TSTP Solution File: GEG019^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEG019^1 : 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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:08:22 EDT 2024
% Result : Theorem 0.17s 0.55s
% Output : Refutation 1.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GEG019^1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.12 % 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
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 19:49:38 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TH0_THM_EQU_NAR problem
% 0.11/0.33 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.2y4TW3rUPh/Vampire---4.8_27608
% 0.11/0.34 % (27725)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)
% 0.11/0.34 % (27723)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.11/0.34 % (27722)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)
% 0.11/0.34 % (27724)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)
% 0.11/0.34 % (27726)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.11/0.34 % (27721)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)
% 0.11/0.34 % (27727)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)
% 0.11/0.34 % (27723)Instruction limit reached!
% 0.11/0.34 % (27723)------------------------------
% 0.11/0.34 % (27723)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (27723)Termination reason: Unknown
% 0.11/0.34 % (27723)Termination phase: shuffling
% 0.11/0.34
% 0.11/0.34 % (27723)Memory used [KB]: 1023
% 0.11/0.34 % (27723)Time elapsed: 0.003 s
% 0.11/0.34 % (27723)Instructions burned: 3 (million)
% 0.11/0.34 % (27723)------------------------------
% 0.11/0.34 % (27723)------------------------------
% 0.11/0.35 % (27724)Instruction limit reached!
% 0.11/0.35 % (27724)------------------------------
% 0.11/0.35 % (27724)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (27724)Termination reason: Unknown
% 0.11/0.35 % (27724)Termination phase: shuffling
% 0.11/0.35
% 0.11/0.35 % (27724)Memory used [KB]: 1023
% 0.11/0.35 % (27724)Time elapsed: 0.003 s
% 0.11/0.35 % (27724)Instructions burned: 3 (million)
% 0.11/0.35 % (27724)------------------------------
% 0.11/0.35 % (27724)------------------------------
% 0.11/0.35 % (27721)Instruction limit reached!
% 0.11/0.35 % (27721)------------------------------
% 0.11/0.35 % (27721)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (27721)Termination reason: Unknown
% 0.11/0.35 % (27721)Termination phase: shuffling
% 0.11/0.35
% 0.11/0.35 % (27721)Memory used [KB]: 1023
% 0.11/0.35 % (27721)Time elapsed: 0.003 s
% 0.11/0.35 % (27721)Instructions burned: 4 (million)
% 0.11/0.35 % (27721)------------------------------
% 0.11/0.35 % (27721)------------------------------
% 0.11/0.35 % (27720)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)
% 0.11/0.35 % (27727)Instruction limit reached!
% 0.11/0.35 % (27727)------------------------------
% 0.11/0.35 % (27727)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (27727)Termination reason: Unknown
% 0.11/0.35 % (27727)Termination phase: shuffling
% 0.11/0.35
% 0.11/0.35 % (27727)Memory used [KB]: 1023
% 0.11/0.35 % (27727)Time elapsed: 0.003 s
% 0.11/0.35 % (27727)Instructions burned: 3 (million)
% 0.11/0.35 % (27727)------------------------------
% 0.11/0.35 % (27727)------------------------------
% 0.11/0.35 % (27725)Refutation not found, incomplete strategy
% 0.11/0.35 % (27725)------------------------------
% 0.11/0.35 % (27725)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (27725)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.35
% 0.11/0.35
% 0.11/0.35 % (27725)Memory used [KB]: 5628
% 0.11/0.35 % (27725)Time elapsed: 0.009 s
% 0.11/0.35 % (27725)Instructions burned: 17 (million)
% 0.11/0.35 % (27725)------------------------------
% 0.11/0.35 % (27725)------------------------------
% 0.11/0.35 % (27726)Instruction limit reached!
% 0.11/0.35 % (27726)------------------------------
% 0.11/0.35 % (27726)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (27726)Termination reason: Unknown
% 0.11/0.35 % (27726)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (27726)Memory used [KB]: 5628
% 0.11/0.35 % (27726)Time elapsed: 0.010 s
% 0.11/0.35 % (27726)Instructions burned: 19 (million)
% 0.11/0.35 % (27726)------------------------------
% 0.11/0.35 % (27726)------------------------------
% 0.11/0.36 % (27722)Instruction limit reached!
% 0.11/0.36 % (27722)------------------------------
% 0.11/0.36 % (27722)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (27722)Termination reason: Unknown
% 0.11/0.36 % (27722)Termination phase: Saturation
% 0.11/0.36
% 0.11/0.36 % (27722)Memory used [KB]: 5756
% 0.11/0.36 % (27722)Time elapsed: 0.014 s
% 0.11/0.36 % (27722)Instructions burned: 28 (million)
% 0.11/0.36 % (27722)------------------------------
% 0.11/0.36 % (27722)------------------------------
% 0.11/0.36 % (27729)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)
% 0.11/0.36 % (27728)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)
% 0.11/0.36 % (27730)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)
% 0.11/0.36 % (27731)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)
% 0.11/0.36 % (27730)Instruction limit reached!
% 0.11/0.36 % (27730)------------------------------
% 0.11/0.36 % (27730)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (27730)Termination reason: Unknown
% 0.11/0.36 % (27730)Termination phase: shuffling
% 0.11/0.36
% 0.11/0.36 % (27730)Memory used [KB]: 1023
% 0.11/0.36 % (27730)Time elapsed: 0.003 s
% 0.11/0.36 % (27730)Instructions burned: 4 (million)
% 0.11/0.36 % (27730)------------------------------
% 0.11/0.36 % (27730)------------------------------
% 0.11/0.36 % (27729)Instruction limit reached!
% 0.11/0.36 % (27729)------------------------------
% 0.11/0.36 % (27729)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (27733)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)
% 0.11/0.36 % (27729)Termination reason: Unknown
% 0.11/0.36 % (27729)Termination phase: Saturation
% 0.11/0.36
% 0.11/0.36 % (27729)Memory used [KB]: 1151
% 0.11/0.36 % (27729)Time elapsed: 0.008 s
% 0.11/0.36 % (27729)Instructions burned: 16 (million)
% 0.11/0.36 % (27729)------------------------------
% 0.11/0.36 % (27729)------------------------------
% 0.11/0.37 % (27734)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)
% 0.11/0.37 % (27733)Instruction limit reached!
% 0.11/0.37 % (27733)------------------------------
% 0.11/0.37 % (27733)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (27733)Termination reason: Unknown
% 0.11/0.37 % (27733)Termination phase: Property scanning
% 0.11/0.37
% 0.11/0.37 % (27733)Memory used [KB]: 1151
% 0.11/0.37 % (27733)Time elapsed: 0.005 s
% 0.11/0.37 % (27733)Instructions burned: 7 (million)
% 0.11/0.37 % (27733)------------------------------
% 0.11/0.37 % (27733)------------------------------
% 0.11/0.37 % (27735)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)
% 0.11/0.37 % (27735)Instruction limit reached!
% 0.11/0.37 % (27735)------------------------------
% 0.11/0.37 % (27735)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (27735)Termination reason: Unknown
% 0.17/0.37 % (27735)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (27735)Memory used [KB]: 1023
% 0.17/0.37 % (27735)Time elapsed: 0.003 s
% 0.17/0.37 % (27735)Instructions burned: 3 (million)
% 0.17/0.37 % (27735)------------------------------
% 0.17/0.37 % (27735)------------------------------
% 0.17/0.37 % (27734)Instruction limit reached!
% 0.17/0.37 % (27734)------------------------------
% 0.17/0.37 % (27734)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (27734)Termination reason: Unknown
% 0.17/0.37 % (27734)Termination phase: Saturation
% 0.17/0.37
% 0.17/0.37 % (27734)Memory used [KB]: 5628
% 0.17/0.37 % (27734)Time elapsed: 0.009 s
% 0.17/0.37 % (27734)Instructions burned: 16 (million)
% 0.17/0.37 % (27734)------------------------------
% 0.17/0.37 % (27734)------------------------------
% 0.17/0.37 % (27736)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)
% 0.17/0.37 % (27728)Instruction limit reached!
% 0.17/0.37 % (27728)------------------------------
% 0.17/0.37 % (27728)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (27728)Termination reason: Unknown
% 0.17/0.37 % (27728)Termination phase: Saturation
% 0.17/0.37
% 0.17/0.37 % (27728)Memory used [KB]: 5884
% 0.17/0.37 % (27728)Time elapsed: 0.018 s
% 0.17/0.37 % (27728)Instructions burned: 37 (million)
% 0.17/0.37 % (27728)------------------------------
% 0.17/0.37 % (27728)------------------------------
% 0.17/0.37 % (27736)Instruction limit reached!
% 0.17/0.37 % (27736)------------------------------
% 0.17/0.37 % (27736)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (27736)Termination reason: Unknown
% 0.17/0.37 % (27736)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (27736)Memory used [KB]: 1023
% 0.17/0.37 % (27736)Time elapsed: 0.003 s
% 0.17/0.37 % (27736)Instructions burned: 4 (million)
% 0.17/0.38 % (27736)------------------------------
% 0.17/0.38 % (27736)------------------------------
% 0.17/0.38 % (27737)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)
% 0.17/0.38 % (27738)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)
% 0.17/0.38 % (27738)Instruction limit reached!
% 0.17/0.38 % (27738)------------------------------
% 0.17/0.38 % (27738)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (27738)Termination reason: Unknown
% 0.17/0.38 % (27738)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (27737)Instruction limit reached!
% 0.17/0.38 % (27737)------------------------------
% 0.17/0.38 % (27737)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (27737)Termination reason: Unknown
% 0.17/0.38 % (27737)Termination phase: Property scanning
% 0.17/0.38
% 0.17/0.38 % (27737)Memory used [KB]: 1151
% 0.17/0.38 % (27737)Time elapsed: 0.005 s
% 0.17/0.38 % (27737)Instructions burned: 7 (million)
% 0.17/0.38 % (27737)------------------------------
% 0.17/0.38 % (27737)------------------------------
% 0.17/0.38 % (27738)Memory used [KB]: 1023
% 0.17/0.38 % (27738)Time elapsed: 0.003 s
% 0.17/0.38 % (27738)Instructions burned: 3 (million)
% 0.17/0.38 % (27738)------------------------------
% 0.17/0.38 % (27738)------------------------------
% 0.17/0.38 % (27739)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)
% 0.17/0.39 % (27739)Instruction limit reached!
% 0.17/0.39 % (27739)------------------------------
% 0.17/0.39 % (27739)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (27739)Termination reason: Unknown
% 0.17/0.39 % (27739)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (27739)Memory used [KB]: 1151
% 0.17/0.39 % (27739)Time elapsed: 0.004 s
% 0.17/0.39 % (27739)Instructions burned: 5 (million)
% 0.17/0.39 % (27739)------------------------------
% 0.17/0.39 % (27739)------------------------------
% 0.17/0.39 % (27740)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)
% 0.17/0.39 % (27741)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)
% 0.17/0.39 % (27742)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.17/0.39 % (27742)Instruction limit reached!
% 0.17/0.39 % (27742)------------------------------
% 0.17/0.39 % (27742)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (27742)Termination reason: Unknown
% 0.17/0.39 % (27742)Termination phase: Preprocessing 3
% 0.17/0.39
% 0.17/0.39 % (27742)Memory used [KB]: 1151
% 0.17/0.39 % (27742)Time elapsed: 0.005 s
% 0.17/0.39 % (27742)Instructions burned: 8 (million)
% 0.17/0.39 % (27742)------------------------------
% 0.17/0.39 % (27742)------------------------------
% 0.17/0.39 % (27743)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)
% 0.17/0.39 % (27744)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)
% 0.17/0.40 % (27740)Instruction limit reached!
% 0.17/0.40 % (27740)------------------------------
% 0.17/0.40 % (27740)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (27740)Termination reason: Unknown
% 0.17/0.40 % (27740)Termination phase: Saturation
% 0.17/0.40
% 0.17/0.40 % (27740)Memory used [KB]: 5756
% 0.17/0.40 % (27740)Time elapsed: 0.032 s
% 0.17/0.40 % (27740)Instructions burned: 18 (million)
% 0.17/0.40 % (27740)------------------------------
% 0.17/0.40 % (27740)------------------------------
% 0.17/0.40 % (27745)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.17/0.40 % (27743)Refutation not found, incomplete strategy
% 0.17/0.40 % (27743)------------------------------
% 0.17/0.40 % (27743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (27743)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.40
% 0.17/0.40
% 0.17/0.40 % (27743)Memory used [KB]: 5628
% 0.17/0.40 % (27743)Time elapsed: 0.008 s
% 0.17/0.40 % (27743)Instructions burned: 11 (million)
% 0.17/0.40 % (27743)------------------------------
% 0.17/0.40 % (27743)------------------------------
% 0.17/0.40 % (27745)Instruction limit reached!
% 0.17/0.40 % (27745)------------------------------
% 0.17/0.40 % (27745)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (27745)Termination reason: Unknown
% 0.17/0.40 % (27745)Termination phase: Property scanning
% 0.17/0.40
% 0.17/0.40 % (27745)Memory used [KB]: 1151
% 0.17/0.40 % (27745)Time elapsed: 0.004 s
% 0.17/0.40 % (27745)Instructions burned: 5 (million)
% 0.17/0.40 % (27745)------------------------------
% 0.17/0.40 % (27745)------------------------------
% 0.17/0.40 % (27744)Instruction limit reached!
% 0.17/0.40 % (27744)------------------------------
% 0.17/0.40 % (27744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (27744)Termination reason: Unknown
% 0.17/0.40 % (27744)Termination phase: Saturation
% 0.17/0.40
% 0.17/0.40 % (27744)Memory used [KB]: 5756
% 0.17/0.40 % (27744)Time elapsed: 0.011 s
% 0.17/0.40 % (27744)Instructions burned: 21 (million)
% 0.17/0.40 % (27744)------------------------------
% 0.17/0.40 % (27744)------------------------------
% 0.17/0.40 % (27746)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)
% 0.17/0.41 % (27746)Instruction limit reached!
% 0.17/0.41 % (27746)------------------------------
% 0.17/0.41 % (27746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (27746)Termination reason: Unknown
% 0.17/0.41 % (27746)Termination phase: SInE selection
% 0.17/0.41
% 0.17/0.41 % (27746)Memory used [KB]: 1151
% 0.17/0.41 % (27746)Time elapsed: 0.005 s
% 0.17/0.41 % (27746)Instructions burned: 8 (million)
% 0.17/0.41 % (27746)------------------------------
% 0.17/0.41 % (27746)------------------------------
% 0.17/0.41 % (27747)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)
% 0.17/0.41 % (27748)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)
% 0.17/0.41 % (27749)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)
% 0.17/0.42 % (27750)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)
% 0.17/0.42 % (27751)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.17/0.42 % (27749)Instruction limit reached!
% 0.17/0.42 % (27749)------------------------------
% 0.17/0.42 % (27749)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (27749)Termination reason: Unknown
% 0.17/0.42 % (27749)Termination phase: Saturation
% 0.17/0.42
% 0.17/0.42 % (27749)Memory used [KB]: 5756
% 0.17/0.42 % (27749)Time elapsed: 0.010 s
% 0.17/0.42 % (27749)Instructions burned: 19 (million)
% 0.17/0.42 % (27749)------------------------------
% 0.17/0.42 % (27749)------------------------------
% 0.17/0.43 % (27751)Instruction limit reached!
% 0.17/0.43 % (27751)------------------------------
% 0.17/0.43 % (27751)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (27751)Termination reason: Unknown
% 0.17/0.43 % (27751)Termination phase: Saturation
% 0.17/0.43
% 0.17/0.43 % (27751)Memory used [KB]: 5628
% 0.17/0.43 % (27751)Time elapsed: 0.009 s
% 0.17/0.43 % (27751)Instructions burned: 17 (million)
% 0.17/0.43 % (27751)------------------------------
% 0.17/0.43 % (27751)------------------------------
% 0.17/0.44 % (27720)Instruction limit reached!
% 0.17/0.44 % (27720)------------------------------
% 0.17/0.44 % (27720)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (27720)Termination reason: Unknown
% 0.17/0.44 % (27720)Termination phase: Saturation
% 0.17/0.44
% 0.17/0.44 % (27720)Memory used [KB]: 7164
% 0.17/0.44 % (27720)Time elapsed: 0.092 s
% 0.17/0.44 % (27720)Instructions burned: 185 (million)
% 0.17/0.44 % (27720)------------------------------
% 0.17/0.44 % (27720)------------------------------
% 0.17/0.44 % (27752)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.17/0.44 % (27752)Instruction limit reached!
% 0.17/0.44 % (27752)------------------------------
% 0.17/0.44 % (27752)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (27752)Termination reason: Unknown
% 0.17/0.44 % (27752)Termination phase: shuffling
% 0.17/0.44
% 0.17/0.44 % (27752)Memory used [KB]: 1023
% 0.17/0.44 % (27752)Time elapsed: 0.003 s
% 0.17/0.44 % (27752)Instructions burned: 3 (million)
% 0.17/0.44 % (27752)------------------------------
% 0.17/0.44 % (27752)------------------------------
% 0.17/0.44 % (27753)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)
% 0.17/0.45 % (27754)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.17/0.45 % (27755)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 0.17/0.46 % (27753)Instruction limit reached!
% 0.17/0.46 % (27753)------------------------------
% 0.17/0.46 % (27753)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.46 % (27753)Termination reason: Unknown
% 0.17/0.46 % (27753)Termination phase: Saturation
% 0.17/0.46
% 0.17/0.46 % (27753)Memory used [KB]: 5756
% 0.17/0.46 % (27753)Time elapsed: 0.015 s
% 0.17/0.46 % (27753)Instructions burned: 30 (million)
% 0.17/0.46 % (27753)------------------------------
% 0.17/0.46 % (27753)------------------------------
% 0.17/0.47 % (27756)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.17/0.47 % (27756)Instruction limit reached!
% 0.17/0.47 % (27756)------------------------------
% 0.17/0.47 % (27756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.47 % (27756)Termination reason: Unknown
% 0.17/0.47 % (27756)Termination phase: shuffling
% 0.17/0.47
% 0.17/0.47 % (27756)Memory used [KB]: 1151
% 0.17/0.47 % (27756)Time elapsed: 0.004 s
% 0.17/0.47 % (27756)Instructions burned: 4 (million)
% 0.17/0.47 % (27756)------------------------------
% 0.17/0.47 % (27756)------------------------------
% 0.17/0.48 % (27757)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on Vampire---4 for (2998ds/20Mi)
% 0.17/0.49 % (27757)Instruction limit reached!
% 0.17/0.49 % (27757)------------------------------
% 0.17/0.49 % (27757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.49 % (27757)Termination reason: Unknown
% 0.17/0.49 % (27757)Termination phase: Saturation
% 0.17/0.49
% 0.17/0.49 % (27757)Memory used [KB]: 5628
% 0.17/0.49 % (27757)Time elapsed: 0.011 s
% 0.17/0.49 % (27757)Instructions burned: 20 (million)
% 0.17/0.49 % (27757)------------------------------
% 0.17/0.49 % (27757)------------------------------
% 0.17/0.50 % (27755)Instruction limit reached!
% 0.17/0.50 % (27755)------------------------------
% 0.17/0.50 % (27755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.50 % (27755)Termination reason: Unknown
% 0.17/0.50 % (27755)Termination phase: Saturation
% 0.17/0.50
% 0.17/0.50 % (27755)Memory used [KB]: 6012
% 0.17/0.50 % (27755)Time elapsed: 0.050 s
% 0.17/0.50 % (27755)Instructions burned: 100 (million)
% 0.17/0.50 % (27755)------------------------------
% 0.17/0.50 % (27755)------------------------------
% 0.17/0.51 % (27758)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (2998ds/86Mi)
% 0.17/0.51 % (27754)Instruction limit reached!
% 0.17/0.51 % (27754)------------------------------
% 0.17/0.51 % (27754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.51 % (27754)Termination reason: Unknown
% 0.17/0.51 % (27754)Termination phase: Saturation
% 0.17/0.51
% 0.17/0.51 % (27754)Memory used [KB]: 6268
% 0.17/0.51 % (27754)Time elapsed: 0.063 s
% 0.17/0.51 % (27754)Instructions burned: 127 (million)
% 0.17/0.51 % (27754)------------------------------
% 0.17/0.51 % (27754)------------------------------
% 0.17/0.51 % (27759)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on Vampire---4 for (2998ds/107Mi)
% 0.17/0.52 % (27760)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on Vampire---4 for (2998ds/39Mi)
% 0.17/0.54 % (27747)First to succeed.
% 0.17/0.54 % (27760)Instruction limit reached!
% 0.17/0.54 % (27760)------------------------------
% 0.17/0.54 % (27760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.54 % (27760)Termination reason: Unknown
% 0.17/0.54 % (27760)Termination phase: Saturation
% 0.17/0.54
% 0.17/0.54 % (27760)Memory used [KB]: 6012
% 0.17/0.54 % (27760)Time elapsed: 0.020 s
% 0.17/0.54 % (27760)Instructions burned: 40 (million)
% 0.17/0.54 % (27760)------------------------------
% 0.17/0.54 % (27760)------------------------------
% 0.17/0.55 % (27758)Instruction limit reached!
% 0.17/0.55 % (27758)------------------------------
% 0.17/0.55 % (27758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.55 % (27758)Termination reason: Unknown
% 0.17/0.55 % (27758)Termination phase: Saturation
% 0.17/0.55
% 0.17/0.55 % (27758)Memory used [KB]: 6396
% 0.17/0.55 % (27758)Time elapsed: 0.043 s
% 0.17/0.55 % (27758)Instructions burned: 86 (million)
% 0.17/0.55 % (27758)------------------------------
% 0.17/0.55 % (27758)------------------------------
% 0.17/0.55 % (27747)Refutation found. Thanks to Tanya!
% 0.17/0.55 % SZS status Theorem for Vampire---4
% 0.17/0.55 % SZS output start Proof for Vampire---4
% 0.17/0.55 thf(type_def_5, type, mu: $tType).
% 0.17/0.55 thf(type_def_7, type, reg: $tType).
% 0.17/0.55 thf(func_def_0, type, mu: $tType).
% 0.17/0.55 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.17/0.55 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_15, type, mtrue: $i > $o).
% 0.17/0.55 thf(func_def_16, type, mfalse: $i > $o).
% 0.17/0.55 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.17/0.55 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.17/0.55 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.17/0.55 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.17/0.55 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.17/0.55 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.17/0.55 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.17/0.55 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.17/0.55 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.17/0.55 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.17/0.55 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.17/0.55 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.17/0.55 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.17/0.55 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.17/0.55 thf(func_def_33, type, reg: $tType).
% 0.17/0.55 thf(func_def_34, type, c: reg > reg > $o).
% 0.17/0.55 thf(func_def_35, type, dc: reg > reg > $o).
% 0.17/0.55 thf(func_def_36, type, p: reg > reg > $o).
% 0.17/0.55 thf(func_def_37, type, eq: reg > reg > $o).
% 0.17/0.55 thf(func_def_38, type, o: reg > reg > $o).
% 0.17/0.55 thf(func_def_39, type, po: reg > reg > $o).
% 0.17/0.55 thf(func_def_40, type, ec: reg > reg > $o).
% 0.17/0.55 thf(func_def_41, type, pp: reg > reg > $o).
% 0.17/0.55 thf(func_def_42, type, tpp: reg > reg > $o).
% 0.17/0.55 thf(func_def_43, type, ntpp: reg > reg > $o).
% 0.17/0.55 thf(func_def_44, type, catalunya: reg).
% 0.17/0.55 thf(func_def_45, type, france: reg).
% 0.17/0.55 thf(func_def_46, type, spain: reg).
% 0.17/0.55 thf(func_def_47, type, paris: reg).
% 0.17/0.55 thf(func_def_48, type, a: $i > $i > $o).
% 0.17/0.55 thf(func_def_49, type, fool: $i > $i > $o).
% 0.17/0.55 thf(func_def_66, type, sK1: $i > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_69, type, sK4: reg).
% 0.17/0.55 thf(func_def_70, type, sK5: reg).
% 0.17/0.55 thf(func_def_71, type, sK6: reg).
% 0.17/0.55 thf(func_def_72, type, sK7: reg > reg).
% 0.17/0.55 thf(func_def_73, type, sK8: reg > reg).
% 0.17/0.55 thf(func_def_74, type, sK9: reg > reg).
% 0.17/0.55 thf(func_def_75, type, sK10: reg > reg).
% 0.17/0.55 thf(func_def_76, type, sK11: $i > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_77, type, sK12: reg).
% 0.17/0.55 thf(func_def_78, type, sK13: reg > reg).
% 0.17/0.55 thf(func_def_79, type, sK14: reg > reg).
% 0.17/0.55 thf(func_def_80, type, sK15: reg > reg).
% 0.17/0.55 thf(func_def_81, type, sK16: reg > reg).
% 0.17/0.55 thf(func_def_82, type, sK17: reg > reg).
% 0.17/0.55 thf(func_def_83, type, sK18: reg).
% 0.17/0.55 thf(func_def_84, type, sK19: reg > reg).
% 0.17/0.55 thf(func_def_85, type, sK20: reg > reg).
% 0.17/0.55 thf(func_def_86, type, sK21: reg).
% 0.17/0.55 thf(func_def_87, type, sK22: reg > reg).
% 0.17/0.55 thf(func_def_88, type, sK23: reg > reg).
% 0.17/0.55 thf(func_def_89, type, sK24: $i > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_90, type, ph25: !>[X0: $tType]:(X0)).
% 0.17/0.55 thf(f2892,plain,(
% 0.17/0.55 $false),
% 0.17/0.55 inference(avatar_sat_refutation,[],[f533,f563,f612,f616,f620,f624,f628,f629,f630,f631,f635,f639,f640,f641,f642,f643,f644,f645,f648,f2555,f2654,f2757,f2771,f2772,f2789,f2872,f2889,f2891])).
% 0.17/0.55 thf(f2891,plain,(
% 0.17/0.55 spl0_88 | ~spl0_33 | ~spl0_90),
% 0.17/0.55 inference(avatar_split_clause,[],[f2883,f2724,f626,f2715])).
% 0.17/0.55 thf(f2715,plain,(
% 0.17/0.55 spl0_88 <=> ((c @ (sK9 @ sK5) @ sK5) = $true)),
% 0.17/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_88])])).
% 0.17/0.55 thf(f626,plain,(
% 0.17/0.55 spl0_33 <=> ! [X2 : reg] : (($false = (c @ (sK10 @ X2) @ sK4)) | ((c @ (sK9 @ X2) @ X2) = $true))),
% 0.17/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_33])])).
% 0.17/0.55 thf(f2724,plain,(
% 0.17/0.55 spl0_90 <=> ((c @ (sK10 @ sK5) @ sK4) = $true)),
% 0.17/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_90])])).
% 0.17/0.55 thf(f2883,plain,(
% 0.17/0.55 ((c @ (sK9 @ sK5) @ sK5) = $true) | (~spl0_33 | ~spl0_90)),
% 0.17/0.55 inference(trivial_inequality_removal,[],[f2881])).
% 0.17/0.55 thf(f2881,plain,(
% 0.17/0.55 ((c @ (sK9 @ sK5) @ sK5) = $true) | ($false = $true) | (~spl0_33 | ~spl0_90)),
% 0.17/0.55 inference(superposition,[],[f627,f2726])).
% 0.17/0.55 thf(f2726,plain,(
% 0.17/0.55 ((c @ (sK10 @ sK5) @ sK4) = $true) | ~spl0_90),
% 0.17/0.55 inference(avatar_component_clause,[],[f2724])).
% 0.17/0.55 thf(f627,plain,(
% 0.17/0.55 ( ! [X2 : reg] : (($false = (c @ (sK10 @ X2) @ sK4)) | ((c @ (sK9 @ X2) @ X2) = $true)) ) | ~spl0_33),
% 0.17/0.55 inference(avatar_component_clause,[],[f626])).
% 0.17/0.55 thf(f2889,plain,(
% 0.17/0.55 ~spl0_10 | ~spl0_29 | ~spl0_88 | ~spl0_90),
% 0.17/0.55 inference(avatar_contradiction_clause,[],[f2888])).
% 0.17/0.55 thf(f2888,plain,(
% 0.17/0.55 $false | (~spl0_10 | ~spl0_29 | ~spl0_88 | ~spl0_90)),
% 0.17/0.55 inference(trivial_inequality_removal,[],[f2887])).
% 0.17/0.55 thf(f2887,plain,(
% 0.17/0.55 ($false = $true) | (~spl0_10 | ~spl0_29 | ~spl0_88 | ~spl0_90)),
% 0.17/0.55 inference(backward_demodulation,[],[f2851,f2886])).
% 0.17/0.55 thf(f2886,plain,(
% 0.17/0.55 ((c @ (sK9 @ sK5) @ france) = $false) | (~spl0_29 | ~spl0_90)),
% 0.17/0.55 inference(trivial_inequality_removal,[],[f2882])).
% 0.17/0.55 thf(f2882,plain,(
% 0.17/0.55 ($false = $true) | ((c @ (sK9 @ sK5) @ france) = $false) | (~spl0_29 | ~spl0_90)),
% 0.17/0.55 inference(superposition,[],[f611,f2726])).
% 0.17/0.55 thf(f611,plain,(
% 0.17/0.55 ( ! [X2 : reg] : (($false = (c @ (sK10 @ X2) @ sK4)) | ($false = (c @ (sK9 @ X2) @ france))) ) | ~spl0_29),
% 0.17/0.55 inference(avatar_component_clause,[],[f610])).
% 0.17/0.55 thf(f610,plain,(
% 0.17/0.55 spl0_29 <=> ! [X2 : reg] : (($false = (c @ (sK9 @ X2) @ france)) | ($false = (c @ (sK10 @ X2) @ sK4)))),
% 0.17/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_29])])).
% 0.17/0.55 thf(f2851,plain,(
% 0.17/0.55 ((c @ (sK9 @ sK5) @ france) = $true) | (~spl0_10 | ~spl0_88)),
% 0.17/0.55 inference(trivial_inequality_removal,[],[f2848])).
% 0.17/0.55 thf(f2848,plain,(
% 0.17/0.55 ($false = $true) | ((c @ (sK9 @ sK5) @ france) = $true) | (~spl0_10 | ~spl0_88)),
% 0.17/0.55 inference(superposition,[],[f2830,f532])).
% 0.17/0.55 thf(f532,plain,(
% 0.17/0.55 ( ! [X3 : reg] : (((c @ X3 @ paris) = $false) | ((c @ X3 @ france) = $true)) ) | ~spl0_10),
% 0.17/0.55 inference(avatar_component_clause,[],[f531])).
% 0.17/0.55 thf(f531,plain,(
% 0.17/0.55 spl0_10 <=> ! [X3 : reg] : (((c @ X3 @ paris) = $false) | ((c @ X3 @ france) = $true))),
% 0.17/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 0.17/0.55 thf(f2830,plain,(
% 0.17/0.55 ((c @ (sK9 @ sK5) @ paris) = $true) | ~spl0_88),
% 0.17/0.55 inference(trivial_inequality_removal,[],[f2824])).
% 0.17/0.55 thf(f2824,plain,(
% 0.17/0.55 ($false = $true) | ((c @ (sK9 @ sK5) @ paris) = $true) | ~spl0_88),
% 0.17/0.55 inference(superposition,[],[f2717,f259])).
% 0.17/0.55 thf(f259,plain,(
% 0.17/0.55 ( ! [X1 : reg] : (($false = (c @ X1 @ sK5)) | ((c @ X1 @ paris) = $true)) )),
% 0.17/0.55 inference(binary_proxy_clausification,[],[f258])).
% 0.17/0.55 thf(f258,plain,(
% 0.17/0.55 ( ! [X1 : reg] : ((((c @ X1 @ sK5) => (c @ X1 @ paris)) = $true)) )),
% 0.17/0.55 inference(beta_eta_normalization,[],[f257])).
% 0.17/0.55 thf(f257,plain,(
% 0.17/0.55 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ sK5) => (c @ Y0 @ paris))) @ X1) = $true)) )),
% 0.17/0.55 inference(pi_clausification,[],[f252])).
% 0.17/0.55 thf(f252,plain,(
% 0.17/0.55 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK5) => (c @ Y0 @ paris)))) = $true)),
% 0.17/0.55 inference(binary_proxy_clausification,[],[f251])).
% 0.17/0.55 thf(f251,plain,(
% 0.17/0.55 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK5) => (c @ Y0 @ sK4)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK5) => (c @ Y0 @ paris))))) = $true)),
% 0.17/0.55 inference(beta_eta_normalization,[],[f250])).
% 0.17/0.55 thf(f250,plain,(
% 0.17/0.55 (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))) @ sK5) = $true)),
% 0.17/0.55 inference(sigma_clausification,[],[f249])).
% 0.17/0.55 thf(f249,plain,(
% 0.17/0.55 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) = $true)),
% 0.17/0.55 inference(binary_proxy_clausification,[],[f247])).
% 0.17/0.55 thf(f247,plain,(
% 0.17/0.55 (((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))))) = $true)),
% 0.17/0.55 inference(binary_proxy_clausification,[],[f245])).
% 0.17/0.55 thf(f245,plain,(
% 0.17/0.55 ($false = (((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))))) => ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))))))),
% 0.17/0.55 inference(beta_eta_normalization,[],[f244])).
% 0.17/0.55 thf(f244,plain,(
% 0.17/0.55 (((^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))))) @ sK4) = $false)),
% 0.17/0.55 inference(sigma_clausification,[],[f241])).
% 0.17/0.55 thf(f241,plain,(
% 0.17/0.55 ((!! @ reg @ (^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))))))) = $false)),
% 0.17/0.55 inference(binary_proxy_clausification,[],[f240])).
% 0.17/0.55 thf(f240,plain,(
% 0.17/0.55 ($false = ((~ (a @ sK2 @ sK3)) | (!! @ reg @ (^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))))))))),
% 0.17/0.55 inference(beta_eta_normalization,[],[f239])).
% 0.17/0.55 thf(f239,plain,(
% 0.17/0.55 (((^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | (!! @ reg @ (^[Y1 : reg]: (((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))) => ((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))))))))))) @ sK3) = $false)),
% 0.17/0.55 inference(sigma_clausification,[],[f238])).
% 0.17/0.55 thf(f238,plain,(
% 0.17/0.55 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | (!! @ reg @ (^[Y1 : reg]: (((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))) => ((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))))))))))),
% 0.17/0.55 inference(beta_eta_normalization,[],[f237])).
% 0.17/0.55 thf(f237,plain,(
% 0.17/0.55 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (!! @ reg @ (^[Y2 : reg]: (((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris))))))) & (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))))))) => ((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))))) & (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain))))))))))))))) @ sK2))),
% 0.17/0.55 inference(sigma_clausification,[],[f236])).
% 0.17/0.55 thf(f236,plain,(
% 0.17/0.55 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (!! @ reg @ (^[Y2 : reg]: (((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris))))))) & (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))))))) => ((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))))) & (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))))))))))) != $true)),
% 0.17/0.55 inference(beta_eta_normalization,[],[f218])).
% 0.17/0.55 thf(f218,plain,(
% 0.17/0.55 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: ((((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y1 @ paris) & ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y1 @ catalunya)) => (((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y1 @ france) & ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y1 @ spain)))))))) != $true)),
% 0.17/0.55 inference(definition_unfolding,[],[f179,f175,f166,f207,f207,f207,f207])).
% 0.17/0.55 thf(f207,plain,(
% 0.17/0.55 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1))))))))),
% 0.17/0.55 inference(definition_unfolding,[],[f164,f165,f165])).
% 0.17/0.55 thf(f165,plain,(
% 0.17/0.55 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.17/0.55 inference(cnf_transformation,[],[f64])).
% 0.17/0.55 thf(f64,plain,(
% 0.17/0.55 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.17/0.55 inference(fool_elimination,[],[f63])).
% 0.17/0.55 thf(f63,plain,(
% 0.17/0.55 (p = (^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))))),
% 0.17/0.55 inference(rectify,[],[f35])).
% 0.17/0.55 thf(f35,axiom,(
% 0.17/0.55 (p = (^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))))),
% 0.17/0.55 file('/export/starexec/sandbox/tmp/tmp.2y4TW3rUPh/Vampire---4.8_27608',p)).
% 0.17/0.55 thf(f164,plain,(
% 0.17/0.55 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 0.17/0.55 inference(cnf_transformation,[],[f70])).
% 0.17/0.55 thf(f70,plain,(
% 0.17/0.55 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 0.17/0.55 inference(fool_elimination,[],[f69])).
% 0.17/0.55 thf(f69,plain,(
% 0.17/0.55 (o = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X1) & (p @ X2 @ X0)))))),
% 0.17/0.55 inference(rectify,[],[f37])).
% 0.17/0.55 thf(f37,axiom,(
% 0.17/0.55 (o = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X1) & (p @ X11 @ X0)))))),
% 0.17/0.55 file('/export/starexec/sandbox/tmp/tmp.2y4TW3rUPh/Vampire---4.8_27608',o)).
% 0.17/0.55 thf(f166,plain,(
% 0.17/0.55 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.17/0.55 inference(cnf_transformation,[],[f90])).
% 0.17/0.55 thf(f90,plain,(
% 0.17/0.55 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.17/0.55 inference(fool_elimination,[],[f89])).
% 0.17/0.55 thf(f89,plain,(
% 0.17/0.55 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox)),
% 0.17/0.55 inference(rectify,[],[f16])).
% 0.17/0.55 thf(f16,axiom,(
% 0.17/0.55 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox)),
% 0.17/0.55 file('/export/starexec/sandbox/tmp/tmp.2y4TW3rUPh/Vampire---4.8_27608',mbox)).
% 0.17/0.55 thf(f175,plain,(
% 0.17/0.55 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.17/0.55 inference(cnf_transformation,[],[f59])).
% 0.17/0.55 thf(f59,plain,(
% 0.17/0.55 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.17/0.55 inference(fool_elimination,[],[f58])).
% 0.17/0.55 thf(f58,plain,(
% 0.17/0.55 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.17/0.55 inference(rectify,[],[f28])).
% 0.17/0.55 thf(f28,axiom,(
% 0.17/0.55 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.17/0.55 file('/export/starexec/sandbox/tmp/tmp.2y4TW3rUPh/Vampire---4.8_27608',mvalid)).
% 0.17/0.55 thf(f179,plain,(
% 0.17/0.55 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((o @ Y1 @ paris) & (o @ Y1 @ catalunya)) => ((o @ Y1 @ france) & (o @ Y1 @ spain)))))))) != $true)),
% 0.17/0.55 inference(cnf_transformation,[],[f146])).
% 0.17/0.55 thf(f146,plain,(
% 0.17/0.55 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((o @ Y1 @ paris) & (o @ Y1 @ catalunya)) => ((o @ Y1 @ france) & (o @ Y1 @ spain)))))))) != $true)),
% 0.17/0.55 inference(flattening,[],[f131])).
% 0.17/0.55 thf(f131,plain,(
% 0.17/0.55 ~((mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((o @ Y1 @ paris) & (o @ Y1 @ catalunya)) => ((o @ Y1 @ france) & (o @ Y1 @ spain)))))))) = $true)),
% 0.17/0.55 inference(fool_elimination,[],[f130])).
% 0.17/0.55 thf(f130,plain,(
% 0.17/0.55 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X1 : reg] : (((o @ X1 @ catalunya) & (o @ X1 @ paris)) => ((o @ X1 @ spain) & (o @ X1 @ france)))))))),
% 0.17/0.55 inference(rectify,[],[f50])).
% 0.17/0.55 thf(f50,negated_conjecture,(
% 0.17/0.55 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X11 : reg] : (((o @ X11 @ catalunya) & (o @ X11 @ paris)) => ((o @ X11 @ spain) & (o @ X11 @ france)))))))),
% 0.17/0.55 inference(negated_conjecture,[],[f49])).
% 0.17/0.55 thf(f49,conjecture,(
% 0.17/0.55 (mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X11 : reg] : (((o @ X11 @ catalunya) & (o @ X11 @ paris)) => ((o @ X11 @ spain) & (o @ X11 @ france)))))))),
% 0.17/0.55 file('/export/starexec/sandbox/tmp/tmp.2y4TW3rUPh/Vampire---4.8_27608',con)).
% 0.17/0.55 thf(f2717,plain,(
% 0.17/0.55 ((c @ (sK9 @ sK5) @ sK5) = $true) | ~spl0_88),
% 0.17/0.55 inference(avatar_component_clause,[],[f2715])).
% 0.17/0.55 thf(f2872,plain,(
% 0.17/0.55 spl0_90 | ~spl0_10 | ~spl0_34 | ~spl0_88),
% 0.17/0.55 inference(avatar_split_clause,[],[f2865,f2715,f633,f531,f2724])).
% 0.17/0.55 thf(f633,plain,(
% 0.17/0.55 spl0_34 <=> ! [X2 : reg] : (($false = (c @ (sK9 @ X2) @ france)) | ((c @ (sK10 @ X2) @ X2) = $true))),
% 0.17/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_34])])).
% 0.17/0.55 thf(f2865,plain,(
% 0.17/0.55 ((c @ (sK10 @ sK5) @ sK4) = $true) | (~spl0_10 | ~spl0_34 | ~spl0_88)),
% 0.17/0.55 inference(trivial_inequality_removal,[],[f2864])).
% 0.17/0.55 thf(f2864,plain,(
% 0.17/0.55 ($false = $true) | ((c @ (sK10 @ sK5) @ sK4) = $true) | (~spl0_10 | ~spl0_34 | ~spl0_88)),
% 0.17/0.55 inference(superposition,[],[f256,f2859])).
% 0.17/0.55 thf(f2859,plain,(
% 0.17/0.55 ((c @ (sK10 @ sK5) @ sK5) = $true) | (~spl0_10 | ~spl0_34 | ~spl0_88)),
% 0.17/0.55 inference(trivial_inequality_removal,[],[f2856])).
% 0.17/0.55 thf(f2856,plain,(
% 0.17/0.55 ((c @ (sK10 @ sK5) @ sK5) = $true) | ($false = $true) | (~spl0_10 | ~spl0_34 | ~spl0_88)),
% 0.17/0.55 inference(superposition,[],[f2851,f634])).
% 0.17/0.55 thf(f634,plain,(
% 0.17/0.55 ( ! [X2 : reg] : (($false = (c @ (sK9 @ X2) @ france)) | ((c @ (sK10 @ X2) @ X2) = $true)) ) | ~spl0_34),
% 0.17/0.55 inference(avatar_component_clause,[],[f633])).
% 0.17/0.55 thf(f256,plain,(
% 0.17/0.55 ( ! [X1 : reg] : (($false = (c @ X1 @ sK5)) | ((c @ X1 @ sK4) = $true)) )),
% 0.17/0.55 inference(binary_proxy_clausification,[],[f255])).
% 0.17/0.55 thf(f255,plain,(
% 0.17/0.55 ( ! [X1 : reg] : ((((c @ X1 @ sK5) => (c @ X1 @ sK4)) = $true)) )),
% 0.17/0.55 inference(beta_eta_normalization,[],[f254])).
% 0.17/0.55 thf(f254,plain,(
% 0.17/0.55 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ sK5) => (c @ Y0 @ sK4))) @ X1) = $true)) )),
% 0.17/0.55 inference(pi_clausification,[],[f253])).
% 0.17/0.55 thf(f253,plain,(
% 0.17/0.55 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK5) => (c @ Y0 @ sK4)))) = $true)),
% 0.17/0.55 inference(binary_proxy_clausification,[],[f251])).
% 0.17/0.55 thf(f2789,plain,(
% 0.17/0.55 ~spl0_17 | ~spl0_74 | ~spl0_84),
% 0.17/0.55 inference(avatar_contradiction_clause,[],[f2788])).
% 0.17/0.55 thf(f2788,plain,(
% 0.17/0.55 $false | (~spl0_17 | ~spl0_74 | ~spl0_84)),
% 0.17/0.55 inference(trivial_inequality_removal,[],[f2787])).
% 0.17/0.55 thf(f2787,plain,(
% 0.17/0.55 ($false = $true) | (~spl0_17 | ~spl0_74 | ~spl0_84)),
% 0.17/0.55 inference(backward_demodulation,[],[f2630,f2782])).
% 0.17/0.55 thf(f2782,plain,(
% 0.17/0.55 ($false = (c @ (sK7 @ sK6) @ sK6)) | (~spl0_17 | ~spl0_74)),
% 0.17/0.55 inference(trivial_inequality_removal,[],[f2777])).
% 0.17/0.55 thf(f2777,plain,(
% 0.17/0.55 ($false = $true) | ($false = (c @ (sK7 @ sK6) @ sK6)) | (~spl0_17 | ~spl0_74)),
% 0.17/0.55 inference(superposition,[],[f771,f2519])).
% 0.17/0.55 thf(f2519,plain,(
% 0.17/0.55 ($false = (c @ (sK7 @ sK6) @ spain)) | ~spl0_74),
% 0.17/0.55 inference(avatar_component_clause,[],[f2517])).
% 0.17/0.55 thf(f2517,plain,(
% 0.17/0.55 spl0_74 <=> ($false = (c @ (sK7 @ sK6) @ spain))),
% 0.17/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_74])])).
% 0.17/0.55 thf(f771,plain,(
% 0.17/0.55 ( ! [X0 : reg] : (($true = (c @ X0 @ spain)) | ((c @ X0 @ sK6) = $false)) ) | ~spl0_17),
% 0.17/0.55 inference(trivial_inequality_removal,[],[f764])).
% 0.17/0.55 thf(f764,plain,(
% 0.17/0.55 ( ! [X0 : reg] : (($true = (c @ X0 @ spain)) | ($false = $true) | ((c @ X0 @ sK6) = $false)) ) | ~spl0_17),
% 0.17/0.55 inference(superposition,[],[f269,f562])).
% 0.17/0.55 thf(f562,plain,(
% 0.17/0.55 ( ! [X3 : reg] : (($false = (c @ X3 @ catalunya)) | ((c @ X3 @ spain) = $true)) ) | ~spl0_17),
% 0.17/0.55 inference(avatar_component_clause,[],[f561])).
% 0.17/0.55 thf(f561,plain,(
% 0.17/0.55 spl0_17 <=> ! [X3 : reg] : (((c @ X3 @ spain) = $true) | ($false = (c @ X3 @ catalunya)))),
% 0.17/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])).
% 0.17/0.55 thf(f269,plain,(
% 0.17/0.55 ( ! [X1 : reg] : (($true = (c @ X1 @ catalunya)) | ($false = (c @ X1 @ sK6))) )),
% 0.17/0.55 inference(binary_proxy_clausification,[],[f268])).
% 0.17/0.55 thf(f268,plain,(
% 0.17/0.55 ( ! [X1 : reg] : (($true = ((c @ X1 @ sK6) => (c @ X1 @ catalunya)))) )),
% 0.17/0.55 inference(beta_eta_normalization,[],[f267])).
% 0.17/0.55 thf(f267,plain,(
% 0.17/0.55 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ catalunya))) @ X1) = $true)) )),
% 0.17/0.55 inference(pi_clausification,[],[f262])).
% 0.17/0.55 thf(f262,plain,(
% 0.17/0.55 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ catalunya)))) = $true)),
% 0.17/0.55 inference(binary_proxy_clausification,[],[f261])).
% 0.17/0.55 thf(f261,plain,(
% 0.17/0.55 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ sK4)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ catalunya))))) = $true)),
% 0.17/0.55 inference(beta_eta_normalization,[],[f260])).
% 0.17/0.55 thf(f260,plain,(
% 0.17/0.55 ($true = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))) @ sK6))),
% 0.17/0.55 inference(sigma_clausification,[],[f248])).
% 0.17/0.55 thf(f248,plain,(
% 0.17/0.55 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))) = $true)),
% 0.17/0.55 inference(binary_proxy_clausification,[],[f247])).
% 0.17/0.55 thf(f2630,plain,(
% 0.17/0.55 ((c @ (sK7 @ sK6) @ sK6) = $true) | ~spl0_84),
% 0.17/0.55 inference(avatar_component_clause,[],[f2628])).
% 0.17/0.55 thf(f2628,plain,(
% 0.17/0.55 spl0_84 <=> ((c @ (sK7 @ sK6) @ sK6) = $true)),
% 0.17/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_84])])).
% 0.17/0.55 thf(f2772,plain,(
% 0.17/0.55 spl0_84 | ~spl0_31 | ~spl0_73),
% 1.61/0.55 inference(avatar_split_clause,[],[f2765,f2513,f618,f2628])).
% 1.61/0.55 thf(f618,plain,(
% 1.61/0.55 spl0_31 <=> ! [X1 : reg] : (($false = (c @ (sK8 @ X1) @ sK4)) | ((c @ (sK7 @ X1) @ X1) = $true))),
% 1.61/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_31])])).
% 1.61/0.55 thf(f2513,plain,(
% 1.61/0.55 spl0_73 <=> ((c @ (sK8 @ sK6) @ sK4) = $true)),
% 1.61/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_73])])).
% 1.61/0.55 thf(f2765,plain,(
% 1.61/0.55 ((c @ (sK7 @ sK6) @ sK6) = $true) | (~spl0_31 | ~spl0_73)),
% 1.61/0.55 inference(trivial_inequality_removal,[],[f2763])).
% 1.61/0.55 thf(f2763,plain,(
% 1.61/0.55 ((c @ (sK7 @ sK6) @ sK6) = $true) | ($false = $true) | (~spl0_31 | ~spl0_73)),
% 1.61/0.55 inference(superposition,[],[f619,f2515])).
% 1.61/0.55 thf(f2515,plain,(
% 1.61/0.55 ((c @ (sK8 @ sK6) @ sK4) = $true) | ~spl0_73),
% 1.61/0.55 inference(avatar_component_clause,[],[f2513])).
% 1.61/0.55 thf(f619,plain,(
% 1.61/0.55 ( ! [X1 : reg] : (($false = (c @ (sK8 @ X1) @ sK4)) | ((c @ (sK7 @ X1) @ X1) = $true)) ) | ~spl0_31),
% 1.61/0.55 inference(avatar_component_clause,[],[f618])).
% 1.61/0.55 thf(f2771,plain,(
% 1.61/0.55 spl0_74 | ~spl0_28 | ~spl0_73),
% 1.61/0.55 inference(avatar_split_clause,[],[f2766,f2513,f607,f2517])).
% 1.61/0.55 thf(f607,plain,(
% 1.61/0.55 spl0_28 <=> ! [X1 : reg] : (($false = (c @ (sK8 @ X1) @ sK4)) | ((c @ (sK7 @ X1) @ spain) = $false))),
% 1.61/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_28])])).
% 1.61/0.55 thf(f2766,plain,(
% 1.61/0.55 ($false = (c @ (sK7 @ sK6) @ spain)) | (~spl0_28 | ~spl0_73)),
% 1.61/0.55 inference(trivial_inequality_removal,[],[f2764])).
% 1.61/0.55 thf(f2764,plain,(
% 1.61/0.55 ($false = (c @ (sK7 @ sK6) @ spain)) | ($false = $true) | (~spl0_28 | ~spl0_73)),
% 1.61/0.55 inference(superposition,[],[f608,f2515])).
% 1.61/0.55 thf(f608,plain,(
% 1.61/0.55 ( ! [X1 : reg] : (($false = (c @ (sK8 @ X1) @ sK4)) | ((c @ (sK7 @ X1) @ spain) = $false)) ) | ~spl0_28),
% 1.61/0.55 inference(avatar_component_clause,[],[f607])).
% 1.61/0.55 thf(f2757,plain,(
% 1.61/0.55 spl0_88 | spl0_90 | ~spl0_35),
% 1.61/0.55 inference(avatar_split_clause,[],[f2703,f637,f2724,f2715])).
% 1.61/0.55 thf(f637,plain,(
% 1.61/0.55 spl0_35 <=> ! [X2 : reg] : (((c @ (sK10 @ X2) @ X2) = $true) | ((c @ (sK9 @ X2) @ X2) = $true))),
% 1.61/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_35])])).
% 1.61/0.55 thf(f2703,plain,(
% 1.61/0.55 ((c @ (sK10 @ sK5) @ sK4) = $true) | ((c @ (sK9 @ sK5) @ sK5) = $true) | ~spl0_35),
% 1.61/0.55 inference(trivial_inequality_removal,[],[f2689])).
% 1.61/0.55 thf(f2689,plain,(
% 1.61/0.55 ($false = $true) | ((c @ (sK9 @ sK5) @ sK5) = $true) | ((c @ (sK10 @ sK5) @ sK4) = $true) | ~spl0_35),
% 1.61/0.55 inference(superposition,[],[f638,f256])).
% 1.61/0.55 thf(f638,plain,(
% 1.61/0.55 ( ! [X2 : reg] : (((c @ (sK10 @ X2) @ X2) = $true) | ((c @ (sK9 @ X2) @ X2) = $true)) ) | ~spl0_35),
% 1.61/0.55 inference(avatar_component_clause,[],[f637])).
% 1.61/0.55 thf(f2654,plain,(
% 1.61/0.55 spl0_84 | spl0_73 | ~spl0_32),
% 1.61/0.55 inference(avatar_split_clause,[],[f2601,f622,f2513,f2628])).
% 1.61/0.55 thf(f622,plain,(
% 1.61/0.55 spl0_32 <=> ! [X1 : reg] : (((c @ (sK8 @ X1) @ X1) = $true) | ((c @ (sK7 @ X1) @ X1) = $true))),
% 1.61/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_32])])).
% 1.61/0.55 thf(f2601,plain,(
% 1.61/0.55 ((c @ (sK7 @ sK6) @ sK6) = $true) | ((c @ (sK8 @ sK6) @ sK4) = $true) | ~spl0_32),
% 1.61/0.55 inference(trivial_inequality_removal,[],[f2600])).
% 1.61/0.55 thf(f2600,plain,(
% 1.61/0.55 ((c @ (sK8 @ sK6) @ sK4) = $true) | ((c @ (sK7 @ sK6) @ sK6) = $true) | ($false = $true) | ~spl0_32),
% 1.61/0.55 inference(superposition,[],[f266,f623])).
% 1.61/0.55 thf(f623,plain,(
% 1.61/0.55 ( ! [X1 : reg] : (((c @ (sK8 @ X1) @ X1) = $true) | ((c @ (sK7 @ X1) @ X1) = $true)) ) | ~spl0_32),
% 1.61/0.55 inference(avatar_component_clause,[],[f622])).
% 1.61/0.55 thf(f266,plain,(
% 1.61/0.55 ( ! [X1 : reg] : (($false = (c @ X1 @ sK6)) | ((c @ X1 @ sK4) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f265])).
% 1.61/0.55 thf(f265,plain,(
% 1.61/0.55 ( ! [X1 : reg] : ((((c @ X1 @ sK6) => (c @ X1 @ sK4)) = $true)) )),
% 1.61/0.55 inference(beta_eta_normalization,[],[f264])).
% 1.61/0.55 thf(f264,plain,(
% 1.61/0.55 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ sK4))) @ X1) = $true)) )),
% 1.61/0.55 inference(pi_clausification,[],[f263])).
% 1.61/0.55 thf(f263,plain,(
% 1.61/0.55 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ sK4)))) = $true)),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f261])).
% 1.61/0.55 thf(f2555,plain,(
% 1.61/0.55 spl0_74 | spl0_73 | ~spl0_30),
% 1.61/0.55 inference(avatar_split_clause,[],[f2500,f614,f2513,f2517])).
% 1.61/0.55 thf(f614,plain,(
% 1.61/0.55 spl0_30 <=> ! [X1 : reg] : (((c @ (sK7 @ X1) @ spain) = $false) | ((c @ (sK8 @ X1) @ X1) = $true))),
% 1.61/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_30])])).
% 1.61/0.55 thf(f2500,plain,(
% 1.61/0.55 ((c @ (sK8 @ sK6) @ sK4) = $true) | ($false = (c @ (sK7 @ sK6) @ spain)) | ~spl0_30),
% 1.61/0.55 inference(trivial_inequality_removal,[],[f2491])).
% 1.61/0.55 thf(f2491,plain,(
% 1.61/0.55 ($false = $true) | ((c @ (sK8 @ sK6) @ sK4) = $true) | ($false = (c @ (sK7 @ sK6) @ spain)) | ~spl0_30),
% 1.61/0.55 inference(superposition,[],[f615,f266])).
% 1.61/0.55 thf(f615,plain,(
% 1.61/0.55 ( ! [X1 : reg] : (((c @ (sK8 @ X1) @ X1) = $true) | ((c @ (sK7 @ X1) @ spain) = $false)) ) | ~spl0_30),
% 1.61/0.55 inference(avatar_component_clause,[],[f614])).
% 1.61/0.55 thf(f648,plain,(
% 1.61/0.55 ~spl0_7),
% 1.61/0.55 inference(avatar_contradiction_clause,[],[f647])).
% 1.61/0.55 thf(f647,plain,(
% 1.61/0.55 $false | ~spl0_7),
% 1.61/0.55 inference(trivial_inequality_removal,[],[f646])).
% 1.61/0.55 thf(f646,plain,(
% 1.61/0.55 ($false = $true) | ~spl0_7),
% 1.61/0.55 inference(backward_demodulation,[],[f243,f519])).
% 1.61/0.55 thf(f519,plain,(
% 1.61/0.55 ( ! [X2 : $i,X1 : $i] : (($false = (a @ X1 @ X2))) ) | ~spl0_7),
% 1.61/0.55 inference(avatar_component_clause,[],[f518])).
% 1.61/0.55 thf(f518,plain,(
% 1.61/0.55 spl0_7 <=> ! [X2,X1] : ($false = (a @ X1 @ X2))),
% 1.61/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 1.61/0.55 thf(f243,plain,(
% 1.61/0.55 ($true = (a @ sK2 @ sK3))),
% 1.61/0.55 inference(not_proxy_clausification,[],[f242])).
% 1.61/0.55 thf(f242,plain,(
% 1.61/0.55 ((~ (a @ sK2 @ sK3)) = $false)),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f240])).
% 1.61/0.55 thf(f645,plain,(
% 1.61/0.55 spl0_32 | spl0_35),
% 1.61/0.55 inference(avatar_split_clause,[],[f292,f637,f622])).
% 1.61/0.55 thf(f292,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ (sK8 @ X1) @ X1) = $true) | ((c @ (sK9 @ X2) @ X2) = $true) | ((c @ (sK10 @ X2) @ X2) = $true) | ((c @ (sK7 @ X1) @ X1) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f290])).
% 1.61/0.55 thf(f290,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ (sK8 @ X1) @ X1) = $true) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false) | ((c @ (sK10 @ X2) @ X2) = $true) | ((c @ (sK9 @ X2) @ X2) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f288])).
% 1.61/0.55 thf(f288,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ (sK8 @ X1) @ X1) = $true) | ((c @ (sK10 @ X2) @ X2) = $true) | (((c @ (sK9 @ X2) @ X2) => (c @ (sK9 @ X2) @ france)) = $false) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f286])).
% 1.61/0.55 thf(f286,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = ((c @ (sK8 @ X1) @ X1) => (c @ (sK8 @ X1) @ sK4))) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false) | (((c @ (sK9 @ X2) @ X2) => (c @ (sK9 @ X2) @ france)) = $false) | ((c @ (sK10 @ X2) @ X2) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f284])).
% 1.61/0.55 thf(f284,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = ((c @ (sK10 @ X2) @ X2) => (c @ (sK10 @ X2) @ sK4))) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false) | (((c @ (sK9 @ X2) @ X2) => (c @ (sK9 @ X2) @ france)) = $false) | ($false = ((c @ (sK8 @ X1) @ X1) => (c @ (sK8 @ X1) @ sK4)))) )),
% 1.61/0.55 inference(beta_eta_normalization,[],[f283])).
% 1.61/0.55 thf(f283,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = ((c @ (sK8 @ X1) @ X1) => (c @ (sK8 @ X1) @ sK4))) | (((c @ (sK9 @ X2) @ X2) => (c @ (sK9 @ X2) @ france)) = $false) | (((^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ sK4))) @ (sK10 @ X2)) = $false) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false)) )),
% 1.61/0.55 inference(sigma_clausification,[],[f282])).
% 1.61/0.55 thf(f282,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ sK4))))) | ($false = ((c @ (sK8 @ X1) @ X1) => (c @ (sK8 @ X1) @ sK4))) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false) | (((c @ (sK9 @ X2) @ X2) => (c @ (sK9 @ X2) @ france)) = $false)) )),
% 1.61/0.55 inference(beta_eta_normalization,[],[f281])).
% 1.61/0.55 thf(f281,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = ((c @ (sK8 @ X1) @ X1) => (c @ (sK8 @ X1) @ sK4))) | ($false = ((^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ france))) @ (sK9 @ X2))) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ sK4)))))) )),
% 1.61/0.55 inference(sigma_clausification,[],[f280])).
% 1.61/0.55 thf(f280,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ france))))) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ sK4))))) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false) | ($false = ((c @ (sK8 @ X1) @ X1) => (c @ (sK8 @ X1) @ sK4)))) )),
% 1.61/0.55 inference(beta_eta_normalization,[],[f279])).
% 1.61/0.55 thf(f279,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ france))))) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ sK4))))) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false) | ($false = ((^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK4))) @ (sK8 @ X1)))) )),
% 1.61/0.55 inference(sigma_clausification,[],[f278])).
% 1.61/0.55 thf(f278,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK4)))) = $false) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ sK4))))) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ france)))))) )),
% 1.61/0.55 inference(beta_eta_normalization,[],[f277])).
% 1.61/0.55 thf(f277,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ sK4))))) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK4)))) = $false) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ france))))) | (((^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain))) @ (sK7 @ X1)) = $false)) )),
% 1.61/0.55 inference(sigma_clausification,[],[f276])).
% 1.61/0.55 thf(f276,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain))))) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ sK4))))) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK4)))) = $false) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ france)))))) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f275])).
% 1.61/0.55 thf(f275,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK4)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain))))) = $false) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ sK4))))) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ france)))))) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f274])).
% 1.61/0.55 thf(f274,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ sK4)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ france)))))) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK4)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain))))) = $false)) )),
% 1.61/0.55 inference(beta_eta_normalization,[],[f273])).
% 1.61/0.55 thf(f273,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) @ X2) = $false) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK4)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain))))) = $false)) )),
% 1.61/0.55 inference(pi_clausification,[],[f272])).
% 1.61/0.55 thf(f272,plain,(
% 1.61/0.55 ( ! [X1 : reg] : (($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK4)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain))))) = $false)) )),
% 1.61/0.55 inference(beta_eta_normalization,[],[f271])).
% 1.61/0.55 thf(f271,plain,(
% 1.61/0.55 ( ! [X1 : reg] : (($false = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))) @ X1)) | ($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))) )),
% 1.61/0.55 inference(pi_clausification,[],[f270])).
% 1.61/0.55 thf(f270,plain,(
% 1.61/0.55 ($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) | ($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f246])).
% 1.61/0.55 thf(f246,plain,(
% 1.61/0.55 ($false = ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK4)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))))),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f245])).
% 1.61/0.55 thf(f644,plain,(
% 1.61/0.55 spl0_35 | spl0_30),
% 1.61/0.55 inference(avatar_split_clause,[],[f291,f614,f637])).
% 1.61/0.55 thf(f291,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ (sK8 @ X1) @ X1) = $true) | ((c @ (sK10 @ X2) @ X2) = $true) | ((c @ (sK7 @ X1) @ spain) = $false) | ((c @ (sK9 @ X2) @ X2) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f290])).
% 1.61/0.55 thf(f643,plain,(
% 1.61/0.55 spl0_34 | spl0_32),
% 1.61/0.55 inference(avatar_split_clause,[],[f294,f622,f633])).
% 1.61/0.55 thf(f294,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ (sK10 @ X2) @ X2) = $true) | ($false = (c @ (sK9 @ X2) @ france)) | ((c @ (sK7 @ X1) @ X1) = $true) | ((c @ (sK8 @ X1) @ X1) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f289])).
% 1.61/0.55 thf(f289,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ (sK10 @ X2) @ X2) = $true) | ($false = (c @ (sK9 @ X2) @ france)) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false) | ((c @ (sK8 @ X1) @ X1) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f288])).
% 1.61/0.55 thf(f642,plain,(
% 1.61/0.55 spl0_34 | spl0_30),
% 1.61/0.55 inference(avatar_split_clause,[],[f293,f614,f633])).
% 1.61/0.55 thf(f293,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ (sK8 @ X1) @ X1) = $true) | ($false = (c @ (sK9 @ X2) @ france)) | ((c @ (sK7 @ X1) @ spain) = $false) | ((c @ (sK10 @ X2) @ X2) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f289])).
% 1.61/0.55 thf(f641,plain,(
% 1.61/0.55 spl0_31 | spl0_35),
% 1.61/0.55 inference(avatar_split_clause,[],[f298,f637,f618])).
% 1.61/0.55 thf(f298,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ (sK10 @ X2) @ X2) = $true) | ($false = (c @ (sK8 @ X1) @ sK4)) | ((c @ (sK9 @ X2) @ X2) = $true) | ((c @ (sK7 @ X1) @ X1) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f296])).
% 1.61/0.55 thf(f296,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ (sK10 @ X2) @ X2) = $true) | (((c @ (sK9 @ X2) @ X2) => (c @ (sK9 @ X2) @ france)) = $false) | ((c @ (sK7 @ X1) @ X1) = $true) | ($false = (c @ (sK8 @ X1) @ sK4))) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f287])).
% 1.61/0.55 thf(f287,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ (sK10 @ X2) @ X2) = $true) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false) | (((c @ (sK9 @ X2) @ X2) => (c @ (sK9 @ X2) @ france)) = $false) | ($false = (c @ (sK8 @ X1) @ sK4))) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f286])).
% 1.61/0.55 thf(f640,plain,(
% 1.61/0.55 spl0_34 | spl0_31),
% 1.61/0.55 inference(avatar_split_clause,[],[f297,f618,f633])).
% 1.61/0.55 thf(f297,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ (sK7 @ X1) @ X1) = $true) | ((c @ (sK10 @ X2) @ X2) = $true) | ($false = (c @ (sK8 @ X1) @ sK4)) | ($false = (c @ (sK9 @ X2) @ france))) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f296])).
% 1.61/0.55 thf(f639,plain,(
% 1.61/0.55 spl0_28 | spl0_35),
% 1.61/0.55 inference(avatar_split_clause,[],[f300,f637,f607])).
% 1.61/0.55 thf(f300,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ (sK10 @ X2) @ X2) = $true) | ((c @ (sK9 @ X2) @ X2) = $true) | ((c @ (sK7 @ X1) @ spain) = $false) | ($false = (c @ (sK8 @ X1) @ sK4))) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f295])).
% 1.61/0.55 thf(f295,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : ((((c @ (sK9 @ X2) @ X2) => (c @ (sK9 @ X2) @ france)) = $false) | ($false = (c @ (sK8 @ X1) @ sK4)) | ((c @ (sK7 @ X1) @ spain) = $false) | ((c @ (sK10 @ X2) @ X2) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f287])).
% 1.61/0.55 thf(f635,plain,(
% 1.61/0.55 spl0_28 | spl0_34),
% 1.61/0.55 inference(avatar_split_clause,[],[f299,f633,f607])).
% 1.61/0.55 thf(f299,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (c @ (sK9 @ X2) @ france)) | ($false = (c @ (sK8 @ X1) @ sK4)) | ((c @ (sK10 @ X2) @ X2) = $true) | ((c @ (sK7 @ X1) @ spain) = $false)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f295])).
% 1.61/0.55 thf(f631,plain,(
% 1.61/0.55 spl0_33 | spl0_32),
% 1.61/0.55 inference(avatar_split_clause,[],[f306,f622,f626])).
% 1.61/0.55 thf(f306,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (c @ (sK10 @ X2) @ sK4)) | ((c @ (sK9 @ X2) @ X2) = $true) | ((c @ (sK8 @ X1) @ X1) = $true) | ((c @ (sK7 @ X1) @ X1) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f304])).
% 1.61/0.55 thf(f304,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (c @ (sK10 @ X2) @ sK4)) | ((c @ (sK8 @ X1) @ X1) = $true) | ((c @ (sK9 @ X2) @ X2) = $true) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f302])).
% 1.61/0.55 thf(f302,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = ((c @ (sK8 @ X1) @ X1) => (c @ (sK8 @ X1) @ sK4))) | ((c @ (sK9 @ X2) @ X2) = $true) | ($false = (c @ (sK10 @ X2) @ sK4)) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f285])).
% 1.61/0.55 thf(f285,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : ((((c @ (sK9 @ X2) @ X2) => (c @ (sK9 @ X2) @ france)) = $false) | ($false = ((c @ (sK8 @ X1) @ X1) => (c @ (sK8 @ X1) @ sK4))) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false) | ($false = (c @ (sK10 @ X2) @ sK4))) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f284])).
% 1.61/0.55 thf(f630,plain,(
% 1.61/0.55 spl0_30 | spl0_33),
% 1.61/0.55 inference(avatar_split_clause,[],[f305,f626,f614])).
% 1.61/0.55 thf(f305,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (c @ (sK10 @ X2) @ sK4)) | ((c @ (sK9 @ X2) @ X2) = $true) | ((c @ (sK8 @ X1) @ X1) = $true) | ((c @ (sK7 @ X1) @ spain) = $false)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f304])).
% 1.61/0.55 thf(f629,plain,(
% 1.61/0.55 spl0_33 | spl0_31),
% 1.61/0.55 inference(avatar_split_clause,[],[f308,f618,f626])).
% 1.61/0.55 thf(f308,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (c @ (sK10 @ X2) @ sK4)) | ((c @ (sK9 @ X2) @ X2) = $true) | ($false = (c @ (sK8 @ X1) @ sK4)) | ((c @ (sK7 @ X1) @ X1) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f303])).
% 1.61/0.55 thf(f303,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (c @ (sK10 @ X2) @ sK4)) | ($false = (c @ (sK8 @ X1) @ sK4)) | ((c @ (sK9 @ X2) @ X2) = $true) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f302])).
% 1.61/0.55 thf(f628,plain,(
% 1.61/0.55 spl0_33 | spl0_28),
% 1.61/0.55 inference(avatar_split_clause,[],[f307,f607,f626])).
% 1.61/0.55 thf(f307,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ (sK7 @ X1) @ spain) = $false) | ($false = (c @ (sK10 @ X2) @ sK4)) | ((c @ (sK9 @ X2) @ X2) = $true) | ($false = (c @ (sK8 @ X1) @ sK4))) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f303])).
% 1.61/0.55 thf(f624,plain,(
% 1.61/0.55 spl0_29 | spl0_32),
% 1.61/0.55 inference(avatar_split_clause,[],[f312,f622,f610])).
% 1.61/0.55 thf(f312,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ (sK8 @ X1) @ X1) = $true) | ($false = (c @ (sK10 @ X2) @ sK4)) | ($false = (c @ (sK9 @ X2) @ france)) | ((c @ (sK7 @ X1) @ X1) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f310])).
% 1.61/0.55 thf(f310,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ (sK7 @ X1) @ X1) = $true) | ($false = ((c @ (sK8 @ X1) @ X1) => (c @ (sK8 @ X1) @ sK4))) | ($false = (c @ (sK10 @ X2) @ sK4)) | ($false = (c @ (sK9 @ X2) @ france))) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f301])).
% 1.61/0.55 thf(f301,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (c @ (sK10 @ X2) @ sK4)) | ($false = (c @ (sK9 @ X2) @ france)) | (((c @ (sK7 @ X1) @ X1) => (c @ (sK7 @ X1) @ spain)) = $false) | ($false = ((c @ (sK8 @ X1) @ X1) => (c @ (sK8 @ X1) @ sK4)))) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f285])).
% 1.61/0.55 thf(f620,plain,(
% 1.61/0.55 spl0_31 | spl0_29),
% 1.61/0.55 inference(avatar_split_clause,[],[f311,f610,f618])).
% 1.61/0.55 thf(f311,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (c @ (sK8 @ X1) @ sK4)) | ($false = (c @ (sK10 @ X2) @ sK4)) | ((c @ (sK7 @ X1) @ X1) = $true) | ($false = (c @ (sK9 @ X2) @ france))) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f310])).
% 1.61/0.55 thf(f616,plain,(
% 1.61/0.55 spl0_30 | spl0_29),
% 1.61/0.55 inference(avatar_split_clause,[],[f314,f610,f614])).
% 1.61/0.55 thf(f314,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ (sK7 @ X1) @ spain) = $false) | ($false = (c @ (sK9 @ X2) @ france)) | ($false = (c @ (sK10 @ X2) @ sK4)) | ((c @ (sK8 @ X1) @ X1) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f309])).
% 1.61/0.55 thf(f309,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (c @ (sK10 @ X2) @ sK4)) | ($false = (c @ (sK9 @ X2) @ france)) | ($false = ((c @ (sK8 @ X1) @ X1) => (c @ (sK8 @ X1) @ sK4))) | ((c @ (sK7 @ X1) @ spain) = $false)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f301])).
% 1.61/0.55 thf(f612,plain,(
% 1.61/0.55 spl0_28 | spl0_29),
% 1.61/0.55 inference(avatar_split_clause,[],[f313,f610,f607])).
% 1.61/0.55 thf(f313,plain,(
% 1.61/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (c @ (sK9 @ X2) @ france)) | ($false = (c @ (sK8 @ X1) @ sK4)) | ($false = (c @ (sK10 @ X2) @ sK4)) | ((c @ (sK7 @ X1) @ spain) = $false)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f309])).
% 1.61/0.55 thf(f563,plain,(
% 1.61/0.55 spl0_7 | spl0_17),
% 1.61/0.55 inference(avatar_split_clause,[],[f379,f561,f518])).
% 1.61/0.55 thf(f379,plain,(
% 1.61/0.55 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (a @ X1 @ X2)) | ((c @ X3 @ spain) = $true) | ($false = (c @ X3 @ catalunya))) )),
% 1.61/0.55 inference(not_proxy_clausification,[],[f378])).
% 1.61/0.55 thf(f378,plain,(
% 1.61/0.55 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (c @ X3 @ catalunya)) | ($true = (~ (a @ X1 @ X2))) | ((c @ X3 @ spain) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f377])).
% 1.61/0.55 thf(f377,plain,(
% 1.61/0.55 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = ((c @ X3 @ catalunya) => (c @ X3 @ spain))) | ($true = (~ (a @ X1 @ X2)))) )),
% 1.61/0.55 inference(beta_eta_normalization,[],[f376])).
% 1.61/0.55 thf(f376,plain,(
% 1.61/0.55 ( ! [X2 : $i,X3 : reg,X1 : $i] : ((((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X3) = $true) | ($true = (~ (a @ X1 @ X2)))) )),
% 1.61/0.55 inference(pi_clausification,[],[f375])).
% 1.61/0.55 thf(f375,plain,(
% 1.61/0.55 ( ! [X2 : $i,X1 : $i] : (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) = $true) | ($true = (~ (a @ X1 @ X2)))) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f333])).
% 1.61/0.55 thf(f333,plain,(
% 1.61/0.55 ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) | ($true = (~ (a @ X1 @ X2)))) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f332])).
% 1.61/0.55 thf(f332,plain,(
% 1.61/0.55 ( ! [X2 : $i,X1 : $i] : ((((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) = $true) | ($true = (~ (a @ X1 @ X2)))) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f331])).
% 1.61/0.55 thf(f331,plain,(
% 1.61/0.55 ( ! [X2 : $i,X1 : $i] : ((((~ (a @ X1 @ X2)) | ((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) = $true)) )),
% 1.61/0.55 inference(beta_eta_normalization,[],[f330])).
% 1.61/0.55 thf(f330,plain,(
% 1.61/0.55 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))))) & ((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))))))) @ X2) = $true)) )),
% 1.61/0.55 inference(pi_clausification,[],[f329])).
% 1.61/0.55 thf(f329,plain,(
% 1.61/0.55 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))))) & ((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya)))))))))) = $true)) )),
% 1.61/0.55 inference(beta_eta_normalization,[],[f328])).
% 1.61/0.55 thf(f328,plain,(
% 1.61/0.55 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))))) & ((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))))))))) @ X1) = $true)) )),
% 1.61/0.55 inference(pi_clausification,[],[f327])).
% 1.61/0.55 thf(f327,plain,(
% 1.61/0.55 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))))) & ((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya)))))))))))) = $true)),
% 1.61/0.55 inference(beta_eta_normalization,[],[f217])).
% 1.61/0.55 thf(f217,plain,(
% 1.61/0.55 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)))))) @ Y3 @ Y2)))) & ((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2))))) @ catalunya @ spain)))) = $true)),
% 1.61/0.55 inference(definition_unfolding,[],[f176,f175,f166,f211])).
% 1.61/0.55 thf(f211,plain,(
% 1.61/0.55 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y1)))) & ((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1))))))),
% 1.61/0.55 inference(definition_unfolding,[],[f157,f209,f209,f210])).
% 1.61/0.55 thf(f210,plain,(
% 1.61/0.55 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)))))))),
% 1.61/0.55 inference(definition_unfolding,[],[f192,f165,f165])).
% 1.61/0.55 thf(f192,plain,(
% 1.61/0.55 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 1.61/0.55 inference(cnf_transformation,[],[f115])).
% 1.61/0.55 thf(f115,plain,(
% 1.61/0.55 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 1.61/0.55 inference(fool_elimination,[],[f114])).
% 1.61/0.55 thf(f114,plain,(
% 1.61/0.55 ((^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))) = pp)),
% 1.61/0.55 inference(rectify,[],[f40])).
% 1.61/0.55 thf(f40,axiom,(
% 1.61/0.55 ((^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))) = pp)),
% 1.61/0.55 file('/export/starexec/sandbox/tmp/tmp.2y4TW3rUPh/Vampire---4.8_27608',pp)).
% 1.61/0.55 thf(f209,plain,(
% 1.61/0.55 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y0 @ Y1)))))))),
% 1.61/0.55 inference(definition_unfolding,[],[f185,f207])).
% 1.61/0.55 thf(f185,plain,(
% 1.61/0.55 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
% 1.61/0.55 inference(cnf_transformation,[],[f125])).
% 1.61/0.55 thf(f125,plain,(
% 1.61/0.55 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
% 1.61/0.55 inference(fool_elimination,[],[f124])).
% 1.61/0.55 thf(f124,plain,(
% 1.61/0.55 (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
% 1.61/0.55 inference(rectify,[],[f39])).
% 1.61/0.55 thf(f39,axiom,(
% 1.61/0.55 (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
% 1.61/0.55 file('/export/starexec/sandbox/tmp/tmp.2y4TW3rUPh/Vampire---4.8_27608',ec)).
% 1.61/0.55 thf(f157,plain,(
% 1.61/0.55 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
% 1.61/0.55 inference(cnf_transformation,[],[f123])).
% 1.61/0.55 thf(f123,plain,(
% 1.61/0.55 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
% 1.61/0.55 inference(fool_elimination,[],[f122])).
% 1.61/0.55 thf(f122,plain,(
% 1.61/0.55 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)))) = tpp)),
% 1.61/0.55 inference(rectify,[],[f41])).
% 1.61/0.55 thf(f41,axiom,(
% 1.61/0.55 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)))) = tpp)),
% 1.61/0.55 file('/export/starexec/sandbox/tmp/tmp.2y4TW3rUPh/Vampire---4.8_27608',tpp)).
% 1.61/0.55 thf(f176,plain,(
% 1.61/0.55 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)),
% 1.61/0.55 inference(cnf_transformation,[],[f103])).
% 1.61/0.55 thf(f103,plain,(
% 1.61/0.55 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)),
% 1.61/0.55 inference(fool_elimination,[],[f102])).
% 1.61/0.55 thf(f102,plain,(
% 1.61/0.55 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 1.61/0.55 inference(rectify,[],[f46])).
% 1.61/0.55 thf(f46,axiom,(
% 1.61/0.55 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 1.61/0.55 file('/export/starexec/sandbox/tmp/tmp.2y4TW3rUPh/Vampire---4.8_27608',ax1)).
% 1.61/0.55 thf(f533,plain,(
% 1.61/0.55 spl0_10 | spl0_7),
% 1.61/0.55 inference(avatar_split_clause,[],[f442,f518,f531])).
% 1.61/0.55 thf(f442,plain,(
% 1.61/0.55 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((c @ X3 @ paris) = $false) | ($false = (a @ X1 @ X2)) | ((c @ X3 @ france) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f441])).
% 1.61/0.55 thf(f441,plain,(
% 1.61/0.55 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (a @ X1 @ X2)) | (((c @ X3 @ paris) => (c @ X3 @ france)) = $true)) )),
% 1.61/0.55 inference(beta_eta_normalization,[],[f440])).
% 1.61/0.55 thf(f440,plain,(
% 1.61/0.55 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (a @ X1 @ X2)) | (((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X3) = $true)) )),
% 1.61/0.55 inference(pi_clausification,[],[f439])).
% 1.61/0.55 thf(f439,plain,(
% 1.61/0.55 ( ! [X2 : $i,X1 : $i] : (($false = (a @ X1 @ X2)) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) = $true)) )),
% 1.61/0.55 inference(not_proxy_clausification,[],[f438])).
% 1.61/0.55 thf(f438,plain,(
% 1.61/0.55 ( ! [X2 : $i,X1 : $i] : (($true = (~ (a @ X1 @ X2))) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) = $true)) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f392])).
% 1.61/0.55 thf(f392,plain,(
% 1.61/0.55 ( ! [X2 : $i,X1 : $i] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) = $true) | ($true = (~ (a @ X1 @ X2)))) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f391])).
% 1.61/0.55 thf(f391,plain,(
% 1.61/0.55 ( ! [X2 : $i,X1 : $i] : ((((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))) = $true) | ($true = (~ (a @ X1 @ X2)))) )),
% 1.61/0.55 inference(binary_proxy_clausification,[],[f390])).
% 1.61/0.55 thf(f390,plain,(
% 1.61/0.55 ( ! [X2 : $i,X1 : $i] : ((((~ (a @ X1 @ X2)) | ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))))) = $true)) )),
% 1.61/0.55 inference(beta_eta_normalization,[],[f389])).
% 1.61/0.55 thf(f389,plain,(
% 1.61/0.55 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))))))) & ((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))))))) @ X2) = $true)) )),
% 1.61/0.55 inference(pi_clausification,[],[f388])).
% 1.61/0.55 thf(f388,plain,(
% 1.61/0.55 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))))))) & ((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))))))) = $true)) )),
% 1.61/0.55 inference(beta_eta_normalization,[],[f387])).
% 1.61/0.55 thf(f387,plain,(
% 1.61/0.55 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris))))))))) & ((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))))))))) @ X1) = $true)) )),
% 1.61/0.55 inference(pi_clausification,[],[f386])).
% 1.61/0.55 thf(f386,plain,(
% 1.61/0.55 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris))))))))) & ((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))))))))) = $true)),
% 1.61/0.55 inference(beta_eta_normalization,[],[f214])).
% 1.61/0.55 thf(f214,plain,(
% 1.61/0.55 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)))))) @ Y3 @ Y2))))) & ((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2))))) @ paris @ france)))) = $true)),
% 1.61/0.55 inference(definition_unfolding,[],[f169,f175,f166,f212])).
% 1.61/0.55 thf(f212,plain,(
% 1.61/0.55 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y1))))) & ((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1))))))),
% 1.61/0.55 inference(definition_unfolding,[],[f178,f209,f209,f210])).
% 1.61/0.55 thf(f178,plain,(
% 1.61/0.55 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))) & (pp @ Y0 @ Y1))))))),
% 1.61/0.55 inference(cnf_transformation,[],[f68])).
% 1.61/0.55 thf(f68,plain,(
% 1.61/0.55 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))) & (pp @ Y0 @ Y1))))))),
% 1.61/0.55 inference(fool_elimination,[],[f67])).
% 1.61/0.55 thf(f67,plain,(
% 1.61/0.55 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)))) = ntpp)),
% 1.61/0.55 inference(rectify,[],[f42])).
% 1.61/0.55 thf(f42,axiom,(
% 1.61/0.55 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)))) = ntpp)),
% 1.61/0.55 file('/export/starexec/sandbox/tmp/tmp.2y4TW3rUPh/Vampire---4.8_27608',ntpp)).
% 1.61/0.55 thf(f169,plain,(
% 1.61/0.55 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
% 1.61/0.55 inference(cnf_transformation,[],[f119])).
% 1.61/0.55 thf(f119,plain,(
% 1.61/0.55 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
% 1.61/0.55 inference(fool_elimination,[],[f118])).
% 1.61/0.55 thf(f118,plain,(
% 1.61/0.55 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 1.61/0.55 inference(rectify,[],[f48])).
% 1.61/0.55 thf(f48,axiom,(
% 1.61/0.55 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 1.61/0.55 file('/export/starexec/sandbox/tmp/tmp.2y4TW3rUPh/Vampire---4.8_27608',ax3)).
% 1.61/0.55 % SZS output end Proof for Vampire---4
% 1.61/0.55 % (27747)------------------------------
% 1.61/0.55 % (27747)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.61/0.55 % (27747)Termination reason: Refutation
% 1.61/0.55
% 1.61/0.55 % (27747)Memory used [KB]: 7164
% 1.61/0.55 % (27747)Time elapsed: 0.140 s
% 1.61/0.55 % (27747)Instructions burned: 234 (million)
% 1.61/0.55 % (27747)------------------------------
% 1.61/0.55 % (27747)------------------------------
% 1.61/0.55 % (27719)Success in time 0.216 s
% 1.61/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------