TSTP Solution File: GEG006^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEG006^1 : TPTP v8.1.2. 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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:08:20 EDT 2024
% Result : Theorem 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEG006^1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.15 % 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
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:49:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.21/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.jsZeyVRfm1/Vampire---4.8_11546
% 0.21/0.39 % (11744)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.21/0.39 % (11748)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.40 % (11747)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.21/0.40 % (11745)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.40 % (11742)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.21/0.40 % (11745)Instruction limit reached!
% 0.21/0.40 % (11745)------------------------------
% 0.21/0.40 % (11745)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (11745)Termination reason: Unknown
% 0.21/0.40 % (11745)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (11745)Memory used [KB]: 1023
% 0.21/0.40 % (11745)Time elapsed: 0.003 s
% 0.21/0.40 % (11745)Instructions burned: 3 (million)
% 0.21/0.40 % (11745)------------------------------
% 0.21/0.40 % (11745)------------------------------
% 0.21/0.40 % (11743)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.21/0.40 % (11746)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.40 % (11749)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.40 % (11746)Instruction limit reached!
% 0.21/0.40 % (11746)------------------------------
% 0.21/0.40 % (11746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (11746)Termination reason: Unknown
% 0.21/0.40 % (11746)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (11746)Memory used [KB]: 1023
% 0.21/0.40 % (11746)Time elapsed: 0.004 s
% 0.21/0.40 % (11746)Instructions burned: 2 (million)
% 0.21/0.40 % (11746)------------------------------
% 0.21/0.40 % (11746)------------------------------
% 0.21/0.40 % (11749)Instruction limit reached!
% 0.21/0.40 % (11749)------------------------------
% 0.21/0.40 % (11749)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (11749)Termination reason: Unknown
% 0.21/0.40 % (11749)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (11749)Memory used [KB]: 1023
% 0.21/0.40 % (11749)Time elapsed: 0.005 s
% 0.21/0.40 % (11749)Instructions burned: 4 (million)
% 0.21/0.40 % (11749)------------------------------
% 0.21/0.40 % (11749)------------------------------
% 0.21/0.40 % (11743)Instruction limit reached!
% 0.21/0.40 % (11743)------------------------------
% 0.21/0.40 % (11743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (11743)Termination reason: Unknown
% 0.21/0.40 % (11743)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (11743)Memory used [KB]: 1151
% 0.21/0.40 % (11743)Time elapsed: 0.005 s
% 0.21/0.40 % (11743)Instructions burned: 5 (million)
% 0.21/0.40 % (11743)------------------------------
% 0.21/0.40 % (11743)------------------------------
% 0.21/0.40 % (11744)Instruction limit reached!
% 0.21/0.40 % (11744)------------------------------
% 0.21/0.40 % (11744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (11744)Termination reason: Unknown
% 0.21/0.40 % (11744)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (11744)Memory used [KB]: 5756
% 0.21/0.40 % (11744)Time elapsed: 0.015 s
% 0.21/0.40 % (11744)Instructions burned: 27 (million)
% 0.21/0.40 % (11744)------------------------------
% 0.21/0.40 % (11744)------------------------------
% 0.21/0.40 % (11748)Instruction limit reached!
% 0.21/0.40 % (11748)------------------------------
% 0.21/0.40 % (11748)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (11748)Termination reason: Unknown
% 0.21/0.40 % (11748)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (11748)Memory used [KB]: 5628
% 0.21/0.40 % (11748)Time elapsed: 0.011 s
% 0.21/0.40 % (11748)Instructions burned: 19 (million)
% 0.21/0.40 % (11748)------------------------------
% 0.21/0.40 % (11748)------------------------------
% 0.21/0.40 % (11747)Refutation not found, incomplete strategy
% 0.21/0.40 % (11747)------------------------------
% 0.21/0.40 % (11747)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (11747)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.40
% 0.21/0.40
% 0.21/0.40 % (11747)Memory used [KB]: 5628
% 0.21/0.40 % (11747)Time elapsed: 0.009 s
% 0.21/0.40 % (11747)Instructions burned: 16 (million)
% 0.21/0.40 % (11747)------------------------------
% 0.21/0.40 % (11747)------------------------------
% 0.21/0.41 % (11752)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.21/0.41 % (11754)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.21/0.42 % (11756)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.21/0.42 % (11757)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.42 % (11755)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.42 % (11755)Instruction limit reached!
% 0.21/0.42 % (11755)------------------------------
% 0.21/0.42 % (11755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (11755)Termination reason: Unknown
% 0.21/0.42 % (11755)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (11755)Memory used [KB]: 1023
% 0.21/0.42 % (11755)Time elapsed: 0.003 s
% 0.21/0.42 % (11755)Instructions burned: 4 (million)
% 0.21/0.42 % (11755)------------------------------
% 0.21/0.42 % (11755)------------------------------
% 0.21/0.42 % (11758)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.21/0.42 % (11757)Instruction limit reached!
% 0.21/0.42 % (11757)------------------------------
% 0.21/0.42 % (11757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (11757)Termination reason: Unknown
% 0.21/0.42 % (11757)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (11757)Memory used [KB]: 1151
% 0.21/0.42 % (11757)Time elapsed: 0.005 s
% 0.21/0.42 % (11757)Instructions burned: 7 (million)
% 0.21/0.42 % (11757)------------------------------
% 0.21/0.42 % (11757)------------------------------
% 0.21/0.42 % (11759)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.42 % (11759)Instruction limit reached!
% 0.21/0.42 % (11759)------------------------------
% 0.21/0.42 % (11759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (11759)Termination reason: Unknown
% 0.21/0.42 % (11759)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (11759)Memory used [KB]: 1151
% 0.21/0.42 % (11759)Time elapsed: 0.004 s
% 0.21/0.42 % (11759)Instructions burned: 4 (million)
% 0.21/0.42 % (11759)------------------------------
% 0.21/0.42 % (11759)------------------------------
% 0.21/0.42 % (11754)Instruction limit reached!
% 0.21/0.42 % (11754)------------------------------
% 0.21/0.42 % (11754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (11754)Termination reason: Unknown
% 0.21/0.42 % (11754)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (11754)Memory used [KB]: 1151
% 0.21/0.42 % (11754)Time elapsed: 0.009 s
% 0.21/0.42 % (11754)Instructions burned: 15 (million)
% 0.21/0.42 % (11754)------------------------------
% 0.21/0.42 % (11754)------------------------------
% 0.21/0.43 % (11758)Instruction limit reached!
% 0.21/0.43 % (11758)------------------------------
% 0.21/0.43 % (11758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (11758)Termination reason: Unknown
% 0.21/0.43 % (11758)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (11758)Memory used [KB]: 5628
% 0.21/0.43 % (11758)Time elapsed: 0.010 s
% 0.21/0.43 % (11758)Instructions burned: 17 (million)
% 0.21/0.43 % (11758)------------------------------
% 0.21/0.43 % (11758)------------------------------
% 0.21/0.43 % (11752)Instruction limit reached!
% 0.21/0.43 % (11752)------------------------------
% 0.21/0.43 % (11752)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (11752)Termination reason: Unknown
% 0.21/0.43 % (11752)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (11752)Memory used [KB]: 5884
% 0.21/0.43 % (11752)Time elapsed: 0.020 s
% 0.21/0.43 % (11752)Instructions burned: 38 (million)
% 0.21/0.43 % (11762)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.43 % (11752)------------------------------
% 0.21/0.43 % (11752)------------------------------
% 0.21/0.43 % (11763)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.43 % (11762)Instruction limit reached!
% 0.21/0.43 % (11762)------------------------------
% 0.21/0.43 % (11762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (11762)Termination reason: Unknown
% 0.21/0.43 % (11762)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (11762)Memory used [KB]: 1151
% 0.21/0.43 % (11762)Time elapsed: 0.003 s
% 0.21/0.43 % (11762)Instructions burned: 4 (million)
% 0.21/0.43 % (11762)------------------------------
% 0.21/0.43 % (11762)------------------------------
% 0.21/0.43 % (11764)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.43 % (11766)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.21/0.43 % (11764)Instruction limit reached!
% 0.21/0.43 % (11764)------------------------------
% 0.21/0.43 % (11764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (11763)Instruction limit reached!
% 0.21/0.43 % (11763)------------------------------
% 0.21/0.43 % (11763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (11764)Termination reason: Unknown
% 0.21/0.43 % (11764)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (11764)Memory used [KB]: 1151
% 0.21/0.43 % (11764)Time elapsed: 0.003 s
% 0.21/0.43 % (11764)Instructions burned: 5 (million)
% 0.21/0.43 % (11764)------------------------------
% 0.21/0.43 % (11764)------------------------------
% 0.21/0.43 % (11763)Termination reason: Unknown
% 0.21/0.43 % (11763)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (11763)Memory used [KB]: 1151
% 0.21/0.43 % (11763)Time elapsed: 0.004 s
% 0.21/0.43 % (11763)Instructions burned: 8 (million)
% 0.21/0.43 % (11763)------------------------------
% 0.21/0.43 % (11763)------------------------------
% 0.21/0.43 % (11766)Instruction limit reached!
% 0.21/0.43 % (11766)------------------------------
% 0.21/0.43 % (11766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (11766)Termination reason: Unknown
% 0.21/0.43 % (11766)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (11766)Memory used [KB]: 1023
% 0.21/0.43 % (11766)Time elapsed: 0.002 s
% 0.21/0.43 % (11766)Instructions burned: 4 (million)
% 0.21/0.43 % (11766)------------------------------
% 0.21/0.43 % (11766)------------------------------
% 0.21/0.43 % (11768)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.44 % (11770)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.21/0.44 % (11771)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.21/0.44 % (11771)Instruction limit reached!
% 0.21/0.44 % (11771)------------------------------
% 0.21/0.44 % (11771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (11771)Termination reason: Unknown
% 0.21/0.44 % (11771)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (11771)Memory used [KB]: 1151
% 0.21/0.44 % (11771)Time elapsed: 0.003 s
% 0.21/0.44 % (11771)Instructions burned: 7 (million)
% 0.21/0.44 % (11771)------------------------------
% 0.21/0.44 % (11771)------------------------------
% 0.21/0.44 % (11768)Instruction limit reached!
% 0.21/0.44 % (11768)------------------------------
% 0.21/0.44 % (11768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (11768)Termination reason: Unknown
% 0.21/0.44 % (11768)Termination phase: Saturation
% 0.21/0.44 % (11772)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on Vampire---4 for (2999ds/902Mi)
% 0.21/0.44
% 0.21/0.44 % (11768)Memory used [KB]: 5756
% 0.21/0.44 % (11768)Time elapsed: 0.008 s
% 0.21/0.44 % (11768)Instructions burned: 20 (million)
% 0.21/0.44 % (11768)------------------------------
% 0.21/0.44 % (11768)------------------------------
% 0.21/0.44 % (11773)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2999ds/21Mi)
% 0.21/0.44 % (11774)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.21/0.44 % (11774)Instruction limit reached!
% 0.21/0.44 % (11774)------------------------------
% 0.21/0.44 % (11774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (11774)Termination reason: Unknown
% 0.21/0.44 % (11774)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (11774)Memory used [KB]: 1151
% 0.21/0.44 % (11774)Time elapsed: 0.003 s
% 0.21/0.44 % (11774)Instructions burned: 7 (million)
% 0.21/0.44 % (11774)------------------------------
% 0.21/0.44 % (11774)------------------------------
% 0.21/0.45 % (11772)Refutation not found, incomplete strategy
% 0.21/0.45 % (11772)------------------------------
% 0.21/0.45 % (11772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (11772)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % (11772)Memory used [KB]: 5628
% 0.21/0.45 % (11772)Time elapsed: 0.005 s
% 0.21/0.45 % (11772)Instructions burned: 10 (million)
% 0.21/0.45 % (11772)------------------------------
% 0.21/0.45 % (11772)------------------------------
% 0.21/0.45 % (11756)First to succeed.
% 0.21/0.45 % (11773)Instruction limit reached!
% 0.21/0.45 % (11773)------------------------------
% 0.21/0.45 % (11773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (11773)Termination reason: Unknown
% 0.21/0.45 % (11773)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (11773)Memory used [KB]: 5756
% 0.21/0.45 % (11773)Time elapsed: 0.007 s
% 0.21/0.45 % (11773)Instructions burned: 21 (million)
% 0.21/0.45 % (11773)------------------------------
% 0.21/0.45 % (11773)------------------------------
% 0.21/0.45 % (11775)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.21/0.45 % (11776)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.21/0.45 % (11775)Instruction limit reached!
% 0.21/0.45 % (11775)------------------------------
% 0.21/0.45 % (11775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (11775)Termination reason: Unknown
% 0.21/0.45 % (11775)Termination phase: SInE selection
% 0.21/0.45
% 0.21/0.45 % (11775)Memory used [KB]: 1151
% 0.21/0.45 % (11775)Time elapsed: 0.003 s
% 0.21/0.45 % (11775)Instructions burned: 7 (million)
% 0.21/0.45 % (11775)------------------------------
% 0.21/0.45 % (11775)------------------------------
% 0.21/0.45 % (11756)Refutation found. Thanks to Tanya!
% 0.21/0.45 % SZS status Theorem for Vampire---4
% 0.21/0.45 % SZS output start Proof for Vampire---4
% 0.21/0.45 thf(type_def_5, type, mu: $tType).
% 0.21/0.45 thf(type_def_7, type, reg: $tType).
% 0.21/0.45 thf(func_def_0, type, mu: $tType).
% 0.21/0.45 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.21/0.45 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.45 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.21/0.45 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.45 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.45 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.45 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.45 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.45 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.45 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.21/0.45 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.21/0.45 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.21/0.45 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.21/0.45 thf(func_def_15, type, mtrue: $i > $o).
% 0.21/0.45 thf(func_def_16, type, mfalse: $i > $o).
% 0.21/0.45 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.45 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.45 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.21/0.45 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.21/0.45 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.21/0.45 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.21/0.45 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.21/0.45 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.21/0.45 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.21/0.45 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.21/0.45 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.21/0.45 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.21/0.45 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.21/0.45 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.21/0.45 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.21/0.45 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.21/0.45 thf(func_def_33, type, reg: $tType).
% 0.21/0.45 thf(func_def_34, type, c: reg > reg > $o).
% 0.21/0.45 thf(func_def_35, type, dc: reg > reg > $o).
% 0.21/0.45 thf(func_def_36, type, p: reg > reg > $o).
% 0.21/0.45 thf(func_def_37, type, eq: reg > reg > $o).
% 0.21/0.45 thf(func_def_38, type, o: reg > reg > $o).
% 0.21/0.45 thf(func_def_39, type, po: reg > reg > $o).
% 0.21/0.45 thf(func_def_40, type, ec: reg > reg > $o).
% 0.21/0.45 thf(func_def_41, type, pp: reg > reg > $o).
% 0.21/0.45 thf(func_def_42, type, tpp: reg > reg > $o).
% 0.21/0.45 thf(func_def_43, type, ntpp: reg > reg > $o).
% 0.21/0.45 thf(func_def_44, type, catalunya: reg).
% 0.21/0.45 thf(func_def_45, type, france: reg).
% 0.21/0.45 thf(func_def_46, type, spain: reg).
% 0.21/0.45 thf(func_def_47, type, paris: reg).
% 0.21/0.45 thf(func_def_48, type, a: $i > $i > $o).
% 0.21/0.45 thf(func_def_49, type, fool: $i > $i > $o).
% 0.21/0.45 thf(func_def_66, type, ph1: !>[X0: $tType]:(X0)).
% 0.21/0.45 thf(func_def_70, type, sK5: reg).
% 0.21/0.45 thf(f446,plain,(
% 0.21/0.45 $false),
% 0.21/0.45 inference(avatar_sat_refutation,[],[f318,f372,f414,f445])).
% 0.21/0.45 thf(f445,plain,(
% 0.21/0.45 ~spl0_4),
% 0.21/0.45 inference(avatar_contradiction_clause,[],[f444])).
% 0.21/0.45 thf(f444,plain,(
% 0.21/0.45 $false | ~spl0_4),
% 0.21/0.45 inference(trivial_inequality_removal,[],[f443])).
% 0.21/0.45 thf(f443,plain,(
% 0.21/0.45 ($true = $false) | ~spl0_4),
% 0.21/0.45 inference(beta_eta_normalization,[],[f442])).
% 0.21/0.45 thf(f442,plain,(
% 0.21/0.45 (((^[Y0 : reg]: ($true)) @ sK5) = $false) | ~spl0_4),
% 0.21/0.45 inference(sigma_clausification,[],[f441])).
% 0.21/0.45 thf(f441,plain,(
% 0.21/0.45 ((!! @ reg @ (^[Y0 : reg]: ($true))) = $false) | ~spl0_4),
% 0.21/0.45 inference(boolean_simplification,[],[f440])).
% 0.21/0.45 thf(f440,plain,(
% 0.21/0.45 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ catalunya)))) = $false) | ~spl0_4),
% 0.21/0.45 inference(boolean_simplification,[],[f439])).
% 0.21/0.45 thf(f439,plain,(
% 0.21/0.45 (($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ catalunya))))) = $false) | ~spl0_4),
% 0.21/0.45 inference(superposition,[],[f431,f348])).
% 0.21/0.45 thf(f348,plain,(
% 0.21/0.45 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))),
% 0.21/0.45 inference(binary_proxy_clausification,[],[f342])).
% 0.21/0.45 thf(f342,plain,(
% 0.21/0.45 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) = $true)),
% 0.21/0.45 inference(binary_proxy_clausification,[],[f336])).
% 0.21/0.45 thf(f336,plain,(
% 0.21/0.45 ($true = (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) & (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))))),
% 0.21/0.45 inference(boolean_simplification,[],[f335])).
% 0.21/0.45 thf(f335,plain,(
% 0.21/0.45 (($false | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) & (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))))) = $true)),
% 0.21/0.45 inference(boolean_simplification,[],[f332])).
% 0.21/0.45 thf(f332,plain,(
% 0.21/0.45 ($true = ((~ $true) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) & (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))))))),
% 0.21/0.45 inference(superposition,[],[f329,f308])).
% 0.21/0.45 thf(f308,plain,(
% 0.21/0.45 ($true = (a @ sK2 @ sK3))),
% 0.21/0.45 inference(not_proxy_clausification,[],[f296])).
% 0.21/0.45 thf(f296,plain,(
% 0.21/0.45 ((~ (a @ sK2 @ sK3)) = $false)),
% 0.21/0.45 inference(binary_proxy_clausification,[],[f294])).
% 0.21/0.45 thf(f294,plain,(
% 0.21/0.45 (((~ (a @ sK2 @ sK3)) | ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))))) = $false)),
% 0.21/0.45 inference(beta_eta_normalization,[],[f293])).
% 0.21/0.45 thf(f293,plain,(
% 0.21/0.45 (((^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))))) @ sK3) = $false)),
% 0.21/0.45 inference(sigma_clausification,[],[f292])).
% 0.21/0.45 thf(f292,plain,(
% 0.21/0.45 ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))))))) = $false)),
% 0.21/0.45 inference(beta_eta_normalization,[],[f291])).
% 0.21/0.45 thf(f291,plain,(
% 0.21/0.45 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))))))) @ sK2) = $false)),
% 0.21/0.45 inference(sigma_clausification,[],[f288])).
% 0.21/0.45 thf(f288,plain,(
% 0.21/0.45 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))))))))) = $false)),
% 0.21/0.45 inference(not_proxy_clausification,[],[f220])).
% 0.21/0.45 thf(f220,plain,(
% 0.21/0.45 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))))))))) = $true)),
% 0.21/0.45 inference(beta_eta_normalization,[],[f213])).
% 0.21/0.45 thf(f213,plain,(
% 0.21/0.45 ((~ ((^[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]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2) & ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y1))))))) @ france @ paris) & ((^[Y1 : reg]: ((^[Y2 : reg]: (?? @ 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))))))) @ Y3 @ Y1))))))) @ catalunya @ spain)))))) = $true)),
% 0.21/0.45 inference(definition_unfolding,[],[f157,f193,f151,f206,f206])).
% 0.21/0.45 thf(f206,plain,(
% 0.21/0.45 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0))))))))),
% 0.21/0.45 inference(definition_unfolding,[],[f163,f155,f155])).
% 0.21/0.45 thf(f155,plain,(
% 0.21/0.45 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.21/0.45 inference(cnf_transformation,[],[f111])).
% 0.21/0.45 thf(f111,plain,(
% 0.21/0.45 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.21/0.45 inference(fool_elimination,[],[f110])).
% 0.21/0.45 thf(f110,plain,(
% 0.21/0.45 (p = (^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))))),
% 0.21/0.45 inference(rectify,[],[f35])).
% 0.21/0.45 thf(f35,axiom,(
% 0.21/0.45 (p = (^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))))),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/tmp.jsZeyVRfm1/Vampire---4.8_11546',p)).
% 0.21/0.45 thf(f163,plain,(
% 0.21/0.45 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))),
% 0.21/0.45 inference(cnf_transformation,[],[f124])).
% 0.21/0.45 thf(f124,plain,(
% 0.21/0.45 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))),
% 0.21/0.45 inference(fool_elimination,[],[f123])).
% 0.21/0.45 thf(f123,plain,(
% 0.21/0.45 ((^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X0) & (p @ X2 @ X1)))) = o)),
% 0.21/0.45 inference(rectify,[],[f37])).
% 0.21/0.45 thf(f37,axiom,(
% 0.21/0.45 ((^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X0) & (p @ X11 @ X1)))) = o)),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/tmp.jsZeyVRfm1/Vampire---4.8_11546',o)).
% 0.21/0.45 thf(f151,plain,(
% 0.21/0.45 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.21/0.45 inference(cnf_transformation,[],[f81])).
% 0.21/0.45 thf(f81,plain,(
% 0.21/0.45 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.21/0.45 inference(fool_elimination,[],[f80])).
% 0.21/0.45 thf(f80,plain,(
% 0.21/0.45 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox)),
% 0.21/0.45 inference(rectify,[],[f16])).
% 0.21/0.45 thf(f16,axiom,(
% 0.21/0.45 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox)),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/tmp.jsZeyVRfm1/Vampire---4.8_11546',mbox)).
% 0.21/0.45 thf(f193,plain,(
% 0.21/0.45 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.45 inference(cnf_transformation,[],[f61])).
% 0.21/0.45 thf(f61,plain,(
% 0.21/0.45 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.45 inference(fool_elimination,[],[f60])).
% 0.21/0.45 thf(f60,plain,(
% 0.21/0.45 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.21/0.45 inference(rectify,[],[f28])).
% 0.21/0.45 thf(f28,axiom,(
% 0.21/0.45 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/tmp.jsZeyVRfm1/Vampire---4.8_11546',mvalid)).
% 0.21/0.45 thf(f157,plain,(
% 0.21/0.45 ($true = (~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: ((o @ france @ paris) & (o @ catalunya @ spain)))))))),
% 0.21/0.45 inference(cnf_transformation,[],[f128])).
% 0.21/0.45 thf(f128,plain,(
% 0.21/0.45 ($true = (~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: ((o @ france @ paris) & (o @ catalunya @ spain)))))))),
% 0.21/0.45 inference(fool_elimination,[],[f127])).
% 0.21/0.45 thf(f127,plain,(
% 0.21/0.45 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : ((o @ catalunya @ spain) & (o @ france @ paris)))))),
% 0.21/0.45 inference(rectify,[],[f50])).
% 0.21/0.45 thf(f50,negated_conjecture,(
% 0.21/0.45 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : ((o @ catalunya @ spain) & (o @ france @ paris)))))),
% 0.21/0.45 inference(negated_conjecture,[],[f49])).
% 0.21/0.45 thf(f49,conjecture,(
% 0.21/0.45 (mvalid @ (mbox @ a @ (^[X0 : $i] : ((o @ catalunya @ spain) & (o @ france @ paris)))))),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/tmp.jsZeyVRfm1/Vampire---4.8_11546',con)).
% 0.21/0.45 thf(f329,plain,(
% 0.21/0.45 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (a @ X1 @ X2)) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) & (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))))))) )),
% 0.21/0.45 inference(beta_eta_normalization,[],[f328])).
% 0.21/0.45 thf(f328,plain,(
% 0.21/0.45 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya)))))) & (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))))) @ X2))) )),
% 0.21/0.45 inference(pi_clausification,[],[f327])).
% 0.21/0.45 thf(f327,plain,(
% 0.21/0.45 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya)))))) & (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))))))))))))) )),
% 0.21/0.45 inference(beta_eta_normalization,[],[f326])).
% 0.21/0.45 thf(f326,plain,(
% 0.21/0.45 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya)))))) & (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))))))) @ X1))) )),
% 0.21/0.45 inference(pi_clausification,[],[f222])).
% 0.21/0.45 thf(f222,plain,(
% 0.21/0.45 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya)))))) & (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))))))))))))))),
% 0.21/0.45 inference(beta_eta_normalization,[],[f217])).
% 0.21/0.45 thf(f217,plain,(
% 0.21/0.45 ($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]: ((^[Y1 : reg]: ((^[Y2 : reg]: (((^[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) & (?? @ 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 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)))))) @ Y3 @ Y2) & ((^[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 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)))))) @ Y3 @ Y1)))))))) @ catalunya @ spain)))))),
% 0.21/0.45 inference(definition_unfolding,[],[f190,f193,f151,f210])).
% 0.21/0.45 thf(f210,plain,(
% 0.21/0.45 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[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) & (?? @ 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 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)))))) @ Y2 @ Y1) & ((^[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 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)))))) @ Y2 @ Y0)))))))))),
% 0.21/0.45 inference(definition_unfolding,[],[f179,f209,f208,f208])).
% 0.21/0.45 thf(f208,plain,(
% 0.21/0.45 (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 @ Y3) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2))))))) @ Y0 @ Y1)))))))),
% 0.21/0.45 inference(definition_unfolding,[],[f183,f206])).
% 0.21/0.45 thf(f183,plain,(
% 0.21/0.45 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
% 0.21/0.45 inference(cnf_transformation,[],[f144])).
% 0.21/0.45 thf(f144,plain,(
% 0.21/0.45 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
% 0.21/0.45 inference(fool_elimination,[],[f143])).
% 0.21/0.45 thf(f143,plain,(
% 0.21/0.45 (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
% 0.21/0.45 inference(rectify,[],[f39])).
% 0.21/0.45 thf(f39,axiom,(
% 0.21/0.45 (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/tmp.jsZeyVRfm1/Vampire---4.8_11546',ec)).
% 0.21/0.45 thf(f209,plain,(
% 0.21/0.45 (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)))))))),
% 0.21/0.45 inference(definition_unfolding,[],[f181,f155,f155])).
% 0.21/0.45 thf(f181,plain,(
% 0.21/0.45 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 0.21/0.45 inference(cnf_transformation,[],[f87])).
% 0.21/0.45 thf(f87,plain,(
% 0.21/0.45 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 0.21/0.45 inference(fool_elimination,[],[f86])).
% 0.21/0.45 thf(f86,plain,(
% 0.21/0.45 ((^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))) = pp)),
% 0.21/0.45 inference(rectify,[],[f40])).
% 0.21/0.45 thf(f40,axiom,(
% 0.21/0.45 ((^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))) = pp)),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/tmp.jsZeyVRfm1/Vampire---4.8_11546',pp)).
% 0.21/0.45 thf(f179,plain,(
% 0.21/0.45 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0)))))))))),
% 0.21/0.45 inference(cnf_transformation,[],[f120])).
% 0.21/0.45 thf(f120,plain,(
% 0.21/0.45 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0)))))))))),
% 0.21/0.45 inference(fool_elimination,[],[f119])).
% 0.21/0.45 thf(f119,plain,(
% 0.21/0.45 (tpp = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((ec @ X2 @ X0) & (ec @ X2 @ X1)) & (pp @ X0 @ X1))))),
% 0.21/0.45 inference(rectify,[],[f41])).
% 0.21/0.45 thf(f41,axiom,(
% 0.21/0.45 (tpp = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((ec @ X11 @ X0) & (ec @ X11 @ X1)) & (pp @ X0 @ X1))))),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/tmp.jsZeyVRfm1/Vampire---4.8_11546',tpp)).
% 0.21/0.45 thf(f190,plain,(
% 0.21/0.45 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
% 0.21/0.45 inference(cnf_transformation,[],[f146])).
% 0.21/0.45 thf(f146,plain,(
% 0.21/0.45 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
% 0.21/0.45 inference(fool_elimination,[],[f145])).
% 0.21/0.45 thf(f145,plain,(
% 0.21/0.45 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 0.21/0.45 inference(rectify,[],[f46])).
% 0.21/0.45 thf(f46,axiom,(
% 0.21/0.45 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/tmp.jsZeyVRfm1/Vampire---4.8_11546',ax1)).
% 0.21/0.45 thf(f431,plain,(
% 0.21/0.45 ( ! [X1 : reg] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ catalunya))))) = $false)) ) | ~spl0_4),
% 0.21/0.45 inference(beta_eta_normalization,[],[f430])).
% 0.21/0.45 thf(f430,plain,(
% 0.21/0.45 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))) @ X1) = $false)) ) | ~spl0_4),
% 0.21/0.45 inference(pi_clausification,[],[f317])).
% 0.21/0.45 thf(f317,plain,(
% 0.21/0.45 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))) = $false) | ~spl0_4),
% 0.21/0.45 inference(avatar_component_clause,[],[f316])).
% 0.21/0.45 thf(f316,plain,(
% 0.21/0.45 spl0_4 <=> ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))) = $false)),
% 0.21/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.21/0.45 thf(f414,plain,(
% 0.21/0.45 ~spl0_3 | ~spl0_6),
% 0.21/0.45 inference(avatar_contradiction_clause,[],[f413])).
% 0.21/0.45 thf(f413,plain,(
% 0.21/0.45 $false | (~spl0_3 | ~spl0_6)),
% 0.21/0.45 inference(trivial_inequality_removal,[],[f412])).
% 0.21/0.45 thf(f412,plain,(
% 0.21/0.45 ($true = $false) | (~spl0_3 | ~spl0_6)),
% 0.21/0.45 inference(beta_eta_normalization,[],[f411])).
% 0.21/0.45 thf(f411,plain,(
% 0.21/0.45 (((^[Y0 : reg]: ($true)) @ sK5) = $false) | (~spl0_3 | ~spl0_6)),
% 0.21/0.45 inference(sigma_clausification,[],[f408])).
% 0.21/0.45 thf(f408,plain,(
% 0.21/0.45 ((!! @ reg @ (^[Y0 : reg]: ($true))) = $false) | (~spl0_3 | ~spl0_6)),
% 0.21/0.45 inference(boolean_simplification,[],[f407])).
% 0.21/0.45 thf(f407,plain,(
% 0.21/0.45 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ paris)))) = $false) | (~spl0_3 | ~spl0_6)),
% 0.21/0.45 inference(boolean_simplification,[],[f406])).
% 0.21/0.45 thf(f406,plain,(
% 0.21/0.45 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ paris)))) & $true) = $false) | (~spl0_3 | ~spl0_6)),
% 0.21/0.45 inference(superposition,[],[f324,f397])).
% 0.21/0.45 thf(f397,plain,(
% 0.21/0.45 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) | ~spl0_6),
% 0.21/0.45 inference(boolean_simplification,[],[f396])).
% 0.21/0.45 thf(f396,plain,(
% 0.21/0.45 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & $true)) | ~spl0_6),
% 0.21/0.45 inference(backward_demodulation,[],[f387,f394])).
% 0.21/0.45 thf(f394,plain,(
% 0.21/0.45 ($true = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) | ~spl0_6),
% 0.21/0.45 inference(binary_proxy_clausification,[],[f387])).
% 0.21/0.45 thf(f387,plain,(
% 0.21/0.45 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))) | ~spl0_6),
% 0.21/0.45 inference(boolean_simplification,[],[f386])).
% 0.21/0.45 thf(f386,plain,(
% 0.21/0.45 (($true & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))) = $true) | ~spl0_6),
% 0.21/0.45 inference(backward_demodulation,[],[f369,f385])).
% 0.21/0.45 thf(f385,plain,(
% 0.21/0.45 ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) = $true) | ~spl0_6),
% 0.21/0.45 inference(binary_proxy_clausification,[],[f369])).
% 0.21/0.45 thf(f369,plain,(
% 0.21/0.45 ($true = ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))))) | ~spl0_6),
% 0.21/0.45 inference(avatar_component_clause,[],[f368])).
% 0.21/0.45 thf(f368,plain,(
% 0.21/0.45 spl0_6 <=> ($true = ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))))),
% 0.21/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.21/0.45 thf(f324,plain,(
% 0.21/0.45 ( ! [X1 : reg] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ paris)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france))))) = $false)) ) | ~spl0_3),
% 0.21/0.45 inference(beta_eta_normalization,[],[f323])).
% 0.21/0.45 thf(f323,plain,(
% 0.21/0.45 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) @ X1) = $false)) ) | ~spl0_3),
% 0.21/0.45 inference(pi_clausification,[],[f314])).
% 0.21/0.45 thf(f314,plain,(
% 0.21/0.45 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) = $false) | ~spl0_3),
% 0.21/0.45 inference(avatar_component_clause,[],[f313])).
% 0.21/0.45 thf(f313,plain,(
% 0.21/0.45 spl0_3 <=> ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) = $false)),
% 0.21/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.21/0.45 thf(f372,plain,(
% 0.21/0.45 spl0_6),
% 0.21/0.45 inference(avatar_split_clause,[],[f361,f368])).
% 0.21/0.45 thf(f361,plain,(
% 0.21/0.45 ($true = ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))))),
% 0.21/0.45 inference(boolean_simplification,[],[f360])).
% 0.21/0.45 thf(f360,plain,(
% 0.21/0.45 ($true = ($false | ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))))))),
% 0.21/0.45 inference(boolean_simplification,[],[f358])).
% 0.21/0.45 thf(f358,plain,(
% 0.21/0.45 (((~ $true) | ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))))) = $true)),
% 0.21/0.45 inference(superposition,[],[f352,f303])).
% 0.21/0.45 thf(f303,plain,(
% 0.21/0.45 ($true = (a @ sK2 @ sK4))),
% 0.21/0.45 inference(not_proxy_clausification,[],[f302])).
% 0.21/0.45 thf(f302,plain,(
% 0.21/0.45 ((~ (a @ sK2 @ sK4)) = $false)),
% 0.21/0.45 inference(beta_eta_normalization,[],[f301])).
% 0.21/0.45 thf(f301,plain,(
% 0.21/0.45 (((^[Y0 : $i]: (~ (a @ sK2 @ Y0))) @ sK4) = $false)),
% 0.21/0.45 inference(sigma_clausification,[],[f300])).
% 0.21/0.45 thf(f300,plain,(
% 0.21/0.45 ((!! @ $i @ (^[Y0 : $i]: (~ (a @ sK2 @ Y0)))) = $false)),
% 0.21/0.45 inference(boolean_simplification,[],[f299])).
% 0.21/0.45 thf(f299,plain,(
% 0.21/0.45 ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | $false))) = $false)),
% 0.21/0.45 inference(backward_demodulation,[],[f292,f298])).
% 0.21/0.45 thf(f298,plain,(
% 0.21/0.45 (((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))))) = $false)),
% 0.21/0.45 inference(boolean_simplification,[],[f297])).
% 0.21/0.45 thf(f297,plain,(
% 0.21/0.45 (($false | ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))))) = $false)),
% 0.21/0.45 inference(backward_demodulation,[],[f294,f296])).
% 0.21/0.45 thf(f352,plain,(
% 0.21/0.45 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (a @ X1 @ X2)) | ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))))))) )),
% 0.21/0.45 inference(beta_eta_normalization,[],[f351])).
% 0.21/0.45 thf(f351,plain,(
% 0.21/0.45 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))))))) @ X2))) )),
% 0.21/0.45 inference(pi_clausification,[],[f346])).
% 0.21/0.45 thf(f346,plain,(
% 0.21/0.45 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))))))))) )),
% 0.21/0.45 inference(beta_eta_normalization,[],[f345])).
% 0.21/0.45 thf(f345,plain,(
% 0.21/0.45 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))))))))) @ X1))) )),
% 0.21/0.45 inference(pi_clausification,[],[f223])).
% 0.21/0.45 thf(f223,plain,(
% 0.21/0.45 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))))))))))),
% 0.21/0.45 inference(beta_eta_normalization,[],[f215])).
% 0.21/0.45 thf(f215,plain,(
% 0.21/0.45 ($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]: ((^[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 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)))))) @ Y3 @ Y2) & ((^[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 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)))))) @ Y3 @ Y1))))) & ((^[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)))))),
% 0.21/0.45 inference(definition_unfolding,[],[f178,f193,f151,f211])).
% 0.21/0.45 thf(f211,plain,(
% 0.21/0.45 (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 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)))))) @ Y2 @ Y1) & ((^[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 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)))))) @ Y2 @ Y0))))) & ((^[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))))))),
% 0.21/0.45 inference(definition_unfolding,[],[f147,f208,f208,f209])).
% 0.21/0.45 thf(f147,plain,(
% 0.21/0.45 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0))))) & (pp @ Y0 @ Y1))))))),
% 0.21/0.45 inference(cnf_transformation,[],[f103])).
% 0.21/0.45 thf(f103,plain,(
% 0.21/0.45 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0))))) & (pp @ Y0 @ Y1))))))),
% 0.21/0.45 inference(fool_elimination,[],[f102])).
% 0.21/0.45 thf(f102,plain,(
% 0.21/0.45 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X2 : reg] : ((ec @ X2 @ X0) & (ec @ X2 @ X1)))) = ntpp)),
% 0.21/0.45 inference(rectify,[],[f42])).
% 0.21/0.45 thf(f42,axiom,(
% 0.21/0.45 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X11 : reg] : ((ec @ X11 @ X0) & (ec @ X11 @ X1)))) = ntpp)),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/tmp.jsZeyVRfm1/Vampire---4.8_11546',ntpp)).
% 0.21/0.45 thf(f178,plain,(
% 0.21/0.45 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
% 0.21/0.45 inference(cnf_transformation,[],[f83])).
% 0.21/0.45 thf(f83,plain,(
% 0.21/0.45 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
% 0.21/0.45 inference(fool_elimination,[],[f82])).
% 0.21/0.45 thf(f82,plain,(
% 0.21/0.45 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 0.21/0.45 inference(rectify,[],[f48])).
% 0.21/0.45 thf(f48,axiom,(
% 0.21/0.45 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/tmp.jsZeyVRfm1/Vampire---4.8_11546',ax3)).
% 0.21/0.45 thf(f318,plain,(
% 0.21/0.45 spl0_3 | spl0_4),
% 0.21/0.45 inference(avatar_split_clause,[],[f311,f316,f313])).
% 0.21/0.45 thf(f311,plain,(
% 0.21/0.45 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))) = $false) | ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) = $false)),
% 0.21/0.45 inference(binary_proxy_clausification,[],[f298])).
% 0.21/0.45 % SZS output end Proof for Vampire---4
% 0.21/0.45 % (11756)------------------------------
% 0.21/0.45 % (11756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (11756)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (11756)Memory used [KB]: 6140
% 0.21/0.45 % (11756)Time elapsed: 0.037 s
% 0.21/0.45 % (11756)Instructions burned: 77 (million)
% 0.21/0.45 % (11756)------------------------------
% 0.21/0.45 % (11756)------------------------------
% 0.21/0.45 % (11739)Success in time 0.085 s
% 0.21/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------