(binary_proxy_clausification,[],[f4236])).
% 55.94/7.49 thf(f4236,plain,(
% 55.94/7.49 (((!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK29 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK30 @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK29 @ Y0)) | (sK30 @ Y0))))) = $false) | ~spl0_9),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4235])).
% 55.94/7.49 thf(f4235,plain,(
% 55.94/7.49 ($false = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK29 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ sK29 @ Y1)) | (Y0 @ Y1)))))) @ sK30)) | ~spl0_9),
% 55.94/7.49 inference(sigma_clausification,[],[f4234])).
% 55.94/7.49 thf(f4234,plain,(
% 55.94/7.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK29 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ sK29 @ Y1)) | (Y0 @ Y1)))))))) | ~spl0_9),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4233])).
% 55.94/7.49 thf(f4233,plain,(
% 55.94/7.49 ($false = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ sK29)) | ~spl0_9),
% 55.94/7.49 inference(sigma_clausification,[],[f4225])).
% 55.94/7.49 thf(f4225,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) | ~spl0_9),
% 55.94/7.49 inference(avatar_component_clause,[],[f4223])).
% 55.94/7.49 thf(f4223,plain,(
% 55.94/7.49 spl0_9 <=> ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))),
% 55.94/7.49 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 55.94/7.49 thf(f4204,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (X2 @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ X1 @ Y0)) | (X2 @ Y0))))))) ) | spl0_5),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4203])).
% 55.94/7.49 thf(f4203,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (Y0 @ Y1)))))) @ X2))) ) | spl0_5),
% 55.94/7.49 inference(pi_clausification,[],[f4202])).
% 55.94/7.49 thf(f4202,plain,(
% 55.94/7.49 ( ! [X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (Y0 @ Y1))))))) = $true)) ) | spl0_5),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4201])).
% 55.94/7.49 thf(f4201,plain,(
% 55.94/7.49 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ X1) = $true)) ) | spl0_5),
% 55.94/7.49 inference(pi_clausification,[],[f294])).
% 55.94/7.49 thf(f294,plain,(
% 55.94/7.49 ($false != (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) | spl0_5),
% 55.94/7.49 inference(avatar_component_clause,[],[f293])).
% 55.94/7.49 thf(f293,plain,(
% 55.94/7.49 spl0_5 <=> ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))),
% 55.94/7.49 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 55.94/7.49 thf(f4287,plain,(
% 55.94/7.49 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK29 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK30 @ Y1)))))))))) | ~spl0_9),
% 55.94/7.49 inference(boolean_simplification,[],[f4286])).
% 55.94/7.49 thf(f4286,plain,(
% 55.94/7.49 (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK29 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK30 @ Y1)))))))))) = $true) | ~spl0_9),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4273])).
% 55.94/7.49 thf(f4273,plain,(
% 55.94/7.49 ($true = ($false | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK29 @ Y0)) | ((^[Y1 : $i]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (sK30 @ Y2)))))) @ Y0))))))) | ~spl0_9),
% 55.94/7.49 inference(superposition,[],[f413,f4240])).
% 55.94/7.49 thf(f4240,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK29 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK30 @ Y1))))))))) | ~spl0_9),
% 55.94/7.49 inference(boolean_simplification,[],[f4239])).
% 55.94/7.49 thf(f4239,plain,(
% 55.94/7.49 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK29 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK30 @ Y1)))))))) | $false)) | ~spl0_9),
% 55.94/7.49 inference(backward_demodulation,[],[f4236,f4237])).
% 55.94/7.49 thf(f4230,plain,(
% 55.94/7.49 spl0_9 | spl0_10 | ~spl0_7),
% 55.94/7.49 inference(avatar_split_clause,[],[f4221,f4211,f4227,f4223])).
% 55.94/7.49 thf(f4211,plain,(
% 55.94/7.49 spl0_7 <=> ($false = ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))),
% 55.94/7.49 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 55.94/7.49 thf(f4221,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) | ~spl0_7),
% 55.94/7.49 inference(binary_proxy_clausification,[],[f4213])).
% 55.94/7.49 thf(f4213,plain,(
% 55.94/7.49 ($false = ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))) | ~spl0_7),
% 55.94/7.49 inference(avatar_component_clause,[],[f4211])).
% 55.94/7.49 thf(f4218,plain,(
% 55.94/7.49 spl0_7 | spl0_8 | ~spl0_6),
% 55.94/7.49 inference(avatar_split_clause,[],[f4209,f297,f4215,f4211])).
% 55.94/7.49 thf(f297,plain,(
% 55.94/7.49 spl0_6 <=> ($false = (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))),
% 55.94/7.49 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 55.94/7.49 thf(f4209,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) | ($false = ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))) | ~spl0_6),
% 55.94/7.49 inference(binary_proxy_clausification,[],[f299])).
% 55.94/7.49 thf(f299,plain,(
% 55.94/7.49 ($false = (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))) | ~spl0_6),
% 55.94/7.49 inference(avatar_component_clause,[],[f297])).
% 55.94/7.49 thf(f4195,plain,(
% 55.94/7.49 ~spl0_5),
% 55.94/7.49 inference(avatar_contradiction_clause,[],[f4194])).
% 55.94/7.49 thf(f4194,plain,(
% 55.94/7.49 $false | ~spl0_5),
% 55.94/7.49 inference(trivial_inequality_removal,[],[f4193])).
% 55.94/7.49 thf(f4193,plain,(
% 55.94/7.49 ($false = $true) | ~spl0_5),
% 55.94/7.49 inference(boolean_simplification,[],[f4192])).
% 55.94/7.49 thf(f4192,plain,(
% 55.94/7.49 ($true = (~ $true)) | ~spl0_5),
% 55.94/7.49 inference(forward_demodulation,[],[f4183,f1094])).
% 55.94/7.49 thf(f1094,plain,(
% 55.94/7.49 ((r3 @ sK9 @ sK12) = $true) | ~spl0_5),
% 55.94/7.49 inference(not_proxy_clausification,[],[f1082])).
% 55.94/7.49 thf(f1082,plain,(
% 55.94/7.49 ($false = (~ (r3 @ sK9 @ sK12))) | ~spl0_5),
% 55.94/7.49 inference(binary_proxy_clausification,[],[f1059])).
% 55.94/7.49 thf(f1059,plain,(
% 55.94/7.49 ($false = ((~ (r3 @ sK9 @ sK12)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK12 @ Y0)) | (sK10 @ Y0))))))) | ~spl0_5),
% 55.94/7.49 inference(beta_eta_normalization,[],[f1041])).
% 55.94/7.49 thf(f1041,plain,(
% 55.94/7.49 ($false = ((^[Y0 : $i]: ((~ (r3 @ sK9 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK10 @ Y1))))))) @ sK12)) | ~spl0_5),
% 55.94/7.49 inference(sigma_clausification,[],[f1021])).
% 55.94/7.49 thf(f1021,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK9 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK10 @ Y1))))))))) | ~spl0_5),
% 55.94/7.49 inference(boolean_simplification,[],[f1020])).
% 55.94/7.49 thf(f1020,plain,(
% 55.94/7.49 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK9 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK10 @ Y1)))))))) | $false)) | ~spl0_5),
% 55.94/7.49 inference(backward_demodulation,[],[f1017,f1018])).
% 55.94/7.49 thf(f1018,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK9 @ Y0)) | (sK10 @ Y0))))) | ~spl0_5),
% 55.94/7.49 inference(binary_proxy_clausification,[],[f1017])).
% 55.94/7.49 thf(f1017,plain,(
% 55.94/7.49 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK9 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK10 @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK9 @ Y0)) | (sK10 @ Y0)))))) | ~spl0_5),
% 55.94/7.49 inference(beta_eta_normalization,[],[f1016])).
% 55.94/7.49 thf(f1016,plain,(
% 55.94/7.49 ($false = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ sK9 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ sK9 @ Y1)) | (Y0 @ Y1)))))) @ sK10)) | ~spl0_5),
% 55.94/7.49 inference(sigma_clausification,[],[f1015])).
% 55.94/7.49 thf(f1015,plain,(
% 55.94/7.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ sK9 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ sK9 @ Y1)) | (Y0 @ Y1)))))))) | ~spl0_5),
% 55.94/7.49 inference(beta_eta_normalization,[],[f1014])).
% 55.94/7.49 thf(f1014,plain,(
% 55.94/7.49 ($false = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ sK9)) | ~spl0_5),
% 55.94/7.49 inference(sigma_clausification,[],[f295])).
% 55.94/7.49 thf(f295,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) | ~spl0_5),
% 55.94/7.49 inference(avatar_component_clause,[],[f293])).
% 55.94/7.49 thf(f4183,plain,(
% 55.94/7.49 ((~ (r3 @ sK9 @ sK12)) = $true) | ~spl0_5),
% 55.94/7.49 inference(boolean_simplification,[],[f4180])).
% 55.94/7.49 thf(f4180,plain,(
% 55.94/7.49 (((~ (r3 @ sK9 @ sK12)) | $false) = $true) | ~spl0_5),
% 55.94/7.49 inference(superposition,[],[f4156,f3059])).
% 55.94/7.49 thf(f3059,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK12 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK10 @ Y1))))))))) | ~spl0_5),
% 55.94/7.49 inference(not_proxy_clausification,[],[f1478])).
% 55.94/7.49 thf(f1478,plain,(
% 55.94/7.49 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK12 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK10 @ Y1))))))))) = $true) | ~spl0_5),
% 55.94/7.49 inference(boolean_simplification,[],[f1477])).
% 55.94/7.49 thf(f1477,plain,(
% 55.94/7.49 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK12 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK10 @ Y1))))))))) | $false) = $true) | ~spl0_5),
% 55.94/7.49 inference(boolean_simplification,[],[f1476])).
% 55.94/7.49 thf(f1476,plain,(
% 55.94/7.49 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK12 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK10 @ Y1))))))))) | (~ $true)) = $true) | ~spl0_5),
% 55.94/7.49 inference(beta_eta_normalization,[],[f1460])).
% 55.94/7.49 thf(f1460,plain,(
% 55.94/7.49 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK12 @ Y0)) | (~ ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (sK10 @ Y2))))) @ Y0)))))) | (~ $true))) | ~spl0_5),
% 55.94/7.49 inference(superposition,[],[f480,f1244])).
% 55.94/7.49 thf(f1244,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK12 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK10 @ Y1))))))) = $true) | ~spl0_5),
% 55.94/7.49 inference(boolean_simplification,[],[f1243])).
% 55.94/7.49 thf(f1243,plain,(
% 55.94/7.49 (((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK12 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK10 @ Y1))))))) | $false) = $true) | ~spl0_5),
% 55.94/7.49 inference(boolean_simplification,[],[f1242])).
% 55.94/7.49 thf(f1242,plain,(
% 55.94/7.49 ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK12 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK10 @ Y1))))))) | (~ $true))) | ~spl0_5),
% 55.94/7.49 inference(beta_eta_normalization,[],[f1235])).
% 55.94/7.49 thf(f1235,plain,(
% 55.94/7.49 (((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK12 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | ((^[Y2 : $i]: (sK10 @ Y2)) @ Y1))))))) | (~ $true)) = $true) | ~spl0_5),
% 55.94/7.49 inference(superposition,[],[f1229,f1085])).
% 55.94/7.49 thf(f1085,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK12 @ Y0)) | (sK10 @ Y0)))) = $true) | ~spl0_5),
% 55.94/7.49 inference(not_proxy_clausification,[],[f1084])).
% 55.94/7.49 thf(f1084,plain,(
% 55.94/7.49 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK12 @ Y0)) | (sK10 @ Y0)))))) | ~spl0_5),
% 55.94/7.49 inference(boolean_simplification,[],[f1083])).
% 55.94/7.49 thf(f1083,plain,(
% 55.94/7.49 ($false = ($false | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK12 @ Y0)) | (sK10 @ Y0))))))) | ~spl0_5),
% 55.94/7.49 inference(backward_demodulation,[],[f1059,f1082])).
% 55.94/7.49 thf(f1229,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ X1 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (X2 @ Y1))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ X1 @ Y0)) | (X2 @ Y0)))))) = $true)) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f1228])).
% 55.94/7.49 thf(f1228,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (Y0 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (Y0 @ Y1))))))) @ X2) = $true)) )),
% 55.94/7.49 inference(pi_clausification,[],[f1223])).
% 55.94/7.49 thf(f1223,plain,(
% 55.94/7.49 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (Y0 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (Y0 @ Y1)))))))))) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f1222])).
% 55.94/7.49 thf(f1222,plain,(
% 55.94/7.49 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) @ X1) = $true)) )),
% 55.94/7.49 inference(pi_clausification,[],[f249])).
% 55.94/7.49 thf(f249,plain,(
% 55.94/7.49 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))),
% 55.94/7.49 inference(beta_eta_normalization,[],[f217])).
% 55.94/7.49 thf(f217,plain,(
% 55.94/7.49 (((^[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]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ Y0)))))) = $true)),
% 55.94/7.49 inference(definition_unfolding,[],[f172,f189,f170,f201,f191,f191,f191])).
% 55.94/7.49 thf(f172,plain,(
% 55.94/7.49 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r1 @ Y0) @ (mbox @ r1 @ (mbox @ r1 @ Y0)))))) = $true)),
% 55.94/7.49 inference(cnf_transformation,[],[f64])).
% 55.94/7.49 thf(f64,plain,(
% 55.94/7.49 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r1 @ Y0) @ (mbox @ r1 @ (mbox @ r1 @ Y0)))))) = $true)),
% 55.94/7.49 inference(fool_elimination,[],[f63])).
% 55.94/7.49 thf(f63,plain,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ r1 @ X0) @ (mbox @ r1 @ (mbox @ r1 @ X0))))))),
% 55.94/7.49 inference(rectify,[],[f38])).
% 55.94/7.49 thf(f38,axiom,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ r1 @ X3) @ (mbox @ r1 @ (mbox @ r1 @ X3))))))),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4s_for_r1_r1)).
% 55.94/7.49 thf(f4156,plain,(
% 55.94/7.49 ( ! [X1 : $i] : ((((~ (r3 @ sK9 @ X1)) | (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK10 @ Y1))))))))) = $true)) ) | ~spl0_5),
% 55.94/7.49 inference(beta_eta_normalization,[],[f4138])).
% 55.94/7.49 thf(f4138,plain,(
% 55.94/7.49 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (r3 @ sK9 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (sK10 @ Y2)))))))))) @ X1) = $true)) ) | ~spl0_5),
% 55.94/7.49 inference(pi_clausification,[],[f1603])).
% 55.94/7.49 thf(f1603,plain,(
% 55.94/7.49 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK9 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (sK10 @ Y2)))))))))))) | ~spl0_5),
% 55.94/7.49 inference(boolean_simplification,[],[f1602])).
% 55.94/7.49 thf(f1602,plain,(
% 55.94/7.49 ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK9 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (sK10 @ Y2))))))))))) | $false)) | ~spl0_5),
% 55.94/7.49 inference(boolean_simplification,[],[f1601])).
% 55.94/7.49 thf(f1601,plain,(
% 55.94/7.49 ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK9 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (sK10 @ Y2))))))))))) | (~ $true))) | ~spl0_5),
% 55.94/7.49 inference(beta_eta_normalization,[],[f1578])).
% 55.94/7.49 thf(f1578,plain,(
% 55.94/7.49 (((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK9 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | ((^[Y2 : $i]: (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (sK10 @ Y3)))))) @ Y1))))))) | (~ $true)) = $true) | ~spl0_5),
% 55.94/7.49 inference(superposition,[],[f1251,f1040])).
% 55.94/7.49 thf(f1040,plain,(
% 55.94/7.49 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK9 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK10 @ Y1))))))))) | ~spl0_5),
% 55.94/7.49 inference(boolean_simplification,[],[f1039])).
% 55.94/7.49 thf(f1039,plain,(
% 55.94/7.49 (((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK9 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (sK10 @ Y1)))))))) | $false) = $true) | ~spl0_5),
% 55.94/7.49 inference(beta_eta_normalization,[],[f1026])).
% 55.94/7.49 thf(f1026,plain,(
% 55.94/7.49 (((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK9 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | ((^[Y2 : $i]: (sK10 @ Y2)) @ Y1)))))))) | $false) = $true) | ~spl0_5),
% 55.94/7.49 inference(superposition,[],[f832,f1018])).
% 55.94/7.49 thf(f832,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ Y0 @ Y1)) | (X2 @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ X1 @ Y0)) | (X2 @ Y0))))) = $true)) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f831])).
% 55.94/7.49 thf(f831,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (Y0 @ Y1)))))) @ X2) = $true)) )),
% 55.94/7.49 inference(pi_clausification,[],[f824])).
% 55.94/7.49 thf(f824,plain,(
% 55.94/7.49 ( ! [X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (Y0 @ Y1))))))) = $true)) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f823])).
% 55.94/7.49 thf(f823,plain,(
% 55.94/7.49 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ X1))) )),
% 55.94/7.49 inference(pi_clausification,[],[f237])).
% 55.94/7.49 thf(f237,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) = $true)),
% 55.94/7.49 inference(boolean_simplification,[],[f236])).
% 55.94/7.49 thf(f236,plain,(
% 55.94/7.49 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))))),
% 55.94/7.49 inference(beta_eta_normalization,[],[f220])).
% 55.94/7.49 thf(f220,plain,(
% 55.94/7.49 (((^[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 > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ Y0))))))) = $true)),
% 55.94/7.49 inference(definition_unfolding,[],[f177,f189,f170,f201,f154,f191,f191,f154,f191])).
% 55.94/7.49 thf(f177,plain,(
% 55.94/7.49 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r1 @ Y0)) @ (mbox @ r1 @ (mnot @ (mbox @ r1 @ Y0))))))) = $true)),
% 55.94/7.49 inference(cnf_transformation,[],[f109])).
% 55.94/7.49 thf(f109,plain,(
% 55.94/7.49 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r1 @ Y0)) @ (mbox @ r1 @ (mnot @ (mbox @ r1 @ Y0))))))) = $true)),
% 55.94/7.49 inference(fool_elimination,[],[f108])).
% 55.94/7.49 thf(f108,plain,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mnot @ (mbox @ r1 @ X0)) @ (mbox @ r1 @ (mnot @ (mbox @ r1 @ X0)))))))),
% 55.94/7.49 inference(rectify,[],[f47])).
% 55.94/7.49 thf(f47,axiom,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r1 @ X3)) @ (mbox @ r1 @ (mnot @ (mbox @ r1 @ X3)))))))),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5_for_r1)).
% 55.94/7.49 thf(f1003,plain,(
% 55.94/7.49 ~spl0_4),
% 55.94/7.49 inference(avatar_contradiction_clause,[],[f1002])).
% 55.94/7.49 thf(f1002,plain,(
% 55.94/7.49 $false | ~spl0_4),
% 55.94/7.49 inference(trivial_inequality_removal,[],[f1001])).
% 55.94/7.49 thf(f1001,plain,(
% 55.94/7.49 ($false = $true) | ~spl0_4),
% 55.94/7.49 inference(boolean_simplification,[],[f1000])).
% 55.94/7.49 thf(f1000,plain,(
% 55.94/7.49 ($true = (~ $true)) | ~spl0_4),
% 55.94/7.49 inference(backward_demodulation,[],[f328,f995])).
% 55.94/7.49 thf(f995,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ Y0 @ Y1)) | (sK3 @ Y1)))))))) = $true) | ~spl0_4),
% 55.94/7.49 inference(boolean_simplification,[],[f994])).
% 55.94/7.49 thf(f994,plain,(
% 55.94/7.49 (((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ Y0 @ Y1)) | (sK3 @ Y1)))))))) | $false) = $true) | ~spl0_4),
% 55.94/7.49 inference(beta_eta_normalization,[],[f982])).
% 55.94/7.49 thf(f982,plain,(
% 55.94/7.49 (((!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ Y0 @ Y1)) | ((^[Y2 : $i]: (sK3 @ Y2)) @ Y1)))))))) | $false) = $true) | ~spl0_4),
% 55.94/7.49 inference(superposition,[],[f975,f312])).
% 55.94/7.49 thf(f312,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK2 @ Y0)) | (sK3 @ Y0))))) | ~spl0_4),
% 55.94/7.49 inference(binary_proxy_clausification,[],[f310])).
% 55.94/7.49 thf(f310,plain,(
% 55.94/7.49 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ Y0 @ Y1)) | (sK3 @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK2 @ Y0)) | (sK3 @ Y0)))))) | ~spl0_4),
% 55.94/7.49 inference(beta_eta_normalization,[],[f309])).
% 55.94/7.49 thf(f309,plain,(
% 55.94/7.49 ($false = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ sK2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ sK2 @ Y1)) | (Y0 @ Y1)))))) @ sK3)) | ~spl0_4),
% 55.94/7.49 inference(sigma_clausification,[],[f306])).
% 55.94/7.49 thf(f306,plain,(
% 55.94/7.49 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ sK2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ sK2 @ Y1)) | (Y0 @ Y1)))))))) | ~spl0_4),
% 55.94/7.49 inference(beta_eta_normalization,[],[f305])).
% 55.94/7.49 thf(f305,plain,(
% 55.94/7.49 ($false = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ sK2)) | ~spl0_4),
% 55.94/7.49 inference(sigma_clausification,[],[f286])).
% 55.94/7.49 thf(f286,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) | ~spl0_4),
% 55.94/7.49 inference(avatar_component_clause,[],[f284])).
% 55.94/7.49 thf(f284,plain,(
% 55.94/7.49 spl0_4 <=> ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))),
% 55.94/7.49 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 55.94/7.49 thf(f328,plain,(
% 55.94/7.49 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ Y0 @ Y1)) | (sK3 @ Y1)))))))))) | ~spl0_4),
% 55.94/7.49 inference(boolean_simplification,[],[f327])).
% 55.94/7.49 thf(f327,plain,(
% 55.94/7.49 ($true = ($false | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ Y0 @ Y1)) | (sK3 @ Y1))))))))))) | ~spl0_4),
% 55.94/7.49 inference(beta_eta_normalization,[],[f324])).
% 55.94/7.49 thf(f324,plain,(
% 55.94/7.49 (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK2 @ Y0)) | ((^[Y1 : $i]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y1 @ Y2)) | (sK3 @ Y2)))))) @ Y0)))))) = $true) | ~spl0_4),
% 55.94/7.49 inference(superposition,[],[f308,f315])).
% 55.94/7.49 thf(f315,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ Y0 @ Y1)) | (sK3 @ Y1))))))))) | ~spl0_4),
% 55.94/7.49 inference(boolean_simplification,[],[f314])).
% 55.94/7.49 thf(f314,plain,(
% 55.94/7.49 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ Y0 @ Y1)) | (sK3 @ Y1)))))))) | $false)) | ~spl0_4),
% 55.94/7.49 inference(backward_demodulation,[],[f310,f312])).
% 55.94/7.49 thf(f308,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (r1 @ X1 @ Y0)) | (X2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ X1 @ Y0)) | (X2 @ Y0)))))) = $true)) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f307])).
% 55.94/7.49 thf(f307,plain,(
% 55.94/7.49 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (Y0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ X1 @ Y1)) | (Y0 @ Y1))))))) @ X2) = $true)) )),
% 55.94/7.49 inference(pi_clausification,[],[f304])).
% 55.94/7.49 thf(f304,plain,(
% 55.94/7.49 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r1 @ X1 @ Y1)) | (Y0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ X1 @ Y1)) | (Y0 @ Y1)))))))))) )),
% 55.94/7.49 inference(beta_eta_normalization,[],[f303])).
% 55.94/7.49 thf(f303,plain,(
% 55.94/7.49 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) @ X1) = $true)) )),
% 55.94/7.49 inference(pi_clausification,[],[f251])).
% 55.94/7.49 thf(f251,plain,(
% 55.94/7.49 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) = $true)),
% 55.94/7.49 inference(beta_eta_normalization,[],[f209])).
% 55.94/7.49 thf(f209,plain,(
% 55.94/7.49 (((^[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]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ Y0))))) = $true)),
% 55.94/7.49 inference(definition_unfolding,[],[f152,f189,f170,f201,f191,f191])).
% 55.94/7.49 thf(f152,plain,(
% 55.94/7.49 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r3 @ Y0) @ (mbox @ r1 @ Y0))))) = $true)),
% 55.94/7.49 inference(cnf_transformation,[],[f68])).
% 55.94/7.49 thf(f68,plain,(
% 55.94/7.49 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r3 @ Y0) @ (mbox @ r1 @ Y0))))) = $true)),
% 55.94/7.49 inference(fool_elimination,[],[f67])).
% 55.94/7.49 thf(f67,plain,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ r3 @ X0) @ (mbox @ r1 @ X0)))))),
% 55.94/7.49 inference(rectify,[],[f36])).
% 55.94/7.49 thf(f36,axiom,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ r3 @ X3) @ (mbox @ r1 @ X3)))))),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_for_r3_r1)).
% 55.94/7.49 thf(f300,plain,(
% 55.94/7.49 spl0_5 | spl0_6 | ~spl0_3),
% 55.94/7.49 inference(avatar_split_clause,[],[f291,f280,f297,f293])).
% 55.94/7.49 thf(f280,plain,(
% 55.94/7.49 spl0_3 <=> ($false = ((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))),
% 55.94/7.49 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 55.94/7.49 thf(f291,plain,(
% 55.94/7.49 ($false = (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) | ~spl0_3),
% 55.94/7.49 inference(binary_proxy_clausification,[],[f282])).
% 55.94/7.49 thf(f282,plain,(
% 55.94/7.49 ($false = ((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))) | ~spl0_3),
% 55.94/7.49 inference(avatar_component_clause,[],[f280])).
% 55.94/7.49 thf(f287,plain,(
% 55.94/7.49 spl0_3 | spl0_4 | ~spl0_2),
% 55.94/7.49 inference(avatar_split_clause,[],[f278,f270,f284,f280])).
% 55.94/7.49 thf(f270,plain,(
% 55.94/7.49 spl0_2 <=> ($false = (((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))),
% 55.94/7.49 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 55.94/7.49 thf(f278,plain,(
% 55.94/7.49 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) | ($false = ((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))) | ~spl0_2),
% 55.94/7.49 inference(binary_proxy_clausification,[],[f272])).
% 55.94/7.49 thf(f272,plain,(
% 55.94/7.49 ($false = (((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))) | ~spl0_2),
% 55.94/7.49 inference(avatar_component_clause,[],[f270])).
% 55.94/7.49 thf(f273,plain,(
% 55.94/7.49 spl0_1 | spl0_2),
% 55.94/7.49 inference(avatar_split_clause,[],[f264,f270,f266])).
% 55.94/7.49 thf(f264,plain,(
% 55.94/7.49 ($false = (((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))),
% 55.94/7.49 inference(binary_proxy_clausification,[],[f259])).
% 55.94/7.49 thf(f259,plain,(
% 55.94/7.49 ($false = ((((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))),
% 55.94/7.49 inference(not_proxy_clausification,[],[f258])).
% 55.94/7.49 thf(f258,plain,(
% 55.94/7.49 ($true = (~ ((((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))))),
% 55.94/7.49 inference(boolean_simplification,[],[f257])).
% 55.94/7.49 thf(f257,plain,(
% 55.94/7.49 ($true = (~ (((((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & $true) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))))),
% 55.94/7.49 inference(backward_demodulation,[],[f256,f235])).
% 55.94/7.49 thf(f256,plain,(
% 55.94/7.49 ($true = (~ (((((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))))),
% 55.94/7.49 inference(boolean_simplification,[],[f255])).
% 55.94/7.49 thf(f255,plain,(
% 55.94/7.49 ((~ ((((((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & $true) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))) = $true)),
% 55.94/7.49 inference(backward_demodulation,[],[f254,f237])).
% 55.94/7.49 thf(f254,plain,(
% 55.94/7.49 ((~ ((((((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))) = $true)),
% 55.94/7.49 inference(boolean_simplification,[],[f253])).
% 55.94/7.49 thf(f253,plain,(
% 55.94/7.49 ($true = (~ (((((((($true & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))))),
% 55.94/7.49 inference(backward_demodulation,[],[f246,f241])).
% 55.94/7.49 thf(f246,plain,(
% 55.94/7.49 ((~ (((((((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))) = $true)),
% 55.94/7.49 inference(boolean_simplification,[],[f245])).
% 55.94/7.49 thf(f245,plain,(
% 55.94/7.49 ((~ (((((((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))) = $true)),
% 55.94/7.49 inference(boolean_simplification,[],[f244])).
% 55.94/7.49 thf(f244,plain,(
% 55.94/7.49 ((~ (((((((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))) = $true)),
% 55.94/7.49 inference(boolean_simplification,[],[f243])).
% 55.94/7.49 thf(f243,plain,(
% 55.94/7.49 ((~ (((((((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r2 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r1 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r1 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (r3 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))))) = $true)),
% 55.94/7.49 inference(beta_eta_normalization,[],[f222])).
% 55.94/7.49 thf(f222,plain,(
% 55.94/7.49 ((~ ((((((((((^[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 > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ Y0))))))) & ((^[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 > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ Y0)))))))) & ((^[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 > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ Y0)))))))) & ((^[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 > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ Y0)))))))) & ((^[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 > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ Y0)))))))) & ((^[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 > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ Y0)))))))) & ((^[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 > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ Y0)))))))) & ((^[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 > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r1 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ Y0)))))))) & ((^[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 > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ Y0))))))))) = $true)),
% 55.94/7.49 inference(definition_unfolding,[],[f179,f189,f170,f201,f154,f191,f191,f154,f191,f189,f170,f201,f154,f191,f191,f154,f191,f189,f170,f201,f154,f191,f191,f154,f191,f189,f170,f201,f154,f191,f191,f154,f191,f189,f170,f201,f154,f191,f191,f154,f191,f189,f170,f201,f154,f191,f191,f154,f191,f189,f170,f201,f154,f191,f191,f154,f191,f189,f170,f201,f154,f191,f191,f154,f191,f189,f170,f201,f154,f191,f191,f154,f191])).
% 55.94/7.49 thf(f179,plain,(
% 55.94/7.49 ((~ (((((((((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r3 @ Y0)) @ (mbox @ r3 @ (mnot @ (mbox @ r3 @ Y0))))))) & (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r1 @ Y0)) @ (mbox @ r2 @ (mnot @ (mbox @ r1 @ Y0)))))))) & (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r2 @ Y0)) @ (mbox @ r3 @ (mnot @ (mbox @ r2 @ Y0)))))))) & (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r2 @ Y0)) @ (mbox @ r2 @ (mnot @ (mbox @ r2 @ Y0)))))))) & (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r2 @ Y0)) @ (mbox @ r1 @ (mnot @ (mbox @ r2 @ Y0)))))))) & (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r1 @ Y0)) @ (mbox @ r1 @ (mnot @ (mbox @ r1 @ Y0)))))))) & (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r1 @ Y0)) @ (mbox @ r3 @ (mnot @ (mbox @ r1 @ Y0)))))))) & (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r3 @ Y0)) @ (mbox @ r1 @ (mnot @ (mbox @ r3 @ Y0)))))))) & (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r3 @ Y0)) @ (mbox @ r2 @ (mnot @ (mbox @ r3 @ Y0))))))))) = $true)),
% 55.94/7.49 inference(cnf_transformation,[],[f138])).
% 55.94/7.49 thf(f138,plain,(
% 55.94/7.49 ((~ (((((((((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r3 @ Y0)) @ (mbox @ r3 @ (mnot @ (mbox @ r3 @ Y0))))))) & (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r1 @ Y0)) @ (mbox @ r2 @ (mnot @ (mbox @ r1 @ Y0)))))))) & (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r2 @ Y0)) @ (mbox @ r3 @ (mnot @ (mbox @ r2 @ Y0)))))))) & (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r2 @ Y0)) @ (mbox @ r2 @ (mnot @ (mbox @ r2 @ Y0)))))))) & (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r2 @ Y0)) @ (mbox @ r1 @ (mnot @ (mbox @ r2 @ Y0)))))))) & (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r1 @ Y0)) @ (mbox @ r1 @ (mnot @ (mbox @ r1 @ Y0)))))))) & (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r1 @ Y0)) @ (mbox @ r3 @ (mnot @ (mbox @ r1 @ Y0)))))))) & (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r3 @ Y0)) @ (mbox @ r1 @ (mnot @ (mbox @ r3 @ Y0)))))))) & (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ r3 @ Y0)) @ (mbox @ r2 @ (mnot @ (mbox @ r3 @ Y0))))))))) = $true)),
% 55.94/7.49 inference(fool_elimination,[],[f137])).
% 55.94/7.49 thf(f137,plain,(
% 55.94/7.49 ~((mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mnot @ (mbox @ r3 @ X0)) @ (mbox @ r2 @ (mnot @ (mbox @ r3 @ X0))))))) & (mvalid @ (mforall_prop @ (^[X1 : $i > $o] : (mimplies @ (mnot @ (mbox @ r3 @ X1)) @ (mbox @ r1 @ (mnot @ (mbox @ r3 @ X1))))))) & (mvalid @ (mforall_prop @ (^[X2 : $i > $o] : (mimplies @ (mnot @ (mbox @ r1 @ X2)) @ (mbox @ r3 @ (mnot @ (mbox @ r1 @ X2))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r1 @ X3)) @ (mbox @ r1 @ (mnot @ (mbox @ r1 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X4 : $i > $o] : (mimplies @ (mnot @ (mbox @ r2 @ X4)) @ (mbox @ r1 @ (mnot @ (mbox @ r2 @ X4))))))) & (mvalid @ (mforall_prop @ (^[X5 : $i > $o] : (mimplies @ (mnot @ (mbox @ r2 @ X5)) @ (mbox @ r2 @ (mnot @ (mbox @ r2 @ X5))))))) & (mvalid @ (mforall_prop @ (^[X6 : $i > $o] : (mimplies @ (mnot @ (mbox @ r2 @ X6)) @ (mbox @ r3 @ (mnot @ (mbox @ r2 @ X6))))))) & (mvalid @ (mforall_prop @ (^[X7 : $i > $o] : (mimplies @ (mnot @ (mbox @ r1 @ X7)) @ (mbox @ r2 @ (mnot @ (mbox @ r1 @ X7))))))) & (mvalid @ (mforall_prop @ (^[X8 : $i > $o] : (mimplies @ (mnot @ (mbox @ r3 @ X8)) @ (mbox @ r3 @ (mnot @ (mbox @ r3 @ X8))))))))),
% 55.94/7.49 inference(rectify,[],[f51])).
% 55.94/7.49 thf(f51,negated_conjecture,(
% 55.94/7.49 ~((mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r3 @ X3)) @ (mbox @ r2 @ (mnot @ (mbox @ r3 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r3 @ X3)) @ (mbox @ r1 @ (mnot @ (mbox @ r3 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r1 @ X3)) @ (mbox @ r3 @ (mnot @ (mbox @ r1 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r1 @ X3)) @ (mbox @ r1 @ (mnot @ (mbox @ r1 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r2 @ X3)) @ (mbox @ r1 @ (mnot @ (mbox @ r2 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r2 @ X3)) @ (mbox @ r2 @ (mnot @ (mbox @ r2 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r2 @ X3)) @ (mbox @ r3 @ (mnot @ (mbox @ r2 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r1 @ X3)) @ (mbox @ r2 @ (mnot @ (mbox @ r1 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r3 @ X3)) @ (mbox @ r3 @ (mnot @ (mbox @ r3 @ X3))))))))),
% 55.94/7.49 inference(negated_conjecture,[],[f50])).
% 55.94/7.49 thf(f50,conjecture,(
% 55.94/7.49 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r3 @ X3)) @ (mbox @ r2 @ (mnot @ (mbox @ r3 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r3 @ X3)) @ (mbox @ r1 @ (mnot @ (mbox @ r3 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r1 @ X3)) @ (mbox @ r3 @ (mnot @ (mbox @ r1 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r1 @ X3)) @ (mbox @ r1 @ (mnot @ (mbox @ r1 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r2 @ X3)) @ (mbox @ r1 @ (mnot @ (mbox @ r2 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r2 @ X3)) @ (mbox @ r2 @ (mnot @ (mbox @ r2 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r2 @ X3)) @ (mbox @ r3 @ (mnot @ (mbox @ r2 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r1 @ X3)) @ (mbox @ r2 @ (mnot @ (mbox @ r1 @ X3))))))) & (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ r3 @ X3)) @ (mbox @ r3 @ (mnot @ (mbox @ r3 @ X3)))))))),
% 55.94/7.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 55.94/7.49 % SZS output end Proof for theBenchmark
% 55.94/7.49 % (31082)------------------------------
% 55.94/7.49 % (31082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 55.94/7.49 % (31082)Termination reason: Refutation
% 55.94/7.49
% 55.94/7.49 % (31082)Memory used [KB]: 10490
% 55.94/7.49 % (31082)Time elapsed: 1.113 s
% 55.94/7.49 % (31082)Instructions burned: 2564 (million)
% 55.94/7.49 % (31082)------------------------------
% 55.94/7.49 % (31082)------------------------------
% 55.94/7.49 % (30786)Success in time 7.116 s
% 55.94/7.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------