TSTP Solution File: GEG009^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEG009^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 : Mon May 20 19:57:07 EDT 2024
% Result : Theorem 1.56s 0.58s
% Output : Refutation 1.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEG009^1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 21:55:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38 % (29818)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (29820)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.38 % (29819)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (29816)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.38 % (29821)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.38 % (29822)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.38 % (29818)Instruction limit reached!
% 0.14/0.38 % (29818)------------------------------
% 0.14/0.38 % (29818)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (29818)Termination reason: Unknown
% 0.14/0.38 % (29818)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (29819)Instruction limit reached!
% 0.14/0.38 % (29819)------------------------------
% 0.14/0.38 % (29819)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (29819)Termination reason: Unknown
% 0.14/0.38 % (29819)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (29819)Memory used [KB]: 1023
% 0.14/0.38 % (29819)Time elapsed: 0.003 s
% 0.14/0.38 % (29819)Instructions burned: 2 (million)
% 0.14/0.38 % (29819)------------------------------
% 0.14/0.38 % (29819)------------------------------
% 0.14/0.38 % (29818)Memory used [KB]: 1023
% 0.14/0.38 % (29818)Time elapsed: 0.003 s
% 0.14/0.38 % (29818)Instructions burned: 2 (million)
% 0.14/0.38 % (29818)------------------------------
% 0.14/0.38 % (29818)------------------------------
% 0.14/0.38 % (29822)Instruction limit reached!
% 0.14/0.38 % (29822)------------------------------
% 0.14/0.38 % (29822)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (29822)Termination reason: Unknown
% 0.14/0.38 % (29822)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (29822)Memory used [KB]: 1023
% 0.14/0.38 % (29822)Time elapsed: 0.003 s
% 0.14/0.38 % (29822)Instructions burned: 3 (million)
% 0.14/0.38 % (29822)------------------------------
% 0.14/0.38 % (29822)------------------------------
% 0.14/0.38 % (29817)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.38 % (29815)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.38 % (29816)Instruction limit reached!
% 0.14/0.38 % (29816)------------------------------
% 0.14/0.38 % (29816)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (29816)Termination reason: Unknown
% 0.14/0.38 % (29816)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (29816)Memory used [KB]: 1151
% 0.14/0.38 % (29816)Time elapsed: 0.004 s
% 0.14/0.38 % (29816)Instructions burned: 5 (million)
% 0.14/0.38 % (29816)------------------------------
% 0.14/0.38 % (29816)------------------------------
% 0.14/0.38 % (29820)Refutation not found, incomplete strategy
% 0.14/0.38 % (29820)------------------------------
% 0.14/0.38 % (29820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (29820)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (29820)Memory used [KB]: 5628
% 0.14/0.38 % (29820)Time elapsed: 0.010 s
% 0.14/0.38 % (29820)Instructions burned: 14 (million)
% 0.14/0.38 % (29820)------------------------------
% 0.14/0.38 % (29820)------------------------------
% 0.14/0.39 % (29821)Instruction limit reached!
% 0.14/0.39 % (29821)------------------------------
% 0.14/0.39 % (29821)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (29821)Termination reason: Unknown
% 0.14/0.39 % (29821)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (29821)Memory used [KB]: 5628
% 0.14/0.39 % (29821)Time elapsed: 0.012 s
% 0.14/0.39 % (29821)Instructions burned: 19 (million)
% 0.14/0.39 % (29821)------------------------------
% 0.14/0.39 % (29821)------------------------------
% 0.21/0.39 % (29824)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.39 % (29823)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)
% 0.21/0.39 % (29825)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)
% 0.21/0.39 % (29817)Instruction limit reached!
% 0.21/0.39 % (29817)------------------------------
% 0.21/0.39 % (29817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (29817)Termination reason: Unknown
% 0.21/0.39 % (29817)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (29817)Memory used [KB]: 5756
% 0.21/0.39 % (29817)Time elapsed: 0.017 s
% 0.21/0.39 % (29817)Instructions burned: 27 (million)
% 0.21/0.39 % (29817)------------------------------
% 0.21/0.39 % (29817)------------------------------
% 0.21/0.39 % (29825)Instruction limit reached!
% 0.21/0.39 % (29825)------------------------------
% 0.21/0.39 % (29825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (29825)Termination reason: Unknown
% 0.21/0.39 % (29825)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (29825)Memory used [KB]: 1023
% 0.21/0.39 % (29825)Time elapsed: 0.003 s
% 0.21/0.39 % (29825)Instructions burned: 4 (million)
% 0.21/0.39 % (29825)------------------------------
% 0.21/0.39 % (29825)------------------------------
% 0.21/0.39 % (29826)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.21/0.40 % (29824)Instruction limit reached!
% 0.21/0.40 % (29824)------------------------------
% 0.21/0.40 % (29824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (29824)Termination reason: Unknown
% 0.21/0.40 % (29824)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (29824)Memory used [KB]: 1151
% 0.21/0.40 % (29824)Time elapsed: 0.009 s
% 0.21/0.40 % (29824)Instructions burned: 15 (million)
% 0.21/0.40 % (29824)------------------------------
% 0.21/0.40 % (29824)------------------------------
% 0.21/0.40 % (29827)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.40 % (29828)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.40 % (29827)Instruction limit reached!
% 0.21/0.40 % (29827)------------------------------
% 0.21/0.40 % (29827)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (29827)Termination reason: Unknown
% 0.21/0.40 % (29827)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (29827)Memory used [KB]: 1151
% 0.21/0.40 % (29827)Time elapsed: 0.005 s
% 0.21/0.40 % (29827)Instructions burned: 7 (million)
% 0.21/0.40 % (29827)------------------------------
% 0.21/0.40 % (29827)------------------------------
% 0.21/0.41 % (29830)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (29829)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (29830)Instruction limit reached!
% 0.21/0.41 % (29830)------------------------------
% 0.21/0.41 % (29830)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (29830)Termination reason: Unknown
% 0.21/0.41 % (29830)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (29830)Memory used [KB]: 1023
% 0.21/0.41 % (29830)Time elapsed: 0.003 s
% 0.21/0.41 % (29830)Instructions burned: 3 (million)
% 0.21/0.41 % (29830)------------------------------
% 0.21/0.41 % (29830)------------------------------
% 0.21/0.41 % (29829)Instruction limit reached!
% 0.21/0.41 % (29829)------------------------------
% 0.21/0.41 % (29829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (29829)Termination reason: Unknown
% 0.21/0.41 % (29829)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (29829)Memory used [KB]: 1023
% 0.21/0.41 % (29829)Time elapsed: 0.004 s
% 0.21/0.41 % (29829)Instructions burned: 4 (million)
% 0.21/0.41 % (29829)------------------------------
% 0.21/0.41 % (29829)------------------------------
% 0.21/0.41 % (29823)Instruction limit reached!
% 0.21/0.41 % (29823)------------------------------
% 0.21/0.41 % (29823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (29823)Termination reason: Unknown
% 0.21/0.41 % (29823)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (29823)Memory used [KB]: 5884
% 0.21/0.41 % (29823)Time elapsed: 0.020 s
% 0.21/0.41 % (29823)Instructions burned: 38 (million)
% 0.21/0.41 % (29823)------------------------------
% 0.21/0.41 % (29823)------------------------------
% 0.21/0.41 % (29828)Instruction limit reached!
% 0.21/0.41 % (29828)------------------------------
% 0.21/0.41 % (29828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (29828)Termination reason: Unknown
% 0.21/0.41 % (29828)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (29828)Memory used [KB]: 5628
% 0.21/0.41 % (29828)Time elapsed: 0.011 s
% 0.21/0.41 % (29828)Instructions burned: 17 (million)
% 0.21/0.41 % (29828)------------------------------
% 0.21/0.41 % (29828)------------------------------
% 0.21/0.41 % (29831)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.42 % (29831)Instruction limit reached!
% 0.21/0.42 % (29831)------------------------------
% 0.21/0.42 % (29831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (29831)Termination reason: Unknown
% 0.21/0.42 % (29831)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (29831)Memory used [KB]: 1151
% 0.21/0.42 % (29831)Time elapsed: 0.006 s
% 0.21/0.42 % (29831)Instructions burned: 8 (million)
% 0.21/0.42 % (29831)------------------------------
% 0.21/0.42 % (29831)------------------------------
% 0.21/0.42 % (29832)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (29832)Instruction limit reached!
% 0.21/0.42 % (29832)------------------------------
% 0.21/0.42 % (29832)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (29832)Termination reason: Unknown
% 0.21/0.42 % (29832)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (29832)Memory used [KB]: 1151
% 0.21/0.42 % (29832)Time elapsed: 0.004 s
% 0.21/0.42 % (29832)Instructions burned: 4 (million)
% 0.21/0.42 % (29832)------------------------------
% 0.21/0.42 % (29832)------------------------------
% 0.21/0.42 % (29835)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.42 % (29834)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.42 % (29833)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.42 % (29833)Instruction limit reached!
% 0.21/0.42 % (29833)------------------------------
% 0.21/0.42 % (29833)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (29833)Termination reason: Unknown
% 0.21/0.42 % (29833)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (29833)Memory used [KB]: 1023
% 0.21/0.42 % (29836)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.42 % (29833)Time elapsed: 0.003 s
% 0.21/0.42 % (29833)Instructions burned: 4 (million)
% 0.21/0.42 % (29833)------------------------------
% 0.21/0.42 % (29833)------------------------------
% 0.21/0.43 % (29836)Instruction limit reached!
% 0.21/0.43 % (29836)------------------------------
% 0.21/0.43 % (29836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (29836)Termination reason: Unknown
% 0.21/0.43 % (29836)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (29836)Memory used [KB]: 1151
% 0.21/0.43 % (29836)Time elapsed: 0.005 s
% 0.21/0.43 % (29836)Instructions burned: 7 (million)
% 0.21/0.43 % (29836)------------------------------
% 0.21/0.43 % (29836)------------------------------
% 0.21/0.43 % (29834)Instruction limit reached!
% 0.21/0.43 % (29834)------------------------------
% 0.21/0.43 % (29834)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (29834)Termination reason: Unknown
% 0.21/0.43 % (29834)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (29834)Memory used [KB]: 5756
% 0.21/0.43 % (29834)Time elapsed: 0.012 s
% 0.21/0.43 % (29834)Instructions burned: 18 (million)
% 0.21/0.43 % (29834)------------------------------
% 0.21/0.43 % (29834)------------------------------
% 0.21/0.43 % (29837)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.21/0.44 % (29838)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.44 % (29839)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.44 % (29837)Refutation not found, incomplete strategy
% 0.21/0.44 % (29837)------------------------------
% 0.21/0.44 % (29837)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (29837)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 % (29837)Memory used [KB]: 5628
% 0.21/0.44 % (29837)Time elapsed: 0.009 s
% 0.21/0.44 % (29837)Instructions burned: 13 (million)
% 0.21/0.44 % (29837)------------------------------
% 0.21/0.44 % (29837)------------------------------
% 0.21/0.44 % (29839)Instruction limit reached!
% 0.21/0.44 % (29839)------------------------------
% 0.21/0.44 % (29839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (29840)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.44 % (29839)Termination reason: Unknown
% 0.21/0.44 % (29839)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (29839)Memory used [KB]: 1151
% 0.21/0.44 % (29839)Time elapsed: 0.005 s
% 0.21/0.44 % (29839)Instructions burned: 6 (million)
% 0.21/0.44 % (29839)------------------------------
% 0.21/0.44 % (29839)------------------------------
% 0.21/0.45 % (29840)Instruction limit reached!
% 0.21/0.45 % (29840)------------------------------
% 0.21/0.45 % (29840)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (29840)Termination reason: Unknown
% 0.21/0.45 % (29840)Termination phase: Property scanning
% 0.21/0.45
% 0.21/0.45 % (29840)Memory used [KB]: 1151
% 0.21/0.45 % (29840)Time elapsed: 0.005 s
% 0.21/0.45 % (29840)Instructions burned: 7 (million)
% 0.21/0.45 % (29840)------------------------------
% 0.21/0.45 % (29840)------------------------------
% 0.21/0.45 % (29838)Instruction limit reached!
% 0.21/0.45 % (29838)------------------------------
% 0.21/0.45 % (29838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (29838)Termination reason: Unknown
% 0.21/0.45 % (29838)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (29838)Memory used [KB]: 5756
% 0.21/0.45 % (29838)Time elapsed: 0.014 s
% 0.21/0.45 % (29838)Instructions burned: 21 (million)
% 0.21/0.45 % (29838)------------------------------
% 0.21/0.45 % (29838)------------------------------
% 0.21/0.45 % (29841)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.46 % (29842)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.21/0.46 % (29843)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.21/0.46 % (29844)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.21/0.46 % (29845)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.21/0.47 % (29843)Refutation not found, incomplete strategy
% 0.21/0.47 % (29843)------------------------------
% 0.21/0.47 % (29843)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (29843)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.47
% 0.21/0.47
% 0.21/0.47 % (29843)Memory used [KB]: 5756
% 0.21/0.47 % (29843)Time elapsed: 0.011 s
% 0.21/0.47 % (29843)Instructions burned: 18 (million)
% 0.21/0.47 % (29843)------------------------------
% 0.21/0.47 % (29843)------------------------------
% 0.21/0.47 % (29815)Instruction limit reached!
% 0.21/0.47 % (29815)------------------------------
% 0.21/0.47 % (29815)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (29815)Termination reason: Unknown
% 0.21/0.47 % (29815)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (29815)Memory used [KB]: 7164
% 0.21/0.47 % (29815)Time elapsed: 0.096 s
% 0.21/0.47 % (29815)Instructions burned: 183 (million)
% 0.21/0.47 % (29815)------------------------------
% 0.21/0.47 % (29815)------------------------------
% 0.21/0.47 % (29835)Refutation not found, incomplete strategy
% 0.21/0.47 % (29835)------------------------------
% 0.21/0.47 % (29835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (29835)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.47
% 0.21/0.47
% 0.21/0.47 % (29835)Memory used [KB]: 6140
% 0.21/0.47 % (29835)Time elapsed: 0.053 s
% 0.21/0.47 % (29835)Instructions burned: 83 (million)
% 0.21/0.47 % (29835)------------------------------
% 0.21/0.47 % (29835)------------------------------
% 0.21/0.47 % (29845)Instruction limit reached!
% 0.21/0.47 % (29845)------------------------------
% 0.21/0.47 % (29845)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (29845)Termination reason: Unknown
% 0.21/0.47 % (29845)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (29845)Memory used [KB]: 5628
% 0.21/0.47 % (29845)Time elapsed: 0.011 s
% 0.21/0.47 % (29845)Instructions burned: 17 (million)
% 0.21/0.47 % (29845)------------------------------
% 0.21/0.47 % (29845)------------------------------
% 0.21/0.48 % (29846)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.48 % (29846)Instruction limit reached!
% 0.21/0.48 % (29846)------------------------------
% 0.21/0.48 % (29846)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (29846)Termination reason: Unknown
% 0.21/0.48 % (29846)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (29846)Memory used [KB]: 1023
% 0.21/0.48 % (29846)Time elapsed: 0.003 s
% 0.21/0.48 % (29846)Instructions burned: 3 (million)
% 0.21/0.48 % (29846)------------------------------
% 0.21/0.48 % (29846)------------------------------
% 0.21/0.49 % (29847)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.49 % (29849)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)
% 0.21/0.49 % (29848)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.21/0.50 % (29847)Instruction limit reached!
% 0.21/0.50 % (29847)------------------------------
% 0.21/0.50 % (29847)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (29847)Termination reason: Unknown
% 0.21/0.50 % (29847)Termination phase: Saturation
% 0.21/0.50 % (29850)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)
% 0.21/0.50
% 0.21/0.50 % (29847)Memory used [KB]: 5756
% 0.21/0.50 % (29847)Time elapsed: 0.017 s
% 0.21/0.50 % (29847)Instructions burned: 30 (million)
% 0.21/0.50 % (29847)------------------------------
% 0.21/0.50 % (29847)------------------------------
% 0.21/0.50 % (29850)Instruction limit reached!
% 0.21/0.50 % (29850)------------------------------
% 0.21/0.50 % (29850)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (29850)Termination reason: Unknown
% 0.21/0.50 % (29850)Termination phase: shuffling
% 0.21/0.50
% 0.21/0.50 % (29850)Memory used [KB]: 1023
% 0.21/0.50 % (29850)Time elapsed: 0.003 s
% 0.21/0.50 % (29850)Instructions burned: 3 (million)
% 0.21/0.50 % (29850)------------------------------
% 0.21/0.50 % (29850)------------------------------
% 0.21/0.52 % (29851)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)
% 1.44/0.53 % (29851)Instruction limit reached!
% 1.44/0.53 % (29851)------------------------------
% 1.44/0.53 % (29851)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.53 % (29851)Termination reason: Unknown
% 1.44/0.53 % (29851)Termination phase: Saturation
% 1.44/0.53
% 1.44/0.53 % (29851)Memory used [KB]: 5756
% 1.44/0.53 % (29851)Time elapsed: 0.013 s
% 1.44/0.53 % (29851)Instructions burned: 20 (million)
% 1.44/0.53 % (29851)------------------------------
% 1.44/0.53 % (29851)------------------------------
% 1.44/0.54 % (29852)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)
% 1.44/0.54 % (29849)Instruction limit reached!
% 1.44/0.54 % (29849)------------------------------
% 1.44/0.54 % (29849)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.54 % (29849)Termination reason: Unknown
% 1.44/0.54 % (29849)Termination phase: Saturation
% 1.44/0.54
% 1.44/0.54 % (29849)Memory used [KB]: 6140
% 1.44/0.54 % (29849)Time elapsed: 0.077 s
% 1.44/0.54 % (29849)Instructions burned: 100 (million)
% 1.44/0.54 % (29849)------------------------------
% 1.44/0.54 % (29849)------------------------------
% 1.44/0.54 % (29853)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)
% 1.56/0.56 % (29854)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)
% 1.56/0.56 % (29848)Instruction limit reached!
% 1.56/0.56 % (29848)------------------------------
% 1.56/0.56 % (29848)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.56 % (29848)Termination reason: Unknown
% 1.56/0.56 % (29848)Termination phase: Saturation
% 1.56/0.56
% 1.56/0.56 % (29848)Memory used [KB]: 6268
% 1.56/0.56 % (29848)Time elapsed: 0.095 s
% 1.56/0.56 % (29848)Instructions burned: 127 (million)
% 1.56/0.56 % (29848)------------------------------
% 1.56/0.56 % (29848)------------------------------
% 1.56/0.56 % (29826)First to succeed.
% 1.56/0.58 % (29826)Refutation found. Thanks to Tanya!
% 1.56/0.58 % SZS status Theorem for theBenchmark
% 1.56/0.58 % SZS output start Proof for theBenchmark
% 1.56/0.58 thf(type_def_5, type, mu: $tType).
% 1.56/0.58 thf(type_def_7, type, reg: $tType).
% 1.56/0.58 thf(func_def_0, type, mu: $tType).
% 1.56/0.58 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 1.56/0.58 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 1.56/0.58 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 1.56/0.58 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 1.56/0.58 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 1.56/0.58 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 1.56/0.58 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 1.56/0.58 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 1.56/0.58 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 1.56/0.58 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 1.56/0.58 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 1.56/0.58 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 1.56/0.58 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 1.56/0.58 thf(func_def_15, type, mtrue: $i > $o).
% 1.56/0.58 thf(func_def_16, type, mfalse: $i > $o).
% 1.56/0.58 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.56/0.58 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.56/0.58 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 1.56/0.58 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 1.56/0.58 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 1.56/0.58 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 1.56/0.58 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 1.56/0.58 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 1.56/0.58 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 1.56/0.58 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 1.56/0.58 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 1.56/0.58 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 1.56/0.58 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 1.56/0.58 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 1.56/0.58 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 1.56/0.58 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 1.56/0.58 thf(func_def_33, type, reg: $tType).
% 1.56/0.58 thf(func_def_34, type, c: reg > reg > $o).
% 1.56/0.58 thf(func_def_35, type, dc: reg > reg > $o).
% 1.56/0.58 thf(func_def_36, type, p: reg > reg > $o).
% 1.56/0.58 thf(func_def_37, type, eq: reg > reg > $o).
% 1.56/0.58 thf(func_def_38, type, o: reg > reg > $o).
% 1.56/0.58 thf(func_def_39, type, po: reg > reg > $o).
% 1.56/0.58 thf(func_def_40, type, ec: reg > reg > $o).
% 1.56/0.58 thf(func_def_41, type, pp: reg > reg > $o).
% 1.56/0.58 thf(func_def_42, type, tpp: reg > reg > $o).
% 1.56/0.58 thf(func_def_43, type, ntpp: reg > reg > $o).
% 1.56/0.58 thf(func_def_44, type, catalunya: reg).
% 1.56/0.58 thf(func_def_45, type, france: reg).
% 1.56/0.58 thf(func_def_46, type, spain: reg).
% 1.56/0.58 thf(func_def_47, type, paris: reg).
% 1.56/0.58 thf(func_def_48, type, a: $i > $i > $o).
% 1.56/0.58 thf(func_def_49, type, fool: $i > $i > $o).
% 1.56/0.58 thf(func_def_66, type, ph1: !>[X0: $tType]:(X0)).
% 1.56/0.58 thf(func_def_67, type, sK2: $i > $i > $i).
% 1.56/0.58 thf(func_def_71, type, sK6: reg).
% 1.56/0.58 thf(func_def_72, type, sK7: reg).
% 1.56/0.58 thf(func_def_73, type, sK8: reg).
% 1.56/0.58 thf(func_def_74, type, sK9: reg).
% 1.56/0.58 thf(func_def_75, type, sK10: reg).
% 1.56/0.58 thf(func_def_76, type, sK11: reg).
% 1.56/0.58 thf(func_def_77, type, sK12: reg).
% 1.56/0.58 thf(func_def_78, type, sK13: reg).
% 1.56/0.58 thf(func_def_79, type, sK14: reg).
% 1.56/0.58 thf(func_def_80, type, sK15: reg).
% 1.56/0.58 thf(func_def_81, type, sK16: reg).
% 1.56/0.58 thf(func_def_82, type, sK17: reg).
% 1.56/0.58 thf(func_def_83, type, sK18: reg).
% 1.56/0.58 thf(func_def_84, type, sK19: reg).
% 1.56/0.58 thf(func_def_85, type, sK20: reg).
% 1.56/0.58 thf(func_def_86, type, sK21: reg).
% 1.56/0.58 thf(f2266,plain,(
% 1.56/0.58 $false),
% 1.56/0.58 inference(avatar_sat_refutation,[],[f263,f298,f390,f869,f1523,f2265])).
% 1.56/0.58 thf(f2265,plain,(
% 1.56/0.58 ~spl0_1 | ~spl0_4 | ~spl0_9),
% 1.56/0.58 inference(avatar_contradiction_clause,[],[f2264])).
% 1.56/0.58 thf(f2264,plain,(
% 1.56/0.58 $false | (~spl0_1 | ~spl0_4 | ~spl0_9)),
% 1.56/0.58 inference(trivial_inequality_removal,[],[f2263])).
% 1.56/0.58 thf(f2263,plain,(
% 1.56/0.58 ($false = $true) | (~spl0_1 | ~spl0_4 | ~spl0_9)),
% 1.56/0.58 inference(boolean_simplification,[],[f2262])).
% 1.56/0.58 thf(f2262,plain,(
% 1.56/0.58 ($true = (~ $true)) | (~spl0_1 | ~spl0_4 | ~spl0_9)),
% 1.56/0.58 inference(backward_demodulation,[],[f2247,f2261])).
% 1.56/0.58 thf(f2261,plain,(
% 1.56/0.58 ($true = (c @ sK19 @ paris)) | (~spl0_1 | ~spl0_9)),
% 1.56/0.58 inference(boolean_simplification,[],[f2255])).
% 1.56/0.58 thf(f2255,plain,(
% 1.56/0.58 ($true = ($true => (c @ sK19 @ paris))) | (~spl0_1 | ~spl0_9)),
% 1.56/0.58 inference(superposition,[],[f1610,f2030])).
% 1.56/0.58 thf(f2030,plain,(
% 1.56/0.58 ((c @ sK19 @ sK12) = $true) | (~spl0_1 | ~spl0_9)),
% 1.56/0.58 inference(binary_proxy_clausification,[],[f2019])).
% 1.56/0.58 thf(f2019,plain,(
% 1.56/0.58 ($false = ((c @ sK19 @ sK12) => (c @ sK19 @ france))) | (~spl0_1 | ~spl0_9)),
% 1.56/0.58 inference(beta_eta_normalization,[],[f2017])).
% 1.56/0.58 thf(f2017,plain,(
% 1.56/0.58 ($false = ((^[Y0 : reg]: ((c @ Y0 @ sK12) => (c @ Y0 @ france))) @ sK19)) | (~spl0_1 | ~spl0_9)),
% 1.56/0.58 inference(sigma_clausification,[],[f1680])).
% 1.56/0.58 thf(f1680,plain,(
% 1.56/0.58 ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK12) => (c @ Y0 @ france))))) | (~spl0_1 | ~spl0_9)),
% 1.56/0.58 inference(boolean_simplification,[],[f1677])).
% 1.56/0.58 thf(f1677,plain,(
% 1.56/0.58 ($false = ($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK12) => (c @ Y0 @ france)))))) | (~spl0_1 | ~spl0_9)),
% 1.56/0.58 inference(superposition,[],[f317,f1602])).
% 1.56/0.58 thf(f1602,plain,(
% 1.56/0.58 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK12) => (c @ Y0 @ spain))))) | ~spl0_9),
% 1.56/0.58 inference(binary_proxy_clausification,[],[f1594])).
% 1.56/0.58 thf(f1594,plain,(
% 1.56/0.58 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK12) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK12) => (c @ Y0 @ paris)))))) | ~spl0_9),
% 1.56/0.58 inference(beta_eta_normalization,[],[f1586])).
% 1.56/0.58 thf(f1586,plain,(
% 1.56/0.58 ($true = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))) @ sK12)) | ~spl0_9),
% 1.56/0.58 inference(sigma_clausification,[],[f1565])).
% 1.56/0.58 thf(f1565,plain,(
% 1.56/0.58 ($true = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) | ~spl0_9),
% 1.56/0.58 inference(not_proxy_clausification,[],[f861])).
% 1.56/0.58 thf(f861,plain,(
% 1.56/0.58 ($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) | ~spl0_9),
% 1.56/0.58 inference(avatar_component_clause,[],[f860])).
% 1.56/0.58 thf(f860,plain,(
% 1.56/0.58 spl0_9 <=> ($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))))),
% 1.56/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 1.56/0.58 thf(f317,plain,(
% 1.56/0.58 ( ! [X1 : reg] : (($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france))))))) ) | ~spl0_1),
% 1.56/0.58 inference(beta_eta_normalization,[],[f316])).
% 1.56/0.58 thf(f316,plain,(
% 1.56/0.58 ( ! [X1 : reg] : (($false = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) @ X1))) ) | ~spl0_1),
% 1.56/0.58 inference(pi_clausification,[],[f309])).
% 1.56/0.58 thf(f309,plain,(
% 1.56/0.58 ($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) | ~spl0_1),
% 1.56/0.58 inference(not_proxy_clausification,[],[f308])).
% 1.56/0.58 thf(f308,plain,(
% 1.56/0.58 ($true = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))) | ~spl0_1),
% 1.56/0.58 inference(boolean_simplification,[],[f307])).
% 1.56/0.58 thf(f307,plain,(
% 1.56/0.58 ($true = ($true & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))))) | ~spl0_1),
% 1.56/0.58 inference(backward_demodulation,[],[f259,f306])).
% 1.56/0.58 thf(f306,plain,(
% 1.56/0.58 ($true = (c @ spain @ france)) | ~spl0_1),
% 1.56/0.58 inference(binary_proxy_clausification,[],[f259])).
% 1.56/0.58 thf(f259,plain,(
% 1.56/0.58 ($true = ((c @ spain @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))))) | ~spl0_1),
% 1.56/0.58 inference(avatar_component_clause,[],[f258])).
% 1.56/0.58 thf(f258,plain,(
% 1.56/0.58 spl0_1 <=> ($true = ((c @ spain @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))))),
% 1.56/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 1.56/0.58 thf(f1610,plain,(
% 1.56/0.58 ( ! [X1 : reg] : ((((c @ X1 @ sK12) => (c @ X1 @ paris)) = $true)) ) | ~spl0_9),
% 1.56/0.58 inference(beta_eta_normalization,[],[f1609])).
% 1.56/0.58 thf(f1609,plain,(
% 1.56/0.58 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK12) => (c @ Y0 @ paris))) @ X1))) ) | ~spl0_9),
% 1.56/0.58 inference(pi_clausification,[],[f1604])).
% 1.56/0.58 thf(f1604,plain,(
% 1.56/0.58 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK12) => (c @ Y0 @ paris))))) | ~spl0_9),
% 1.56/0.58 inference(boolean_simplification,[],[f1603])).
% 1.56/0.58 thf(f1603,plain,(
% 1.56/0.58 (($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK12) => (c @ Y0 @ paris))))) = $true) | ~spl0_9),
% 1.56/0.58 inference(backward_demodulation,[],[f1594,f1602])).
% 1.56/0.58 thf(f2247,plain,(
% 1.56/0.58 ((~ (c @ sK19 @ paris)) = $true) | (~spl0_1 | ~spl0_4 | ~spl0_9)),
% 1.56/0.58 inference(boolean_simplification,[],[f2238])).
% 1.56/0.58 thf(f2238,plain,(
% 1.56/0.58 ($true = ((c @ sK19 @ paris) => $false)) | (~spl0_1 | ~spl0_4 | ~spl0_9)),
% 1.56/0.58 inference(superposition,[],[f426,f2029])).
% 1.56/0.58 thf(f2029,plain,(
% 1.56/0.58 ($false = (c @ sK19 @ france)) | (~spl0_1 | ~spl0_9)),
% 1.56/0.58 inference(binary_proxy_clausification,[],[f2019])).
% 1.56/0.58 thf(f426,plain,(
% 1.56/0.58 ( ! [X1 : reg] : (($true = ((c @ X1 @ paris) => (c @ X1 @ france)))) ) | ~spl0_4),
% 1.56/0.58 inference(beta_eta_normalization,[],[f424])).
% 1.56/0.58 thf(f424,plain,(
% 1.56/0.58 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X1) = $true)) ) | ~spl0_4),
% 1.56/0.58 inference(pi_clausification,[],[f417])).
% 1.56/0.58 thf(f417,plain,(
% 1.56/0.58 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) = $true) | ~spl0_4),
% 1.56/0.58 inference(boolean_simplification,[],[f416])).
% 1.56/0.58 thf(f416,plain,(
% 1.56/0.58 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & $true)) | ~spl0_4),
% 1.56/0.58 inference(backward_demodulation,[],[f406,f414])).
% 1.56/0.58 thf(f414,plain,(
% 1.56/0.58 ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) = $true) | ~spl0_4),
% 1.56/0.58 inference(binary_proxy_clausification,[],[f406])).
% 1.56/0.58 thf(f406,plain,(
% 1.56/0.58 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))) | ~spl0_4),
% 1.56/0.58 inference(boolean_simplification,[],[f405])).
% 1.56/0.58 thf(f405,plain,(
% 1.56/0.58 ($true = ($true & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))))) | ~spl0_4),
% 1.56/0.58 inference(backward_demodulation,[],[f387,f404])).
% 1.56/0.58 thf(f404,plain,(
% 1.56/0.58 ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))))) = $true) | ~spl0_4),
% 1.56/0.58 inference(binary_proxy_clausification,[],[f387])).
% 1.56/0.58 thf(f387,plain,(
% 1.56/0.58 ($true = ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))))) | ~spl0_4),
% 1.56/0.58 inference(avatar_component_clause,[],[f386])).
% 1.56/0.58 thf(f386,plain,(
% 1.56/0.58 spl0_4 <=> ($true = ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))))),
% 1.56/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 1.56/0.58 thf(f1523,plain,(
% 1.56/0.58 ~spl0_11),
% 1.56/0.58 inference(avatar_contradiction_clause,[],[f1522])).
% 1.56/0.58 thf(f1522,plain,(
% 1.56/0.58 $false | ~spl0_11),
% 1.56/0.58 inference(trivial_inequality_removal,[],[f1521])).
% 1.56/0.58 thf(f1521,plain,(
% 1.56/0.58 ($false = $true) | ~spl0_11),
% 1.56/0.58 inference(forward_demodulation,[],[f1287,f868])).
% 1.56/0.58 thf(f868,plain,(
% 1.56/0.58 ($false = (c @ paris @ spain)) | ~spl0_11),
% 1.56/0.58 inference(avatar_component_clause,[],[f867])).
% 1.56/0.58 thf(f867,plain,(
% 1.56/0.58 spl0_11 <=> ($false = (c @ paris @ spain))),
% 1.56/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
% 1.56/0.58 thf(f1287,plain,(
% 1.56/0.58 ($true = (c @ paris @ spain))),
% 1.56/0.58 inference(boolean_simplification,[],[f1284])).
% 1.56/0.58 thf(f1284,plain,(
% 1.56/0.58 (($true => (c @ paris @ spain)) = $true)),
% 1.56/0.58 inference(superposition,[],[f399,f1097])).
% 1.56/0.58 thf(f1097,plain,(
% 1.56/0.58 ($true = (c @ paris @ catalunya))),
% 1.56/0.58 inference(boolean_simplification,[],[f1092])).
% 1.56/0.58 thf(f1092,plain,(
% 1.56/0.58 (($true => (c @ paris @ catalunya)) = $true)),
% 1.56/0.58 inference(superposition,[],[f1079,f851])).
% 1.56/0.58 thf(f851,plain,(
% 1.56/0.58 ((c @ paris @ sK11) = $true)),
% 1.56/0.58 inference(boolean_simplification,[],[f844])).
% 1.56/0.58 thf(f844,plain,(
% 1.56/0.58 (($true => (c @ paris @ sK11)) = $true)),
% 1.56/0.58 inference(superposition,[],[f231,f833])).
% 1.56/0.58 thf(f833,plain,(
% 1.56/0.58 ($true = (c @ sK11 @ paris))),
% 1.56/0.58 inference(boolean_simplification,[],[f830])).
% 1.56/0.58 thf(f830,plain,(
% 1.56/0.58 (($true => (c @ sK11 @ paris)) = $true)),
% 1.56/0.58 inference(superposition,[],[f818,f227])).
% 1.56/0.58 thf(f227,plain,(
% 1.56/0.58 ( ! [X1 : reg] : (((c @ X1 @ X1) = $true)) )),
% 1.56/0.58 inference(beta_eta_normalization,[],[f226])).
% 1.56/0.58 thf(f226,plain,(
% 1.56/0.58 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: (c @ Y0 @ Y0)) @ X1))) )),
% 1.56/0.58 inference(pi_clausification,[],[f168])).
% 1.56/0.58 thf(f168,plain,(
% 1.56/0.58 ($true = (!! @ reg @ (^[Y0 : reg]: (c @ Y0 @ Y0))))),
% 1.56/0.58 inference(cnf_transformation,[],[f63])).
% 1.56/0.58 thf(f63,plain,(
% 1.56/0.58 ($true = (!! @ reg @ (^[Y0 : reg]: (c @ Y0 @ Y0))))),
% 1.56/0.58 inference(fool_elimination,[],[f62])).
% 1.56/0.58 thf(f62,plain,(
% 1.56/0.58 ! [X0 : reg] : (c @ X0 @ X0)),
% 1.56/0.58 inference(rectify,[],[f32])).
% 1.56/0.58 thf(f32,axiom,(
% 1.56/0.58 ! [X0 : reg] : (c @ X0 @ X0)),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_reflexive)).
% 1.56/0.58 thf(f818,plain,(
% 1.56/0.58 ( ! [X1 : reg] : (($true = ((c @ X1 @ sK11) => (c @ X1 @ paris)))) )),
% 1.56/0.58 inference(beta_eta_normalization,[],[f817])).
% 1.56/0.58 thf(f817,plain,(
% 1.56/0.58 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))) @ X1))) )),
% 1.56/0.58 inference(pi_clausification,[],[f812])).
% 1.56/0.58 thf(f812,plain,(
% 1.56/0.58 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true)),
% 1.56/0.58 inference(boolean_simplification,[],[f811])).
% 1.56/0.58 thf(f811,plain,(
% 1.56/0.58 (($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))))) = $true)),
% 1.56/0.58 inference(backward_demodulation,[],[f797,f810])).
% 1.56/0.58 thf(f810,plain,(
% 1.56/0.58 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya)))) = $true)),
% 1.56/0.58 inference(binary_proxy_clausification,[],[f797])).
% 1.56/0.58 thf(f797,plain,(
% 1.56/0.58 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))))))),
% 1.56/0.58 inference(beta_eta_normalization,[],[f794])).
% 1.56/0.58 thf(f794,plain,(
% 1.56/0.58 (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))) @ sK11) = $true)),
% 1.56/0.58 inference(sigma_clausification,[],[f782])).
% 1.56/0.58 thf(f782,plain,(
% 1.56/0.58 ($true = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))),
% 1.56/0.58 inference(not_proxy_clausification,[],[f402])).
% 1.56/0.58 thf(f402,plain,(
% 1.56/0.58 ($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))))),
% 1.56/0.58 inference(boolean_simplification,[],[f401])).
% 1.56/0.58 thf(f401,plain,(
% 1.56/0.58 ($false = ($true & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))))),
% 1.56/0.58 inference(forward_demodulation,[],[f400,f371])).
% 1.56/0.58 thf(f371,plain,(
% 1.56/0.58 ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) = $true)),
% 1.56/0.58 inference(binary_proxy_clausification,[],[f368])).
% 1.56/0.58 thf(f368,plain,(
% 1.56/0.58 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) = $true)),
% 1.56/0.58 inference(boolean_simplification,[],[f367])).
% 1.56/0.58 thf(f367,plain,(
% 1.56/0.58 ($true = ($true & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))))),
% 1.56/0.58 inference(backward_demodulation,[],[f358,f366])).
% 1.56/0.58 thf(f366,plain,(
% 1.56/0.58 ((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))))))) = $true)),
% 1.56/0.58 inference(binary_proxy_clausification,[],[f358])).
% 1.56/0.58 thf(f358,plain,(
% 1.56/0.58 ($true = ((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))))),
% 1.56/0.58 inference(boolean_simplification,[],[f357])).
% 1.56/0.58 thf(f357,plain,(
% 1.56/0.58 (($false | ((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) = $true)),
% 1.56/0.58 inference(boolean_simplification,[],[f354])).
% 1.56/0.58 thf(f354,plain,(
% 1.56/0.58 (((~ $true) | ((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) = $true)),
% 1.56/0.58 inference(superposition,[],[f351,f340])).
% 1.56/0.58 thf(f340,plain,(
% 1.56/0.58 ((a @ sK3 @ sK5) = $true)),
% 1.56/0.58 inference(not_proxy_clausification,[],[f339])).
% 1.56/0.58 thf(f339,plain,(
% 1.56/0.58 ($false = (~ (a @ sK3 @ sK5)))),
% 1.56/0.58 inference(beta_eta_normalization,[],[f338])).
% 1.56/0.58 thf(f338,plain,(
% 1.56/0.58 ($false = ((^[Y0 : $i]: (~ (a @ sK3 @ Y0))) @ sK5))),
% 1.56/0.58 inference(sigma_clausification,[],[f331])).
% 1.56/0.58 thf(f331,plain,(
% 1.56/0.58 ($false = (!! @ $i @ (^[Y0 : $i]: (~ (a @ sK3 @ Y0)))))),
% 1.56/0.58 inference(boolean_simplification,[],[f330])).
% 1.56/0.58 thf(f330,plain,(
% 1.56/0.58 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK3 @ Y0)) | $false))))),
% 1.56/0.58 inference(backward_demodulation,[],[f324,f327])).
% 1.56/0.58 thf(f327,plain,(
% 1.56/0.58 ($false = (?? @ reg @ (^[Y0 : reg]: ((~ ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))))))),
% 1.56/0.58 inference(binary_proxy_clausification,[],[f326])).
% 1.56/0.58 thf(f326,plain,(
% 1.56/0.58 ($false = ((~ (a @ sK3 @ sK4)) | (?? @ reg @ (^[Y0 : reg]: ((~ ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))))))))),
% 1.56/0.58 inference(beta_eta_normalization,[],[f325])).
% 1.56/0.58 thf(f325,plain,(
% 1.56/0.58 (((^[Y0 : $i]: ((~ (a @ sK3 @ Y0)) | (?? @ reg @ (^[Y1 : reg]: ((~ ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ Y1)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))))))))))) @ sK4) = $false)),
% 1.56/0.58 inference(sigma_clausification,[],[f324])).
% 1.56/0.58 thf(f324,plain,(
% 1.56/0.58 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK3 @ Y0)) | (?? @ reg @ (^[Y1 : reg]: ((~ ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ Y1)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))))))))))),
% 1.56/0.58 inference(beta_eta_normalization,[],[f323])).
% 1.56/0.58 thf(f323,plain,(
% 1.56/0.58 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (?? @ reg @ (^[Y2 : reg]: ((~ ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ spain) => (c @ Y3 @ Y2)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris))))))))))))))) @ sK3))),
% 1.56/0.58 inference(sigma_clausification,[],[f280])).
% 1.56/0.58 thf(f280,plain,(
% 1.56/0.58 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (?? @ reg @ (^[Y2 : reg]: ((~ ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ spain) => (c @ Y3 @ Y2)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))))))))))) = $false)),
% 1.56/0.58 inference(not_proxy_clausification,[],[f221])).
% 1.56/0.58 thf(f221,plain,(
% 1.56/0.58 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (?? @ reg @ (^[Y2 : reg]: ((~ ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ spain) => (c @ Y3 @ Y2)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris))))))))))))))))) = $true)),
% 1.56/0.58 inference(beta_eta_normalization,[],[f214])).
% 1.56/0.58 thf(f214,plain,(
% 1.56/0.58 ($true = (~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: (?? @ reg @ (^[Y1 : reg]: ((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2) & ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3))))) @ Y1 @ spain)) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y1 @ paris))))))))))),
% 1.56/0.58 inference(definition_unfolding,[],[f173,f180,f165,f205,f206])).
% 1.56/0.58 thf(f206,plain,(
% 1.56/0.58 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1))))))))),
% 1.56/0.58 inference(definition_unfolding,[],[f163,f175,f175])).
% 1.56/0.58 thf(f175,plain,(
% 1.56/0.58 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 1.56/0.58 inference(cnf_transformation,[],[f130])).
% 1.56/0.58 thf(f130,plain,(
% 1.56/0.58 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 1.56/0.58 inference(fool_elimination,[],[f129])).
% 1.56/0.58 thf(f129,plain,(
% 1.56/0.58 (p = (^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))))),
% 1.56/0.58 inference(rectify,[],[f35])).
% 1.56/0.58 thf(f35,axiom,(
% 1.56/0.58 (p = (^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))))),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p)).
% 1.56/0.58 thf(f163,plain,(
% 1.56/0.58 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 1.56/0.58 inference(cnf_transformation,[],[f112])).
% 1.56/0.58 thf(f112,plain,(
% 1.56/0.58 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 1.56/0.58 inference(fool_elimination,[],[f111])).
% 1.56/0.58 thf(f111,plain,(
% 1.56/0.58 (o = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X1) & (p @ X2 @ X0)))))),
% 1.56/0.58 inference(rectify,[],[f37])).
% 1.56/0.58 thf(f37,axiom,(
% 1.56/0.58 (o = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X1) & (p @ X11 @ X0)))))),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o)).
% 1.56/0.58 thf(f205,plain,(
% 1.56/0.58 (eq = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0) & ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1))))))),
% 1.56/0.58 inference(definition_unfolding,[],[f170,f175,f175])).
% 1.56/0.58 thf(f170,plain,(
% 1.56/0.58 (eq = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y1 @ Y0) & (p @ Y0 @ Y1))))))),
% 1.56/0.58 inference(cnf_transformation,[],[f73])).
% 1.56/0.58 thf(f73,plain,(
% 1.56/0.58 (eq = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y1 @ Y0) & (p @ Y0 @ Y1))))))),
% 1.56/0.58 inference(fool_elimination,[],[f72])).
% 1.56/0.58 thf(f72,plain,(
% 1.56/0.58 ((^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & (p @ X1 @ X0))) = eq)),
% 1.56/0.58 inference(rectify,[],[f36])).
% 1.56/0.58 thf(f36,axiom,(
% 1.56/0.58 ((^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & (p @ X1 @ X0))) = eq)),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq)).
% 1.56/0.58 thf(f165,plain,(
% 1.56/0.58 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 1.56/0.58 inference(cnf_transformation,[],[f84])).
% 1.56/0.58 thf(f84,plain,(
% 1.56/0.58 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 1.56/0.58 inference(fool_elimination,[],[f83])).
% 1.56/0.58 thf(f83,plain,(
% 1.56/0.58 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox)),
% 1.56/0.58 inference(rectify,[],[f16])).
% 1.56/0.58 thf(f16,axiom,(
% 1.56/0.58 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox)),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 1.56/0.58 thf(f180,plain,(
% 1.56/0.58 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.56/0.58 inference(cnf_transformation,[],[f126])).
% 1.56/0.58 thf(f126,plain,(
% 1.56/0.58 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.56/0.58 inference(fool_elimination,[],[f125])).
% 1.56/0.58 thf(f125,plain,(
% 1.56/0.58 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 1.56/0.58 inference(rectify,[],[f28])).
% 1.56/0.58 thf(f28,axiom,(
% 1.56/0.58 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 1.56/0.58 thf(f173,plain,(
% 1.56/0.58 ($true = (~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: (?? @ reg @ (^[Y1 : reg]: ((~ (eq @ Y1 @ spain)) & (~ (o @ Y1 @ paris))))))))))),
% 1.56/0.58 inference(cnf_transformation,[],[f96])).
% 1.56/0.58 thf(f96,plain,(
% 1.56/0.58 ($true = (~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: (?? @ reg @ (^[Y1 : reg]: ((~ (eq @ Y1 @ spain)) & (~ (o @ Y1 @ paris))))))))))),
% 1.56/0.58 inference(fool_elimination,[],[f95])).
% 1.56/0.58 thf(f95,plain,(
% 1.56/0.58 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (? [X1 : reg] : (~(o @ X1 @ paris) & ~(eq @ X1 @ spain))))))),
% 1.56/0.58 inference(rectify,[],[f50])).
% 1.56/0.58 thf(f50,negated_conjecture,(
% 1.56/0.58 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (? [X11 : reg] : (~(o @ X11 @ paris) & ~(eq @ X11 @ spain))))))),
% 1.56/0.58 inference(negated_conjecture,[],[f49])).
% 1.56/0.58 thf(f49,conjecture,(
% 1.56/0.58 (mvalid @ (mbox @ a @ (^[X0 : $i] : (? [X11 : reg] : (~(o @ X11 @ paris) & ~(eq @ X11 @ spain))))))),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 1.56/0.58 thf(f351,plain,(
% 1.56/0.58 ( ! [X2 : $i,X1 : $i] : ((((~ (a @ X1 @ X2)) | ((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) = $true)) )),
% 1.56/0.58 inference(beta_eta_normalization,[],[f350])).
% 1.56/0.58 thf(f350,plain,(
% 1.56/0.58 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))))) & ((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))))))) @ X2))) )),
% 1.56/0.58 inference(pi_clausification,[],[f348])).
% 1.56/0.58 thf(f348,plain,(
% 1.56/0.58 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))))) & ((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya)))))))))) = $true)) )),
% 1.56/0.58 inference(beta_eta_normalization,[],[f347])).
% 1.56/0.58 thf(f347,plain,(
% 1.56/0.58 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))))) & ((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))))))))) @ X1))) )),
% 1.56/0.58 inference(pi_clausification,[],[f220])).
% 1.56/0.58 thf(f220,plain,(
% 1.56/0.58 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))))) & ((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya)))))))))))))),
% 1.56/0.58 inference(beta_eta_normalization,[],[f213])).
% 1.56/0.58 thf(f213,plain,(
% 1.56/0.58 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)))))) @ Y3 @ Y2)))) & ((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2))))) @ catalunya @ spain)))) = $true)),
% 1.56/0.58 inference(definition_unfolding,[],[f155,f180,f165,f210])).
% 1.56/0.58 thf(f210,plain,(
% 1.56/0.58 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y1)))) & ((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1))))))),
% 1.56/0.58 inference(definition_unfolding,[],[f182,f208,f208,f209])).
% 1.56/0.58 thf(f209,plain,(
% 1.56/0.58 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)))))))),
% 1.56/0.58 inference(definition_unfolding,[],[f151,f175,f175])).
% 1.56/0.58 thf(f151,plain,(
% 1.56/0.58 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 1.56/0.58 inference(cnf_transformation,[],[f53])).
% 1.56/0.58 thf(f53,plain,(
% 1.56/0.58 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 1.56/0.58 inference(fool_elimination,[],[f52])).
% 1.56/0.58 thf(f52,plain,(
% 1.56/0.58 (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))),
% 1.56/0.58 inference(rectify,[],[f40])).
% 1.56/0.58 thf(f40,axiom,(
% 1.56/0.58 (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pp)).
% 1.56/0.58 thf(f208,plain,(
% 1.56/0.58 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y0 @ Y1)))))))),
% 1.56/0.58 inference(definition_unfolding,[],[f184,f206])).
% 1.56/0.58 thf(f184,plain,(
% 1.56/0.58 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
% 1.56/0.58 inference(cnf_transformation,[],[f142])).
% 1.56/0.58 thf(f142,plain,(
% 1.56/0.58 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
% 1.56/0.58 inference(fool_elimination,[],[f141])).
% 1.56/0.58 thf(f141,plain,(
% 1.56/0.58 (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
% 1.56/0.58 inference(rectify,[],[f39])).
% 1.56/0.58 thf(f39,axiom,(
% 1.56/0.58 (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ec)).
% 1.56/0.58 thf(f182,plain,(
% 1.56/0.58 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
% 1.56/0.58 inference(cnf_transformation,[],[f82])).
% 1.56/0.58 thf(f82,plain,(
% 1.56/0.58 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
% 1.56/0.58 inference(fool_elimination,[],[f81])).
% 1.56/0.58 thf(f81,plain,(
% 1.56/0.58 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)))) = tpp)),
% 1.56/0.58 inference(rectify,[],[f41])).
% 1.56/0.58 thf(f41,axiom,(
% 1.56/0.58 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)))) = tpp)),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tpp)).
% 1.56/0.58 thf(f155,plain,(
% 1.56/0.58 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)),
% 1.56/0.58 inference(cnf_transformation,[],[f117])).
% 1.56/0.58 thf(f117,plain,(
% 1.56/0.58 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)),
% 1.56/0.58 inference(fool_elimination,[],[f116])).
% 1.56/0.58 thf(f116,plain,(
% 1.56/0.58 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 1.56/0.58 inference(rectify,[],[f46])).
% 1.56/0.58 thf(f46,axiom,(
% 1.56/0.58 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)).
% 1.56/0.58 thf(f400,plain,(
% 1.56/0.58 (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) = $false)),
% 1.56/0.58 inference(boolean_simplification,[],[f397])).
% 1.56/0.58 thf(f397,plain,(
% 1.56/0.58 ($false = ((~ ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))) & $true)) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))))),
% 1.56/0.58 inference(superposition,[],[f346,f374])).
% 1.56/0.58 thf(f374,plain,(
% 1.56/0.58 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) = $true)),
% 1.56/0.58 inference(boolean_simplification,[],[f373])).
% 1.56/0.58 thf(f373,plain,(
% 1.56/0.58 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & $true) = $true)),
% 1.56/0.58 inference(backward_demodulation,[],[f368,f371])).
% 1.56/0.58 thf(f346,plain,(
% 1.56/0.58 ( ! [X1 : reg] : (($false = ((~ ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ X1)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain)))))) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))))) )),
% 1.56/0.58 inference(beta_eta_normalization,[],[f345])).
% 1.56/0.58 thf(f345,plain,(
% 1.56/0.58 ( ! [X1 : reg] : (($false = ((^[Y0 : reg]: ((~ ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))))) @ X1))) )),
% 1.56/0.58 inference(pi_clausification,[],[f327])).
% 1.56/0.58 thf(f231,plain,(
% 1.56/0.58 ( ! [X2 : reg,X1 : reg] : (($true = ((c @ X2 @ X1) => (c @ X1 @ X2)))) )),
% 1.56/0.58 inference(beta_eta_normalization,[],[f230])).
% 1.56/0.58 thf(f230,plain,(
% 1.56/0.58 ( ! [X2 : reg,X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ X1 @ Y0))) @ X2) = $true)) )),
% 1.56/0.58 inference(pi_clausification,[],[f229])).
% 1.56/0.58 thf(f229,plain,(
% 1.56/0.58 ( ! [X1 : reg] : (($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ X1 @ Y0)))))) )),
% 1.56/0.58 inference(beta_eta_normalization,[],[f228])).
% 1.56/0.58 thf(f228,plain,(
% 1.56/0.58 ( ! [X1 : reg] : ((((^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1))))) @ X1) = $true)) )),
% 1.56/0.58 inference(pi_clausification,[],[f157])).
% 1.56/0.58 thf(f157,plain,(
% 1.56/0.58 ($true = (!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1)))))))),
% 1.56/0.58 inference(cnf_transformation,[],[f110])).
% 1.56/0.58 thf(f110,plain,(
% 1.56/0.58 ($true = (!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1)))))))),
% 1.56/0.58 inference(fool_elimination,[],[f109])).
% 1.56/0.58 thf(f109,plain,(
% 1.56/0.58 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))),
% 1.56/0.58 inference(rectify,[],[f33])).
% 1.56/0.58 thf(f33,axiom,(
% 1.56/0.58 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_symmetric)).
% 1.56/0.58 thf(f1079,plain,(
% 1.56/0.58 ( ! [X1 : reg] : (($true = ((c @ X1 @ sK11) => (c @ X1 @ catalunya)))) )),
% 1.56/0.58 inference(beta_eta_normalization,[],[f1078])).
% 1.56/0.58 thf(f1078,plain,(
% 1.56/0.58 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ catalunya))) @ X1))) )),
% 1.56/0.58 inference(pi_clausification,[],[f810])).
% 1.56/0.58 thf(f399,plain,(
% 1.56/0.58 ( ! [X1 : reg] : ((((c @ X1 @ catalunya) => (c @ X1 @ spain)) = $true)) )),
% 1.56/0.58 inference(beta_eta_normalization,[],[f395])).
% 1.56/0.58 thf(f395,plain,(
% 1.56/0.58 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X1) = $true)) )),
% 1.56/0.58 inference(pi_clausification,[],[f374])).
% 1.56/0.58 thf(f869,plain,(
% 1.56/0.58 spl0_9 | spl0_11 | ~spl0_1 | ~spl0_4),
% 1.56/0.58 inference(avatar_split_clause,[],[f858,f386,f258,f867,f860])).
% 1.56/0.58 thf(f858,plain,(
% 1.56/0.58 ($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) | ($false = (c @ paris @ spain)) | (~spl0_1 | ~spl0_4)),
% 1.56/0.58 inference(boolean_simplification,[],[f855])).
% 1.56/0.58 thf(f855,plain,(
% 1.56/0.58 ($false = ($true & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))))) | ($false = (c @ paris @ spain)) | (~spl0_1 | ~spl0_4)),
% 1.56/0.58 inference(superposition,[],[f588,f232])).
% 1.56/0.58 thf(f232,plain,(
% 1.56/0.58 ( ! [X2 : reg,X1 : reg] : (($true = (c @ X1 @ X2)) | ($false = (c @ X2 @ X1))) )),
% 1.56/0.58 inference(binary_proxy_clausification,[],[f231])).
% 1.56/0.58 thf(f588,plain,(
% 1.56/0.58 (((c @ spain @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) = $false) | (~spl0_1 | ~spl0_4)),
% 1.56/0.58 inference(boolean_simplification,[],[f587])).
% 1.56/0.58 thf(f587,plain,(
% 1.56/0.58 ($false = (((c @ spain @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) & $true)) | (~spl0_1 | ~spl0_4)),
% 1.56/0.58 inference(boolean_simplification,[],[f586])).
% 1.56/0.58 thf(f586,plain,(
% 1.56/0.58 ($false = (((c @ spain @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) & (~ $false))) | (~spl0_1 | ~spl0_4)),
% 1.56/0.58 inference(forward_demodulation,[],[f566,f309])).
% 1.56/0.58 thf(f566,plain,(
% 1.56/0.58 ($false = (((c @ spain @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))))) | (~spl0_1 | ~spl0_4)),
% 1.56/0.58 inference(boolean_simplification,[],[f547])).
% 1.56/0.58 thf(f547,plain,(
% 1.56/0.58 ((((c @ spain @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) & ($true & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))))) = $false) | (~spl0_1 | ~spl0_4)),
% 1.56/0.58 inference(superposition,[],[f534,f306])).
% 1.56/0.58 thf(f534,plain,(
% 1.56/0.58 ( ! [X1 : reg] : (($false = (((c @ X1 @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) & ((c @ X1 @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))))))) ) | ~spl0_4),
% 1.56/0.58 inference(beta_eta_normalization,[],[f533])).
% 1.56/0.58 thf(f533,plain,(
% 1.56/0.58 ( ! [X1 : reg] : (($false = ((^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))) @ X1))) ) | ~spl0_4),
% 1.56/0.58 inference(pi_clausification,[],[f524])).
% 1.56/0.58 thf(f524,plain,(
% 1.56/0.58 ($false = (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))))) | ~spl0_4),
% 1.56/0.58 inference(not_proxy_clausification,[],[f404])).
% 1.56/0.58 thf(f390,plain,(
% 1.56/0.58 spl0_4),
% 1.56/0.58 inference(avatar_split_clause,[],[f379,f386])).
% 1.56/0.58 thf(f379,plain,(
% 1.56/0.58 ($true = ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))))),
% 1.56/0.58 inference(boolean_simplification,[],[f378])).
% 1.56/0.58 thf(f378,plain,(
% 1.56/0.58 (($false | ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))))) = $true)),
% 1.56/0.58 inference(boolean_simplification,[],[f377])).
% 1.56/0.58 thf(f377,plain,(
% 1.56/0.58 (((~ $true) | ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))))) = $true)),
% 1.56/0.58 inference(superposition,[],[f370,f340])).
% 1.56/0.58 thf(f370,plain,(
% 1.56/0.58 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (a @ X1 @ X2)) | ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))))))) )),
% 1.56/0.58 inference(beta_eta_normalization,[],[f369])).
% 1.56/0.58 thf(f369,plain,(
% 1.56/0.58 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))))))) & ((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))))))) @ X2) = $true)) )),
% 1.56/0.58 inference(pi_clausification,[],[f364])).
% 1.56/0.58 thf(f364,plain,(
% 1.56/0.58 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))))))) & ((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))))))))) )),
% 1.56/0.58 inference(beta_eta_normalization,[],[f363])).
% 1.56/0.58 thf(f363,plain,(
% 1.56/0.58 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris))))))))) & ((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))))))))) @ X1) = $true)) )),
% 1.56/0.58 inference(pi_clausification,[],[f219])).
% 1.56/0.58 thf(f219,plain,(
% 1.56/0.58 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris))))))))) & ((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))))))))))),
% 1.56/0.58 inference(beta_eta_normalization,[],[f218])).
% 1.56/0.58 thf(f218,plain,(
% 1.56/0.58 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)))))) @ Y3 @ Y2))))) & ((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2))))) @ paris @ france)))) = $true)),
% 1.56/0.58 inference(definition_unfolding,[],[f192,f180,f165,f211])).
% 1.56/0.58 thf(f211,plain,(
% 1.56/0.58 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y1))))) & ((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1))))))),
% 1.56/0.58 inference(definition_unfolding,[],[f150,f208,f208,f209])).
% 1.56/0.58 thf(f150,plain,(
% 1.56/0.58 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))) & (pp @ Y0 @ Y1))))))),
% 1.56/0.58 inference(cnf_transformation,[],[f59])).
% 1.56/0.58 thf(f59,plain,(
% 1.56/0.58 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))) & (pp @ Y0 @ Y1))))))),
% 1.56/0.58 inference(fool_elimination,[],[f58])).
% 1.56/0.58 thf(f58,plain,(
% 1.56/0.58 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)))) = ntpp)),
% 1.56/0.58 inference(rectify,[],[f42])).
% 1.56/0.58 thf(f42,axiom,(
% 1.56/0.58 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)))) = ntpp)),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ntpp)).
% 1.56/0.58 thf(f192,plain,(
% 1.56/0.58 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))))),
% 1.56/0.58 inference(cnf_transformation,[],[f57])).
% 1.56/0.58 thf(f57,plain,(
% 1.56/0.58 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))))),
% 1.56/0.58 inference(fool_elimination,[],[f56])).
% 1.56/0.58 thf(f56,plain,(
% 1.56/0.58 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 1.56/0.58 inference(rectify,[],[f48])).
% 1.56/0.58 thf(f48,axiom,(
% 1.56/0.58 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)).
% 1.56/0.58 thf(f298,plain,(
% 1.56/0.58 ~spl0_2),
% 1.56/0.58 inference(avatar_contradiction_clause,[],[f297])).
% 1.56/0.58 thf(f297,plain,(
% 1.56/0.58 $false | ~spl0_2),
% 1.56/0.58 inference(trivial_inequality_removal,[],[f296])).
% 1.56/0.58 thf(f296,plain,(
% 1.56/0.58 ($false = $true) | ~spl0_2),
% 1.56/0.58 inference(boolean_simplification,[],[f295])).
% 1.56/0.58 thf(f295,plain,(
% 1.56/0.58 ( ! [X0 : $i,X1 : $i] : (($false = ($true | (fool @ X0 @ (sK2 @ X1 @ X0))))) ) | ~spl0_2),
% 1.56/0.58 inference(boolean_simplification,[],[f294])).
% 1.56/0.58 thf(f294,plain,(
% 1.56/0.58 ( ! [X0 : $i,X1 : $i] : (($false = ((~ $false) | (fool @ X0 @ (sK2 @ X1 @ X0))))) ) | ~spl0_2),
% 1.56/0.58 inference(forward_demodulation,[],[f293,f266])).
% 1.56/0.58 thf(f266,plain,(
% 1.56/0.58 ( ! [X2 : $i,X1 : $i] : (($false = (fool @ X1 @ X2))) ) | ~spl0_2),
% 1.56/0.58 inference(not_proxy_clausification,[],[f262])).
% 1.56/0.58 thf(f262,plain,(
% 1.56/0.58 ( ! [X2 : $i,X1 : $i] : (((~ (fool @ X1 @ X2)) = $true)) ) | ~spl0_2),
% 1.56/0.58 inference(avatar_component_clause,[],[f261])).
% 1.56/0.58 thf(f261,plain,(
% 1.56/0.58 spl0_2 <=> ! [X2,X1] : ((~ (fool @ X1 @ X2)) = $true)),
% 1.56/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 1.56/0.58 thf(f293,plain,(
% 1.56/0.58 ( ! [X0 : $i,X1 : $i] : (($false = ((~ (fool @ X1 @ (sK2 @ X1 @ X0))) | (fool @ X0 @ (sK2 @ X1 @ X0))))) ) | ~spl0_2),
% 1.56/0.58 inference(beta_eta_normalization,[],[f283])).
% 1.56/0.58 thf(f283,plain,(
% 1.56/0.58 ( ! [X0 : $i,X1 : $i] : (($false = ((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (fool @ X0 @ Y0))) @ (sK2 @ X1 @ X0)))) ) | ~spl0_2),
% 1.56/0.58 inference(sigma_clausification,[],[f271])).
% 1.56/0.58 thf(f271,plain,(
% 1.56/0.58 ( ! [X0 : $i,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (fool @ X0 @ Y0)))))) ) | ~spl0_2),
% 1.56/0.58 inference(not_proxy_clausification,[],[f270])).
% 1.56/0.58 thf(f270,plain,(
% 1.56/0.58 ( ! [X0 : $i,X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (fool @ X0 @ Y0))))) = $true)) ) | ~spl0_2),
% 1.56/0.58 inference(boolean_simplification,[],[f269])).
% 1.56/0.58 thf(f269,plain,(
% 1.56/0.58 ( ! [X0 : $i,X1 : $i] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (fool @ X0 @ Y0))))) | $false))) ) | ~spl0_2),
% 1.56/0.58 inference(superposition,[],[f240,f266])).
% 1.56/0.58 thf(f240,plain,(
% 1.56/0.58 ( ! [X2 : $i > $o,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))))) | (X2 @ X1)) = $true)) )),
% 1.56/0.58 inference(beta_eta_normalization,[],[f239])).
% 1.56/0.58 thf(f239,plain,(
% 1.56/0.58 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1))))) | (Y0 @ X1))) @ X2) = $true)) )),
% 1.56/0.58 inference(pi_clausification,[],[f238])).
% 1.56/0.58 thf(f238,plain,(
% 1.56/0.58 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1))))) | (Y0 @ X1)))))) )),
% 1.56/0.58 inference(beta_eta_normalization,[],[f237])).
% 1.56/0.58 thf(f237,plain,(
% 1.56/0.58 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2))))) | (Y1 @ Y0))))) @ X1))) )),
% 1.56/0.58 inference(pi_clausification,[],[f224])).
% 1.56/0.58 thf(f224,plain,(
% 1.56/0.58 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2))))) | (Y1 @ Y0)))))) = $true)),
% 1.56/0.58 inference(beta_eta_normalization,[],[f212])).
% 1.56/0.58 thf(f212,plain,(
% 1.56/0.58 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ fool @ Y0) @ Y0)))) = $true)),
% 1.56/0.58 inference(definition_unfolding,[],[f152,f180,f148,f197,f165])).
% 1.56/0.58 thf(f197,plain,(
% 1.56/0.58 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 1.56/0.58 inference(definition_unfolding,[],[f194,f161,f147])).
% 1.56/0.58 thf(f147,plain,(
% 1.56/0.58 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.56/0.58 inference(cnf_transformation,[],[f71])).
% 1.56/0.58 thf(f71,plain,(
% 1.56/0.58 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.56/0.58 inference(fool_elimination,[],[f70])).
% 1.56/0.58 thf(f70,plain,(
% 1.56/0.58 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 1.56/0.58 inference(rectify,[],[f3])).
% 1.56/0.58 thf(f3,axiom,(
% 1.56/0.58 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 1.56/0.58 thf(f161,plain,(
% 1.56/0.58 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 1.56/0.58 inference(cnf_transformation,[],[f94])).
% 1.56/0.58 thf(f94,plain,(
% 1.56/0.58 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 1.56/0.58 inference(fool_elimination,[],[f93])).
% 1.56/0.58 thf(f93,plain,(
% 1.56/0.58 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 1.56/0.58 inference(rectify,[],[f4])).
% 1.56/0.58 thf(f4,axiom,(
% 1.56/0.58 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))) = mor)),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 1.56/0.58 thf(f194,plain,(
% 1.56/0.58 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 1.56/0.58 inference(cnf_transformation,[],[f69])).
% 1.56/0.58 thf(f69,plain,(
% 1.56/0.58 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 1.56/0.58 inference(fool_elimination,[],[f68])).
% 1.56/0.58 thf(f68,plain,(
% 1.56/0.58 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 1.56/0.58 inference(rectify,[],[f6])).
% 1.56/0.58 thf(f6,axiom,(
% 1.56/0.58 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
% 1.56/0.58 thf(f148,plain,(
% 1.56/0.58 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 1.56/0.58 inference(cnf_transformation,[],[f134])).
% 1.56/0.58 thf(f134,plain,(
% 1.56/0.58 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 1.56/0.58 inference(fool_elimination,[],[f133])).
% 1.56/0.58 thf(f133,plain,(
% 1.56/0.58 ((^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))) = mforall_prop)),
% 1.56/0.58 inference(rectify,[],[f11])).
% 1.56/0.58 thf(f11,axiom,(
% 1.56/0.58 ((^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))) = mforall_prop)),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop)).
% 1.56/0.58 thf(f152,plain,(
% 1.56/0.58 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0)))))),
% 1.56/0.58 inference(cnf_transformation,[],[f80])).
% 1.56/0.58 thf(f80,plain,(
% 1.56/0.58 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0)))))),
% 1.56/0.58 inference(fool_elimination,[],[f79])).
% 1.56/0.58 thf(f79,plain,(
% 1.56/0.58 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ fool @ X0) @ X0))))),
% 1.56/0.58 inference(rectify,[],[f43])).
% 1.56/0.58 thf(f43,axiom,(
% 1.56/0.58 (mvalid @ (mforall_prop @ (^[X12 : $i > $o] : (mimplies @ (mbox @ fool @ X12) @ X12))))),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_axiom_for_fool)).
% 1.56/0.58 thf(f263,plain,(
% 1.56/0.58 spl0_1 | spl0_2),
% 1.56/0.58 inference(avatar_split_clause,[],[f256,f261,f258])).
% 1.56/0.58 thf(f256,plain,(
% 1.56/0.58 ( ! [X2 : $i,X1 : $i] : (((~ (fool @ X1 @ X2)) = $true) | ($true = ((c @ spain @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))))) )),
% 1.56/0.58 inference(binary_proxy_clausification,[],[f255])).
% 1.56/0.58 thf(f255,plain,(
% 1.56/0.58 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (fool @ X1 @ X2)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))))))) )),
% 1.56/0.58 inference(beta_eta_normalization,[],[f254])).
% 1.56/0.58 thf(f254,plain,(
% 1.56/0.58 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))) @ X2) = $true)) )),
% 1.56/0.58 inference(pi_clausification,[],[f253])).
% 1.56/0.58 thf(f253,plain,(
% 1.56/0.58 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))))))) = $true)) )),
% 1.56/0.58 inference(beta_eta_normalization,[],[f252])).
% 1.56/0.58 thf(f252,plain,(
% 1.56/0.58 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))))))))) @ X1) = $true)) )),
% 1.56/0.58 inference(pi_clausification,[],[f222])).
% 1.56/0.58 thf(f222,plain,(
% 1.56/0.58 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))))))))))),
% 1.56/0.58 inference(beta_eta_normalization,[],[f215])).
% 1.56/0.58 thf(f215,plain,(
% 1.56/0.58 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ fool @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((c @ Y1 @ Y2) & (~ ((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4))))))) @ Y1 @ Y2)))))) @ spain @ france)))) = $true)),
% 1.56/0.58 inference(definition_unfolding,[],[f178,f180,f165,f208])).
% 1.56/0.58 thf(f178,plain,(
% 1.56/0.58 ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))) = $true)),
% 1.56/0.58 inference(cnf_transformation,[],[f124])).
% 1.56/0.58 thf(f124,plain,(
% 1.56/0.58 ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))) = $true)),
% 1.56/0.58 inference(fool_elimination,[],[f123])).
% 1.56/0.58 thf(f123,plain,(
% 1.56/0.58 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))),
% 1.56/0.58 inference(rectify,[],[f47])).
% 1.56/0.58 thf(f47,axiom,(
% 1.56/0.58 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))),
% 1.56/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)).
% 1.56/0.58 % SZS output end Proof for theBenchmark
% 1.56/0.58 % (29826)------------------------------
% 1.56/0.58 % (29826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.58 % (29826)Termination reason: Refutation
% 1.56/0.58
% 1.56/0.58 % (29826)Memory used [KB]: 6908
% 1.56/0.58 % (29826)Time elapsed: 0.182 s
% 1.56/0.58 % (29826)Instructions burned: 276 (million)
% 1.56/0.58 % (29826)------------------------------
% 1.56/0.58 % (29826)------------------------------
% 1.56/0.58 % (29814)Success in time 0.215 s
% 1.56/0.58 % Vampire---4.8 exiting
%------------------------------------------------------------------------------