TSTP Solution File: GEG006^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEG006^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 19:57:06 EDT 2024
% Result : Theorem 0.24s 0.46s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : GEG006^1 : TPTP v8.2.0. Released v4.1.0.
% 0.05/0.16 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.39 % Computer : n025.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Sat May 18 21:58:38 EDT 2024
% 0.16/0.39 % CPUTime :
% 0.16/0.39 This is a TH0_THM_EQU_NAR problem
% 0.16/0.39 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.40 % (16816)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.24/0.40 % (16813)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.24/0.40 % (16816)Instruction limit reached!
% 0.24/0.40 % (16816)------------------------------
% 0.24/0.40 % (16816)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.40 % (16816)Termination reason: Unknown
% 0.24/0.40 % (16816)Termination phase: shuffling
% 0.24/0.40
% 0.24/0.40 % (16816)Memory used [KB]: 1023
% 0.24/0.40 % (16816)Time elapsed: 0.002 s
% 0.24/0.40 % (16816)Instructions burned: 2 (million)
% 0.24/0.40 % (16816)------------------------------
% 0.24/0.40 % (16816)------------------------------
% 0.24/0.41 % (16814)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.24/0.41 % (16819)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.24/0.41 % (16820)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.24/0.41 % (16814)Instruction limit reached!
% 0.24/0.41 % (16814)------------------------------
% 0.24/0.41 % (16814)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.41 % (16814)Termination reason: Unknown
% 0.24/0.41 % (16814)Termination phase: shuffling
% 0.24/0.41
% 0.24/0.41 % (16815)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.24/0.41 % (16814)Memory used [KB]: 1151
% 0.24/0.41 % (16814)Time elapsed: 0.004 s
% 0.24/0.41 % (16814)Instructions burned: 5 (million)
% 0.24/0.41 % (16814)------------------------------
% 0.24/0.41 % (16814)------------------------------
% 0.24/0.41 % (16818)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.24/0.41 % (16820)Instruction limit reached!
% 0.24/0.41 % (16820)------------------------------
% 0.24/0.41 % (16820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.41 % (16820)Termination reason: Unknown
% 0.24/0.41 % (16820)Termination phase: shuffling
% 0.24/0.41
% 0.24/0.41 % (16820)Memory used [KB]: 1023
% 0.24/0.41 % (16820)Time elapsed: 0.003 s
% 0.24/0.41 % (16820)Instructions burned: 4 (million)
% 0.24/0.41 % (16820)------------------------------
% 0.24/0.41 % (16820)------------------------------
% 0.24/0.41 % (16817)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.24/0.41 % (16817)Instruction limit reached!
% 0.24/0.41 % (16817)------------------------------
% 0.24/0.41 % (16817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.41 % (16817)Termination reason: Unknown
% 0.24/0.41 % (16817)Termination phase: shuffling
% 0.24/0.41
% 0.24/0.41 % (16817)Memory used [KB]: 1023
% 0.24/0.41 % (16817)Time elapsed: 0.002 s
% 0.24/0.41 % (16817)Instructions burned: 2 (million)
% 0.24/0.41 % (16817)------------------------------
% 0.24/0.41 % (16817)------------------------------
% 0.24/0.41 % (16821)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.24/0.41 % (16819)Instruction limit reached!
% 0.24/0.41 % (16819)------------------------------
% 0.24/0.41 % (16819)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.41 % (16819)Termination reason: Unknown
% 0.24/0.41 % (16819)Termination phase: Saturation
% 0.24/0.41
% 0.24/0.41 % (16819)Memory used [KB]: 5628
% 0.24/0.41 % (16819)Time elapsed: 0.009 s
% 0.24/0.41 % (16819)Instructions burned: 20 (million)
% 0.24/0.41 % (16819)------------------------------
% 0.24/0.41 % (16819)------------------------------
% 0.24/0.42 % (16815)Instruction limit reached!
% 0.24/0.42 % (16815)------------------------------
% 0.24/0.42 % (16815)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.42 % (16815)Termination reason: Unknown
% 0.24/0.42 % (16815)Termination phase: Saturation
% 0.24/0.42
% 0.24/0.42 % (16815)Memory used [KB]: 5756
% 0.24/0.42 % (16815)Time elapsed: 0.009 s
% 0.24/0.42 % (16815)Instructions burned: 27 (million)
% 0.24/0.42 % (16815)------------------------------
% 0.24/0.42 % (16815)------------------------------
% 0.24/0.42 % (16818)Refutation not found, incomplete strategy
% 0.24/0.42 % (16818)------------------------------
% 0.24/0.42 % (16818)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.42 % (16818)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.42
% 0.24/0.42
% 0.24/0.42 % (16818)Memory used [KB]: 5628
% 0.24/0.42 % (16818)Time elapsed: 0.010 s
% 0.24/0.42 % (16818)Instructions burned: 16 (million)
% 0.24/0.42 % (16818)------------------------------
% 0.24/0.42 % (16818)------------------------------
% 0.24/0.42 % (16822)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.24/0.42 % (16823)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.24/0.42 % (16824)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.24/0.42 % (16823)Instruction limit reached!
% 0.24/0.42 % (16823)------------------------------
% 0.24/0.42 % (16823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.42 % (16823)Termination reason: Unknown
% 0.24/0.42 % (16823)Termination phase: shuffling
% 0.24/0.42
% 0.24/0.42 % (16823)Memory used [KB]: 1151
% 0.24/0.42 % (16823)Time elapsed: 0.003 s
% 0.24/0.42 % (16823)Instructions burned: 4 (million)
% 0.24/0.42 % (16823)------------------------------
% 0.24/0.42 % (16823)------------------------------
% 0.24/0.42 % (16822)Instruction limit reached!
% 0.24/0.42 % (16822)------------------------------
% 0.24/0.42 % (16822)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.42 % (16822)Termination reason: Unknown
% 0.24/0.42 % (16822)Termination phase: Saturation
% 0.24/0.42
% 0.24/0.42 % (16822)Memory used [KB]: 1151
% 0.24/0.42 % (16822)Time elapsed: 0.008 s
% 0.24/0.42 % (16822)Instructions burned: 16 (million)
% 0.24/0.42 % (16822)------------------------------
% 0.24/0.42 % (16822)------------------------------
% 0.24/0.42 % (16821)Instruction limit reached!
% 0.24/0.42 % (16821)------------------------------
% 0.24/0.42 % (16821)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.42 % (16821)Termination reason: Unknown
% 0.24/0.42 % (16821)Termination phase: Saturation
% 0.24/0.42
% 0.24/0.42 % (16821)Memory used [KB]: 5884
% 0.24/0.42 % (16821)Time elapsed: 0.013 s
% 0.24/0.42 % (16821)Instructions burned: 39 (million)
% 0.24/0.42 % (16821)------------------------------
% 0.24/0.42 % (16821)------------------------------
% 0.24/0.42 % (16826)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.24/0.43 % (16825)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.24/0.43 % (16826)Instruction limit reached!
% 0.24/0.43 % (16826)------------------------------
% 0.24/0.43 % (16826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (16826)Termination reason: Unknown
% 0.24/0.43 % (16826)Termination phase: Saturation
% 0.24/0.43
% 0.24/0.43 % (16826)Memory used [KB]: 5628
% 0.24/0.43 % (16826)Time elapsed: 0.006 s
% 0.24/0.43 % (16826)Instructions burned: 16 (million)
% 0.24/0.43 % (16826)------------------------------
% 0.24/0.43 % (16826)------------------------------
% 0.24/0.43 % (16825)Instruction limit reached!
% 0.24/0.43 % (16825)------------------------------
% 0.24/0.43 % (16825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (16825)Termination reason: Unknown
% 0.24/0.43 % (16825)Termination phase: Property scanning
% 0.24/0.43
% 0.24/0.43 % (16825)Memory used [KB]: 1151
% 0.24/0.43 % (16825)Time elapsed: 0.004 s
% 0.24/0.43 % (16825)Instructions burned: 7 (million)
% 0.24/0.43 % (16825)------------------------------
% 0.24/0.43 % (16825)------------------------------
% 0.24/0.43 % (16830)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.24/0.43 % (16827)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.24/0.43 % (16830)Instruction limit reached!
% 0.24/0.43 % (16830)------------------------------
% 0.24/0.43 % (16830)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (16830)Termination reason: Unknown
% 0.24/0.43 % (16830)Termination phase: shuffling
% 0.24/0.43
% 0.24/0.43 % (16830)Memory used [KB]: 1023
% 0.24/0.43 % (16830)Time elapsed: 0.003 s
% 0.24/0.43 % (16830)Instructions burned: 3 (million)
% 0.24/0.43 % (16830)------------------------------
% 0.24/0.43 % (16830)------------------------------
% 0.24/0.44 % (16827)Instruction limit reached!
% 0.24/0.44 % (16827)------------------------------
% 0.24/0.44 % (16827)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (16827)Termination reason: Unknown
% 0.24/0.44 % (16827)Termination phase: shuffling
% 0.24/0.44
% 0.24/0.44 % (16827)Memory used [KB]: 1151
% 0.24/0.44 % (16827)Time elapsed: 0.004 s
% 0.24/0.44 % (16827)Instructions burned: 4 (million)
% 0.24/0.44 % (16827)------------------------------
% 0.24/0.44 % (16827)------------------------------
% 0.24/0.44 % (16831)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.24/0.44 % (16829)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.24/0.44 % (16831)Instruction limit reached!
% 0.24/0.44 % (16831)------------------------------
% 0.24/0.44 % (16831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (16831)Termination reason: Unknown
% 0.24/0.44 % (16831)Termination phase: Property scanning
% 0.24/0.44
% 0.24/0.44 % (16831)Memory used [KB]: 1151
% 0.24/0.44 % (16831)Time elapsed: 0.003 s
% 0.24/0.44 % (16831)Instructions burned: 6 (million)
% 0.24/0.44 % (16831)------------------------------
% 0.24/0.44 % (16831)------------------------------
% 0.24/0.44 % (16828)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.24/0.44 % (16829)Instruction limit reached!
% 0.24/0.44 % (16829)------------------------------
% 0.24/0.44 % (16829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (16829)Termination reason: Unknown
% 0.24/0.44 % (16829)Termination phase: Property scanning
% 0.24/0.44
% 0.24/0.44 % (16829)Memory used [KB]: 1151
% 0.24/0.44 % (16829)Time elapsed: 0.004 s
% 0.24/0.44 % (16829)Instructions burned: 8 (million)
% 0.24/0.44 % (16829)------------------------------
% 0.24/0.44 % (16829)------------------------------
% 0.24/0.44 % (16828)Instruction limit reached!
% 0.24/0.44 % (16828)------------------------------
% 0.24/0.44 % (16828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (16828)Termination reason: Unknown
% 0.24/0.44 % (16828)Termination phase: shuffling
% 0.24/0.44
% 0.24/0.44 % (16828)Memory used [KB]: 1023
% 0.24/0.44 % (16828)Time elapsed: 0.003 s
% 0.24/0.44 % (16828)Instructions burned: 4 (million)
% 0.24/0.44 % (16828)------------------------------
% 0.24/0.44 % (16828)------------------------------
% 0.24/0.45 % (16834)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.24/0.45 % (16832)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.24/0.45 % (16834)Instruction limit reached!
% 0.24/0.45 % (16834)------------------------------
% 0.24/0.45 % (16834)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.45 % (16834)Termination reason: Unknown
% 0.24/0.45 % (16834)Termination phase: Property scanning
% 0.24/0.45
% 0.24/0.45 % (16834)Memory used [KB]: 1151
% 0.24/0.45 % (16834)Time elapsed: 0.004 s
% 0.24/0.45 % (16834)Instructions burned: 8 (million)
% 0.24/0.45 % (16834)------------------------------
% 0.24/0.45 % (16834)------------------------------
% 0.24/0.45 % (16835)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.24/0.45 % (16833)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.24/0.45 % (16835)Refutation not found, incomplete strategy
% 0.24/0.45 % (16835)------------------------------
% 0.24/0.45 % (16835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.45 % (16835)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.45
% 0.24/0.45
% 0.24/0.45 % (16835)Memory used [KB]: 5628
% 0.24/0.45 % (16835)Time elapsed: 0.005 s
% 0.24/0.45 % (16835)Instructions burned: 13 (million)
% 0.24/0.45 % (16835)------------------------------
% 0.24/0.45 % (16835)------------------------------
% 0.24/0.45 % (16836)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.24/0.45 % (16824)First to succeed.
% 0.24/0.46 % (16832)Instruction limit reached!
% 0.24/0.46 % (16832)------------------------------
% 0.24/0.46 % (16832)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (16837)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.24/0.46 % (16832)Termination reason: Unknown
% 0.24/0.46 % (16832)Termination phase: Saturation
% 0.24/0.46
% 0.24/0.46 % (16832)Memory used [KB]: 5756
% 0.24/0.46 % (16832)Time elapsed: 0.011 s
% 0.24/0.46 % (16832)Instructions burned: 19 (million)
% 0.24/0.46 % (16832)------------------------------
% 0.24/0.46 % (16832)------------------------------
% 0.24/0.46 % (16837)Instruction limit reached!
% 0.24/0.46 % (16837)------------------------------
% 0.24/0.46 % (16837)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (16837)Termination reason: Unknown
% 0.24/0.46 % (16837)Termination phase: shuffling
% 0.24/0.46
% 0.24/0.46 % (16837)Memory used [KB]: 1151
% 0.24/0.46 % (16837)Time elapsed: 0.004 s
% 0.24/0.46 % (16837)Instructions burned: 5 (million)
% 0.24/0.46 % (16837)------------------------------
% 0.24/0.46 % (16837)------------------------------
% 0.24/0.46 % (16839)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.24/0.46 % (16839)Instruction limit reached!
% 0.24/0.46 % (16839)------------------------------
% 0.24/0.46 % (16839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (16839)Termination reason: Unknown
% 0.24/0.46 % (16839)Termination phase: SInE selection
% 0.24/0.46
% 0.24/0.46 % (16839)Memory used [KB]: 1151
% 0.24/0.46 % (16839)Time elapsed: 0.003 s
% 0.24/0.46 % (16839)Instructions burned: 8 (million)
% 0.24/0.46 % (16839)------------------------------
% 0.24/0.46 % (16839)------------------------------
% 0.24/0.46 % (16840)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.24/0.46 % (16824)Refutation found. Thanks to Tanya!
% 0.24/0.46 % SZS status Theorem for theBenchmark
% 0.24/0.46 % SZS output start Proof for theBenchmark
% 0.24/0.46 thf(type_def_5, type, mu: $tType).
% 0.24/0.46 thf(type_def_7, type, reg: $tType).
% 0.24/0.46 thf(func_def_0, type, mu: $tType).
% 0.24/0.46 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.24/0.46 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.46 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.24/0.46 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.46 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.46 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.46 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.46 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.46 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.46 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.24/0.46 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.24/0.46 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.24/0.46 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.24/0.46 thf(func_def_15, type, mtrue: $i > $o).
% 0.24/0.46 thf(func_def_16, type, mfalse: $i > $o).
% 0.24/0.46 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.24/0.46 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.24/0.46 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.24/0.46 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.24/0.46 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.24/0.46 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.24/0.46 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.24/0.46 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.24/0.46 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.24/0.46 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.24/0.46 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.24/0.46 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.24/0.46 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.24/0.46 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.24/0.46 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.24/0.46 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.24/0.46 thf(func_def_33, type, reg: $tType).
% 0.24/0.46 thf(func_def_34, type, c: reg > reg > $o).
% 0.24/0.46 thf(func_def_35, type, dc: reg > reg > $o).
% 0.24/0.46 thf(func_def_36, type, p: reg > reg > $o).
% 0.24/0.46 thf(func_def_37, type, eq: reg > reg > $o).
% 0.24/0.46 thf(func_def_38, type, o: reg > reg > $o).
% 0.24/0.46 thf(func_def_39, type, po: reg > reg > $o).
% 0.24/0.46 thf(func_def_40, type, ec: reg > reg > $o).
% 0.24/0.46 thf(func_def_41, type, pp: reg > reg > $o).
% 0.24/0.46 thf(func_def_42, type, tpp: reg > reg > $o).
% 0.24/0.46 thf(func_def_43, type, ntpp: reg > reg > $o).
% 0.24/0.46 thf(func_def_44, type, catalunya: reg).
% 0.24/0.46 thf(func_def_45, type, france: reg).
% 0.24/0.46 thf(func_def_46, type, spain: reg).
% 0.24/0.46 thf(func_def_47, type, paris: reg).
% 0.24/0.46 thf(func_def_48, type, a: $i > $i > $o).
% 0.24/0.46 thf(func_def_49, type, fool: $i > $i > $o).
% 0.24/0.46 thf(func_def_66, type, ph1: !>[X0: $tType]:(X0)).
% 0.24/0.46 thf(func_def_70, type, sK5: reg).
% 0.24/0.46 thf(func_def_71, type, sK6: reg).
% 0.24/0.46 thf(func_def_72, type, sK7: reg).
% 0.24/0.46 thf(f523,plain,(
% 0.24/0.46 $false),
% 0.24/0.46 inference(avatar_sat_refutation,[],[f320,f504,f522])).
% 0.24/0.46 thf(f522,plain,(
% 0.24/0.46 ~spl0_4),
% 0.24/0.46 inference(avatar_contradiction_clause,[],[f521])).
% 0.24/0.46 thf(f521,plain,(
% 0.24/0.46 $false | ~spl0_4),
% 0.24/0.46 inference(trivial_inequality_removal,[],[f520])).
% 0.24/0.46 thf(f520,plain,(
% 0.24/0.46 ($true = $false) | ~spl0_4),
% 0.24/0.46 inference(beta_eta_normalization,[],[f519])).
% 0.24/0.46 thf(f519,plain,(
% 0.24/0.46 (((^[Y0 : reg]: ($true)) @ sK7) = $false) | ~spl0_4),
% 0.24/0.46 inference(sigma_clausification,[],[f518])).
% 0.24/0.46 thf(f518,plain,(
% 0.24/0.46 ((!! @ reg @ (^[Y0 : reg]: ($true))) = $false) | ~spl0_4),
% 0.24/0.46 inference(boolean_simplification,[],[f517])).
% 0.24/0.46 thf(f517,plain,(
% 0.24/0.46 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ catalunya)))) = $false) | ~spl0_4),
% 0.24/0.46 inference(boolean_simplification,[],[f516])).
% 0.24/0.46 thf(f516,plain,(
% 0.24/0.46 (($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ catalunya))))) = $false) | ~spl0_4),
% 0.24/0.46 inference(superposition,[],[f508,f350])).
% 0.24/0.46 thf(f350,plain,(
% 0.24/0.46 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))),
% 0.24/0.46 inference(boolean_simplification,[],[f349])).
% 0.24/0.46 thf(f349,plain,(
% 0.24/0.46 ($true = ($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))),
% 0.24/0.46 inference(backward_demodulation,[],[f344,f348])).
% 0.24/0.46 thf(f348,plain,(
% 0.24/0.46 ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) = $true)),
% 0.24/0.46 inference(binary_proxy_clausification,[],[f344])).
% 0.24/0.46 thf(f344,plain,(
% 0.24/0.46 ($true = ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))),
% 0.24/0.46 inference(boolean_simplification,[],[f343])).
% 0.24/0.46 thf(f343,plain,(
% 0.24/0.46 ($true = (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))) & $true))),
% 0.24/0.46 inference(backward_demodulation,[],[f336,f341])).
% 0.24/0.46 thf(f341,plain,(
% 0.24/0.46 ($true = (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain))))))),
% 0.24/0.46 inference(binary_proxy_clausification,[],[f336])).
% 0.24/0.46 thf(f336,plain,(
% 0.24/0.46 ($true = (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))) & (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)))))))),
% 0.24/0.46 inference(boolean_simplification,[],[f335])).
% 0.24/0.46 thf(f335,plain,(
% 0.24/0.46 ($true = ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))) & (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)))))) | $false))),
% 0.24/0.46 inference(boolean_simplification,[],[f331])).
% 0.24/0.46 thf(f331,plain,(
% 0.24/0.46 ($true = ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))) & (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)))))) | (~ $true)))),
% 0.24/0.46 inference(superposition,[],[f328,f301])).
% 0.24/0.46 thf(f301,plain,(
% 0.24/0.46 ($true = (a @ sK2 @ sK3))),
% 0.24/0.46 inference(not_proxy_clausification,[],[f299])).
% 0.24/0.46 thf(f299,plain,(
% 0.24/0.46 ((~ (a @ sK2 @ sK3)) = $false)),
% 0.24/0.46 inference(boolean_simplification,[],[f297])).
% 0.24/0.46 thf(f297,plain,(
% 0.24/0.46 (($false | (~ (a @ sK2 @ sK3))) = $false)),
% 0.24/0.46 inference(backward_demodulation,[],[f294,f296])).
% 0.24/0.46 thf(f296,plain,(
% 0.24/0.46 (((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) = $false)),
% 0.24/0.46 inference(binary_proxy_clausification,[],[f294])).
% 0.24/0.46 thf(f294,plain,(
% 0.24/0.46 ((((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) | (~ (a @ sK2 @ sK3))) = $false)),
% 0.24/0.46 inference(beta_eta_normalization,[],[f293])).
% 0.24/0.46 thf(f293,plain,(
% 0.24/0.46 (((^[Y0 : $i]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) | (~ (a @ sK2 @ Y0)))) @ sK3) = $false)),
% 0.24/0.46 inference(sigma_clausification,[],[f292])).
% 0.24/0.46 thf(f292,plain,(
% 0.24/0.46 ((!! @ $i @ (^[Y0 : $i]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) | (~ (a @ sK2 @ Y0))))) = $false)),
% 0.24/0.46 inference(beta_eta_normalization,[],[f291])).
% 0.24/0.46 thf(f291,plain,(
% 0.24/0.46 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) | (~ (a @ Y0 @ Y1)))))) @ sK2) = $false)),
% 0.24/0.46 inference(sigma_clausification,[],[f288])).
% 0.24/0.46 thf(f288,plain,(
% 0.24/0.46 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) | (~ (a @ Y0 @ Y1))))))) = $false)),
% 0.24/0.46 inference(not_proxy_clausification,[],[f220])).
% 0.24/0.46 thf(f220,plain,(
% 0.24/0.46 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) | (~ (a @ Y0 @ Y1)))))))))),
% 0.24/0.46 inference(beta_eta_normalization,[],[f217])).
% 0.24/0.46 thf(f217,plain,(
% 0.24/0.46 ($true = (~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a @ (^[Y0 : $i]: (((^[Y1 : reg]: ((^[Y2 : reg]: (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2) & ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y1))))))) @ catalunya @ spain) & ((^[Y1 : reg]: ((^[Y2 : reg]: (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2) & ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y1))))))) @ france @ paris)))))))),
% 0.24/0.46 inference(definition_unfolding,[],[f189,f180,f175,f206,f206])).
% 0.24/0.46 thf(f206,plain,(
% 0.24/0.46 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0))))))))),
% 0.24/0.46 inference(definition_unfolding,[],[f154,f191,f191])).
% 0.24/0.46 thf(f191,plain,(
% 0.24/0.46 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.24/0.46 inference(cnf_transformation,[],[f53])).
% 0.24/0.46 thf(f53,plain,(
% 0.24/0.46 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.24/0.46 inference(fool_elimination,[],[f52])).
% 0.24/0.46 thf(f52,plain,(
% 0.24/0.46 ((^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))) = p)),
% 0.24/0.46 inference(rectify,[],[f35])).
% 0.24/0.46 thf(f35,axiom,(
% 0.24/0.46 ((^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))) = p)),
% 0.24/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p)).
% 0.24/0.46 thf(f154,plain,(
% 0.24/0.46 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))),
% 0.24/0.46 inference(cnf_transformation,[],[f144])).
% 0.24/0.46 thf(f144,plain,(
% 0.24/0.46 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))),
% 0.24/0.46 inference(fool_elimination,[],[f143])).
% 0.24/0.46 thf(f143,plain,(
% 0.24/0.46 ((^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X0) & (p @ X2 @ X1)))) = o)),
% 0.24/0.46 inference(rectify,[],[f37])).
% 0.24/0.46 thf(f37,axiom,(
% 0.24/0.46 ((^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X0) & (p @ X11 @ X1)))) = o)),
% 0.24/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o)).
% 0.24/0.46 thf(f175,plain,(
% 0.24/0.46 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.24/0.46 inference(cnf_transformation,[],[f111])).
% 0.24/0.46 thf(f111,plain,(
% 0.24/0.46 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.24/0.46 inference(fool_elimination,[],[f110])).
% 0.24/0.46 thf(f110,plain,(
% 0.24/0.46 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))) = mbox)),
% 0.24/0.46 inference(rectify,[],[f16])).
% 0.24/0.46 thf(f16,axiom,(
% 0.24/0.46 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))) = mbox)),
% 0.24/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 0.24/0.46 thf(f180,plain,(
% 0.24/0.46 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.24/0.46 inference(cnf_transformation,[],[f95])).
% 0.24/0.46 thf(f95,plain,(
% 0.24/0.46 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.24/0.46 inference(fool_elimination,[],[f94])).
% 0.24/0.46 thf(f94,plain,(
% 0.24/0.46 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.24/0.46 inference(rectify,[],[f28])).
% 0.24/0.46 thf(f28,axiom,(
% 0.24/0.46 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.24/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 0.24/0.46 thf(f189,plain,(
% 0.24/0.46 ($true = (~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: ((o @ catalunya @ spain) & (o @ france @ paris)))))))),
% 0.24/0.46 inference(cnf_transformation,[],[f57])).
% 0.24/0.46 thf(f57,plain,(
% 0.24/0.46 ($true = (~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: ((o @ catalunya @ spain) & (o @ france @ paris)))))))),
% 0.24/0.46 inference(fool_elimination,[],[f56])).
% 0.24/0.46 thf(f56,plain,(
% 0.24/0.46 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : ((o @ france @ paris) & (o @ catalunya @ spain)))))),
% 0.24/0.46 inference(rectify,[],[f50])).
% 0.24/0.46 thf(f50,negated_conjecture,(
% 0.24/0.46 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : ((o @ france @ paris) & (o @ catalunya @ spain)))))),
% 0.24/0.46 inference(negated_conjecture,[],[f49])).
% 0.24/0.46 thf(f49,conjecture,(
% 0.24/0.46 (mvalid @ (mbox @ a @ (^[X0 : $i] : ((o @ france @ paris) & (o @ catalunya @ spain)))))),
% 0.24/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.24/0.46 thf(f328,plain,(
% 0.24/0.46 ( ! [X2 : $i,X1 : $i] : (($true = ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))) & (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ spain)))))) | (~ (a @ X1 @ X2))))) )),
% 0.24/0.46 inference(beta_eta_normalization,[],[f327])).
% 0.24/0.46 thf(f327,plain,(
% 0.24/0.46 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain))))) & (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ catalunya)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain)))))) | (~ (a @ X1 @ Y0)))) @ X2))) )),
% 0.24/0.46 inference(pi_clausification,[],[f324])).
% 0.24/0.46 thf(f324,plain,(
% 0.24/0.46 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain))))) & (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ catalunya)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ spain)))))) | (~ (a @ X1 @ Y0))))))) )),
% 0.24/0.46 inference(beta_eta_normalization,[],[f323])).
% 0.24/0.46 thf(f323,plain,(
% 0.24/0.46 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain))))) & (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ catalunya)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ spain)))))) | (~ (a @ Y0 @ Y1)))))) @ X1))) )),
% 0.24/0.46 inference(pi_clausification,[],[f221])).
% 0.24/0.46 thf(f221,plain,(
% 0.24/0.46 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain))))) & (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ catalunya)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ spain)))))) | (~ (a @ Y0 @ Y1))))))))),
% 0.24/0.46 inference(beta_eta_normalization,[],[f218])).
% 0.24/0.46 thf(f218,plain,(
% 0.24/0.46 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4))))) @ Y1 @ Y2) & (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2)))))))) @ catalunya @ spain)))) = $true)),
% 0.24/0.46 inference(definition_unfolding,[],[f193,f180,f175,f210])).
% 0.24/0.46 thf(f210,plain,(
% 0.24/0.46 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: ((~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)) & ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3))))) @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1)))))))))),
% 0.24/0.46 inference(definition_unfolding,[],[f158,f209,f208,f208])).
% 0.24/0.46 thf(f208,plain,(
% 0.24/0.46 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2))))))) @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 0.24/0.46 inference(definition_unfolding,[],[f194,f206])).
% 0.24/0.46 thf(f194,plain,(
% 0.24/0.46 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 0.24/0.46 inference(cnf_transformation,[],[f85])).
% 0.24/0.46 thf(f85,plain,(
% 0.24/0.46 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 0.24/0.46 inference(fool_elimination,[],[f84])).
% 0.24/0.46 thf(f84,plain,(
% 0.24/0.46 ((^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))) = ec)),
% 0.24/0.46 inference(rectify,[],[f39])).
% 0.24/0.46 thf(f39,axiom,(
% 0.24/0.46 ((^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))) = ec)),
% 0.24/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ec)).
% 0.24/0.46 thf(f209,plain,(
% 0.24/0.46 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)) & ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1))))))),
% 0.24/0.46 inference(definition_unfolding,[],[f152,f191,f191])).
% 0.24/0.46 thf(f152,plain,(
% 0.24/0.46 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))),
% 0.24/0.46 inference(cnf_transformation,[],[f146])).
% 0.24/0.46 thf(f146,plain,(
% 0.24/0.46 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))),
% 0.24/0.46 inference(fool_elimination,[],[f145])).
% 0.24/0.46 thf(f145,plain,(
% 0.24/0.46 (pp = (^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))))),
% 0.24/0.46 inference(rectify,[],[f40])).
% 0.24/0.46 thf(f40,axiom,(
% 0.24/0.46 (pp = (^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))))),
% 0.24/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pp)).
% 0.24/0.46 thf(f158,plain,(
% 0.24/0.46 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))))))))),
% 0.24/0.46 inference(cnf_transformation,[],[f123])).
% 0.24/0.46 thf(f123,plain,(
% 0.24/0.46 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))))))))),
% 0.24/0.46 inference(fool_elimination,[],[f122])).
% 0.24/0.46 thf(f122,plain,(
% 0.24/0.46 (tpp = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)) & (pp @ X0 @ X1))))),
% 0.24/0.46 inference(rectify,[],[f41])).
% 0.24/0.46 thf(f41,axiom,(
% 0.24/0.46 (tpp = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)) & (pp @ X0 @ X1))))),
% 0.24/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tpp)).
% 0.24/0.46 thf(f193,plain,(
% 0.24/0.46 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
% 0.24/0.46 inference(cnf_transformation,[],[f63])).
% 0.24/0.46 thf(f63,plain,(
% 0.24/0.46 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
% 0.24/0.46 inference(fool_elimination,[],[f62])).
% 0.24/0.46 thf(f62,plain,(
% 0.24/0.46 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 0.24/0.46 inference(rectify,[],[f46])).
% 0.24/0.46 thf(f46,axiom,(
% 0.24/0.46 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 0.24/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)).
% 0.24/0.46 thf(f508,plain,(
% 0.24/0.46 ( ! [X1 : reg] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ catalunya))))) = $false)) ) | ~spl0_4),
% 0.24/0.46 inference(beta_eta_normalization,[],[f507])).
% 0.24/0.46 thf(f507,plain,(
% 0.24/0.46 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))) @ X1) = $false)) ) | ~spl0_4),
% 0.24/0.46 inference(pi_clausification,[],[f319])).
% 0.24/0.46 thf(f319,plain,(
% 0.24/0.46 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))) = $false) | ~spl0_4),
% 0.24/0.46 inference(avatar_component_clause,[],[f318])).
% 0.24/0.46 thf(f318,plain,(
% 0.24/0.46 spl0_4 <=> ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))) = $false)),
% 0.24/0.46 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.24/0.46 thf(f504,plain,(
% 0.24/0.46 ~spl0_3),
% 0.24/0.46 inference(avatar_contradiction_clause,[],[f503])).
% 0.24/0.46 thf(f503,plain,(
% 0.24/0.46 $false | ~spl0_3),
% 0.24/0.46 inference(trivial_inequality_removal,[],[f502])).
% 0.24/0.46 thf(f502,plain,(
% 0.24/0.46 ($true = $false) | ~spl0_3),
% 0.24/0.46 inference(beta_eta_normalization,[],[f501])).
% 0.24/0.46 thf(f501,plain,(
% 0.24/0.46 (((^[Y0 : reg]: ($true)) @ sK7) = $false) | ~spl0_3),
% 0.24/0.46 inference(sigma_clausification,[],[f445])).
% 0.24/0.46 thf(f445,plain,(
% 0.24/0.46 ((!! @ reg @ (^[Y0 : reg]: ($true))) = $false) | ~spl0_3),
% 0.24/0.46 inference(boolean_simplification,[],[f444])).
% 0.24/0.46 thf(f444,plain,(
% 0.24/0.46 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ paris)))) = $false) | ~spl0_3),
% 0.24/0.46 inference(boolean_simplification,[],[f443])).
% 0.24/0.46 thf(f443,plain,(
% 0.24/0.46 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ paris)))) & $true) = $false) | ~spl0_3),
% 0.24/0.46 inference(superposition,[],[f326,f385])).
% 0.24/0.46 thf(f385,plain,(
% 0.24/0.46 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))))),
% 0.24/0.46 inference(binary_proxy_clausification,[],[f378])).
% 0.24/0.46 thf(f378,plain,(
% 0.24/0.46 ($true = ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))))),
% 0.24/0.46 inference(boolean_simplification,[],[f377])).
% 0.24/0.46 thf(f377,plain,(
% 0.24/0.46 ($true = (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & $true))),
% 0.24/0.46 inference(backward_demodulation,[],[f363,f375])).
% 0.24/0.46 thf(f375,plain,(
% 0.24/0.46 ((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france)))))) = $true)),
% 0.24/0.46 inference(binary_proxy_clausification,[],[f363])).
% 0.24/0.46 thf(f363,plain,(
% 0.24/0.46 ($true = (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france))))))))),
% 0.24/0.46 inference(boolean_simplification,[],[f362])).
% 0.24/0.46 thf(f362,plain,(
% 0.24/0.46 ($true = ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france))))))) | $false))),
% 0.24/0.46 inference(boolean_simplification,[],[f359])).
% 0.24/0.46 thf(f359,plain,(
% 0.24/0.46 ($true = ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france))))))) | (~ $true)))),
% 0.24/0.46 inference(superposition,[],[f352,f308])).
% 0.24/0.46 thf(f308,plain,(
% 0.24/0.46 ($true = (a @ sK2 @ sK4))),
% 0.24/0.46 inference(not_proxy_clausification,[],[f307])).
% 0.24/0.46 thf(f307,plain,(
% 0.24/0.46 ((~ (a @ sK2 @ sK4)) = $false)),
% 0.24/0.46 inference(beta_eta_normalization,[],[f306])).
% 0.24/0.46 thf(f306,plain,(
% 0.24/0.46 (((^[Y0 : $i]: (~ (a @ sK2 @ Y0))) @ sK4) = $false)),
% 0.24/0.46 inference(sigma_clausification,[],[f300])).
% 0.24/0.46 thf(f300,plain,(
% 0.24/0.46 ((!! @ $i @ (^[Y0 : $i]: (~ (a @ sK2 @ Y0)))) = $false)),
% 0.24/0.46 inference(boolean_simplification,[],[f298])).
% 0.24/0.46 thf(f298,plain,(
% 0.24/0.46 ($false = (!! @ $i @ (^[Y0 : $i]: ($false | (~ (a @ sK2 @ Y0))))))),
% 0.24/0.46 inference(backward_demodulation,[],[f292,f296])).
% 0.24/0.46 thf(f352,plain,(
% 0.24/0.46 ( ! [X2 : $i,X1 : $i] : (($true = ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))) & (c @ Y0 @ france))))))) | (~ (a @ X1 @ X2))))) )),
% 0.24/0.46 inference(beta_eta_normalization,[],[f351])).
% 0.24/0.46 thf(f351,plain,(
% 0.24/0.46 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ paris)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france))))))) | (~ (a @ X1 @ Y0)))) @ X2))) )),
% 0.24/0.46 inference(pi_clausification,[],[f346])).
% 0.24/0.46 thf(f346,plain,(
% 0.24/0.46 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ paris)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))) & (c @ Y1 @ france))))))) | (~ (a @ X1 @ Y0))))))) )),
% 0.24/0.46 inference(beta_eta_normalization,[],[f345])).
% 0.24/0.46 thf(f345,plain,(
% 0.24/0.46 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ paris)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ france))))))) | (~ (a @ Y0 @ Y1)))))) @ X1))) )),
% 0.24/0.46 inference(pi_clausification,[],[f225])).
% 0.24/0.46 thf(f225,plain,(
% 0.24/0.46 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ paris)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))) & (c @ Y2 @ france))))))) | (~ (a @ Y0 @ Y1))))))))),
% 0.24/0.46 inference(beta_eta_normalization,[],[f213])).
% 0.24/0.46 thf(f213,plain,(
% 0.24/0.46 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4))))) @ Y1 @ Y2) & (~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2))))))))) @ paris @ france)))))),
% 0.24/0.46 inference(definition_unfolding,[],[f150,f180,f175,f211])).
% 0.24/0.46 thf(f211,plain,(
% 0.24/0.46 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: ((~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)) & ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3))))) @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1))))))))))),
% 0.24/0.46 inference(definition_unfolding,[],[f190,f209,f208,f208])).
% 0.24/0.46 thf(f190,plain,(
% 0.24/0.46 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
% 0.24/0.46 inference(cnf_transformation,[],[f89])).
% 0.24/0.46 thf(f89,plain,(
% 0.24/0.46 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
% 0.24/0.46 inference(fool_elimination,[],[f88])).
% 0.24/0.46 thf(f88,plain,(
% 0.24/0.46 ((^[X0 : reg, X1 : reg] : (~? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)) & (pp @ X0 @ X1))) = ntpp)),
% 0.24/0.46 inference(rectify,[],[f42])).
% 0.24/0.46 thf(f42,axiom,(
% 0.24/0.46 ((^[X0 : reg, X1 : reg] : (~? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)) & (pp @ X0 @ X1))) = ntpp)),
% 0.24/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ntpp)).
% 0.24/0.46 thf(f150,plain,(
% 0.24/0.46 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))))),
% 0.24/0.46 inference(cnf_transformation,[],[f132])).
% 0.24/0.46 thf(f132,plain,(
% 0.24/0.46 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))))),
% 0.24/0.46 inference(fool_elimination,[],[f131])).
% 0.24/0.46 thf(f131,plain,(
% 0.24/0.46 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 0.24/0.46 inference(rectify,[],[f48])).
% 0.24/0.46 thf(f48,axiom,(
% 0.24/0.46 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 0.24/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)).
% 0.24/0.46 thf(f326,plain,(
% 0.24/0.46 ( ! [X1 : reg] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ paris)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france))))) = $false)) ) | ~spl0_3),
% 0.24/0.46 inference(beta_eta_normalization,[],[f325])).
% 0.24/0.46 thf(f325,plain,(
% 0.24/0.46 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) @ X1) = $false)) ) | ~spl0_3),
% 0.24/0.46 inference(pi_clausification,[],[f316])).
% 0.24/0.46 thf(f316,plain,(
% 0.24/0.46 ($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) | ~spl0_3),
% 0.24/0.46 inference(avatar_component_clause,[],[f315])).
% 0.24/0.46 thf(f315,plain,(
% 0.24/0.46 spl0_3 <=> ($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))),
% 0.24/0.46 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.24/0.46 thf(f320,plain,(
% 0.24/0.46 spl0_3 | spl0_4),
% 0.24/0.46 inference(avatar_split_clause,[],[f313,f318,f315])).
% 0.24/0.46 thf(f313,plain,(
% 0.24/0.46 ($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ 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 @ catalunya))))))) = $false)),
% 0.24/0.46 inference(binary_proxy_clausification,[],[f296])).
% 0.24/0.46 % SZS output end Proof for theBenchmark
% 0.24/0.46 % (16824)------------------------------
% 0.24/0.46 % (16824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (16824)Termination reason: Refutation
% 0.24/0.46
% 0.24/0.46 % (16824)Memory used [KB]: 6140
% 0.24/0.46 % (16824)Time elapsed: 0.040 s
% 0.24/0.46 % (16824)Instructions burned: 83 (million)
% 0.24/0.46 % (16824)------------------------------
% 0.24/0.46 % (16824)------------------------------
% 0.24/0.46 % (16812)Success in time 0.053 s
% 0.24/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------