TSTP Solution File: GEG011^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEG011^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/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 : Mon May 20 19:57:07 EDT 2024
% Result : Theorem 0.22s 0.55s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEG011^1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 21:55:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.40 % (30543)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.40 % (30544)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.40 % (30547)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.40 % (30546)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.40 % (30545)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.22/0.40 % (30548)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.40 % (30549)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.40 % (30547)Instruction limit reached!
% 0.22/0.40 % (30547)------------------------------
% 0.22/0.40 % (30547)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (30547)Termination reason: Unknown
% 0.22/0.40 % (30547)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (30547)Memory used [KB]: 1023
% 0.22/0.40 % (30547)Time elapsed: 0.004 s
% 0.22/0.40 % (30547)Instructions burned: 2 (million)
% 0.22/0.40 % (30547)------------------------------
% 0.22/0.40 % (30547)------------------------------
% 0.22/0.40 % (30550)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41 % (30546)Instruction limit reached!
% 0.22/0.41 % (30546)------------------------------
% 0.22/0.41 % (30546)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (30546)Termination reason: Unknown
% 0.22/0.41 % (30546)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (30546)Memory used [KB]: 1023
% 0.22/0.41 % (30546)Time elapsed: 0.005 s
% 0.22/0.41 % (30546)Instructions burned: 2 (million)
% 0.22/0.41 % (30546)------------------------------
% 0.22/0.41 % (30546)------------------------------
% 0.22/0.41 % (30544)Instruction limit reached!
% 0.22/0.41 % (30544)------------------------------
% 0.22/0.41 % (30544)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (30544)Termination reason: Unknown
% 0.22/0.41 % (30544)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (30544)Memory used [KB]: 1151
% 0.22/0.41 % (30550)Instruction limit reached!
% 0.22/0.41 % (30550)------------------------------
% 0.22/0.41 % (30550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (30550)Termination reason: Unknown
% 0.22/0.41 % (30550)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (30550)Memory used [KB]: 1023
% 0.22/0.41 % (30550)Time elapsed: 0.005 s
% 0.22/0.41 % (30550)Instructions burned: 3 (million)
% 0.22/0.41 % (30550)------------------------------
% 0.22/0.41 % (30550)------------------------------
% 0.22/0.41 % (30544)Time elapsed: 0.007 s
% 0.22/0.41 % (30544)Instructions burned: 4 (million)
% 0.22/0.41 % (30544)------------------------------
% 0.22/0.41 % (30544)------------------------------
% 0.22/0.42 % (30549)Instruction limit reached!
% 0.22/0.42 % (30549)------------------------------
% 0.22/0.42 % (30549)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (30549)Termination reason: Unknown
% 0.22/0.42 % (30549)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (30549)Memory used [KB]: 5628
% 0.22/0.42 % (30549)Time elapsed: 0.015 s
% 0.22/0.42 % (30549)Instructions burned: 18 (million)
% 0.22/0.42 % (30549)------------------------------
% 0.22/0.42 % (30549)------------------------------
% 0.22/0.42 % (30548)Refutation not found, incomplete strategy
% 0.22/0.42 % (30548)------------------------------
% 0.22/0.42 % (30548)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (30548)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 % (30548)Memory used [KB]: 5628
% 0.22/0.42 % (30548)Time elapsed: 0.016 s
% 0.22/0.42 % (30548)Instructions burned: 15 (million)
% 0.22/0.42 % (30548)------------------------------
% 0.22/0.42 % (30548)------------------------------
% 0.22/0.42 % (30545)Instruction limit reached!
% 0.22/0.42 % (30545)------------------------------
% 0.22/0.42 % (30545)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (30545)Termination reason: Unknown
% 0.22/0.42 % (30545)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (30545)Memory used [KB]: 5756
% 0.22/0.42 % (30545)Time elapsed: 0.023 s
% 0.22/0.42 % (30545)Instructions burned: 28 (million)
% 0.22/0.42 % (30545)------------------------------
% 0.22/0.42 % (30545)------------------------------
% 0.22/0.42 % (30551)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.43 % (30552)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.43 % (30553)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (30555)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.43 % (30554)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.43 % (30553)Instruction limit reached!
% 0.22/0.43 % (30553)------------------------------
% 0.22/0.43 % (30553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (30553)Termination reason: Unknown
% 0.22/0.43 % (30553)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (30553)Memory used [KB]: 1023
% 0.22/0.43 % (30553)Time elapsed: 0.005 s
% 0.22/0.43 % (30553)Instructions burned: 4 (million)
% 0.22/0.43 % (30553)------------------------------
% 0.22/0.43 % (30553)------------------------------
% 0.22/0.44 % (30552)Instruction limit reached!
% 0.22/0.44 % (30552)------------------------------
% 0.22/0.44 % (30552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (30552)Termination reason: Unknown
% 0.22/0.44 % (30552)Termination phase: Property scanning
% 0.22/0.44
% 0.22/0.44 % (30552)Memory used [KB]: 1151
% 0.22/0.44 % (30552)Time elapsed: 0.010 s
% 0.22/0.44 % (30552)Instructions burned: 15 (million)
% 0.22/0.44 % (30552)------------------------------
% 0.22/0.44 % (30552)------------------------------
% 0.22/0.44 % (30555)Instruction limit reached!
% 0.22/0.44 % (30555)------------------------------
% 0.22/0.44 % (30555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (30555)Termination reason: Unknown
% 0.22/0.44 % (30555)Termination phase: Property scanning
% 0.22/0.44
% 0.22/0.44 % (30555)Memory used [KB]: 1151
% 0.22/0.44 % (30555)Time elapsed: 0.005 s
% 0.22/0.44 % (30555)Instructions burned: 7 (million)
% 0.22/0.44 % (30555)------------------------------
% 0.22/0.44 % (30555)------------------------------
% 0.22/0.44 % (30557)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (30556)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.44 % (30557)Instruction limit reached!
% 0.22/0.44 % (30557)------------------------------
% 0.22/0.44 % (30557)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (30557)Termination reason: Unknown
% 0.22/0.44 % (30557)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (30557)Memory used [KB]: 1023
% 0.22/0.44 % (30557)Time elapsed: 0.004 s
% 0.22/0.44 % (30557)Instructions burned: 3 (million)
% 0.22/0.44 % (30557)------------------------------
% 0.22/0.44 % (30557)------------------------------
% 0.22/0.44 % (30551)Instruction limit reached!
% 0.22/0.44 % (30551)------------------------------
% 0.22/0.44 % (30551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (30551)Termination reason: Unknown
% 0.22/0.44 % (30551)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (30551)Memory used [KB]: 5756
% 0.22/0.44 % (30551)Time elapsed: 0.021 s
% 0.22/0.44 % (30551)Instructions burned: 37 (million)
% 0.22/0.44 % (30551)------------------------------
% 0.22/0.44 % (30551)------------------------------
% 0.22/0.45 % (30558)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.45 % (30556)Instruction limit reached!
% 0.22/0.45 % (30556)------------------------------
% 0.22/0.45 % (30556)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (30556)Termination reason: Unknown
% 0.22/0.45 % (30556)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (30556)Memory used [KB]: 1151
% 0.22/0.45 % (30556)Time elapsed: 0.011 s
% 0.22/0.45 % (30556)Instructions burned: 16 (million)
% 0.22/0.45 % (30556)------------------------------
% 0.22/0.45 % (30556)------------------------------
% 0.22/0.45 % (30558)Instruction limit reached!
% 0.22/0.45 % (30558)------------------------------
% 0.22/0.45 % (30558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (30558)Termination reason: Unknown
% 0.22/0.45 % (30558)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (30558)Memory used [KB]: 1023
% 0.22/0.45 % (30558)Time elapsed: 0.003 s
% 0.22/0.45 % (30558)Instructions burned: 3 (million)
% 0.22/0.45 % (30558)------------------------------
% 0.22/0.45 % (30558)------------------------------
% 0.22/0.45 % (30559)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.45 % (30560)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.45 % (30560)Instruction limit reached!
% 0.22/0.45 % (30560)------------------------------
% 0.22/0.45 % (30560)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (30560)Termination reason: Unknown
% 0.22/0.45 % (30560)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (30560)Memory used [KB]: 1151
% 0.22/0.45 % (30560)Time elapsed: 0.004 s
% 0.22/0.45 % (30560)Instructions burned: 4 (million)
% 0.22/0.45 % (30560)------------------------------
% 0.22/0.45 % (30560)------------------------------
% 0.22/0.45 % (30559)Instruction limit reached!
% 0.22/0.45 % (30559)------------------------------
% 0.22/0.45 % (30559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (30559)Termination reason: Unknown
% 0.22/0.45 % (30559)Termination phase: Property scanning
% 0.22/0.45
% 0.22/0.45 % (30559)Memory used [KB]: 1151
% 0.22/0.45 % (30559)Time elapsed: 0.006 s
% 0.22/0.45 % (30559)Instructions burned: 8 (million)
% 0.22/0.45 % (30559)------------------------------
% 0.22/0.45 % (30559)------------------------------
% 0.22/0.46 % (30561)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.46 % (30562)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.46 % (30561)Instruction limit reached!
% 0.22/0.46 % (30561)------------------------------
% 0.22/0.46 % (30561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (30561)Termination reason: Unknown
% 0.22/0.46 % (30561)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (30561)Memory used [KB]: 1151
% 0.22/0.46 % (30561)Time elapsed: 0.004 s
% 0.22/0.46 % (30561)Instructions burned: 4 (million)
% 0.22/0.46 % (30561)------------------------------
% 0.22/0.46 % (30561)------------------------------
% 0.22/0.46 % (30563)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.46 % (30564)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.47 % (30565)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.47 % (30564)Instruction limit reached!
% 0.22/0.47 % (30564)------------------------------
% 0.22/0.47 % (30564)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (30564)Termination reason: Unknown
% 0.22/0.47 % (30564)Termination phase: Property scanning
% 0.22/0.47
% 0.22/0.47 % (30564)Memory used [KB]: 1151
% 0.22/0.47 % (30564)Time elapsed: 0.005 s
% 0.22/0.47 % (30564)Instructions burned: 7 (million)
% 0.22/0.47 % (30564)------------------------------
% 0.22/0.47 % (30564)------------------------------
% 0.22/0.47 % (30562)Instruction limit reached!
% 0.22/0.47 % (30562)------------------------------
% 0.22/0.47 % (30562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (30562)Termination reason: Unknown
% 0.22/0.47 % (30562)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (30562)Memory used [KB]: 5756
% 0.22/0.47 % (30562)Time elapsed: 0.013 s
% 0.22/0.47 % (30562)Instructions burned: 19 (million)
% 0.22/0.47 % (30562)------------------------------
% 0.22/0.47 % (30562)------------------------------
% 0.22/0.47 % (30566)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.47 % (30567)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.47 % (30565)Refutation not found, incomplete strategy
% 0.22/0.47 % (30565)------------------------------
% 0.22/0.47 % (30565)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (30565)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47 % (30565)Memory used [KB]: 5628
% 0.22/0.47 % (30565)Time elapsed: 0.009 s
% 0.22/0.47 % (30565)Instructions burned: 12 (million)
% 0.22/0.47 % (30565)------------------------------
% 0.22/0.47 % (30565)------------------------------
% 0.22/0.48 % (30567)Instruction limit reached!
% 0.22/0.48 % (30567)------------------------------
% 0.22/0.48 % (30567)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (30567)Termination reason: Unknown
% 0.22/0.48 % (30567)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (30567)Memory used [KB]: 1151
% 0.22/0.48 % (30567)Time elapsed: 0.004 s
% 0.22/0.48 % (30567)Instructions burned: 5 (million)
% 0.22/0.48 % (30567)------------------------------
% 0.22/0.48 % (30567)------------------------------
% 0.22/0.48 % (30566)Instruction limit reached!
% 0.22/0.48 % (30566)------------------------------
% 0.22/0.48 % (30566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (30566)Termination reason: Unknown
% 0.22/0.48 % (30566)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (30566)Memory used [KB]: 5628
% 0.22/0.48 % (30566)Time elapsed: 0.012 s
% 0.22/0.48 % (30566)Instructions burned: 21 (million)
% 0.22/0.48 % (30566)------------------------------
% 0.22/0.48 % (30566)------------------------------
% 0.22/0.48 % (30568)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.48 % (30569)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.48 % (30568)Instruction limit reached!
% 0.22/0.48 % (30568)------------------------------
% 0.22/0.48 % (30568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (30568)Termination reason: Unknown
% 0.22/0.48 % (30568)Termination phase: Property scanning
% 0.22/0.48
% 0.22/0.48 % (30568)Memory used [KB]: 1151
% 0.22/0.48 % (30568)Time elapsed: 0.005 s
% 0.22/0.48 % (30568)Instructions burned: 6 (million)
% 0.22/0.49 % (30568)------------------------------
% 0.22/0.49 % (30568)------------------------------
% 0.22/0.49 % (30570)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.22/0.49 % (30571)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.22/0.49 % (30572)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.22/0.50 % (30571)Refutation not found, incomplete strategy
% 0.22/0.50 % (30571)------------------------------
% 0.22/0.50 % (30571)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (30571)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.50
% 0.22/0.50
% 0.22/0.50 % (30571)Memory used [KB]: 5756
% 0.22/0.50 % (30571)Time elapsed: 0.011 s
% 0.22/0.50 % (30571)Instructions burned: 18 (million)
% 0.22/0.50 % (30571)------------------------------
% 0.22/0.50 % (30571)------------------------------
% 0.22/0.50 % (30573)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.51 % (30543)Instruction limit reached!
% 0.22/0.51 % (30543)------------------------------
% 0.22/0.51 % (30543)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (30543)Termination reason: Unknown
% 0.22/0.51 % (30543)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (30543)Memory used [KB]: 7036
% 0.22/0.51 % (30543)Time elapsed: 0.107 s
% 0.22/0.51 % (30543)Instructions burned: 183 (million)
% 0.22/0.51 % (30543)------------------------------
% 0.22/0.51 % (30543)------------------------------
% 0.22/0.51 % (30573)Instruction limit reached!
% 0.22/0.51 % (30573)------------------------------
% 0.22/0.51 % (30573)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (30573)Termination reason: Unknown
% 0.22/0.51 % (30573)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (30573)Memory used [KB]: 5628
% 0.22/0.51 % (30573)Time elapsed: 0.011 s
% 0.22/0.51 % (30573)Instructions burned: 18 (million)
% 0.22/0.51 % (30573)------------------------------
% 0.22/0.51 % (30573)------------------------------
% 0.22/0.51 % (30574)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.52 % (30574)Instruction limit reached!
% 0.22/0.52 % (30574)------------------------------
% 0.22/0.52 % (30574)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (30574)Termination reason: Unknown
% 0.22/0.52 % (30574)Termination phase: shuffling
% 0.22/0.52
% 0.22/0.52 % (30574)Memory used [KB]: 1151
% 0.22/0.52 % (30574)Time elapsed: 0.004 s
% 0.22/0.52 % (30574)Instructions burned: 4 (million)
% 0.22/0.52 % (30574)------------------------------
% 0.22/0.52 % (30574)------------------------------
% 0.22/0.52 % (30575)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.52 % (30576)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.22/0.53 % (30577)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.22/0.53 % (30569)First to succeed.
% 0.22/0.54 % (30575)Instruction limit reached!
% 0.22/0.54 % (30575)------------------------------
% 0.22/0.54 % (30575)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54 % (30575)Termination reason: Unknown
% 0.22/0.54 % (30575)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (30575)Memory used [KB]: 5756
% 0.22/0.54 % (30575)Time elapsed: 0.017 s
% 0.22/0.54 % (30575)Instructions burned: 31 (million)
% 0.22/0.54 % (30575)------------------------------
% 0.22/0.54 % (30575)------------------------------
% 0.22/0.55 % (30569)Refutation found. Thanks to Tanya!
% 0.22/0.55 % SZS status Theorem for theBenchmark
% 0.22/0.55 % SZS output start Proof for theBenchmark
% 0.22/0.55 thf(type_def_5, type, mu: $tType).
% 0.22/0.55 thf(type_def_7, type, reg: $tType).
% 0.22/0.55 thf(func_def_0, type, mu: $tType).
% 0.22/0.55 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.22/0.55 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.55 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.55 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.55 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.55 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.55 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.55 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.55 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.55 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.55 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.55 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.55 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.55 thf(func_def_15, type, mtrue: $i > $o).
% 0.22/0.55 thf(func_def_16, type, mfalse: $i > $o).
% 0.22/0.55 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.55 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.55 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.22/0.55 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.22/0.55 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.22/0.55 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.22/0.55 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.22/0.55 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.22/0.55 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.22/0.55 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.22/0.55 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.22/0.55 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.22/0.55 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.22/0.55 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.22/0.55 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.55 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.55 thf(func_def_33, type, reg: $tType).
% 0.22/0.55 thf(func_def_34, type, c: reg > reg > $o).
% 0.22/0.55 thf(func_def_35, type, dc: reg > reg > $o).
% 0.22/0.55 thf(func_def_36, type, p: reg > reg > $o).
% 0.22/0.55 thf(func_def_37, type, eq: reg > reg > $o).
% 0.22/0.55 thf(func_def_38, type, o: reg > reg > $o).
% 0.22/0.55 thf(func_def_39, type, po: reg > reg > $o).
% 0.22/0.55 thf(func_def_40, type, ec: reg > reg > $o).
% 0.22/0.55 thf(func_def_41, type, pp: reg > reg > $o).
% 0.22/0.55 thf(func_def_42, type, tpp: reg > reg > $o).
% 0.22/0.55 thf(func_def_43, type, ntpp: reg > reg > $o).
% 0.22/0.55 thf(func_def_44, type, catalunya: reg).
% 0.22/0.55 thf(func_def_45, type, france: reg).
% 0.22/0.55 thf(func_def_46, type, spain: reg).
% 0.22/0.55 thf(func_def_47, type, paris: reg).
% 0.22/0.55 thf(func_def_48, type, a: $i > $i > $o).
% 0.22/0.55 thf(func_def_49, type, fool: $i > $i > $o).
% 0.22/0.55 thf(func_def_66, type, sK1: reg > reg).
% 0.22/0.55 thf(func_def_67, type, sK2: reg > reg).
% 0.22/0.55 thf(func_def_68, type, sK3: reg > reg).
% 0.22/0.55 thf(func_def_69, type, sK4: reg).
% 0.22/0.55 thf(func_def_72, type, sK7: reg).
% 0.22/0.55 thf(func_def_73, type, sK8: reg > reg).
% 0.22/0.55 thf(func_def_74, type, sK9: reg > reg).
% 0.22/0.55 thf(func_def_75, type, sK10: reg > reg).
% 0.22/0.55 thf(func_def_76, type, sK11: reg).
% 0.22/0.55 thf(func_def_77, type, sK12: reg > reg).
% 0.22/0.55 thf(func_def_78, type, sK13: reg > reg).
% 0.22/0.55 thf(func_def_79, type, sK14: reg > reg).
% 0.22/0.55 thf(func_def_80, type, sK15: reg).
% 0.22/0.55 thf(func_def_81, type, sK16: reg).
% 0.22/0.55 thf(func_def_82, type, sK17: reg).
% 0.22/0.55 thf(func_def_83, type, sK18: $i > ($i > $o) > $i).
% 0.22/0.55 thf(func_def_84, type, sK19: reg).
% 0.22/0.55 thf(func_def_85, type, sK20: reg > reg).
% 0.22/0.55 thf(func_def_86, type, sK21: reg > reg).
% 0.22/0.55 thf(func_def_87, type, sK22: reg > reg).
% 0.22/0.55 thf(func_def_88, type, sK23: reg > reg).
% 0.22/0.55 thf(func_def_89, type, sK24: reg > reg).
% 0.22/0.55 thf(func_def_90, type, sK25: reg).
% 0.22/0.55 thf(func_def_91, type, sK26: $i > ($i > $o) > $i).
% 0.22/0.55 thf(func_def_92, type, sK27: $i > ($i > $o) > $i).
% 0.22/0.55 thf(func_def_93, type, sK28: reg > reg).
% 0.22/0.55 thf(func_def_94, type, sK29: reg > reg).
% 0.22/0.55 thf(func_def_95, type, sK30: reg > reg).
% 0.22/0.55 thf(f1088,plain,(
% 0.22/0.55 $false),
% 0.22/0.55 inference(avatar_sat_refutation,[],[f607,f664,f669,f674,f675,f689,f708,f879,f904,f938,f1087])).
% 0.22/0.55 thf(f1087,plain,(
% 0.22/0.55 ~spl0_10 | ~spl0_22 | ~spl0_25),
% 0.22/0.55 inference(avatar_contradiction_clause,[],[f1086])).
% 0.22/0.55 thf(f1086,plain,(
% 0.22/0.55 $false | (~spl0_10 | ~spl0_22 | ~spl0_25)),
% 0.22/0.55 inference(trivial_inequality_removal,[],[f1085])).
% 0.22/0.55 thf(f1085,plain,(
% 0.22/0.55 ($true = $false) | (~spl0_10 | ~spl0_22 | ~spl0_25)),
% 0.22/0.55 inference(backward_demodulation,[],[f668,f1082])).
% 0.22/0.55 thf(f1082,plain,(
% 0.22/0.55 ((c @ sK16 @ catalunya) = $false) | (~spl0_10 | ~spl0_22)),
% 0.22/0.55 inference(trivial_inequality_removal,[],[f1078])).
% 0.22/0.55 thf(f1078,plain,(
% 0.22/0.55 ($true = $false) | ((c @ sK16 @ catalunya) = $false) | (~spl0_10 | ~spl0_22)),
% 0.22/0.55 inference(superposition,[],[f606,f1072])).
% 0.22/0.55 thf(f1072,plain,(
% 0.22/0.55 ($false = (c @ sK16 @ spain)) | ~spl0_22),
% 0.22/0.55 inference(trivial_inequality_removal,[],[f1067])).
% 0.22/0.55 thf(f1067,plain,(
% 0.22/0.55 ($false = (c @ sK16 @ spain)) | ($true = $false) | ~spl0_22),
% 0.22/0.55 inference(superposition,[],[f391,f656])).
% 0.22/0.55 thf(f656,plain,(
% 0.22/0.55 ($false = (c @ sK16 @ sK7)) | ~spl0_22),
% 0.22/0.55 inference(avatar_component_clause,[],[f654])).
% 0.22/0.55 thf(f654,plain,(
% 0.22/0.55 spl0_22 <=> ($false = (c @ sK16 @ sK7))),
% 0.22/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_22])])).
% 0.22/0.55 thf(f391,plain,(
% 0.22/0.55 ( ! [X1 : reg] : (((c @ X1 @ sK7) = $true) | ((c @ X1 @ spain) = $false)) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f390])).
% 0.22/0.55 thf(f390,plain,(
% 0.22/0.55 ( ! [X1 : reg] : (($true = ((c @ X1 @ spain) => (c @ X1 @ sK7)))) )),
% 0.22/0.55 inference(beta_eta_normalization,[],[f389])).
% 0.22/0.55 thf(f389,plain,(
% 0.22/0.55 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK7))) @ X1) = $true)) )),
% 0.22/0.55 inference(pi_clausification,[],[f388])).
% 0.22/0.55 thf(f388,plain,(
% 0.22/0.55 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK7)))) = $true)),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f344])).
% 0.22/0.55 thf(f344,plain,(
% 0.22/0.55 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ spain)))))))),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f292])).
% 0.22/0.55 thf(f292,plain,(
% 0.22/0.55 ($true = ((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK7)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ sK7)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ spain))))))))),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f291])).
% 0.22/0.55 thf(f291,plain,(
% 0.22/0.55 ((((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK7)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ sK7)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ france))))))) & ((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK7)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ sK7)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ spain)))))))) = $true)),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f289])).
% 0.22/0.55 thf(f289,plain,(
% 0.22/0.55 (((((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK7)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ sK7)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ france))))))) & ((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK7)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ sK7)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ spain)))))))) => (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya)))))))) = $false)),
% 0.22/0.55 inference(beta_eta_normalization,[],[f288])).
% 0.22/0.55 thf(f288,plain,(
% 0.22/0.55 (((^[Y0 : reg]: ((((~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ Y0)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france)))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ Y0)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain)))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) => (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))))) @ sK7) = $false)),
% 0.22/0.55 inference(sigma_clausification,[],[f287])).
% 0.22/0.55 thf(f287,plain,(
% 0.22/0.55 ((!! @ reg @ (^[Y0 : reg]: ((((~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ Y0)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france)))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ Y0)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain)))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) => (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))))))) = $false)),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f285])).
% 0.22/0.55 thf(f285,plain,(
% 0.22/0.55 ($false = ((!! @ reg @ (^[Y0 : reg]: ((((~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ Y0)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france)))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) & ((~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ Y0)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain)))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) => (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ Y0)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))))))) | (~ (a @ sK5 @ sK6))))),
% 0.22/0.55 inference(beta_eta_normalization,[],[f284])).
% 0.22/0.55 thf(f284,plain,(
% 0.22/0.55 ($false = ((^[Y0 : $i]: ((!! @ reg @ (^[Y1 : reg]: ((((~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ Y1)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ france)))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ Y1)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))) & ((~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ Y1)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ spain)))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ Y1)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) => (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ Y1)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ Y1)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))))) | (~ (a @ sK5 @ Y0)))) @ sK6))),
% 0.22/0.55 inference(sigma_clausification,[],[f283])).
% 0.22/0.55 thf(f283,plain,(
% 0.22/0.55 ((!! @ $i @ (^[Y0 : $i]: ((!! @ reg @ (^[Y1 : reg]: ((((~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ Y1)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ france)))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ Y1)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))) & ((~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ Y1)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ spain)))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ Y1)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) => (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ Y1)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ Y1)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))))) | (~ (a @ sK5 @ Y0))))) = $false)),
% 0.22/0.55 inference(beta_eta_normalization,[],[f282])).
% 0.22/0.55 thf(f282,plain,(
% 0.22/0.55 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ reg @ (^[Y2 : reg]: ((((~ (?? @ reg @ (^[Y3 : reg]: (((~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (c @ Y3 @ Y2)) & ((~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ france)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (c @ Y3 @ france)))))) & ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ france) => (c @ Y3 @ Y2)))) & (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))) & ((~ (?? @ reg @ (^[Y3 : reg]: (((~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (c @ Y3 @ Y2)) & ((~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ spain)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (c @ Y3 @ spain)))))) & ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ spain) => (c @ Y3 @ Y2)))) & (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) => (((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ paris) => (c @ Y3 @ Y2)))) & (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))) & ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ catalunya) => (c @ Y3 @ Y2)))) & (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))))) | (~ (a @ Y0 @ Y1)))))) @ sK5) = $false)),
% 0.22/0.55 inference(sigma_clausification,[],[f281])).
% 0.22/0.55 thf(f281,plain,(
% 0.22/0.55 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ reg @ (^[Y2 : reg]: ((((~ (?? @ reg @ (^[Y3 : reg]: (((~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (c @ Y3 @ Y2)) & ((~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ france)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (c @ Y3 @ france)))))) & ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ france) => (c @ Y3 @ Y2)))) & (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))) & ((~ (?? @ reg @ (^[Y3 : reg]: (((~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (c @ Y3 @ Y2)) & ((~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ spain)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (c @ Y3 @ spain)))))) & ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ spain) => (c @ Y3 @ Y2)))) & (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) => (((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ paris) => (c @ Y3 @ Y2)))) & (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))) & ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ catalunya) => (c @ Y3 @ Y2)))) & (~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))))) | (~ (a @ Y0 @ Y1))))))))),
% 0.22/0.55 inference(beta_eta_normalization,[],[f219])).
% 0.22/0.55 thf(f219,plain,(
% 0.22/0.55 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: ((((^[Y2 : reg]: ((^[Y3 : reg]: ((~ (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: ((~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7))))))) @ Y5 @ Y6)) & (c @ Y5 @ Y6))))) @ Y4 @ Y3) & ((^[Y5 : reg]: ((^[Y6 : reg]: ((~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7))))))) @ Y5 @ Y6)) & (c @ Y5 @ Y6))))) @ Y4 @ Y2))))) & ((^[Y4 : reg]: ((^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4)))))) @ Y2 @ Y3))))) @ france @ Y1) & ((^[Y2 : reg]: ((^[Y3 : reg]: ((~ (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: ((~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7))))))) @ Y5 @ Y6)) & (c @ Y5 @ Y6))))) @ Y4 @ Y3) & ((^[Y5 : reg]: ((^[Y6 : reg]: ((~ ((^[Y7 : reg]: ((^[Y8 : reg]: (?? @ reg @ (^[Y9 : reg]: (((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y8) & ((^[Y10 : reg]: ((^[Y11 : reg]: (!! @ reg @ (^[Y12 : reg]: ((c @ Y12 @ Y10) => (c @ Y12 @ Y11))))))) @ Y9 @ Y7))))))) @ Y5 @ Y6)) & (c @ Y5 @ Y6))))) @ Y4 @ Y2))))) & ((^[Y4 : reg]: ((^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4)))))) @ Y2 @ Y3))))) @ spain @ 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)))))) @ paris @ 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)))))) @ catalunya @ Y1)))))))))),
% 0.22/0.55 inference(definition_unfolding,[],[f194,f182,f150,f212,f212,f210,f210])).
% 0.22/0.55 thf(f210,plain,(
% 0.22/0.55 (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)))))))),
% 0.22/0.55 inference(definition_unfolding,[],[f148,f149,f149])).
% 0.22/0.55 thf(f149,plain,(
% 0.22/0.55 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.22/0.55 inference(cnf_transformation,[],[f57])).
% 0.22/0.55 thf(f57,plain,(
% 0.22/0.55 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.22/0.55 inference(fool_elimination,[],[f56])).
% 0.22/0.55 thf(f56,plain,(
% 0.22/0.55 ((^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))) = p)),
% 0.22/0.55 inference(rectify,[],[f35])).
% 0.22/0.55 thf(f35,axiom,(
% 0.22/0.55 ((^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))) = p)),
% 0.22/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',p)).
% 0.22/0.55 thf(f148,plain,(
% 0.22/0.55 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 0.22/0.55 inference(cnf_transformation,[],[f79])).
% 0.22/0.55 thf(f79,plain,(
% 0.22/0.55 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 0.22/0.55 inference(fool_elimination,[],[f78])).
% 0.22/0.55 thf(f78,plain,(
% 0.22/0.55 (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))),
% 0.22/0.55 inference(rectify,[],[f40])).
% 0.22/0.55 thf(f40,axiom,(
% 0.22/0.55 (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))),
% 0.22/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pp)).
% 0.22/0.55 thf(f212,plain,(
% 0.22/0.55 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0))))) & ((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1))))))),
% 0.22/0.55 inference(definition_unfolding,[],[f169,f209,f209,f210])).
% 0.22/0.55 thf(f209,plain,(
% 0.22/0.55 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2))))))) @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 0.22/0.55 inference(definition_unfolding,[],[f164,f207])).
% 0.22/0.55 thf(f207,plain,(
% 0.22/0.55 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0))))))))),
% 0.22/0.55 inference(definition_unfolding,[],[f152,f149,f149])).
% 0.22/0.55 thf(f152,plain,(
% 0.22/0.55 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))),
% 0.22/0.55 inference(cnf_transformation,[],[f125])).
% 0.22/0.55 thf(f125,plain,(
% 0.22/0.55 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))),
% 0.22/0.55 inference(fool_elimination,[],[f124])).
% 0.22/0.55 thf(f124,plain,(
% 0.22/0.55 ((^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X0) & (p @ X2 @ X1)))) = o)),
% 0.22/0.55 inference(rectify,[],[f37])).
% 0.22/0.55 thf(f37,axiom,(
% 0.22/0.55 ((^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X0) & (p @ X11 @ X1)))) = o)),
% 0.22/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',o)).
% 0.22/0.55 thf(f164,plain,(
% 0.22/0.55 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 0.22/0.55 inference(cnf_transformation,[],[f131])).
% 0.22/0.55 thf(f131,plain,(
% 0.22/0.55 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 0.22/0.55 inference(fool_elimination,[],[f130])).
% 0.22/0.55 thf(f130,plain,(
% 0.22/0.55 (ec = (^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))))),
% 0.22/0.55 inference(rectify,[],[f39])).
% 0.22/0.55 thf(f39,axiom,(
% 0.22/0.55 (ec = (^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))))),
% 0.22/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec)).
% 0.22/0.55 thf(f169,plain,(
% 0.22/0.55 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0))))) & (pp @ Y0 @ Y1))))))),
% 0.22/0.55 inference(cnf_transformation,[],[f103])).
% 0.22/0.55 thf(f103,plain,(
% 0.22/0.55 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0))))) & (pp @ Y0 @ Y1))))))),
% 0.22/0.55 inference(fool_elimination,[],[f102])).
% 0.22/0.55 thf(f102,plain,(
% 0.22/0.55 (ntpp = (^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X2 : reg] : ((ec @ X2 @ X0) & (ec @ X2 @ X1)))))),
% 0.22/0.55 inference(rectify,[],[f42])).
% 0.22/0.55 thf(f42,axiom,(
% 0.22/0.55 (ntpp = (^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X11 : reg] : ((ec @ X11 @ X0) & (ec @ X11 @ X1)))))),
% 0.22/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ntpp)).
% 0.22/0.55 thf(f150,plain,(
% 0.22/0.55 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.22/0.55 inference(cnf_transformation,[],[f99])).
% 0.22/0.55 thf(f99,plain,(
% 0.22/0.55 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.22/0.55 inference(fool_elimination,[],[f98])).
% 0.22/0.55 thf(f98,plain,(
% 0.22/0.55 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))) = mbox)),
% 0.22/0.55 inference(rectify,[],[f16])).
% 0.22/0.55 thf(f16,axiom,(
% 0.22/0.55 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))) = mbox)),
% 0.22/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.22/0.55 thf(f182,plain,(
% 0.22/0.55 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.55 inference(cnf_transformation,[],[f69])).
% 0.22/0.55 thf(f69,plain,(
% 0.22/0.55 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.55 inference(fool_elimination,[],[f68])).
% 0.22/0.55 thf(f68,plain,(
% 0.22/0.55 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.22/0.55 inference(rectify,[],[f28])).
% 0.22/0.55 thf(f28,axiom,(
% 0.22/0.55 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.22/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.22/0.55 thf(f194,plain,(
% 0.22/0.55 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((ntpp @ france @ Y1) & (ntpp @ spain @ Y1)) => ((pp @ paris @ Y1) & (pp @ catalunya @ Y1)))))))) != $true)),
% 0.22/0.55 inference(cnf_transformation,[],[f146])).
% 0.22/0.55 thf(f146,plain,(
% 0.22/0.55 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((ntpp @ france @ Y1) & (ntpp @ spain @ Y1)) => ((pp @ paris @ Y1) & (pp @ catalunya @ Y1)))))))) != $true)),
% 0.22/0.55 inference(flattening,[],[f67])).
% 0.22/0.55 thf(f67,plain,(
% 0.22/0.55 ~((mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((ntpp @ france @ Y1) & (ntpp @ spain @ Y1)) => ((pp @ paris @ Y1) & (pp @ catalunya @ Y1)))))))) = $true)),
% 0.22/0.55 inference(fool_elimination,[],[f66])).
% 0.22/0.55 thf(f66,plain,(
% 0.22/0.55 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X1 : reg] : (((ntpp @ spain @ X1) & (ntpp @ france @ X1)) => ((pp @ catalunya @ X1) & (pp @ paris @ X1)))))))),
% 0.22/0.55 inference(rectify,[],[f50])).
% 0.22/0.55 thf(f50,negated_conjecture,(
% 0.22/0.55 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X11 : reg] : (((ntpp @ spain @ X11) & (ntpp @ france @ X11)) => ((pp @ catalunya @ X11) & (pp @ paris @ X11)))))))),
% 0.22/0.55 inference(negated_conjecture,[],[f49])).
% 0.22/0.55 thf(f49,conjecture,(
% 0.22/0.55 (mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X11 : reg] : (((ntpp @ spain @ X11) & (ntpp @ france @ X11)) => ((pp @ catalunya @ X11) & (pp @ paris @ X11)))))))),
% 0.22/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.22/0.55 thf(f606,plain,(
% 0.22/0.55 ( ! [X3 : reg] : (((c @ X3 @ spain) = $true) | ((c @ X3 @ catalunya) = $false)) ) | ~spl0_10),
% 0.22/0.55 inference(avatar_component_clause,[],[f605])).
% 0.22/0.55 thf(f605,plain,(
% 0.22/0.55 spl0_10 <=> ! [X3 : reg] : (((c @ X3 @ catalunya) = $false) | ((c @ X3 @ spain) = $true))),
% 0.22/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 0.22/0.55 thf(f668,plain,(
% 0.22/0.55 ((c @ sK16 @ catalunya) = $true) | ~spl0_25),
% 0.22/0.55 inference(avatar_component_clause,[],[f666])).
% 0.22/0.55 thf(f666,plain,(
% 0.22/0.55 spl0_25 <=> ((c @ sK16 @ catalunya) = $true)),
% 0.22/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_25])])).
% 0.22/0.55 thf(f938,plain,(
% 0.22/0.55 ~spl0_23 | ~spl0_26 | ~spl0_29),
% 0.22/0.55 inference(avatar_contradiction_clause,[],[f937])).
% 0.22/0.55 thf(f937,plain,(
% 0.22/0.55 $false | (~spl0_23 | ~spl0_26 | ~spl0_29)),
% 0.22/0.55 inference(trivial_inequality_removal,[],[f936])).
% 0.22/0.55 thf(f936,plain,(
% 0.22/0.55 ($true = $false) | (~spl0_23 | ~spl0_26 | ~spl0_29)),
% 0.22/0.55 inference(backward_demodulation,[],[f915,f935])).
% 0.22/0.55 thf(f935,plain,(
% 0.22/0.55 ((c @ sK17 @ france) = $false) | ~spl0_23),
% 0.22/0.55 inference(trivial_inequality_removal,[],[f932])).
% 0.22/0.55 thf(f932,plain,(
% 0.22/0.55 ((c @ sK17 @ france) = $false) | ($true = $false) | ~spl0_23),
% 0.22/0.55 inference(superposition,[],[f338,f660])).
% 0.22/0.55 thf(f660,plain,(
% 0.22/0.55 ($false = (c @ sK17 @ sK7)) | ~spl0_23),
% 0.22/0.55 inference(avatar_component_clause,[],[f658])).
% 0.22/0.55 thf(f658,plain,(
% 0.22/0.55 spl0_23 <=> ($false = (c @ sK17 @ sK7))),
% 0.22/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_23])])).
% 0.22/0.55 thf(f338,plain,(
% 0.22/0.55 ( ! [X1 : reg] : (((c @ X1 @ sK7) = $true) | ((c @ X1 @ france) = $false)) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f337])).
% 0.22/0.55 thf(f337,plain,(
% 0.22/0.55 ( ! [X1 : reg] : ((((c @ X1 @ france) => (c @ X1 @ sK7)) = $true)) )),
% 0.22/0.55 inference(beta_eta_normalization,[],[f336])).
% 0.22/0.55 thf(f336,plain,(
% 0.22/0.55 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK7))) @ X1))) )),
% 0.22/0.55 inference(pi_clausification,[],[f335])).
% 0.22/0.55 thf(f335,plain,(
% 0.22/0.55 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK7)))))),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f294])).
% 0.22/0.55 thf(f294,plain,(
% 0.22/0.55 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ france)))))))),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f293])).
% 0.22/0.55 thf(f293,plain,(
% 0.22/0.55 (((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK7)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ sK7)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ france))))))) = $true)),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f291])).
% 0.22/0.55 thf(f915,plain,(
% 0.22/0.55 ($true = (c @ sK17 @ france)) | (~spl0_26 | ~spl0_29)),
% 0.22/0.55 inference(trivial_inequality_removal,[],[f913])).
% 0.22/0.55 thf(f913,plain,(
% 0.22/0.55 ($true = $false) | ($true = (c @ sK17 @ france)) | (~spl0_26 | ~spl0_29)),
% 0.22/0.55 inference(superposition,[],[f688,f673])).
% 0.22/0.55 thf(f673,plain,(
% 0.22/0.55 ($true = (c @ sK17 @ paris)) | ~spl0_26),
% 0.22/0.55 inference(avatar_component_clause,[],[f671])).
% 0.22/0.55 thf(f671,plain,(
% 0.22/0.55 spl0_26 <=> ($true = (c @ sK17 @ paris))),
% 0.22/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_26])])).
% 0.22/0.55 thf(f688,plain,(
% 0.22/0.55 ( ! [X3 : reg] : (((c @ X3 @ paris) = $false) | ((c @ X3 @ france) = $true)) ) | ~spl0_29),
% 0.22/0.55 inference(avatar_component_clause,[],[f687])).
% 0.22/0.55 thf(f687,plain,(
% 0.22/0.55 spl0_29 <=> ! [X3 : reg] : (((c @ X3 @ france) = $true) | ((c @ X3 @ paris) = $false))),
% 0.22/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_29])])).
% 0.22/0.55 thf(f904,plain,(
% 0.22/0.55 ~spl0_24 | ~spl0_29),
% 0.22/0.55 inference(avatar_contradiction_clause,[],[f903])).
% 0.22/0.55 thf(f903,plain,(
% 0.22/0.55 $false | (~spl0_24 | ~spl0_29)),
% 0.22/0.55 inference(trivial_inequality_removal,[],[f902])).
% 0.22/0.55 thf(f902,plain,(
% 0.22/0.55 ($true = $false) | (~spl0_24 | ~spl0_29)),
% 0.22/0.55 inference(forward_demodulation,[],[f891,f848])).
% 0.22/0.55 thf(f848,plain,(
% 0.22/0.55 ((c @ sK11 @ paris) = $false) | ~spl0_29),
% 0.22/0.55 inference(trivial_inequality_removal,[],[f845])).
% 0.22/0.55 thf(f845,plain,(
% 0.22/0.55 ((c @ sK11 @ paris) = $false) | ($true != $true) | ~spl0_29),
% 0.22/0.55 inference(fool_paramodulation,[],[f842])).
% 0.22/0.55 thf(f842,plain,(
% 0.22/0.55 ((c @ sK11 @ paris) != $true) | ~spl0_29),
% 0.22/0.55 inference(trivial_inequality_removal,[],[f841])).
% 0.22/0.55 thf(f841,plain,(
% 0.22/0.55 ($true != $true) | ((c @ sK11 @ paris) != $true) | ~spl0_29),
% 0.22/0.55 inference(superposition,[],[f839,f178])).
% 0.22/0.55 thf(f178,plain,(
% 0.22/0.55 ( ! [X0 : reg,X1 : reg] : (((c @ X1 @ X0) = $true) | ((c @ X0 @ X1) != $true)) )),
% 0.22/0.55 inference(cnf_transformation,[],[f147])).
% 0.22/0.55 thf(f147,plain,(
% 0.22/0.55 ! [X0 : reg,X1 : reg] : (((c @ X0 @ X1) != $true) | ((c @ X1 @ X0) = $true))),
% 0.22/0.55 inference(ennf_transformation,[],[f91])).
% 0.22/0.55 thf(f91,plain,(
% 0.22/0.55 ! [X0 : reg,X1 : reg] : (((c @ X0 @ X1) = $true) => ((c @ X1 @ X0) = $true))),
% 0.22/0.55 inference(fool_elimination,[],[f90])).
% 0.22/0.55 thf(f90,plain,(
% 0.22/0.55 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))),
% 0.22/0.55 inference(rectify,[],[f33])).
% 0.22/0.55 thf(f33,axiom,(
% 0.22/0.55 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))),
% 0.22/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_symmetric)).
% 0.22/0.55 thf(f839,plain,(
% 0.22/0.55 ($true != (c @ paris @ sK11)) | ~spl0_29),
% 0.22/0.55 inference(trivial_inequality_removal,[],[f836])).
% 0.22/0.55 thf(f836,plain,(
% 0.22/0.55 ($true = $false) | ($true != (c @ paris @ sK11)) | ~spl0_29),
% 0.22/0.55 inference(superposition,[],[f832,f342])).
% 0.22/0.55 thf(f342,plain,(
% 0.22/0.55 ($false = (c @ sK11 @ france))),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f341])).
% 0.22/0.55 thf(f341,plain,(
% 0.22/0.55 (((c @ sK11 @ sK7) => (c @ sK11 @ france)) = $false)),
% 0.22/0.55 inference(beta_eta_normalization,[],[f340])).
% 0.22/0.55 thf(f340,plain,(
% 0.22/0.55 (((^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ france))) @ sK11) = $false)),
% 0.22/0.55 inference(sigma_clausification,[],[f339])).
% 0.22/0.55 thf(f339,plain,(
% 0.22/0.55 ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ france)))))),
% 0.22/0.55 inference(not_proxy_clausification,[],[f334])).
% 0.22/0.55 thf(f334,plain,(
% 0.22/0.55 ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ france))))) = $true)),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f294])).
% 0.22/0.55 thf(f832,plain,(
% 0.22/0.55 ( ! [X0 : reg] : (($true = (c @ X0 @ france)) | ((c @ paris @ X0) != $true)) ) | ~spl0_29),
% 0.22/0.55 inference(trivial_inequality_removal,[],[f828])).
% 0.22/0.55 thf(f828,plain,(
% 0.22/0.55 ( ! [X0 : reg] : (((c @ paris @ X0) != $true) | ($true = $false) | ($true = (c @ X0 @ france))) ) | ~spl0_29),
% 0.22/0.55 inference(superposition,[],[f178,f688])).
% 0.22/0.55 thf(f891,plain,(
% 0.22/0.55 ((c @ sK11 @ paris) = $true) | ~spl0_24),
% 0.22/0.55 inference(trivial_inequality_removal,[],[f888])).
% 0.22/0.55 thf(f888,plain,(
% 0.22/0.55 ($true = $false) | ((c @ sK11 @ paris) = $true) | ~spl0_24),
% 0.22/0.55 inference(superposition,[],[f343,f663])).
% 0.22/0.55 thf(f663,plain,(
% 0.22/0.55 ( ! [X2 : reg] : (($false = (c @ X2 @ sK7)) | ((c @ X2 @ paris) = $true)) ) | ~spl0_24),
% 0.22/0.55 inference(avatar_component_clause,[],[f662])).
% 0.22/0.55 thf(f662,plain,(
% 0.22/0.55 spl0_24 <=> ! [X2 : reg] : (((c @ X2 @ paris) = $true) | ($false = (c @ X2 @ sK7)))),
% 0.22/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])).
% 0.22/0.55 thf(f343,plain,(
% 0.22/0.55 ($true = (c @ sK11 @ sK7))),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f341])).
% 0.22/0.55 thf(f879,plain,(
% 0.22/0.55 ~spl0_10 | ~spl0_21),
% 0.22/0.55 inference(avatar_contradiction_clause,[],[f878])).
% 0.22/0.55 thf(f878,plain,(
% 0.22/0.55 $false | (~spl0_10 | ~spl0_21)),
% 0.22/0.55 inference(trivial_inequality_removal,[],[f877])).
% 0.22/0.55 thf(f877,plain,(
% 0.22/0.55 ($true = $false) | (~spl0_10 | ~spl0_21)),
% 0.22/0.55 inference(backward_demodulation,[],[f396,f875])).
% 0.22/0.55 thf(f875,plain,(
% 0.22/0.55 ((c @ sK15 @ sK7) = $false) | (~spl0_10 | ~spl0_21)),
% 0.22/0.55 inference(trivial_inequality_removal,[],[f871])).
% 0.22/0.55 thf(f871,plain,(
% 0.22/0.55 ((c @ sK15 @ sK7) = $false) | ($true = $false) | (~spl0_10 | ~spl0_21)),
% 0.22/0.55 inference(superposition,[],[f803,f652])).
% 0.22/0.55 thf(f652,plain,(
% 0.22/0.55 ( ! [X1 : reg] : (($true = (c @ X1 @ catalunya)) | ((c @ X1 @ sK7) = $false)) ) | ~spl0_21),
% 0.22/0.55 inference(avatar_component_clause,[],[f651])).
% 0.22/0.55 thf(f651,plain,(
% 0.22/0.55 spl0_21 <=> ! [X1 : reg] : (((c @ X1 @ sK7) = $false) | ($true = (c @ X1 @ catalunya)))),
% 0.22/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_21])])).
% 0.22/0.55 thf(f803,plain,(
% 0.22/0.55 ((c @ sK15 @ catalunya) = $false) | ~spl0_10),
% 0.22/0.55 inference(trivial_inequality_removal,[],[f800])).
% 0.22/0.55 thf(f800,plain,(
% 0.22/0.55 ((c @ sK15 @ catalunya) = $false) | ($true = $false) | ~spl0_10),
% 0.22/0.55 inference(superposition,[],[f606,f395])).
% 0.22/0.55 thf(f395,plain,(
% 0.22/0.55 ((c @ sK15 @ spain) = $false)),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f394])).
% 0.22/0.55 thf(f394,plain,(
% 0.22/0.55 ($false = ((c @ sK15 @ sK7) => (c @ sK15 @ spain)))),
% 0.22/0.55 inference(beta_eta_normalization,[],[f393])).
% 0.22/0.55 thf(f393,plain,(
% 0.22/0.55 ($false = ((^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ spain))) @ sK15))),
% 0.22/0.55 inference(sigma_clausification,[],[f392])).
% 0.22/0.55 thf(f392,plain,(
% 0.22/0.55 ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ spain)))))),
% 0.22/0.55 inference(not_proxy_clausification,[],[f387])).
% 0.22/0.55 thf(f387,plain,(
% 0.22/0.55 ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ spain))))) = $true)),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f344])).
% 0.22/0.55 thf(f396,plain,(
% 0.22/0.55 ((c @ sK15 @ sK7) = $true)),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f394])).
% 0.22/0.55 thf(f708,plain,(
% 0.22/0.55 ~spl0_7),
% 0.22/0.55 inference(avatar_contradiction_clause,[],[f707])).
% 0.22/0.55 thf(f707,plain,(
% 0.22/0.55 $false | ~spl0_7),
% 0.22/0.55 inference(trivial_inequality_removal,[],[f706])).
% 0.22/0.55 thf(f706,plain,(
% 0.22/0.55 ($true = $false) | ~spl0_7),
% 0.22/0.55 inference(backward_demodulation,[],[f432,f593])).
% 0.22/0.55 thf(f593,plain,(
% 0.22/0.55 ( ! [X2 : $i,X1 : $i] : (($false = (a @ X1 @ X2))) ) | ~spl0_7),
% 0.22/0.55 inference(avatar_component_clause,[],[f592])).
% 0.22/0.55 thf(f592,plain,(
% 0.22/0.55 spl0_7 <=> ! [X2,X1] : ($false = (a @ X1 @ X2))),
% 0.22/0.55 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 0.22/0.55 thf(f432,plain,(
% 0.22/0.55 ($true = (a @ sK5 @ sK6))),
% 0.22/0.55 inference(not_proxy_clausification,[],[f286])).
% 0.22/0.55 thf(f286,plain,(
% 0.22/0.55 ((~ (a @ sK5 @ sK6)) = $false)),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f285])).
% 0.22/0.55 thf(f689,plain,(
% 0.22/0.55 spl0_7 | spl0_29),
% 0.22/0.55 inference(avatar_split_clause,[],[f273,f687,f592])).
% 0.22/0.55 thf(f273,plain,(
% 0.22/0.55 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((c @ X3 @ france) = $true) | ((c @ X3 @ paris) = $false) | ($false = (a @ X1 @ X2))) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f272])).
% 0.22/0.55 thf(f272,plain,(
% 0.22/0.55 ( ! [X2 : $i,X3 : reg,X1 : $i] : ((((c @ X3 @ paris) => (c @ X3 @ france)) = $true) | ($false = (a @ X1 @ X2))) )),
% 0.22/0.55 inference(beta_eta_normalization,[],[f271])).
% 0.22/0.55 thf(f271,plain,(
% 0.22/0.55 ( ! [X2 : $i,X3 : reg,X1 : $i] : ((((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X3) = $true) | ($false = (a @ X1 @ X2))) )),
% 0.22/0.55 inference(pi_clausification,[],[f270])).
% 0.22/0.55 thf(f270,plain,(
% 0.22/0.55 ( ! [X2 : $i,X1 : $i] : (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) = $true) | ($false = (a @ X1 @ X2))) )),
% 0.22/0.55 inference(not_proxy_clausification,[],[f269])).
% 0.22/0.55 thf(f269,plain,(
% 0.22/0.55 ( ! [X2 : $i,X1 : $i] : (($true = (~ (a @ X1 @ X2))) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) = $true)) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f226])).
% 0.22/0.55 thf(f226,plain,(
% 0.22/0.55 ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))) | ($true = (~ (a @ X1 @ X2)))) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f225])).
% 0.22/0.55 thf(f225,plain,(
% 0.22/0.55 ( ! [X2 : $i,X1 : $i] : ((((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))) = $true) | ($true = (~ (a @ X1 @ X2)))) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f224])).
% 0.22/0.55 thf(f224,plain,(
% 0.22/0.55 ( ! [X2 : $i,X1 : $i] : (($true = (((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))) | (~ (a @ X1 @ X2))))) )),
% 0.22/0.55 inference(beta_eta_normalization,[],[f223])).
% 0.22/0.55 thf(f223,plain,(
% 0.22/0.55 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ paris)))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))))) | (~ (a @ X1 @ Y0)))) @ X2))) )),
% 0.22/0.55 inference(pi_clausification,[],[f222])).
% 0.22/0.55 thf(f222,plain,(
% 0.22/0.55 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ paris)))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))))) | (~ (a @ X1 @ Y0))))))) )),
% 0.22/0.55 inference(beta_eta_normalization,[],[f221])).
% 0.22/0.55 thf(f221,plain,(
% 0.22/0.55 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ france)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ paris)))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))))) | (~ (a @ Y0 @ Y1)))))) @ X1))) )),
% 0.22/0.55 inference(pi_clausification,[],[f220])).
% 0.22/0.55 thf(f220,plain,(
% 0.22/0.55 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ france)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ paris)))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))))) | (~ (a @ Y0 @ Y1))))))))),
% 0.22/0.55 inference(beta_eta_normalization,[],[f215])).
% 0.22/0.55 thf(f215,plain,(
% 0.22/0.55 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1))))) & ((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2))))) @ paris @ france)))))),
% 0.22/0.55 inference(definition_unfolding,[],[f177,f182,f150,f212])).
% 0.22/0.55 thf(f177,plain,(
% 0.22/0.55 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
% 0.22/0.55 inference(cnf_transformation,[],[f97])).
% 0.22/0.55 thf(f97,plain,(
% 0.22/0.55 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
% 0.22/0.55 inference(fool_elimination,[],[f96])).
% 0.22/0.55 thf(f96,plain,(
% 0.22/0.55 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 0.22/0.55 inference(rectify,[],[f48])).
% 0.22/0.55 thf(f48,axiom,(
% 0.22/0.55 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 0.22/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)).
% 0.22/0.55 thf(f675,plain,(
% 0.22/0.55 spl0_21 | spl0_24 | spl0_25 | spl0_26),
% 0.22/0.55 inference(avatar_split_clause,[],[f415,f671,f666,f662,f651])).
% 0.22/0.55 thf(f415,plain,(
% 0.22/0.55 ( ! [X2 : reg,X1 : reg] : (($true = (c @ sK17 @ paris)) | ((c @ X1 @ sK7) = $false) | ($true = (c @ X1 @ catalunya)) | ((c @ sK16 @ catalunya) = $true) | ($false = (c @ X2 @ sK7)) | ((c @ X2 @ paris) = $true)) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f414])).
% 0.22/0.55 thf(f414,plain,(
% 0.22/0.55 ( ! [X2 : reg,X1 : reg] : (($true = (c @ sK17 @ paris)) | ((c @ sK16 @ catalunya) = $true) | ($true = ((c @ X2 @ sK7) => (c @ X2 @ paris))) | ($true = (c @ X1 @ catalunya)) | ((c @ X1 @ sK7) = $false)) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f413])).
% 0.22/0.55 thf(f413,plain,(
% 0.22/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ sK16 @ catalunya) = $true) | ($true = (c @ sK17 @ paris)) | (((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true) | ($true = ((c @ X2 @ sK7) => (c @ X2 @ paris)))) )),
% 0.22/0.55 inference(beta_eta_normalization,[],[f412])).
% 0.22/0.55 thf(f412,plain,(
% 0.22/0.55 ( ! [X2 : reg,X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris))) @ X2) = $true) | ($true = (c @ sK17 @ paris)) | ((c @ sK16 @ catalunya) = $true) | (((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true)) )),
% 0.22/0.55 inference(pi_clausification,[],[f411])).
% 0.22/0.55 thf(f411,plain,(
% 0.22/0.55 ( ! [X1 : reg] : (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))) = $true) | ($true = (c @ sK17 @ paris)) | ((c @ sK16 @ catalunya) = $true) | (((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true)) )),
% 0.22/0.55 inference(not_proxy_clausification,[],[f410])).
% 0.22/0.55 thf(f410,plain,(
% 0.22/0.55 ( ! [X1 : reg] : (((c @ sK16 @ catalunya) = $true) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))))) | (((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true) | ($true = (c @ sK17 @ paris))) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f408])).
% 0.22/0.55 thf(f408,plain,(
% 0.22/0.55 ( ! [X1 : reg] : (($true = (c @ sK17 @ paris)) | (((c @ sK16 @ catalunya) => (c @ sK16 @ sK7)) = $false) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))))) | (((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true)) )),
% 0.22/0.55 inference(beta_eta_normalization,[],[f407])).
% 0.22/0.55 thf(f407,plain,(
% 0.22/0.55 ( ! [X1 : reg] : (($true = (c @ sK17 @ paris)) | (((^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya))) @ X1) = $true) | (((c @ sK16 @ catalunya) => (c @ sK16 @ sK7)) = $false) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris))))))) )),
% 0.22/0.55 inference(pi_clausification,[],[f406])).
% 0.22/0.55 thf(f406,plain,(
% 0.22/0.55 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya))))) | (((c @ sK16 @ catalunya) => (c @ sK16 @ sK7)) = $false) | ($true = (c @ sK17 @ paris)) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris))))))),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f404])).
% 0.22/0.55 thf(f404,plain,(
% 0.22/0.55 (((c @ sK17 @ paris) => (c @ sK17 @ sK7)) = $false) | (((c @ sK16 @ catalunya) => (c @ sK16 @ sK7)) = $false) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))))) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya)))))),
% 0.22/0.55 inference(beta_eta_normalization,[],[f403])).
% 0.22/0.55 thf(f403,plain,(
% 0.22/0.55 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya))))) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))))) | (((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK7))) @ sK17) = $false) | (((c @ sK16 @ catalunya) => (c @ sK16 @ sK7)) = $false)),
% 0.22/0.55 inference(sigma_clausification,[],[f402])).
% 0.22/0.55 thf(f402,plain,(
% 0.22/0.55 ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK7))))) | (((c @ sK16 @ catalunya) => (c @ sK16 @ sK7)) = $false) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))))) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya)))))),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f401])).
% 0.22/0.55 thf(f401,plain,(
% 0.22/0.55 ($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris))))))) | (((c @ sK16 @ catalunya) => (c @ sK16 @ sK7)) = $false) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya)))))),
% 0.22/0.55 inference(not_proxy_clausification,[],[f400])).
% 0.22/0.55 thf(f400,plain,(
% 0.22/0.55 ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya)))))) | ($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris))))))) | (((c @ sK16 @ catalunya) => (c @ sK16 @ sK7)) = $false)),
% 0.22/0.55 inference(beta_eta_normalization,[],[f399])).
% 0.22/0.55 thf(f399,plain,(
% 0.22/0.55 (((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK7))) @ sK16) = $false) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya)))))) | ($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))))))),
% 0.22/0.55 inference(sigma_clausification,[],[f398])).
% 0.22/0.55 thf(f398,plain,(
% 0.22/0.55 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK7)))) = $false) | ($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris))))))) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya))))))),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f397])).
% 0.22/0.55 thf(f397,plain,(
% 0.22/0.55 ($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya))))))) | ($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))))))),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f290])).
% 0.22/0.55 thf(f290,plain,(
% 0.22/0.55 ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ sK7)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya))))))) = $false)),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f289])).
% 0.22/0.55 thf(f674,plain,(
% 0.22/0.55 spl0_26 | spl0_21 | spl0_22 | spl0_24),
% 0.22/0.55 inference(avatar_split_clause,[],[f420,f662,f654,f651,f671])).
% 0.22/0.55 thf(f420,plain,(
% 0.22/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ X1 @ sK7) = $false) | ((c @ X2 @ paris) = $true) | ($false = (c @ sK16 @ sK7)) | ($true = (c @ sK17 @ paris)) | ($false = (c @ X2 @ sK7)) | ($true = (c @ X1 @ catalunya))) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f419])).
% 0.22/0.55 thf(f419,plain,(
% 0.22/0.55 ( ! [X2 : reg,X1 : reg] : (($true = ((c @ X2 @ sK7) => (c @ X2 @ paris))) | ($true = (c @ sK17 @ paris)) | ((c @ X1 @ sK7) = $false) | ($true = (c @ X1 @ catalunya)) | ($false = (c @ sK16 @ sK7))) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f418])).
% 0.22/0.55 thf(f418,plain,(
% 0.22/0.55 ( ! [X2 : reg,X1 : reg] : ((((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true) | ($false = (c @ sK16 @ sK7)) | ($true = ((c @ X2 @ sK7) => (c @ X2 @ paris))) | ($true = (c @ sK17 @ paris))) )),
% 0.22/0.55 inference(beta_eta_normalization,[],[f417])).
% 0.22/0.55 thf(f417,plain,(
% 0.22/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (c @ sK16 @ sK7)) | (((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true) | ($true = (c @ sK17 @ paris)) | (((^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris))) @ X2) = $true)) )),
% 0.22/0.55 inference(pi_clausification,[],[f416])).
% 0.22/0.55 thf(f416,plain,(
% 0.22/0.55 ( ! [X1 : reg] : (($false = (c @ sK16 @ sK7)) | ($true = (c @ sK17 @ paris)) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))) = $true) | (((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true)) )),
% 0.22/0.55 inference(not_proxy_clausification,[],[f409])).
% 0.22/0.55 thf(f409,plain,(
% 0.22/0.55 ( ! [X1 : reg] : (($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))))) | ($true = (c @ sK17 @ paris)) | (((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true) | ($false = (c @ sK16 @ sK7))) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f408])).
% 0.22/0.55 thf(f669,plain,(
% 0.22/0.55 spl0_24 | spl0_21 | spl0_23 | spl0_25),
% 0.22/0.55 inference(avatar_split_clause,[],[f429,f666,f658,f651,f662])).
% 0.22/0.55 thf(f429,plain,(
% 0.22/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (c @ sK17 @ sK7)) | ((c @ X1 @ sK7) = $false) | ($true = (c @ X1 @ catalunya)) | ((c @ X2 @ paris) = $true) | ($false = (c @ X2 @ sK7)) | ((c @ sK16 @ catalunya) = $true)) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f428])).
% 0.22/0.55 thf(f428,plain,(
% 0.22/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (c @ sK17 @ sK7)) | ($false = (c @ X2 @ sK7)) | ((c @ sK16 @ catalunya) = $true) | (((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true) | ((c @ X2 @ paris) = $true)) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f427])).
% 0.22/0.55 thf(f427,plain,(
% 0.22/0.55 ( ! [X2 : reg,X1 : reg] : (($true = ((c @ X2 @ sK7) => (c @ X2 @ paris))) | ((c @ sK16 @ catalunya) = $true) | (((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true) | ($false = (c @ sK17 @ sK7))) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f425])).
% 0.22/0.55 thf(f425,plain,(
% 0.22/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (c @ sK17 @ sK7)) | (((c @ sK16 @ catalunya) => (c @ sK16 @ sK7)) = $false) | (((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true) | ($true = ((c @ X2 @ sK7) => (c @ X2 @ paris)))) )),
% 0.22/0.55 inference(beta_eta_normalization,[],[f424])).
% 0.22/0.55 thf(f424,plain,(
% 0.22/0.55 ( ! [X2 : reg,X1 : reg] : ((((c @ sK16 @ catalunya) => (c @ sK16 @ sK7)) = $false) | (((^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris))) @ X2) = $true) | (((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true) | ($false = (c @ sK17 @ sK7))) )),
% 0.22/0.55 inference(pi_clausification,[],[f423])).
% 0.22/0.55 thf(f423,plain,(
% 0.22/0.55 ( ! [X1 : reg] : (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))) = $true) | (((c @ sK16 @ catalunya) => (c @ sK16 @ sK7)) = $false) | (((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true) | ($false = (c @ sK17 @ sK7))) )),
% 0.22/0.55 inference(not_proxy_clausification,[],[f422])).
% 0.22/0.55 thf(f422,plain,(
% 0.22/0.55 ( ! [X1 : reg] : (($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))))) | (((c @ sK16 @ catalunya) => (c @ sK16 @ sK7)) = $false) | ($false = (c @ sK17 @ sK7)) | (((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true)) )),
% 0.22/0.55 inference(beta_eta_normalization,[],[f421])).
% 0.22/0.55 thf(f421,plain,(
% 0.22/0.55 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya))) @ X1) = $true) | ($false = (c @ sK17 @ sK7)) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))))) | (((c @ sK16 @ catalunya) => (c @ sK16 @ sK7)) = $false)) )),
% 0.22/0.55 inference(pi_clausification,[],[f405])).
% 0.22/0.55 thf(f405,plain,(
% 0.22/0.55 ($false = (c @ sK17 @ sK7)) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ catalunya))))) | (((c @ sK16 @ catalunya) => (c @ sK16 @ sK7)) = $false) | ($false = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris))))))),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f404])).
% 0.22/0.55 thf(f664,plain,(
% 0.22/0.55 spl0_21 | spl0_22 | spl0_23 | spl0_24),
% 0.22/0.55 inference(avatar_split_clause,[],[f431,f662,f658,f654,f651])).
% 0.22/0.55 thf(f431,plain,(
% 0.22/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ X1 @ sK7) = $false) | ((c @ X2 @ paris) = $true) | ($false = (c @ sK17 @ sK7)) | ($true = (c @ X1 @ catalunya)) | ($false = (c @ sK16 @ sK7)) | ($false = (c @ X2 @ sK7))) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f430])).
% 0.22/0.55 thf(f430,plain,(
% 0.22/0.55 ( ! [X2 : reg,X1 : reg] : (((c @ X2 @ paris) = $true) | ($false = (c @ sK17 @ sK7)) | ($false = (c @ sK16 @ sK7)) | (((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true) | ($false = (c @ X2 @ sK7))) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f426])).
% 0.22/0.55 thf(f426,plain,(
% 0.22/0.55 ( ! [X2 : reg,X1 : reg] : (($false = (c @ sK17 @ sK7)) | ($true = ((c @ X2 @ sK7) => (c @ X2 @ paris))) | (((c @ X1 @ sK7) => (c @ X1 @ catalunya)) = $true) | ($false = (c @ sK16 @ sK7))) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f425])).
% 0.22/0.55 thf(f607,plain,(
% 0.22/0.55 spl0_7 | spl0_10),
% 0.22/0.55 inference(avatar_split_clause,[],[f508,f605,f592])).
% 0.22/0.55 thf(f508,plain,(
% 0.22/0.55 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((c @ X3 @ catalunya) = $false) | ($false = (a @ X1 @ X2)) | ((c @ X3 @ spain) = $true)) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f507])).
% 0.22/0.55 thf(f507,plain,(
% 0.22/0.55 ( ! [X2 : $i,X3 : reg,X1 : $i] : ((((c @ X3 @ catalunya) => (c @ X3 @ spain)) = $true) | ($false = (a @ X1 @ X2))) )),
% 0.22/0.55 inference(beta_eta_normalization,[],[f506])).
% 0.22/0.55 thf(f506,plain,(
% 0.22/0.55 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X3)) | ($false = (a @ X1 @ X2))) )),
% 0.22/0.55 inference(pi_clausification,[],[f505])).
% 0.22/0.55 thf(f505,plain,(
% 0.22/0.55 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))) | ($false = (a @ X1 @ X2))) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f464])).
% 0.22/0.55 thf(f464,plain,(
% 0.22/0.55 ( ! [X2 : $i,X1 : $i] : (($false = (a @ X1 @ X2)) | ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f463])).
% 0.22/0.55 thf(f463,plain,(
% 0.22/0.55 ( ! [X2 : $i,X1 : $i] : ((((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) = $true) | ($false = (a @ X1 @ X2))) )),
% 0.22/0.55 inference(not_proxy_clausification,[],[f462])).
% 0.22/0.55 thf(f462,plain,(
% 0.22/0.55 ( ! [X2 : $i,X1 : $i] : (($true = (~ (a @ X1 @ X2))) | (((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) = $true)) )),
% 0.22/0.55 inference(binary_proxy_clausification,[],[f461])).
% 0.22/0.55 thf(f461,plain,(
% 0.22/0.55 ( ! [X2 : $i,X1 : $i] : (((((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) | (~ (a @ X1 @ X2))) = $true)) )),
% 0.22/0.55 inference(beta_eta_normalization,[],[f460])).
% 0.22/0.55 thf(f460,plain,(
% 0.22/0.55 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ catalunya)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))))) | (~ (a @ X1 @ Y0)))) @ X2))) )),
% 0.22/0.55 inference(pi_clausification,[],[f459])).
% 0.22/0.55 thf(f459,plain,(
% 0.22/0.55 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ catalunya)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))))) | (~ (a @ X1 @ Y0))))) = $true)) )),
% 0.22/0.55 inference(beta_eta_normalization,[],[f458])).
% 0.22/0.55 thf(f458,plain,(
% 0.22/0.55 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ catalunya)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ spain))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))))) | (~ (a @ Y0 @ Y1)))))) @ X1) = $true)) )),
% 0.22/0.55 inference(pi_clausification,[],[f457])).
% 0.22/0.55 thf(f457,plain,(
% 0.22/0.55 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ catalunya)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ spain))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))))) | (~ (a @ Y0 @ Y1))))))))),
% 0.22/0.55 inference(beta_eta_normalization,[],[f213])).
% 0.22/0.55 thf(f213,plain,(
% 0.22/0.55 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2)))) & ((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2))))) @ catalunya @ spain)))))),
% 0.22/0.55 inference(definition_unfolding,[],[f151,f182,f150,f211])).
% 0.22/0.55 thf(f211,plain,(
% 0.22/0.55 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1)))) & ((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1))))))),
% 0.22/0.55 inference(definition_unfolding,[],[f174,f209,f209,f210])).
% 0.22/0.55 thf(f174,plain,(
% 0.22/0.55 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
% 0.22/0.55 inference(cnf_transformation,[],[f107])).
% 0.22/0.55 thf(f107,plain,(
% 0.22/0.55 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
% 0.22/0.55 inference(fool_elimination,[],[f106])).
% 0.22/0.55 thf(f106,plain,(
% 0.22/0.55 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)))) = tpp)),
% 0.22/0.55 inference(rectify,[],[f41])).
% 0.22/0.55 thf(f41,axiom,(
% 0.22/0.55 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)))) = tpp)),
% 0.22/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tpp)).
% 0.22/0.55 thf(f151,plain,(
% 0.22/0.55 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)),
% 0.22/0.55 inference(cnf_transformation,[],[f85])).
% 0.22/0.55 thf(f85,plain,(
% 0.22/0.55 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)),
% 0.22/0.55 inference(fool_elimination,[],[f84])).
% 0.22/0.55 thf(f84,plain,(
% 0.22/0.55 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 0.22/0.55 inference(rectify,[],[f46])).
% 0.22/0.55 thf(f46,axiom,(
% 0.22/0.55 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 0.22/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)).
% 0.22/0.55 % SZS output end Proof for theBenchmark
% 0.22/0.55 % (30569)------------------------------
% 0.22/0.55 % (30569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (30569)Termination reason: Refutation
% 0.22/0.55
% 0.22/0.55 % (30569)Memory used [KB]: 6524
% 0.22/0.55 % (30569)Time elapsed: 0.067 s
% 0.22/0.55 % (30569)Instructions burned: 93 (million)
% 0.22/0.55 % (30569)------------------------------
% 0.22/0.55 % (30569)------------------------------
% 0.22/0.55 % (30542)Success in time 0.172 s
% 0.22/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------