TSTP Solution File: GEG011^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEG011^1 : 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/sandbox/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 05:08:21 EDT 2024
% Result : Theorem 0.23s 0.51s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEG011^1 : 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/sandbox/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
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TH0_THM_EQU_NAR problem
% 0.15/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.CqQd4wM5Gl/Vampire---4.8_11458
% 0.23/0.39 % (11714)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)
% 0.23/0.39 % (11712)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)
% 0.23/0.39 % (11710)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)
% 0.23/0.39 % (11713)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.23/0.39 % (11711)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)
% 0.23/0.39 % (11715)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)
% 0.23/0.39 % (11716)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.23/0.39 % (11717)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)
% 0.23/0.39 % (11713)Instruction limit reached!
% 0.23/0.39 % (11713)------------------------------
% 0.23/0.39 % (11713)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (11714)Instruction limit reached!
% 0.23/0.39 % (11714)------------------------------
% 0.23/0.39 % (11714)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (11714)Termination reason: Unknown
% 0.23/0.39 % (11714)Termination phase: shuffling
% 0.23/0.39
% 0.23/0.39 % (11714)Memory used [KB]: 1023
% 0.23/0.39 % (11714)Time elapsed: 0.002 s
% 0.23/0.39 % (11714)Instructions burned: 2 (million)
% 0.23/0.39 % (11714)------------------------------
% 0.23/0.39 % (11714)------------------------------
% 0.23/0.39 % (11713)Termination reason: Unknown
% 0.23/0.39 % (11713)Termination phase: shuffling
% 0.23/0.39
% 0.23/0.39 % (11713)Memory used [KB]: 1023
% 0.23/0.39 % (11713)Time elapsed: 0.003 s
% 0.23/0.39 % (11713)Instructions burned: 2 (million)
% 0.23/0.39 % (11713)------------------------------
% 0.23/0.39 % (11713)------------------------------
% 0.23/0.39 % (11717)Instruction limit reached!
% 0.23/0.39 % (11717)------------------------------
% 0.23/0.39 % (11717)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (11717)Termination reason: Unknown
% 0.23/0.39 % (11717)Termination phase: shuffling
% 0.23/0.39
% 0.23/0.39 % (11717)Memory used [KB]: 1023
% 0.23/0.39 % (11717)Time elapsed: 0.004 s
% 0.23/0.39 % (11717)Instructions burned: 3 (million)
% 0.23/0.39 % (11717)------------------------------
% 0.23/0.39 % (11717)------------------------------
% 0.23/0.39 % (11711)Instruction limit reached!
% 0.23/0.39 % (11711)------------------------------
% 0.23/0.39 % (11711)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (11711)Termination reason: Unknown
% 0.23/0.39 % (11711)Termination phase: shuffling
% 0.23/0.39
% 0.23/0.39 % (11711)Memory used [KB]: 1151
% 0.23/0.39 % (11711)Time elapsed: 0.005 s
% 0.23/0.39 % (11711)Instructions burned: 5 (million)
% 0.23/0.39 % (11711)------------------------------
% 0.23/0.39 % (11711)------------------------------
% 0.23/0.40 % (11715)Refutation not found, incomplete strategy
% 0.23/0.40 % (11715)------------------------------
% 0.23/0.40 % (11715)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (11715)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.40
% 0.23/0.40
% 0.23/0.40 % (11715)Memory used [KB]: 5628
% 0.23/0.40 % (11715)Time elapsed: 0.011 s
% 0.23/0.40 % (11715)Instructions burned: 15 (million)
% 0.23/0.40 % (11715)------------------------------
% 0.23/0.40 % (11715)------------------------------
% 0.23/0.40 % (11716)Instruction limit reached!
% 0.23/0.40 % (11716)------------------------------
% 0.23/0.40 % (11716)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (11716)Termination reason: Unknown
% 0.23/0.40 % (11716)Termination phase: Saturation
% 0.23/0.40
% 0.23/0.40 % (11716)Memory used [KB]: 5628
% 0.23/0.40 % (11716)Time elapsed: 0.011 s
% 0.23/0.40 % (11716)Instructions burned: 18 (million)
% 0.23/0.40 % (11716)------------------------------
% 0.23/0.40 % (11716)------------------------------
% 0.23/0.40 % (11712)Instruction limit reached!
% 0.23/0.40 % (11712)------------------------------
% 0.23/0.40 % (11712)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (11712)Termination reason: Unknown
% 0.23/0.40 % (11712)Termination phase: Saturation
% 0.23/0.40
% 0.23/0.40 % (11712)Memory used [KB]: 5756
% 0.23/0.40 % (11712)Time elapsed: 0.016 s
% 0.23/0.40 % (11712)Instructions burned: 29 (million)
% 0.23/0.40 % (11712)------------------------------
% 0.23/0.40 % (11712)------------------------------
% 0.23/0.40 % (11719)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)
% 0.23/0.40 % (11718)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)
% 0.23/0.41 % (11720)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)
% 0.23/0.41 % (11721)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)
% 0.23/0.41 % (11720)Instruction limit reached!
% 0.23/0.41 % (11720)------------------------------
% 0.23/0.41 % (11720)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (11720)Termination reason: Unknown
% 0.23/0.41 % (11720)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (11720)Memory used [KB]: 1151
% 0.23/0.41 % (11720)Time elapsed: 0.004 s
% 0.23/0.41 % (11720)Instructions burned: 4 (million)
% 0.23/0.41 % (11720)------------------------------
% 0.23/0.41 % (11720)------------------------------
% 0.23/0.41 % (11719)Instruction limit reached!
% 0.23/0.41 % (11719)------------------------------
% 0.23/0.41 % (11719)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (11719)Termination reason: Unknown
% 0.23/0.41 % (11719)Termination phase: Property scanning
% 0.23/0.41
% 0.23/0.41 % (11719)Memory used [KB]: 1151
% 0.23/0.41 % (11719)Time elapsed: 0.009 s
% 0.23/0.41 % (11719)Instructions burned: 15 (million)
% 0.23/0.41 % (11719)------------------------------
% 0.23/0.41 % (11719)------------------------------
% 0.23/0.41 % (11722)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)
% 0.23/0.41 % (11723)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)
% 0.23/0.42 % (11722)Instruction limit reached!
% 0.23/0.42 % (11722)------------------------------
% 0.23/0.42 % (11722)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (11722)Termination reason: Unknown
% 0.23/0.42 % (11722)Termination phase: SInE selection
% 0.23/0.42
% 0.23/0.42 % (11722)Memory used [KB]: 1151
% 0.23/0.42 % (11722)Time elapsed: 0.006 s
% 0.23/0.42 % (11722)Instructions burned: 8 (million)
% 0.23/0.42 % (11722)------------------------------
% 0.23/0.42 % (11722)------------------------------
% 0.23/0.42 % (11724)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)
% 0.23/0.42 % (11724)Instruction limit reached!
% 0.23/0.42 % (11724)------------------------------
% 0.23/0.42 % (11724)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (11724)Termination reason: Unknown
% 0.23/0.42 % (11724)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (11724)Memory used [KB]: 1151
% 0.23/0.42 % (11724)Time elapsed: 0.004 s
% 0.23/0.42 % (11724)Instructions burned: 4 (million)
% 0.23/0.42 % (11724)------------------------------
% 0.23/0.42 % (11724)------------------------------
% 0.23/0.42 % (11718)Instruction limit reached!
% 0.23/0.42 % (11718)------------------------------
% 0.23/0.42 % (11718)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (11718)Termination reason: Unknown
% 0.23/0.42 % (11718)Termination phase: Saturation
% 0.23/0.42
% 0.23/0.42 % (11718)Memory used [KB]: 5756
% 0.23/0.42 % (11718)Time elapsed: 0.017 s
% 0.23/0.42 % (11718)Instructions burned: 37 (million)
% 0.23/0.42 % (11718)------------------------------
% 0.23/0.42 % (11718)------------------------------
% 0.23/0.42 % (11723)Instruction limit reached!
% 0.23/0.42 % (11723)------------------------------
% 0.23/0.42 % (11723)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (11723)Termination reason: Unknown
% 0.23/0.42 % (11723)Termination phase: Saturation
% 0.23/0.42
% 0.23/0.42 % (11723)Memory used [KB]: 5628
% 0.23/0.42 % (11723)Time elapsed: 0.010 s
% 0.23/0.42 % (11723)Instructions burned: 16 (million)
% 0.23/0.42 % (11723)------------------------------
% 0.23/0.42 % (11723)------------------------------
% 0.23/0.42 % (11725)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)
% 0.23/0.42 % (11725)Instruction limit reached!
% 0.23/0.42 % (11725)------------------------------
% 0.23/0.42 % (11725)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (11725)Termination reason: Unknown
% 0.23/0.42 % (11725)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (11725)Memory used [KB]: 1151
% 0.23/0.42 % (11725)Time elapsed: 0.004 s
% 0.23/0.42 % (11725)Instructions burned: 4 (million)
% 0.23/0.42 % (11725)------------------------------
% 0.23/0.42 % (11725)------------------------------
% 0.23/0.43 % (11726)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)
% 0.23/0.43 % (11726)Instruction limit reached!
% 0.23/0.43 % (11726)------------------------------
% 0.23/0.43 % (11726)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (11726)Termination reason: Unknown
% 0.23/0.43 % (11726)Termination phase: Property scanning
% 0.23/0.43
% 0.23/0.43 % (11726)Memory used [KB]: 1151
% 0.23/0.43 % (11726)Time elapsed: 0.006 s
% 0.23/0.43 % (11726)Instructions burned: 8 (million)
% 0.23/0.43 % (11726)------------------------------
% 0.23/0.43 % (11726)------------------------------
% 0.23/0.43 % (11727)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)
% 0.23/0.43 % (11727)Instruction limit reached!
% 0.23/0.43 % (11727)------------------------------
% 0.23/0.43 % (11727)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (11727)Termination reason: Unknown
% 0.23/0.43 % (11727)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (11727)Memory used [KB]: 1151
% 0.23/0.43 % (11727)Time elapsed: 0.004 s
% 0.23/0.43 % (11727)Instructions burned: 4 (million)
% 0.23/0.43 % (11727)------------------------------
% 0.23/0.43 % (11727)------------------------------
% 0.23/0.43 % (11728)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)
% 0.23/0.43 % (11729)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)
% 0.23/0.44 % (11730)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)
% 0.23/0.44 % (11728)Instruction limit reached!
% 0.23/0.44 % (11728)------------------------------
% 0.23/0.44 % (11728)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (11728)Termination reason: Unknown
% 0.23/0.44 % (11728)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (11728)Memory used [KB]: 1151
% 0.23/0.44 % (11728)Time elapsed: 0.004 s
% 0.23/0.44 % (11728)Instructions burned: 4 (million)
% 0.23/0.44 % (11728)------------------------------
% 0.23/0.44 % (11728)------------------------------
% 0.23/0.44 % (11731)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.23/0.44 % (11731)Instruction limit reached!
% 0.23/0.44 % (11731)------------------------------
% 0.23/0.44 % (11731)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (11731)Termination reason: Unknown
% 0.23/0.44 % (11731)Termination phase: Property scanning
% 0.23/0.44
% 0.23/0.44 % (11731)Memory used [KB]: 1151
% 0.23/0.44 % (11731)Time elapsed: 0.005 s
% 0.23/0.44 % (11731)Instructions burned: 6 (million)
% 0.23/0.44 % (11731)------------------------------
% 0.23/0.44 % (11731)------------------------------
% 0.23/0.44 % (11729)Instruction limit reached!
% 0.23/0.44 % (11729)------------------------------
% 0.23/0.44 % (11729)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (11729)Termination reason: Unknown
% 0.23/0.44 % (11729)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (11729)Memory used [KB]: 5756
% 0.23/0.44 % (11729)Time elapsed: 0.010 s
% 0.23/0.44 % (11729)Instructions burned: 18 (million)
% 0.23/0.44 % (11729)------------------------------
% 0.23/0.44 % (11729)------------------------------
% 0.23/0.45 % (11732)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)
% 0.23/0.45 % (11733)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)
% 0.23/0.45 % (11734)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.23/0.45 % (11736)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)
% 0.23/0.45 % (11732)Refutation not found, incomplete strategy
% 0.23/0.45 % (11732)------------------------------
% 0.23/0.45 % (11732)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (11732)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.45
% 0.23/0.45
% 0.23/0.45 % (11732)Memory used [KB]: 5628
% 0.23/0.45 % (11732)Time elapsed: 0.009 s
% 0.23/0.45 % (11732)Instructions burned: 13 (million)
% 0.23/0.45 % (11732)------------------------------
% 0.23/0.45 % (11732)------------------------------
% 0.23/0.45 % (11734)Instruction limit reached!
% 0.23/0.45 % (11734)------------------------------
% 0.23/0.45 % (11734)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (11734)Termination reason: Unknown
% 0.23/0.45 % (11734)Termination phase: Property scanning
% 0.23/0.45
% 0.23/0.45 % (11734)Memory used [KB]: 1151
% 0.23/0.45 % (11734)Time elapsed: 0.005 s
% 0.23/0.45 % (11734)Instructions burned: 5 (million)
% 0.23/0.45 % (11734)------------------------------
% 0.23/0.45 % (11734)------------------------------
% 0.23/0.46 % (11735)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)
% 0.23/0.46 % (11733)Instruction limit reached!
% 0.23/0.46 % (11733)------------------------------
% 0.23/0.46 % (11733)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (11733)Termination reason: Unknown
% 0.23/0.46 % (11733)Termination phase: Saturation
% 0.23/0.46
% 0.23/0.46 % (11733)Memory used [KB]: 5756
% 0.23/0.46 % (11733)Time elapsed: 0.013 s
% 0.23/0.46 % (11733)Instructions burned: 22 (million)
% 0.23/0.46 % (11733)------------------------------
% 0.23/0.46 % (11733)------------------------------
% 0.23/0.46 % (11735)Instruction limit reached!
% 0.23/0.46 % (11735)------------------------------
% 0.23/0.46 % (11735)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (11735)Termination reason: Unknown
% 0.23/0.46 % (11735)Termination phase: Property scanning
% 0.23/0.46
% 0.23/0.46 % (11735)Memory used [KB]: 1151
% 0.23/0.46 % (11735)Time elapsed: 0.006 s
% 0.23/0.46 % (11735)Instructions burned: 6 (million)
% 0.23/0.46 % (11735)------------------------------
% 0.23/0.46 % (11735)------------------------------
% 0.23/0.48 % (11740)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)
% 0.23/0.48 % (11741)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)
% 0.23/0.48 % (11751)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.23/0.48 % (11750)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)
% 0.23/0.49 % (11751)Instruction limit reached!
% 0.23/0.49 % (11751)------------------------------
% 0.23/0.49 % (11751)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (11751)Termination reason: Unknown
% 0.23/0.49 % (11751)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (11751)Memory used [KB]: 5628
% 0.23/0.49 % (11751)Time elapsed: 0.010 s
% 0.23/0.49 % (11751)Instructions burned: 17 (million)
% 0.23/0.49 % (11751)------------------------------
% 0.23/0.49 % (11751)------------------------------
% 0.23/0.49 % (11741)Refutation not found, incomplete strategy
% 0.23/0.49 % (11741)------------------------------
% 0.23/0.49 % (11741)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (11741)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.49
% 0.23/0.49
% 0.23/0.49 % (11741)Memory used [KB]: 5756
% 0.23/0.49 % (11741)Time elapsed: 0.040 s
% 0.23/0.49 % (11741)Instructions burned: 17 (million)
% 0.23/0.49 % (11741)------------------------------
% 0.23/0.49 % (11741)------------------------------
% 0.23/0.50 % (11736)First to succeed.
% 0.23/0.50 % (11760)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.23/0.50 % (11761)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.23/0.50 % (11760)Instruction limit reached!
% 0.23/0.50 % (11760)------------------------------
% 0.23/0.50 % (11760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50 % (11760)Termination reason: Unknown
% 0.23/0.50 % (11760)Termination phase: shuffling
% 0.23/0.50
% 0.23/0.50 % (11760)Memory used [KB]: 1151
% 0.23/0.50 % (11760)Time elapsed: 0.004 s
% 0.23/0.50 % (11760)Instructions burned: 4 (million)
% 0.23/0.50 % (11760)------------------------------
% 0.23/0.50 % (11760)------------------------------
% 0.23/0.51 % (11710)Instruction limit reached!
% 0.23/0.51 % (11710)------------------------------
% 0.23/0.51 % (11710)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (11710)Termination reason: Unknown
% 0.23/0.51 % (11710)Termination phase: Saturation
% 0.23/0.51
% 0.23/0.51 % (11710)Memory used [KB]: 7036
% 0.23/0.51 % (11710)Time elapsed: 0.120 s
% 0.23/0.51 % (11710)Instructions burned: 184 (million)
% 0.23/0.51 % (11710)------------------------------
% 0.23/0.51 % (11710)------------------------------
% 0.23/0.51 % (11736)Refutation found. Thanks to Tanya!
% 0.23/0.51 % SZS status Theorem for Vampire---4
% 0.23/0.51 % SZS output start Proof for Vampire---4
% 0.23/0.51 thf(type_def_5, type, mu: $tType).
% 0.23/0.51 thf(type_def_7, type, reg: $tType).
% 0.23/0.51 thf(func_def_0, type, mu: $tType).
% 0.23/0.51 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.23/0.51 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.51 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.23/0.51 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.51 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.51 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.51 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.51 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.51 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.51 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.23/0.51 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.23/0.51 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.23/0.51 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.23/0.51 thf(func_def_15, type, mtrue: $i > $o).
% 0.23/0.51 thf(func_def_16, type, mfalse: $i > $o).
% 0.23/0.51 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.23/0.51 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.23/0.51 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.23/0.51 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.23/0.51 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.23/0.51 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.23/0.51 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.23/0.51 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.23/0.51 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.23/0.51 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.23/0.51 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.23/0.51 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.23/0.51 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.23/0.51 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.23/0.51 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.23/0.51 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.23/0.51 thf(func_def_33, type, reg: $tType).
% 0.23/0.51 thf(func_def_34, type, c: reg > reg > $o).
% 0.23/0.51 thf(func_def_35, type, dc: reg > reg > $o).
% 0.23/0.51 thf(func_def_36, type, p: reg > reg > $o).
% 0.23/0.51 thf(func_def_37, type, eq: reg > reg > $o).
% 0.23/0.51 thf(func_def_38, type, o: reg > reg > $o).
% 0.23/0.51 thf(func_def_39, type, po: reg > reg > $o).
% 0.23/0.51 thf(func_def_40, type, ec: reg > reg > $o).
% 0.23/0.51 thf(func_def_41, type, pp: reg > reg > $o).
% 0.23/0.51 thf(func_def_42, type, tpp: reg > reg > $o).
% 0.23/0.51 thf(func_def_43, type, ntpp: reg > reg > $o).
% 0.23/0.51 thf(func_def_44, type, catalunya: reg).
% 0.23/0.51 thf(func_def_45, type, france: reg).
% 0.23/0.51 thf(func_def_46, type, spain: reg).
% 0.23/0.51 thf(func_def_47, type, paris: reg).
% 0.23/0.51 thf(func_def_48, type, a: $i > $i > $o).
% 0.23/0.51 thf(func_def_49, type, fool: $i > $i > $o).
% 0.23/0.51 thf(func_def_66, type, sK1: reg).
% 0.23/0.51 thf(func_def_67, type, sK2: reg > reg).
% 0.23/0.51 thf(func_def_68, type, sK3: reg > reg).
% 0.23/0.51 thf(func_def_69, type, sK4: reg > reg).
% 0.23/0.51 thf(func_def_70, type, sK5: $i > ($i > $o) > $i).
% 0.23/0.51 thf(func_def_71, type, sK6: reg).
% 0.23/0.51 thf(func_def_72, type, sK7: reg > reg).
% 0.23/0.51 thf(func_def_73, type, sK8: reg > reg).
% 0.23/0.51 thf(func_def_74, type, sK9: reg > reg).
% 0.23/0.51 thf(func_def_75, type, sK10: reg > reg).
% 0.23/0.51 thf(func_def_76, type, sK11: reg > reg).
% 0.23/0.51 thf(func_def_77, type, sK12: reg).
% 0.23/0.51 thf(func_def_80, type, sK15: reg).
% 0.23/0.51 thf(func_def_81, type, sK16: reg).
% 0.23/0.51 thf(func_def_82, type, sK17: reg > reg).
% 0.23/0.51 thf(func_def_83, type, sK18: reg > reg).
% 0.23/0.51 thf(func_def_84, type, sK19: reg > reg).
% 0.23/0.51 thf(func_def_85, type, sK20: reg).
% 0.23/0.51 thf(func_def_86, type, sK21: reg > reg).
% 0.23/0.51 thf(func_def_87, type, sK22: reg > reg).
% 0.23/0.51 thf(func_def_88, type, sK23: reg > reg).
% 0.23/0.51 thf(func_def_89, type, sK24: reg).
% 0.23/0.51 thf(func_def_90, type, sK25: reg).
% 0.23/0.51 thf(func_def_91, type, sK26: reg).
% 0.23/0.51 thf(func_def_92, type, sK27: $i > ($i > $o) > $i).
% 0.23/0.51 thf(func_def_93, type, sK28: reg > reg).
% 0.23/0.51 thf(func_def_94, type, sK29: reg > reg).
% 0.23/0.51 thf(func_def_95, type, sK30: $i > ($i > $o) > $i).
% 0.23/0.51 thf(f1067,plain,(
% 0.23/0.51 $false),
% 0.23/0.51 inference(avatar_sat_refutation,[],[f613,f618,f627,f632,f639,f711,f724,f876,f889,f930,f1021,f1066])).
% 0.23/0.51 thf(f1066,plain,(
% 0.23/0.51 ~spl0_13 | ~spl0_14 | ~spl0_15),
% 0.23/0.51 inference(avatar_contradiction_clause,[],[f1065])).
% 0.23/0.51 thf(f1065,plain,(
% 0.23/0.51 $false | (~spl0_13 | ~spl0_14 | ~spl0_15)),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f1064])).
% 0.23/0.51 thf(f1064,plain,(
% 0.23/0.51 ($true = $false) | (~spl0_13 | ~spl0_14 | ~spl0_15)),
% 0.23/0.51 inference(backward_demodulation,[],[f631,f1063])).
% 0.23/0.51 thf(f1063,plain,(
% 0.23/0.51 ($false = (c @ sK25 @ catalunya)) | (~spl0_13 | ~spl0_15)),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f1055])).
% 0.23/0.51 thf(f1055,plain,(
% 0.23/0.51 ($true = $false) | ($false = (c @ sK25 @ catalunya)) | (~spl0_13 | ~spl0_15)),
% 0.23/0.51 inference(superposition,[],[f1035,f635])).
% 0.23/0.51 thf(f635,plain,(
% 0.23/0.51 ( ! [X3 : reg] : (($true = (c @ X3 @ spain)) | ((c @ X3 @ catalunya) = $false)) ) | ~spl0_15),
% 0.23/0.51 inference(avatar_component_clause,[],[f634])).
% 0.23/0.51 thf(f634,plain,(
% 0.23/0.51 spl0_15 <=> ! [X3 : reg] : (((c @ X3 @ catalunya) = $false) | ($true = (c @ X3 @ spain)))),
% 0.23/0.51 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])).
% 0.23/0.51 thf(f1035,plain,(
% 0.23/0.51 ($false = (c @ sK25 @ spain)) | ~spl0_13),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f1025])).
% 0.23/0.51 thf(f1025,plain,(
% 0.23/0.51 ($false = (c @ sK25 @ spain)) | ($true = $false) | ~spl0_13),
% 0.23/0.51 inference(superposition,[],[f626,f376])).
% 0.23/0.51 thf(f376,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (($true = (c @ X1 @ sK15)) | ((c @ X1 @ spain) = $false)) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f375])).
% 0.23/0.51 thf(f375,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (($true = ((c @ X1 @ spain) => (c @ X1 @ sK15)))) )),
% 0.23/0.51 inference(beta_eta_normalization,[],[f374])).
% 0.23/0.51 thf(f374,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK15))) @ X1))) )),
% 0.23/0.51 inference(pi_clausification,[],[f367])).
% 0.23/0.51 thf(f367,plain,(
% 0.23/0.51 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK15)))))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f366])).
% 0.23/0.51 thf(f366,plain,(
% 0.23/0.51 ($true = ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ spain))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK15))))))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f364])).
% 0.23/0.51 thf(f364,plain,(
% 0.23/0.51 ($true = (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ spain))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK15))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK15)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ sK15))))))))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f362])).
% 0.23/0.51 thf(f362,plain,(
% 0.23/0.51 ($true = ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ spain))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK15))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK15)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ sK15))))))) & (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ france))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK15))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK15)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ sK15)))))))))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f360])).
% 0.23/0.51 thf(f360,plain,(
% 0.23/0.51 ((((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ spain))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK15))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK15)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ sK15))))))) & (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ france))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK15))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK15)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ sK15)))))))) => (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK15))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK15))))))) = $false)),
% 0.23/0.51 inference(beta_eta_normalization,[],[f359])).
% 0.23/0.51 thf(f359,plain,(
% 0.23/0.51 ($false = ((^[Y0 : reg]: (((((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ Y0))))))) & (((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ Y0))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ Y0)))))))) => (((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ Y0))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ Y0)))))))) @ sK15))),
% 0.23/0.51 inference(sigma_clausification,[],[f358])).
% 0.23/0.51 thf(f358,plain,(
% 0.23/0.51 ($false = (!! @ reg @ (^[Y0 : reg]: (((((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ Y0))))))) & (((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ Y0))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ Y0)))))))) => (((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ Y0))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ Y0))))))))))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f356])).
% 0.23/0.51 thf(f356,plain,(
% 0.23/0.51 (((!! @ reg @ (^[Y0 : reg]: (((((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ Y0))))))) & (((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ Y0))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ Y0)))))))) => (((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ Y0))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ Y0))))))))) | (~ (a @ sK13 @ sK14))) = $false)),
% 0.23/0.51 inference(beta_eta_normalization,[],[f355])).
% 0.23/0.51 thf(f355,plain,(
% 0.23/0.51 (((^[Y0 : $i]: ((!! @ reg @ (^[Y1 : reg]: (((((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ Y1))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ spain)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ Y1))))))) & (((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ Y1))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ france)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ Y1)))))))) => (((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ Y1))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ Y1))))))))) | (~ (a @ sK13 @ Y0)))) @ sK14) = $false)),
% 0.23/0.51 inference(sigma_clausification,[],[f354])).
% 0.23/0.51 thf(f354,plain,(
% 0.23/0.51 ($false = (!! @ $i @ (^[Y0 : $i]: ((!! @ reg @ (^[Y1 : reg]: (((((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ Y1))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ spain)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ Y1))))))) & (((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ Y1))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ france)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ Y1)))))))) => (((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ Y1))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ Y1))))))))) | (~ (a @ sK13 @ Y0))))))),
% 0.23/0.51 inference(beta_eta_normalization,[],[f353])).
% 0.23/0.51 thf(f353,plain,(
% 0.23/0.51 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ reg @ (^[Y2 : reg]: (((((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ spain) => (c @ Y3 @ Y2))))) & (~ (?? @ reg @ (^[Y3 : reg]: (((~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ spain)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (c @ Y3 @ spain)) & ((~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (c @ Y3 @ Y2))))))) & (((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ france) => (c @ Y3 @ Y2))))) & (~ (?? @ reg @ (^[Y3 : reg]: (((~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ france)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (c @ Y3 @ france)) & ((~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (c @ Y3 @ Y2)))))))) => (((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ catalunya) => (c @ Y3 @ Y2))))) & ((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ paris) => (c @ Y3 @ Y2))))))))) | (~ (a @ Y0 @ Y1)))))) @ sK13) = $false)),
% 0.23/0.51 inference(sigma_clausification,[],[f352])).
% 0.23/0.51 thf(f352,plain,(
% 0.23/0.51 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ reg @ (^[Y2 : reg]: (((((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ spain) => (c @ Y3 @ Y2))))) & (~ (?? @ reg @ (^[Y3 : reg]: (((~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ spain)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (c @ Y3 @ spain)) & ((~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (c @ Y3 @ Y2))))))) & (((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ france) => (c @ Y3 @ Y2))))) & (~ (?? @ reg @ (^[Y3 : reg]: (((~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ france)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (c @ Y3 @ france)) & ((~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (c @ Y3 @ Y2)))))))) => (((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ catalunya) => (c @ Y3 @ Y2))))) & ((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ paris) => (c @ Y3 @ Y2))))))))) | (~ (a @ Y0 @ Y1))))))))),
% 0.23/0.51 inference(beta_eta_normalization,[],[f216])).
% 0.23/0.51 thf(f216,plain,(
% 0.23/0.51 ($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]: (!! @ reg @ (^[Y1 : reg]: ((((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4)) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y4 @ Y5))))) @ Y2 @ Y3) & (~ (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: ((~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7))))))) @ Y5 @ Y6)) & (c @ Y5 @ Y6))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: ((~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7))))))) @ Y5 @ Y6)) & (c @ Y5 @ Y6))))) @ Y4 @ Y3))))))))) @ spain @ Y1) & ((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4)) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y4 @ Y5))))) @ Y2 @ Y3) & (~ (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: ((~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7))))))) @ Y5 @ Y6)) & (c @ Y5 @ Y6))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: ((~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7))))))) @ Y5 @ Y6)) & (c @ Y5 @ Y6))))) @ Y4 @ Y3))))))))) @ france @ 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))))) @ catalunya @ 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))))) @ paris @ Y1)))))))))),
% 0.23/0.51 inference(definition_unfolding,[],[f171,f176,f179,f212,f212,f210,f210])).
% 0.23/0.51 thf(f210,plain,(
% 0.23/0.51 (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))))))),
% 0.23/0.51 inference(definition_unfolding,[],[f167,f165,f165])).
% 0.23/0.51 thf(f165,plain,(
% 0.23/0.51 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.23/0.51 inference(cnf_transformation,[],[f81])).
% 0.23/0.51 thf(f81,plain,(
% 0.23/0.51 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.23/0.51 inference(fool_elimination,[],[f80])).
% 0.23/0.51 thf(f80,plain,(
% 0.23/0.51 ((^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))) = p)),
% 0.23/0.51 inference(rectify,[],[f35])).
% 0.23/0.51 thf(f35,axiom,(
% 0.23/0.51 ((^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))) = p)),
% 0.23/0.51 file('/export/starexec/sandbox/tmp/tmp.CqQd4wM5Gl/Vampire---4.8_11458',p)).
% 0.23/0.51 thf(f167,plain,(
% 0.23/0.51 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))),
% 0.23/0.51 inference(cnf_transformation,[],[f108])).
% 0.23/0.51 thf(f108,plain,(
% 0.23/0.51 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))),
% 0.23/0.51 inference(fool_elimination,[],[f107])).
% 0.23/0.51 thf(f107,plain,(
% 0.23/0.51 ((^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))) = pp)),
% 0.23/0.51 inference(rectify,[],[f40])).
% 0.23/0.51 thf(f40,axiom,(
% 0.23/0.51 ((^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))) = pp)),
% 0.23/0.51 file('/export/starexec/sandbox/tmp/tmp.CqQd4wM5Gl/Vampire---4.8_11458',pp)).
% 0.23/0.51 thf(f212,plain,(
% 0.23/0.51 (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]: ((~ ((^[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)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[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)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1))))))))))),
% 0.23/0.51 inference(definition_unfolding,[],[f162,f210,f209,f209])).
% 0.23/0.51 thf(f209,plain,(
% 0.23/0.51 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ ((^[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)) & (c @ Y0 @ Y1))))))),
% 0.23/0.51 inference(definition_unfolding,[],[f172,f207])).
% 0.23/0.51 thf(f207,plain,(
% 0.23/0.51 (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))))))))),
% 0.23/0.51 inference(definition_unfolding,[],[f183,f165,f165])).
% 0.23/0.51 thf(f183,plain,(
% 0.23/0.51 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))),
% 0.23/0.51 inference(cnf_transformation,[],[f87])).
% 0.23/0.51 thf(f87,plain,(
% 0.23/0.51 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))),
% 0.23/0.51 inference(fool_elimination,[],[f86])).
% 0.23/0.51 thf(f86,plain,(
% 0.23/0.51 (o = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X0) & (p @ X2 @ X1)))))),
% 0.23/0.51 inference(rectify,[],[f37])).
% 0.23/0.51 thf(f37,axiom,(
% 0.23/0.51 (o = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X0) & (p @ X11 @ X1)))))),
% 0.23/0.51 file('/export/starexec/sandbox/tmp/tmp.CqQd4wM5Gl/Vampire---4.8_11458',o)).
% 0.23/0.51 thf(f172,plain,(
% 0.23/0.51 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 0.23/0.51 inference(cnf_transformation,[],[f114])).
% 0.23/0.51 thf(f114,plain,(
% 0.23/0.51 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 0.23/0.51 inference(fool_elimination,[],[f113])).
% 0.23/0.51 thf(f113,plain,(
% 0.23/0.51 (ec = (^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))))),
% 0.23/0.51 inference(rectify,[],[f39])).
% 0.23/0.51 thf(f39,axiom,(
% 0.23/0.51 (ec = (^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))))),
% 0.23/0.51 file('/export/starexec/sandbox/tmp/tmp.CqQd4wM5Gl/Vampire---4.8_11458',ec)).
% 0.23/0.51 thf(f162,plain,(
% 0.23/0.51 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
% 0.23/0.51 inference(cnf_transformation,[],[f79])).
% 0.23/0.51 thf(f79,plain,(
% 0.23/0.51 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
% 0.23/0.51 inference(fool_elimination,[],[f78])).
% 0.23/0.51 thf(f78,plain,(
% 0.23/0.51 ((^[X0 : reg, X1 : reg] : (~? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)) & (pp @ X0 @ X1))) = ntpp)),
% 0.23/0.51 inference(rectify,[],[f42])).
% 0.23/0.51 thf(f42,axiom,(
% 0.23/0.51 ((^[X0 : reg, X1 : reg] : (~? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)) & (pp @ X0 @ X1))) = ntpp)),
% 0.23/0.51 file('/export/starexec/sandbox/tmp/tmp.CqQd4wM5Gl/Vampire---4.8_11458',ntpp)).
% 0.23/0.51 thf(f179,plain,(
% 0.23/0.51 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.23/0.51 inference(cnf_transformation,[],[f128])).
% 0.23/0.51 thf(f128,plain,(
% 0.23/0.51 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.23/0.51 inference(fool_elimination,[],[f127])).
% 0.23/0.51 thf(f127,plain,(
% 0.23/0.51 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))))),
% 0.23/0.51 inference(rectify,[],[f16])).
% 0.23/0.51 thf(f16,axiom,(
% 0.23/0.51 (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))))),
% 0.23/0.51 file('/export/starexec/sandbox/tmp/tmp.CqQd4wM5Gl/Vampire---4.8_11458',mbox)).
% 0.23/0.51 thf(f176,plain,(
% 0.23/0.51 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.51 inference(cnf_transformation,[],[f136])).
% 0.23/0.51 thf(f136,plain,(
% 0.23/0.51 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.51 inference(fool_elimination,[],[f135])).
% 0.23/0.51 thf(f135,plain,(
% 0.23/0.51 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.23/0.51 inference(rectify,[],[f28])).
% 0.23/0.51 thf(f28,axiom,(
% 0.23/0.51 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.23/0.51 file('/export/starexec/sandbox/tmp/tmp.CqQd4wM5Gl/Vampire---4.8_11458',mvalid)).
% 0.23/0.51 thf(f171,plain,(
% 0.23/0.51 ($true != (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((ntpp @ spain @ Y1) & (ntpp @ france @ Y1)) => ((pp @ catalunya @ Y1) & (pp @ paris @ Y1)))))))))),
% 0.23/0.51 inference(cnf_transformation,[],[f146])).
% 0.23/0.51 thf(f146,plain,(
% 0.23/0.51 ($true != (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((ntpp @ spain @ Y1) & (ntpp @ france @ Y1)) => ((pp @ catalunya @ Y1) & (pp @ paris @ Y1)))))))))),
% 0.23/0.51 inference(flattening,[],[f65])).
% 0.23/0.51 thf(f65,plain,(
% 0.23/0.51 ~($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((ntpp @ spain @ Y1) & (ntpp @ france @ Y1)) => ((pp @ catalunya @ Y1) & (pp @ paris @ Y1)))))))))),
% 0.23/0.51 inference(fool_elimination,[],[f64])).
% 0.23/0.51 thf(f64,plain,(
% 0.23/0.51 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X1 : reg] : (((ntpp @ france @ X1) & (ntpp @ spain @ X1)) => ((pp @ paris @ X1) & (pp @ catalunya @ X1)))))))),
% 0.23/0.51 inference(rectify,[],[f50])).
% 0.23/0.51 thf(f50,negated_conjecture,(
% 0.23/0.51 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X11 : reg] : (((ntpp @ france @ X11) & (ntpp @ spain @ X11)) => ((pp @ paris @ X11) & (pp @ catalunya @ X11)))))))),
% 0.23/0.51 inference(negated_conjecture,[],[f49])).
% 0.23/0.51 thf(f49,conjecture,(
% 0.23/0.51 (mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X11 : reg] : (((ntpp @ france @ X11) & (ntpp @ spain @ X11)) => ((pp @ paris @ X11) & (pp @ catalunya @ X11)))))))),
% 0.23/0.51 file('/export/starexec/sandbox/tmp/tmp.CqQd4wM5Gl/Vampire---4.8_11458',con)).
% 0.23/0.51 thf(f626,plain,(
% 0.23/0.51 ($false = (c @ sK25 @ sK15)) | ~spl0_13),
% 0.23/0.51 inference(avatar_component_clause,[],[f624])).
% 0.23/0.51 thf(f624,plain,(
% 0.23/0.51 spl0_13 <=> ($false = (c @ sK25 @ sK15))),
% 0.23/0.51 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])).
% 0.23/0.51 thf(f631,plain,(
% 0.23/0.51 ($true = (c @ sK25 @ catalunya)) | ~spl0_14),
% 0.23/0.51 inference(avatar_component_clause,[],[f629])).
% 0.23/0.51 thf(f629,plain,(
% 0.23/0.51 spl0_14 <=> ($true = (c @ sK25 @ catalunya))),
% 0.23/0.51 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])).
% 0.23/0.51 thf(f1021,plain,(
% 0.23/0.51 ~spl0_8 | ~spl0_12 | ~spl0_33),
% 0.23/0.51 inference(avatar_contradiction_clause,[],[f1020])).
% 0.23/0.51 thf(f1020,plain,(
% 0.23/0.51 $false | (~spl0_8 | ~spl0_12 | ~spl0_33)),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f1019])).
% 0.23/0.51 thf(f1019,plain,(
% 0.23/0.51 ($true = $false) | (~spl0_8 | ~spl0_12 | ~spl0_33)),
% 0.23/0.51 inference(backward_demodulation,[],[f622,f1018])).
% 0.23/0.51 thf(f1018,plain,(
% 0.23/0.51 ((c @ sK24 @ paris) = $false) | (~spl0_8 | ~spl0_33)),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f1010])).
% 0.23/0.51 thf(f1010,plain,(
% 0.23/0.51 ($true = $false) | ((c @ sK24 @ paris) = $false) | (~spl0_8 | ~spl0_33)),
% 0.23/0.51 inference(superposition,[],[f1008,f710])).
% 0.23/0.51 thf(f710,plain,(
% 0.23/0.51 ( ! [X3 : reg] : (($true = (c @ X3 @ france)) | ((c @ X3 @ paris) = $false)) ) | ~spl0_33),
% 0.23/0.51 inference(avatar_component_clause,[],[f709])).
% 0.23/0.51 thf(f709,plain,(
% 0.23/0.51 spl0_33 <=> ! [X3 : reg] : (($true = (c @ X3 @ france)) | ((c @ X3 @ paris) = $false))),
% 0.23/0.51 introduced(avatar_definition,[new_symbols(naming,[spl0_33])])).
% 0.23/0.51 thf(f1008,plain,(
% 0.23/0.51 ((c @ sK24 @ france) = $false) | ~spl0_8),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f1004])).
% 0.23/0.51 thf(f1004,plain,(
% 0.23/0.51 ($true = $false) | ((c @ sK24 @ france) = $false) | ~spl0_8),
% 0.23/0.51 inference(superposition,[],[f428,f605])).
% 0.23/0.51 thf(f605,plain,(
% 0.23/0.51 ((c @ sK24 @ sK15) = $false) | ~spl0_8),
% 0.23/0.51 inference(avatar_component_clause,[],[f603])).
% 0.23/0.51 thf(f603,plain,(
% 0.23/0.51 spl0_8 <=> ((c @ sK24 @ sK15) = $false)),
% 0.23/0.51 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 0.23/0.51 thf(f428,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (($true = (c @ X1 @ sK15)) | ((c @ X1 @ france) = $false)) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f427])).
% 0.23/0.51 thf(f427,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (($true = ((c @ X1 @ france) => (c @ X1 @ sK15)))) )),
% 0.23/0.51 inference(beta_eta_normalization,[],[f426])).
% 0.23/0.51 thf(f426,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK15))) @ X1))) )),
% 0.23/0.51 inference(pi_clausification,[],[f419])).
% 0.23/0.51 thf(f419,plain,(
% 0.23/0.51 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK15)))))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f418])).
% 0.23/0.51 thf(f418,plain,(
% 0.23/0.51 ($true = ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ france))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK15))))))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f363])).
% 0.23/0.51 thf(f363,plain,(
% 0.23/0.51 ($true = (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ france))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK15))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK15)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ sK15))))))))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f362])).
% 0.23/0.51 thf(f622,plain,(
% 0.23/0.51 ((c @ sK24 @ paris) = $true) | ~spl0_12),
% 0.23/0.51 inference(avatar_component_clause,[],[f620])).
% 0.23/0.51 thf(f620,plain,(
% 0.23/0.51 spl0_12 <=> ((c @ sK24 @ paris) = $true)),
% 0.23/0.51 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
% 0.23/0.51 thf(f930,plain,(
% 0.23/0.51 ~spl0_9 | ~spl0_11 | ~spl0_15),
% 0.23/0.51 inference(avatar_contradiction_clause,[],[f929])).
% 0.23/0.51 thf(f929,plain,(
% 0.23/0.51 $false | (~spl0_9 | ~spl0_11 | ~spl0_15)),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f928])).
% 0.23/0.51 thf(f928,plain,(
% 0.23/0.51 ($true = $false) | (~spl0_9 | ~spl0_11 | ~spl0_15)),
% 0.23/0.51 inference(backward_demodulation,[],[f617,f927])).
% 0.23/0.51 thf(f927,plain,(
% 0.23/0.51 ((c @ sK26 @ catalunya) = $false) | (~spl0_9 | ~spl0_15)),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f919])).
% 0.23/0.51 thf(f919,plain,(
% 0.23/0.51 ($true = $false) | ((c @ sK26 @ catalunya) = $false) | (~spl0_9 | ~spl0_15)),
% 0.23/0.51 inference(superposition,[],[f917,f635])).
% 0.23/0.51 thf(f917,plain,(
% 0.23/0.51 ((c @ sK26 @ spain) = $false) | ~spl0_9),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f914])).
% 0.23/0.51 thf(f914,plain,(
% 0.23/0.51 ((c @ sK26 @ spain) = $false) | ($true = $false) | ~spl0_9),
% 0.23/0.51 inference(superposition,[],[f376,f609])).
% 0.23/0.51 thf(f609,plain,(
% 0.23/0.51 ($false = (c @ sK26 @ sK15)) | ~spl0_9),
% 0.23/0.51 inference(avatar_component_clause,[],[f607])).
% 0.23/0.51 thf(f607,plain,(
% 0.23/0.51 spl0_9 <=> ($false = (c @ sK26 @ sK15))),
% 0.23/0.51 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 0.23/0.51 thf(f617,plain,(
% 0.23/0.51 ($true = (c @ sK26 @ catalunya)) | ~spl0_11),
% 0.23/0.51 inference(avatar_component_clause,[],[f615])).
% 0.23/0.51 thf(f615,plain,(
% 0.23/0.51 spl0_11 <=> ($true = (c @ sK26 @ catalunya))),
% 0.23/0.51 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
% 0.23/0.51 thf(f889,plain,(
% 0.23/0.51 ~spl0_10 | ~spl0_33),
% 0.23/0.51 inference(avatar_contradiction_clause,[],[f888])).
% 0.23/0.51 thf(f888,plain,(
% 0.23/0.51 $false | (~spl0_10 | ~spl0_33)),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f887])).
% 0.23/0.51 thf(f887,plain,(
% 0.23/0.51 ($true = $false) | (~spl0_10 | ~spl0_33)),
% 0.23/0.51 inference(backward_demodulation,[],[f425,f885])).
% 0.23/0.51 thf(f885,plain,(
% 0.23/0.51 ((c @ sK20 @ sK15) = $false) | (~spl0_10 | ~spl0_33)),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f880])).
% 0.23/0.51 thf(f880,plain,(
% 0.23/0.51 ($true = $false) | ((c @ sK20 @ sK15) = $false) | (~spl0_10 | ~spl0_33)),
% 0.23/0.51 inference(superposition,[],[f612,f844])).
% 0.23/0.51 thf(f844,plain,(
% 0.23/0.51 ($false = (c @ sK20 @ paris)) | ~spl0_33),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f842])).
% 0.23/0.51 thf(f842,plain,(
% 0.23/0.51 ($true = $false) | ($false = (c @ sK20 @ paris)) | ~spl0_33),
% 0.23/0.51 inference(superposition,[],[f424,f710])).
% 0.23/0.51 thf(f424,plain,(
% 0.23/0.51 ($false = (c @ sK20 @ france))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f423])).
% 0.23/0.51 thf(f423,plain,(
% 0.23/0.51 (((c @ sK20 @ sK15) => (c @ sK20 @ france)) = $false)),
% 0.23/0.51 inference(beta_eta_normalization,[],[f422])).
% 0.23/0.51 thf(f422,plain,(
% 0.23/0.51 (((^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ france))) @ sK20) = $false)),
% 0.23/0.51 inference(sigma_clausification,[],[f421])).
% 0.23/0.51 thf(f421,plain,(
% 0.23/0.51 ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ france)))))),
% 0.23/0.51 inference(not_proxy_clausification,[],[f420])).
% 0.23/0.51 thf(f420,plain,(
% 0.23/0.51 ($true = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ france))))))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f418])).
% 0.23/0.51 thf(f612,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (($true = (c @ X1 @ paris)) | ($false = (c @ X1 @ sK15))) ) | ~spl0_10),
% 0.23/0.51 inference(avatar_component_clause,[],[f611])).
% 0.23/0.51 thf(f611,plain,(
% 0.23/0.51 spl0_10 <=> ! [X1 : reg] : (($false = (c @ X1 @ sK15)) | ($true = (c @ X1 @ paris)))),
% 0.23/0.51 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 0.23/0.51 thf(f425,plain,(
% 0.23/0.51 ((c @ sK20 @ sK15) = $true)),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f423])).
% 0.23/0.51 thf(f876,plain,(
% 0.23/0.51 ~spl0_7 | ~spl0_15),
% 0.23/0.51 inference(avatar_contradiction_clause,[],[f875])).
% 0.23/0.51 thf(f875,plain,(
% 0.23/0.51 $false | (~spl0_7 | ~spl0_15)),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f874])).
% 0.23/0.51 thf(f874,plain,(
% 0.23/0.51 ($true = $false) | (~spl0_7 | ~spl0_15)),
% 0.23/0.51 inference(backward_demodulation,[],[f373,f872])).
% 0.23/0.51 thf(f872,plain,(
% 0.23/0.51 ((c @ sK16 @ sK15) = $false) | (~spl0_7 | ~spl0_15)),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f867])).
% 0.23/0.51 thf(f867,plain,(
% 0.23/0.51 ($true = $false) | ((c @ sK16 @ sK15) = $false) | (~spl0_7 | ~spl0_15)),
% 0.23/0.51 inference(superposition,[],[f601,f819])).
% 0.23/0.51 thf(f819,plain,(
% 0.23/0.51 ($false = (c @ sK16 @ catalunya)) | ~spl0_15),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f817])).
% 0.23/0.51 thf(f817,plain,(
% 0.23/0.51 ($false = (c @ sK16 @ catalunya)) | ($true = $false) | ~spl0_15),
% 0.23/0.51 inference(superposition,[],[f372,f635])).
% 0.23/0.51 thf(f372,plain,(
% 0.23/0.51 ((c @ sK16 @ spain) = $false)),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f371])).
% 0.23/0.51 thf(f371,plain,(
% 0.23/0.51 (((c @ sK16 @ sK15) => (c @ sK16 @ spain)) = $false)),
% 0.23/0.51 inference(beta_eta_normalization,[],[f370])).
% 0.23/0.51 thf(f370,plain,(
% 0.23/0.51 (((^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ spain))) @ sK16) = $false)),
% 0.23/0.51 inference(sigma_clausification,[],[f369])).
% 0.23/0.51 thf(f369,plain,(
% 0.23/0.51 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ spain)))) = $false)),
% 0.23/0.51 inference(not_proxy_clausification,[],[f368])).
% 0.23/0.51 thf(f368,plain,(
% 0.23/0.51 ($true = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ spain))))))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f366])).
% 0.23/0.51 thf(f601,plain,(
% 0.23/0.51 ( ! [X2 : reg] : (($true = (c @ X2 @ catalunya)) | ($false = (c @ X2 @ sK15))) ) | ~spl0_7),
% 0.23/0.51 inference(avatar_component_clause,[],[f600])).
% 0.23/0.51 thf(f600,plain,(
% 0.23/0.51 spl0_7 <=> ! [X2 : reg] : (($false = (c @ X2 @ sK15)) | ($true = (c @ X2 @ catalunya)))),
% 0.23/0.51 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 0.23/0.51 thf(f373,plain,(
% 0.23/0.51 ($true = (c @ sK16 @ sK15))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f371])).
% 0.23/0.51 thf(f724,plain,(
% 0.23/0.51 ~spl0_16),
% 0.23/0.51 inference(avatar_contradiction_clause,[],[f723])).
% 0.23/0.51 thf(f723,plain,(
% 0.23/0.51 $false | ~spl0_16),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f722])).
% 0.23/0.51 thf(f722,plain,(
% 0.23/0.51 ($true = $false) | ~spl0_16),
% 0.23/0.51 inference(backward_demodulation,[],[f513,f638])).
% 0.23/0.51 thf(f638,plain,(
% 0.23/0.51 ( ! [X2 : $i,X1 : $i] : (((a @ X1 @ X2) = $false)) ) | ~spl0_16),
% 0.23/0.51 inference(avatar_component_clause,[],[f637])).
% 0.23/0.51 thf(f637,plain,(
% 0.23/0.51 spl0_16 <=> ! [X2,X1] : ((a @ X1 @ X2) = $false)),
% 0.23/0.51 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
% 0.23/0.51 thf(f513,plain,(
% 0.23/0.51 ($true = (a @ sK13 @ sK14))),
% 0.23/0.51 inference(not_proxy_clausification,[],[f357])).
% 0.23/0.51 thf(f357,plain,(
% 0.23/0.51 ((~ (a @ sK13 @ sK14)) = $false)),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f356])).
% 0.23/0.51 thf(f711,plain,(
% 0.23/0.51 spl0_33 | spl0_16),
% 0.23/0.51 inference(avatar_split_clause,[],[f238,f637,f709])).
% 0.23/0.51 thf(f238,plain,(
% 0.23/0.51 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (c @ X3 @ france)) | ((a @ X1 @ X2) = $false) | ((c @ X3 @ paris) = $false)) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f237])).
% 0.23/0.51 thf(f237,plain,(
% 0.23/0.51 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = ((c @ X3 @ paris) => (c @ X3 @ france))) | ((a @ X1 @ X2) = $false)) )),
% 0.23/0.51 inference(beta_eta_normalization,[],[f236])).
% 0.23/0.51 thf(f236,plain,(
% 0.23/0.51 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X3)) | ((a @ X1 @ X2) = $false)) )),
% 0.23/0.51 inference(pi_clausification,[],[f229])).
% 0.23/0.51 thf(f229,plain,(
% 0.23/0.51 ( ! [X2 : $i,X1 : $i] : (((a @ X1 @ X2) = $false) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))))) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f228])).
% 0.23/0.51 thf(f228,plain,(
% 0.23/0.51 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))))) | ((a @ X1 @ X2) = $false)) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f226])).
% 0.23/0.51 thf(f226,plain,(
% 0.23/0.51 ( ! [X2 : $i,X1 : $i] : (($true = (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)))))))) | ((a @ X1 @ X2) = $false)) )),
% 0.23/0.51 inference(not_proxy_clausification,[],[f225])).
% 0.23/0.51 thf(f225,plain,(
% 0.23/0.51 ( ! [X2 : $i,X1 : $i] : (($true = (~ (a @ X1 @ X2))) | ($true = (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france))))))))) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f224])).
% 0.23/0.51 thf(f224,plain,(
% 0.23/0.51 ( ! [X2 : $i,X1 : $i] : (($true = ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france))))))) | (~ (a @ X1 @ X2))))) )),
% 0.23/0.51 inference(beta_eta_normalization,[],[f223])).
% 0.23/0.51 thf(f223,plain,(
% 0.23/0.51 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ paris)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france))))))) | (~ (a @ X1 @ Y0)))) @ X2))) )),
% 0.23/0.51 inference(pi_clausification,[],[f222])).
% 0.23/0.51 thf(f222,plain,(
% 0.23/0.51 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ paris)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france))))))) | (~ (a @ X1 @ Y0))))))) )),
% 0.23/0.51 inference(beta_eta_normalization,[],[f221])).
% 0.23/0.51 thf(f221,plain,(
% 0.23/0.51 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ paris)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ france))))))) | (~ (a @ Y0 @ Y1)))))) @ X1))) )),
% 0.23/0.51 inference(pi_clausification,[],[f220])).
% 0.23/0.51 thf(f220,plain,(
% 0.23/0.51 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ paris)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ france))))))) | (~ (a @ Y0 @ Y1))))))))),
% 0.23/0.51 inference(beta_eta_normalization,[],[f213])).
% 0.23/0.51 thf(f213,plain,(
% 0.23/0.51 ($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 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4))))) @ Y1 @ Y2) & (~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2))))))))) @ paris @ france)))))),
% 0.23/0.51 inference(definition_unfolding,[],[f160,f176,f179,f212])).
% 0.23/0.51 thf(f160,plain,(
% 0.23/0.51 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))))),
% 0.23/0.51 inference(cnf_transformation,[],[f126])).
% 0.23/0.51 thf(f126,plain,(
% 0.23/0.51 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))))),
% 0.23/0.51 inference(fool_elimination,[],[f125])).
% 0.23/0.51 thf(f125,plain,(
% 0.23/0.51 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 0.23/0.51 inference(rectify,[],[f48])).
% 0.23/0.51 thf(f48,axiom,(
% 0.23/0.51 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 0.23/0.51 file('/export/starexec/sandbox/tmp/tmp.CqQd4wM5Gl/Vampire---4.8_11458',ax3)).
% 0.23/0.51 thf(f639,plain,(
% 0.23/0.51 spl0_15 | spl0_16),
% 0.23/0.51 inference(avatar_split_clause,[],[f351,f637,f634])).
% 0.23/0.51 thf(f351,plain,(
% 0.23/0.51 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((a @ X1 @ X2) = $false) | ((c @ X3 @ catalunya) = $false) | ($true = (c @ X3 @ spain))) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f350])).
% 0.23/0.51 thf(f350,plain,(
% 0.23/0.51 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((a @ X1 @ X2) = $false) | ($true = ((c @ X3 @ catalunya) => (c @ X3 @ spain)))) )),
% 0.23/0.51 inference(not_proxy_clausification,[],[f349])).
% 0.23/0.51 thf(f349,plain,(
% 0.23/0.51 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (~ (a @ X1 @ X2))) | ($true = ((c @ X3 @ catalunya) => (c @ X3 @ spain)))) )),
% 0.23/0.51 inference(beta_eta_normalization,[],[f348])).
% 0.23/0.51 thf(f348,plain,(
% 0.23/0.51 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X3)) | ($true = (~ (a @ X1 @ X2)))) )),
% 0.23/0.51 inference(pi_clausification,[],[f340])).
% 0.23/0.51 thf(f340,plain,(
% 0.23/0.51 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))) | ($true = (~ (a @ X1 @ X2)))) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f299])).
% 0.23/0.51 thf(f299,plain,(
% 0.23/0.51 ( ! [X2 : $i,X1 : $i] : ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))) = $true) | ($true = (~ (a @ X1 @ X2)))) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f298])).
% 0.23/0.51 thf(f298,plain,(
% 0.23/0.51 ( ! [X2 : $i,X1 : $i] : (($true = ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))) | ($true = (~ (a @ X1 @ X2)))) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f297])).
% 0.23/0.51 thf(f297,plain,(
% 0.23/0.51 ( ! [X2 : $i,X1 : $i] : (($true = (((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))) | (~ (a @ X1 @ X2))))) )),
% 0.23/0.51 inference(beta_eta_normalization,[],[f296])).
% 0.23/0.51 thf(f296,plain,(
% 0.23/0.51 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ catalunya)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))))) | (~ (a @ X1 @ Y0)))) @ X2))) )),
% 0.23/0.51 inference(pi_clausification,[],[f295])).
% 0.23/0.51 thf(f295,plain,(
% 0.23/0.51 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ catalunya)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))))) | (~ (a @ X1 @ Y0))))))) )),
% 0.23/0.51 inference(beta_eta_normalization,[],[f294])).
% 0.23/0.51 thf(f294,plain,(
% 0.23/0.51 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ catalunya)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ spain))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))))) | (~ (a @ Y0 @ Y1)))))) @ X1))) )),
% 0.23/0.51 inference(pi_clausification,[],[f293])).
% 0.23/0.51 thf(f293,plain,(
% 0.23/0.51 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ catalunya)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ spain))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))))) | (~ (a @ Y0 @ Y1))))))))),
% 0.23/0.51 inference(beta_eta_normalization,[],[f214])).
% 0.23/0.51 thf(f214,plain,(
% 0.23/0.51 ($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]: ((~ ((^[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)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[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)) & (c @ 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)))))),
% 0.23/0.51 inference(definition_unfolding,[],[f166,f176,f179,f211])).
% 0.23/0.51 thf(f211,plain,(
% 0.23/0.51 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[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)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[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)) & (c @ 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))))))),
% 0.23/0.51 inference(definition_unfolding,[],[f156,f209,f209,f210])).
% 0.23/0.51 thf(f156,plain,(
% 0.23/0.51 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
% 0.23/0.51 inference(cnf_transformation,[],[f55])).
% 0.23/0.51 thf(f55,plain,(
% 0.23/0.51 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
% 0.23/0.51 inference(fool_elimination,[],[f54])).
% 0.23/0.51 thf(f54,plain,(
% 0.23/0.51 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)))) = tpp)),
% 0.23/0.51 inference(rectify,[],[f41])).
% 0.23/0.51 thf(f41,axiom,(
% 0.23/0.51 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)))) = tpp)),
% 0.23/0.51 file('/export/starexec/sandbox/tmp/tmp.CqQd4wM5Gl/Vampire---4.8_11458',tpp)).
% 0.23/0.51 thf(f166,plain,(
% 0.23/0.51 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
% 0.23/0.51 inference(cnf_transformation,[],[f142])).
% 0.23/0.51 thf(f142,plain,(
% 0.23/0.51 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
% 0.23/0.51 inference(fool_elimination,[],[f141])).
% 0.23/0.51 thf(f141,plain,(
% 0.23/0.51 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 0.23/0.51 inference(rectify,[],[f46])).
% 0.23/0.51 thf(f46,axiom,(
% 0.23/0.51 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 0.23/0.51 file('/export/starexec/sandbox/tmp/tmp.CqQd4wM5Gl/Vampire---4.8_11458',ax1)).
% 0.23/0.51 thf(f632,plain,(
% 0.23/0.51 spl0_7 | spl0_12 | spl0_10 | spl0_14),
% 0.23/0.51 inference(avatar_split_clause,[],[f486,f629,f611,f620,f600])).
% 0.23/0.51 thf(f486,plain,(
% 0.23/0.51 ( ! [X2 : reg,X1 : reg] : (($false = (c @ X2 @ sK15)) | ((c @ sK24 @ paris) = $true) | ($false = (c @ X1 @ sK15)) | ($true = (c @ sK25 @ catalunya)) | ($true = (c @ X1 @ paris)) | ($true = (c @ X2 @ catalunya))) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f485])).
% 0.23/0.51 thf(f485,plain,(
% 0.23/0.51 ( ! [X2 : reg,X1 : reg] : (($true = (c @ sK25 @ catalunya)) | ($false = (c @ X2 @ sK15)) | ((c @ sK24 @ paris) = $true) | ($true = (c @ X2 @ catalunya)) | ($true = ((c @ X1 @ sK15) => (c @ X1 @ paris)))) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f484])).
% 0.23/0.51 thf(f484,plain,(
% 0.23/0.51 ( ! [X2 : reg,X1 : reg] : (($true = (c @ sK25 @ catalunya)) | ($true = ((c @ X2 @ sK15) => (c @ X2 @ catalunya))) | ($true = ((c @ X1 @ sK15) => (c @ X1 @ paris))) | ((c @ sK24 @ paris) = $true)) )),
% 0.23/0.51 inference(beta_eta_normalization,[],[f483])).
% 0.23/0.51 thf(f483,plain,(
% 0.23/0.51 ( ! [X2 : reg,X1 : reg] : (($true = (c @ sK25 @ catalunya)) | ((c @ sK24 @ paris) = $true) | ($true = ((^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))) @ X2)) | ($true = ((c @ X1 @ sK15) => (c @ X1 @ paris)))) )),
% 0.23/0.51 inference(pi_clausification,[],[f482])).
% 0.23/0.51 thf(f482,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))))) | ((c @ sK24 @ paris) = $true) | ($true = ((c @ X1 @ sK15) => (c @ X1 @ paris))) | ($true = (c @ sK25 @ catalunya))) )),
% 0.23/0.51 inference(beta_eta_normalization,[],[f481])).
% 0.23/0.51 thf(f481,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (((c @ sK24 @ paris) = $true) | ($true = ((^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))) @ X1)) | ($true = (c @ sK25 @ catalunya)) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya)))))) )),
% 0.23/0.51 inference(pi_clausification,[],[f480])).
% 0.23/0.51 thf(f480,plain,(
% 0.23/0.51 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))))) | ((c @ sK24 @ paris) = $true) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))))) | ($true = (c @ sK25 @ catalunya))),
% 0.23/0.51 inference(not_proxy_clausification,[],[f479])).
% 0.23/0.51 thf(f479,plain,(
% 0.23/0.51 ((c @ sK24 @ paris) = $true) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya)))))) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))))) | ($true = (c @ sK25 @ catalunya))),
% 0.23/0.51 inference(not_proxy_clausification,[],[f478])).
% 0.23/0.51 thf(f478,plain,(
% 0.23/0.51 ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris)))))) | ((c @ sK24 @ paris) = $true) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya)))))) | ($true = (c @ sK25 @ catalunya))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f476])).
% 0.23/0.51 thf(f476,plain,(
% 0.23/0.51 ((c @ sK24 @ paris) = $true) | (((c @ sK25 @ catalunya) => (c @ sK25 @ sK15)) = $false) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris)))))) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))))))),
% 0.23/0.51 inference(beta_eta_normalization,[],[f475])).
% 0.23/0.51 thf(f475,plain,(
% 0.23/0.51 ($false = ((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK15))) @ sK25)) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris)))))) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya)))))) | ((c @ sK24 @ paris) = $true)),
% 0.23/0.51 inference(sigma_clausification,[],[f474])).
% 0.23/0.51 thf(f474,plain,(
% 0.23/0.51 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK15)))) = $false) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya)))))) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris)))))) | ((c @ sK24 @ paris) = $true)),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f472])).
% 0.23/0.51 thf(f472,plain,(
% 0.23/0.51 (((c @ sK24 @ paris) => (c @ sK24 @ sK15)) = $false) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya)))))) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK15)))) = $false) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))))))),
% 0.23/0.51 inference(beta_eta_normalization,[],[f471])).
% 0.23/0.51 thf(f471,plain,(
% 0.23/0.51 ($false = ((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK15))) @ sK24)) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris)))))) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya)))))) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK15)))) = $false)),
% 0.23/0.51 inference(sigma_clausification,[],[f470])).
% 0.23/0.51 thf(f470,plain,(
% 0.23/0.51 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK15)))) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK15)))) = $false) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya)))))) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))))))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f469])).
% 0.23/0.51 thf(f469,plain,(
% 0.23/0.51 ($false = ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK15)))))) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris)))))) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK15)))) = $false)),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f468])).
% 0.23/0.51 thf(f468,plain,(
% 0.23/0.51 ($false = ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK15)))))) | ($false = ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK15))))))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f361])).
% 0.23/0.51 thf(f361,plain,(
% 0.23/0.51 ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK15))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK15)))))) = $false)),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f360])).
% 0.23/0.51 thf(f627,plain,(
% 0.23/0.51 spl0_12 | spl0_7 | spl0_13 | spl0_10),
% 0.23/0.51 inference(avatar_split_clause,[],[f494,f611,f624,f600,f620])).
% 0.23/0.51 thf(f494,plain,(
% 0.23/0.51 ( ! [X2 : reg,X1 : reg] : (((c @ sK24 @ paris) = $true) | ($false = (c @ sK25 @ sK15)) | ($false = (c @ X2 @ sK15)) | ($true = (c @ X1 @ catalunya)) | ($true = (c @ X2 @ paris)) | ($false = (c @ X1 @ sK15))) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f493])).
% 0.23/0.51 thf(f493,plain,(
% 0.23/0.51 ( ! [X2 : reg,X1 : reg] : (((c @ sK24 @ paris) = $true) | ($true = ((c @ X2 @ sK15) => (c @ X2 @ paris))) | ($false = (c @ X1 @ sK15)) | ($false = (c @ sK25 @ sK15)) | ($true = (c @ X1 @ catalunya))) )),
% 0.23/0.51 inference(beta_eta_normalization,[],[f492])).
% 0.23/0.51 thf(f492,plain,(
% 0.23/0.51 ( ! [X2 : reg,X1 : reg] : (($false = (c @ X1 @ sK15)) | ($true = ((^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))) @ X2)) | ($false = (c @ sK25 @ sK15)) | ((c @ sK24 @ paris) = $true) | ($true = (c @ X1 @ catalunya))) )),
% 0.23/0.51 inference(pi_clausification,[],[f491])).
% 0.23/0.51 thf(f491,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))))) | ($false = (c @ sK25 @ sK15)) | ($true = (c @ X1 @ catalunya)) | ((c @ sK24 @ paris) = $true) | ($false = (c @ X1 @ sK15))) )),
% 0.23/0.51 inference(not_proxy_clausification,[],[f490])).
% 0.23/0.51 thf(f490,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (($true = (c @ X1 @ catalunya)) | ($false = (c @ sK25 @ sK15)) | ((c @ sK24 @ paris) = $true) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris)))))) | ($false = (c @ X1 @ sK15))) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f489])).
% 0.23/0.51 thf(f489,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (($true = ((c @ X1 @ sK15) => (c @ X1 @ catalunya))) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris)))))) | ($false = (c @ sK25 @ sK15)) | ((c @ sK24 @ paris) = $true)) )),
% 0.23/0.51 inference(beta_eta_normalization,[],[f488])).
% 0.23/0.51 thf(f488,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (($false = (c @ sK25 @ sK15)) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris)))))) | ((c @ sK24 @ paris) = $true) | ($true = ((^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))) @ X1))) )),
% 0.23/0.51 inference(pi_clausification,[],[f487])).
% 0.23/0.51 thf(f487,plain,(
% 0.23/0.51 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))))) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris)))))) | ($false = (c @ sK25 @ sK15)) | ((c @ sK24 @ paris) = $true)),
% 0.23/0.51 inference(not_proxy_clausification,[],[f477])).
% 0.23/0.51 thf(f477,plain,(
% 0.23/0.51 ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya)))))) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris)))))) | ((c @ sK24 @ paris) = $true) | ($false = (c @ sK25 @ sK15))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f476])).
% 0.23/0.51 thf(f618,plain,(
% 0.23/0.51 spl0_7 | spl0_8 | spl0_11 | spl0_10),
% 0.23/0.51 inference(avatar_split_clause,[],[f506,f611,f615,f603,f600])).
% 0.23/0.51 thf(f506,plain,(
% 0.23/0.51 ( ! [X2 : reg,X1 : reg] : (($true = (c @ X2 @ paris)) | ($false = (c @ X2 @ sK15)) | ($true = (c @ sK26 @ catalunya)) | ($true = (c @ X1 @ catalunya)) | ($false = (c @ X1 @ sK15)) | ((c @ sK24 @ sK15) = $false)) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f505])).
% 0.23/0.51 thf(f505,plain,(
% 0.23/0.51 ( ! [X2 : reg,X1 : reg] : (($true = (c @ X1 @ catalunya)) | ($true = (c @ sK26 @ catalunya)) | ($false = (c @ X1 @ sK15)) | ($true = ((c @ X2 @ sK15) => (c @ X2 @ paris))) | ((c @ sK24 @ sK15) = $false)) )),
% 0.23/0.51 inference(beta_eta_normalization,[],[f504])).
% 0.23/0.51 thf(f504,plain,(
% 0.23/0.51 ( ! [X2 : reg,X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))) @ X2)) | ($false = (c @ X1 @ sK15)) | ($true = (c @ X1 @ catalunya)) | ($true = (c @ sK26 @ catalunya)) | ((c @ sK24 @ sK15) = $false)) )),
% 0.23/0.51 inference(pi_clausification,[],[f503])).
% 0.23/0.51 thf(f503,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (($true = (c @ sK26 @ catalunya)) | ((c @ sK24 @ sK15) = $false) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))))) | ($true = (c @ X1 @ catalunya)) | ($false = (c @ X1 @ sK15))) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f502])).
% 0.23/0.51 thf(f502,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (((c @ sK24 @ sK15) = $false) | ($true = (c @ sK26 @ catalunya)) | ($true = ((c @ X1 @ sK15) => (c @ X1 @ catalunya))) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris)))))) )),
% 0.23/0.51 inference(beta_eta_normalization,[],[f501])).
% 0.23/0.51 thf(f501,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))))) | ((c @ sK24 @ sK15) = $false) | ($true = ((^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))) @ X1)) | ($true = (c @ sK26 @ catalunya))) )),
% 0.23/0.51 inference(pi_clausification,[],[f500])).
% 0.23/0.51 thf(f500,plain,(
% 0.23/0.51 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))))) | ((c @ sK24 @ sK15) = $false) | ($true = (c @ sK26 @ catalunya)) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris)))))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f498])).
% 0.23/0.51 thf(f498,plain,(
% 0.23/0.51 ($false = ((c @ sK26 @ catalunya) => (c @ sK26 @ sK15))) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))))) | ((c @ sK24 @ sK15) = $false) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya)))))),
% 0.23/0.51 inference(not_proxy_clausification,[],[f497])).
% 0.23/0.51 thf(f497,plain,(
% 0.23/0.51 ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris)))))) | ((c @ sK24 @ sK15) = $false) | ($false = ((c @ sK26 @ catalunya) => (c @ sK26 @ sK15))) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya)))))),
% 0.23/0.51 inference(beta_eta_normalization,[],[f496])).
% 0.23/0.51 thf(f496,plain,(
% 0.23/0.51 ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris)))))) | (((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK15))) @ sK26) = $false) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))))) | ((c @ sK24 @ sK15) = $false)),
% 0.23/0.51 inference(sigma_clausification,[],[f495])).
% 0.23/0.51 thf(f495,plain,(
% 0.23/0.51 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK15)))) = $false) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))))) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris)))))) | ((c @ sK24 @ sK15) = $false)),
% 0.23/0.51 inference(not_proxy_clausification,[],[f473])).
% 0.23/0.51 thf(f473,plain,(
% 0.23/0.51 ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya)))))) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK15)))) = $false) | ((c @ sK24 @ sK15) = $false) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))))))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f472])).
% 0.23/0.51 thf(f613,plain,(
% 0.23/0.51 spl0_7 | spl0_8 | spl0_9 | spl0_10),
% 0.23/0.51 inference(avatar_split_clause,[],[f512,f611,f607,f603,f600])).
% 0.23/0.51 thf(f512,plain,(
% 0.23/0.51 ( ! [X2 : reg,X1 : reg] : (($false = (c @ X1 @ sK15)) | ($false = (c @ X2 @ sK15)) | ($true = (c @ X1 @ paris)) | ($true = (c @ X2 @ catalunya)) | ($false = (c @ sK26 @ sK15)) | ((c @ sK24 @ sK15) = $false)) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f511])).
% 0.23/0.51 thf(f511,plain,(
% 0.23/0.51 ( ! [X2 : reg,X1 : reg] : (($false = (c @ sK26 @ sK15)) | ($false = (c @ X1 @ sK15)) | ($true = ((c @ X2 @ sK15) => (c @ X2 @ catalunya))) | ((c @ sK24 @ sK15) = $false) | ($true = (c @ X1 @ paris))) )),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f510])).
% 0.23/0.51 thf(f510,plain,(
% 0.23/0.51 ( ! [X2 : reg,X1 : reg] : (($true = ((c @ X1 @ sK15) => (c @ X1 @ paris))) | ($false = (c @ sK26 @ sK15)) | ($true = ((c @ X2 @ sK15) => (c @ X2 @ catalunya))) | ((c @ sK24 @ sK15) = $false)) )),
% 0.23/0.51 inference(beta_eta_normalization,[],[f509])).
% 0.23/0.51 thf(f509,plain,(
% 0.23/0.51 ( ! [X2 : reg,X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))) @ X2)) | ($true = ((c @ X1 @ sK15) => (c @ X1 @ paris))) | ((c @ sK24 @ sK15) = $false) | ($false = (c @ sK26 @ sK15))) )),
% 0.23/0.51 inference(pi_clausification,[],[f508])).
% 0.23/0.51 thf(f508,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (($false = (c @ sK26 @ sK15)) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))))) | ($true = ((c @ X1 @ sK15) => (c @ X1 @ paris))) | ((c @ sK24 @ sK15) = $false)) )),
% 0.23/0.51 inference(beta_eta_normalization,[],[f507])).
% 0.23/0.51 thf(f507,plain,(
% 0.23/0.51 ( ! [X1 : reg] : (($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))))) | ((c @ sK24 @ sK15) = $false) | ($true = ((^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))) @ X1)) | ($false = (c @ sK26 @ sK15))) )),
% 0.23/0.51 inference(pi_clausification,[],[f499])).
% 0.23/0.51 thf(f499,plain,(
% 0.23/0.51 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ paris))))) | ((c @ sK24 @ sK15) = $false) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK15) => (c @ Y0 @ catalunya))))) | ($false = (c @ sK26 @ sK15))),
% 0.23/0.51 inference(binary_proxy_clausification,[],[f498])).
% 0.23/0.51 % SZS output end Proof for Vampire---4
% 0.23/0.51 % (11736)------------------------------
% 0.23/0.51 % (11736)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (11736)Termination reason: Refutation
% 0.23/0.51
% 0.23/0.51 % (11736)Memory used [KB]: 6524
% 0.23/0.51 % (11736)Time elapsed: 0.079 s
% 0.23/0.51 % (11736)Instructions burned: 91 (million)
% 0.23/0.51 % (11736)------------------------------
% 0.23/0.51 % (11736)------------------------------
% 0.23/0.51 % (11709)Success in time 0.139 s
% 0.23/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------