TSTP Solution File: GEG020^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEG020^1 : 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 05:08:22 EDT 2024
% Result : Theorem 1.45s 0.57s
% Output : Refutation 1.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEG020^1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.15 % 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
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 19:50:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.SYfwvESB4i/Vampire---4.8_13489
% 0.14/0.38 % (13598)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)
% 0.14/0.38 % (13599)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)
% 0.14/0.38 % (13602)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)
% 0.14/0.38 % (13600)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (13603)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.38 % (13600)Instruction limit reached!
% 0.14/0.38 % (13600)------------------------------
% 0.14/0.38 % (13600)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (13600)Termination reason: Unknown
% 0.14/0.38 % (13600)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (13600)Memory used [KB]: 1023
% 0.14/0.38 % (13600)Time elapsed: 0.003 s
% 0.14/0.39 % (13600)Instructions burned: 2 (million)
% 0.14/0.39 % (13600)------------------------------
% 0.14/0.39 % (13600)------------------------------
% 0.14/0.39 % (13601)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)
% 0.14/0.39 % (13604)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)
% 0.14/0.39 % (13598)Instruction limit reached!
% 0.14/0.39 % (13598)------------------------------
% 0.14/0.39 % (13598)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (13598)Termination reason: Unknown
% 0.14/0.39 % (13598)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (13598)Memory used [KB]: 1151
% 0.14/0.39 % (13598)Time elapsed: 0.004 s
% 0.14/0.39 % (13598)Instructions burned: 4 (million)
% 0.14/0.39 % (13598)------------------------------
% 0.14/0.39 % (13598)------------------------------
% 0.14/0.39 % (13601)Instruction limit reached!
% 0.14/0.39 % (13601)------------------------------
% 0.14/0.39 % (13601)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (13601)Termination reason: Unknown
% 0.14/0.39 % (13601)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (13601)Memory used [KB]: 1023
% 0.14/0.39 % (13601)Time elapsed: 0.003 s
% 0.14/0.39 % (13601)Instructions burned: 2 (million)
% 0.14/0.39 % (13601)------------------------------
% 0.14/0.39 % (13601)------------------------------
% 0.14/0.39 % (13604)Instruction limit reached!
% 0.14/0.39 % (13604)------------------------------
% 0.14/0.39 % (13604)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (13604)Termination reason: Unknown
% 0.14/0.39 % (13604)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (13604)Memory used [KB]: 1023
% 0.14/0.39 % (13604)Time elapsed: 0.003 s
% 0.14/0.39 % (13604)Instructions burned: 3 (million)
% 0.14/0.39 % (13604)------------------------------
% 0.14/0.39 % (13604)------------------------------
% 0.20/0.39 % (13597)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)
% 0.20/0.39 % (13603)Instruction limit reached!
% 0.20/0.39 % (13603)------------------------------
% 0.20/0.39 % (13603)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (13603)Termination reason: Unknown
% 0.20/0.39 % (13603)Termination phase: Saturation
% 0.20/0.39
% 0.20/0.39 % (13603)Memory used [KB]: 5628
% 0.20/0.39 % (13603)Time elapsed: 0.009 s
% 0.20/0.39 % (13603)Instructions burned: 18 (million)
% 0.20/0.39 % (13603)------------------------------
% 0.20/0.39 % (13603)------------------------------
% 0.20/0.39 % (13599)Instruction limit reached!
% 0.20/0.39 % (13599)------------------------------
% 0.20/0.39 % (13599)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (13599)Termination reason: Unknown
% 0.20/0.39 % (13599)Termination phase: Saturation
% 0.20/0.39
% 0.20/0.39 % (13599)Memory used [KB]: 5756
% 0.20/0.39 % (13599)Time elapsed: 0.013 s
% 0.20/0.39 % (13599)Instructions burned: 27 (million)
% 0.20/0.39 % (13599)------------------------------
% 0.20/0.39 % (13599)------------------------------
% 0.20/0.40 % (13607)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)
% 0.20/0.40 % (13606)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)
% 0.20/0.40 % (13605)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)
% 0.20/0.40 % (13608)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)
% 0.20/0.40 % (13607)Instruction limit reached!
% 0.20/0.40 % (13607)------------------------------
% 0.20/0.40 % (13607)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (13607)Termination reason: Unknown
% 0.20/0.40 % (13607)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (13607)Memory used [KB]: 1023
% 0.20/0.40 % (13607)Time elapsed: 0.003 s
% 0.20/0.40 % (13607)Instructions burned: 4 (million)
% 0.20/0.40 % (13607)------------------------------
% 0.20/0.40 % (13607)------------------------------
% 0.20/0.41 % (13606)Instruction limit reached!
% 0.20/0.41 % (13606)------------------------------
% 0.20/0.41 % (13606)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (13606)Termination reason: Unknown
% 0.20/0.41 % (13606)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (13606)Memory used [KB]: 1151
% 0.20/0.41 % (13606)Time elapsed: 0.008 s
% 0.20/0.41 % (13606)Instructions burned: 15 (million)
% 0.20/0.41 % (13606)------------------------------
% 0.20/0.41 % (13606)------------------------------
% 0.20/0.41 % (13610)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)
% 0.20/0.41 % (13609)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)
% 0.20/0.41 % (13609)Instruction limit reached!
% 0.20/0.41 % (13609)------------------------------
% 0.20/0.41 % (13609)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (13609)Termination reason: Unknown
% 0.20/0.41 % (13609)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (13609)Memory used [KB]: 1151
% 0.20/0.41 % (13609)Time elapsed: 0.005 s
% 0.20/0.41 % (13609)Instructions burned: 7 (million)
% 0.20/0.41 % (13609)------------------------------
% 0.20/0.41 % (13609)------------------------------
% 0.20/0.41 % (13611)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)
% 0.20/0.41 % (13610)Instruction limit reached!
% 0.20/0.41 % (13610)------------------------------
% 0.20/0.41 % (13610)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (13610)Termination reason: Unknown
% 0.20/0.41 % (13610)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (13610)Memory used [KB]: 5628
% 0.20/0.41 % (13610)Time elapsed: 0.009 s
% 0.20/0.41 % (13610)Instructions burned: 17 (million)
% 0.20/0.41 % (13610)------------------------------
% 0.20/0.41 % (13610)------------------------------
% 0.20/0.42 % (13611)Instruction limit reached!
% 0.20/0.42 % (13611)------------------------------
% 0.20/0.42 % (13611)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (13611)Termination reason: Unknown
% 0.20/0.42 % (13611)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (13611)Memory used [KB]: 1023
% 0.20/0.42 % (13611)Time elapsed: 0.003 s
% 0.20/0.42 % (13611)Instructions burned: 4 (million)
% 0.20/0.42 % (13611)------------------------------
% 0.20/0.42 % (13611)------------------------------
% 0.20/0.42 % (13605)Instruction limit reached!
% 0.20/0.42 % (13605)------------------------------
% 0.20/0.42 % (13605)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (13605)Termination reason: Unknown
% 0.20/0.42 % (13605)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (13605)Memory used [KB]: 5884
% 0.20/0.42 % (13605)Time elapsed: 0.019 s
% 0.20/0.42 % (13605)Instructions burned: 38 (million)
% 0.20/0.42 % (13605)------------------------------
% 0.20/0.42 % (13605)------------------------------
% 0.20/0.42 % (13612)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)
% 0.20/0.42 % (13612)Instruction limit reached!
% 0.20/0.42 % (13612)------------------------------
% 0.20/0.42 % (13612)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (13612)Termination reason: Unknown
% 0.20/0.42 % (13612)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (13612)Memory used [KB]: 1151
% 0.20/0.42 % (13612)Time elapsed: 0.003 s
% 0.20/0.42 % (13612)Instructions burned: 4 (million)
% 0.20/0.42 % (13612)------------------------------
% 0.20/0.42 % (13612)------------------------------
% 0.20/0.42 % (13602)Refutation not found, incomplete strategy
% 0.20/0.42 % (13602)------------------------------
% 0.20/0.42 % (13602)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (13602)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 % (13602)Memory used [KB]: 6012
% 0.20/0.42 % (13602)Time elapsed: 0.039 s
% 0.20/0.42 % (13602)Instructions burned: 77 (million)
% 0.20/0.42 % (13602)------------------------------
% 0.20/0.42 % (13602)------------------------------
% 0.20/0.43 % (13614)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)
% 0.20/0.43 % (13615)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)
% 0.20/0.43 % (13614)Instruction limit reached!
% 0.20/0.43 % (13614)------------------------------
% 0.20/0.43 % (13614)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (13614)Termination reason: Unknown
% 0.20/0.43 % (13614)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (13614)Memory used [KB]: 1151
% 0.20/0.43 % (13614)Time elapsed: 0.004 s
% 0.20/0.43 % (13614)Instructions burned: 4 (million)
% 0.20/0.43 % (13614)------------------------------
% 0.20/0.43 % (13614)------------------------------
% 0.20/0.43 % (13616)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)
% 0.20/0.43 % (13615)Instruction limit reached!
% 0.20/0.43 % (13615)------------------------------
% 0.20/0.43 % (13615)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (13615)Termination reason: Unknown
% 0.20/0.43 % (13615)Termination phase: Property scanning
% 0.20/0.43
% 0.20/0.43 % (13615)Memory used [KB]: 1151
% 0.20/0.43 % (13615)Time elapsed: 0.004 s
% 0.20/0.43 % (13615)Instructions burned: 5 (million)
% 0.20/0.43 % (13615)------------------------------
% 0.20/0.43 % (13615)------------------------------
% 0.20/0.43 % (13613)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)
% 0.20/0.43 % (13613)Instruction limit reached!
% 0.20/0.43 % (13613)------------------------------
% 0.20/0.43 % (13613)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (13613)Termination reason: Unknown
% 0.20/0.43 % (13613)Termination phase: Property scanning
% 0.20/0.43
% 0.20/0.43 % (13613)Memory used [KB]: 1151
% 0.20/0.43 % (13613)Time elapsed: 0.005 s
% 0.20/0.43 % (13613)Instructions burned: 7 (million)
% 0.20/0.43 % (13613)------------------------------
% 0.20/0.43 % (13613)------------------------------
% 0.20/0.43 % (13617)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)
% 0.20/0.44 % (13618)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.20/0.44 % (13616)Instruction limit reached!
% 0.20/0.44 % (13616)------------------------------
% 0.20/0.44 % (13616)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (13616)Termination reason: Unknown
% 0.20/0.44 % (13616)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (13616)Memory used [KB]: 5756
% 0.20/0.44 % (13616)Time elapsed: 0.010 s
% 0.20/0.44 % (13616)Instructions burned: 18 (million)
% 0.20/0.44 % (13616)------------------------------
% 0.20/0.44 % (13616)------------------------------
% 0.20/0.44 % (13618)Instruction limit reached!
% 0.20/0.44 % (13618)------------------------------
% 0.20/0.44 % (13618)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (13618)Termination reason: Unknown
% 0.20/0.44 % (13618)Termination phase: Property scanning
% 0.20/0.44
% 0.20/0.44 % (13618)Memory used [KB]: 1151
% 0.20/0.44 % (13618)Time elapsed: 0.005 s
% 0.20/0.44 % (13618)Instructions burned: 7 (million)
% 0.20/0.44 % (13618)------------------------------
% 0.20/0.44 % (13618)------------------------------
% 0.20/0.44 % (13620)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)
% 0.20/0.45 % (13619)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)
% 0.20/0.45 % (13617)Refutation not found, incomplete strategy
% 0.20/0.45 % (13617)------------------------------
% 0.20/0.45 % (13617)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (13617)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 % (13617)Memory used [KB]: 5756
% 0.20/0.45 % (13617)Time elapsed: 0.012 s
% 0.20/0.45 % (13617)Instructions burned: 21 (million)
% 0.20/0.45 % (13617)------------------------------
% 0.20/0.45 % (13617)------------------------------
% 0.20/0.45 % (13621)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.20/0.45 % (13621)Instruction limit reached!
% 0.20/0.45 % (13621)------------------------------
% 0.20/0.45 % (13621)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (13621)Termination reason: Unknown
% 0.20/0.45 % (13621)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (13621)Memory used [KB]: 1151
% 0.20/0.45 % (13621)Time elapsed: 0.004 s
% 0.20/0.45 % (13621)Instructions burned: 5 (million)
% 0.20/0.45 % (13621)------------------------------
% 0.20/0.45 % (13621)------------------------------
% 0.20/0.45 % (13619)Refutation not found, incomplete strategy
% 0.20/0.45 % (13619)------------------------------
% 0.20/0.45 % (13619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (13619)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 % (13619)Memory used [KB]: 5628
% 0.20/0.45 % (13619)Time elapsed: 0.008 s
% 0.20/0.45 % (13619)Instructions burned: 11 (million)
% 0.20/0.45 % (13619)------------------------------
% 0.20/0.45 % (13619)------------------------------
% 0.20/0.45 % (13620)Instruction limit reached!
% 0.20/0.45 % (13620)------------------------------
% 0.20/0.45 % (13620)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (13620)Termination reason: Unknown
% 0.20/0.45 % (13620)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (13620)Memory used [KB]: 5628
% 0.20/0.45 % (13620)Time elapsed: 0.010 s
% 0.20/0.45 % (13620)Instructions burned: 21 (million)
% 0.20/0.45 % (13620)------------------------------
% 0.20/0.45 % (13620)------------------------------
% 0.20/0.45 % (13622)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)
% 0.20/0.45 % (13623)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)
% 0.20/0.45 % (13622)Instruction limit reached!
% 0.20/0.45 % (13622)------------------------------
% 0.20/0.45 % (13622)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (13622)Termination reason: Unknown
% 0.20/0.45 % (13622)Termination phase: Property scanning
% 0.20/0.45
% 0.20/0.45 % (13622)Memory used [KB]: 1151
% 0.20/0.45 % (13622)Time elapsed: 0.005 s
% 0.20/0.45 % (13622)Instructions burned: 7 (million)
% 0.20/0.45 % (13622)------------------------------
% 0.20/0.45 % (13622)------------------------------
% 0.20/0.46 % (13624)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 Vampire---4 for (2999ds/779Mi)
% 0.20/0.46 % (13627)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.20/0.46 % (13626)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.20/0.47 % (13628)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.20/0.47 % (13628)Instruction limit reached!
% 0.20/0.47 % (13628)------------------------------
% 0.20/0.47 % (13628)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (13628)Termination reason: Unknown
% 0.20/0.47 % (13628)Termination phase: shuffling
% 0.20/0.47
% 0.20/0.47 % (13628)Memory used [KB]: 1151
% 0.20/0.47 % (13628)Time elapsed: 0.004 s
% 0.20/0.47 % (13628)Instructions burned: 5 (million)
% 0.20/0.47 % (13628)------------------------------
% 0.20/0.47 % (13628)------------------------------
% 0.20/0.47 % (13627)Instruction limit reached!
% 0.20/0.47 % (13627)------------------------------
% 0.20/0.47 % (13627)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (13627)Termination reason: Unknown
% 0.20/0.47 % (13627)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (13627)Memory used [KB]: 5628
% 0.20/0.47 % (13627)Time elapsed: 0.009 s
% 0.20/0.47 % (13627)Instructions burned: 17 (million)
% 0.20/0.47 % (13627)------------------------------
% 0.20/0.47 % (13627)------------------------------
% 0.20/0.47 % (13625)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 Vampire---4 for (2999ds/19Mi)
% 0.20/0.48 % (13625)Instruction limit reached!
% 0.20/0.48 % (13625)------------------------------
% 0.20/0.48 % (13625)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (13625)Termination reason: Unknown
% 0.20/0.48 % (13625)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (13625)Memory used [KB]: 5628
% 0.20/0.48 % (13625)Time elapsed: 0.007 s
% 0.20/0.48 % (13625)Instructions burned: 20 (million)
% 0.20/0.48 % (13625)------------------------------
% 0.20/0.48 % (13625)------------------------------
% 0.20/0.48 % (13629)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2999ds/30Mi)
% 0.20/0.48 % (13630)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2999ds/127Mi)
% 0.20/0.49 % (13597)Instruction limit reached!
% 0.20/0.49 % (13597)------------------------------
% 0.20/0.49 % (13597)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (13597)Termination reason: Unknown
% 0.20/0.49 % (13597)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (13597)Memory used [KB]: 7164
% 0.20/0.49 % (13597)Time elapsed: 0.100 s
% 0.20/0.49 % (13597)Instructions burned: 183 (million)
% 0.20/0.49 % (13597)------------------------------
% 0.20/0.49 % (13597)------------------------------
% 0.20/0.49 % (13631)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2999ds/100Mi)
% 0.20/0.50 % (13629)Instruction limit reached!
% 0.20/0.50 % (13629)------------------------------
% 0.20/0.50 % (13629)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (13629)Termination reason: Unknown
% 0.20/0.50 % (13629)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (13629)Memory used [KB]: 5756
% 0.20/0.50 % (13629)Time elapsed: 0.037 s
% 0.20/0.50 % (13629)Instructions burned: 30 (million)
% 0.20/0.50 % (13629)------------------------------
% 0.20/0.50 % (13629)------------------------------
% 0.20/0.50 % (13632)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 Vampire---4 for (2998ds/3Mi)
% 0.20/0.50 % (13632)Instruction limit reached!
% 0.20/0.50 % (13632)------------------------------
% 0.20/0.50 % (13632)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (13632)Termination reason: Unknown
% 0.20/0.50 % (13632)Termination phase: shuffling
% 0.20/0.50
% 0.20/0.50 % (13632)Memory used [KB]: 1151
% 0.20/0.50 % (13632)Time elapsed: 0.004 s
% 0.20/0.50 % (13632)Instructions burned: 4 (million)
% 0.20/0.50 % (13632)------------------------------
% 0.20/0.50 % (13632)------------------------------
% 0.20/0.51 % (13633)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 Vampire---4 for (2998ds/20Mi)
% 0.20/0.52 % (13634)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 Vampire---4 for (2998ds/86Mi)
% 0.20/0.52 % (13633)Instruction limit reached!
% 0.20/0.52 % (13633)------------------------------
% 0.20/0.52 % (13633)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.52 % (13633)Termination reason: Unknown
% 0.20/0.52 % (13633)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (13633)Memory used [KB]: 5628
% 0.20/0.52 % (13633)Time elapsed: 0.011 s
% 0.20/0.52 % (13633)Instructions burned: 21 (million)
% 0.20/0.52 % (13633)------------------------------
% 0.20/0.52 % (13633)------------------------------
% 1.23/0.54 % (13631)Instruction limit reached!
% 1.23/0.54 % (13631)------------------------------
% 1.23/0.54 % (13631)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.23/0.54 % (13631)Termination reason: Unknown
% 1.23/0.54 % (13631)Termination phase: Saturation
% 1.23/0.54
% 1.23/0.54 % (13631)Memory used [KB]: 6140
% 1.23/0.54 % (13631)Time elapsed: 0.065 s
% 1.23/0.54 % (13631)Instructions burned: 100 (million)
% 1.23/0.54 % (13631)------------------------------
% 1.23/0.54 % (13631)------------------------------
% 1.23/0.54 % (13635)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 Vampire---4 for (2998ds/107Mi)
% 1.23/0.54 % (13630)Instruction limit reached!
% 1.23/0.54 % (13630)------------------------------
% 1.23/0.54 % (13630)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.23/0.54 % (13630)Termination reason: Unknown
% 1.23/0.54 % (13630)Termination phase: Saturation
% 1.23/0.54
% 1.23/0.54 % (13630)Memory used [KB]: 6268
% 1.23/0.54 % (13630)Time elapsed: 0.084 s
% 1.23/0.54 % (13630)Instructions burned: 128 (million)
% 1.23/0.54 % (13630)------------------------------
% 1.23/0.54 % (13630)------------------------------
% 1.23/0.54 % (13636)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 Vampire---4 for (2998ds/39Mi)
% 1.45/0.55 % (13608)First to succeed.
% 1.45/0.56 % (13637)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (2998ds/448Mi)
% 1.45/0.56 % (13636)Instruction limit reached!
% 1.45/0.56 % (13636)------------------------------
% 1.45/0.56 % (13636)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.56 % (13636)Termination reason: Unknown
% 1.45/0.56 % (13636)Termination phase: Saturation
% 1.45/0.56
% 1.45/0.56 % (13636)Memory used [KB]: 6012
% 1.45/0.56 % (13636)Time elapsed: 0.015 s
% 1.45/0.56 % (13636)Instructions burned: 40 (million)
% 1.45/0.56 % (13636)------------------------------
% 1.45/0.56 % (13636)------------------------------
% 1.45/0.56 % (13634)Instruction limit reached!
% 1.45/0.56 % (13634)------------------------------
% 1.45/0.56 % (13634)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.56 % (13634)Termination reason: Unknown
% 1.45/0.56 % (13634)Termination phase: Saturation
% 1.45/0.56
% 1.45/0.56 % (13634)Memory used [KB]: 6396
% 1.45/0.56 % (13634)Time elapsed: 0.044 s
% 1.45/0.56 % (13634)Instructions burned: 88 (million)
% 1.45/0.56 % (13634)------------------------------
% 1.45/0.56 % (13634)------------------------------
% 1.45/0.57 % (13608)Refutation found. Thanks to Tanya!
% 1.45/0.57 % SZS status Theorem for Vampire---4
% 1.45/0.57 % SZS output start Proof for Vampire---4
% 1.45/0.57 thf(type_def_5, type, mu: $tType).
% 1.45/0.57 thf(type_def_7, type, reg: $tType).
% 1.45/0.57 thf(func_def_0, type, mu: $tType).
% 1.45/0.57 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 1.45/0.57 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 1.45/0.57 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 1.45/0.57 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 1.45/0.57 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 1.45/0.57 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 1.45/0.57 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 1.45/0.57 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 1.45/0.57 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 1.45/0.57 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 1.45/0.57 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 1.45/0.57 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 1.45/0.57 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 1.45/0.57 thf(func_def_15, type, mtrue: $i > $o).
% 1.45/0.57 thf(func_def_16, type, mfalse: $i > $o).
% 1.45/0.57 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.45/0.57 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.45/0.57 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 1.45/0.57 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 1.45/0.57 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 1.45/0.57 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 1.45/0.57 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 1.45/0.57 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 1.45/0.57 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 1.45/0.57 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 1.45/0.57 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 1.45/0.57 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 1.45/0.57 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 1.45/0.57 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 1.45/0.57 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 1.45/0.57 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 1.45/0.57 thf(func_def_33, type, reg: $tType).
% 1.45/0.57 thf(func_def_34, type, c: reg > reg > $o).
% 1.45/0.57 thf(func_def_35, type, dc: reg > reg > $o).
% 1.45/0.57 thf(func_def_36, type, p: reg > reg > $o).
% 1.45/0.57 thf(func_def_37, type, eq: reg > reg > $o).
% 1.45/0.57 thf(func_def_38, type, o: reg > reg > $o).
% 1.45/0.57 thf(func_def_39, type, po: reg > reg > $o).
% 1.45/0.57 thf(func_def_40, type, ec: reg > reg > $o).
% 1.45/0.57 thf(func_def_41, type, pp: reg > reg > $o).
% 1.45/0.57 thf(func_def_42, type, tpp: reg > reg > $o).
% 1.45/0.57 thf(func_def_43, type, ntpp: reg > reg > $o).
% 1.45/0.57 thf(func_def_44, type, catalunya: reg).
% 1.45/0.57 thf(func_def_45, type, france: reg).
% 1.45/0.57 thf(func_def_46, type, spain: reg).
% 1.45/0.57 thf(func_def_47, type, paris: reg).
% 1.45/0.57 thf(func_def_48, type, a: $i > $i > $o).
% 1.45/0.57 thf(func_def_49, type, fool: $i > $i > $o).
% 1.45/0.57 thf(func_def_66, type, ph1: !>[X0: $tType]:(X0)).
% 1.45/0.57 thf(func_def_67, type, sK2: $i > $i > $i).
% 1.45/0.57 thf(func_def_68, type, sK3: $i > $i > $i).
% 1.45/0.57 thf(func_def_71, type, sK6: reg).
% 1.45/0.57 thf(func_def_72, type, sK7: reg).
% 1.45/0.57 thf(func_def_74, type, sK9: reg).
% 1.45/0.57 thf(func_def_75, type, sK10: reg).
% 1.45/0.57 thf(func_def_76, type, sK11: reg).
% 1.45/0.57 thf(func_def_77, type, sK12: reg).
% 1.45/0.57 thf(func_def_78, type, sK13: reg).
% 1.45/0.57 thf(func_def_79, type, sK14: reg).
% 1.45/0.57 thf(func_def_80, type, sK15: reg).
% 1.45/0.57 thf(func_def_81, type, sK16: reg).
% 1.45/0.57 thf(func_def_82, type, sK17: reg).
% 1.45/0.57 thf(func_def_83, type, sK18: reg).
% 1.45/0.57 thf(func_def_84, type, sK19: reg).
% 1.45/0.57 thf(func_def_85, type, sK20: reg).
% 1.45/0.57 thf(func_def_86, type, sK21: reg).
% 1.45/0.57 thf(func_def_87, type, sK22: reg).
% 1.45/0.57 thf(func_def_88, type, sK23: reg).
% 1.45/0.57 thf(func_def_89, type, sK24: reg).
% 1.45/0.57 thf(func_def_90, type, sK25: reg).
% 1.45/0.57 thf(func_def_91, type, sK26: reg).
% 1.45/0.57 thf(func_def_92, type, sK27: $i > ($i > $o) > $i).
% 1.45/0.57 thf(f2386,plain,(
% 1.45/0.57 $false),
% 1.45/0.57 inference(avatar_sat_refutation,[],[f329,f384,f453,f949,f2198,f2385])).
% 1.45/0.57 thf(f2385,plain,(
% 1.45/0.57 ~spl0_3 | ~spl0_11),
% 1.45/0.57 inference(avatar_contradiction_clause,[],[f2384])).
% 1.45/0.57 thf(f2384,plain,(
% 1.45/0.57 $false | (~spl0_3 | ~spl0_11)),
% 1.45/0.57 inference(trivial_inequality_removal,[],[f2383])).
% 1.45/0.57 thf(f2383,plain,(
% 1.45/0.57 ($false = $true) | (~spl0_3 | ~spl0_11)),
% 1.45/0.57 inference(boolean_simplification,[],[f2382])).
% 1.45/0.57 thf(f2382,plain,(
% 1.45/0.57 ($true = (~ $true)) | (~spl0_3 | ~spl0_11)),
% 1.45/0.57 inference(backward_demodulation,[],[f2369,f2380])).
% 1.45/0.57 thf(f2380,plain,(
% 1.45/0.57 ((c @ sK20 @ catalunya) = $true) | ~spl0_11),
% 1.45/0.57 inference(boolean_simplification,[],[f2371])).
% 1.45/0.57 thf(f2371,plain,(
% 1.45/0.57 ($true = ($true => (c @ sK20 @ catalunya))) | ~spl0_11),
% 1.45/0.57 inference(superposition,[],[f2280,f2352])).
% 1.45/0.57 thf(f2352,plain,(
% 1.45/0.57 ($true = (c @ sK20 @ sK16)) | ~spl0_11),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f2336])).
% 1.45/0.57 thf(f2336,plain,(
% 1.45/0.57 (((c @ sK20 @ sK16) => (c @ sK20 @ spain)) = $false) | ~spl0_11),
% 1.45/0.57 inference(beta_eta_normalization,[],[f2331])).
% 1.45/0.57 thf(f2331,plain,(
% 1.45/0.57 ($false = ((^[Y0 : reg]: ((c @ Y0 @ sK16) => (c @ Y0 @ spain))) @ sK20)) | ~spl0_11),
% 1.45/0.57 inference(sigma_clausification,[],[f2243])).
% 1.45/0.57 thf(f2243,plain,(
% 1.45/0.57 ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK16) => (c @ Y0 @ spain))))) | ~spl0_11),
% 1.45/0.57 inference(boolean_simplification,[],[f2240])).
% 1.45/0.57 thf(f2240,plain,(
% 1.45/0.57 ($false = ($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK16) => (c @ Y0 @ spain)))))) | ~spl0_11),
% 1.45/0.57 inference(superposition,[],[f912,f2212])).
% 1.45/0.57 thf(f2212,plain,(
% 1.45/0.57 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK16) => (c @ Y0 @ sK11)))) = $true) | ~spl0_11),
% 1.45/0.57 inference(boolean_simplification,[],[f2211])).
% 1.45/0.57 thf(f2211,plain,(
% 1.45/0.57 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK16) => (c @ Y0 @ sK11)))) & $true) = $true) | ~spl0_11),
% 1.45/0.57 inference(backward_demodulation,[],[f2202,f2209])).
% 1.45/0.57 thf(f2209,plain,(
% 1.45/0.57 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK16) => (c @ Y0 @ catalunya))))) | ~spl0_11),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f2202])).
% 1.45/0.57 thf(f2202,plain,(
% 1.45/0.57 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK16) => (c @ Y0 @ sK11)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK16) => (c @ Y0 @ catalunya))))) = $true) | ~spl0_11),
% 1.45/0.57 inference(beta_eta_normalization,[],[f2201])).
% 1.45/0.57 thf(f2201,plain,(
% 1.45/0.57 (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))) @ sK16) = $true) | ~spl0_11),
% 1.45/0.57 inference(sigma_clausification,[],[f948])).
% 1.45/0.57 thf(f948,plain,(
% 1.45/0.57 ($true = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))))) | ~spl0_11),
% 1.45/0.57 inference(avatar_component_clause,[],[f947])).
% 1.45/0.57 thf(f947,plain,(
% 1.45/0.57 spl0_11 <=> ($true = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))))),
% 1.45/0.57 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
% 1.45/0.57 thf(f912,plain,(
% 1.45/0.57 ( ! [X1 : reg] : (($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK11)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain))))))) )),
% 1.45/0.57 inference(beta_eta_normalization,[],[f911])).
% 1.45/0.57 thf(f911,plain,(
% 1.45/0.57 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))) @ X1) = $false)) )),
% 1.45/0.57 inference(pi_clausification,[],[f894])).
% 1.45/0.57 thf(f894,plain,(
% 1.45/0.57 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))) = $false)),
% 1.45/0.57 inference(boolean_simplification,[],[f893])).
% 1.45/0.57 thf(f893,plain,(
% 1.45/0.57 (($false | (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) = $false)),
% 1.45/0.57 inference(backward_demodulation,[],[f756,f892])).
% 1.45/0.57 thf(f892,plain,(
% 1.45/0.57 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) = $false)),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f756])).
% 1.45/0.57 thf(f756,plain,(
% 1.45/0.57 ($false = ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) | (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))))),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f744])).
% 1.45/0.57 thf(f744,plain,(
% 1.45/0.57 ((((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))) | (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) => ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) | (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))))) = $false)),
% 1.45/0.57 inference(beta_eta_normalization,[],[f743])).
% 1.45/0.57 thf(f743,plain,(
% 1.45/0.57 ($false = ((^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))))) @ sK11))),
% 1.45/0.57 inference(sigma_clausification,[],[f568])).
% 1.45/0.57 thf(f568,plain,(
% 1.45/0.57 ($false = (!! @ reg @ (^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))))))))),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f379])).
% 1.45/0.57 thf(f379,plain,(
% 1.45/0.57 ($false = ((!! @ reg @ (^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))))))) | (~ (a @ sK4 @ sK5))))),
% 1.45/0.57 inference(beta_eta_normalization,[],[f378])).
% 1.45/0.57 thf(f378,plain,(
% 1.45/0.57 ($false = ((^[Y0 : $i]: ((!! @ reg @ (^[Y1 : reg]: (((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))) | (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))) => ((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))) | (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))))))))) | (~ (a @ sK4 @ Y0)))) @ sK5))),
% 1.45/0.57 inference(sigma_clausification,[],[f375])).
% 1.45/0.57 thf(f375,plain,(
% 1.45/0.57 ($false = (!! @ $i @ (^[Y0 : $i]: ((!! @ reg @ (^[Y1 : reg]: (((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))) | (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))) => ((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))) | (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))))))))) | (~ (a @ sK4 @ Y0))))))),
% 1.45/0.57 inference(beta_eta_normalization,[],[f374])).
% 1.45/0.57 thf(f374,plain,(
% 1.45/0.57 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ reg @ (^[Y2 : reg]: (((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))) | (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))) => ((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))))) | (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain))))))))))) | (~ (a @ Y0 @ Y1)))))) @ sK4))),
% 1.45/0.57 inference(sigma_clausification,[],[f369])).
% 1.45/0.57 thf(f369,plain,(
% 1.45/0.57 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ reg @ (^[Y2 : reg]: (((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))) | (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))) => ((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))))) | (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain))))))))))) | (~ (a @ Y0 @ Y1))))))))),
% 1.45/0.57 inference(not_proxy_clausification,[],[f219])).
% 1.45/0.57 thf(f219,plain,(
% 1.45/0.57 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ reg @ (^[Y2 : reg]: (((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))) | (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))) => ((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))))) | (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain))))))))))) | (~ (a @ Y0 @ Y1)))))))) = $true)),
% 1.45/0.57 inference(beta_eta_normalization,[],[f215])).
% 1.45/0.57 thf(f215,plain,(
% 1.45/0.57 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: ((((^[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 @ catalunya) | ((^[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)) => (((^[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 @ france) | ((^[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 @ spain))))))))) = $true)),
% 1.45/0.57 inference(definition_unfolding,[],[f176,f187,f165,f206,f206,f206,f206])).
% 1.45/0.57 thf(f206,plain,(
% 1.45/0.57 (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))))))))),
% 1.45/0.57 inference(definition_unfolding,[],[f195,f173,f173])).
% 1.45/0.57 thf(f173,plain,(
% 1.45/0.57 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 1.45/0.57 inference(cnf_transformation,[],[f128])).
% 1.45/0.57 thf(f128,plain,(
% 1.45/0.57 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 1.45/0.57 inference(fool_elimination,[],[f127])).
% 1.45/0.57 thf(f127,plain,(
% 1.45/0.57 (p = (^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))))),
% 1.45/0.57 inference(rectify,[],[f35])).
% 1.45/0.57 thf(f35,axiom,(
% 1.45/0.57 (p = (^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))))),
% 1.45/0.57 file('/export/starexec/sandbox2/tmp/tmp.SYfwvESB4i/Vampire---4.8_13489',p)).
% 1.45/0.57 thf(f195,plain,(
% 1.45/0.57 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 1.45/0.57 inference(cnf_transformation,[],[f57])).
% 1.45/0.57 thf(f57,plain,(
% 1.45/0.57 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 1.45/0.57 inference(fool_elimination,[],[f56])).
% 1.45/0.57 thf(f56,plain,(
% 1.45/0.57 (o = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X1) & (p @ X2 @ X0)))))),
% 1.45/0.57 inference(rectify,[],[f37])).
% 1.45/0.57 thf(f37,axiom,(
% 1.45/0.57 (o = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X1) & (p @ X11 @ X0)))))),
% 1.45/0.57 file('/export/starexec/sandbox2/tmp/tmp.SYfwvESB4i/Vampire---4.8_13489',o)).
% 1.45/0.57 thf(f165,plain,(
% 1.45/0.57 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 1.45/0.57 inference(cnf_transformation,[],[f93])).
% 1.45/0.57 thf(f93,plain,(
% 1.45/0.57 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 1.45/0.57 inference(fool_elimination,[],[f92])).
% 1.45/0.57 thf(f92,plain,(
% 1.45/0.57 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))) = mbox)),
% 1.45/0.57 inference(rectify,[],[f16])).
% 1.45/0.57 thf(f16,axiom,(
% 1.45/0.57 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))) = mbox)),
% 1.45/0.57 file('/export/starexec/sandbox2/tmp/tmp.SYfwvESB4i/Vampire---4.8_13489',mbox)).
% 1.45/0.57 thf(f187,plain,(
% 1.45/0.57 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.45/0.57 inference(cnf_transformation,[],[f105])).
% 1.45/0.57 thf(f105,plain,(
% 1.45/0.57 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.45/0.57 inference(fool_elimination,[],[f104])).
% 1.45/0.57 thf(f104,plain,(
% 1.45/0.57 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 1.45/0.57 inference(rectify,[],[f28])).
% 1.45/0.57 thf(f28,axiom,(
% 1.45/0.57 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 1.45/0.57 file('/export/starexec/sandbox2/tmp/tmp.SYfwvESB4i/Vampire---4.8_13489',mvalid)).
% 1.45/0.57 thf(f176,plain,(
% 1.45/0.57 ((~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((o @ Y1 @ catalunya) | (o @ Y1 @ paris)) => ((o @ Y1 @ france) | (o @ Y1 @ spain))))))))) = $true)),
% 1.45/0.57 inference(cnf_transformation,[],[f134])).
% 1.45/0.57 thf(f134,plain,(
% 1.45/0.57 ((~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((o @ Y1 @ catalunya) | (o @ Y1 @ paris)) => ((o @ Y1 @ france) | (o @ Y1 @ spain))))))))) = $true)),
% 1.45/0.57 inference(fool_elimination,[],[f133])).
% 1.45/0.57 thf(f133,plain,(
% 1.45/0.57 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X1 : reg] : (((o @ X1 @ paris) | (o @ X1 @ catalunya)) => ((o @ X1 @ spain) | (o @ X1 @ france)))))))),
% 1.45/0.57 inference(rectify,[],[f50])).
% 1.45/0.57 thf(f50,negated_conjecture,(
% 1.45/0.57 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X11 : reg] : (((o @ X11 @ paris) | (o @ X11 @ catalunya)) => ((o @ X11 @ spain) | (o @ X11 @ france)))))))),
% 1.45/0.57 inference(negated_conjecture,[],[f49])).
% 1.45/0.57 thf(f49,conjecture,(
% 1.45/0.57 (mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X11 : reg] : (((o @ X11 @ paris) | (o @ X11 @ catalunya)) => ((o @ X11 @ spain) | (o @ X11 @ france)))))))),
% 1.45/0.57 file('/export/starexec/sandbox2/tmp/tmp.SYfwvESB4i/Vampire---4.8_13489',con)).
% 1.45/0.57 thf(f2280,plain,(
% 1.45/0.57 ( ! [X1 : reg] : (($true = ((c @ X1 @ sK16) => (c @ X1 @ catalunya)))) ) | ~spl0_11),
% 1.45/0.57 inference(beta_eta_normalization,[],[f2278])).
% 1.45/0.57 thf(f2278,plain,(
% 1.45/0.57 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ sK16) => (c @ Y0 @ catalunya))) @ X1) = $true)) ) | ~spl0_11),
% 1.45/0.57 inference(pi_clausification,[],[f2209])).
% 1.45/0.57 thf(f2369,plain,(
% 1.45/0.57 ((~ (c @ sK20 @ catalunya)) = $true) | (~spl0_3 | ~spl0_11)),
% 1.45/0.57 inference(boolean_simplification,[],[f2364])).
% 1.45/0.57 thf(f2364,plain,(
% 1.45/0.57 (((c @ sK20 @ catalunya) => $false) = $true) | (~spl0_3 | ~spl0_11)),
% 1.45/0.57 inference(superposition,[],[f403,f2351])).
% 1.45/0.57 thf(f2351,plain,(
% 1.45/0.57 ($false = (c @ sK20 @ spain)) | ~spl0_11),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f2336])).
% 1.45/0.57 thf(f403,plain,(
% 1.45/0.57 ( ! [X1 : reg] : ((((c @ X1 @ catalunya) => (c @ X1 @ spain)) = $true)) ) | ~spl0_3),
% 1.45/0.57 inference(beta_eta_normalization,[],[f400])).
% 1.45/0.57 thf(f400,plain,(
% 1.45/0.57 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X1))) ) | ~spl0_3),
% 1.45/0.57 inference(pi_clausification,[],[f394])).
% 1.45/0.57 thf(f394,plain,(
% 1.45/0.57 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) = $true) | ~spl0_3),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f390])).
% 1.45/0.57 thf(f390,plain,(
% 1.45/0.57 ($true = ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))) | ~spl0_3),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f325])).
% 1.45/0.57 thf(f325,plain,(
% 1.45/0.57 (((?? @ 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 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))) = $true) | ~spl0_3),
% 1.45/0.57 inference(avatar_component_clause,[],[f324])).
% 1.45/0.57 thf(f324,plain,(
% 1.45/0.57 spl0_3 <=> (((?? @ 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 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))) = $true)),
% 1.45/0.57 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 1.45/0.57 thf(f2198,plain,(
% 1.45/0.57 ~spl0_5 | ~spl0_10),
% 1.45/0.57 inference(avatar_contradiction_clause,[],[f2197])).
% 1.45/0.57 thf(f2197,plain,(
% 1.45/0.57 $false | (~spl0_5 | ~spl0_10)),
% 1.45/0.57 inference(trivial_inequality_removal,[],[f2196])).
% 1.45/0.57 thf(f2196,plain,(
% 1.45/0.57 ($false = $true) | (~spl0_5 | ~spl0_10)),
% 1.45/0.57 inference(forward_demodulation,[],[f2195,f2069])).
% 1.45/0.57 thf(f2069,plain,(
% 1.45/0.57 ($false = (c @ sK24 @ paris)) | (~spl0_5 | ~spl0_10)),
% 1.45/0.57 inference(trivial_inequality_removal,[],[f2068])).
% 1.45/0.57 thf(f2068,plain,(
% 1.45/0.57 ($false = $true) | ($false = (c @ sK24 @ paris)) | (~spl0_5 | ~spl0_10)),
% 1.45/0.57 inference(boolean_simplification,[],[f2063])).
% 1.45/0.57 thf(f2063,plain,(
% 1.45/0.57 ($false = ((c @ sK24 @ sK13) => $true)) | ($false = (c @ sK24 @ paris)) | (~spl0_5 | ~spl0_10)),
% 1.45/0.57 inference(superposition,[],[f2048,f483])).
% 1.45/0.57 thf(f483,plain,(
% 1.45/0.57 ( ! [X1 : reg] : (($true = (c @ X1 @ france)) | ($false = (c @ X1 @ paris))) ) | ~spl0_5),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f479])).
% 1.45/0.57 thf(f479,plain,(
% 1.45/0.57 ( ! [X1 : reg] : (($true = ((c @ X1 @ paris) => (c @ X1 @ france)))) ) | ~spl0_5),
% 1.45/0.57 inference(beta_eta_normalization,[],[f476])).
% 1.45/0.57 thf(f476,plain,(
% 1.45/0.57 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X1))) ) | ~spl0_5),
% 1.45/0.57 inference(pi_clausification,[],[f472])).
% 1.45/0.57 thf(f472,plain,(
% 1.45/0.57 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) | ~spl0_5),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f467])).
% 1.45/0.57 thf(f467,plain,(
% 1.45/0.57 (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) = $true) | ~spl0_5),
% 1.45/0.57 inference(boolean_simplification,[],[f466])).
% 1.45/0.57 thf(f466,plain,(
% 1.45/0.57 ($true = (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & $true)) | ~spl0_5),
% 1.45/0.57 inference(backward_demodulation,[],[f452,f464])).
% 1.45/0.57 thf(f464,plain,(
% 1.45/0.57 ((~ (?? @ 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_5),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f452])).
% 1.45/0.57 thf(f452,plain,(
% 1.45/0.57 ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ 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_5),
% 1.45/0.57 inference(avatar_component_clause,[],[f451])).
% 1.45/0.57 thf(f451,plain,(
% 1.45/0.57 spl0_5 <=> ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ 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)))))))))))))) = $true)),
% 1.45/0.57 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 1.45/0.57 thf(f2048,plain,(
% 1.45/0.57 ($false = ((c @ sK24 @ sK13) => (c @ sK24 @ france))) | ~spl0_10),
% 1.45/0.57 inference(beta_eta_normalization,[],[f2045])).
% 1.45/0.57 thf(f2045,plain,(
% 1.45/0.57 (((^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ france))) @ sK24) = $false) | ~spl0_10),
% 1.45/0.57 inference(sigma_clausification,[],[f1755])).
% 1.45/0.57 thf(f1755,plain,(
% 1.45/0.57 ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ france))))) | ~spl0_10),
% 1.45/0.57 inference(boolean_simplification,[],[f1752])).
% 1.45/0.57 thf(f1752,plain,(
% 1.45/0.57 ($false = ($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ france)))))) | ~spl0_10),
% 1.45/0.57 inference(superposition,[],[f1464,f1741])).
% 1.45/0.57 thf(f1741,plain,(
% 1.45/0.57 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ sK11)))) = $true) | ~spl0_10),
% 1.45/0.57 inference(boolean_simplification,[],[f1740])).
% 1.45/0.57 thf(f1740,plain,(
% 1.45/0.57 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ sK11)))) & $true)) | ~spl0_10),
% 1.45/0.57 inference(backward_demodulation,[],[f1727,f1738])).
% 1.45/0.57 thf(f1738,plain,(
% 1.45/0.57 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ paris))))) | ~spl0_10),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f1727])).
% 1.45/0.57 thf(f1727,plain,(
% 1.45/0.57 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ sK11)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ paris))))) = $true) | ~spl0_10),
% 1.45/0.57 inference(beta_eta_normalization,[],[f1722])).
% 1.45/0.57 thf(f1722,plain,(
% 1.45/0.57 (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))) @ sK13) = $true) | ~spl0_10),
% 1.45/0.57 inference(sigma_clausification,[],[f945])).
% 1.45/0.57 thf(f945,plain,(
% 1.45/0.57 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) = $true) | ~spl0_10),
% 1.45/0.57 inference(avatar_component_clause,[],[f944])).
% 1.45/0.57 thf(f944,plain,(
% 1.45/0.57 spl0_10 <=> ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) = $true)),
% 1.45/0.57 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 1.45/0.57 thf(f1464,plain,(
% 1.45/0.57 ( ! [X1 : reg] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK11)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france))))) = $false)) )),
% 1.45/0.57 inference(beta_eta_normalization,[],[f1460])).
% 1.45/0.57 thf(f1460,plain,(
% 1.45/0.57 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) @ X1) = $false)) )),
% 1.45/0.57 inference(pi_clausification,[],[f892])).
% 1.45/0.57 thf(f2195,plain,(
% 1.45/0.57 ((c @ sK24 @ paris) = $true) | ~spl0_10),
% 1.45/0.57 inference(boolean_simplification,[],[f2185])).
% 1.45/0.57 thf(f2185,plain,(
% 1.45/0.57 ($true = ($true => (c @ sK24 @ paris))) | ~spl0_10),
% 1.45/0.57 inference(superposition,[],[f1786,f2062])).
% 1.45/0.57 thf(f2062,plain,(
% 1.45/0.57 ((c @ sK24 @ sK13) = $true) | ~spl0_10),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f2048])).
% 1.45/0.57 thf(f1786,plain,(
% 1.45/0.57 ( ! [X1 : reg] : ((((c @ X1 @ sK13) => (c @ X1 @ paris)) = $true)) ) | ~spl0_10),
% 1.45/0.57 inference(beta_eta_normalization,[],[f1785])).
% 1.45/0.57 thf(f1785,plain,(
% 1.45/0.57 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ paris))) @ X1) = $true)) ) | ~spl0_10),
% 1.45/0.57 inference(pi_clausification,[],[f1738])).
% 1.45/0.57 thf(f949,plain,(
% 1.45/0.57 spl0_10 | spl0_11),
% 1.45/0.57 inference(avatar_split_clause,[],[f942,f947,f944])).
% 1.45/0.57 thf(f942,plain,(
% 1.45/0.57 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) = $true) | ($true = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))))),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f757])).
% 1.45/0.57 thf(f757,plain,(
% 1.45/0.57 (((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))) | (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK11)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) = $true)),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f744])).
% 1.45/0.57 thf(f453,plain,(
% 1.45/0.57 spl0_4 | spl0_5),
% 1.45/0.57 inference(avatar_split_clause,[],[f449,f451,f327])).
% 1.45/0.57 thf(f327,plain,(
% 1.45/0.57 spl0_4 <=> ! [X2,X1] : ($true = (~ (a @ X1 @ X2)))),
% 1.45/0.57 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 1.45/0.57 thf(f449,plain,(
% 1.45/0.57 ( ! [X2 : $i,X1 : $i] : (($true = (~ (a @ X1 @ X2))) | ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ 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)) )),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f362])).
% 1.45/0.57 thf(f362,plain,(
% 1.45/0.57 ( ! [X2 : $i,X1 : $i] : ((((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ 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)))))))))))))) | (~ (a @ X1 @ X2))) = $true)) )),
% 1.45/0.57 inference(beta_eta_normalization,[],[f361])).
% 1.45/0.57 thf(f361,plain,(
% 1.45/0.57 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france))))) & (~ (?? @ 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)))))))))))))) | (~ (a @ X1 @ Y0)))) @ X2) = $true)) )),
% 1.45/0.57 inference(pi_clausification,[],[f347])).
% 1.45/0.57 thf(f347,plain,(
% 1.45/0.57 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france))))) & (~ (?? @ 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)))))))))))))) | (~ (a @ X1 @ Y0))))) = $true)) )),
% 1.45/0.57 inference(beta_eta_normalization,[],[f346])).
% 1.45/0.57 thf(f346,plain,(
% 1.45/0.57 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france))))) & (~ (?? @ 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)))))))))))))) | (~ (a @ Y0 @ Y1)))))) @ X1))) )),
% 1.45/0.57 inference(pi_clausification,[],[f223])).
% 1.45/0.57 thf(f223,plain,(
% 1.45/0.57 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france))))) & (~ (?? @ 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)))))))))))))) | (~ (a @ Y0 @ Y1))))))) = $true)),
% 1.45/0.57 inference(beta_eta_normalization,[],[f212])).
% 1.45/0.57 thf(f212,plain,(
% 1.45/0.57 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ 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))))))) @ Y4 @ Y3)) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4))))) @ 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 @ 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))))))))) @ paris @ france)))) = $true)),
% 1.45/0.57 inference(definition_unfolding,[],[f149,f187,f165,f211])).
% 1.45/0.57 thf(f211,plain,(
% 1.45/0.57 (ntpp = (^[Y0 : 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))))) @ 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 @ 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))))))))))),
% 1.45/0.57 inference(definition_unfolding,[],[f172,f209,f208,f208])).
% 1.45/0.57 thf(f208,plain,(
% 1.45/0.57 (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)))))))),
% 1.45/0.57 inference(definition_unfolding,[],[f166,f206])).
% 1.45/0.57 thf(f166,plain,(
% 1.45/0.57 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
% 1.45/0.57 inference(cnf_transformation,[],[f81])).
% 1.45/0.57 thf(f81,plain,(
% 1.45/0.57 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
% 1.45/0.57 inference(fool_elimination,[],[f80])).
% 1.45/0.57 thf(f80,plain,(
% 1.45/0.57 (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
% 1.45/0.57 inference(rectify,[],[f39])).
% 1.45/0.57 thf(f39,axiom,(
% 1.45/0.57 (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
% 1.45/0.57 file('/export/starexec/sandbox2/tmp/tmp.SYfwvESB4i/Vampire---4.8_13489',ec)).
% 1.45/0.57 thf(f209,plain,(
% 1.45/0.57 (pp = (^[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))))))),
% 1.45/0.57 inference(definition_unfolding,[],[f183,f173,f173])).
% 1.45/0.57 thf(f183,plain,(
% 1.45/0.57 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))),
% 1.45/0.57 inference(cnf_transformation,[],[f144])).
% 1.45/0.57 thf(f144,plain,(
% 1.45/0.57 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))),
% 1.45/0.57 inference(fool_elimination,[],[f143])).
% 1.45/0.57 thf(f143,plain,(
% 1.45/0.57 ((^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))) = pp)),
% 1.45/0.57 inference(rectify,[],[f40])).
% 1.45/0.57 thf(f40,axiom,(
% 1.45/0.57 ((^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))) = pp)),
% 1.45/0.57 file('/export/starexec/sandbox2/tmp/tmp.SYfwvESB4i/Vampire---4.8_13489',pp)).
% 1.45/0.57 thf(f172,plain,(
% 1.45/0.57 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
% 1.45/0.57 inference(cnf_transformation,[],[f99])).
% 1.45/0.57 thf(f99,plain,(
% 1.45/0.57 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
% 1.45/0.57 inference(fool_elimination,[],[f98])).
% 1.45/0.57 thf(f98,plain,(
% 1.45/0.57 ((^[X0 : reg, X1 : reg] : (~? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)) & (pp @ X0 @ X1))) = ntpp)),
% 1.45/0.57 inference(rectify,[],[f42])).
% 1.45/0.57 thf(f42,axiom,(
% 1.45/0.57 ((^[X0 : reg, X1 : reg] : (~? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)) & (pp @ X0 @ X1))) = ntpp)),
% 1.45/0.57 file('/export/starexec/sandbox2/tmp/tmp.SYfwvESB4i/Vampire---4.8_13489',ntpp)).
% 1.45/0.57 thf(f149,plain,(
% 1.45/0.57 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))))),
% 1.45/0.57 inference(cnf_transformation,[],[f61])).
% 1.45/0.57 thf(f61,plain,(
% 1.45/0.57 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))))),
% 1.45/0.57 inference(fool_elimination,[],[f60])).
% 1.45/0.57 thf(f60,plain,(
% 1.45/0.57 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 1.45/0.57 inference(rectify,[],[f48])).
% 1.45/0.57 thf(f48,axiom,(
% 1.45/0.57 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 1.45/0.57 file('/export/starexec/sandbox2/tmp/tmp.SYfwvESB4i/Vampire---4.8_13489',ax3)).
% 1.45/0.57 thf(f384,plain,(
% 1.45/0.57 ~spl0_4),
% 1.45/0.57 inference(avatar_contradiction_clause,[],[f383])).
% 1.45/0.57 thf(f383,plain,(
% 1.45/0.57 $false | ~spl0_4),
% 1.45/0.57 inference(trivial_inequality_removal,[],[f382])).
% 1.45/0.57 thf(f382,plain,(
% 1.45/0.57 ($false = $true) | ~spl0_4),
% 1.45/0.57 inference(boolean_simplification,[],[f381])).
% 1.45/0.57 thf(f381,plain,(
% 1.45/0.57 ($false = ((!! @ reg @ (^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))))))) | $true)) | ~spl0_4),
% 1.45/0.57 inference(boolean_simplification,[],[f380])).
% 1.45/0.57 thf(f380,plain,(
% 1.45/0.57 ($false = ((!! @ reg @ (^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))))))) | (~ $false))) | ~spl0_4),
% 1.45/0.57 inference(forward_demodulation,[],[f379,f332])).
% 1.45/0.57 thf(f332,plain,(
% 1.45/0.57 ( ! [X2 : $i,X1 : $i] : (((a @ X1 @ X2) = $false)) ) | ~spl0_4),
% 1.45/0.57 inference(not_proxy_clausification,[],[f328])).
% 1.45/0.57 thf(f328,plain,(
% 1.45/0.57 ( ! [X2 : $i,X1 : $i] : (($true = (~ (a @ X1 @ X2)))) ) | ~spl0_4),
% 1.45/0.57 inference(avatar_component_clause,[],[f327])).
% 1.45/0.57 thf(f329,plain,(
% 1.45/0.57 spl0_3 | spl0_4),
% 1.45/0.57 inference(avatar_split_clause,[],[f322,f327,f324])).
% 1.45/0.57 thf(f322,plain,(
% 1.45/0.57 ( ! [X2 : $i,X1 : $i] : ((((?? @ 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 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))) = $true) | ($true = (~ (a @ X1 @ X2)))) )),
% 1.45/0.57 inference(binary_proxy_clausification,[],[f318])).
% 1.45/0.57 thf(f318,plain,(
% 1.45/0.57 ( ! [X2 : $i,X1 : $i] : (((((?? @ 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 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))) | (~ (a @ X1 @ X2))) = $true)) )),
% 1.45/0.57 inference(beta_eta_normalization,[],[f317])).
% 1.45/0.57 thf(f317,plain,(
% 1.45/0.57 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (((?? @ 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 @ spain) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))))) | (~ (a @ X1 @ Y0)))) @ X2) = $true)) )),
% 1.45/0.57 inference(pi_clausification,[],[f281])).
% 1.45/0.57 thf(f281,plain,(
% 1.45/0.57 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((?? @ 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 @ spain) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))))) | (~ (a @ X1 @ Y0))))))) )),
% 1.45/0.57 inference(beta_eta_normalization,[],[f280])).
% 1.45/0.57 thf(f280,plain,(
% 1.45/0.57 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))))) & ((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))))) | (~ (a @ Y0 @ Y1)))))) @ X1))) )),
% 1.45/0.57 inference(pi_clausification,[],[f224])).
% 1.45/0.57 thf(f224,plain,(
% 1.45/0.57 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))))) & ((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))))) | (~ (a @ Y0 @ Y1))))))))),
% 1.45/0.57 inference(beta_eta_normalization,[],[f214])).
% 1.45/0.57 thf(f214,plain,(
% 1.45/0.57 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ 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))))))) @ Y4 @ Y3)) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ catalunya @ spain)))))),
% 1.45/0.57 inference(definition_unfolding,[],[f164,f187,f165,f210])).
% 1.45/0.57 thf(f210,plain,(
% 1.45/0.57 (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))))))) @ Y3 @ Y2)) & ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3))))) @ Y0 @ Y1))))))),
% 1.45/0.57 inference(definition_unfolding,[],[f158,f208,f208,f209])).
% 1.45/0.57 thf(f158,plain,(
% 1.45/0.57 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
% 1.45/0.57 inference(cnf_transformation,[],[f63])).
% 1.45/0.57 thf(f63,plain,(
% 1.45/0.57 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
% 1.45/0.57 inference(fool_elimination,[],[f62])).
% 1.45/0.57 thf(f62,plain,(
% 1.45/0.57 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)))) = tpp)),
% 1.45/0.57 inference(rectify,[],[f41])).
% 1.45/0.57 thf(f41,axiom,(
% 1.45/0.57 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)))) = tpp)),
% 1.45/0.57 file('/export/starexec/sandbox2/tmp/tmp.SYfwvESB4i/Vampire---4.8_13489',tpp)).
% 1.45/0.57 thf(f164,plain,(
% 1.45/0.57 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
% 1.45/0.57 inference(cnf_transformation,[],[f91])).
% 1.45/0.57 thf(f91,plain,(
% 1.45/0.57 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
% 1.45/0.57 inference(fool_elimination,[],[f90])).
% 1.45/0.57 thf(f90,plain,(
% 1.45/0.57 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 1.45/0.57 inference(rectify,[],[f46])).
% 1.45/0.57 thf(f46,axiom,(
% 1.45/0.57 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 1.45/0.57 file('/export/starexec/sandbox2/tmp/tmp.SYfwvESB4i/Vampire---4.8_13489',ax1)).
% 1.45/0.57 % SZS output end Proof for Vampire---4
% 1.45/0.57 % (13608)------------------------------
% 1.45/0.57 % (13608)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.57 % (13608)Termination reason: Refutation
% 1.45/0.57
% 1.45/0.57 % (13608)Memory used [KB]: 7036
% 1.45/0.57 % (13608)Time elapsed: 0.166 s
% 1.45/0.57 % (13608)Instructions burned: 284 (million)
% 1.45/0.57 % (13608)------------------------------
% 1.45/0.57 % (13608)------------------------------
% 1.45/0.57 % (13596)Success in time 0.198 s
% 1.45/0.57 % Vampire---4.8 exiting
%------------------------------------------------------------------------------