TSTP Solution File: GEG003^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEG003^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:08:19 EDT 2024
% Result : Theorem 3.14s 0.78s
% Output : Refutation 3.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEG003^1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.14 % 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
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 19:49:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718
% 0.15/0.37 % (13967)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.37 % (13967)Instruction limit reached!
% 0.15/0.37 % (13967)------------------------------
% 0.15/0.37 % (13967)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (13967)Termination reason: Unknown
% 0.15/0.37 % (13967)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (13967)Memory used [KB]: 1023
% 0.15/0.37 % (13967)Time elapsed: 0.002 s
% 0.15/0.37 % (13967)Instructions burned: 3 (million)
% 0.15/0.37 % (13967)------------------------------
% 0.15/0.37 % (13967)------------------------------
% 0.15/0.38 % (13963)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.15/0.38 % (13964)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.15/0.38 % (13965)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.15/0.38 % (13966)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.38 % (13968)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.15/0.38 % (13969)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.38 % (13970)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.38 % (13966)Instruction limit reached!
% 0.15/0.38 % (13966)------------------------------
% 0.15/0.38 % (13966)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (13966)Termination reason: Unknown
% 0.15/0.38 % (13966)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (13966)Memory used [KB]: 1023
% 0.15/0.38 % (13966)Time elapsed: 0.003 s
% 0.15/0.38 % (13966)Instructions burned: 2 (million)
% 0.15/0.38 % (13966)------------------------------
% 0.15/0.38 % (13966)------------------------------
% 0.15/0.38 % (13970)Instruction limit reached!
% 0.15/0.38 % (13970)------------------------------
% 0.15/0.38 % (13970)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (13970)Termination reason: Unknown
% 0.15/0.38 % (13970)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (13970)Memory used [KB]: 1023
% 0.15/0.38 % (13970)Time elapsed: 0.004 s
% 0.15/0.38 % (13970)Instructions burned: 3 (million)
% 0.15/0.38 % (13970)------------------------------
% 0.15/0.38 % (13970)------------------------------
% 0.15/0.38 % (13964)Instruction limit reached!
% 0.15/0.38 % (13964)------------------------------
% 0.15/0.38 % (13964)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (13964)Termination reason: Unknown
% 0.15/0.38 % (13964)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (13964)Memory used [KB]: 1151
% 0.15/0.38 % (13964)Time elapsed: 0.005 s
% 0.15/0.38 % (13964)Instructions burned: 5 (million)
% 0.15/0.38 % (13964)------------------------------
% 0.15/0.38 % (13964)------------------------------
% 0.15/0.38 % (13971)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.15/0.39 % (13968)Refutation not found, incomplete strategy
% 0.15/0.39 % (13968)------------------------------
% 0.15/0.39 % (13968)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (13968)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39
% 0.15/0.39
% 0.15/0.39 % (13968)Memory used [KB]: 5628
% 0.15/0.39 % (13968)Time elapsed: 0.008 s
% 0.15/0.39 % (13968)Instructions burned: 10 (million)
% 0.15/0.39 % (13968)------------------------------
% 0.15/0.39 % (13968)------------------------------
% 0.15/0.39 % (13969)Instruction limit reached!
% 0.15/0.39 % (13969)------------------------------
% 0.15/0.39 % (13969)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (13969)Termination reason: Unknown
% 0.15/0.39 % (13969)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (13969)Memory used [KB]: 5756
% 0.15/0.39 % (13969)Time elapsed: 0.012 s
% 0.15/0.39 % (13969)Instructions burned: 19 (million)
% 0.15/0.39 % (13969)------------------------------
% 0.15/0.39 % (13969)------------------------------
% 0.15/0.39 % (13965)Instruction limit reached!
% 0.15/0.39 % (13965)------------------------------
% 0.15/0.39 % (13965)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (13965)Termination reason: Unknown
% 0.15/0.39 % (13965)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (13965)Memory used [KB]: 5756
% 0.15/0.39 % (13965)Time elapsed: 0.016 s
% 0.15/0.39 % (13965)Instructions burned: 28 (million)
% 0.15/0.39 % (13965)------------------------------
% 0.15/0.39 % (13965)------------------------------
% 0.15/0.39 % (13972)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.15/0.39 % (13971)Instruction limit reached!
% 0.15/0.39 % (13971)------------------------------
% 0.15/0.39 % (13971)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (13971)Termination reason: Unknown
% 0.15/0.39 % (13971)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (13971)Memory used [KB]: 5884
% 0.15/0.40 % (13971)Time elapsed: 0.013 s
% 0.15/0.40 % (13971)Instructions burned: 37 (million)
% 0.15/0.40 % (13971)------------------------------
% 0.15/0.40 % (13971)------------------------------
% 0.15/0.40 % (13973)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.40 % (13974)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.15/0.40 % (13973)Instruction limit reached!
% 0.15/0.40 % (13973)------------------------------
% 0.15/0.40 % (13973)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (13973)Termination reason: Unknown
% 0.15/0.40 % (13973)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (13973)Memory used [KB]: 1151
% 0.15/0.40 % (13973)Time elapsed: 0.004 s
% 0.15/0.40 % (13973)Instructions burned: 4 (million)
% 0.15/0.40 % (13973)------------------------------
% 0.15/0.40 % (13973)------------------------------
% 0.15/0.40 % (13975)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.15/0.40 % (13972)Instruction limit reached!
% 0.15/0.40 % (13972)------------------------------
% 0.15/0.40 % (13972)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (13972)Termination reason: Unknown
% 0.15/0.40 % (13972)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (13972)Memory used [KB]: 1151
% 0.15/0.40 % (13972)Time elapsed: 0.010 s
% 0.15/0.40 % (13972)Instructions burned: 16 (million)
% 0.15/0.40 % (13972)------------------------------
% 0.15/0.40 % (13972)------------------------------
% 0.15/0.40 % (13976)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.15/0.40 % (13975)Instruction limit reached!
% 0.15/0.40 % (13975)------------------------------
% 0.15/0.40 % (13975)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (13975)Termination reason: Unknown
% 0.15/0.40 % (13975)Termination phase: SInE selection
% 0.15/0.40
% 0.15/0.40 % (13975)Memory used [KB]: 1151
% 0.15/0.40 % (13975)Time elapsed: 0.006 s
% 0.15/0.40 % (13975)Instructions burned: 8 (million)
% 0.15/0.40 % (13975)------------------------------
% 0.15/0.40 % (13975)------------------------------
% 0.15/0.40 % (13978)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.41 % (13978)Instruction limit reached!
% 0.15/0.41 % (13978)------------------------------
% 0.15/0.41 % (13978)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (13978)Termination reason: Unknown
% 0.15/0.41 % (13978)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (13978)Memory used [KB]: 1023
% 0.15/0.41 % (13978)Time elapsed: 0.002 s
% 0.15/0.41 % (13978)Instructions burned: 3 (million)
% 0.15/0.41 % (13978)------------------------------
% 0.15/0.41 % (13978)------------------------------
% 0.15/0.41 % (13977)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.41 % (13977)Instruction limit reached!
% 0.15/0.41 % (13977)------------------------------
% 0.15/0.41 % (13977)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (13977)Termination reason: Unknown
% 0.15/0.41 % (13977)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (13977)Memory used [KB]: 1151
% 0.15/0.41 % (13977)Time elapsed: 0.004 s
% 0.15/0.41 % (13977)Instructions burned: 4 (million)
% 0.15/0.41 % (13977)------------------------------
% 0.15/0.41 % (13977)------------------------------
% 0.21/0.41 % (13976)Instruction limit reached!
% 0.21/0.41 % (13976)------------------------------
% 0.21/0.41 % (13976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (13976)Termination reason: Unknown
% 0.21/0.41 % (13976)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (13976)Memory used [KB]: 5628
% 0.21/0.41 % (13976)Time elapsed: 0.010 s
% 0.21/0.41 % (13976)Instructions burned: 16 (million)
% 0.21/0.41 % (13976)------------------------------
% 0.21/0.41 % (13976)------------------------------
% 0.21/0.41 % (13979)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.41 % (13984)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.42 % (13979)Instruction limit reached!
% 0.21/0.42 % (13979)------------------------------
% 0.21/0.42 % (13979)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (13979)Termination reason: Unknown
% 0.21/0.42 % (13979)Termination phase: Preprocessing 3
% 0.21/0.42
% 0.21/0.42 % (13979)Memory used [KB]: 1151
% 0.21/0.42 % (13979)Time elapsed: 0.007 s
% 0.21/0.42 % (13979)Instructions burned: 7 (million)
% 0.21/0.42 % (13979)------------------------------
% 0.21/0.42 % (13979)------------------------------
% 0.21/0.42 % (13981)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.42 % (13981)Instruction limit reached!
% 0.21/0.42 % (13981)------------------------------
% 0.21/0.42 % (13981)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (13981)Termination reason: Unknown
% 0.21/0.42 % (13981)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (13981)Memory used [KB]: 1023
% 0.21/0.42 % (13981)Time elapsed: 0.004 s
% 0.21/0.42 % (13981)Instructions burned: 3 (million)
% 0.21/0.42 % (13981)------------------------------
% 0.21/0.42 % (13981)------------------------------
% 0.21/0.42 % (13983)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.21/0.42 % (13984)Instruction limit reached!
% 0.21/0.42 % (13984)------------------------------
% 0.21/0.42 % (13984)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (13984)Termination reason: Unknown
% 0.21/0.42 % (13984)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (13984)Memory used [KB]: 5756
% 0.21/0.42 % (13984)Time elapsed: 0.011 s
% 0.21/0.42 % (13984)Instructions burned: 18 (million)
% 0.21/0.42 % (13984)------------------------------
% 0.21/0.42 % (13984)------------------------------
% 0.21/0.42 % (13983)Instruction limit reached!
% 0.21/0.42 % (13983)------------------------------
% 0.21/0.42 % (13983)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (13983)Termination reason: Unknown
% 0.21/0.43 % (13983)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (13983)Memory used [KB]: 1023
% 0.21/0.43 % (13983)Time elapsed: 0.005 s
% 0.21/0.43 % (13983)Instructions burned: 4 (million)
% 0.21/0.43 % (13983)------------------------------
% 0.21/0.43 % (13983)------------------------------
% 0.21/0.43 % (13985)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.21/0.44 % (13986)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.21/0.44 % (13996)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.21/0.44 % (13986)Instruction limit reached!
% 0.21/0.44 % (13986)------------------------------
% 0.21/0.44 % (13986)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (13986)Termination reason: Unknown
% 0.21/0.44 % (13986)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (13986)Memory used [KB]: 1151
% 0.21/0.44 % (13986)Time elapsed: 0.007 s
% 0.21/0.44 % (13986)Instructions burned: 6 (million)
% 0.21/0.44 % (13986)------------------------------
% 0.21/0.44 % (13986)------------------------------
% 0.21/0.44 % (13996)Instruction limit reached!
% 0.21/0.44 % (13996)------------------------------
% 0.21/0.44 % (13996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (13996)Termination reason: Unknown
% 0.21/0.44 % (13996)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (13996)Memory used [KB]: 1151
% 0.21/0.44 % (13996)Time elapsed: 0.004 s
% 0.21/0.44 % (13996)Instructions burned: 5 (million)
% 0.21/0.44 % (13996)------------------------------
% 0.21/0.44 % (13996)------------------------------
% 0.21/0.44 % (13985)Refutation not found, incomplete strategy
% 0.21/0.44 % (13985)------------------------------
% 0.21/0.44 % (13985)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (13994)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on Vampire---4 for (2999ds/902Mi)
% 0.21/0.44 % (13985)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 % (13985)Memory used [KB]: 5628
% 0.21/0.44 % (13985)Time elapsed: 0.015 s
% 0.21/0.44 % (13985)Instructions burned: 12 (million)
% 0.21/0.44 % (13985)------------------------------
% 0.21/0.44 % (13985)------------------------------
% 0.21/0.45 % (13997)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.21/0.45 % (13997)Instruction limit reached!
% 0.21/0.45 % (13997)------------------------------
% 0.21/0.45 % (13997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (13998)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.21/0.45 % (13997)Termination reason: Unknown
% 0.21/0.45 % (13997)Termination phase: Property scanning
% 0.21/0.45
% 0.21/0.45 % (13997)Memory used [KB]: 1151
% 0.21/0.45 % (13997)Time elapsed: 0.007 s
% 0.21/0.45 % (13997)Instructions burned: 6 (million)
% 0.21/0.45 % (13997)------------------------------
% 0.21/0.45 % (13997)------------------------------
% 0.21/0.46 % (13994)Refutation not found, incomplete strategy
% 0.21/0.46 % (13994)------------------------------
% 0.21/0.46 % (13994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (13994)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 % (13994)Memory used [KB]: 5628
% 0.21/0.46 % (13994)Time elapsed: 0.013 s
% 0.21/0.46 % (13994)Instructions burned: 12 (million)
% 0.21/0.46 % (13994)------------------------------
% 0.21/0.46 % (13994)------------------------------
% 0.21/0.46 % (13995)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2999ds/21Mi)
% 0.21/0.47 % (13999)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on Vampire---4 for (2999ds/779Mi)
% 0.21/0.47 % (14001)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (2999ds/19Mi)
% 0.21/0.48 % (13995)Instruction limit reached!
% 0.21/0.48 % (13995)------------------------------
% 0.21/0.48 % (13995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (13995)Termination reason: Unknown
% 0.21/0.48 % (13995)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (13995)Memory used [KB]: 5756
% 0.21/0.48 % (13995)Time elapsed: 0.021 s
% 0.21/0.48 % (13995)Instructions burned: 21 (million)
% 0.21/0.48 % (13995)------------------------------
% 0.21/0.48 % (13995)------------------------------
% 0.21/0.48 % (14003)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.21/0.48 % (14001)Refutation not found, incomplete strategy
% 0.21/0.48 % (14001)------------------------------
% 0.21/0.48 % (14001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (14001)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.48
% 0.21/0.48
% 0.21/0.48 % (14001)Memory used [KB]: 5756
% 0.21/0.48 % (14001)Time elapsed: 0.016 s
% 0.21/0.48 % (14001)Instructions burned: 14 (million)
% 0.21/0.48 % (14001)------------------------------
% 0.21/0.48 % (14001)------------------------------
% 0.21/0.49 % (14003)Instruction limit reached!
% 0.21/0.49 % (14003)------------------------------
% 0.21/0.49 % (14003)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (14003)Termination reason: Unknown
% 0.21/0.49 % (14003)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (14003)Memory used [KB]: 5628
% 0.21/0.49 % (14003)Time elapsed: 0.010 s
% 0.21/0.49 % (14003)Instructions burned: 17 (million)
% 0.21/0.49 % (14003)------------------------------
% 0.21/0.49 % (14003)------------------------------
% 0.21/0.49 % (14002)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.21/0.50 % (14006)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.21/0.50 % (14009)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.21/0.50 % (14006)Instruction limit reached!
% 0.21/0.50 % (14006)------------------------------
% 0.21/0.50 % (14006)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (14006)Termination reason: Unknown
% 0.21/0.50 % (14006)Termination phase: shuffling
% 0.21/0.50
% 0.21/0.50 % (14006)Memory used [KB]: 1151
% 0.21/0.50 % (14006)Time elapsed: 0.004 s
% 0.21/0.50 % (14006)Instructions burned: 4 (million)
% 0.21/0.50 % (14006)------------------------------
% 0.21/0.50 % (14006)------------------------------
% 0.21/0.50 % (14008)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.21/0.51 % (13963)Instruction limit reached!
% 0.21/0.51 % (13963)------------------------------
% 0.21/0.51 % (13963)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (13963)Termination reason: Unknown
% 0.21/0.51 % (13963)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (13963)Memory used [KB]: 7164
% 0.21/0.51 % (13963)Time elapsed: 0.129 s
% 0.21/0.51 % (13963)Instructions burned: 183 (million)
% 0.21/0.51 % (13963)------------------------------
% 0.21/0.51 % (13963)------------------------------
% 0.21/0.52 % (14008)Instruction limit reached!
% 0.21/0.52 % (14008)------------------------------
% 0.21/0.52 % (14008)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52 % (14008)Termination reason: Unknown
% 0.21/0.52 % (14008)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (14008)Memory used [KB]: 5756
% 0.21/0.52 % (14008)Time elapsed: 0.016 s
% 0.21/0.52 % (14008)Instructions burned: 30 (million)
% 0.21/0.52 % (14008)------------------------------
% 0.21/0.52 % (14008)------------------------------
% 0.21/0.52 % (14010)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 0.21/0.53 % (14011)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.21/0.53 % (14011)Instruction limit reached!
% 0.21/0.53 % (14011)------------------------------
% 0.21/0.53 % (14011)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.53 % (14011)Termination reason: Unknown
% 0.21/0.53 % (14011)Termination phase: shuffling
% 0.21/0.53
% 0.21/0.53 % (14011)Memory used [KB]: 1151
% 0.21/0.53 % (14011)Time elapsed: 0.003 s
% 0.21/0.53 % (14011)Instructions burned: 4 (million)
% 0.21/0.53 % (14011)------------------------------
% 0.21/0.53 % (14011)------------------------------
% 0.21/0.54 % (14012)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on Vampire---4 for (2998ds/20Mi)
% 0.21/0.55 % (14012)Refutation not found, incomplete strategy
% 0.21/0.55 % (14012)------------------------------
% 0.21/0.55 % (14012)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.55 % (14012)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55
% 0.21/0.55 % (14012)Memory used [KB]: 5756
% 0.21/0.55 % (14012)Time elapsed: 0.011 s
% 0.21/0.55 % (14012)Instructions burned: 16 (million)
% 0.21/0.55 % (14012)------------------------------
% 0.21/0.55 % (14012)------------------------------
% 0.21/0.55 % (14013)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (2998ds/86Mi)
% 0.21/0.56 % (14014)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on Vampire---4 for (2998ds/107Mi)
% 0.21/0.57 % (14009)Instruction limit reached!
% 0.21/0.57 % (14009)------------------------------
% 0.21/0.57 % (14009)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.57 % (14009)Termination reason: Unknown
% 0.21/0.57 % (14009)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (14009)Memory used [KB]: 6140
% 0.21/0.57 % (14009)Time elapsed: 0.071 s
% 0.21/0.57 % (14009)Instructions burned: 127 (million)
% 0.21/0.57 % (14009)------------------------------
% 0.21/0.57 % (14009)------------------------------
% 0.21/0.57 % (14010)Instruction limit reached!
% 0.21/0.57 % (14010)------------------------------
% 0.21/0.57 % (14010)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.57 % (14010)Termination reason: Unknown
% 0.21/0.57 % (14010)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (14010)Memory used [KB]: 6140
% 0.21/0.57 % (14010)Time elapsed: 0.056 s
% 0.21/0.57 % (14010)Instructions burned: 100 (million)
% 0.21/0.57 % (14010)------------------------------
% 0.21/0.57 % (14010)------------------------------
% 0.21/0.59 % (14015)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on Vampire---4 for (2997ds/39Mi)
% 0.21/0.59 % (14016)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (2997ds/448Mi)
% 0.21/0.60 % (14013)Instruction limit reached!
% 0.21/0.60 % (14013)------------------------------
% 0.21/0.60 % (14013)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.60 % (14013)Termination reason: Unknown
% 0.21/0.60 % (14013)Termination phase: Saturation
% 0.21/0.60
% 0.21/0.60 % (14013)Memory used [KB]: 6268
% 0.21/0.60 % (14013)Time elapsed: 0.049 s
% 0.21/0.60 % (14013)Instructions burned: 87 (million)
% 0.21/0.60 % (14013)------------------------------
% 0.21/0.60 % (14013)------------------------------
% 1.89/0.61 % (14015)Instruction limit reached!
% 1.89/0.61 % (14015)------------------------------
% 1.89/0.61 % (14015)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.89/0.61 % (14015)Termination reason: Unknown
% 1.89/0.61 % (14015)Termination phase: Saturation
% 1.89/0.61
% 1.89/0.61 % (14015)Memory used [KB]: 5884
% 1.89/0.61 % (14015)Time elapsed: 0.024 s
% 1.89/0.61 % (14015)Instructions burned: 40 (million)
% 1.89/0.61 % (14015)------------------------------
% 1.89/0.61 % (14015)------------------------------
% 1.89/0.61 % (14017)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on Vampire---4 for (2997ds/46Mi)
% 2.04/0.62 % (13998)Instruction limit reached!
% 2.04/0.62 % (13998)------------------------------
% 2.04/0.62 % (13998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.04/0.62 % (13998)Termination reason: Unknown
% 2.04/0.62 % (13998)Termination phase: Saturation
% 2.04/0.62
% 2.04/0.62 % (13998)Memory used [KB]: 7036
% 2.04/0.62 % (13998)Time elapsed: 0.159 s
% 2.04/0.62 % (13998)Instructions burned: 379 (million)
% 2.04/0.62 % (13998)------------------------------
% 2.04/0.62 % (13998)------------------------------
% 2.04/0.62 % (14014)Instruction limit reached!
% 2.04/0.62 % (14014)------------------------------
% 2.04/0.62 % (14014)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.04/0.62 % (14014)Termination reason: Unknown
% 2.04/0.62 % (14014)Termination phase: Saturation
% 2.04/0.62
% 2.04/0.62 % (14014)Memory used [KB]: 6140
% 2.04/0.62 % (14014)Time elapsed: 0.062 s
% 2.04/0.62 % (14014)Instructions burned: 108 (million)
% 2.04/0.62 % (14014)------------------------------
% 2.04/0.62 % (14014)------------------------------
% 2.04/0.62 % (14018)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on Vampire---4 for (2997ds/98Mi)
% 2.04/0.63 % (14019)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on Vampire---4 for (2997ds/507Mi)
% 2.15/0.63 % (14019)Refutation not found, incomplete strategy
% 2.15/0.63 % (14019)------------------------------
% 2.15/0.63 % (14019)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.63 % (14019)Termination reason: Refutation not found, incomplete strategy
% 2.15/0.63
% 2.15/0.63
% 2.15/0.63 % (14019)Memory used [KB]: 5756
% 2.15/0.63 % (14019)Time elapsed: 0.007 s
% 2.15/0.63 % (14019)Instructions burned: 19 (million)
% 2.15/0.63 % (14019)------------------------------
% 2.15/0.63 % (14019)------------------------------
% 2.15/0.64 % (14020)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on Vampire---4 for (2997ds/149Mi)
% 2.15/0.64 % (14017)Instruction limit reached!
% 2.15/0.64 % (14017)------------------------------
% 2.15/0.64 % (14017)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.64 % (14017)Termination reason: Unknown
% 2.15/0.64 % (14017)Termination phase: Saturation
% 2.15/0.64
% 2.15/0.64 % (14017)Memory used [KB]: 5884
% 2.15/0.64 % (14017)Time elapsed: 0.029 s
% 2.15/0.64 % (14017)Instructions burned: 47 (million)
% 2.15/0.64 % (14017)------------------------------
% 2.15/0.64 % (14017)------------------------------
% 2.15/0.64 % (14021)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2997ds/39Mi)
% 2.15/0.66 % (14021)Instruction limit reached!
% 2.15/0.66 % (14021)------------------------------
% 2.15/0.66 % (14021)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.66 % (14021)Termination reason: Unknown
% 2.15/0.66 % (14021)Termination phase: Saturation
% 2.15/0.66
% 2.15/0.66 % (14021)Memory used [KB]: 5884
% 2.15/0.66 % (14021)Time elapsed: 0.013 s
% 2.15/0.66 % (14021)Instructions burned: 40 (million)
% 2.15/0.66 % (14021)------------------------------
% 2.15/0.66 % (14021)------------------------------
% 2.15/0.66 % (14022)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2997ds/6Mi)
% 2.15/0.66 % (14022)Instruction limit reached!
% 2.15/0.66 % (14022)------------------------------
% 2.15/0.66 % (14022)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.66 % (14022)Termination reason: Unknown
% 2.15/0.66 % (14022)Termination phase: Property scanning
% 2.15/0.66
% 2.15/0.66 % (14022)Memory used [KB]: 1151
% 2.15/0.66 % (14022)Time elapsed: 0.005 s
% 2.15/0.66 % (14022)Instructions burned: 6 (million)
% 2.15/0.66 % (14022)------------------------------
% 2.15/0.66 % (14022)------------------------------
% 2.15/0.66 % (14023)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on Vampire---4 for (2997ds/1087Mi)
% 2.15/0.67 % (14023)Refutation not found, incomplete strategy
% 2.15/0.67 % (14023)------------------------------
% 2.15/0.67 % (14023)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.67 % (14023)Termination reason: Refutation not found, incomplete strategy
% 2.15/0.67
% 2.15/0.67
% 2.15/0.67 % (14023)Memory used [KB]: 5628
% 2.15/0.67 % (14023)Time elapsed: 0.005 s
% 2.15/0.67 % (14023)Instructions burned: 12 (million)
% 2.15/0.67 % (14023)------------------------------
% 2.15/0.67 % (14023)------------------------------
% 2.15/0.67 % (14024)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (2997ds/47Mi)
% 2.15/0.68 % (14018)Instruction limit reached!
% 2.15/0.68 % (14018)------------------------------
% 2.15/0.68 % (14018)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.68 % (14018)Termination reason: Unknown
% 2.15/0.68 % (14018)Termination phase: Saturation
% 2.15/0.68
% 2.15/0.68 % (14018)Memory used [KB]: 1535
% 2.15/0.68 % (14018)Time elapsed: 0.054 s
% 2.15/0.68 % (14018)Instructions burned: 99 (million)
% 2.15/0.68 % (14018)------------------------------
% 2.15/0.68 % (14018)------------------------------
% 2.15/0.68 % (14025)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (2997ds/44Mi)
% 2.15/0.69 % (14025)Instruction limit reached!
% 2.15/0.69 % (14025)------------------------------
% 2.15/0.69 % (14025)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.69 % (14025)Termination reason: Unknown
% 2.15/0.69 % (14025)Termination phase: Saturation
% 2.15/0.69
% 2.15/0.69 % (14025)Memory used [KB]: 1279
% 2.15/0.69 % (14025)Time elapsed: 0.015 s
% 2.15/0.69 % (14025)Instructions burned: 46 (million)
% 2.15/0.69 % (14025)------------------------------
% 2.15/0.69 % (14025)------------------------------
% 2.15/0.69 % (14026)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on Vampire---4 for (2996ds/432Mi)
% 2.15/0.70 % (14024)Instruction limit reached!
% 2.15/0.70 % (14024)------------------------------
% 2.15/0.70 % (14024)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.70 % (14024)Termination reason: Unknown
% 2.15/0.70 % (14024)Termination phase: Saturation
% 2.15/0.70
% 2.15/0.70 % (14024)Memory used [KB]: 5756
% 2.15/0.70 % (14024)Time elapsed: 0.025 s
% 2.15/0.70 % (14024)Instructions burned: 48 (million)
% 2.15/0.70 % (14024)------------------------------
% 2.15/0.70 % (14024)------------------------------
% 2.15/0.70 % (14027)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (2996ds/62Mi)
% 2.71/0.72 % (14028)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on Vampire---4 for (2996ds/31Mi)
% 2.71/0.72 % (14027)Instruction limit reached!
% 2.71/0.72 % (14027)------------------------------
% 2.71/0.72 % (14027)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.71/0.72 % (14027)Termination reason: Unknown
% 2.71/0.72 % (14027)Termination phase: Saturation
% 2.71/0.72
% 2.71/0.72 % (14027)Memory used [KB]: 6012
% 2.71/0.72 % (14027)Time elapsed: 0.022 s
% 2.71/0.72 % (14027)Instructions burned: 62 (million)
% 2.71/0.72 % (14027)------------------------------
% 2.71/0.72 % (14027)------------------------------
% 2.71/0.72 % (14020)Instruction limit reached!
% 2.71/0.72 % (14020)------------------------------
% 2.71/0.72 % (14020)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.71/0.72 % (14020)Termination reason: Unknown
% 2.71/0.72 % (14020)Termination phase: Saturation
% 2.71/0.72
% 2.71/0.72 % (14020)Memory used [KB]: 6268
% 2.71/0.72 % (14020)Time elapsed: 0.085 s
% 2.71/0.72 % (14020)Instructions burned: 149 (million)
% 2.71/0.72 % (14020)------------------------------
% 2.71/0.72 % (14020)------------------------------
% 2.71/0.73 % (14029)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (2996ds/96Mi)
% 2.71/0.73 % (14028)Instruction limit reached!
% 2.71/0.73 % (14028)------------------------------
% 2.71/0.73 % (14028)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.71/0.73 % (14028)Termination reason: Unknown
% 2.71/0.73 % (14028)Termination phase: Saturation
% 2.71/0.73
% 2.71/0.73 % (14028)Memory used [KB]: 5756
% 2.71/0.73 % (14028)Time elapsed: 0.016 s
% 2.71/0.73 % (14028)Instructions burned: 31 (million)
% 2.71/0.73 % (14028)------------------------------
% 2.71/0.73 % (14028)------------------------------
% 2.71/0.74 % (14030)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on Vampire---4 for (2996ds/453Mi)
% 2.71/0.75 % (14031)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (2996ds/71Mi)
% 2.71/0.76 % (14029)Instruction limit reached!
% 2.71/0.76 % (14029)------------------------------
% 2.71/0.76 % (14029)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.71/0.76 % (14029)Termination reason: Unknown
% 2.71/0.76 % (14029)Termination phase: Saturation
% 2.71/0.76
% 2.71/0.76 % (14029)Memory used [KB]: 6268
% 2.71/0.76 % (14029)Time elapsed: 0.036 s
% 2.71/0.76 % (14029)Instructions burned: 97 (million)
% 2.71/0.76 % (14029)------------------------------
% 2.71/0.76 % (14029)------------------------------
% 2.71/0.77 % (13974)First to succeed.
% 2.71/0.77 % (14032)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on Vampire---4 for (2996ds/83Mi)
% 3.14/0.78 % (13974)Refutation found. Thanks to Tanya!
% 3.14/0.78 % SZS status Theorem for Vampire---4
% 3.14/0.78 % SZS output start Proof for Vampire---4
% 3.14/0.78 thf(type_def_5, type, mu: $tType).
% 3.14/0.78 thf(type_def_7, type, reg: $tType).
% 3.14/0.78 thf(func_def_0, type, mu: $tType).
% 3.14/0.78 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 3.14/0.78 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 3.14/0.78 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 3.14/0.78 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 3.14/0.78 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 3.14/0.78 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 3.14/0.78 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 3.14/0.78 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 3.14/0.78 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 3.14/0.78 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 3.14/0.78 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 3.14/0.78 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 3.14/0.78 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 3.14/0.78 thf(func_def_15, type, mtrue: $i > $o).
% 3.14/0.78 thf(func_def_16, type, mfalse: $i > $o).
% 3.14/0.78 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 3.14/0.78 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 3.14/0.78 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 3.14/0.78 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 3.14/0.78 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 3.14/0.78 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 3.14/0.78 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 3.14/0.78 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 3.14/0.78 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 3.14/0.78 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 3.14/0.78 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 3.14/0.78 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 3.14/0.78 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 3.14/0.78 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 3.14/0.78 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 3.14/0.78 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 3.14/0.78 thf(func_def_33, type, reg: $tType).
% 3.14/0.78 thf(func_def_34, type, c: reg > reg > $o).
% 3.14/0.78 thf(func_def_35, type, dc: reg > reg > $o).
% 3.14/0.78 thf(func_def_36, type, p: reg > reg > $o).
% 3.14/0.78 thf(func_def_37, type, eq: reg > reg > $o).
% 3.14/0.78 thf(func_def_38, type, o: reg > reg > $o).
% 3.14/0.78 thf(func_def_39, type, po: reg > reg > $o).
% 3.14/0.78 thf(func_def_40, type, ec: reg > reg > $o).
% 3.14/0.78 thf(func_def_41, type, pp: reg > reg > $o).
% 3.14/0.78 thf(func_def_42, type, tpp: reg > reg > $o).
% 3.14/0.78 thf(func_def_43, type, ntpp: reg > reg > $o).
% 3.14/0.78 thf(func_def_44, type, catalunya: reg).
% 3.14/0.78 thf(func_def_45, type, france: reg).
% 3.14/0.78 thf(func_def_46, type, spain: reg).
% 3.14/0.78 thf(func_def_47, type, paris: reg).
% 3.14/0.78 thf(func_def_48, type, a: $i > $i > $o).
% 3.14/0.78 thf(func_def_49, type, fool: $i > $i > $o).
% 3.14/0.78 thf(func_def_66, type, ph1: !>[X0: $tType]:(X0)).
% 3.14/0.78 thf(func_def_70, type, sK5: reg).
% 3.14/0.78 thf(func_def_71, type, sK6: reg).
% 3.14/0.78 thf(func_def_72, type, sK7: reg).
% 3.14/0.78 thf(func_def_73, type, sK8: reg).
% 3.14/0.78 thf(func_def_74, type, sK9: reg).
% 3.14/0.78 thf(func_def_75, type, sK10: reg).
% 3.14/0.78 thf(func_def_76, type, sK11: reg).
% 3.14/0.78 thf(func_def_77, type, sK12: reg).
% 3.14/0.78 thf(func_def_78, type, sK13: reg).
% 3.14/0.78 thf(func_def_79, type, sK14: reg).
% 3.14/0.78 thf(func_def_80, type, sK15: reg).
% 3.14/0.78 thf(func_def_81, type, sK16: reg).
% 3.14/0.78 thf(func_def_82, type, sK17: reg).
% 3.14/0.78 thf(func_def_83, type, sK18: reg).
% 3.14/0.78 thf(func_def_84, type, sK19: reg).
% 3.14/0.78 thf(func_def_85, type, sK20: reg).
% 3.14/0.78 thf(func_def_86, type, sK21: reg).
% 3.14/0.78 thf(func_def_87, type, sK22: reg).
% 3.14/0.78 thf(func_def_88, type, sK23: reg).
% 3.14/0.78 thf(func_def_89, type, sK24: $i > ($i > $o) > $i).
% 3.14/0.78 thf(func_def_90, type, sK25: reg).
% 3.14/0.78 thf(func_def_91, type, sK26: reg).
% 3.14/0.78 thf(func_def_92, type, sK27: reg).
% 3.14/0.78 thf(func_def_93, type, sK28: reg).
% 3.14/0.78 thf(func_def_94, type, sK29: reg).
% 3.14/0.78 thf(func_def_95, type, sK30: reg).
% 3.14/0.78 thf(f5819,plain,(
% 3.14/0.78 $false),
% 3.14/0.78 inference(avatar_sat_refutation,[],[f253,f283,f878,f2381,f3983,f3999,f5007,f5799,f5817])).
% 3.14/0.78 thf(f5817,plain,(
% 3.14/0.78 spl0_50 | ~spl0_12 | ~spl0_55),
% 3.14/0.78 inference(avatar_split_clause,[],[f5808,f4998,f876,f4688])).
% 3.14/0.78 thf(f4688,plain,(
% 3.14/0.78 spl0_50 <=> ((c @ sK28 @ france) = $false)),
% 3.14/0.78 introduced(avatar_definition,[new_symbols(naming,[spl0_50])])).
% 3.14/0.78 thf(f876,plain,(
% 3.14/0.78 spl0_12 <=> ($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))))),
% 3.14/0.78 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
% 3.14/0.78 thf(f4998,plain,(
% 3.14/0.78 spl0_55 <=> ($true = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))))),
% 3.14/0.78 introduced(avatar_definition,[new_symbols(naming,[spl0_55])])).
% 3.14/0.78 thf(f5808,plain,(
% 3.14/0.78 ((c @ sK28 @ france) = $false) | (~spl0_12 | ~spl0_55)),
% 3.14/0.78 inference(trivial_inequality_removal,[],[f5807])).
% 3.14/0.78 thf(f5807,plain,(
% 3.14/0.78 ((c @ sK28 @ france) = $false) | ($true = $false) | (~spl0_12 | ~spl0_55)),
% 3.14/0.78 inference(boolean_simplification,[],[f5802])).
% 3.14/0.78 thf(f5802,plain,(
% 3.14/0.78 ((c @ sK28 @ france) = $false) | (((c @ sK28 @ sK13) => $true) = $false) | (~spl0_12 | ~spl0_55)),
% 3.14/0.78 inference(superposition,[],[f5762,f480])).
% 3.14/0.78 thf(f480,plain,(
% 3.14/0.78 ( ! [X0 : reg,X1 : reg] : (((c @ X1 @ X0) = $true) | ((c @ X1 @ X0) = $false)) )),
% 3.14/0.78 inference(boolean_simplification,[],[f468])).
% 3.14/0.78 thf(f468,plain,(
% 3.14/0.78 ( ! [X0 : reg,X1 : reg] : (($true = ($true => (c @ X1 @ X0))) | ((c @ X1 @ X0) = $false)) )),
% 3.14/0.78 inference(superposition,[],[f219,f220])).
% 3.14/0.78 thf(f220,plain,(
% 3.14/0.78 ( ! [X2 : reg,X1 : reg] : (($true = (c @ X2 @ X1)) | ((c @ X1 @ X2) = $false)) )),
% 3.14/0.78 inference(binary_proxy_clausification,[],[f219])).
% 3.14/0.78 thf(f219,plain,(
% 3.14/0.78 ( ! [X2 : reg,X1 : reg] : (($true = ((c @ X1 @ X2) => (c @ X2 @ X1)))) )),
% 3.14/0.78 inference(beta_eta_normalization,[],[f218])).
% 3.14/0.78 thf(f218,plain,(
% 3.14/0.78 ( ! [X2 : reg,X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ X1 @ Y0) => (c @ Y0 @ X1))) @ X2))) )),
% 3.14/0.78 inference(pi_clausification,[],[f217])).
% 3.14/0.78 thf(f217,plain,(
% 3.14/0.78 ( ! [X1 : reg] : (((!! @ reg @ (^[Y0 : reg]: ((c @ X1 @ Y0) => (c @ Y0 @ X1)))) = $true)) )),
% 3.14/0.78 inference(beta_eta_normalization,[],[f216])).
% 3.14/0.78 thf(f216,plain,(
% 3.14/0.78 ( ! [X1 : reg] : ((((^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y0 @ Y1) => (c @ Y1 @ Y0))))) @ X1) = $true)) )),
% 3.14/0.78 inference(pi_clausification,[],[f143])).
% 3.14/0.78 thf(f143,plain,(
% 3.14/0.78 ((!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y0 @ Y1) => (c @ Y1 @ Y0)))))) = $true)),
% 3.14/0.78 inference(cnf_transformation,[],[f60])).
% 3.14/0.78 thf(f60,plain,(
% 3.14/0.78 ((!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y0 @ Y1) => (c @ Y1 @ Y0)))))) = $true)),
% 3.14/0.78 inference(fool_elimination,[],[f59])).
% 3.14/0.78 thf(f59,plain,(
% 3.14/0.78 ! [X0 : reg,X1 : reg] : ((c @ X1 @ X0) => (c @ X0 @ X1))),
% 3.14/0.78 inference(rectify,[],[f33])).
% 3.14/0.78 thf(f33,axiom,(
% 3.14/0.78 ! [X1 : reg,X0 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',c_symmetric)).
% 3.14/0.78 thf(f5762,plain,(
% 3.14/0.78 ($false = ((c @ sK28 @ sK13) => (c @ sK28 @ france))) | (~spl0_12 | ~spl0_55)),
% 3.14/0.78 inference(beta_eta_normalization,[],[f5760])).
% 3.14/0.78 thf(f5760,plain,(
% 3.14/0.78 (((^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ france))) @ sK28) = $false) | (~spl0_12 | ~spl0_55)),
% 3.14/0.78 inference(sigma_clausification,[],[f5097])).
% 3.14/0.78 thf(f5097,plain,(
% 3.14/0.78 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ france)))) = $false) | (~spl0_12 | ~spl0_55)),
% 3.14/0.78 inference(boolean_simplification,[],[f5095])).
% 3.14/0.78 thf(f5095,plain,(
% 3.14/0.78 (($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ france))))) = $false) | (~spl0_12 | ~spl0_55)),
% 3.14/0.78 inference(superposition,[],[f5064,f4370])).
% 3.14/0.78 thf(f4370,plain,(
% 3.14/0.78 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ spain)))) = $true) | ~spl0_12),
% 3.14/0.78 inference(boolean_simplification,[],[f4369])).
% 3.14/0.78 thf(f4369,plain,(
% 3.14/0.78 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ spain)))) & $true)) | ~spl0_12),
% 3.14/0.78 inference(backward_demodulation,[],[f4359,f4367])).
% 3.14/0.78 thf(f4367,plain,(
% 3.14/0.78 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ paris))))) | ~spl0_12),
% 3.14/0.78 inference(binary_proxy_clausification,[],[f4359])).
% 3.14/0.78 thf(f4359,plain,(
% 3.14/0.78 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ paris)))))) | ~spl0_12),
% 3.14/0.78 inference(beta_eta_normalization,[],[f4357])).
% 3.14/0.78 thf(f4357,plain,(
% 3.14/0.78 ($true = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))) @ sK13)) | ~spl0_12),
% 3.14/0.78 inference(sigma_clausification,[],[f4335])).
% 3.14/0.78 thf(f4335,plain,(
% 3.14/0.78 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) = $true) | ~spl0_12),
% 3.14/0.78 inference(not_proxy_clausification,[],[f877])).
% 3.14/0.78 thf(f877,plain,(
% 3.14/0.78 ($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) | ~spl0_12),
% 3.14/0.78 inference(avatar_component_clause,[],[f876])).
% 3.14/0.78 thf(f5064,plain,(
% 3.14/0.78 ( ! [X1 : reg] : (($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france))))))) ) | ~spl0_55),
% 3.14/0.78 inference(beta_eta_normalization,[],[f5062])).
% 3.14/0.78 thf(f5062,plain,(
% 3.14/0.78 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) @ X1) = $false)) ) | ~spl0_55),
% 3.14/0.78 inference(pi_clausification,[],[f5044])).
% 3.14/0.78 thf(f5044,plain,(
% 3.14/0.78 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) = $false) | ~spl0_55),
% 3.14/0.78 inference(not_proxy_clausification,[],[f4999])).
% 3.14/0.78 thf(f4999,plain,(
% 3.14/0.78 ($true = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))) | ~spl0_55),
% 3.14/0.78 inference(avatar_component_clause,[],[f4998])).
% 3.14/0.78 thf(f5799,plain,(
% 3.14/0.78 ~spl0_12 | ~spl0_50 | ~spl0_55),
% 3.14/0.78 inference(avatar_contradiction_clause,[],[f5798])).
% 3.14/0.78 thf(f5798,plain,(
% 3.14/0.78 $false | (~spl0_12 | ~spl0_50 | ~spl0_55)),
% 3.14/0.78 inference(trivial_inequality_removal,[],[f5797])).
% 3.14/0.78 thf(f5797,plain,(
% 3.14/0.78 ($true = $false) | (~spl0_12 | ~spl0_50 | ~spl0_55)),
% 3.14/0.78 inference(boolean_simplification,[],[f5796])).
% 3.14/0.78 thf(f5796,plain,(
% 3.14/0.78 ((~ $true) = $true) | (~spl0_12 | ~spl0_50 | ~spl0_55)),
% 3.14/0.78 inference(backward_demodulation,[],[f4924,f5793])).
% 3.14/0.78 thf(f5793,plain,(
% 3.14/0.78 ($true = (c @ sK28 @ paris)) | (~spl0_12 | ~spl0_50 | ~spl0_55)),
% 3.14/0.78 inference(boolean_simplification,[],[f5788])).
% 3.14/0.78 thf(f5788,plain,(
% 3.14/0.78 ($true = ($true => (c @ sK28 @ paris))) | (~spl0_12 | ~spl0_50 | ~spl0_55)),
% 3.14/0.78 inference(superposition,[],[f4528,f5781])).
% 3.14/0.78 thf(f5781,plain,(
% 3.14/0.78 ($true = (c @ sK28 @ sK13)) | (~spl0_12 | ~spl0_50 | ~spl0_55)),
% 3.14/0.78 inference(not_proxy_clausification,[],[f5765])).
% 3.14/0.78 thf(f5765,plain,(
% 3.14/0.78 ((~ (c @ sK28 @ sK13)) = $false) | (~spl0_12 | ~spl0_50 | ~spl0_55)),
% 3.14/0.78 inference(boolean_simplification,[],[f5764])).
% 3.14/0.78 thf(f5764,plain,(
% 3.14/0.78 (((c @ sK28 @ sK13) => $false) = $false) | (~spl0_12 | ~spl0_50 | ~spl0_55)),
% 3.14/0.78 inference(forward_demodulation,[],[f5762,f4689])).
% 3.14/0.78 thf(f4689,plain,(
% 3.14/0.78 ((c @ sK28 @ france) = $false) | ~spl0_50),
% 3.14/0.78 inference(avatar_component_clause,[],[f4688])).
% 3.14/0.78 thf(f4528,plain,(
% 3.14/0.78 ( ! [X1 : reg] : (($true = ((c @ X1 @ sK13) => (c @ X1 @ paris)))) ) | ~spl0_12),
% 3.14/0.78 inference(beta_eta_normalization,[],[f4527])).
% 3.14/0.78 thf(f4527,plain,(
% 3.14/0.78 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ paris))) @ X1) = $true)) ) | ~spl0_12),
% 3.14/0.78 inference(pi_clausification,[],[f4367])).
% 3.14/0.78 thf(f4924,plain,(
% 3.14/0.78 ($true = (~ (c @ sK28 @ paris))) | ~spl0_50),
% 3.14/0.78 inference(boolean_simplification,[],[f4910])).
% 3.14/0.78 thf(f4910,plain,(
% 3.14/0.78 (((c @ sK28 @ paris) => $false) = $true) | ~spl0_50),
% 3.14/0.78 inference(superposition,[],[f445,f4689])).
% 3.14/0.78 thf(f445,plain,(
% 3.14/0.78 ( ! [X1 : reg] : (($true = ((c @ X1 @ paris) => (c @ X1 @ france)))) )),
% 3.14/0.78 inference(beta_eta_normalization,[],[f444])).
% 3.14/0.78 thf(f444,plain,(
% 3.14/0.78 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X1))) )),
% 3.14/0.78 inference(pi_clausification,[],[f407])).
% 3.14/0.78 thf(f407,plain,(
% 3.14/0.78 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) = $true)),
% 3.14/0.78 inference(binary_proxy_clausification,[],[f399])).
% 3.14/0.78 thf(f399,plain,(
% 3.14/0.78 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) = $true)),
% 3.14/0.78 inference(boolean_simplification,[],[f398])).
% 3.14/0.78 thf(f398,plain,(
% 3.14/0.78 ($true = (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & $true))),
% 3.14/0.78 inference(backward_demodulation,[],[f324,f396])).
% 3.14/0.78 thf(f396,plain,(
% 3.14/0.78 ($true = (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)))))))),
% 3.14/0.78 inference(binary_proxy_clausification,[],[f324])).
% 3.14/0.78 thf(f324,plain,(
% 3.14/0.78 ($true = (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris))))))))),
% 3.14/0.78 inference(boolean_simplification,[],[f323])).
% 3.14/0.78 thf(f323,plain,(
% 3.14/0.78 ($true = ($false | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)))))))))),
% 3.14/0.78 inference(boolean_simplification,[],[f319])).
% 3.14/0.78 thf(f319,plain,(
% 3.14/0.78 ($true = ((~ $true) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)))))))))),
% 3.14/0.78 inference(superposition,[],[f313,f238])).
% 3.14/0.78 thf(f238,plain,(
% 3.14/0.78 ($true = (a @ sK2 @ sK3))),
% 3.14/0.78 inference(not_proxy_clausification,[],[f233])).
% 3.14/0.78 thf(f233,plain,(
% 3.14/0.78 ((~ (a @ sK2 @ sK3)) = $false)),
% 3.14/0.78 inference(binary_proxy_clausification,[],[f231])).
% 3.14/0.78 thf(f231,plain,(
% 3.14/0.78 (((~ (a @ sK2 @ sK3)) | ((~ (c @ catalunya @ paris)) & (~ (c @ spain @ paris)))) = $false)),
% 3.14/0.78 inference(beta_eta_normalization,[],[f230])).
% 3.14/0.78 thf(f230,plain,(
% 3.14/0.78 (((^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | ((~ (c @ catalunya @ paris)) & (~ (c @ spain @ paris))))) @ sK3) = $false)),
% 3.14/0.78 inference(sigma_clausification,[],[f229])).
% 3.14/0.78 thf(f229,plain,(
% 3.14/0.78 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | ((~ (c @ catalunya @ paris)) & (~ (c @ spain @ paris)))))))),
% 3.14/0.78 inference(beta_eta_normalization,[],[f228])).
% 3.14/0.78 thf(f228,plain,(
% 3.14/0.78 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (c @ catalunya @ paris)) & (~ (c @ spain @ paris))))))) @ sK2) = $false)),
% 3.14/0.78 inference(sigma_clausification,[],[f225])).
% 3.14/0.78 thf(f225,plain,(
% 3.14/0.78 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (c @ catalunya @ paris)) & (~ (c @ spain @ paris)))))))) = $false)),
% 3.14/0.78 inference(not_proxy_clausification,[],[f213])).
% 3.14/0.78 thf(f213,plain,(
% 3.14/0.78 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (c @ catalunya @ paris)) & (~ (c @ spain @ paris))))))))) = $true)),
% 3.14/0.78 inference(beta_eta_normalization,[],[f207])).
% 3.14/0.78 thf(f207,plain,(
% 3.14/0.78 ($true = (~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: (((^[Y1 : reg]: ((^[Y2 : reg]: (~ (c @ Y1 @ Y2))))) @ catalunya @ paris) & ((^[Y1 : reg]: ((^[Y2 : reg]: (~ (c @ Y1 @ Y2))))) @ spain @ paris)))))))),
% 3.14/0.78 inference(definition_unfolding,[],[f176,f186,f181,f177,f177])).
% 3.14/0.78 thf(f177,plain,(
% 3.14/0.78 (dc = (^[Y0 : reg]: ((^[Y1 : reg]: (~ (c @ Y0 @ Y1))))))),
% 3.14/0.78 inference(cnf_transformation,[],[f70])).
% 3.14/0.78 thf(f70,plain,(
% 3.14/0.78 (dc = (^[Y0 : reg]: ((^[Y1 : reg]: (~ (c @ Y0 @ Y1))))))),
% 3.14/0.78 inference(fool_elimination,[],[f69])).
% 3.14/0.78 thf(f69,plain,(
% 3.14/0.78 (dc = (^[X0 : reg, X1 : reg] : (~(c @ X0 @ X1))))),
% 3.14/0.78 inference(rectify,[],[f34])).
% 3.14/0.78 thf(f34,axiom,(
% 3.14/0.78 (dc = (^[X0 : reg, X1 : reg] : (~(c @ X0 @ X1))))),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',dc)).
% 3.14/0.78 thf(f181,plain,(
% 3.14/0.78 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 3.14/0.78 inference(cnf_transformation,[],[f132])).
% 3.14/0.78 thf(f132,plain,(
% 3.14/0.78 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 3.14/0.78 inference(fool_elimination,[],[f131])).
% 3.14/0.78 thf(f131,plain,(
% 3.14/0.78 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))))),
% 3.14/0.78 inference(rectify,[],[f16])).
% 3.14/0.78 thf(f16,axiom,(
% 3.14/0.78 (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))))),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',mbox)).
% 3.14/0.78 thf(f186,plain,(
% 3.14/0.78 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 3.14/0.78 inference(cnf_transformation,[],[f96])).
% 3.14/0.78 thf(f96,plain,(
% 3.14/0.78 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 3.14/0.78 inference(fool_elimination,[],[f95])).
% 3.14/0.78 thf(f95,plain,(
% 3.14/0.78 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 3.14/0.78 inference(rectify,[],[f28])).
% 3.14/0.78 thf(f28,axiom,(
% 3.14/0.78 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',mvalid)).
% 3.14/0.78 thf(f176,plain,(
% 3.14/0.78 ($true = (~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: ((dc @ catalunya @ paris) & (dc @ spain @ paris)))))))),
% 3.14/0.78 inference(cnf_transformation,[],[f108])).
% 3.14/0.78 thf(f108,plain,(
% 3.14/0.78 ($true = (~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: ((dc @ catalunya @ paris) & (dc @ spain @ paris)))))))),
% 3.14/0.78 inference(fool_elimination,[],[f107])).
% 3.14/0.78 thf(f107,plain,(
% 3.14/0.78 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : ((dc @ spain @ paris) & (dc @ catalunya @ paris)))))),
% 3.14/0.78 inference(rectify,[],[f48])).
% 3.14/0.78 thf(f48,negated_conjecture,(
% 3.14/0.78 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : ((dc @ spain @ paris) & (dc @ catalunya @ paris)))))),
% 3.14/0.78 inference(negated_conjecture,[],[f47])).
% 3.14/0.78 thf(f47,conjecture,(
% 3.14/0.78 (mvalid @ (mbox @ a @ (^[X0 : $i] : ((dc @ spain @ paris) & (dc @ catalunya @ paris)))))),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',con)).
% 3.14/0.78 thf(f313,plain,(
% 3.14/0.78 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (a @ X1 @ X2)) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)))))))))) )),
% 3.14/0.78 inference(beta_eta_normalization,[],[f312])).
% 3.14/0.78 thf(f312,plain,(
% 3.14/0.78 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ Y1 @ france)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))) & (c @ Y1 @ paris))))))))) @ X2))) )),
% 3.14/0.78 inference(pi_clausification,[],[f307])).
% 3.14/0.78 thf(f307,plain,(
% 3.14/0.78 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ Y1 @ france)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))) & (c @ Y1 @ paris)))))))))))) )),
% 3.14/0.78 inference(beta_eta_normalization,[],[f306])).
% 3.14/0.78 thf(f306,plain,(
% 3.14/0.78 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))))))) & (c @ Y2 @ france)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))) & (c @ Y2 @ paris))))))))))) @ X1))) )),
% 3.14/0.78 inference(pi_clausification,[],[f212])).
% 3.14/0.78 thf(f212,plain,(
% 3.14/0.78 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))))))) & (c @ Y2 @ france)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))) & (c @ Y2 @ paris)))))))))))) = $true)),
% 3.14/0.78 inference(beta_eta_normalization,[],[f205])).
% 3.14/0.78 thf(f205,plain,(
% 3.14/0.78 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2) & (~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (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 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1))))))))) @ paris @ france)))) = $true)),
% 3.14/0.78 inference(definition_unfolding,[],[f155,f186,f181,f203])).
% 3.14/0.78 thf(f203,plain,(
% 3.14/0.78 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (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 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0))))))))))),
% 3.14/0.78 inference(definition_unfolding,[],[f165,f201,f200,f200])).
% 3.14/0.78 thf(f200,plain,(
% 3.14/0.78 (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 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 3.14/0.78 inference(definition_unfolding,[],[f156,f198])).
% 3.14/0.78 thf(f198,plain,(
% 3.14/0.78 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1))))))))),
% 3.14/0.78 inference(definition_unfolding,[],[f167,f153,f153])).
% 3.14/0.78 thf(f153,plain,(
% 3.14/0.78 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 3.14/0.78 inference(cnf_transformation,[],[f66])).
% 3.14/0.78 thf(f66,plain,(
% 3.14/0.78 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 3.14/0.78 inference(fool_elimination,[],[f65])).
% 3.14/0.78 thf(f65,plain,(
% 3.14/0.78 ((^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))) = p)),
% 3.14/0.78 inference(rectify,[],[f35])).
% 3.14/0.78 thf(f35,axiom,(
% 3.14/0.78 ((^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))) = p)),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',p)).
% 3.14/0.78 thf(f167,plain,(
% 3.14/0.78 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 3.14/0.78 inference(cnf_transformation,[],[f78])).
% 3.14/0.78 thf(f78,plain,(
% 3.14/0.78 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 3.14/0.78 inference(fool_elimination,[],[f77])).
% 3.14/0.78 thf(f77,plain,(
% 3.14/0.78 (o = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X1) & (p @ X2 @ X0)))))),
% 3.14/0.78 inference(rectify,[],[f37])).
% 3.14/0.78 thf(f37,axiom,(
% 3.14/0.78 (o = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X1) & (p @ X11 @ X0)))))),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',o)).
% 3.14/0.78 thf(f156,plain,(
% 3.14/0.78 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 3.14/0.78 inference(cnf_transformation,[],[f84])).
% 3.14/0.78 thf(f84,plain,(
% 3.14/0.78 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 3.14/0.78 inference(fool_elimination,[],[f83])).
% 3.14/0.78 thf(f83,plain,(
% 3.14/0.78 ((^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))) = ec)),
% 3.14/0.78 inference(rectify,[],[f39])).
% 3.14/0.78 thf(f39,axiom,(
% 3.14/0.78 ((^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))) = ec)),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',ec)).
% 3.14/0.78 thf(f201,plain,(
% 3.14/0.78 (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)))))))),
% 3.14/0.78 inference(definition_unfolding,[],[f157,f153,f153])).
% 3.14/0.78 thf(f157,plain,(
% 3.14/0.78 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 3.14/0.78 inference(cnf_transformation,[],[f55])).
% 3.14/0.78 thf(f55,plain,(
% 3.14/0.78 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 3.14/0.78 inference(fool_elimination,[],[f54])).
% 3.14/0.78 thf(f54,plain,(
% 3.14/0.78 (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))),
% 3.14/0.78 inference(rectify,[],[f40])).
% 3.14/0.78 thf(f40,axiom,(
% 3.14/0.78 (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',pp)).
% 3.14/0.78 thf(f165,plain,(
% 3.14/0.78 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0))))))))))),
% 3.14/0.78 inference(cnf_transformation,[],[f134])).
% 3.14/0.78 thf(f134,plain,(
% 3.14/0.78 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0))))))))))),
% 3.14/0.78 inference(fool_elimination,[],[f133])).
% 3.14/0.78 thf(f133,plain,(
% 3.14/0.78 (ntpp = (^[X0 : reg, X1 : reg] : (~? [X2 : reg] : ((ec @ X2 @ X0) & (ec @ X2 @ X1)) & (pp @ X0 @ X1))))),
% 3.14/0.78 inference(rectify,[],[f42])).
% 3.14/0.78 thf(f42,axiom,(
% 3.14/0.78 (ntpp = (^[X0 : reg, X1 : reg] : (~? [X11 : reg] : ((ec @ X11 @ X0) & (ec @ X11 @ X1)) & (pp @ X0 @ X1))))),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',ntpp)).
% 3.14/0.78 thf(f155,plain,(
% 3.14/0.78 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
% 3.14/0.78 inference(cnf_transformation,[],[f94])).
% 3.14/0.78 thf(f94,plain,(
% 3.14/0.78 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
% 3.14/0.78 inference(fool_elimination,[],[f93])).
% 3.14/0.78 thf(f93,plain,(
% 3.14/0.78 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 3.14/0.78 inference(rectify,[],[f46])).
% 3.14/0.78 thf(f46,axiom,(
% 3.14/0.78 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',ax3)).
% 3.14/0.78 thf(f5007,plain,(
% 3.14/0.78 spl0_55 | ~spl0_4),
% 3.14/0.78 inference(avatar_split_clause,[],[f4987,f281,f4998])).
% 3.14/0.78 thf(f281,plain,(
% 3.14/0.78 spl0_4 <=> ($true = ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france)))),
% 3.14/0.78 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 3.14/0.78 thf(f4987,plain,(
% 3.14/0.78 ($true = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))) | ~spl0_4),
% 3.14/0.78 inference(binary_proxy_clausification,[],[f282])).
% 3.14/0.78 thf(f282,plain,(
% 3.14/0.78 ($true = ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france))) | ~spl0_4),
% 3.14/0.78 inference(avatar_component_clause,[],[f281])).
% 3.14/0.78 thf(f3999,plain,(
% 3.14/0.78 spl0_3 | ~spl0_11),
% 3.14/0.78 inference(avatar_split_clause,[],[f3998,f873,f278])).
% 3.14/0.78 thf(f278,plain,(
% 3.14/0.78 spl0_3 <=> ! [X2,X1] : ($true = (~ (fool @ X1 @ X2)))),
% 3.14/0.78 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 3.14/0.78 thf(f873,plain,(
% 3.14/0.78 spl0_11 <=> ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) = $false)),
% 3.14/0.78 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
% 3.14/0.78 thf(f3998,plain,(
% 3.14/0.78 ( ! [X2 : $i,X1 : $i] : (($true = (~ (fool @ X1 @ X2)))) ) | ~spl0_11),
% 3.14/0.78 inference(boolean_simplification,[],[f3997])).
% 3.14/0.78 thf(f3997,plain,(
% 3.14/0.78 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (fool @ X1 @ X2)) | $false))) ) | ~spl0_11),
% 3.14/0.78 inference(boolean_simplification,[],[f3996])).
% 3.14/0.78 thf(f3996,plain,(
% 3.14/0.78 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (fool @ X1 @ X2)) | ($false & (c @ spain @ france))))) ) | ~spl0_11),
% 3.14/0.78 inference(boolean_simplification,[],[f3995])).
% 3.14/0.78 thf(f3995,plain,(
% 3.14/0.78 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (fool @ X1 @ X2)) | ((~ $true) & (c @ spain @ france))))) ) | ~spl0_11),
% 3.14/0.78 inference(forward_demodulation,[],[f911,f2457])).
% 3.14/0.78 thf(f2457,plain,(
% 3.14/0.78 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) = $true) | ~spl0_11),
% 3.14/0.78 inference(not_proxy_clausification,[],[f874])).
% 3.14/0.78 thf(f874,plain,(
% 3.14/0.78 ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) = $false) | ~spl0_11),
% 3.14/0.78 inference(avatar_component_clause,[],[f873])).
% 3.14/0.78 thf(f911,plain,(
% 3.14/0.78 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (fool @ X1 @ X2)) | ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france))))) )),
% 3.14/0.78 inference(beta_eta_normalization,[],[f910])).
% 3.14/0.78 thf(f910,plain,(
% 3.14/0.78 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ spain @ france)))) @ X2) = $true)) )),
% 3.14/0.78 inference(pi_clausification,[],[f273])).
% 3.14/0.78 thf(f273,plain,(
% 3.14/0.78 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ spain @ france))))))) )),
% 3.14/0.78 inference(beta_eta_normalization,[],[f272])).
% 3.14/0.78 thf(f272,plain,(
% 3.14/0.78 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ spain @ france)))))) @ X1))) )),
% 3.14/0.78 inference(pi_clausification,[],[f211])).
% 3.14/0.78 thf(f211,plain,(
% 3.14/0.78 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ spain @ france))))))) = $true)),
% 3.14/0.78 inference(beta_eta_normalization,[],[f204])).
% 3.14/0.78 thf(f204,plain,(
% 3.14/0.78 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ fool @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((~ ((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4))))))) @ Y1 @ Y2)) & (c @ Y1 @ Y2))))) @ spain @ france)))))),
% 3.14/0.78 inference(definition_unfolding,[],[f145,f186,f181,f200])).
% 3.14/0.78 thf(f145,plain,(
% 3.14/0.78 ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))) = $true)),
% 3.14/0.78 inference(cnf_transformation,[],[f119])).
% 3.14/0.78 thf(f119,plain,(
% 3.14/0.78 ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))) = $true)),
% 3.14/0.78 inference(fool_elimination,[],[f118])).
% 3.14/0.78 thf(f118,plain,(
% 3.14/0.78 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))),
% 3.14/0.78 inference(rectify,[],[f45])).
% 3.14/0.78 thf(f45,axiom,(
% 3.14/0.78 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',ax2)).
% 3.14/0.78 thf(f3983,plain,(
% 3.14/0.78 ~spl0_3),
% 3.14/0.78 inference(avatar_contradiction_clause,[],[f3982])).
% 3.14/0.78 thf(f3982,plain,(
% 3.14/0.78 $false | ~spl0_3),
% 3.14/0.78 inference(trivial_inequality_removal,[],[f3981])).
% 3.14/0.78 thf(f3981,plain,(
% 3.14/0.78 ($true = $false) | ~spl0_3),
% 3.14/0.78 inference(boolean_simplification,[],[f3980])).
% 3.14/0.78 thf(f3980,plain,(
% 3.14/0.78 ((~ $true) = $true) | ~spl0_3),
% 3.14/0.78 inference(forward_demodulation,[],[f3972,f3958])).
% 3.14/0.78 thf(f3958,plain,(
% 3.14/0.78 ( ! [X0 : $i > $o] : (($true = (X0 @ sK4))) ) | ~spl0_3),
% 3.14/0.78 inference(boolean_simplification,[],[f3957])).
% 3.14/0.78 thf(f3957,plain,(
% 3.14/0.78 ( ! [X0 : $i > $o] : (($true = ($false | (X0 @ sK4)))) ) | ~spl0_3),
% 3.14/0.78 inference(boolean_simplification,[],[f3954])).
% 3.14/0.78 thf(f3954,plain,(
% 3.14/0.78 ( ! [X0 : $i > $o] : (($true = ((~ $true) | (X0 @ sK4)))) ) | ~spl0_3),
% 3.14/0.78 inference(superposition,[],[f3948,f243])).
% 3.14/0.78 thf(f243,plain,(
% 3.14/0.78 ($true = (a @ sK2 @ sK4))),
% 3.14/0.78 inference(not_proxy_clausification,[],[f242])).
% 3.14/0.78 thf(f242,plain,(
% 3.14/0.78 ((~ (a @ sK2 @ sK4)) = $false)),
% 3.14/0.78 inference(beta_eta_normalization,[],[f241])).
% 3.14/0.78 thf(f241,plain,(
% 3.14/0.78 (((^[Y0 : $i]: (~ (a @ sK2 @ Y0))) @ sK4) = $false)),
% 3.14/0.78 inference(sigma_clausification,[],[f237])).
% 3.14/0.78 thf(f237,plain,(
% 3.14/0.78 ((!! @ $i @ (^[Y0 : $i]: (~ (a @ sK2 @ Y0)))) = $false)),
% 3.14/0.78 inference(boolean_simplification,[],[f236])).
% 3.14/0.78 thf(f236,plain,(
% 3.14/0.78 ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | $false))) = $false)),
% 3.14/0.78 inference(backward_demodulation,[],[f229,f235])).
% 3.14/0.78 thf(f235,plain,(
% 3.14/0.78 ($false = ((~ (c @ catalunya @ paris)) & (~ (c @ spain @ paris))))),
% 3.14/0.78 inference(boolean_simplification,[],[f234])).
% 3.14/0.78 thf(f234,plain,(
% 3.14/0.78 (($false | ((~ (c @ catalunya @ paris)) & (~ (c @ spain @ paris)))) = $false)),
% 3.14/0.78 inference(backward_demodulation,[],[f231,f233])).
% 3.14/0.78 thf(f3948,plain,(
% 3.14/0.78 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : ((((~ (a @ X1 @ X3)) | (X2 @ X3)) = $true)) ) | ~spl0_3),
% 3.14/0.78 inference(trivial_inequality_removal,[],[f3947])).
% 3.14/0.78 thf(f3947,plain,(
% 3.14/0.78 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : ((((~ (a @ X1 @ X3)) | (X2 @ X3)) = $true) | ($true = $false)) ) | ~spl0_3),
% 3.14/0.78 inference(boolean_simplification,[],[f3946])).
% 3.14/0.78 thf(f3946,plain,(
% 3.14/0.78 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : ((($true | (X2 @ (sK24 @ X1 @ X2))) = $false) | (((~ (a @ X1 @ X3)) | (X2 @ X3)) = $true)) ) | ~spl0_3),
% 3.14/0.78 inference(boolean_simplification,[],[f3945])).
% 3.14/0.78 thf(f3945,plain,(
% 3.14/0.78 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($false = ((~ $false) | (X2 @ (sK24 @ X1 @ X2)))) | (((~ (a @ X1 @ X3)) | (X2 @ X3)) = $true)) ) | ~spl0_3),
% 3.14/0.78 inference(forward_demodulation,[],[f3941,f286])).
% 3.14/0.78 thf(f286,plain,(
% 3.14/0.78 ( ! [X2 : $i,X1 : $i] : (((fool @ X1 @ X2) = $false)) ) | ~spl0_3),
% 3.14/0.78 inference(not_proxy_clausification,[],[f279])).
% 3.14/0.78 thf(f279,plain,(
% 3.14/0.78 ( ! [X2 : $i,X1 : $i] : (($true = (~ (fool @ X1 @ X2)))) ) | ~spl0_3),
% 3.14/0.78 inference(avatar_component_clause,[],[f278])).
% 3.14/0.78 thf(f3941,plain,(
% 3.14/0.78 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : ((((~ (fool @ X1 @ (sK24 @ X1 @ X2))) | (X2 @ (sK24 @ X1 @ X2))) = $false) | (((~ (a @ X1 @ X3)) | (X2 @ X3)) = $true)) )),
% 3.14/0.78 inference(beta_eta_normalization,[],[f3938])).
% 3.14/0.78 thf(f3938,plain,(
% 3.14/0.78 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))) @ (sK24 @ X1 @ X2)) = $false) | (((~ (a @ X1 @ X3)) | (X2 @ X3)) = $true)) )),
% 3.14/0.78 inference(sigma_clausification,[],[f2366])).
% 3.14/0.78 thf(f2366,plain,(
% 3.14/0.78 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0)))) = $false) | (((~ (a @ X1 @ X3)) | (X2 @ X3)) = $true)) )),
% 3.14/0.78 inference(beta_eta_normalization,[],[f2363])).
% 3.14/0.78 thf(f2363,plain,(
% 3.14/0.78 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0)))) = $false) | ($true = ((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0))) @ X3))) )),
% 3.14/0.78 inference(pi_clausification,[],[f1019])).
% 3.14/0.78 thf(f1019,plain,(
% 3.14/0.78 ( ! [X2 : $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0))))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0)))) = $false)) )),
% 3.14/0.78 inference(not_proxy_clausification,[],[f271])).
% 3.14/0.78 thf(f271,plain,(
% 3.14/0.78 ( ! [X2 : $i > $o,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0)))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))))) )),
% 3.14/0.78 inference(binary_proxy_clausification,[],[f270])).
% 3.14/0.78 thf(f270,plain,(
% 3.14/0.78 ( ! [X2 : $i > $o,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0)))))) = $true)) )),
% 3.14/0.78 inference(beta_eta_normalization,[],[f269])).
% 3.14/0.78 thf(f269,plain,(
% 3.14/0.78 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (a @ X1 @ Y1)) | (Y0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1))))))) @ X2))) )),
% 3.14/0.78 inference(pi_clausification,[],[f268])).
% 3.14/0.78 thf(f268,plain,(
% 3.14/0.78 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (a @ X1 @ Y1)) | (Y0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1)))))))))) )),
% 3.14/0.78 inference(beta_eta_normalization,[],[f267])).
% 3.14/0.78 thf(f267,plain,(
% 3.14/0.78 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (a @ Y0 @ Y2)) | (Y1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2))))))))) @ X1))) )),
% 3.14/0.78 inference(pi_clausification,[],[f210])).
% 3.14/0.78 thf(f210,plain,(
% 3.14/0.78 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (a @ Y0 @ Y2)) | (Y1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))),
% 3.14/0.78 inference(beta_eta_normalization,[],[f208])).
% 3.14/0.78 thf(f208,plain,(
% 3.14/0.78 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ fool @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ a @ Y0))))))),
% 3.14/0.78 inference(definition_unfolding,[],[f183,f186,f187,f189,f181,f181])).
% 3.14/0.78 thf(f189,plain,(
% 3.14/0.78 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 3.14/0.78 inference(definition_unfolding,[],[f162,f148,f141])).
% 3.14/0.78 thf(f141,plain,(
% 3.14/0.78 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 3.14/0.78 inference(cnf_transformation,[],[f125])).
% 3.14/0.78 thf(f125,plain,(
% 3.14/0.78 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 3.14/0.78 inference(fool_elimination,[],[f124])).
% 3.14/0.78 thf(f124,plain,(
% 3.14/0.78 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 3.14/0.78 inference(rectify,[],[f3])).
% 3.14/0.78 thf(f3,axiom,(
% 3.14/0.78 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',mnot)).
% 3.14/0.78 thf(f148,plain,(
% 3.14/0.78 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 3.14/0.78 inference(cnf_transformation,[],[f88])).
% 3.14/0.78 thf(f88,plain,(
% 3.14/0.78 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 3.14/0.78 inference(fool_elimination,[],[f87])).
% 3.14/0.78 thf(f87,plain,(
% 3.14/0.78 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 3.14/0.78 inference(rectify,[],[f4])).
% 3.14/0.78 thf(f4,axiom,(
% 3.14/0.78 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',mor)).
% 3.14/0.78 thf(f162,plain,(
% 3.14/0.78 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 3.14/0.78 inference(cnf_transformation,[],[f130])).
% 3.14/0.78 thf(f130,plain,(
% 3.14/0.78 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 3.14/0.78 inference(fool_elimination,[],[f129])).
% 3.14/0.78 thf(f129,plain,(
% 3.14/0.78 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 3.14/0.78 inference(rectify,[],[f6])).
% 3.14/0.78 thf(f6,axiom,(
% 3.14/0.78 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',mimplies)).
% 3.14/0.78 thf(f187,plain,(
% 3.14/0.78 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 3.14/0.78 inference(cnf_transformation,[],[f106])).
% 3.14/0.78 thf(f106,plain,(
% 3.14/0.78 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 3.14/0.78 inference(fool_elimination,[],[f105])).
% 3.14/0.78 thf(f105,plain,(
% 3.14/0.78 (mforall_prop = (^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))))),
% 3.14/0.78 inference(rectify,[],[f11])).
% 3.14/0.78 thf(f11,axiom,(
% 3.14/0.78 (mforall_prop = (^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))))),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',mforall_prop)).
% 3.14/0.78 thf(f183,plain,(
% 3.14/0.78 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ (mbox @ a @ Y0))))) = $true)),
% 3.14/0.78 inference(cnf_transformation,[],[f114])).
% 3.14/0.78 thf(f114,plain,(
% 3.14/0.78 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ (mbox @ a @ Y0))))) = $true)),
% 3.14/0.78 inference(fool_elimination,[],[f113])).
% 3.14/0.78 thf(f113,plain,(
% 3.14/0.78 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ fool @ X0) @ (mbox @ a @ X0)))))),
% 3.14/0.78 inference(rectify,[],[f43])).
% 3.14/0.78 thf(f43,axiom,(
% 3.14/0.78 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ fool @ X3) @ (mbox @ a @ X3)))))),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',i_axiom_for_fool_a)).
% 3.14/0.78 thf(f3972,plain,(
% 3.14/0.78 ( ! [X3 : $i > $o] : (((~ (X3 @ sK4)) = $true)) ) | ~spl0_3),
% 3.14/0.78 inference(beta_eta_normalization,[],[f3968])).
% 3.14/0.78 thf(f3968,plain,(
% 3.14/0.78 ( ! [X3 : $i > $o] : (($true = ((^[Y0 : $i]: (~ (X3 @ Y0))) @ sK4))) ) | ~spl0_3),
% 3.14/0.78 inference(primitive_instantiation,[],[f3958])).
% 3.14/0.78 thf(f2381,plain,(
% 3.14/0.78 spl0_12 | spl0_11 | ~spl0_1),
% 3.14/0.78 inference(avatar_split_clause,[],[f2380,f248,f873,f876])).
% 3.14/0.78 thf(f248,plain,(
% 3.14/0.78 spl0_1 <=> ((~ (c @ catalunya @ paris)) = $false)),
% 3.14/0.78 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 3.14/0.78 thf(f2380,plain,(
% 3.14/0.78 ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) = $false) | ($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) | ~spl0_1),
% 3.14/0.78 inference(binary_proxy_clausification,[],[f2144])).
% 3.14/0.78 thf(f2144,plain,(
% 3.14/0.78 (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) = $false) | ~spl0_1),
% 3.14/0.78 inference(boolean_simplification,[],[f2143])).
% 3.14/0.78 thf(f2143,plain,(
% 3.14/0.78 ((((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & $true) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) = $false) | ~spl0_1),
% 3.14/0.78 inference(forward_demodulation,[],[f2136,f2138])).
% 3.14/0.78 thf(f2138,plain,(
% 3.14/0.78 ((c @ spain @ france) = $true) | ~spl0_1),
% 3.14/0.78 inference(boolean_simplification,[],[f2131])).
% 3.14/0.78 thf(f2131,plain,(
% 3.14/0.78 ($true = ($true => (c @ spain @ france))) | ~spl0_1),
% 3.14/0.78 inference(superposition,[],[f445,f2110])).
% 3.14/0.78 thf(f2110,plain,(
% 3.14/0.78 ($true = (c @ spain @ paris)) | ~spl0_1),
% 3.14/0.78 inference(boolean_simplification,[],[f2108])).
% 3.14/0.78 thf(f2108,plain,(
% 3.14/0.78 ($true = ($true => (c @ spain @ paris))) | ~spl0_1),
% 3.14/0.78 inference(superposition,[],[f219,f2105])).
% 3.14/0.78 thf(f2105,plain,(
% 3.14/0.78 ($true = (c @ paris @ spain)) | ~spl0_1),
% 3.14/0.78 inference(boolean_simplification,[],[f2101])).
% 3.14/0.78 thf(f2101,plain,(
% 3.14/0.78 (($true => (c @ paris @ spain)) = $true) | ~spl0_1),
% 3.14/0.78 inference(superposition,[],[f330,f2088])).
% 3.14/0.78 thf(f2088,plain,(
% 3.14/0.78 ($true = (c @ paris @ catalunya)) | ~spl0_1),
% 3.14/0.78 inference(boolean_simplification,[],[f2084])).
% 3.14/0.78 thf(f2084,plain,(
% 3.14/0.78 ($true = ($true => (c @ paris @ catalunya))) | ~spl0_1),
% 3.14/0.78 inference(superposition,[],[f219,f2072])).
% 3.14/0.78 thf(f2072,plain,(
% 3.14/0.78 ($true = (c @ catalunya @ paris)) | ~spl0_1),
% 3.14/0.78 inference(not_proxy_clausification,[],[f249])).
% 3.14/0.78 thf(f249,plain,(
% 3.14/0.78 ((~ (c @ catalunya @ paris)) = $false) | ~spl0_1),
% 3.14/0.78 inference(avatar_component_clause,[],[f248])).
% 3.14/0.78 thf(f330,plain,(
% 3.14/0.78 ( ! [X1 : reg] : (($true = ((c @ X1 @ catalunya) => (c @ X1 @ spain)))) )),
% 3.14/0.78 inference(beta_eta_normalization,[],[f329])).
% 3.14/0.78 thf(f329,plain,(
% 3.14/0.78 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X1) = $true)) )),
% 3.14/0.78 inference(pi_clausification,[],[f315])).
% 3.14/0.78 thf(f315,plain,(
% 3.14/0.78 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))),
% 3.14/0.78 inference(binary_proxy_clausification,[],[f311])).
% 3.14/0.78 thf(f311,plain,(
% 3.14/0.78 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))),
% 3.14/0.78 inference(boolean_simplification,[],[f310])).
% 3.14/0.78 thf(f310,plain,(
% 3.14/0.78 (($true & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) = $true)),
% 3.14/0.78 inference(backward_demodulation,[],[f299,f309])).
% 3.14/0.78 thf(f309,plain,(
% 3.14/0.78 ($true = (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya))))))),
% 3.14/0.78 inference(binary_proxy_clausification,[],[f299])).
% 3.14/0.78 thf(f299,plain,(
% 3.14/0.78 ($true = ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))))),
% 3.14/0.78 inference(boolean_simplification,[],[f298])).
% 3.14/0.78 thf(f298,plain,(
% 3.14/0.78 (($false | ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) = $true)),
% 3.14/0.78 inference(boolean_simplification,[],[f295])).
% 3.14/0.78 thf(f295,plain,(
% 3.14/0.78 ($true = ((~ $true) | ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))))),
% 3.14/0.78 inference(superposition,[],[f292,f243])).
% 3.14/0.78 thf(f292,plain,(
% 3.14/0.78 ( ! [X2 : $i,X1 : $i] : ((((~ (a @ X1 @ X2)) | ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) = $true)) )),
% 3.14/0.78 inference(beta_eta_normalization,[],[f291])).
% 3.14/0.78 thf(f291,plain,(
% 3.14/0.78 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) & (c @ Y1 @ spain)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))) & (c @ Y1 @ catalunya))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))))))) @ X2))) )),
% 3.14/0.78 inference(pi_clausification,[],[f290])).
% 3.14/0.78 thf(f290,plain,(
% 3.14/0.78 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) & (c @ Y1 @ spain)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))) & (c @ Y1 @ catalunya))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya)))))))))) = $true)) )),
% 3.14/0.78 inference(beta_eta_normalization,[],[f289])).
% 3.14/0.78 thf(f289,plain,(
% 3.14/0.78 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))) & (c @ Y2 @ spain)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))))))) & (c @ Y2 @ catalunya))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))))))))) @ X1))) )),
% 3.14/0.78 inference(pi_clausification,[],[f209])).
% 3.14/0.78 thf(f209,plain,(
% 3.14/0.78 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))) & (c @ Y2 @ spain)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))))))) & (c @ Y2 @ catalunya))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya)))))))))))))),
% 3.14/0.78 inference(beta_eta_normalization,[],[f206])).
% 3.14/0.78 thf(f206,plain,(
% 3.14/0.78 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (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 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ 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))))) @ catalunya @ spain)))) = $true)),
% 3.14/0.78 inference(definition_unfolding,[],[f164,f186,f181,f202])).
% 3.14/0.78 thf(f202,plain,(
% 3.14/0.78 (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 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ 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 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ 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))))))),
% 3.14/0.78 inference(definition_unfolding,[],[f169,f200,f200,f201])).
% 3.14/0.78 thf(f169,plain,(
% 3.14/0.78 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0)))) & (pp @ Y0 @ Y1))))))),
% 3.14/0.78 inference(cnf_transformation,[],[f51])).
% 3.14/0.78 thf(f51,plain,(
% 3.14/0.78 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0)))) & (pp @ Y0 @ Y1))))))),
% 3.14/0.78 inference(fool_elimination,[],[f50])).
% 3.14/0.78 thf(f50,plain,(
% 3.14/0.78 (tpp = (^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X2 : reg] : ((ec @ X2 @ X0) & (ec @ X2 @ X1)))))),
% 3.14/0.78 inference(rectify,[],[f41])).
% 3.14/0.78 thf(f41,axiom,(
% 3.14/0.78 (tpp = (^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X11 : reg] : ((ec @ X11 @ X0) & (ec @ X11 @ X1)))))),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',tpp)).
% 3.14/0.78 thf(f164,plain,(
% 3.14/0.78 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
% 3.14/0.78 inference(cnf_transformation,[],[f123])).
% 3.14/0.78 thf(f123,plain,(
% 3.14/0.78 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
% 3.14/0.78 inference(fool_elimination,[],[f122])).
% 3.14/0.78 thf(f122,plain,(
% 3.14/0.78 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 3.14/0.78 inference(rectify,[],[f44])).
% 3.14/0.78 thf(f44,axiom,(
% 3.14/0.78 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 3.14/0.78 file('/export/starexec/sandbox/tmp/tmp.HvN548pYTp/Vampire---4.8_13718',ax1)).
% 3.14/0.78 thf(f2136,plain,(
% 3.14/0.78 ($false = (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france)) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))))) | ~spl0_1),
% 3.14/0.78 inference(boolean_simplification,[],[f2130])).
% 3.14/0.78 thf(f2130,plain,(
% 3.14/0.78 ((((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france)) & ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & $true)) = $false) | ~spl0_1),
% 3.14/0.78 inference(superposition,[],[f545,f2110])).
% 3.14/0.78 thf(f545,plain,(
% 3.14/0.78 ( ! [X1 : reg] : (((((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ X1 @ france)) & ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & (c @ X1 @ paris))) = $false)) )),
% 3.14/0.78 inference(beta_eta_normalization,[],[f544])).
% 3.14/0.78 thf(f544,plain,(
% 3.14/0.78 ( ! [X1 : reg] : ((((^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)))) @ X1) = $false)) )),
% 3.14/0.78 inference(pi_clausification,[],[f537])).
% 3.14/0.78 thf(f537,plain,(
% 3.14/0.78 ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris))))) = $false)),
% 3.14/0.78 inference(not_proxy_clausification,[],[f396])).
% 3.14/0.78 thf(f878,plain,(
% 3.14/0.78 spl0_11 | spl0_12 | ~spl0_2),
% 3.14/0.78 inference(avatar_split_clause,[],[f871,f251,f876,f873])).
% 3.14/0.78 thf(f251,plain,(
% 3.14/0.78 spl0_2 <=> ((~ (c @ spain @ paris)) = $false)),
% 3.14/0.78 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 3.14/0.78 thf(f871,plain,(
% 3.14/0.78 ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) = $false) | ($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) | ~spl0_2),
% 3.14/0.78 inference(binary_proxy_clausification,[],[f582])).
% 3.14/0.78 thf(f582,plain,(
% 3.14/0.78 (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) = $false) | ~spl0_2),
% 3.14/0.78 inference(boolean_simplification,[],[f581])).
% 3.14/0.78 thf(f581,plain,(
% 3.14/0.78 (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & $true)) = $false) | ~spl0_2),
% 3.14/0.78 inference(forward_demodulation,[],[f570,f256])).
% 3.14/0.78 thf(f256,plain,(
% 3.14/0.78 ($true = (c @ spain @ paris)) | ~spl0_2),
% 3.14/0.78 inference(not_proxy_clausification,[],[f252])).
% 3.14/0.78 thf(f252,plain,(
% 3.14/0.78 ((~ (c @ spain @ paris)) = $false) | ~spl0_2),
% 3.14/0.78 inference(avatar_component_clause,[],[f251])).
% 3.14/0.78 thf(f570,plain,(
% 3.14/0.78 (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & (c @ spain @ paris))) = $false) | ~spl0_2),
% 3.14/0.78 inference(boolean_simplification,[],[f557])).
% 3.14/0.78 thf(f557,plain,(
% 3.14/0.78 ((((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & $true) & ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & (c @ spain @ paris))) = $false) | ~spl0_2),
% 3.14/0.78 inference(superposition,[],[f545,f454])).
% 3.14/0.78 thf(f454,plain,(
% 3.14/0.78 ((c @ spain @ france) = $true) | ~spl0_2),
% 3.14/0.78 inference(boolean_simplification,[],[f449])).
% 3.14/0.78 thf(f449,plain,(
% 3.14/0.78 ($true = ($true => (c @ spain @ france))) | ~spl0_2),
% 3.14/0.78 inference(superposition,[],[f445,f256])).
% 3.14/0.78 thf(f283,plain,(
% 3.14/0.78 spl0_3 | spl0_4),
% 3.14/0.78 inference(avatar_split_clause,[],[f276,f281,f278])).
% 3.14/0.78 thf(f276,plain,(
% 3.14/0.78 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france))) | ($true = (~ (fool @ X1 @ X2)))) )),
% 3.14/0.78 inference(binary_proxy_clausification,[],[f275])).
% 3.14/0.78 thf(f275,plain,(
% 3.14/0.78 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (fool @ X1 @ X2)) | ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france))))) )),
% 3.14/0.78 inference(beta_eta_normalization,[],[f274])).
% 3.14/0.78 thf(f274,plain,(
% 3.14/0.78 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ spain @ france)))) @ X2) = $true)) )),
% 3.14/0.78 inference(pi_clausification,[],[f273])).
% 3.14/0.78 thf(f253,plain,(
% 3.14/0.78 spl0_1 | spl0_2),
% 3.14/0.78 inference(avatar_split_clause,[],[f246,f251,f248])).
% 3.14/0.78 thf(f246,plain,(
% 3.14/0.78 ((~ (c @ catalunya @ paris)) = $false) | ((~ (c @ spain @ paris)) = $false)),
% 3.14/0.78 inference(binary_proxy_clausification,[],[f235])).
% 3.14/0.78 % SZS output end Proof for Vampire---4
% 3.14/0.78 % (13974)------------------------------
% 3.14/0.78 % (13974)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.14/0.78 % (13974)Termination reason: Refutation
% 3.14/0.78
% 3.14/0.78 % (13974)Memory used [KB]: 7675
% 3.14/0.78 % (13974)Time elapsed: 0.385 s
% 3.14/0.78 % (13974)Instructions burned: 608 (million)
% 3.14/0.78 % (13974)------------------------------
% 3.14/0.78 % (13974)------------------------------
% 3.14/0.78 % (13962)Success in time 0.406 s
% 3.14/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------